ConnectPP---0.7.2.THM-Prf.s

%------------------------------------------------------------------------------
% File     : ConnectPP---0.7.2
% Problem  : SWW478+3 : TPTP v9.3.1. Released v5.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n004.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Sep 24 09:08:09 AM UTC 2026

% Result   : Theorem 4.45s 4.76s
% Output   : Proof 4.57s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
fof(gsy_c_BigStep_Ofinal_000tc__List__Olist_Itc__String__Ochar_J,axiom,
    ! [B_1_1] : is_bool(final_list_char(B_1_1)),
    file('theBenchmark.p',gsy_c_BigStep_Ofinal_000tc__List__Olist_Itc__String__Ochar_J) ).

fof(gsy_c_BigStep_Ofinals_000tc__List__Olist_Itc__String__Ochar_J,axiom,
    ! [B_1_1] : is_bool(finals_list_char(B_1_1)),
    file('theBenchmark.p',gsy_c_BigStep_Ofinals_000tc__List__Olist_Itc__String__Ochar_J) ).

fof(gsy_c_Conform_Oconf_000tc__prod_Itc__List__Olist_Itc__List__Olist_Itc__String__O,axiom,
    ! [B_1_1,B_2_1,B_3_1,B_4_1] : is_bool(conf_P373316194t_char(B_1_1,B_2_1,B_3_1,B_4_1)),
    file('theBenchmark.p',gsy_c_Conform_Oconf_000tc__prod_Itc__List__Olist_Itc__List__Olist_Itc__String__O) ).

fof(gsy_c_DefAss_O_092_060D_062_000tc__List__Olist_Itc__String__Ochar_J,axiom,
    ! [B_1_1,B_2_1] : is_bool(d_list_char(B_1_1,B_2_1)),
    file('theBenchmark.p',gsy_c_DefAss_O_092_060D_062_000tc__List__Olist_Itc__String__Ochar_J) ).

fof(gsy_c_Exceptions_Opreallocated,axiom,
    ! [B_1_1] : is_bool(preallocated(B_1_1)),
    file('theBenchmark.p',gsy_c_Exceptions_Opreallocated) ).

fof(gsy_c_Expr_Obop_OAdd,axiom,
    is_bop(add),
    file('theBenchmark.p',gsy_c_Expr_Obop_OAdd) ).

fof(gsy_c_Expr_Obop_OEq,axiom,
    is_bop(c_Expr_Obop_OEq),
    file('theBenchmark.p',gsy_c_Expr_Obop_OEq) ).

fof(gsy_c_HOL_Oundefined_000tc__Expr__Obop,axiom,
    is_bop(undefined_bop(bop)),
    file('theBenchmark.p',gsy_c_HOL_Oundefined_000tc__Expr__Obop) ).

fof(gsy_c_List_Odistinct_000tc__List__Olist_Itc__String__Ochar_J,axiom,
    ! [B_1_1] : is_bool(distinct_list_char(B_1_1)),
    file('theBenchmark.p',gsy_c_List_Odistinct_000tc__List__Olist_Itc__String__Ochar_J) ).

fof(gsy_c_List_Olist__all2_000tc__Type__Oty_000tc__Type__Oty,axiom,
    ! [B_1_1,B_2_1,B_3_1] : is_bool(list_all2_ty_ty(B_1_1,B_2_1,B_3_1)),
    file('theBenchmark.p',gsy_c_List_Olist__all2_000tc__Type__Oty_000tc__Type__Oty) ).

fof(gsy_c_Objects_Ohext,axiom,
    ! [B_1_1,B_2_1] : is_bool(hext(B_1_1,B_2_1)),
    file('theBenchmark.p',gsy_c_Objects_Ohext) ).

fof(gsy_c_Progress_OWTrt_H,axiom,
    ! [B_1_1,B_2_1,B_3_1,B_4_1,B_5_1] : is_bool(wTrt(B_1_1,B_2_1,B_3_1,B_4_1,B_5_1)),
    file('theBenchmark.p',gsy_c_Progress_OWTrt_H) ).

fof(gsy_c_Progress_OWTrts_H,axiom,
    ! [B_1_1,B_2_1,B_3_1,B_4_1,B_5_1] : is_bool(wTrts(B_1_1,B_2_1,B_3_1,B_4_1,B_5_1)),
    file('theBenchmark.p',gsy_c_Progress_OWTrts_H) ).

fof(gsy_c_SmallStep_Oassigned,axiom,
    ! [B_1_1,B_2_1] : is_bool(assigned(B_1_1,B_2_1)),
    file('theBenchmark.p',gsy_c_SmallStep_Oassigned) ).

fof(gsy_c_TypeRel_OFields_000tc__prod_Itc__List__Olist_Itc__List__Olist_Itc__String_,axiom,
    ! [B_1_1,B_2_1,B_3_1] : is_bool(fields1147507508t_char(B_1_1,B_2_1,B_3_1)),
    file('theBenchmark.p',gsy_c_TypeRel_OFields_000tc__prod_Itc__List__Olist_Itc__List__Olist_Itc__String_) ).

fof(gsy_c_Type_Ois__refT,axiom,
    ! [B_1_1] : is_bool(is_refT(B_1_1)),
    file('theBenchmark.p',gsy_c_Type_Ois__refT) ).

fof(gsy_c_WellForm_Owf__prog_000tc__prod_Itc__List__Olist_Itc__List__Olist_Itc__Stri,axiom,
    ! [B_1_1,B_2_1] : is_bool(wf_pro755087577t_char(B_1_1,B_2_1)),
    file('theBenchmark.p',gsy_c_WellForm_Owf__prog_000tc__prod_Itc__List__Olist_Itc__List__Olist_Itc__Stri) ).

fof(gsy_c_WellTypeRT_OWTrt,axiom,
    ! [B_1_1,B_2_1,B_3_1,B_4_1,B_5_1] : is_bool(wTrt_1(B_1_1,B_2_1,B_3_1,B_4_1,B_5_1)),
    file('theBenchmark.p',gsy_c_WellTypeRT_OWTrt) ).

fof(gsy_c_WellTypeRT_OWTrts,axiom,
    ! [B_1_1,B_2_1,B_3_1,B_4_1,B_5_1] : is_bool(wTrts_1(B_1_1,B_2_1,B_3_1,B_4_1,B_5_1)),
    file('theBenchmark.p',gsy_c_WellTypeRT_OWTrts) ).

fof(gsy_c_fFalse,axiom,
    is_bool(fFalse),
    file('theBenchmark.p',gsy_c_fFalse) ).

fof(gsy_c_fTrue,axiom,
    is_bool(fTrue),
    file('theBenchmark.p',gsy_c_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)),
    file('theBenchmark.p',gsy_c_hAPP_000tc__Expr__Oexp_Itc__List__Olist_Itc__String__Ochar_J_J_000tc__HOL_) ).

fof(gsy_c_hAPP_000tc__HOL__Obool_000tc__HOL__Obool,axiom,
    ! [B_1_1,B_2_1] :
      ( is_bool(B_2_1)
     => is_bool(hAPP_bool_bool(B_1_1,B_2_1)) ),
    file('theBenchmark.p',gsy_c_hAPP_000tc__HOL__Obool_000tc__HOL__Obool) ).

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)),
    file('theBenchmark.p',gsy_c_hAPP_000tc__List__Olist_Itc__String__Ochar_J_000tc__HOL__Obool) ).

fof(gsy_c_hAPP_000tc__List__Olist_Itc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mt,axiom,
    ! [B_1_1,B_2_1] : is_bool(hAPP_l902158906r_bool(B_1_1,B_2_1)),
    file('theBenchmark.p',gsy_c_hAPP_000tc__List__Olist_Itc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mt) ).

fof(gsy_c_hAPP_000tc__Nat__Onat_000tc__HOL__Obool,axiom,
    ! [B_1_1,B_2_1] : is_bool(hAPP_nat_bool(B_1_1,B_2_1)),
    file('theBenchmark.p',gsy_c_hAPP_000tc__Nat__Onat_000tc__HOL__Obool) ).

fof(gsy_c_hAPP_000tc__Option__Ooption_Itc__Type__Oty_J_000tc__HOL__Obool,axiom,
    ! [B_1_1,B_2_1] : is_bool(hAPP_option_ty_bool(B_1_1,B_2_1)),
    file('theBenchmark.p',gsy_c_hAPP_000tc__Option__Ooption_Itc__Type__Oty_J_000tc__HOL__Obool) ).

fof(gsy_c_hAPP_000tc__Option__Ooption_Itc__Value__Oval_J_000tc__HOL__Obool,axiom,
    ! [B_1_1,B_2_1] : is_bool(hAPP_option_val_bool(B_1_1,B_2_1)),
    file('theBenchmark.p',gsy_c_hAPP_000tc__Option__Ooption_Itc__Value__Oval_J_000tc__HOL__Obool) ).

fof(gsy_c_hAPP_000tc__Option__Ooption_Itc__prod_Itc__List__Olist_Itc__String__Ochar_,axiom,
    ! [B_1_1,B_2_1] : is_bool(hAPP_o2007402111l_bool(B_1_1,B_2_1)),
    file('theBenchmark.p',gsy_c_hAPP_000tc__Option__Ooption_Itc__prod_Itc__List__Olist_Itc__String__Ochar_) ).

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)),
    file('theBenchmark.p',gsy_c_hAPP_000tc__Type__Oty_000tc__HOL__Obool) ).

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)),
    file('theBenchmark.p',gsy_c_hAPP_000tc__Value__Oval_000tc__HOL__Obool) ).

fof(gsy_c_hAPP_000tc__fun_Itc__Expr__Obop_Mtc__fun_Itc__prod_Itc__Value__Oval_Mtc__V,axiom,
    ! [B_1_1,B_2_1] : is_bool(hAPP_f1776070952l_bool(B_1_1,B_2_1)),
    file('theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__Expr__Obop_Mtc__fun_Itc__prod_Itc__Value__Oval_Mtc__V) ).

fof(gsy_c_hAPP_000tc__fun_Itc__Expr__Oexp_Itc__List__Olist_Itc__String__Ochar_J_J_Mt,axiom,
    ! [B_1_1,B_2_1] : is_bool(hAPP_f570766339l_bool(B_1_1,B_2_1)),
    file('theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__Expr__Oexp_Itc__List__Olist_Itc__String__Ochar_J_J_Mt) ).

fof(gsy_c_hAPP_000tc__fun_Itc__List__Olist_Itc__Expr__Oexp_Itc__List__Olist_Itc__Str,axiom,
    ! [B_1_1,B_2_1] : is_bool(hAPP_f2041029616l_bool(B_1_1,B_2_1)),
    file('theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__List__Olist_Itc__Expr__Oexp_Itc__List__Olist_Itc__Str) ).

fof(gsy_c_hAPP_000tc__fun_Itc__List__Olist_Itc__List__Olist_Itc__String__Ochar_J_J_M,axiom,
    ! [B_1_1,B_2_1] : is_bool(hAPP_f539072365l_bool(B_1_1,B_2_1)),
    file('theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__List__Olist_Itc__List__Olist_Itc__String__Ochar_J_J_M) ).

fof(gsy_c_hAPP_000tc__fun_Itc__List__Olist_Itc__List__Olist_Itc__String__Ochar_J_J_M_001,axiom,
    ! [B_1_1,B_2_1] : is_bool(hAPP_f998390560l_bool(B_1_1,B_2_1)),
    file('theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__List__Olist_Itc__List__Olist_Itc__String__Ochar_J_J_M_001) ).

fof(gsy_c_hAPP_000tc__fun_Itc__List__Olist_Itc__String__Ochar_J_Mtc__HOL__Obool_J_00,axiom,
    ! [B_1_1,B_2_1] : is_bool(hAPP_f986089162l_bool(B_1_1,B_2_1)),
    file('theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__List__Olist_Itc__String__Ochar_J_Mtc__HOL__Obool_J_00) ).

fof(gsy_c_hAPP_000tc__fun_Itc__List__Olist_Itc__String__Ochar_J_Mtc__Option__Ooption,axiom,
    ! [B_1_1,B_2_1] : is_bool(hAPP_f1001225811y_bool(B_1_1,B_2_1)),
    file('theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__List__Olist_Itc__String__Ochar_J_Mtc__Option__Ooption) ).

fof(gsy_c_hAPP_000tc__fun_Itc__List__Olist_Itc__String__Ochar_J_Mtc__Option__Ooption_002,axiom,
    ! [B_1_1,B_2_1] : is_bool(hAPP_f1033709212l_bool(B_1_1,B_2_1)),
    file('theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__List__Olist_Itc__String__Ochar_J_Mtc__Option__Ooption_002) ).

fof(gsy_c_hAPP_000tc__fun_Itc__List__Olist_Itc__String__Ochar_J_Mtc__fun_Itc__List__,axiom,
    ! [B_1_1,B_2_1] : is_bool(hAPP_f1776419603l_bool(B_1_1,B_2_1)),
    file('theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__List__Olist_Itc__String__Ochar_J_Mtc__fun_Itc__List__) ).

fof(gsy_c_hAPP_000tc__fun_Itc__List__Olist_Itc__String__Ochar_J_Mtc__fun_Itc__fun_It,axiom,
    ! [B_1_1,B_2_1] : is_bool(hAPP_f678833350l_bool(B_1_1,B_2_1)),
    file('theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__List__Olist_Itc__String__Ochar_J_Mtc__fun_Itc__fun_It) ).

fof(gsy_c_hAPP_000tc__fun_Itc__List__Olist_Itc__String__Ochar_J_Mtc__fun_Itc__prod_I,axiom,
    ! [B_1_1,B_2_1] : is_bool(hAPP_f1795246582l_bool(B_1_1,B_2_1)),
    file('theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__List__Olist_Itc__String__Ochar_J_Mtc__fun_Itc__prod_I) ).

fof(gsy_c_hAPP_000tc__fun_Itc__List__Olist_Itc__String__Ochar_J_Mtc__fun_Itc__prod_I_003,axiom,
    ! [B_1_1,B_2_1] : is_bool(hAPP_f1931964053l_bool(B_1_1,B_2_1)),
    file('theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__List__Olist_Itc__String__Ochar_J_Mtc__fun_Itc__prod_I_003) ).

fof(gsy_c_hAPP_000tc__fun_Itc__List__Olist_Itc__String__Ochar_J_Mtc__fun_Itc__prod_I_004,axiom,
    ! [B_1_1,B_2_1] : is_bool(hAPP_f1520735791l_bool(B_1_1,B_2_1)),
    file('theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__List__Olist_Itc__String__Ochar_J_Mtc__fun_Itc__prod_I_004) ).

fof(gsy_c_hAPP_000tc__fun_Itc__List__Olist_Itc__Type__Oty_J_Mtc__fun_Itc__prod_Itc__,axiom,
    ! [B_1_1,B_2_1] : is_bool(hAPP_f1889282162l_bool(B_1_1,B_2_1)),
    file('theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__List__Olist_Itc__Type__Oty_J_Mtc__fun_Itc__prod_Itc__) ).

fof(gsy_c_hAPP_000tc__fun_Itc__List__Olist_Itc__Value__Oval_J_Mtc__fun_Itc__Expr__Oe,axiom,
    ! [B_1_1,B_2_1] : is_bool(hAPP_f1118567467l_bool(B_1_1,B_2_1)),
    file('theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__List__Olist_Itc__Value__Oval_J_Mtc__fun_Itc__Expr__Oe) ).

fof(gsy_c_hAPP_000tc__fun_Itc__List__Olist_Itc__prod_Itc__List__Olist_Itc__String__O,axiom,
    ! [B_1_1,B_2_1] : is_bool(hAPP_f1409772418l_bool(B_1_1,B_2_1)),
    file('theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__List__Olist_Itc__prod_Itc__List__Olist_Itc__String__O) ).

fof(gsy_c_hAPP_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_J_000tc__HOL__Obool,axiom,
    ! [B_1_1,B_2_1] : is_bool(hAPP_f54304608l_bool(B_1_1,B_2_1)),
    file('theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_J_000tc__HOL__Obool) ).

fof(gsy_c_hAPP_000tc__fun_Itc__Nat__Onat_Mtc__Option__Ooption_Itc__prod_Itc__List__O,axiom,
    ! [B_1_1,B_2_1] : is_bool(hAPP_f61040418l_bool(B_1_1,B_2_1)),
    file('theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__Nat__Onat_Mtc__Option__Ooption_Itc__prod_Itc__List__O) ).

fof(gsy_c_hAPP_000tc__fun_Itc__Value__Oval_Mtc__fun_Itc__Value__Oval_Mtc__HOL__Obool,axiom,
    ! [B_1_1,B_2_1] : is_bool(hAPP_f2071159779l_bool(B_1_1,B_2_1)),
    file('theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__Value__Oval_Mtc__fun_Itc__Value__Oval_Mtc__HOL__Obool) ).

fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Nat__Onat_Mtc__Option__Ooption_Itc__prod_Itc,axiom,
    ! [B_1_1,B_2_1] : is_bool(hAPP_f1450446905l_bool(B_1_1,B_2_1)),
    file('theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Nat__Onat_Mtc__Option__Ooption_Itc__prod_Itc) ).

fof(gsy_c_hAPP_000tc__fun_Itc__prod_Itc__Expr__Obop_Mtc__Expr__Obop_J_Mtc__HOL__Oboo,axiom,
    ! [B_1_1,B_2_1] :
      ( is_fun1083000568p_bool(B_2_1)
     => is_bool(hAPP_f1854361213l_bool(B_1_1,B_2_1)) ),
    file('theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__prod_Itc__Expr__Obop_Mtc__Expr__Obop_J_Mtc__HOL__Oboo) ).

fof(gsy_c_hAPP_000tc__fun_Itc__prod_Itc__Expr__Obop_Mtc__prod_Itc__Value__Oval_Mtc__,axiom,
    ! [B_1_1,B_2_1] : is_bool(hAPP_f742333458l_bool(B_1_1,B_2_1)),
    file('theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__prod_Itc__Expr__Obop_Mtc__prod_Itc__Value__Oval_Mtc__) ).

fof(gsy_c_hAPP_000tc__fun_Itc__prod_Itc__Expr__Oexp_Itc__List__Olist_Itc__String__Oc,axiom,
    ! [B_1_1,B_2_1] : is_bool(hAPP_f588675559l_bool(B_1_1,B_2_1)),
    file('theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__prod_Itc__Expr__Oexp_Itc__List__Olist_Itc__String__Oc) ).

fof(gsy_c_hAPP_000tc__fun_Itc__prod_Itc__Expr__Oexp_Itc__List__Olist_Itc__String__Oc_005,axiom,
    ! [B_1_1,B_2_1] : is_bool(hAPP_f91506671l_bool(B_1_1,B_2_1)),
    file('theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__prod_Itc__Expr__Oexp_Itc__List__Olist_Itc__String__Oc_005) ).

fof(gsy_c_hAPP_000tc__fun_Itc__prod_Itc__Expr__Oexp_Itc__List__Olist_Itc__String__Oc_006,axiom,
    ! [B_1_1,B_2_1] : is_bool(hAPP_f434955681l_bool(B_1_1,B_2_1)),
    file('theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__prod_Itc__Expr__Oexp_Itc__List__Olist_Itc__String__Oc_006) ).

fof(gsy_c_hAPP_000tc__fun_Itc__prod_Itc__List__Olist_Itc__Expr__Oexp_Itc__List__Olis,axiom,
    ! [B_1_1,B_2_1] : is_bool(hAPP_f1734260017l_bool(B_1_1,B_2_1)),
    file('theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__prod_Itc__List__Olist_Itc__Expr__Oexp_Itc__List__Olis) ).

fof(gsy_c_hAPP_000tc__fun_Itc__prod_Itc__List__Olist_Itc__Expr__Oexp_Itc__List__Olis_007,axiom,
    ! [B_1_1,B_2_1] : is_bool(hAPP_f837795298l_bool(B_1_1,B_2_1)),
    file('theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__prod_Itc__List__Olist_Itc__Expr__Oexp_Itc__List__Olis_007) ).

fof(gsy_c_hAPP_000tc__fun_Itc__prod_Itc__List__Olist_Itc__Expr__Oexp_Itc__List__Olis_008,axiom,
    ! [B_1_1,B_2_1] : is_bool(hAPP_f861853459l_bool(B_1_1,B_2_1)),
    file('theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__prod_Itc__List__Olist_Itc__Expr__Oexp_Itc__List__Olis_008) ).

fof(gsy_c_hAPP_000tc__fun_Itc__prod_Itc__List__Olist_Itc__List__Olist_Itc__String__O,axiom,
    ! [B_1_1,B_2_1] : is_bool(hAPP_f82569901l_bool(B_1_1,B_2_1)),
    file('theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__prod_Itc__List__Olist_Itc__List__Olist_Itc__String__O) ).

fof(gsy_c_hAPP_000tc__fun_Itc__prod_Itc__List__Olist_Itc__List__Olist_Itc__String__O_009,axiom,
    ! [B_1_1,B_2_1] : is_bool(hAPP_f479632753l_bool(B_1_1,B_2_1)),
    file('theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__prod_Itc__List__Olist_Itc__List__Olist_Itc__String__O_009) ).

fof(gsy_c_hAPP_000tc__fun_Itc__prod_Itc__List__Olist_Itc__List__Olist_Itc__String__O_010,axiom,
    ! [B_1_1,B_2_1] : is_bool(hAPP_f1780084320l_bool(B_1_1,B_2_1)),
    file('theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__prod_Itc__List__Olist_Itc__List__Olist_Itc__String__O_010) ).

fof(gsy_c_hAPP_000tc__fun_Itc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__List_,axiom,
    ! [B_1_1,B_2_1] : is_bool(hAPP_f2106398425l_bool(B_1_1,B_2_1)),
    file('theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__List_) ).

fof(gsy_c_hAPP_000tc__fun_Itc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__List__011,axiom,
    ! [B_1_1,B_2_1] : is_bool(hAPP_f1715346603l_bool(B_1_1,B_2_1)),
    file('theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__List__011) ).

fof(gsy_c_hAPP_000tc__fun_Itc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__fun_I,axiom,
    ! [B_1_1,B_2_1] : is_bool(hAPP_f1134950784l_bool(B_1_1,B_2_1)),
    file('theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__fun_I) ).

fof(gsy_c_hAPP_000tc__fun_Itc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__prod_,axiom,
    ! [B_1_1,B_2_1] : is_bool(hAPP_f515912112l_bool(B_1_1,B_2_1)),
    file('theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__prod_) ).

fof(gsy_c_hAPP_000tc__fun_Itc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__prod__012,axiom,
    ! [B_1_1,B_2_1] : is_bool(hAPP_f483496539l_bool(B_1_1,B_2_1)),
    file('theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__prod__012) ).

fof(gsy_c_hAPP_000tc__fun_Itc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__prod__013,axiom,
    ! [B_1_1,B_2_1] : is_bool(hAPP_f2050077417l_bool(B_1_1,B_2_1)),
    file('theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__prod__013) ).

fof(gsy_c_hAPP_000tc__fun_Itc__prod_Itc__List__Olist_Itc__Type__Oty_J_Mtc__List__Oli,axiom,
    ! [B_1_1,B_2_1] : is_bool(hAPP_f433445541l_bool(B_1_1,B_2_1)),
    file('theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__prod_Itc__List__Olist_Itc__Type__Oty_J_Mtc__List__Oli) ).

fof(gsy_c_hAPP_000tc__fun_Itc__prod_Itc__List__Olist_Itc__Type__Oty_J_Mtc__prod_Itc_,axiom,
    ! [B_1_1,B_2_1] : is_bool(hAPP_f1746574980l_bool(B_1_1,B_2_1)),
    file('theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__prod_Itc__List__Olist_Itc__Type__Oty_J_Mtc__prod_Itc_) ).

fof(gsy_c_hAPP_000tc__fun_Itc__prod_Itc__List__Olist_Itc__Value__Oval_J_Mtc__Expr__O,axiom,
    ! [B_1_1,B_2_1] : is_bool(hAPP_f1314764175l_bool(B_1_1,B_2_1)),
    file('theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__prod_Itc__List__Olist_Itc__Value__Oval_J_Mtc__Expr__O) ).

fof(gsy_c_hAPP_000tc__fun_Itc__prod_Itc__List__Olist_Itc__Value__Oval_J_Mtc__List__O,axiom,
    ! [B_1_1,B_2_1] : is_bool(hAPP_f348753975l_bool(B_1_1,B_2_1)),
    file('theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__prod_Itc__List__Olist_Itc__Value__Oval_J_Mtc__List__O) ).

fof(gsy_c_hAPP_000tc__fun_Itc__prod_Itc__List__Olist_Itc__prod_Itc__List__Olist_Itc_,axiom,
    ! [B_1_1,B_2_1] : is_bool(hAPP_f288221747l_bool(B_1_1,B_2_1)),
    file('theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__prod_Itc__List__Olist_Itc__prod_Itc__List__Olist_Itc_) ).

fof(gsy_c_hAPP_000tc__fun_Itc__prod_Itc__List__Olist_Itc__prod_Itc__List__Olist_Itc__014,axiom,
    ! [B_1_1,B_2_1] : is_bool(hAPP_f1161798306l_bool(B_1_1,B_2_1)),
    file('theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__prod_Itc__List__Olist_Itc__prod_Itc__List__Olist_Itc__014) ).

fof(gsy_c_hAPP_000tc__fun_Itc__prod_Itc__List__Olist_Itc__prod_Itc__List__Olist_Itc__015,axiom,
    ! [B_1_1,B_2_1] : is_bool(hAPP_f1748390065l_bool(B_1_1,B_2_1)),
    file('theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__prod_Itc__List__Olist_Itc__prod_Itc__List__Olist_Itc__015) ).

fof(gsy_c_hAPP_000tc__fun_Itc__prod_Itc__Value__Oval_Mtc__Value__Oval_J_Mtc__HOL__Ob,axiom,
    ! [B_1_1,B_2_1] : is_bool(hAPP_f2028441009l_bool(B_1_1,B_2_1)),
    file('theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__prod_Itc__Value__Oval_Mtc__Value__Oval_J_Mtc__HOL__Ob) ).

fof(gsy_c_hAPP_000tc__fun_Itc__prod_Itc__fun_Itc__List__Olist_Itc__String__Ochar_J_M,axiom,
    ! [B_1_1,B_2_1] : is_bool(hAPP_f1661305905l_bool(B_1_1,B_2_1)),
    file('theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__prod_Itc__fun_Itc__List__Olist_Itc__String__Ochar_J_M) ).

fof(gsy_c_hAPP_000tc__fun_Itc__prod_Itc__fun_Itc__Nat__Onat_Mtc__Option__Ooption_Itc,axiom,
    ! [B_1_1,B_2_1] : is_bool(hAPP_f966411375l_bool(B_1_1,B_2_1)),
    file('theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__prod_Itc__fun_Itc__Nat__Onat_Mtc__Option__Ooption_Itc) ).

fof(gsy_c_hAPP_000tc__fun_Itc__prod_Itc__fun_Itc__Nat__Onat_Mtc__Option__Ooption_Itc_016,axiom,
    ! [B_1_1,B_2_1] : is_bool(hAPP_f1754555101l_bool(B_1_1,B_2_1)),
    file('theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__prod_Itc__fun_Itc__Nat__Onat_Mtc__Option__Ooption_Itc_016) ).

fof(gsy_c_hAPP_000tc__fun_Itc__prod_Itc__fun_Itc__prod_Itc__List__Olist_Itc__String_,axiom,
    ! [B_1_1,B_2_1] : is_bool(hAPP_f983152497l_bool(B_1_1,B_2_1)),
    file('theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__prod_Itc__fun_Itc__prod_Itc__List__Olist_Itc__String_) ).

fof(gsy_c_hAPP_000tc__fun_Itc__prod_Itc__prod_Itc__Expr__Obop_Mtc__prod_Itc__Value__,axiom,
    ! [B_1_1,B_2_1] : is_bool(hAPP_f126136681l_bool(B_1_1,B_2_1)),
    file('theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__prod_Itc__prod_Itc__Expr__Obop_Mtc__prod_Itc__Value__) ).

fof(gsy_c_hAPP_000tc__fun_Itc__prod_Itc__prod_Itc__Expr__Oexp_Itc__List__Olist_Itc__,hypothesis,
    ! [B_1_1,B_2_1] : is_bool(hAPP_f1453283057l_bool(B_1_1,B_2_1)),
    file('theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__prod_Itc__prod_Itc__Expr__Oexp_Itc__List__Olist_Itc__) ).

fof(gsy_c_hAPP_000tc__fun_Itc__prod_Itc__prod_Itc__List__Olist_Itc__Expr__Oexp_Itc__,axiom,
    ! [B_1_1,B_2_1] : is_bool(hAPP_f458849545l_bool(B_1_1,B_2_1)),
    file('theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__prod_Itc__prod_Itc__List__Olist_Itc__Expr__Oexp_Itc__) ).

fof(gsy_c_hAPP_000tc__fun_Itc__prod_Itc__prod_Itc__List__Olist_Itc__List__Olist_Itc_,axiom,
    ! [B_1_1,B_2_1] : is_bool(hAPP_f595031537l_bool(B_1_1,B_2_1)),
    file('theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__prod_Itc__prod_Itc__List__Olist_Itc__List__Olist_Itc_) ).

fof(gsy_c_hAPP_000tc__fun_Itc__prod_Itc__prod_Itc__List__Olist_Itc__List__Olist_Itc__017,axiom,
    ! [B_1_1,B_2_1] : is_bool(hAPP_f528956081l_bool(B_1_1,B_2_1)),
    file('theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__prod_Itc__prod_Itc__List__Olist_Itc__List__Olist_Itc__017) ).

fof(gsy_c_hAPP_000tc__fun_Itc__prod_Itc__prod_Itc__List__Olist_Itc__String__Ochar_J_,axiom,
    ! [B_1_1,B_2_1] : is_bool(hAPP_f851858423l_bool(B_1_1,B_2_1)),
    file('theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__prod_Itc__prod_Itc__List__Olist_Itc__String__Ochar_J_) ).

fof(gsy_c_hAPP_000tc__fun_Itc__prod_Itc__prod_Itc__List__Olist_Itc__String__Ochar_J__018,axiom,
    ! [B_1_1,B_2_1] : is_bool(hAPP_f665343921l_bool(B_1_1,B_2_1)),
    file('theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__prod_Itc__prod_Itc__List__Olist_Itc__String__Ochar_J__018) ).

fof(gsy_c_hAPP_000tc__fun_Itc__prod_Itc__prod_Itc__List__Olist_Itc__String__Ochar_J__019,axiom,
    ! [B_1_1,B_2_1] : is_bool(hAPP_f538118321l_bool(B_1_1,B_2_1)),
    file('theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__prod_Itc__prod_Itc__List__Olist_Itc__String__Ochar_J__019) ).

fof(gsy_c_hAPP_000tc__fun_Itc__prod_Itc__prod_Itc__List__Olist_Itc__String__Ochar_J__020,axiom,
    ! [B_1_1,B_2_1] : is_bool(hAPP_f272179441l_bool(B_1_1,B_2_1)),
    file('theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__prod_Itc__prod_Itc__List__Olist_Itc__String__Ochar_J__020) ).

fof(gsy_c_hAPP_000tc__fun_Itc__prod_Itc__prod_Itc__List__Olist_Itc__Type__Oty_J_Mtc_,axiom,
    ! [B_1_1,B_2_1] : is_bool(hAPP_f258424141l_bool(B_1_1,B_2_1)),
    file('theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__prod_Itc__prod_Itc__List__Olist_Itc__Type__Oty_J_Mtc_) ).

fof(gsy_c_hAPP_000tc__fun_Itc__prod_Itc__prod_Itc__List__Olist_Itc__Value__Oval_J_Mt,axiom,
    ! [B_1_1,B_2_1] : is_bool(hAPP_f1145574243l_bool(B_1_1,B_2_1)),
    file('theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__prod_Itc__prod_Itc__List__Olist_Itc__Value__Oval_J_Mt) ).

fof(gsy_c_hAPP_000tc__fun_Itc__prod_Itc__prod_Itc__List__Olist_Itc__prod_Itc__List__,axiom,
    ! [B_1_1,B_2_1] : is_bool(hAPP_f126445617l_bool(B_1_1,B_2_1)),
    file('theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__prod_Itc__prod_Itc__List__Olist_Itc__prod_Itc__List__) ).

fof(gsy_c_hAPP_000tc__fun_Itc__prod_Itc__prod_Itc__Value__Oval_Mtc__Value__Oval_J_Mt,axiom,
    ! [B_1_1,B_2_1] : is_bool(hAPP_f2129782055l_bool(B_1_1,B_2_1)),
    file('theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__prod_Itc__prod_Itc__Value__Oval_Mtc__Value__Oval_J_Mt) ).

fof(gsy_c_hAPP_000tc__fun_Itc__prod_Itc__prod_Itc__fun_Itc__Nat__Onat_Mtc__Option__O,axiom,
    ! [B_1_1,B_2_1] : is_bool(hAPP_f1297673713l_bool(B_1_1,B_2_1)),
    file('theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__prod_Itc__prod_Itc__fun_Itc__Nat__Onat_Mtc__Option__O) ).

fof(gsy_c_hAPP_000tc__fun_Itc__prod_Itc__prod_Itc__prod_Itc__Expr__Oexp_Itc__List__O,axiom,
    ! [B_1_1,B_2_1] : is_bool(hAPP_f1261741735l_bool(B_1_1,B_2_1)),
    file('theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__prod_Itc__prod_Itc__prod_Itc__Expr__Oexp_Itc__List__O) ).

fof(gsy_c_hAPP_000tc__fun_Itc__prod_Itc__prod_Itc__prod_Itc__List__Olist_Itc__Expr__,axiom,
    ! [B_1_1,B_2_1] : is_bool(hAPP_f1980787287l_bool(B_1_1,B_2_1)),
    file('theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__prod_Itc__prod_Itc__prod_Itc__List__Olist_Itc__Expr__) ).

fof(gsy_c_hAPP_000tc__prod_Itc__Expr__Obop_Mtc__Expr__Obop_J_000tc__HOL__Obool,axiom,
    ! [B_1_1,B_2_1] :
      ( is_fun1083000568p_bool(B_1_1)
     => is_bool(hAPP_P1085566419p_bool(B_1_1,B_2_1)) ),
    file('theBenchmark.p',gsy_c_hAPP_000tc__prod_Itc__Expr__Obop_Mtc__Expr__Obop_J_000tc__HOL__Obool) ).

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)),
    file('theBenchmark.p',gsy_c_hAPP_000tc__prod_Itc__Expr__Obop_Mtc__prod_Itc__Value__Oval_Mtc__Value__Ov) ).

fof(gsy_c_hAPP_000tc__prod_Itc__Expr__Oexp_Itc__List__Olist_Itc__String__Ochar_J_J_M,axiom,
    ! [B_1_1,B_2_1] : is_bool(hAPP_P1632759357r_bool(B_1_1,B_2_1)),
    file('theBenchmark.p',gsy_c_hAPP_000tc__prod_Itc__Expr__Oexp_Itc__List__Olist_Itc__String__Ochar_J_J_M) ).

fof(gsy_c_hAPP_000tc__prod_Itc__Expr__Oexp_Itc__List__Olist_Itc__String__Ochar_J_J_M_021,axiom,
    ! [B_1_1,B_2_1] : is_bool(hAPP_P1708370145l_bool(B_1_1,B_2_1)),
    file('theBenchmark.p',gsy_c_hAPP_000tc__prod_Itc__Expr__Oexp_Itc__List__Olist_Itc__String__Ochar_J_J_M_021) ).

fof(gsy_c_hAPP_000tc__prod_Itc__List__Olist_Itc__Expr__Oexp_Itc__List__Olist_Itc__St,axiom,
    ! [B_1_1,B_2_1] : is_bool(hAPP_P499022727r_bool(B_1_1,B_2_1)),
    file('theBenchmark.p',gsy_c_hAPP_000tc__prod_Itc__List__Olist_Itc__Expr__Oexp_Itc__List__Olist_Itc__St) ).

fof(gsy_c_hAPP_000tc__prod_Itc__List__Olist_Itc__Expr__Oexp_Itc__List__Olist_Itc__St_022,axiom,
    ! [B_1_1,B_2_1] : is_bool(hAPP_P71593144l_bool(B_1_1,B_2_1)),
    file('theBenchmark.p',gsy_c_hAPP_000tc__prod_Itc__List__Olist_Itc__Expr__Oexp_Itc__List__Olist_Itc__St_022) ).

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)),
    file('theBenchmark.p',gsy_c_hAPP_000tc__prod_Itc__List__Olist_Itc__List__Olist_Itc__String__Ochar_J_J_) ).

fof(gsy_c_hAPP_000tc__prod_Itc__List__Olist_Itc__List__Olist_Itc__String__Ochar_J_J__023,axiom,
    ! [B_1_1,B_2_1] : is_bool(hAPP_P476431815r_bool(B_1_1,B_2_1)),
    file('theBenchmark.p',gsy_c_hAPP_000tc__prod_Itc__List__Olist_Itc__List__Olist_Itc__String__Ochar_J_J__023) ).

fof(gsy_c_hAPP_000tc__prod_Itc__List__Olist_Itc__List__Olist_Itc__String__Ochar_J_J__024,axiom,
    ! [B_1_1,B_2_1] : is_bool(hAPP_P92196306r_bool(B_1_1,B_2_1)),
    file('theBenchmark.p',gsy_c_hAPP_000tc__prod_Itc__List__Olist_Itc__List__Olist_Itc__String__Ochar_J_J__024) ).

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)),
    file('theBenchmark.p',gsy_c_hAPP_000tc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__List__Olist_It) ).

fof(gsy_c_hAPP_000tc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__Type__Oty_J_00,axiom,
    ! [B_1_1,B_2_1] : is_bool(hAPP_P748443392y_bool(B_1_1,B_2_1)),
    file('theBenchmark.p',gsy_c_hAPP_000tc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__Type__Oty_J_00) ).

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)),
    file('theBenchmark.p',gsy_c_hAPP_000tc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__fun_Itc__prod_) ).

fof(gsy_c_hAPP_000tc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__prod_Itc__List,axiom,
    ! [B_1_1,B_2_1] : is_bool(hAPP_P1680401186r_bool(B_1_1,B_2_1)),
    file('theBenchmark.p',gsy_c_hAPP_000tc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__prod_Itc__List) ).

fof(gsy_c_hAPP_000tc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__prod_Itc__List_025,axiom,
    ! [B_1_1,B_2_1] : is_bool(hAPP_P1384137393r_bool(B_1_1,B_2_1)),
    file('theBenchmark.p',gsy_c_hAPP_000tc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__prod_Itc__List_025) ).

fof(gsy_c_hAPP_000tc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__prod_Itc__List_026,axiom,
    ! [B_1_1,B_2_1] : is_bool(hAPP_P659547099r_bool(B_1_1,B_2_1)),
    file('theBenchmark.p',gsy_c_hAPP_000tc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__prod_Itc__List_026) ).

fof(gsy_c_hAPP_000tc__prod_Itc__List__Olist_Itc__Type__Oty_J_Mtc__List__Olist_Itc__T,axiom,
    ! [B_1_1,B_2_1] : is_bool(hAPP_P1574824955y_bool(B_1_1,B_2_1)),
    file('theBenchmark.p',gsy_c_hAPP_000tc__prod_Itc__List__Olist_Itc__Type__Oty_J_Mtc__List__Olist_Itc__T) ).

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)),
    file('theBenchmark.p',gsy_c_hAPP_000tc__prod_Itc__List__Olist_Itc__Type__Oty_J_Mtc__prod_Itc__List__Ol) ).

fof(gsy_c_hAPP_000tc__prod_Itc__List__Olist_Itc__Type__Oty_J_Mtc__prod_Itc__Type__Ot,axiom,
    ! [B_1_1,B_2_1] : is_bool(hAPP_P1187139874r_bool(B_1_1,B_2_1)),
    file('theBenchmark.p',gsy_c_hAPP_000tc__prod_Itc__List__Olist_Itc__Type__Oty_J_Mtc__prod_Itc__Type__Ot) ).

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)),
    file('theBenchmark.p',gsy_c_hAPP_000tc__prod_Itc__List__Olist_Itc__Value__Oval_J_Mtc__Expr__Oexp_Itc__) ).

fof(gsy_c_hAPP_000tc__prod_Itc__List__Olist_Itc__Value__Oval_J_Mtc__List__Olist_Itc_,axiom,
    ! [B_1_1,B_2_1] : is_bool(hAPP_P2115985549l_bool(B_1_1,B_2_1)),
    file('theBenchmark.p',gsy_c_hAPP_000tc__prod_Itc__List__Olist_Itc__Value__Oval_J_Mtc__List__Olist_Itc_) ).

fof(gsy_c_hAPP_000tc__prod_Itc__List__Olist_Itc__prod_Itc__List__Olist_Itc__String__,axiom,
    ! [B_1_1,B_2_1] : is_bool(hAPP_P2053453961y_bool(B_1_1,B_2_1)),
    file('theBenchmark.p',gsy_c_hAPP_000tc__prod_Itc__List__Olist_Itc__prod_Itc__List__Olist_Itc__String__) ).

fof(gsy_c_hAPP_000tc__prod_Itc__List__Olist_Itc__prod_Itc__List__Olist_Itc__String___027,axiom,
    ! [B_1_1,B_2_1] : is_bool(hAPP_P828904212r_bool(B_1_1,B_2_1)),
    file('theBenchmark.p',gsy_c_hAPP_000tc__prod_Itc__List__Olist_Itc__prod_Itc__List__Olist_Itc__String___027) ).

fof(gsy_c_hAPP_000tc__prod_Itc__List__Olist_Itc__prod_Itc__List__Olist_Itc__String___028,axiom,
    ! [B_1_1,B_2_1] : is_bool(hAPP_P1926698759r_bool(B_1_1,B_2_1)),
    file('theBenchmark.p',gsy_c_hAPP_000tc__prod_Itc__List__Olist_Itc__prod_Itc__List__Olist_Itc__String___028) ).

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)),
    file('theBenchmark.p',gsy_c_hAPP_000tc__prod_Itc__Value__Oval_Mtc__Value__Oval_J_000tc__HOL__Obool) ).

fof(gsy_c_hAPP_000tc__prod_Itc__fun_Itc__List__Olist_Itc__String__Ochar_J_Mtc__Optio,axiom,
    ! [B_1_1,B_2_1] : is_bool(hAPP_P468446343l_bool(B_1_1,B_2_1)),
    file('theBenchmark.p',gsy_c_hAPP_000tc__prod_Itc__fun_Itc__List__Olist_Itc__String__Ochar_J_Mtc__Optio) ).

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)),
    file('theBenchmark.p',gsy_c_hAPP_000tc__prod_Itc__fun_Itc__Nat__Onat_Mtc__Option__Ooption_Itc__prod_It) ).

fof(gsy_c_hAPP_000tc__prod_Itc__fun_Itc__Nat__Onat_Mtc__Option__Ooption_Itc__prod_It_029,axiom,
    ! [B_1_1,B_2_1] : is_bool(hAPP_P2077557811l_bool(B_1_1,B_2_1)),
    file('theBenchmark.p',gsy_c_hAPP_000tc__prod_Itc__fun_Itc__Nat__Onat_Mtc__Option__Ooption_Itc__prod_It_029) ).

fof(gsy_c_hAPP_000tc__prod_Itc__fun_Itc__prod_Itc__List__Olist_Itc__String__Ochar_J_,axiom,
    ! [B_1_1,B_2_1] : is_bool(hAPP_P504978887l_bool(B_1_1,B_2_1)),
    file('theBenchmark.p',gsy_c_hAPP_000tc__prod_Itc__fun_Itc__prod_Itc__List__Olist_Itc__String__Ochar_J_) ).

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)),
    file('theBenchmark.p',gsy_c_hAPP_000tc__prod_Itc__prod_Itc__Expr__Obop_Mtc__prod_Itc__Value__Oval_Mtc_) ).

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)),
    file('theBenchmark.p',gsy_c_hAPP_000tc__prod_Itc__prod_Itc__Expr__Oexp_Itc__List__Olist_Itc__String__O) ).

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)),
    file('theBenchmark.p',gsy_c_hAPP_000tc__prod_Itc__prod_Itc__List__Olist_Itc__Expr__Oexp_Itc__List__Oli) ).

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)),
    file('theBenchmark.p',gsy_c_hAPP_000tc__prod_Itc__prod_Itc__List__Olist_Itc__List__Olist_Itc__String__) ).

fof(gsy_c_hAPP_000tc__prod_Itc__prod_Itc__List__Olist_Itc__List__Olist_Itc__String___030,axiom,
    ! [B_1_1,B_2_1] : is_bool(hAPP_P824029447r_bool(B_1_1,B_2_1)),
    file('theBenchmark.p',gsy_c_hAPP_000tc__prod_Itc__prod_Itc__List__Olist_Itc__List__Olist_Itc__String___030) ).

fof(gsy_c_hAPP_000tc__prod_Itc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__List,axiom,
    ! [B_1_1,B_2_1] : is_bool(hAPP_P27757617y_bool(B_1_1,B_2_1)),
    file('theBenchmark.p',gsy_c_hAPP_000tc__prod_Itc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__List) ).

fof(gsy_c_hAPP_000tc__prod_Itc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__List_031,axiom,
    ! [B_1_1,B_2_1] : is_bool(hAPP_P2010574925r_bool(B_1_1,B_2_1)),
    file('theBenchmark.p',gsy_c_hAPP_000tc__prod_Itc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__List_031) ).

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)),
    file('theBenchmark.p',gsy_c_hAPP_000tc__prod_Itc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__fun_) ).

fof(gsy_c_hAPP_000tc__prod_Itc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__prod,axiom,
    ! [B_1_1,B_2_1] : is_bool(hAPP_P975284999r_bool(B_1_1,B_2_1)),
    file('theBenchmark.p',gsy_c_hAPP_000tc__prod_Itc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__prod) ).

fof(gsy_c_hAPP_000tc__prod_Itc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__prod_032,axiom,
    ! [B_1_1,B_2_1] : is_bool(hAPP_P929449287r_bool(B_1_1,B_2_1)),
    file('theBenchmark.p',gsy_c_hAPP_000tc__prod_Itc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__prod_032) ).

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)),
    file('theBenchmark.p',gsy_c_hAPP_000tc__prod_Itc__prod_Itc__List__Olist_Itc__Type__Oty_J_Mtc__prod_Itc) ).

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)),
    file('theBenchmark.p',gsy_c_hAPP_000tc__prod_Itc__prod_Itc__List__Olist_Itc__Value__Oval_J_Mtc__Expr__) ).

fof(gsy_c_hAPP_000tc__prod_Itc__prod_Itc__List__Olist_Itc__prod_Itc__List__Olist_Itc,axiom,
    ! [B_1_1,B_2_1] : is_bool(hAPP_P801803911r_bool(B_1_1,B_2_1)),
    file('theBenchmark.p',gsy_c_hAPP_000tc__prod_Itc__prod_Itc__List__Olist_Itc__prod_Itc__List__Olist_Itc) ).

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)),
    file('theBenchmark.p',gsy_c_hAPP_000tc__prod_Itc__prod_Itc__Value__Oval_Mtc__Value__Oval_J_Mtc__prod_I) ).

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)),
    file('theBenchmark.p',gsy_c_hAPP_000tc__prod_Itc__prod_Itc__fun_Itc__Nat__Onat_Mtc__Option__Ooption_It) ).

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)),
    file('theBenchmark.p',gsy_c_hAPP_000tc__prod_Itc__prod_Itc__prod_Itc__Expr__Oexp_Itc__List__Olist_Itc_) ).

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)),
    file('theBenchmark.p',gsy_c_hAPP_000tc__prod_Itc__prod_Itc__prod_Itc__List__Olist_Itc__Expr__Oexp_Itc_) ).

fof(fact_0_InitBlockRed_I3_J,axiom,
    hAPP_l207779698on_val(l_a,v_1) = hAPP_val_option_val(some_val,v_2),
    file('theBenchmark.p',fact_0_InitBlockRed_I3_J) ).

fof(fact_1_InitBlockRed_I1_J,axiom,
    hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,ea),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,ha),fun_up1149430426on_val(la,v_1,hAPP_val_option_val(some_val,v))))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,e_a),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,h_a),l_a)))),red(p))),
    file('theBenchmark.p',fact_1_InitBlockRed_I1_J) ).

fof(fact_2_fun__upd__triv,axiom,
    ! [F_1,X_2] : fun_up1149430426on_val(F_1,X_2,hAPP_l207779698on_val(F_1,X_2)) = F_1,
    file('theBenchmark.p',fact_2_fun__upd__triv) ).

fof(fact_3_fun__upd__triv,axiom,
    ! [F_1,X_2] : fun_up424764369ion_ty(F_1,X_2,hAPP_l512744617ion_ty(F_1,X_2)) = F_1,
    file('theBenchmark.p',fact_3_fun__upd__triv) ).

fof(fact_4_fun__upd__triv,axiom,
    ! [F_1,X_2] : fun_up2041264236on_val(F_1,X_2,hAPP_n546249108on_val(F_1,X_2)) = F_1,
    file('theBenchmark.p',fact_4_fun__upd__triv) ).

fof(fact_5_fun__upd__triv,axiom,
    ! [F_1,X_2] : fun_up204312361on_val(F_1,X_2,hAPP_P2094403585on_val(F_1,X_2)) = F_1,
    file('theBenchmark.p',fact_5_fun__upd__triv) ).

fof(fact_6_assms,axiom,
    hBOOL(wf_pro755087577t_char(wf_J_mdecl,p)),
    file('theBenchmark.p',fact_6_assms) ).

fof(fact_7_map__upd__Some__unfold,axiom,
    ! [M_1,A,B,X_2,Y_2] :
      ( hAPP_l207779698on_val(fun_up1149430426on_val(M_1,A,hAPP_val_option_val(some_val,B)),X_2) = hAPP_val_option_val(some_val,Y_2)
    <=> ( ( hAPP_l207779698on_val(M_1,X_2) = hAPP_val_option_val(some_val,Y_2)
          & X_2 != A )
        | ( B = Y_2
          & X_2 = A ) ) ),
    file('theBenchmark.p',fact_7_map__upd__Some__unfold) ).

fof(fact_8_map__upd__Some__unfold,axiom,
    ! [M_1,A,B,X_2,Y_2] :
      ( hAPP_l512744617ion_ty(fun_up424764369ion_ty(M_1,A,hAPP_ty_option_ty(some_ty,B)),X_2) = hAPP_ty_option_ty(some_ty,Y_2)
    <=> ( ( hAPP_l512744617ion_ty(M_1,X_2) = hAPP_ty_option_ty(some_ty,Y_2)
          & X_2 != A )
        | ( B = Y_2
          & X_2 = A ) ) ),
    file('theBenchmark.p',fact_8_map__upd__Some__unfold) ).

fof(fact_9_map__upd__Some__unfold,axiom,
    ! [M_1,A,B,X_2,Y_2] :
      ( hAPP_n546249108on_val(fun_up2041264236on_val(M_1,A,hAPP_P1510515380on_val(some_P948696889on_val,B)),X_2) = hAPP_P1510515380on_val(some_P948696889on_val,Y_2)
    <=> ( ( hAPP_n546249108on_val(M_1,X_2) = hAPP_P1510515380on_val(some_P948696889on_val,Y_2)
          & X_2 != A )
        | ( B = Y_2
          & X_2 = A ) ) ),
    file('theBenchmark.p',fact_9_map__upd__Some__unfold) ).

fof(fact_10_map__upd__Some__unfold,axiom,
    ! [M_1,A,B,X_2,Y_2] :
      ( hAPP_P2094403585on_val(fun_up204312361on_val(M_1,A,hAPP_val_option_val(some_val,B)),X_2) = hAPP_val_option_val(some_val,Y_2)
    <=> ( ( hAPP_P2094403585on_val(M_1,X_2) = hAPP_val_option_val(some_val,Y_2)
          & X_2 != A )
        | ( B = Y_2
          & X_2 = A ) ) ),
    file('theBenchmark.p',fact_10_map__upd__Some__unfold) ).

fof(fact_11_map__upd__triv,axiom,
    ! [T_2,K,X_2] :
      ( hAPP_l207779698on_val(T_2,K) = hAPP_val_option_val(some_val,X_2)
     => fun_up1149430426on_val(T_2,K,hAPP_val_option_val(some_val,X_2)) = T_2 ),
    file('theBenchmark.p',fact_11_map__upd__triv) ).

fof(fact_12_map__upd__triv,axiom,
    ! [T_2,K,X_2] :
      ( hAPP_l512744617ion_ty(T_2,K) = hAPP_ty_option_ty(some_ty,X_2)
     => fun_up424764369ion_ty(T_2,K,hAPP_ty_option_ty(some_ty,X_2)) = T_2 ),
    file('theBenchmark.p',fact_12_map__upd__triv) ).

fof(fact_13_map__upd__triv,axiom,
    ! [T_2,K,X_2] :
      ( hAPP_n546249108on_val(T_2,K) = hAPP_P1510515380on_val(some_P948696889on_val,X_2)
     => fun_up2041264236on_val(T_2,K,hAPP_P1510515380on_val(some_P948696889on_val,X_2)) = T_2 ),
    file('theBenchmark.p',fact_13_map__upd__triv) ).

fof(fact_14_map__upd__triv,axiom,
    ! [T_2,K,X_2] :
      ( hAPP_P2094403585on_val(T_2,K) = hAPP_val_option_val(some_val,X_2)
     => fun_up204312361on_val(T_2,K,hAPP_val_option_val(some_val,X_2)) = T_2 ),
    file('theBenchmark.p',fact_14_map__upd__triv) ).

fof(fact_15_map__upd__eqD1,axiom,
    ! [M_1,A,X_2,N,Y_2] :
      ( fun_up1149430426on_val(M_1,A,hAPP_val_option_val(some_val,X_2)) = fun_up1149430426on_val(N,A,hAPP_val_option_val(some_val,Y_2))
     => X_2 = Y_2 ),
    file('theBenchmark.p',fact_15_map__upd__eqD1) ).

fof(fact_16_map__upd__eqD1,axiom,
    ! [M_1,A,X_2,N,Y_2] :
      ( fun_up424764369ion_ty(M_1,A,hAPP_ty_option_ty(some_ty,X_2)) = fun_up424764369ion_ty(N,A,hAPP_ty_option_ty(some_ty,Y_2))
     => X_2 = Y_2 ),
    file('theBenchmark.p',fact_16_map__upd__eqD1) ).

fof(fact_17_map__upd__eqD1,axiom,
    ! [M_1,A,X_2,N,Y_2] :
      ( fun_up2041264236on_val(M_1,A,hAPP_P1510515380on_val(some_P948696889on_val,X_2)) = fun_up2041264236on_val(N,A,hAPP_P1510515380on_val(some_P948696889on_val,Y_2))
     => X_2 = Y_2 ),
    file('theBenchmark.p',fact_17_map__upd__eqD1) ).

fof(fact_18_map__upd__eqD1,axiom,
    ! [M_1,A,X_2,N,Y_2] :
      ( fun_up204312361on_val(M_1,A,hAPP_val_option_val(some_val,X_2)) = fun_up204312361on_val(N,A,hAPP_val_option_val(some_val,Y_2))
     => X_2 = Y_2 ),
    file('theBenchmark.p',fact_18_map__upd__eqD1) ).

fof(fact_19_InitBlockRed_I2_J,axiom,
    ! [Ta,Ea] :
      ( hBOOL(hAPP_P159683425l_bool(typeSa1700205512_sconf(p,Ea),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,ha),fun_up1149430426on_val(la,v_1,hAPP_val_option_val(some_val,v)))))
     => ( hBOOL(wTrt_1(p,ha,Ea,ea,Ta))
       => ? [T_5] :
            ( hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(p),T_5),Ta))
            & hBOOL(wTrt_1(p,h_a,Ea,e_a,T_5)) ) ) ),
    file('theBenchmark.p',fact_19_InitBlockRed_I2_J) ).

fof(fact_20_prod__induct5,axiom,
    ! [X_2,Pa] :
      ( ! [A_1,B_2,C_4,D_2,E_4] : hBOOL(hAPP_P2028072621l_bool(Pa,hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,A_1),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,B_2),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,C_4),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,D_2),E_4))))))
     => hBOOL(hAPP_P2028072621l_bool(Pa,X_2)) ),
    file('theBenchmark.p',fact_20_prod__induct5) ).

fof(fact_21_prod__induct5,axiom,
    ! [X_2,Pa] :
      ( ! [A_1,B_2,C_4,D_2,E_4] : hBOOL(hAPP_P378063101l_bool(Pa,hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,A_1),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,B_2),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,C_4),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,D_2),E_4))))))
     => hBOOL(hAPP_P378063101l_bool(Pa,X_2)) ),
    file('theBenchmark.p',fact_21_prod__induct5) ).

fof(fact_22_prod__induct5,axiom,
    ! [X_2,Pa] :
      ( ! [A_1,B_2,C_4,D_2,E_4] : hBOOL(hAPP_P824029447r_bool(Pa,hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,A_1),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,B_2),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,C_4),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,D_2),E_4))))))
     => hBOOL(hAPP_P824029447r_bool(Pa,X_2)) ),
    file('theBenchmark.p',fact_22_prod__induct5) ).

fof(fact_23_prod__induct5,axiom,
    ! [X_2,Pa] :
      ( ! [A_1,B_2,C_4,D_2,E_4] : hBOOL(hAPP_P975284999r_bool(Pa,hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,A_1),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,B_2),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,C_4),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,D_2),E_4))))))
     => hBOOL(hAPP_P975284999r_bool(Pa,X_2)) ),
    file('theBenchmark.p',fact_23_prod__induct5) ).

fof(fact_24_prod__induct5,axiom,
    ! [X_2,Pa] :
      ( ! [A_1,B_2,C_4,D_2,E_4] : hBOOL(hAPP_P1384137393r_bool(Pa,hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,A_1),hAPP_P976433298t_char(hAPP_l2048923787t_char(produc2016959032t_char,B_2),hAPP_P1661798543t_char(hAPP_t1369077401t_char(produc1545444669t_char,C_4),hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,D_2),E_4))))))
     => hBOOL(hAPP_P1384137393r_bool(Pa,X_2)) ),
    file('theBenchmark.p',fact_24_prod__induct5) ).

fof(fact_25_prod__cases5,axiom,
    ! [Y_2] :
      ~ ! [A_1,B_2,C_4,D_2,E_4] : Y_2 != hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,A_1),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,B_2),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,C_4),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,D_2),E_4)))),
    file('theBenchmark.p',fact_25_prod__cases5) ).

fof(fact_26_prod__cases5,axiom,
    ! [Y_2] :
      ~ ! [A_1,B_2,C_4,D_2,E_4] : Y_2 != hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,A_1),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,B_2),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,C_4),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,D_2),E_4)))),
    file('theBenchmark.p',fact_26_prod__cases5) ).

fof(fact_27_prod__cases5,axiom,
    ! [Y_7] :
      ~ ! [A_1,B_2,C_4,D_2,E_4] : Y_7 != hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,A_1),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,B_2),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,C_4),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,D_2),E_4)))),
    file('theBenchmark.p',fact_27_prod__cases5) ).

fof(fact_28_prod__cases5,axiom,
    ! [Y_7] :
      ~ ! [A_1,B_2,C_4,D_2,E_4] : Y_7 != hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,A_1),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,B_2),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,C_4),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,D_2),E_4)))),
    file('theBenchmark.p',fact_28_prod__cases5) ).

fof(fact_29_prod__cases5,axiom,
    ! [Y_7] :
      ~ ! [A_1,B_2,C_4,D_2,E_4] : Y_7 != hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,A_1),hAPP_P976433298t_char(hAPP_l2048923787t_char(produc2016959032t_char,B_2),hAPP_P1661798543t_char(hAPP_t1369077401t_char(produc1545444669t_char,C_4),hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,D_2),E_4)))),
    file('theBenchmark.p',fact_29_prod__cases5) ).

fof(fact_30_prod__induct4,axiom,
    ! [X_2,Pa] :
      ( ! [A_1,B_2,C_4,D_2] : hBOOL(hAPP_P1384137393r_bool(Pa,hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,A_1),hAPP_P976433298t_char(hAPP_l2048923787t_char(produc2016959032t_char,B_2),hAPP_P1661798543t_char(hAPP_t1369077401t_char(produc1545444669t_char,C_4),D_2)))))
     => hBOOL(hAPP_P1384137393r_bool(Pa,X_2)) ),
    file('theBenchmark.p',fact_30_prod__induct4) ).

fof(fact_31_prod__induct4,axiom,
    ! [X_2,Pa] :
      ( ! [A_1,B_2,C_4,D_2] : hBOOL(hAPP_P282169671l_bool(Pa,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_1),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,B_2),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,C_4),D_2)))))
     => hBOOL(hAPP_P282169671l_bool(Pa,X_2)) ),
    file('theBenchmark.p',fact_31_prod__induct4) ).

fof(fact_32_prod__induct4,axiom,
    ! [X_2,Pa] :
      ( ! [A_1,B_2,C_4,D_2] : hBOOL(hAPP_P1333315679l_bool(Pa,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A_1),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,B_2),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,C_4),D_2)))))
     => hBOOL(hAPP_P1333315679l_bool(Pa,X_2)) ),
    file('theBenchmark.p',fact_32_prod__induct4) ).

fof(fact_33_prod__induct4,axiom,
    ! [X_2,Pa] :
      ( ! [A_1,B_2,C_4,D_2] : hBOOL(hAPP_P92196306r_bool(Pa,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,A_1),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,B_2),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,C_4),D_2)))))
     => hBOOL(hAPP_P92196306r_bool(Pa,X_2)) ),
    file('theBenchmark.p',fact_33_prod__induct4) ).

fof(fact_34_prod__induct4,axiom,
    ! [X_2,Pa] :
      ( ! [A_1,B_2,C_4,D_2] : hBOOL(hAPP_P1680401186r_bool(Pa,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,A_1),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,B_2),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,C_4),D_2)))))
     => hBOOL(hAPP_P1680401186r_bool(Pa,X_2)) ),
    file('theBenchmark.p',fact_34_prod__induct4) ).

fof(fact_35_prod__induct4,axiom,
    ! [X_2,Pa] :
      ( ! [A_1,B_2,C_4,D_2] : hBOOL(hAPP_P378063101l_bool(Pa,hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,A_1),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,B_2),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,C_4),D_2)))))
     => hBOOL(hAPP_P378063101l_bool(Pa,X_2)) ),
    file('theBenchmark.p',fact_35_prod__induct4) ).

fof(fact_36_prod__induct4,axiom,
    ! [X_2,Pa] :
      ( ! [A_1,B_2,C_4,D_2] :
          ( is_bop(B_2)
         => hBOOL(hAPP_P738987199l_bool(Pa,hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,A_1),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,B_2),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,C_4),D_2))))) )
     => hBOOL(hAPP_P738987199l_bool(Pa,X_2)) ),
    file('theBenchmark.p',fact_36_prod__induct4) ).

fof(fact_37_prod__induct4,axiom,
    ! [X_2,Pa] :
      ( ! [A_1,B_2,C_4,D_2] : hBOOL(hAPP_P2028072621l_bool(Pa,hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,A_1),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,B_2),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,C_4),D_2)))))
     => hBOOL(hAPP_P2028072621l_bool(Pa,X_2)) ),
    file('theBenchmark.p',fact_37_prod__induct4) ).

fof(fact_38_prod__induct4,axiom,
    ! [X_2,Pa] :
      ( ! [A_1,B_2,C_4,D_2] : hBOOL(hAPP_P824029447r_bool(Pa,hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,A_1),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,B_2),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,C_4),D_2)))))
     => hBOOL(hAPP_P824029447r_bool(Pa,X_2)) ),
    file('theBenchmark.p',fact_38_prod__induct4) ).

fof(fact_39_prod__induct4,axiom,
    ! [X_2,Pa] :
      ( ! [A_1,B_2,C_4,D_2] : hBOOL(hAPP_P1240100515r_bool(Pa,hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,A_1),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,B_2),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,C_4),D_2)))))
     => hBOOL(hAPP_P1240100515r_bool(Pa,X_2)) ),
    file('theBenchmark.p',fact_39_prod__induct4) ).

fof(fact_40_prod__induct4,axiom,
    ! [X_2,Pa] :
      ( ! [A_1,B_2,C_4,D_2] : hBOOL(hAPP_P975284999r_bool(Pa,hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,A_1),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,B_2),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,C_4),D_2)))))
     => hBOOL(hAPP_P975284999r_bool(Pa,X_2)) ),
    file('theBenchmark.p',fact_40_prod__induct4) ).

fof(fact_41_prod__induct4,axiom,
    ! [X_2,Pa] :
      ( ! [A_1,B_2,C_4,D_2] : hBOOL(hAPP_P929449287r_bool(Pa,hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,A_1),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,B_2),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,C_4),D_2)))))
     => hBOOL(hAPP_P929449287r_bool(Pa,X_2)) ),
    file('theBenchmark.p',fact_41_prod__induct4) ).

fof(fact_42_prod__cases4,axiom,
    ! [Y_6] :
      ~ ! [A_1,B_2,C_4,D_2] : Y_6 != hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,A_1),hAPP_P976433298t_char(hAPP_l2048923787t_char(produc2016959032t_char,B_2),hAPP_P1661798543t_char(hAPP_t1369077401t_char(produc1545444669t_char,C_4),D_2))),
    file('theBenchmark.p',fact_42_prod__cases4) ).

fof(fact_43_prod__cases4,axiom,
    ! [Y_2] :
      ~ ! [A_1,B_2,C_4,D_2] : Y_2 != hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_1),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,B_2),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,C_4),D_2))),
    file('theBenchmark.p',fact_43_prod__cases4) ).

fof(fact_44_prod__cases4,axiom,
    ! [Y_2] :
      ~ ! [A_1,B_2,C_4,D_2] : Y_2 != hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A_1),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,B_2),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,C_4),D_2))),
    file('theBenchmark.p',fact_44_prod__cases4) ).

fof(fact_45_prod__cases4,axiom,
    ! [Y_6] :
      ~ ! [A_1,B_2,C_4,D_2] : Y_6 != hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,A_1),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,B_2),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,C_4),D_2))),
    file('theBenchmark.p',fact_45_prod__cases4) ).

fof(fact_46_prod__cases4,axiom,
    ! [Y_6] :
      ~ ! [A_1,B_2,C_4,D_2] : Y_6 != hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,A_1),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,B_2),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,C_4),D_2))),
    file('theBenchmark.p',fact_46_prod__cases4) ).

fof(fact_47_prod__cases4,axiom,
    ! [Y_2] :
      ~ ! [A_1,B_2,C_4,D_2] : Y_2 != hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,A_1),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,B_2),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,C_4),D_2))),
    file('theBenchmark.p',fact_47_prod__cases4) ).

fof(fact_48_prod__cases4,axiom,
    ! [Y_6] :
      ~ ! [A_1,B_2,C_4,D_2] :
          ( is_bop(B_2)
         => Y_6 != hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,A_1),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,B_2),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,C_4),D_2))) ),
    file('theBenchmark.p',fact_48_prod__cases4) ).

fof(fact_49_prod__cases4,axiom,
    ! [Y_2] :
      ~ ! [A_1,B_2,C_4,D_2] : Y_2 != hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,A_1),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,B_2),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,C_4),D_2))),
    file('theBenchmark.p',fact_49_prod__cases4) ).

fof(fact_50_prod__cases4,axiom,
    ! [Y_6] :
      ~ ! [A_1,B_2,C_4,D_2] : Y_6 != hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,A_1),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,B_2),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,C_4),D_2))),
    file('theBenchmark.p',fact_50_prod__cases4) ).

fof(fact_51_prod__cases4,axiom,
    ! [Y_6] :
      ~ ! [A_1,B_2,C_4,D_2] : Y_6 != hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,A_1),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,B_2),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,C_4),D_2))),
    file('theBenchmark.p',fact_51_prod__cases4) ).

fof(fact_52_prod__cases4,axiom,
    ! [Y_6] :
      ~ ! [A_1,B_2,C_4,D_2] : Y_6 != hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,A_1),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,B_2),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,C_4),D_2))),
    file('theBenchmark.p',fact_52_prod__cases4) ).

fof(fact_53_prod__cases4,axiom,
    ! [Y_6] :
      ~ ! [A_1,B_2,C_4,D_2] : Y_6 != hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,A_1),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,B_2),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,C_4),D_2))),
    file('theBenchmark.p',fact_53_prod__cases4) ).

fof(fact_54_InitBlockRed_I4_J,axiom,
    hBOOL(hAPP_P159683425l_bool(typeSa1700205512_sconf(p,e),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,ha),la))),
    file('theBenchmark.p',fact_54_InitBlockRed_I4_J) ).

fof(fact_55_Pair__inject,axiom,
    ! [A_19,B_5,A_18,B_4] :
      ( hAPP_t1875766236har_ty(hAPP_l1948972481har_ty(produc251930284har_ty,A_19),B_5) = hAPP_t1875766236har_ty(hAPP_l1948972481har_ty(produc251930284har_ty,A_18),B_4)
     => ~ ( A_19 = A_18
         => B_5 != B_4 ) ),
    file('theBenchmark.p',fact_55_Pair__inject) ).

fof(fact_56_Pair__inject,axiom,
    ! [A_19,B_5,A_18,B_4] :
      ( hAPP_t708040077har_ty(hAPP_P827589667har_ty(produc1265154397har_ty,A_19),B_5) = hAPP_t708040077har_ty(hAPP_P827589667har_ty(produc1265154397har_ty,A_18),B_4)
     => ~ ( A_19 = A_18
         => B_5 != B_4 ) ),
    file('theBenchmark.p',fact_56_Pair__inject) ).

fof(fact_57_Pair__inject,axiom,
    ! [A_19,B_5,A_18,B_4] :
      ( hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,A_19),B_5) = hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,A_18),B_4)
     => ~ ( A_19 = A_18
         => B_5 != B_4 ) ),
    file('theBenchmark.p',fact_57_Pair__inject) ).

fof(fact_58_Pair__inject,axiom,
    ! [A_19,B_5,A_18,B_4] :
      ( hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,A_19),B_5) = hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,A_18),B_4)
     => ~ ( A_19 = A_18
         => B_5 != B_4 ) ),
    file('theBenchmark.p',fact_58_Pair__inject) ).

fof(fact_59_Pair__inject,axiom,
    ! [A_19,B_5,A_18,B_4] :
      ( hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,A_19),B_5) = hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,A_18),B_4)
     => ~ ( A_19 = A_18
         => B_5 != B_4 ) ),
    file('theBenchmark.p',fact_59_Pair__inject) ).

fof(fact_60_Pair__inject,axiom,
    ! [A_19,B_5,A_18,B_4] :
      ( hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,A_19),B_5) = hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,A_18),B_4)
     => ~ ( A_19 = A_18
         => B_5 != B_4 ) ),
    file('theBenchmark.p',fact_60_Pair__inject) ).

fof(fact_61_Pair__inject,axiom,
    ! [A_19,B_5,A_18,B_4] :
      ( hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,A_19),B_5) = hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,A_18),B_4)
     => ~ ( A_19 = A_18
         => B_5 != B_4 ) ),
    file('theBenchmark.p',fact_61_Pair__inject) ).

fof(fact_62_Pair__inject,axiom,
    ! [A_19,B_5,A_18,B_4] :
      ( hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,A_19),B_5) = hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,A_18),B_4)
     => ~ ( A_19 = A_18
         => B_5 != B_4 ) ),
    file('theBenchmark.p',fact_62_Pair__inject) ).

fof(fact_63_Pair__inject,axiom,
    ! [A_19,B_5,A_18,B_4] :
      ( hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,A_19),B_5) = hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,A_18),B_4)
     => ~ ( A_19 = A_18
         => B_5 != B_4 ) ),
    file('theBenchmark.p',fact_63_Pair__inject) ).

fof(fact_64_Pair__inject,axiom,
    ! [A_19,B_5,A_18,B_4] :
      ( hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,A_19),B_5) = hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,A_18),B_4)
     => ~ ( A_19 = A_18
         => B_5 != B_4 ) ),
    file('theBenchmark.p',fact_64_Pair__inject) ).

fof(fact_65_Pair__inject,axiom,
    ! [A,B,A_3,B_3] :
      ( hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,A),B) = hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,A_3),B_3)
     => ~ ( A = A_3
         => B != B_3 ) ),
    file('theBenchmark.p',fact_65_Pair__inject) ).

fof(fact_66_Pair__inject,axiom,
    ! [A_19,B_5,A_18,B_4] :
      ( hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,A_19),B_5) = hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,A_18),B_4)
     => ~ ( A_19 = A_18
         => B_5 != B_4 ) ),
    file('theBenchmark.p',fact_66_Pair__inject) ).

fof(fact_67_Pair__inject,axiom,
    ! [A_19,B_5,A_18,B_4] :
      ( hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,A_19),B_5) = hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,A_18),B_4)
     => ~ ( A_19 = A_18
         => B_5 != B_4 ) ),
    file('theBenchmark.p',fact_67_Pair__inject) ).

fof(fact_68_Pair__inject,axiom,
    ! [A_19,B_5,A_18,B_4] :
      ( hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,A_19),B_5) = hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,A_18),B_4)
     => ~ ( A_19 = A_18
         => B_5 != B_4 ) ),
    file('theBenchmark.p',fact_68_Pair__inject) ).

fof(fact_69_Pair__inject,axiom,
    ! [A,B,A_3,B_3] :
      ( hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,A),B) = hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,A_3),B_3)
     => ~ ( A = A_3
         => B != B_3 ) ),
    file('theBenchmark.p',fact_69_Pair__inject) ).

fof(fact_70_Pair__inject,axiom,
    ! [A,B,A_3,B_3] :
      ( hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,A),B) = hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,A_3),B_3)
     => ~ ( A = A_3
         => B != B_3 ) ),
    file('theBenchmark.p',fact_70_Pair__inject) ).

fof(fact_71_Pair__inject,axiom,
    ! [A,B,A_3,B_3] :
      ( hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,A),B) = hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,A_3),B_3)
     => ~ ( A = A_3
         => B != B_3 ) ),
    file('theBenchmark.p',fact_71_Pair__inject) ).

fof(fact_72_Pair__inject,axiom,
    ! [A_19,B_5,A_18,B_4] :
      ( hAPP_l1648260346t_char(hAPP_l1105836155t_char(produc1237966615t_char,A_19),B_5) = hAPP_l1648260346t_char(hAPP_l1105836155t_char(produc1237966615t_char,A_18),B_4)
     => ~ ( A_19 = A_18
         => B_5 != B_4 ) ),
    file('theBenchmark.p',fact_72_Pair__inject) ).

fof(fact_73_Pair__inject,axiom,
    ! [A_19,B_5,A_18,B_4] :
      ( hAPP_e817857447t_char(hAPP_e1376201919t_char(produc943465171t_char,A_19),B_5) = hAPP_e817857447t_char(hAPP_e1376201919t_char(produc943465171t_char,A_18),B_4)
     => ~ ( A_19 = A_18
         => B_5 != B_4 ) ),
    file('theBenchmark.p',fact_73_Pair__inject) ).

fof(fact_74_Pair__inject,axiom,
    ! [A_19,B_5,A_18,B_4] :
      ( hAPP_l1883348915t_char(hAPP_l2019537453t_char(produc2035944023t_char,A_19),B_5) = hAPP_l1883348915t_char(hAPP_l2019537453t_char(produc2035944023t_char,A_18),B_4)
     => ~ ( A_19 = A_18
         => B_5 != B_4 ) ),
    file('theBenchmark.p',fact_74_Pair__inject) ).

fof(fact_75_Pair__inject,axiom,
    ! [A_19,B_5,A_18,B_4] :
      ( hAPP_l1294856089har_ty(hAPP_l1657578379har_ty(produc1860789535har_ty,A_19),B_5) = hAPP_l1294856089har_ty(hAPP_l1657578379har_ty(produc1860789535har_ty,A_18),B_4)
     => ~ ( A_19 = A_18
         => B_5 != B_4 ) ),
    file('theBenchmark.p',fact_75_Pair__inject) ).

fof(fact_76_Pair__inject,axiom,
    ! [A_19,B_5,A_18,B_4] :
      ( hAPP_l1334098948t_char(hAPP_l1450984463t_char(produc436875159t_char,A_19),B_5) = hAPP_l1334098948t_char(hAPP_l1450984463t_char(produc436875159t_char,A_18),B_4)
     => ~ ( A_19 = A_18
         => B_5 != B_4 ) ),
    file('theBenchmark.p',fact_76_Pair__inject) ).

fof(fact_77_Pair__inject,axiom,
    ! [A_19,B_5,A_18,B_4] :
      ( hAPP_l1249476511st_val(hAPP_l103437071st_val(produc2078839843st_val,A_19),B_5) = hAPP_l1249476511st_val(hAPP_l103437071st_val(produc2078839843st_val,A_18),B_4)
     => ~ ( A_19 = A_18
         => B_5 != B_4 ) ),
    file('theBenchmark.p',fact_77_Pair__inject) ).

fof(fact_78_Pair__inject,axiom,
    ! [A_19,B_5,A_18,B_4] :
      ( hAPP_l1319068228ist_ty(hAPP_l1770520637ist_ty(produc512429457ist_ty,A_19),B_5) = hAPP_l1319068228ist_ty(hAPP_l1770520637ist_ty(produc512429457ist_ty,A_18),B_4)
     => ~ ( A_19 = A_18
         => B_5 != B_4 ) ),
    file('theBenchmark.p',fact_78_Pair__inject) ).

fof(fact_79_Pair__inject,axiom,
    ! [A_19,B_5,A_18,B_4] :
      ( ( is_bop(B_4)
        & is_bop(A_18)
        & is_bop(B_5)
        & is_bop(A_19) )
     => ( hAPP_b1909667208op_bop(hAPP_b1058859669op_bop(product_Pair_bop_bop,A_19),B_5) = hAPP_b1909667208op_bop(hAPP_b1058859669op_bop(product_Pair_bop_bop,A_18),B_4)
       => ~ ( A_19 = A_18
           => B_5 != B_4 ) ) ),
    file('theBenchmark.p',fact_79_Pair__inject) ).

fof(fact_80_Pair__inject,axiom,
    ! [A,B,A_3,B_3] :
      ( hAPP_f1146435765on_val(hAPP_f1744304433on_val(produc1618304727on_val,A),B) = hAPP_f1146435765on_val(hAPP_f1744304433on_val(produc1618304727on_val,A_3),B_3)
     => ~ ( A = A_3
         => B != B_3 ) ),
    file('theBenchmark.p',fact_80_Pair__inject) ).

fof(fact_81_Pair__inject,axiom,
    ! [A,B,A_3,B_3] :
      ( hAPP_f368284312on_val(hAPP_f1805337205on_val(produc1712663241on_val,A),B) = hAPP_f368284312on_val(hAPP_f1805337205on_val(produc1712663241on_val,A_3),B_3)
     => ~ ( A = A_3
         => B != B_3 ) ),
    file('theBenchmark.p',fact_81_Pair__inject) ).

fof(fact_82_Pair__inject,axiom,
    ! [A,B,A_3,B_3] :
      ( hAPP_f1741070310on_val(hAPP_f864891091on_val(produc1960514199on_val,A),B) = hAPP_f1741070310on_val(hAPP_f864891091on_val(produc1960514199on_val,A_3),B_3)
     => ~ ( A = A_3
         => B != B_3 ) ),
    file('theBenchmark.p',fact_82_Pair__inject) ).

fof(fact_83_Pair__inject,axiom,
    ! [A,B,A_3,B_3] :
      ( hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A),B) = hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_3),B_3)
     => ~ ( A = A_3
         => B != B_3 ) ),
    file('theBenchmark.p',fact_83_Pair__inject) ).

fof(fact_84_Pair__inject,axiom,
    ! [A,B,A_3,B_3] :
      ( hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A),B) = hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A_3),B_3)
     => ~ ( A = A_3
         => B != B_3 ) ),
    file('theBenchmark.p',fact_84_Pair__inject) ).

fof(fact_85_Pair__inject,axiom,
    ! [A,B,A_3,B_3] :
      ( hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A),B) = hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A_3),B_3)
     => ~ ( A = A_3
         => B != B_3 ) ),
    file('theBenchmark.p',fact_85_Pair__inject) ).

fof(fact_86_Pair__inject,axiom,
    ! [A,B,A_3,B_3] :
      ( hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,A),B) = hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,A_3),B_3)
     => ~ ( A = A_3
         => B != B_3 ) ),
    file('theBenchmark.p',fact_86_Pair__inject) ).

fof(fact_87_Pair__inject,axiom,
    ! [A_19,B_5,A_18,B_4] :
      ( hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A_19),B_5) = hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A_18),B_4)
     => ~ ( A_19 = A_18
         => B_5 != B_4 ) ),
    file('theBenchmark.p',fact_87_Pair__inject) ).

fof(fact_88_Pair__inject,axiom,
    ! [A_19,B_5,A_18,B_4] :
      ( ( is_bop(A_18)
        & is_bop(A_19) )
     => ( hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,A_19),B_5) = hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,A_18),B_4)
       => ~ ( A_19 = A_18
           => B_5 != B_4 ) ) ),
    file('theBenchmark.p',fact_88_Pair__inject) ).

fof(fact_89_Pair__inject,axiom,
    ! [A_19,B_5,A_18,B_4] :
      ( hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A_19),B_5) = hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A_18),B_4)
     => ~ ( A_19 = A_18
         => B_5 != B_4 ) ),
    file('theBenchmark.p',fact_89_Pair__inject) ).

fof(fact_90_Pair__inject,axiom,
    ! [A,B,A_3,B_3] :
      ( hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A),B) = hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A_3),B_3)
     => ~ ( A = A_3
         => B != B_3 ) ),
    file('theBenchmark.p',fact_90_Pair__inject) ).

fof(fact_91_Pair__inject,axiom,
    ! [A,B,A_3,B_3] :
      ( hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,A),B) = hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,A_3),B_3)
     => ~ ( A = A_3
         => B != B_3 ) ),
    file('theBenchmark.p',fact_91_Pair__inject) ).

fof(fact_92_Pair__inject,axiom,
    ! [A_19,B_5,A_18,B_4] :
      ( hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,A_19),B_5) = hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,A_18),B_4)
     => ~ ( A_19 = A_18
         => B_5 != B_4 ) ),
    file('theBenchmark.p',fact_92_Pair__inject) ).

fof(fact_93_Pair__inject,axiom,
    ! [A_19,B_5,A_18,B_4] :
      ( hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,A_19),B_5) = hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,A_18),B_4)
     => ~ ( A_19 = A_18
         => B_5 != B_4 ) ),
    file('theBenchmark.p',fact_93_Pair__inject) ).

fof(fact_94_Pair__inject,axiom,
    ! [A_19,B_5,A_18,B_4] :
      ( hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,A_19),B_5) = hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,A_18),B_4)
     => ~ ( A_19 = A_18
         => B_5 != B_4 ) ),
    file('theBenchmark.p',fact_94_Pair__inject) ).

fof(fact_95_Pair__inject,axiom,
    ! [A_19,B_5,A_18,B_4] :
      ( hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,A_19),B_5) = hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,A_18),B_4)
     => ~ ( A_19 = A_18
         => B_5 != B_4 ) ),
    file('theBenchmark.p',fact_95_Pair__inject) ).

fof(fact_96_Pair__inject,axiom,
    ! [A_19,B_5,A_18,B_4] :
      ( hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,A_19),B_5) = hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,A_18),B_4)
     => ~ ( A_19 = A_18
         => B_5 != B_4 ) ),
    file('theBenchmark.p',fact_96_Pair__inject) ).

fof(fact_97_Pair__inject,axiom,
    ! [A_19,B_5,A_18,B_4] :
      ( hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,A_19),B_5) = hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,A_18),B_4)
     => ~ ( A_19 = A_18
         => B_5 != B_4 ) ),
    file('theBenchmark.p',fact_97_Pair__inject) ).

fof(fact_98_Pair__inject,axiom,
    ! [A_19,B_5,A_18,B_4] :
      ( hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,A_19),B_5) = hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,A_18),B_4)
     => ~ ( A_19 = A_18
         => B_5 != B_4 ) ),
    file('theBenchmark.p',fact_98_Pair__inject) ).

fof(fact_99_Pair__eq,axiom,
    ! [A,B,A_3,B_3] :
      ( hAPP_t1875766236har_ty(hAPP_l1948972481har_ty(produc251930284har_ty,A),B) = hAPP_t1875766236har_ty(hAPP_l1948972481har_ty(produc251930284har_ty,A_3),B_3)
    <=> ( B = B_3
        & A = A_3 ) ),
    file('theBenchmark.p',fact_99_Pair__eq) ).

fof(fact_100_Pair__eq,axiom,
    ! [A,B,A_3,B_3] :
      ( hAPP_t708040077har_ty(hAPP_P827589667har_ty(produc1265154397har_ty,A),B) = hAPP_t708040077har_ty(hAPP_P827589667har_ty(produc1265154397har_ty,A_3),B_3)
    <=> ( B = B_3
        & A = A_3 ) ),
    file('theBenchmark.p',fact_100_Pair__eq) ).

fof(fact_101_Pair__eq,axiom,
    ! [A,B,A_3,B_3] :
      ( hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,A),B) = hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,A_3),B_3)
    <=> ( B = B_3
        & A = A_3 ) ),
    file('theBenchmark.p',fact_101_Pair__eq) ).

fof(fact_102_Pair__eq,axiom,
    ! [A,B,A_3,B_3] :
      ( hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,A),B) = hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,A_3),B_3)
    <=> ( B = B_3
        & A = A_3 ) ),
    file('theBenchmark.p',fact_102_Pair__eq) ).

fof(fact_103_Pair__eq,axiom,
    ! [A,B,A_3,B_3] :
      ( hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,A),B) = hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,A_3),B_3)
    <=> ( B = B_3
        & A = A_3 ) ),
    file('theBenchmark.p',fact_103_Pair__eq) ).

fof(fact_104_Pair__eq,axiom,
    ! [A,B,A_3,B_3] :
      ( hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,A),B) = hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,A_3),B_3)
    <=> ( B = B_3
        & A = A_3 ) ),
    file('theBenchmark.p',fact_104_Pair__eq) ).

fof(fact_105_Pair__eq,axiom,
    ! [A,B,A_3,B_3] :
      ( hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,A),B) = hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,A_3),B_3)
    <=> ( B = B_3
        & A = A_3 ) ),
    file('theBenchmark.p',fact_105_Pair__eq) ).

fof(fact_106_Pair__eq,axiom,
    ! [A,B,A_3,B_3] :
      ( hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,A),B) = hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,A_3),B_3)
    <=> ( B = B_3
        & A = A_3 ) ),
    file('theBenchmark.p',fact_106_Pair__eq) ).

fof(fact_107_Pair__eq,axiom,
    ! [A,B,A_3,B_3] :
      ( hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,A),B) = hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,A_3),B_3)
    <=> ( B = B_3
        & A = A_3 ) ),
    file('theBenchmark.p',fact_107_Pair__eq) ).

fof(fact_108_Pair__eq,axiom,
    ! [A,B,A_3,B_3] :
      ( hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,A),B) = hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,A_3),B_3)
    <=> ( B = B_3
        & A = A_3 ) ),
    file('theBenchmark.p',fact_108_Pair__eq) ).

fof(fact_109_Pair__eq,axiom,
    ! [A,B,A_3,B_3] :
      ( hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,A),B) = hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,A_3),B_3)
    <=> ( B = B_3
        & A = A_3 ) ),
    file('theBenchmark.p',fact_109_Pair__eq) ).

fof(fact_110_Pair__eq,axiom,
    ! [A,B,A_3,B_3] :
      ( hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,A),B) = hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,A_3),B_3)
    <=> ( B = B_3
        & A = A_3 ) ),
    file('theBenchmark.p',fact_110_Pair__eq) ).

fof(fact_111_Pair__eq,axiom,
    ! [A,B,A_3,B_3] :
      ( hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,A),B) = hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,A_3),B_3)
    <=> ( B = B_3
        & A = A_3 ) ),
    file('theBenchmark.p',fact_111_Pair__eq) ).

fof(fact_112_Pair__eq,axiom,
    ! [A,B,A_3,B_3] :
      ( hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,A),B) = hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,A_3),B_3)
    <=> ( B = B_3
        & A = A_3 ) ),
    file('theBenchmark.p',fact_112_Pair__eq) ).

fof(fact_113_Pair__eq,axiom,
    ! [A,B,A_3,B_3] :
      ( hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,A),B) = hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,A_3),B_3)
    <=> ( B = B_3
        & A = A_3 ) ),
    file('theBenchmark.p',fact_113_Pair__eq) ).

fof(fact_114_Pair__eq,axiom,
    ! [A,B,A_3,B_3] :
      ( hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,A),B) = hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,A_3),B_3)
    <=> ( B = B_3
        & A = A_3 ) ),
    file('theBenchmark.p',fact_114_Pair__eq) ).

fof(fact_115_Pair__eq,axiom,
    ! [A,B,A_3,B_3] :
      ( hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,A),B) = hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,A_3),B_3)
    <=> ( B = B_3
        & A = A_3 ) ),
    file('theBenchmark.p',fact_115_Pair__eq) ).

fof(fact_116_Pair__eq,axiom,
    ! [A,B,A_3,B_3] :
      ( hAPP_l1648260346t_char(hAPP_l1105836155t_char(produc1237966615t_char,A),B) = hAPP_l1648260346t_char(hAPP_l1105836155t_char(produc1237966615t_char,A_3),B_3)
    <=> ( B = B_3
        & A = A_3 ) ),
    file('theBenchmark.p',fact_116_Pair__eq) ).

fof(fact_117_Pair__eq,axiom,
    ! [A,B,A_3,B_3] :
      ( hAPP_e817857447t_char(hAPP_e1376201919t_char(produc943465171t_char,A),B) = hAPP_e817857447t_char(hAPP_e1376201919t_char(produc943465171t_char,A_3),B_3)
    <=> ( B = B_3
        & A = A_3 ) ),
    file('theBenchmark.p',fact_117_Pair__eq) ).

fof(fact_118_Pair__eq,axiom,
    ! [A,B,A_3,B_3] :
      ( hAPP_l1883348915t_char(hAPP_l2019537453t_char(produc2035944023t_char,A),B) = hAPP_l1883348915t_char(hAPP_l2019537453t_char(produc2035944023t_char,A_3),B_3)
    <=> ( B = B_3
        & A = A_3 ) ),
    file('theBenchmark.p',fact_118_Pair__eq) ).

fof(fact_119_Pair__eq,axiom,
    ! [A,B,A_3,B_3] :
      ( hAPP_l1294856089har_ty(hAPP_l1657578379har_ty(produc1860789535har_ty,A),B) = hAPP_l1294856089har_ty(hAPP_l1657578379har_ty(produc1860789535har_ty,A_3),B_3)
    <=> ( B = B_3
        & A = A_3 ) ),
    file('theBenchmark.p',fact_119_Pair__eq) ).

fof(fact_120_Pair__eq,axiom,
    ! [A,B,A_3,B_3] :
      ( hAPP_l1334098948t_char(hAPP_l1450984463t_char(produc436875159t_char,A),B) = hAPP_l1334098948t_char(hAPP_l1450984463t_char(produc436875159t_char,A_3),B_3)
    <=> ( B = B_3
        & A = A_3 ) ),
    file('theBenchmark.p',fact_120_Pair__eq) ).

fof(fact_121_Pair__eq,axiom,
    ! [A,B,A_3,B_3] :
      ( hAPP_l1249476511st_val(hAPP_l103437071st_val(produc2078839843st_val,A),B) = hAPP_l1249476511st_val(hAPP_l103437071st_val(produc2078839843st_val,A_3),B_3)
    <=> ( B = B_3
        & A = A_3 ) ),
    file('theBenchmark.p',fact_121_Pair__eq) ).

fof(fact_122_Pair__eq,axiom,
    ! [A,B,A_3,B_3] :
      ( hAPP_l1319068228ist_ty(hAPP_l1770520637ist_ty(produc512429457ist_ty,A),B) = hAPP_l1319068228ist_ty(hAPP_l1770520637ist_ty(produc512429457ist_ty,A_3),B_3)
    <=> ( B = B_3
        & A = A_3 ) ),
    file('theBenchmark.p',fact_122_Pair__eq) ).

fof(fact_123_Pair__eq,axiom,
    ! [A,B,A_3,B_3] :
      ( ( is_bop(B_3)
        & is_bop(A_3)
        & is_bop(B)
        & is_bop(A) )
     => ( hAPP_b1909667208op_bop(hAPP_b1058859669op_bop(product_Pair_bop_bop,A),B) = hAPP_b1909667208op_bop(hAPP_b1058859669op_bop(product_Pair_bop_bop,A_3),B_3)
      <=> ( B = B_3
          & A = A_3 ) ) ),
    file('theBenchmark.p',fact_123_Pair__eq) ).

fof(fact_124_Pair__eq,axiom,
    ! [A,B,A_3,B_3] :
      ( hAPP_f1146435765on_val(hAPP_f1744304433on_val(produc1618304727on_val,A),B) = hAPP_f1146435765on_val(hAPP_f1744304433on_val(produc1618304727on_val,A_3),B_3)
    <=> ( B = B_3
        & A = A_3 ) ),
    file('theBenchmark.p',fact_124_Pair__eq) ).

fof(fact_125_Pair__eq,axiom,
    ! [A,B,A_3,B_3] :
      ( hAPP_f368284312on_val(hAPP_f1805337205on_val(produc1712663241on_val,A),B) = hAPP_f368284312on_val(hAPP_f1805337205on_val(produc1712663241on_val,A_3),B_3)
    <=> ( B = B_3
        & A = A_3 ) ),
    file('theBenchmark.p',fact_125_Pair__eq) ).

fof(fact_126_Pair__eq,axiom,
    ! [A,B,A_3,B_3] :
      ( hAPP_f1741070310on_val(hAPP_f864891091on_val(produc1960514199on_val,A),B) = hAPP_f1741070310on_val(hAPP_f864891091on_val(produc1960514199on_val,A_3),B_3)
    <=> ( B = B_3
        & A = A_3 ) ),
    file('theBenchmark.p',fact_126_Pair__eq) ).

fof(fact_127_Pair__eq,axiom,
    ! [A,B,A_3,B_3] :
      ( hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A),B) = hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_3),B_3)
    <=> ( B = B_3
        & A = A_3 ) ),
    file('theBenchmark.p',fact_127_Pair__eq) ).

fof(fact_128_Pair__eq,axiom,
    ! [A,B,A_3,B_3] :
      ( hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A),B) = hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A_3),B_3)
    <=> ( B = B_3
        & A = A_3 ) ),
    file('theBenchmark.p',fact_128_Pair__eq) ).

fof(fact_129_Pair__eq,axiom,
    ! [A,B,A_3,B_3] :
      ( hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A),B) = hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A_3),B_3)
    <=> ( B = B_3
        & A = A_3 ) ),
    file('theBenchmark.p',fact_129_Pair__eq) ).

fof(fact_130_Pair__eq,axiom,
    ! [A,B,A_3,B_3] :
      ( hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,A),B) = hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,A_3),B_3)
    <=> ( B = B_3
        & A = A_3 ) ),
    file('theBenchmark.p',fact_130_Pair__eq) ).

fof(fact_131_Pair__eq,axiom,
    ! [A,B,A_3,B_3] :
      ( hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A),B) = hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A_3),B_3)
    <=> ( B = B_3
        & A = A_3 ) ),
    file('theBenchmark.p',fact_131_Pair__eq) ).

fof(fact_132_Pair__eq,axiom,
    ! [A,B,A_3,B_3] :
      ( ( is_bop(A_3)
        & is_bop(A) )
     => ( hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,A),B) = hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,A_3),B_3)
      <=> ( B = B_3
          & A = A_3 ) ) ),
    file('theBenchmark.p',fact_132_Pair__eq) ).

fof(fact_133_Pair__eq,axiom,
    ! [A,B,A_3,B_3] :
      ( hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A),B) = hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A_3),B_3)
    <=> ( B = B_3
        & A = A_3 ) ),
    file('theBenchmark.p',fact_133_Pair__eq) ).

fof(fact_134_Pair__eq,axiom,
    ! [A,B,A_3,B_3] :
      ( hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A),B) = hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A_3),B_3)
    <=> ( B = B_3
        & A = A_3 ) ),
    file('theBenchmark.p',fact_134_Pair__eq) ).

fof(fact_135_Pair__eq,axiom,
    ! [A,B,A_3,B_3] :
      ( hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,A),B) = hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,A_3),B_3)
    <=> ( B = B_3
        & A = A_3 ) ),
    file('theBenchmark.p',fact_135_Pair__eq) ).

fof(fact_136_Pair__eq,axiom,
    ! [A,B,A_3,B_3] :
      ( hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,A),B) = hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,A_3),B_3)
    <=> ( B = B_3
        & A = A_3 ) ),
    file('theBenchmark.p',fact_136_Pair__eq) ).

fof(fact_137_Pair__eq,axiom,
    ! [A,B,A_3,B_3] :
      ( hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,A),B) = hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,A_3),B_3)
    <=> ( B = B_3
        & A = A_3 ) ),
    file('theBenchmark.p',fact_137_Pair__eq) ).

fof(fact_138_Pair__eq,axiom,
    ! [A,B,A_3,B_3] :
      ( hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,A),B) = hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,A_3),B_3)
    <=> ( B = B_3
        & A = A_3 ) ),
    file('theBenchmark.p',fact_138_Pair__eq) ).

fof(fact_139_Pair__eq,axiom,
    ! [A,B,A_3,B_3] :
      ( hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,A),B) = hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,A_3),B_3)
    <=> ( B = B_3
        & A = A_3 ) ),
    file('theBenchmark.p',fact_139_Pair__eq) ).

fof(fact_140_Pair__eq,axiom,
    ! [A,B,A_3,B_3] :
      ( hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,A),B) = hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,A_3),B_3)
    <=> ( B = B_3
        & A = A_3 ) ),
    file('theBenchmark.p',fact_140_Pair__eq) ).

fof(fact_141_Pair__eq,axiom,
    ! [A,B,A_3,B_3] :
      ( hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,A),B) = hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,A_3),B_3)
    <=> ( B = B_3
        & A = A_3 ) ),
    file('theBenchmark.p',fact_141_Pair__eq) ).

fof(fact_142_Pair__eq,axiom,
    ! [A,B,A_3,B_3] :
      ( hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,A),B) = hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,A_3),B_3)
    <=> ( B = B_3
        & A = A_3 ) ),
    file('theBenchmark.p',fact_142_Pair__eq) ).

fof(fact_143_split__paired__All,axiom,
    ! [Pa] :
      ( ! [X1] : hBOOL(hAPP_P748443392y_bool(Pa,X1))
    <=> ! [A_1,B_2] : hBOOL(hAPP_P748443392y_bool(Pa,hAPP_t1875766236har_ty(hAPP_l1948972481har_ty(produc251930284har_ty,A_1),B_2))) ),
    file('theBenchmark.p',fact_143_split__paired__All) ).

fof(fact_144_split__paired__All,axiom,
    ! [Pa] :
      ( ! [X1] : hBOOL(hAPP_P27757617y_bool(Pa,X1))
    <=> ! [A_1,B_2] : hBOOL(hAPP_P27757617y_bool(Pa,hAPP_t708040077har_ty(hAPP_P827589667har_ty(produc1265154397har_ty,A_1),B_2))) ),
    file('theBenchmark.p',fact_144_split__paired__All) ).

fof(fact_145_split__paired__All,axiom,
    ! [Pa] :
      ( ! [X1] : hBOOL(hAPP_P1384137393r_bool(Pa,X1))
    <=> ! [A_1,B_2] : hBOOL(hAPP_P1384137393r_bool(Pa,hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,A_1),B_2))) ),
    file('theBenchmark.p',fact_145_split__paired__All) ).

fof(fact_146_split__paired__All,axiom,
    ! [Pa] :
      ( ! [X1] : hBOOL(hAPP_P1002912327r_bool(Pa,X1))
    <=> ! [A_1,B_2] : hBOOL(hAPP_P1002912327r_bool(Pa,hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,A_1),B_2))) ),
    file('theBenchmark.p',fact_146_split__paired__All) ).

fof(fact_147_split__paired__All,axiom,
    ! [Pa] :
      ( ! [X1] : hBOOL(hAPP_P801803911r_bool(Pa,X1))
    <=> ! [A_1,B_2] : hBOOL(hAPP_P801803911r_bool(Pa,hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,A_1),B_2))) ),
    file('theBenchmark.p',fact_147_split__paired__All) ).

fof(fact_148_split__paired__All,axiom,
    ! [Pa] :
      ( ! [X1] : hBOOL(hAPP_P929449287r_bool(Pa,X1))
    <=> ! [A_1,B_2] : hBOOL(hAPP_P929449287r_bool(Pa,hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,A_1),B_2))) ),
    file('theBenchmark.p',fact_148_split__paired__All) ).

fof(fact_149_split__paired__All,axiom,
    ! [Pa] :
      ( ! [X1] : hBOOL(hAPP_P975284999r_bool(Pa,X1))
    <=> ! [A_1,B_2] : hBOOL(hAPP_P975284999r_bool(Pa,hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,A_1),B_2))) ),
    file('theBenchmark.p',fact_149_split__paired__All) ).

fof(fact_150_split__paired__All,axiom,
    ! [Pa] :
      ( ! [X1] : hBOOL(hAPP_P1183499705r_bool(Pa,X1))
    <=> ! [A_1,B_2] : hBOOL(hAPP_P1183499705r_bool(Pa,hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,A_1),B_2))) ),
    file('theBenchmark.p',fact_150_split__paired__All) ).

fof(fact_151_split__paired__All,axiom,
    ! [Pa] :
      ( ! [X1] : hBOOL(hAPP_P1240100515r_bool(Pa,X1))
    <=> ! [A_1,B_2] : hBOOL(hAPP_P1240100515r_bool(Pa,hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,A_1),B_2))) ),
    file('theBenchmark.p',fact_151_split__paired__All) ).

fof(fact_152_split__paired__All,axiom,
    ! [Pa] :
      ( ! [X1] : hBOOL(hAPP_P824029447r_bool(Pa,X1))
    <=> ! [A_1,B_2] : hBOOL(hAPP_P824029447r_bool(Pa,hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,A_1),B_2))) ),
    file('theBenchmark.p',fact_152_split__paired__All) ).

fof(fact_153_split__paired__All,axiom,
    ! [Pa] :
      ( ! [X1] : hBOOL(hAPP_P2028072621l_bool(Pa,X1))
    <=> ! [A_1,B_2] : hBOOL(hAPP_P2028072621l_bool(Pa,hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,A_1),B_2))) ),
    file('theBenchmark.p',fact_153_split__paired__All) ).

fof(fact_154_split__paired__All,axiom,
    ! [Pa] :
      ( ! [X1] : hBOOL(hAPP_P2123002749l_bool(Pa,X1))
    <=> ! [A_1,B_2] : hBOOL(hAPP_P2123002749l_bool(Pa,hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,A_1),B_2))) ),
    file('theBenchmark.p',fact_154_split__paired__All) ).

fof(fact_155_split__paired__All,axiom,
    ! [Pa] :
      ( ! [X1] : hBOOL(hAPP_P738987199l_bool(Pa,X1))
    <=> ! [A_1,B_2] : hBOOL(hAPP_P738987199l_bool(Pa,hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,A_1),B_2))) ),
    file('theBenchmark.p',fact_155_split__paired__All) ).

fof(fact_156_split__paired__All,axiom,
    ! [Pa] :
      ( ! [X1] : hBOOL(hAPP_P2010574925r_bool(Pa,X1))
    <=> ! [A_1,B_2] : hBOOL(hAPP_P2010574925r_bool(Pa,hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,A_1),B_2))) ),
    file('theBenchmark.p',fact_156_split__paired__All) ).

fof(fact_157_split__paired__All,axiom,
    ! [Pa] :
      ( ! [X1] : hBOOL(hAPP_P124632071l_bool(Pa,X1))
    <=> ! [A_1,B_2] : hBOOL(hAPP_P124632071l_bool(Pa,hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,A_1),B_2))) ),
    file('theBenchmark.p',fact_157_split__paired__All) ).

fof(fact_158_split__paired__All,axiom,
    ! [Pa] :
      ( ! [X1] : hBOOL(hAPP_P1221872711l_bool(Pa,X1))
    <=> ! [A_1,B_2] : hBOOL(hAPP_P1221872711l_bool(Pa,hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,A_1),B_2))) ),
    file('theBenchmark.p',fact_158_split__paired__All) ).

fof(fact_159_split__paired__All,axiom,
    ! [Pa] :
      ( ! [X1] : hBOOL(hAPP_P378063101l_bool(Pa,X1))
    <=> ! [A_1,B_2] : hBOOL(hAPP_P378063101l_bool(Pa,hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,A_1),B_2))) ),
    file('theBenchmark.p',fact_159_split__paired__All) ).

fof(fact_160_split__paired__All,axiom,
    ! [Pa] :
      ( ! [X1] : hBOOL(hAPP_P499022727r_bool(Pa,X1))
    <=> ! [A_1,B_2] : hBOOL(hAPP_P499022727r_bool(Pa,hAPP_l1648260346t_char(hAPP_l1105836155t_char(produc1237966615t_char,A_1),B_2))) ),
    file('theBenchmark.p',fact_160_split__paired__All) ).

fof(fact_161_split__paired__All,axiom,
    ! [Pa] :
      ( ! [X1] : hBOOL(hAPP_P1632759357r_bool(Pa,X1))
    <=> ! [A_1,B_2] : hBOOL(hAPP_P1632759357r_bool(Pa,hAPP_e817857447t_char(hAPP_e1376201919t_char(produc943465171t_char,A_1),B_2))) ),
    file('theBenchmark.p',fact_161_split__paired__All) ).

fof(fact_162_split__paired__All,axiom,
    ! [Pa] :
      ( ! [X1] : hBOOL(hAPP_P476431815r_bool(Pa,X1))
    <=> ! [A_1,B_2] : hBOOL(hAPP_P476431815r_bool(Pa,hAPP_l1883348915t_char(hAPP_l2019537453t_char(produc2035944023t_char,A_1),B_2))) ),
    file('theBenchmark.p',fact_162_split__paired__All) ).

fof(fact_163_split__paired__All,axiom,
    ! [Pa] :
      ( ! [X1] : hBOOL(hAPP_P2053453961y_bool(Pa,X1))
    <=> ! [A_1,B_2] : hBOOL(hAPP_P2053453961y_bool(Pa,hAPP_l1294856089har_ty(hAPP_l1657578379har_ty(produc1860789535har_ty,A_1),B_2))) ),
    file('theBenchmark.p',fact_163_split__paired__All) ).

fof(fact_164_split__paired__All,axiom,
    ! [Pa] :
      ( ! [X1] : hBOOL(hAPP_P1926698759r_bool(Pa,X1))
    <=> ! [A_1,B_2] : hBOOL(hAPP_P1926698759r_bool(Pa,hAPP_l1334098948t_char(hAPP_l1450984463t_char(produc436875159t_char,A_1),B_2))) ),
    file('theBenchmark.p',fact_164_split__paired__All) ).

fof(fact_165_split__paired__All,axiom,
    ! [Pa] :
      ( ! [X1] : hBOOL(hAPP_P2115985549l_bool(Pa,X1))
    <=> ! [A_1,B_2] : hBOOL(hAPP_P2115985549l_bool(Pa,hAPP_l1249476511st_val(hAPP_l103437071st_val(produc2078839843st_val,A_1),B_2))) ),
    file('theBenchmark.p',fact_165_split__paired__All) ).

fof(fact_166_split__paired__All,axiom,
    ! [Pa] :
      ( ! [X1] : hBOOL(hAPP_P1574824955y_bool(Pa,X1))
    <=> ! [A_1,B_2] : hBOOL(hAPP_P1574824955y_bool(Pa,hAPP_l1319068228ist_ty(hAPP_l1770520637ist_ty(produc512429457ist_ty,A_1),B_2))) ),
    file('theBenchmark.p',fact_166_split__paired__All) ).

fof(fact_167_split__paired__All,axiom,
    ! [Pa] :
      ( ! [X1] : hBOOL(hAPP_P1085566419p_bool(Pa,X1))
    <=> ! [A_1,B_2] :
          ( ( is_bop(B_2)
            & is_bop(A_1) )
         => hBOOL(hAPP_P1085566419p_bool(Pa,hAPP_b1909667208op_bop(hAPP_b1058859669op_bop(product_Pair_bop_bop,A_1),B_2))) ) ),
    file('theBenchmark.p',fact_167_split__paired__All) ).

fof(fact_168_split__paired__All,axiom,
    ! [Pa] :
      ( ! [X1] : hBOOL(hAPP_P504978887l_bool(Pa,X1))
    <=> ! [A_1,B_2] : hBOOL(hAPP_P504978887l_bool(Pa,hAPP_f1146435765on_val(hAPP_f1744304433on_val(produc1618304727on_val,A_1),B_2))) ),
    file('theBenchmark.p',fact_168_split__paired__All) ).

fof(fact_169_split__paired__All,axiom,
    ! [Pa] :
      ( ! [X1] : hBOOL(hAPP_P2077557811l_bool(Pa,X1))
    <=> ! [A_1,B_2] : hBOOL(hAPP_P2077557811l_bool(Pa,hAPP_f368284312on_val(hAPP_f1805337205on_val(produc1712663241on_val,A_1),B_2))) ),
    file('theBenchmark.p',fact_169_split__paired__All) ).

fof(fact_170_split__paired__All,axiom,
    ! [Pa] :
      ( ! [X1] : hBOOL(hAPP_P468446343l_bool(Pa,X1))
    <=> ! [A_1,B_2] : hBOOL(hAPP_P468446343l_bool(Pa,hAPP_f1741070310on_val(hAPP_f864891091on_val(produc1960514199on_val,A_1),B_2))) ),
    file('theBenchmark.p',fact_170_split__paired__All) ).

fof(fact_171_split__paired__All,axiom,
    ! [Pa] :
      ( ! [X1] : hBOOL(hAPP_P282169671l_bool(Pa,X1))
    <=> ! [A_1,B_2] : hBOOL(hAPP_P282169671l_bool(Pa,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_1),B_2))) ),
    file('theBenchmark.p',fact_171_split__paired__All) ).

fof(fact_172_split__paired__All,axiom,
    ! [Pa] :
      ( ! [X1] : hBOOL(hAPP_P1708370145l_bool(Pa,X1))
    <=> ! [A_1,B_2] : hBOOL(hAPP_P1708370145l_bool(Pa,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A_1),B_2))) ),
    file('theBenchmark.p',fact_172_split__paired__All) ).

fof(fact_173_split__paired__All,axiom,
    ! [Pa] :
      ( ! [X1] : hBOOL(hAPP_P159683425l_bool(Pa,X1))
    <=> ! [A_1,B_2] : hBOOL(hAPP_P159683425l_bool(Pa,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A_1),B_2))) ),
    file('theBenchmark.p',fact_173_split__paired__All) ).

fof(fact_174_split__paired__All,axiom,
    ! [Pa] :
      ( ! [X1] : hBOOL(hAPP_P1235399154l_bool(Pa,X1))
    <=> ! [A_1,B_2] : hBOOL(hAPP_P1235399154l_bool(Pa,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,A_1),B_2))) ),
    file('theBenchmark.p',fact_174_split__paired__All) ).

fof(fact_175_split__paired__All,axiom,
    ! [Pa] :
      ( ! [X1] : hBOOL(hAPP_P449474095r_bool(Pa,X1))
    <=> ! [A_1,B_2] : hBOOL(hAPP_P449474095r_bool(Pa,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A_1),B_2))) ),
    file('theBenchmark.p',fact_175_split__paired__All) ).

fof(fact_176_split__paired__All,axiom,
    ! [Pa] :
      ( ! [X1] : hBOOL(hAPP_P943837928l_bool(Pa,X1))
    <=> ! [A_1,B_2] :
          ( is_bop(A_1)
         => hBOOL(hAPP_P943837928l_bool(Pa,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,A_1),B_2))) ) ),
    file('theBenchmark.p',fact_176_split__paired__All) ).

fof(fact_177_split__paired__All,axiom,
    ! [Pa] :
      ( ! [X1] : hBOOL(hAPP_P929938951l_bool(Pa,X1))
    <=> ! [A_1,B_2] : hBOOL(hAPP_P929938951l_bool(Pa,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A_1),B_2))) ),
    file('theBenchmark.p',fact_177_split__paired__All) ).

fof(fact_178_split__paired__All,axiom,
    ! [Pa] :
      ( ! [X1] : hBOOL(hAPP_P1333315679l_bool(Pa,X1))
    <=> ! [A_1,B_2] : hBOOL(hAPP_P1333315679l_bool(Pa,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A_1),B_2))) ),
    file('theBenchmark.p',fact_178_split__paired__All) ).

fof(fact_179_split__paired__All,axiom,
    ! [Pa] :
      ( ! [X1] : hBOOL(hAPP_P71593144l_bool(Pa,X1))
    <=> ! [A_1,B_2] : hBOOL(hAPP_P71593144l_bool(Pa,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,A_1),B_2))) ),
    file('theBenchmark.p',fact_179_split__paired__All) ).

fof(fact_180_split__paired__All,axiom,
    ! [Pa] :
      ( ! [X1] : hBOOL(hAPP_P92196306r_bool(Pa,X1))
    <=> ! [A_1,B_2] : hBOOL(hAPP_P92196306r_bool(Pa,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,A_1),B_2))) ),
    file('theBenchmark.p',fact_180_split__paired__All) ).

fof(fact_181_split__paired__All,axiom,
    ! [Pa] :
      ( ! [X1] : hBOOL(hAPP_P1907982426r_bool(Pa,X1))
    <=> ! [A_1,B_2] : hBOOL(hAPP_P1907982426r_bool(Pa,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,A_1),B_2))) ),
    file('theBenchmark.p',fact_181_split__paired__All) ).

fof(fact_182_split__paired__All,axiom,
    ! [Pa] :
      ( ! [X1] : hBOOL(hAPP_P2118621157r_bool(Pa,X1))
    <=> ! [A_1,B_2] : hBOOL(hAPP_P2118621157r_bool(Pa,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,A_1),B_2))) ),
    file('theBenchmark.p',fact_182_split__paired__All) ).

fof(fact_183_split__paired__All,axiom,
    ! [Pa] :
      ( ! [X1] : hBOOL(hAPP_P1680401186r_bool(Pa,X1))
    <=> ! [A_1,B_2] : hBOOL(hAPP_P1680401186r_bool(Pa,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,A_1),B_2))) ),
    file('theBenchmark.p',fact_183_split__paired__All) ).

fof(fact_184_split__paired__All,axiom,
    ! [Pa] :
      ( ! [X1] : hBOOL(hAPP_P659547099r_bool(Pa,X1))
    <=> ! [A_1,B_2] : hBOOL(hAPP_P659547099r_bool(Pa,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,A_1),B_2))) ),
    file('theBenchmark.p',fact_184_split__paired__All) ).

fof(fact_185_split__paired__All,axiom,
    ! [Pa] :
      ( ! [X1] : hBOOL(hAPP_P828904212r_bool(Pa,X1))
    <=> ! [A_1,B_2] : hBOOL(hAPP_P828904212r_bool(Pa,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,A_1),B_2))) ),
    file('theBenchmark.p',fact_185_split__paired__All) ).

fof(fact_186_split__paired__All,axiom,
    ! [Pa] :
      ( ! [X1] : hBOOL(hAPP_P2014166431r_bool(Pa,X1))
    <=> ! [A_1,B_2] : hBOOL(hAPP_P2014166431r_bool(Pa,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,A_1),B_2))) ),
    file('theBenchmark.p',fact_186_split__paired__All) ).

fof(fact_187_fun__upd__def,axiom,
    ! [F_1,B,A,X_1] :
      ( ( X_1 != A
       => hAPP_l207779698on_val(fun_up1149430426on_val(F_1,A,B),X_1) = hAPP_l207779698on_val(F_1,X_1) )
      & ( X_1 = A
       => hAPP_l207779698on_val(fun_up1149430426on_val(F_1,A,B),X_1) = B ) ),
    file('theBenchmark.p',fact_187_fun__upd__def) ).

fof(fact_188_fun__upd__def,axiom,
    ! [F_1,B,A,X_1] :
      ( ( X_1 != A
       => hAPP_l512744617ion_ty(fun_up424764369ion_ty(F_1,A,B),X_1) = hAPP_l512744617ion_ty(F_1,X_1) )
      & ( X_1 = A
       => hAPP_l512744617ion_ty(fun_up424764369ion_ty(F_1,A,B),X_1) = B ) ),
    file('theBenchmark.p',fact_188_fun__upd__def) ).

fof(fact_189_fun__upd__def,axiom,
    ! [F_1,B,A,X_1] :
      ( ( X_1 != A
       => hAPP_n546249108on_val(fun_up2041264236on_val(F_1,A,B),X_1) = hAPP_n546249108on_val(F_1,X_1) )
      & ( X_1 = A
       => hAPP_n546249108on_val(fun_up2041264236on_val(F_1,A,B),X_1) = B ) ),
    file('theBenchmark.p',fact_189_fun__upd__def) ).

fof(fact_190_fun__upd__def,axiom,
    ! [F_1,B,A,X_1] :
      ( ( X_1 != A
       => hAPP_P2094403585on_val(fun_up204312361on_val(F_1,A,B),X_1) = hAPP_P2094403585on_val(F_1,X_1) )
      & ( X_1 = A
       => hAPP_P2094403585on_val(fun_up204312361on_val(F_1,A,B),X_1) = B ) ),
    file('theBenchmark.p',fact_190_fun__upd__def) ).

fof(fact_191_fun__upd__idem,axiom,
    ! [F_1,X_2,Y_2] :
      ( hAPP_l207779698on_val(F_1,X_2) = Y_2
     => fun_up1149430426on_val(F_1,X_2,Y_2) = F_1 ),
    file('theBenchmark.p',fact_191_fun__upd__idem) ).

fof(fact_192_fun__upd__idem,axiom,
    ! [F_1,X_2,Y_2] :
      ( hAPP_l512744617ion_ty(F_1,X_2) = Y_2
     => fun_up424764369ion_ty(F_1,X_2,Y_2) = F_1 ),
    file('theBenchmark.p',fact_192_fun__upd__idem) ).

fof(fact_193_fun__upd__idem,axiom,
    ! [F_1,X_2,Y_2] :
      ( hAPP_n546249108on_val(F_1,X_2) = Y_2
     => fun_up2041264236on_val(F_1,X_2,Y_2) = F_1 ),
    file('theBenchmark.p',fact_193_fun__upd__idem) ).

fof(fact_194_fun__upd__idem,axiom,
    ! [F_1,X_2,Y_2] :
      ( hAPP_P2094403585on_val(F_1,X_2) = Y_2
     => fun_up204312361on_val(F_1,X_2,Y_2) = F_1 ),
    file('theBenchmark.p',fact_194_fun__upd__idem) ).

fof(fact_195_fun__upd__other,axiom,
    ! [F_1,Y_2,Z_1,X_2] :
      ( Z_1 != X_2
     => hAPP_l207779698on_val(fun_up1149430426on_val(F_1,X_2,Y_2),Z_1) = hAPP_l207779698on_val(F_1,Z_1) ),
    file('theBenchmark.p',fact_195_fun__upd__other) ).

fof(fact_196_fun__upd__other,axiom,
    ! [F_1,Y_2,Z_1,X_2] :
      ( Z_1 != X_2
     => hAPP_l512744617ion_ty(fun_up424764369ion_ty(F_1,X_2,Y_2),Z_1) = hAPP_l512744617ion_ty(F_1,Z_1) ),
    file('theBenchmark.p',fact_196_fun__upd__other) ).

fof(fact_197_fun__upd__other,axiom,
    ! [F_1,Y_2,Z_1,X_2] :
      ( Z_1 != X_2
     => hAPP_n546249108on_val(fun_up2041264236on_val(F_1,X_2,Y_2),Z_1) = hAPP_n546249108on_val(F_1,Z_1) ),
    file('theBenchmark.p',fact_197_fun__upd__other) ).

fof(fact_198_fun__upd__other,axiom,
    ! [F_1,Y_2,Z_1,X_2] :
      ( Z_1 != X_2
     => hAPP_P2094403585on_val(fun_up204312361on_val(F_1,X_2,Y_2),Z_1) = hAPP_P2094403585on_val(F_1,Z_1) ),
    file('theBenchmark.p',fact_198_fun__upd__other) ).

fof(fact_199_fun__upd__twist,axiom,
    ! [M_1,B,D_1,A,C_2] :
      ( A != C_2
     => fun_up1149430426on_val(fun_up1149430426on_val(M_1,A,B),C_2,D_1) = fun_up1149430426on_val(fun_up1149430426on_val(M_1,C_2,D_1),A,B) ),
    file('theBenchmark.p',fact_199_fun__upd__twist) ).

fof(fact_200_fun__upd__twist,axiom,
    ! [M_1,B,D_1,A,C_2] :
      ( A != C_2
     => fun_up424764369ion_ty(fun_up424764369ion_ty(M_1,A,B),C_2,D_1) = fun_up424764369ion_ty(fun_up424764369ion_ty(M_1,C_2,D_1),A,B) ),
    file('theBenchmark.p',fact_200_fun__upd__twist) ).

fof(fact_201_fun__upd__twist,axiom,
    ! [M_1,B,D_1,A,C_2] :
      ( A != C_2
     => fun_up2041264236on_val(fun_up2041264236on_val(M_1,A,B),C_2,D_1) = fun_up2041264236on_val(fun_up2041264236on_val(M_1,C_2,D_1),A,B) ),
    file('theBenchmark.p',fact_201_fun__upd__twist) ).

fof(fact_202_fun__upd__twist,axiom,
    ! [M_1,B,D_1,A,C_2] :
      ( A != C_2
     => fun_up204312361on_val(fun_up204312361on_val(M_1,A,B),C_2,D_1) = fun_up204312361on_val(fun_up204312361on_val(M_1,C_2,D_1),A,B) ),
    file('theBenchmark.p',fact_202_fun__upd__twist) ).

fof(fact_203_fun__upd__apply,axiom,
    ! [F_1,Y_2,Z_1,X_2] :
      ( ( Z_1 != X_2
       => hAPP_l207779698on_val(fun_up1149430426on_val(F_1,X_2,Y_2),Z_1) = hAPP_l207779698on_val(F_1,Z_1) )
      & ( Z_1 = X_2
       => hAPP_l207779698on_val(fun_up1149430426on_val(F_1,X_2,Y_2),Z_1) = Y_2 ) ),
    file('theBenchmark.p',fact_203_fun__upd__apply) ).

fof(fact_204_fun__upd__apply,axiom,
    ! [F_1,Y_2,Z_1,X_2] :
      ( ( Z_1 != X_2
       => hAPP_l512744617ion_ty(fun_up424764369ion_ty(F_1,X_2,Y_2),Z_1) = hAPP_l512744617ion_ty(F_1,Z_1) )
      & ( Z_1 = X_2
       => hAPP_l512744617ion_ty(fun_up424764369ion_ty(F_1,X_2,Y_2),Z_1) = Y_2 ) ),
    file('theBenchmark.p',fact_204_fun__upd__apply) ).

fof(fact_205_fun__upd__apply,axiom,
    ! [F_1,Y_2,Z_1,X_2] :
      ( ( Z_1 != X_2
       => hAPP_n546249108on_val(fun_up2041264236on_val(F_1,X_2,Y_2),Z_1) = hAPP_n546249108on_val(F_1,Z_1) )
      & ( Z_1 = X_2
       => hAPP_n546249108on_val(fun_up2041264236on_val(F_1,X_2,Y_2),Z_1) = Y_2 ) ),
    file('theBenchmark.p',fact_205_fun__upd__apply) ).

fof(fact_206_fun__upd__apply,axiom,
    ! [F_1,Y_2,Z_1,X_2] :
      ( ( Z_1 != X_2
       => hAPP_P2094403585on_val(fun_up204312361on_val(F_1,X_2,Y_2),Z_1) = hAPP_P2094403585on_val(F_1,Z_1) )
      & ( Z_1 = X_2
       => hAPP_P2094403585on_val(fun_up204312361on_val(F_1,X_2,Y_2),Z_1) = Y_2 ) ),
    file('theBenchmark.p',fact_206_fun__upd__apply) ).

fof(fact_207_fun__upd__same,axiom,
    ! [F_1,X_2,Y_2] : hAPP_l207779698on_val(fun_up1149430426on_val(F_1,X_2,Y_2),X_2) = Y_2,
    file('theBenchmark.p',fact_207_fun__upd__same) ).

fof(fact_208_fun__upd__same,axiom,
    ! [F_1,X_2,Y_2] : hAPP_l512744617ion_ty(fun_up424764369ion_ty(F_1,X_2,Y_2),X_2) = Y_2,
    file('theBenchmark.p',fact_208_fun__upd__same) ).

fof(fact_209_fun__upd__same,axiom,
    ! [F_1,X_2,Y_2] : hAPP_n546249108on_val(fun_up2041264236on_val(F_1,X_2,Y_2),X_2) = Y_2,
    file('theBenchmark.p',fact_209_fun__upd__same) ).

fof(fact_210_fun__upd__same,axiom,
    ! [F_1,X_2,Y_2] : hAPP_P2094403585on_val(fun_up204312361on_val(F_1,X_2,Y_2),X_2) = Y_2,
    file('theBenchmark.p',fact_210_fun__upd__same) ).

fof(fact_211_fun__upd__upd,axiom,
    ! [F_1,X_2,Y_2,Z_1] : fun_up1149430426on_val(fun_up1149430426on_val(F_1,X_2,Y_2),X_2,Z_1) = fun_up1149430426on_val(F_1,X_2,Z_1),
    file('theBenchmark.p',fact_211_fun__upd__upd) ).

fof(fact_212_fun__upd__upd,axiom,
    ! [F_1,X_2,Y_2,Z_1] : fun_up424764369ion_ty(fun_up424764369ion_ty(F_1,X_2,Y_2),X_2,Z_1) = fun_up424764369ion_ty(F_1,X_2,Z_1),
    file('theBenchmark.p',fact_212_fun__upd__upd) ).

fof(fact_213_fun__upd__upd,axiom,
    ! [F_1,X_2,Y_2,Z_1] : fun_up2041264236on_val(fun_up2041264236on_val(F_1,X_2,Y_2),X_2,Z_1) = fun_up2041264236on_val(F_1,X_2,Z_1),
    file('theBenchmark.p',fact_213_fun__upd__upd) ).

fof(fact_214_fun__upd__upd,axiom,
    ! [F_1,X_2,Y_2,Z_1] : fun_up204312361on_val(fun_up204312361on_val(F_1,X_2,Y_2),X_2,Z_1) = fun_up204312361on_val(F_1,X_2,Z_1),
    file('theBenchmark.p',fact_214_fun__upd__upd) ).

fof(fact_215_fun__upd__idem__iff,axiom,
    ! [F_1,X_2,Y_2] :
      ( fun_up1149430426on_val(F_1,X_2,Y_2) = F_1
    <=> hAPP_l207779698on_val(F_1,X_2) = Y_2 ),
    file('theBenchmark.p',fact_215_fun__upd__idem__iff) ).

fof(fact_216_fun__upd__idem__iff,axiom,
    ! [F_1,X_2,Y_2] :
      ( fun_up424764369ion_ty(F_1,X_2,Y_2) = F_1
    <=> hAPP_l512744617ion_ty(F_1,X_2) = Y_2 ),
    file('theBenchmark.p',fact_216_fun__upd__idem__iff) ).

fof(fact_217_fun__upd__idem__iff,axiom,
    ! [F_1,X_2,Y_2] :
      ( fun_up2041264236on_val(F_1,X_2,Y_2) = F_1
    <=> hAPP_n546249108on_val(F_1,X_2) = Y_2 ),
    file('theBenchmark.p',fact_217_fun__upd__idem__iff) ).

fof(fact_218_fun__upd__idem__iff,axiom,
    ! [F_1,X_2,Y_2] :
      ( fun_up204312361on_val(F_1,X_2,Y_2) = F_1
    <=> hAPP_P2094403585on_val(F_1,X_2) = Y_2 ),
    file('theBenchmark.p',fact_218_fun__upd__idem__iff) ).

fof(fact_219_widen__refl,axiom,
    ! [P_4,T_7] : hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(P_4),T_7),T_7)),
    file('theBenchmark.p',fact_219_widen__refl) ).

fof(fact_220_red__preserves__hconf,axiom,
    ! [Ea,Ta,Eb,Hb,Lb,E_b,H_b,L_b,Pa] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),L_b)))),red(Pa)))
     => ( hBOOL(wTrt_1(Pa,Hb,Ea,Eb,Ta))
       => ( hBOOL(hAPP_f61040418l_bool(hconf_97414254t_char(Pa),Hb))
         => hBOOL(hAPP_f61040418l_bool(hconf_97414254t_char(Pa),H_b)) ) ) ),
    file('theBenchmark.p',fact_220_red__preserves__hconf) ).

fof(fact_221_red__preserves__lconf,axiom,
    ! [Ea,Ta,Eb,Hb,Lb,E_b,H_b,L_b,Pa] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),L_b)))),red(Pa)))
     => ( hBOOL(wTrt_1(Pa,Hb,Ea,Eb,Ta))
       => ( hBOOL(hAPP_f1001225811y_bool(hAPP_f2060496320y_bool(hAPP_f1213370163y_bool(lconf_496643946t_char(Pa),Hb),Lb),Ea))
         => hBOOL(hAPP_f1001225811y_bool(hAPP_f2060496320y_bool(hAPP_f1213370163y_bool(lconf_496643946t_char(Pa),H_b),L_b),Ea)) ) ) ),
    file('theBenchmark.p',fact_221_red__preserves__lconf) ).

fof(fact_222_prod__cases3,axiom,
    ! [Y_5] :
      ~ ! [A_1,B_2,C_4] : Y_5 != hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,A_1),hAPP_P976433298t_char(hAPP_l2048923787t_char(produc2016959032t_char,B_2),C_4)),
    file('theBenchmark.p',fact_222_prod__cases3) ).

fof(fact_223_prod__cases3,axiom,
    ! [Y_2] :
      ~ ! [A_1,B_2,C_4] : Y_2 != hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_1),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,B_2),C_4)),
    file('theBenchmark.p',fact_223_prod__cases3) ).

fof(fact_224_prod__cases3,axiom,
    ! [Y_2] :
      ~ ! [A_1,B_2,C_4] : Y_2 != hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A_1),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,B_2),C_4)),
    file('theBenchmark.p',fact_224_prod__cases3) ).

fof(fact_225_prod__cases3,axiom,
    ! [Y_5] :
      ~ ! [A_1,B_2,C_4] :
          ( is_bop(A_1)
         => Y_5 != hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,A_1),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,B_2),C_4)) ),
    file('theBenchmark.p',fact_225_prod__cases3) ).

fof(fact_226_prod__cases3,axiom,
    ! [Y_2] :
      ~ ! [A_1,B_2,C_4] : Y_2 != hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A_1),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,B_2),C_4)),
    file('theBenchmark.p',fact_226_prod__cases3) ).

fof(fact_227_prod__cases3,axiom,
    ! [Y_2] :
      ~ ! [A_1,B_2,C_4] : Y_2 != hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,A_1),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,B_2),C_4)),
    file('theBenchmark.p',fact_227_prod__cases3) ).

fof(fact_228_prod__cases3,axiom,
    ! [Y_5] :
      ~ ! [A_1,B_2,C_4] : Y_5 != hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,A_1),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,B_2),C_4)),
    file('theBenchmark.p',fact_228_prod__cases3) ).

fof(fact_229_prod__cases3,axiom,
    ! [Y_5] :
      ~ ! [A_1,B_2,C_4] : Y_5 != hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,A_1),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,B_2),C_4)),
    file('theBenchmark.p',fact_229_prod__cases3) ).

fof(fact_230_prod__cases3,axiom,
    ! [Y_5] :
      ~ ! [A_1,B_2,C_4] : Y_5 != hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,A_1),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,B_2),C_4)),
    file('theBenchmark.p',fact_230_prod__cases3) ).

fof(fact_231_prod__cases3,axiom,
    ! [Y_5] :
      ~ ! [A_1,B_2,C_4] : Y_5 != hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,A_1),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,B_2),C_4)),
    file('theBenchmark.p',fact_231_prod__cases3) ).

fof(fact_232_prod__cases3,axiom,
    ! [Y_2] :
      ~ ! [A_1,B_2,C_4] : Y_2 != hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,A_1),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,B_2),C_4)),
    file('theBenchmark.p',fact_232_prod__cases3) ).

fof(fact_233_prod__cases3,axiom,
    ! [Y_2] :
      ~ ! [A_1,B_2,C_4] : Y_2 != hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,A_1),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,B_2),C_4)),
    file('theBenchmark.p',fact_233_prod__cases3) ).

fof(fact_234_prod__cases3,axiom,
    ! [Y_2] :
      ~ ! [A_1,B_2,C_4] : Y_2 != hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,A_1),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,B_2),C_4)),
    file('theBenchmark.p',fact_234_prod__cases3) ).

fof(fact_235_prod__cases3,axiom,
    ! [Y_5] :
      ~ ! [A_1,B_2,C_4] : Y_5 != hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,A_1),hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,B_2),C_4)),
    file('theBenchmark.p',fact_235_prod__cases3) ).

fof(fact_236_prod__cases3,axiom,
    ! [Y_5] :
      ~ ! [A_1,B_2,C_4] :
          ( is_bop(B_2)
         => Y_5 != hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,A_1),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,B_2),C_4)) ),
    file('theBenchmark.p',fact_236_prod__cases3) ).

fof(fact_237_prod__cases3,axiom,
    ! [Y_5] :
      ~ ! [A_1,B_2,C_4] : Y_5 != hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,A_1),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,B_2),C_4)),
    file('theBenchmark.p',fact_237_prod__cases3) ).

fof(fact_238_prod__cases3,axiom,
    ! [Y_2] :
      ~ ! [A_1,B_2,C_4] : Y_2 != hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,A_1),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,B_2),C_4)),
    file('theBenchmark.p',fact_238_prod__cases3) ).

fof(fact_239_prod__cases3,axiom,
    ! [Y_5] :
      ~ ! [A_1,B_2,C_4] : Y_5 != hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,A_1),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,B_2),C_4)),
    file('theBenchmark.p',fact_239_prod__cases3) ).

fof(fact_240_prod__cases3,axiom,
    ! [Y_5] :
      ~ ! [A_1,B_2,C_4] : Y_5 != hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,A_1),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,B_2),C_4)),
    file('theBenchmark.p',fact_240_prod__cases3) ).

fof(fact_241_prod__cases3,axiom,
    ! [Y_5] :
      ~ ! [A_1,B_2,C_4] : Y_5 != hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,A_1),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,B_2),C_4)),
    file('theBenchmark.p',fact_241_prod__cases3) ).

fof(fact_242_prod__cases3,axiom,
    ! [Y_5] :
      ~ ! [A_1,B_2,C_4] : Y_5 != hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,A_1),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,B_2),C_4)),
    file('theBenchmark.p',fact_242_prod__cases3) ).

fof(fact_243_prod__cases3,axiom,
    ! [Y_5] :
      ~ ! [A_1,B_2,C_4] : Y_5 != hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,A_1),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,B_2),C_4)),
    file('theBenchmark.p',fact_243_prod__cases3) ).

fof(fact_244_prod__cases3,axiom,
    ! [Y_5] :
      ~ ! [A_1,B_2,C_4] : Y_5 != hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,A_1),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,B_2),C_4)),
    file('theBenchmark.p',fact_244_prod__cases3) ).

fof(fact_245_prod__cases3,axiom,
    ! [Y_5] :
      ~ ! [A_1,B_2,C_4] : Y_5 != hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,A_1),hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,B_2),C_4)),
    file('theBenchmark.p',fact_245_prod__cases3) ).

fof(fact_246_prod__induct3,axiom,
    ! [X_2,Pa] :
      ( ! [A_1,B_2,C_4] : hBOOL(hAPP_P1384137393r_bool(Pa,hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,A_1),hAPP_P976433298t_char(hAPP_l2048923787t_char(produc2016959032t_char,B_2),C_4))))
     => hBOOL(hAPP_P1384137393r_bool(Pa,X_2)) ),
    file('theBenchmark.p',fact_246_prod__induct3) ).

fof(fact_247_prod__induct3,axiom,
    ! [X_2,Pa] :
      ( ! [A_1,B_2,C_4] : hBOOL(hAPP_P282169671l_bool(Pa,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_1),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,B_2),C_4))))
     => hBOOL(hAPP_P282169671l_bool(Pa,X_2)) ),
    file('theBenchmark.p',fact_247_prod__induct3) ).

fof(fact_248_prod__induct3,axiom,
    ! [X_2,Pa] :
      ( ! [A_1,B_2,C_4] : hBOOL(hAPP_P1708370145l_bool(Pa,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A_1),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,B_2),C_4))))
     => hBOOL(hAPP_P1708370145l_bool(Pa,X_2)) ),
    file('theBenchmark.p',fact_248_prod__induct3) ).

fof(fact_249_prod__induct3,axiom,
    ! [X_2,Pa] :
      ( ! [A_1,B_2,C_4] :
          ( is_bop(A_1)
         => hBOOL(hAPP_P943837928l_bool(Pa,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,A_1),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,B_2),C_4)))) )
     => hBOOL(hAPP_P943837928l_bool(Pa,X_2)) ),
    file('theBenchmark.p',fact_249_prod__induct3) ).

fof(fact_250_prod__induct3,axiom,
    ! [X_2,Pa] :
      ( ! [A_1,B_2,C_4] : hBOOL(hAPP_P1333315679l_bool(Pa,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A_1),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,B_2),C_4))))
     => hBOOL(hAPP_P1333315679l_bool(Pa,X_2)) ),
    file('theBenchmark.p',fact_250_prod__induct3) ).

fof(fact_251_prod__induct3,axiom,
    ! [X_2,Pa] :
      ( ! [A_1,B_2,C_4] : hBOOL(hAPP_P71593144l_bool(Pa,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,A_1),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,B_2),C_4))))
     => hBOOL(hAPP_P71593144l_bool(Pa,X_2)) ),
    file('theBenchmark.p',fact_251_prod__induct3) ).

fof(fact_252_prod__induct3,axiom,
    ! [X_2,Pa] :
      ( ! [A_1,B_2,C_4] : hBOOL(hAPP_P92196306r_bool(Pa,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,A_1),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,B_2),C_4))))
     => hBOOL(hAPP_P92196306r_bool(Pa,X_2)) ),
    file('theBenchmark.p',fact_252_prod__induct3) ).

fof(fact_253_prod__induct3,axiom,
    ! [X_2,Pa] :
      ( ! [A_1,B_2,C_4] : hBOOL(hAPP_P1907982426r_bool(Pa,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,A_1),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,B_2),C_4))))
     => hBOOL(hAPP_P1907982426r_bool(Pa,X_2)) ),
    file('theBenchmark.p',fact_253_prod__induct3) ).

fof(fact_254_prod__induct3,axiom,
    ! [X_2,Pa] :
      ( ! [A_1,B_2,C_4] : hBOOL(hAPP_P1680401186r_bool(Pa,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,A_1),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,B_2),C_4))))
     => hBOOL(hAPP_P1680401186r_bool(Pa,X_2)) ),
    file('theBenchmark.p',fact_254_prod__induct3) ).

fof(fact_255_prod__induct3,axiom,
    ! [X_2,Pa] :
      ( ! [A_1,B_2,C_4] : hBOOL(hAPP_P659547099r_bool(Pa,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,A_1),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,B_2),C_4))))
     => hBOOL(hAPP_P659547099r_bool(Pa,X_2)) ),
    file('theBenchmark.p',fact_255_prod__induct3) ).

fof(fact_256_prod__induct3,axiom,
    ! [X_2,Pa] :
      ( ! [A_1,B_2,C_4] : hBOOL(hAPP_P378063101l_bool(Pa,hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,A_1),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,B_2),C_4))))
     => hBOOL(hAPP_P378063101l_bool(Pa,X_2)) ),
    file('theBenchmark.p',fact_256_prod__induct3) ).

fof(fact_257_prod__induct3,axiom,
    ! [X_2,Pa] :
      ( ! [A_1,B_2,C_4] : hBOOL(hAPP_P1221872711l_bool(Pa,hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,A_1),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,B_2),C_4))))
     => hBOOL(hAPP_P1221872711l_bool(Pa,X_2)) ),
    file('theBenchmark.p',fact_257_prod__induct3) ).

fof(fact_258_prod__induct3,axiom,
    ! [X_2,Pa] :
      ( ! [A_1,B_2,C_4] : hBOOL(hAPP_P124632071l_bool(Pa,hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,A_1),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,B_2),C_4))))
     => hBOOL(hAPP_P124632071l_bool(Pa,X_2)) ),
    file('theBenchmark.p',fact_258_prod__induct3) ).

fof(fact_259_prod__induct3,axiom,
    ! [X_2,Pa] :
      ( ! [A_1,B_2,C_4] : hBOOL(hAPP_P2010574925r_bool(Pa,hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,A_1),hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,B_2),C_4))))
     => hBOOL(hAPP_P2010574925r_bool(Pa,X_2)) ),
    file('theBenchmark.p',fact_259_prod__induct3) ).

fof(fact_260_prod__induct3,axiom,
    ! [X_2,Pa] :
      ( ! [A_1,B_2,C_4] :
          ( is_bop(B_2)
         => hBOOL(hAPP_P738987199l_bool(Pa,hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,A_1),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,B_2),C_4)))) )
     => hBOOL(hAPP_P738987199l_bool(Pa,X_2)) ),
    file('theBenchmark.p',fact_260_prod__induct3) ).

fof(fact_261_prod__induct3,axiom,
    ! [X_2,Pa] :
      ( ! [A_1,B_2,C_4] : hBOOL(hAPP_P2123002749l_bool(Pa,hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,A_1),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,B_2),C_4))))
     => hBOOL(hAPP_P2123002749l_bool(Pa,X_2)) ),
    file('theBenchmark.p',fact_261_prod__induct3) ).

fof(fact_262_prod__induct3,axiom,
    ! [X_2,Pa] :
      ( ! [A_1,B_2,C_4] : hBOOL(hAPP_P2028072621l_bool(Pa,hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,A_1),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,B_2),C_4))))
     => hBOOL(hAPP_P2028072621l_bool(Pa,X_2)) ),
    file('theBenchmark.p',fact_262_prod__induct3) ).

fof(fact_263_prod__induct3,axiom,
    ! [X_2,Pa] :
      ( ! [A_1,B_2,C_4] : hBOOL(hAPP_P824029447r_bool(Pa,hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,A_1),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,B_2),C_4))))
     => hBOOL(hAPP_P824029447r_bool(Pa,X_2)) ),
    file('theBenchmark.p',fact_263_prod__induct3) ).

fof(fact_264_prod__induct3,axiom,
    ! [X_2,Pa] :
      ( ! [A_1,B_2,C_4] : hBOOL(hAPP_P1240100515r_bool(Pa,hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,A_1),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,B_2),C_4))))
     => hBOOL(hAPP_P1240100515r_bool(Pa,X_2)) ),
    file('theBenchmark.p',fact_264_prod__induct3) ).

fof(fact_265_prod__induct3,axiom,
    ! [X_2,Pa] :
      ( ! [A_1,B_2,C_4] : hBOOL(hAPP_P1183499705r_bool(Pa,hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,A_1),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,B_2),C_4))))
     => hBOOL(hAPP_P1183499705r_bool(Pa,X_2)) ),
    file('theBenchmark.p',fact_265_prod__induct3) ).

fof(fact_266_prod__induct3,axiom,
    ! [X_2,Pa] :
      ( ! [A_1,B_2,C_4] : hBOOL(hAPP_P975284999r_bool(Pa,hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,A_1),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,B_2),C_4))))
     => hBOOL(hAPP_P975284999r_bool(Pa,X_2)) ),
    file('theBenchmark.p',fact_266_prod__induct3) ).

fof(fact_267_prod__induct3,axiom,
    ! [X_2,Pa] :
      ( ! [A_1,B_2,C_4] : hBOOL(hAPP_P929449287r_bool(Pa,hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,A_1),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,B_2),C_4))))
     => hBOOL(hAPP_P929449287r_bool(Pa,X_2)) ),
    file('theBenchmark.p',fact_267_prod__induct3) ).

fof(fact_268_prod__induct3,axiom,
    ! [X_2,Pa] :
      ( ! [A_1,B_2,C_4] : hBOOL(hAPP_P801803911r_bool(Pa,hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,A_1),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,B_2),C_4))))
     => hBOOL(hAPP_P801803911r_bool(Pa,X_2)) ),
    file('theBenchmark.p',fact_268_prod__induct3) ).

fof(fact_269_prod__induct3,axiom,
    ! [X_2,Pa] :
      ( ! [A_1,B_2,C_4] : hBOOL(hAPP_P1002912327r_bool(Pa,hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,A_1),hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,B_2),C_4))))
     => hBOOL(hAPP_P1002912327r_bool(Pa,X_2)) ),
    file('theBenchmark.p',fact_269_prod__induct3) ).

fof(fact_270_red__preserves__sconf,axiom,
    ! [Ea,Ta,Eb,S,E_b,S_2,Pa] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_2))),red(Pa)))
     => ( hBOOL(wTrt_1(Pa,hp(S),Ea,Eb,Ta))
       => ( hBOOL(hAPP_P159683425l_bool(typeSa1700205512_sconf(Pa,Ea),S))
         => hBOOL(hAPP_P159683425l_bool(typeSa1700205512_sconf(Pa,Ea),S_2)) ) ) ),
    file('theBenchmark.p',fact_270_red__preserves__sconf) ).

fof(fact_271_pred__equals__eq2,axiom,
    ! [S_4,R_2] :
      ( ! [X_1,Xa] :
          ( hBOOL(hAPP_f1734260017l_bool(hAPP_P53416969l_bool(member894971540t_char,hAPP_l1648260346t_char(hAPP_l1105836155t_char(produc1237966615t_char,X_1),Xa)),R_2))
        <=> hBOOL(hAPP_f1734260017l_bool(hAPP_P53416969l_bool(member894971540t_char,hAPP_l1648260346t_char(hAPP_l1105836155t_char(produc1237966615t_char,X_1),Xa)),S_4)) )
    <=> R_2 = S_4 ),
    file('theBenchmark.p',fact_271_pred__equals__eq2) ).

fof(fact_272_pred__equals__eq2,axiom,
    ! [S_4,R_2] :
      ( ! [X_1,Xa] :
          ( hBOOL(hAPP_f588675559l_bool(hAPP_P1860450421l_bool(member1199939018t_char,hAPP_e817857447t_char(hAPP_e1376201919t_char(produc943465171t_char,X_1),Xa)),R_2))
        <=> hBOOL(hAPP_f588675559l_bool(hAPP_P1860450421l_bool(member1199939018t_char,hAPP_e817857447t_char(hAPP_e1376201919t_char(produc943465171t_char,X_1),Xa)),S_4)) )
    <=> R_2 = S_4 ),
    file('theBenchmark.p',fact_272_pred__equals__eq2) ).

fof(fact_273_pred__equals__eq2,axiom,
    ! [S_4,R_2] :
      ( ! [X_1,Xa] :
          ( hBOOL(hAPP_f479632753l_bool(hAPP_P153687689l_bool(member817832404t_char,hAPP_l1883348915t_char(hAPP_l2019537453t_char(produc2035944023t_char,X_1),Xa)),R_2))
        <=> hBOOL(hAPP_f479632753l_bool(hAPP_P153687689l_bool(member817832404t_char,hAPP_l1883348915t_char(hAPP_l2019537453t_char(produc2035944023t_char,X_1),Xa)),S_4)) )
    <=> R_2 = S_4 ),
    file('theBenchmark.p',fact_273_pred__equals__eq2) ).

fof(fact_274_pred__equals__eq2,axiom,
    ! [S_4,R_2] :
      ( ! [X_1,Xa] :
          ( hBOOL(hAPP_f288221747l_bool(hAPP_P569585933l_bool(member520253462har_ty,hAPP_l1294856089har_ty(hAPP_l1657578379har_ty(produc1860789535har_ty,X_1),Xa)),R_2))
        <=> hBOOL(hAPP_f288221747l_bool(hAPP_P569585933l_bool(member520253462har_ty,hAPP_l1294856089har_ty(hAPP_l1657578379har_ty(produc1860789535har_ty,X_1),Xa)),S_4)) )
    <=> R_2 = S_4 ),
    file('theBenchmark.p',fact_274_pred__equals__eq2) ).

fof(fact_275_pred__equals__eq2,axiom,
    ! [S_4,R_2] :
      ( ! [X_1,Xa] :
          ( hBOOL(hAPP_f1748390065l_bool(hAPP_P1503283977l_bool(member1580476948t_char,hAPP_l1334098948t_char(hAPP_l1450984463t_char(produc436875159t_char,X_1),Xa)),R_2))
        <=> hBOOL(hAPP_f1748390065l_bool(hAPP_P1503283977l_bool(member1580476948t_char,hAPP_l1334098948t_char(hAPP_l1450984463t_char(produc436875159t_char,X_1),Xa)),S_4)) )
    <=> R_2 = S_4 ),
    file('theBenchmark.p',fact_275_pred__equals__eq2) ).

fof(fact_276_pred__equals__eq2,axiom,
    ! [S_4,R_2] :
      ( ! [X_1,Xa] :
          ( hBOOL(hAPP_f348753975l_bool(hAPP_P1033205013l_bool(member273646106st_val,hAPP_l1249476511st_val(hAPP_l103437071st_val(produc2078839843st_val,X_1),Xa)),R_2))
        <=> hBOOL(hAPP_f348753975l_bool(hAPP_P1033205013l_bool(member273646106st_val,hAPP_l1249476511st_val(hAPP_l103437071st_val(produc2078839843st_val,X_1),Xa)),S_4)) )
    <=> R_2 = S_4 ),
    file('theBenchmark.p',fact_276_pred__equals__eq2) ).

fof(fact_277_pred__equals__eq2,axiom,
    ! [S_4,R_2] :
      ( ! [X_1,Xa] :
          ( hBOOL(hAPP_f433445541l_bool(hAPP_P1019319281l_bool(member104734088ist_ty,hAPP_l1319068228ist_ty(hAPP_l1770520637ist_ty(produc512429457ist_ty,X_1),Xa)),R_2))
        <=> hBOOL(hAPP_f433445541l_bool(hAPP_P1019319281l_bool(member104734088ist_ty,hAPP_l1319068228ist_ty(hAPP_l1770520637ist_ty(produc512429457ist_ty,X_1),Xa)),S_4)) )
    <=> R_2 = S_4 ),
    file('theBenchmark.p',fact_277_pred__equals__eq2) ).

fof(fact_278_pred__equals__eq2,axiom,
    ! [S_4,R_2] :
      ( ( is_fun1083000568p_bool(R_2)
        & is_fun1083000568p_bool(S_4) )
     => ( ! [X_1,Xa] :
            ( ( is_bop(Xa)
              & is_bop(X_1) )
           => ( hBOOL(hAPP_f1854361213l_bool(hAPP_P1034346913l_bool(member978285664op_bop,hAPP_b1909667208op_bop(hAPP_b1058859669op_bop(product_Pair_bop_bop,X_1),Xa)),R_2))
            <=> hBOOL(hAPP_f1854361213l_bool(hAPP_P1034346913l_bool(member978285664op_bop,hAPP_b1909667208op_bop(hAPP_b1058859669op_bop(product_Pair_bop_bop,X_1),Xa)),S_4)) ) )
      <=> R_2 = S_4 ) ),
    file('theBenchmark.p',fact_278_pred__equals__eq2) ).

fof(fact_279_pred__equals__eq2,axiom,
    ! [S_4,R_2] :
      ( ! [X_1,Xa] :
          ( hBOOL(hAPP_f983152497l_bool(hAPP_P1953134729l_bool(member781783252on_val,hAPP_f1146435765on_val(hAPP_f1744304433on_val(produc1618304727on_val,X_1),Xa)),R_2))
        <=> hBOOL(hAPP_f983152497l_bool(hAPP_P1953134729l_bool(member781783252on_val,hAPP_f1146435765on_val(hAPP_f1744304433on_val(produc1618304727on_val,X_1),Xa)),S_4)) )
    <=> R_2 = S_4 ),
    file('theBenchmark.p',fact_279_pred__equals__eq2) ).

fof(fact_280_pred__equals__eq2,axiom,
    ! [S_4,R_2] :
      ( ! [X_1,Xa] :
          ( hBOOL(hAPP_f1754555101l_bool(hAPP_P1679186017l_bool(member1337019328on_val,hAPP_f368284312on_val(hAPP_f1805337205on_val(produc1712663241on_val,X_1),Xa)),R_2))
        <=> hBOOL(hAPP_f1754555101l_bool(hAPP_P1679186017l_bool(member1337019328on_val,hAPP_f368284312on_val(hAPP_f1805337205on_val(produc1712663241on_val,X_1),Xa)),S_4)) )
    <=> R_2 = S_4 ),
    file('theBenchmark.p',fact_280_pred__equals__eq2) ).

fof(fact_281_pred__equals__eq2,axiom,
    ! [S_4,R_2] :
      ( ! [X_1,Xa] :
          ( hBOOL(hAPP_f1661305905l_bool(hAPP_P1878549513l_bool(member490182804on_val,hAPP_f1741070310on_val(hAPP_f864891091on_val(produc1960514199on_val,X_1),Xa)),R_2))
        <=> hBOOL(hAPP_f1661305905l_bool(hAPP_P1878549513l_bool(member490182804on_val,hAPP_f1741070310on_val(hAPP_f864891091on_val(produc1960514199on_val,X_1),Xa)),S_4)) )
    <=> R_2 = S_4 ),
    file('theBenchmark.p',fact_281_pred__equals__eq2) ).

fof(fact_282_pred__equals__eq2,axiom,
    ! [S_4,R_2] :
      ( ! [X_1,Xa] :
          ( hBOOL(hAPP_f91506671l_bool(hAPP_P2015860941l_bool(member840932460on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,X_1),Xa)),R_2))
        <=> hBOOL(hAPP_f91506671l_bool(hAPP_P2015860941l_bool(member840932460on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,X_1),Xa)),S_4)) )
    <=> R_2 = S_4 ),
    file('theBenchmark.p',fact_282_pred__equals__eq2) ).

fof(fact_283_pred__equals__eq2,axiom,
    ! [S_4,R_2] :
      ( ! [X_1,Xa] :
          ( hBOOL(hAPP_f966411375l_bool(hAPP_P998768845l_bool(member763590124on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,X_1),Xa)),R_2))
        <=> hBOOL(hAPP_f966411375l_bool(hAPP_P998768845l_bool(member763590124on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,X_1),Xa)),S_4)) )
    <=> R_2 = S_4 ),
    file('theBenchmark.p',fact_283_pred__equals__eq2) ).

fof(fact_284_pred__equals__eq2,axiom,
    ! [S_4,R_2] :
      ( ! [X_1,Xa] :
          ( hBOOL(hAPP_f1134950784l_bool(hAPP_P1217996045l_bool(member1542417277on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,X_1),Xa)),R_2))
        <=> hBOOL(hAPP_f1134950784l_bool(hAPP_P1217996045l_bool(member1542417277on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,X_1),Xa)),S_4)) )
    <=> R_2 = S_4 ),
    file('theBenchmark.p',fact_284_pred__equals__eq2) ).

fof(fact_285_pred__equals__eq2,axiom,
    ! [S_4,R_2] :
      ( ! [X_1,Xa] :
          ( is_bop(X_1)
         => ( hBOOL(hAPP_f742333458l_bool(hAPP_P1653675595l_bool(member1417904245al_val,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,X_1),Xa)),R_2))
          <=> hBOOL(hAPP_f742333458l_bool(hAPP_P1653675595l_bool(member1417904245al_val,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,X_1),Xa)),S_4)) ) )
    <=> R_2 = S_4 ),
    file('theBenchmark.p',fact_285_pred__equals__eq2) ).

fof(fact_286_pred__equals__eq2,axiom,
    ! [S_4,R_2] :
      ( ! [X_1,Xa] :
          ( hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,X_1),Xa)),R_2))
        <=> hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,X_1),Xa)),S_4)) )
    <=> R_2 = S_4 ),
    file('theBenchmark.p',fact_286_pred__equals__eq2) ).

fof(fact_287_pred__equals__eq2,axiom,
    ! [S_4,R_2] :
      ( ! [X_1,Xa] :
          ( hBOOL(hAPP_f837795298l_bool(hAPP_P483670507l_bool(member1972431429on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,X_1),Xa)),R_2))
        <=> hBOOL(hAPP_f837795298l_bool(hAPP_P483670507l_bool(member1972431429on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,X_1),Xa)),S_4)) )
    <=> R_2 = S_4 ),
    file('theBenchmark.p',fact_287_pred__equals__eq2) ).

fof(fact_288_pred__equals__eq2,axiom,
    ! [S_4,R_2] :
      ( ! [X_1,Xa] :
          ( hBOOL(hAPP_f1780084320l_bool(hAPP_P1472618637l_bool(member133545693t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,X_1),Xa)),R_2))
        <=> hBOOL(hAPP_f1780084320l_bool(hAPP_P1472618637l_bool(member133545693t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,X_1),Xa)),S_4)) )
    <=> R_2 = S_4 ),
    file('theBenchmark.p',fact_288_pred__equals__eq2) ).

fof(fact_289_pred__equals__eq2,axiom,
    ! [S_4,R_2] :
      ( ! [X_1,Xa] :
          ( hBOOL(hAPP_f1746574980l_bool(hAPP_P1198052655l_bool(member140606439t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,X_1),Xa)),R_2))
        <=> hBOOL(hAPP_f1746574980l_bool(hAPP_P1198052655l_bool(member140606439t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,X_1),Xa)),S_4)) )
    <=> R_2 = S_4 ),
    file('theBenchmark.p',fact_289_pred__equals__eq2) ).

fof(fact_290_pred__equals__eq2,axiom,
    ! [S_4,R_2] :
      ( ! [X_1,Xa] :
          ( hBOOL(hAPP_f1314764175l_bool(hAPP_P845017029l_bool(member699351154t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,X_1),Xa)),R_2))
        <=> hBOOL(hAPP_f1314764175l_bool(hAPP_P845017029l_bool(member699351154t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,X_1),Xa)),S_4)) )
    <=> R_2 = S_4 ),
    file('theBenchmark.p',fact_290_pred__equals__eq2) ).

fof(fact_291_pred__equals__eq2,axiom,
    ! [S_4,R_2] :
      ( ! [X_1,Xa] :
          ( hBOOL(hAPP_f2050077417l_bool(hAPP_P1517699917l_bool(member1771544038t_char,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,X_1),Xa)),R_2))
        <=> hBOOL(hAPP_f2050077417l_bool(hAPP_P1517699917l_bool(member1771544038t_char,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,X_1),Xa)),S_4)) )
    <=> R_2 = S_4 ),
    file('theBenchmark.p',fact_291_pred__equals__eq2) ).

fof(fact_292_pred__equals__eq2,axiom,
    ! [S_4,R_2] :
      ( ! [X_1,Xa] :
          ( hBOOL(hAPP_f1161798306l_bool(hAPP_P1327510541l_bool(member1379348767t_char,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,X_1),Xa)),R_2))
        <=> hBOOL(hAPP_f1161798306l_bool(hAPP_P1327510541l_bool(member1379348767t_char,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,X_1),Xa)),S_4)) )
    <=> R_2 = S_4 ),
    file('theBenchmark.p',fact_292_pred__equals__eq2) ).

fof(fact_293_pred__equals__eq2,axiom,
    ! [S_4,R_2] :
      ( ! [X_1,Xa] :
          ( hBOOL(hAPP_f82569901l_bool(hAPP_P1293136973l_bool(member1840112042t_char,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,X_1),Xa)),R_2))
        <=> hBOOL(hAPP_f82569901l_bool(hAPP_P1293136973l_bool(member1840112042t_char,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,X_1),Xa)),S_4)) )
    <=> R_2 = S_4 ),
    file('theBenchmark.p',fact_293_pred__equals__eq2) ).

fof(fact_294_pred__equals__eq2,axiom,
    ! [S_4,R_2] :
      ( ! [X_1,Xa] :
          ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,X_1),Xa)),R_2))
        <=> hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,X_1),Xa)),S_4)) )
    <=> R_2 = S_4 ),
    file('theBenchmark.p',fact_294_pred__equals__eq2) ).

fof(fact_295_pred__equals__eq2,axiom,
    ! [S_4,R_2] :
      ( ! [X_1,Xa] :
          ( hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,X_1),Xa)),R_2))
        <=> hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,X_1),Xa)),S_4)) )
    <=> R_2 = S_4 ),
    file('theBenchmark.p',fact_295_pred__equals__eq2) ).

fof(fact_296_pred__equals__eq2,axiom,
    ! [S_4,R_2] :
      ( ! [X_1,Xa] :
          ( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,X_1),Xa)),R_2))
        <=> hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,X_1),Xa)),S_4)) )
    <=> R_2 = S_4 ),
    file('theBenchmark.p',fact_296_pred__equals__eq2) ).

fof(fact_297_pred__equals__eq2,axiom,
    ! [S_4,R_2] :
      ( ! [X_1,Xa] :
          ( hBOOL(hAPP_f515912112l_bool(hAPP_P205570445l_bool(member1467889965t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,X_1),Xa)),R_2))
        <=> hBOOL(hAPP_f515912112l_bool(hAPP_P205570445l_bool(member1467889965t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,X_1),Xa)),S_4)) )
    <=> R_2 = S_4 ),
    file('theBenchmark.p',fact_297_pred__equals__eq2) ).

fof(fact_298_pred__equals__eq2,axiom,
    ! [S_4,R_2] :
      ( ! [X_1,Xa] :
          ( hBOOL(hAPP_f483496539l_bool(hAPP_P7095645l_bool(member1601084734t_char,hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,X_1),Xa)),R_2))
        <=> hBOOL(hAPP_f483496539l_bool(hAPP_P7095645l_bool(member1601084734t_char,hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,X_1),Xa)),S_4)) )
    <=> R_2 = S_4 ),
    file('theBenchmark.p',fact_298_pred__equals__eq2) ).

fof(fact_299_prod_Oexhaust,axiom,
    ! [Y_4] :
      ~ ! [A_1,B_2] : Y_4 != hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,A_1),B_2),
    file('theBenchmark.p',fact_299_prod_Oexhaust) ).

fof(fact_300_prod_Oexhaust,axiom,
    ! [Y_4] :
      ~ ! [A_1,B_2] : Y_4 != hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,A_1),B_2),
    file('theBenchmark.p',fact_300_prod_Oexhaust) ).

fof(fact_301_prod_Oexhaust,axiom,
    ! [Y_4] :
      ~ ! [A_1,B_2] : Y_4 != hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,A_1),B_2),
    file('theBenchmark.p',fact_301_prod_Oexhaust) ).

fof(fact_302_prod_Oexhaust,axiom,
    ! [Y_4] :
      ~ ! [A_1,B_2] : Y_4 != hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,A_1),B_2),
    file('theBenchmark.p',fact_302_prod_Oexhaust) ).

fof(fact_303_prod_Oexhaust,axiom,
    ! [Y_4] :
      ~ ! [A_1,B_2] : Y_4 != hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,A_1),B_2),
    file('theBenchmark.p',fact_303_prod_Oexhaust) ).

fof(fact_304_prod_Oexhaust,axiom,
    ! [Y_4] :
      ~ ! [A_1,B_2] : Y_4 != hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,A_1),B_2),
    file('theBenchmark.p',fact_304_prod_Oexhaust) ).

fof(fact_305_prod_Oexhaust,axiom,
    ! [Y_4] :
      ~ ! [A_1,B_2] : Y_4 != hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,A_1),B_2),
    file('theBenchmark.p',fact_305_prod_Oexhaust) ).

fof(fact_306_prod_Oexhaust,axiom,
    ! [Y_2] :
      ~ ! [A_1,B_2] : Y_2 != hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,A_1),B_2),
    file('theBenchmark.p',fact_306_prod_Oexhaust) ).

fof(fact_307_prod_Oexhaust,axiom,
    ! [Y_2] :
      ~ ! [A_1,B_2] : Y_2 != hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A_1),B_2),
    file('theBenchmark.p',fact_307_prod_Oexhaust) ).

fof(fact_308_prod_Oexhaust,axiom,
    ! [Y_4] :
      ~ ! [A_1,B_2] : Y_4 != hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A_1),B_2),
    file('theBenchmark.p',fact_308_prod_Oexhaust) ).

fof(fact_309_prod_Oexhaust,axiom,
    ! [Y_4] :
      ~ ! [A_1,B_2] :
          ( is_bop(A_1)
         => Y_4 != hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,A_1),B_2) ),
    file('theBenchmark.p',fact_309_prod_Oexhaust) ).

fof(fact_310_prod_Oexhaust,axiom,
    ! [Y_4] :
      ~ ! [A_1,B_2] : Y_4 != hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A_1),B_2),
    file('theBenchmark.p',fact_310_prod_Oexhaust) ).

fof(fact_311_prod_Oexhaust,axiom,
    ! [Y_2] :
      ~ ! [A_1,B_2] : Y_2 != hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,A_1),B_2),
    file('theBenchmark.p',fact_311_prod_Oexhaust) ).

fof(fact_312_prod_Oexhaust,axiom,
    ! [Y_2] :
      ~ ! [A_1,B_2] : Y_2 != hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A_1),B_2),
    file('theBenchmark.p',fact_312_prod_Oexhaust) ).

fof(fact_313_prod_Oexhaust,axiom,
    ! [Y_2] :
      ~ ! [A_1,B_2] : Y_2 != hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A_1),B_2),
    file('theBenchmark.p',fact_313_prod_Oexhaust) ).

fof(fact_314_prod_Oexhaust,axiom,
    ! [Y_2] :
      ~ ! [A_1,B_2] : Y_2 != hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_1),B_2),
    file('theBenchmark.p',fact_314_prod_Oexhaust) ).

fof(fact_315_PairE,axiom,
    ! [P_3] :
      ~ ! [X_1,Y_1] : P_3 != hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,X_1),Y_1),
    file('theBenchmark.p',fact_315_PairE) ).

fof(fact_316_PairE,axiom,
    ! [P_3] :
      ~ ! [X_1,Y_1] : P_3 != hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,X_1),Y_1),
    file('theBenchmark.p',fact_316_PairE) ).

fof(fact_317_PairE,axiom,
    ! [P_3] :
      ~ ! [X_1,Y_1] : P_3 != hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,X_1),Y_1),
    file('theBenchmark.p',fact_317_PairE) ).

fof(fact_318_PairE,axiom,
    ! [P_3] :
      ~ ! [X_1,Y_1] : P_3 != hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,X_1),Y_1),
    file('theBenchmark.p',fact_318_PairE) ).

fof(fact_319_PairE,axiom,
    ! [P_3] :
      ~ ! [X_1,Y_1] : P_3 != hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,X_1),Y_1),
    file('theBenchmark.p',fact_319_PairE) ).

fof(fact_320_PairE,axiom,
    ! [P_3] :
      ~ ! [X_1,Y_1] : P_3 != hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,X_1),Y_1),
    file('theBenchmark.p',fact_320_PairE) ).

fof(fact_321_PairE,axiom,
    ! [P_3] :
      ~ ! [X_1,Y_1] : P_3 != hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,X_1),Y_1),
    file('theBenchmark.p',fact_321_PairE) ).

fof(fact_322_PairE,axiom,
    ! [P_1] :
      ~ ! [X_1,Y_1] : P_1 != hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,X_1),Y_1),
    file('theBenchmark.p',fact_322_PairE) ).

fof(fact_323_PairE,axiom,
    ! [P_1] :
      ~ ! [X_1,Y_1] : P_1 != hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,X_1),Y_1),
    file('theBenchmark.p',fact_323_PairE) ).

fof(fact_324_PairE,axiom,
    ! [P_3] :
      ~ ! [X_1,Y_1] : P_3 != hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,X_1),Y_1),
    file('theBenchmark.p',fact_324_PairE) ).

fof(fact_325_PairE,axiom,
    ! [P_3] :
      ~ ! [X_1,Y_1] :
          ( is_bop(X_1)
         => P_3 != hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,X_1),Y_1) ),
    file('theBenchmark.p',fact_325_PairE) ).

fof(fact_326_PairE,axiom,
    ! [P_3] :
      ~ ! [X_1,Y_1] : P_3 != hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,X_1),Y_1),
    file('theBenchmark.p',fact_326_PairE) ).

fof(fact_327_PairE,axiom,
    ! [P_1] :
      ~ ! [X_1,Y_1] : P_1 != hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,X_1),Y_1),
    file('theBenchmark.p',fact_327_PairE) ).

fof(fact_328_PairE,axiom,
    ! [P_1] :
      ~ ! [X_1,Y_1] : P_1 != hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,X_1),Y_1),
    file('theBenchmark.p',fact_328_PairE) ).

fof(fact_329_PairE,axiom,
    ! [P_1] :
      ~ ! [X_1,Y_1] : P_1 != hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,X_1),Y_1),
    file('theBenchmark.p',fact_329_PairE) ).

fof(fact_330_PairE,axiom,
    ! [P_1] :
      ~ ! [X_1,Y_1] : P_1 != hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,X_1),Y_1),
    file('theBenchmark.p',fact_330_PairE) ).

fof(fact_331_split__paired__Ex,axiom,
    ! [Pa] :
      ( ? [X1] : hBOOL(hAPP_P2014166431r_bool(Pa,X1))
    <=> ? [A_1,B_2] : hBOOL(hAPP_P2014166431r_bool(Pa,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,A_1),B_2))) ),
    file('theBenchmark.p',fact_331_split__paired__Ex) ).

fof(fact_332_split__paired__Ex,axiom,
    ! [Pa] :
      ( ? [X1] : hBOOL(hAPP_P828904212r_bool(Pa,X1))
    <=> ? [A_1,B_2] : hBOOL(hAPP_P828904212r_bool(Pa,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,A_1),B_2))) ),
    file('theBenchmark.p',fact_332_split__paired__Ex) ).

fof(fact_333_split__paired__Ex,axiom,
    ! [Pa] :
      ( ? [X1] : hBOOL(hAPP_P659547099r_bool(Pa,X1))
    <=> ? [A_1,B_2] : hBOOL(hAPP_P659547099r_bool(Pa,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,A_1),B_2))) ),
    file('theBenchmark.p',fact_333_split__paired__Ex) ).

fof(fact_334_split__paired__Ex,axiom,
    ! [Pa] :
      ( ? [X1] : hBOOL(hAPP_P1680401186r_bool(Pa,X1))
    <=> ? [A_1,B_2] : hBOOL(hAPP_P1680401186r_bool(Pa,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,A_1),B_2))) ),
    file('theBenchmark.p',fact_334_split__paired__Ex) ).

fof(fact_335_split__paired__Ex,axiom,
    ! [Pa] :
      ( ? [X1] : hBOOL(hAPP_P2118621157r_bool(Pa,X1))
    <=> ? [A_1,B_2] : hBOOL(hAPP_P2118621157r_bool(Pa,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,A_1),B_2))) ),
    file('theBenchmark.p',fact_335_split__paired__Ex) ).

fof(fact_336_split__paired__Ex,axiom,
    ! [Pa] :
      ( ? [X1] : hBOOL(hAPP_P1907982426r_bool(Pa,X1))
    <=> ? [A_1,B_2] : hBOOL(hAPP_P1907982426r_bool(Pa,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,A_1),B_2))) ),
    file('theBenchmark.p',fact_336_split__paired__Ex) ).

fof(fact_337_split__paired__Ex,axiom,
    ! [Pa] :
      ( ? [X1] : hBOOL(hAPP_P92196306r_bool(Pa,X1))
    <=> ? [A_1,B_2] : hBOOL(hAPP_P92196306r_bool(Pa,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,A_1),B_2))) ),
    file('theBenchmark.p',fact_337_split__paired__Ex) ).

fof(fact_338_split__paired__Ex,axiom,
    ! [Pa] :
      ( ? [X1] : hBOOL(hAPP_P71593144l_bool(Pa,X1))
    <=> ? [A_1,B_2] : hBOOL(hAPP_P71593144l_bool(Pa,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,A_1),B_2))) ),
    file('theBenchmark.p',fact_338_split__paired__Ex) ).

fof(fact_339_split__paired__Ex,axiom,
    ! [Pa] :
      ( ? [X1] : hBOOL(hAPP_P1333315679l_bool(Pa,X1))
    <=> ? [A_1,B_2] : hBOOL(hAPP_P1333315679l_bool(Pa,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A_1),B_2))) ),
    file('theBenchmark.p',fact_339_split__paired__Ex) ).

fof(fact_340_split__paired__Ex,axiom,
    ! [Pa] :
      ( ? [X1] : hBOOL(hAPP_P929938951l_bool(Pa,X1))
    <=> ? [A_1,B_2] : hBOOL(hAPP_P929938951l_bool(Pa,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A_1),B_2))) ),
    file('theBenchmark.p',fact_340_split__paired__Ex) ).

fof(fact_341_split__paired__Ex,axiom,
    ! [Pa] :
      ( ? [X1] : hBOOL(hAPP_P943837928l_bool(Pa,X1))
    <=> ? [A_1,B_2] :
          ( hBOOL(hAPP_P943837928l_bool(Pa,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,A_1),B_2)))
          & is_bop(A_1) ) ),
    file('theBenchmark.p',fact_341_split__paired__Ex) ).

fof(fact_342_split__paired__Ex,axiom,
    ! [Pa] :
      ( ? [X1] : hBOOL(hAPP_P449474095r_bool(Pa,X1))
    <=> ? [A_1,B_2] : hBOOL(hAPP_P449474095r_bool(Pa,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A_1),B_2))) ),
    file('theBenchmark.p',fact_342_split__paired__Ex) ).

fof(fact_343_split__paired__Ex,axiom,
    ! [Pa] :
      ( ? [X1] : hBOOL(hAPP_P1235399154l_bool(Pa,X1))
    <=> ? [A_1,B_2] : hBOOL(hAPP_P1235399154l_bool(Pa,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,A_1),B_2))) ),
    file('theBenchmark.p',fact_343_split__paired__Ex) ).

fof(fact_344_split__paired__Ex,axiom,
    ! [Pa] :
      ( ? [X1] : hBOOL(hAPP_P159683425l_bool(Pa,X1))
    <=> ? [A_1,B_2] : hBOOL(hAPP_P159683425l_bool(Pa,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A_1),B_2))) ),
    file('theBenchmark.p',fact_344_split__paired__Ex) ).

fof(fact_345_split__paired__Ex,axiom,
    ! [Pa] :
      ( ? [X1] : hBOOL(hAPP_P1708370145l_bool(Pa,X1))
    <=> ? [A_1,B_2] : hBOOL(hAPP_P1708370145l_bool(Pa,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A_1),B_2))) ),
    file('theBenchmark.p',fact_345_split__paired__Ex) ).

fof(fact_346_split__paired__Ex,axiom,
    ! [Pa] :
      ( ? [X1] : hBOOL(hAPP_P282169671l_bool(Pa,X1))
    <=> ? [A_1,B_2] : hBOOL(hAPP_P282169671l_bool(Pa,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_1),B_2))) ),
    file('theBenchmark.p',fact_346_split__paired__Ex) ).

fof(fact_347_widen__trans,axiom,
    ! [T_6,P_2,S_6,U_1] :
      ( hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(P_2),S_6),U_1))
     => ( hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(P_2),U_1),T_6))
       => hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(P_2),S_6),T_6)) ) ),
    file('theBenchmark.p',fact_347_widen__trans) ).

fof(fact_348_InitBlockRed_I5_J,axiom,
    hBOOL(wTrt_1(p,ha,e,block_list_char(v_1,t_1,seq_list_char(lAss_list_char(v_1,hAPP_v834067052t_char(val_list_char,v)),ea)),t)),
    file('theBenchmark.p',fact_348_InitBlockRed_I5_J) ).

fof(fact_349_sconf__def,axiom,
    ! [Pa,Ea,S] :
      ( hBOOL(hAPP_P159683425l_bool(typeSa1700205512_sconf(Pa,Ea),S))
    <=> hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,cOMBS_570216337l_bool(hAPP_f1523875321l_bool(hAPP_f592397849l_bool(cOMBB_1718333400on_val,cOMBB_383678192on_val),hAPP_f1452292669l_bool(hAPP_f1977633121l_bool(cOMBB_1303934920on_val,fconj),hconf_97414254t_char(Pa))),hAPP_f550652027l_bool(hAPP_f838396643l_bool(cOMBC_2027949654l_bool,hAPP_f857351829l_bool(hAPP_f348318673l_bool(cOMBB_1518282696on_val,cOMBC_832625297y_bool),lconf_496643946t_char(Pa))),Ea))),S)) ),
    file('theBenchmark.p',fact_349_sconf__def) ).

fof(fact_350_red__hext__incr,axiom,
    ! [Eb,Hb,Lb,E_b,H_b,L_b,Pa] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),L_b)))),red(Pa)))
     => hBOOL(hext(Hb,H_b)) ),
    file('theBenchmark.p',fact_350_red__hext__incr) ).

fof(fact_351_red__preserves__defass,axiom,
    ! [Eb,Hb,Lb,E_b,H_b,L_b,Pa] :
      ( hBOOL(wf_pro755087577t_char(wf_J_mdecl,Pa))
     => ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),L_b)))),red(Pa)))
       => ( hBOOL(d_list_char(Eb,hAPP_f363827556r_bool(some_f80346385r_bool,dom_list_char_val(Lb))))
         => hBOOL(d_list_char(E_b,hAPP_f363827556r_bool(some_f80346385r_bool,dom_list_char_val(L_b)))) ) ) ),
    file('theBenchmark.p',fact_351_red__preserves__defass) ).

fof(fact_352_option_Oinject,axiom,
    ! [A,A_3] :
      ( hAPP_nat_option_nat(some_nat,A) = hAPP_nat_option_nat(some_nat,A_3)
    <=> A = A_3 ),
    file('theBenchmark.p',fact_352_option_Oinject) ).

fof(fact_353_option_Oinject,axiom,
    ! [A,A_3] :
      ( hAPP_P1510515380on_val(some_P948696889on_val,A) = hAPP_P1510515380on_val(some_P948696889on_val,A_3)
    <=> A = A_3 ),
    file('theBenchmark.p',fact_353_option_Oinject) ).

fof(fact_354_option_Oinject,axiom,
    ! [A,A_3] :
      ( hAPP_ty_option_ty(some_ty,A) = hAPP_ty_option_ty(some_ty,A_3)
    <=> A = A_3 ),
    file('theBenchmark.p',fact_354_option_Oinject) ).

fof(fact_355_option_Oinject,axiom,
    ! [A,A_3] :
      ( hAPP_f363827556r_bool(some_f80346385r_bool,A) = hAPP_f363827556r_bool(some_f80346385r_bool,A_3)
    <=> A = A_3 ),
    file('theBenchmark.p',fact_355_option_Oinject) ).

fof(fact_356_option_Oinject,axiom,
    ! [A,A_3] :
      ( hAPP_val_option_val(some_val,A) = hAPP_val_option_val(some_val,A_3)
    <=> A = A_3 ),
    file('theBenchmark.p',fact_356_option_Oinject) ).

fof(fact_357_curryI,axiom,
    ! [F_1,A,B] :
      ( hBOOL(hAPP_P2014166431r_bool(F_1,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,A),B)))
     => hBOOL(hAPP_e544220455r_bool(hAPP_l214204733r_bool(produc288369490r_bool(F_1),A),B)) ),
    file('theBenchmark.p',fact_357_curryI) ).

fof(fact_358_curryI,axiom,
    ! [F_1,A,B] :
      ( hBOOL(hAPP_P828904212r_bool(F_1,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,A),B)))
     => hBOOL(hAPP_l902158906r_bool(hAPP_l24694616r_bool(produc2116052801r_bool(F_1),A),B)) ),
    file('theBenchmark.p',fact_358_curryI) ).

fof(fact_359_curryI,axiom,
    ! [F_1,A,B] :
      ( hBOOL(hAPP_P659547099r_bool(F_1,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,A),B)))
     => hBOOL(hAPP_P828904212r_bool(hAPP_l1342015621r_bool(produc266042248r_bool(F_1),A),B)) ),
    file('theBenchmark.p',fact_359_curryI) ).

fof(fact_360_curryI,axiom,
    ! [F_1,A,B] :
      ( hBOOL(hAPP_P1680401186r_bool(F_1,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,A),B)))
     => hBOOL(hAPP_P659547099r_bool(hAPP_l2140727500r_bool(produc1588781647r_bool(F_1),A),B)) ),
    file('theBenchmark.p',fact_360_curryI) ).

fof(fact_361_curryI,axiom,
    ! [F_1,A,B] :
      ( hBOOL(hAPP_P2118621157r_bool(F_1,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,A),B)))
     => hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(produc550034914r_bool(F_1),A),B)) ),
    file('theBenchmark.p',fact_361_curryI) ).

fof(fact_362_curryI,axiom,
    ! [F_1,A,B] :
      ( hBOOL(hAPP_P1907982426r_bool(F_1,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,A),B)))
     => hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(produc156891095r_bool(F_1),A),B)) ),
    file('theBenchmark.p',fact_362_curryI) ).

fof(fact_363_curryI,axiom,
    ! [F_1,A,B] :
      ( hBOOL(hAPP_P92196306r_bool(F_1,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,A),B)))
     => hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(produc1574020101r_bool(F_1),A),B)) ),
    file('theBenchmark.p',fact_363_curryI) ).

fof(fact_364_curryI,axiom,
    ! [F_1,A,B] :
      ( hBOOL(hAPP_P71593144l_bool(F_1,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,A),B)))
     => hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(produc1838470831l_bool(F_1),A),B)) ),
    file('theBenchmark.p',fact_364_curryI) ).

fof(fact_365_curryI,axiom,
    ! [F_1,A,B] :
      ( hBOOL(hAPP_P1333315679l_bool(F_1,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A),B)))
     => hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(produc2053127004l_bool(F_1),A),B)) ),
    file('theBenchmark.p',fact_365_curryI) ).

fof(fact_366_curryI,axiom,
    ! [F_1,A,B] :
      ( hBOOL(hAPP_P929938951l_bool(F_1,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A),B)))
     => hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(produc886919678l_bool(F_1),A),B)) ),
    file('theBenchmark.p',fact_366_curryI) ).

fof(fact_367_curryI,axiom,
    ! [F_1,A,B] :
      ( hBOOL(hAPP_P943837928l_bool(F_1,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,A),B)))
     => hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(produc1555310053l_bool(F_1),A),B)) ),
    file('theBenchmark.p',fact_367_curryI) ).

fof(fact_368_curryI,axiom,
    ! [F_1,A,B] :
      ( hBOOL(hAPP_P449474095r_bool(F_1,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A),B)))
     => hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(produc95371820r_bool(F_1),A),B)) ),
    file('theBenchmark.p',fact_368_curryI) ).

fof(fact_369_curryI,axiom,
    ! [F_1,A,B] :
      ( hBOOL(hAPP_P1235399154l_bool(F_1,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,A),B)))
     => hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(produc481748255l_bool(F_1),A),B)) ),
    file('theBenchmark.p',fact_369_curryI) ).

fof(fact_370_curryI,axiom,
    ! [F_1,A,B] :
      ( hBOOL(hAPP_P159683425l_bool(F_1,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A),B)))
     => hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(produc2062775566l_bool(F_1),A),B)) ),
    file('theBenchmark.p',fact_370_curryI) ).

fof(fact_371_curryI,axiom,
    ! [F_1,A,B] :
      ( hBOOL(hAPP_P1708370145l_bool(F_1,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A),B)))
     => hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(produc1911975310l_bool(F_1),A),B)) ),
    file('theBenchmark.p',fact_371_curryI) ).

fof(fact_372_curryI,axiom,
    ! [F_1,A,B] :
      ( hBOOL(hAPP_P282169671l_bool(F_1,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A),B)))
     => hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(produc1159035454l_bool(F_1),A),B)) ),
    file('theBenchmark.p',fact_372_curryI) ).

fof(fact_373_red__lcl__add,axiom,
    ! [L_0,Eb,Hb,Lb,E_b,H_b,L_b,Pa] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),L_b)))),red(Pa)))
     => hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),map_ad325961431ar_val(L_0,Lb)))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),map_ad325961431ar_val(L_0,L_b))))),red(Pa))) ),
    file('theBenchmark.p',fact_373_red__lcl__add) ).

fof(fact_374_lconf__upd,axiom,
    ! [Va_1,Va,Ta,Pa,Hb,Lb,Ea] :
      ( hBOOL(hAPP_f1001225811y_bool(hAPP_f2060496320y_bool(hAPP_f1213370163y_bool(lconf_496643946t_char(Pa),Hb),Lb),Ea))
     => ( hBOOL(conf_P373316194t_char(Pa,Hb,Va,Ta))
       => ( hAPP_l512744617ion_ty(Ea,Va_1) = hAPP_ty_option_ty(some_ty,Ta)
         => hBOOL(hAPP_f1001225811y_bool(hAPP_f2060496320y_bool(hAPP_f1213370163y_bool(lconf_496643946t_char(Pa),Hb),fun_up1149430426on_val(Lb,Va_1,hAPP_val_option_val(some_val,Va))),Ea)) ) ) ),
    file('theBenchmark.p',fact_374_lconf__upd) ).

fof(fact_375_lconf__upd2,axiom,
    ! [Va_1,Va,Ta,Pa,Hb,Lb,Ea] :
      ( hBOOL(hAPP_f1001225811y_bool(hAPP_f2060496320y_bool(hAPP_f1213370163y_bool(lconf_496643946t_char(Pa),Hb),Lb),Ea))
     => ( hBOOL(conf_P373316194t_char(Pa,Hb,Va,Ta))
       => hBOOL(hAPP_f1001225811y_bool(hAPP_f2060496320y_bool(hAPP_f1213370163y_bool(lconf_496643946t_char(Pa),Hb),fun_up1149430426on_val(Lb,Va_1,hAPP_val_option_val(some_val,Va))),fun_up424764369ion_ty(Ea,Va_1,hAPP_ty_option_ty(some_ty,Ta)))) ) ),
    file('theBenchmark.p',fact_375_lconf__upd2) ).

fof(fact_376_in__lex__prod,axiom,
    ! [A,B,A_3,B_3,R_1,S] :
      ( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,A),B)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,A_3),B_3))),lex_pr1541028704on_val(R_1,S)))
    <=> ( ( hBOOL(hAPP_f1297673713l_bool(hAPP_P240409993l_bool(member563141460on_val,hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,B),B_3)),S))
          & A = A_3 )
        | hBOOL(hAPP_f1734260017l_bool(hAPP_P53416969l_bool(member894971540t_char,hAPP_l1648260346t_char(hAPP_l1105836155t_char(produc1237966615t_char,A),A_3)),R_1)) ) ),
    file('theBenchmark.p',fact_376_in__lex__prod) ).

fof(fact_377_in__lex__prod,axiom,
    ! [A,B,A_3,B_3,R_1,S] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A),B)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A_3),B_3))),lex_pr69619957on_val(R_1,S)))
    <=> ( ( hBOOL(hAPP_f1297673713l_bool(hAPP_P240409993l_bool(member563141460on_val,hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,B),B_3)),S))
          & A = A_3 )
        | hBOOL(hAPP_f588675559l_bool(hAPP_P1860450421l_bool(member1199939018t_char,hAPP_e817857447t_char(hAPP_e1376201919t_char(produc943465171t_char,A),A_3)),R_1)) ) ),
    file('theBenchmark.p',fact_377_in__lex__prod) ).

fof(fact_378_in__lex__prod,axiom,
    ! [A,B,A_3,B_3,R_1,S] :
      ( hBOOL(hAPP_f595031537l_bool(hAPP_P1862681481l_bool(member1999287380t_char,hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,A),B)),hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,A_3),B_3))),lex_pr1787105337t_char(R_1,S)))
    <=> ( ( hBOOL(hAPP_f588675559l_bool(hAPP_P1860450421l_bool(member1199939018t_char,hAPP_e817857447t_char(hAPP_e1376201919t_char(produc943465171t_char,B),B_3)),S))
          & A = A_3 )
        | hBOOL(hAPP_f479632753l_bool(hAPP_P153687689l_bool(member817832404t_char,hAPP_l1883348915t_char(hAPP_l2019537453t_char(produc2035944023t_char,A),A_3)),R_1)) ) ),
    file('theBenchmark.p',fact_378_in__lex__prod) ).

fof(fact_379_in__lex__prod,axiom,
    ! [A,B,A_3,B_3,R_1,S] :
      ( hBOOL(hAPP_f126445617l_bool(hAPP_P1313790473l_bool(member1551446420t_char,hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,A),B)),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,A_3),B_3))),lex_pr213428520t_char(R_1,S)))
    <=> ( ( hBOOL(hAPP_f1748390065l_bool(hAPP_P1503283977l_bool(member1580476948t_char,hAPP_l1334098948t_char(hAPP_l1450984463t_char(produc436875159t_char,B),B_3)),S))
          & A = A_3 )
        | hBOOL(hAPP_f288221747l_bool(hAPP_P569585933l_bool(member520253462har_ty,hAPP_l1294856089har_ty(hAPP_l1657578379har_ty(produc1860789535har_ty,A),A_3)),R_1)) ) ),
    file('theBenchmark.p',fact_379_in__lex__prod) ).

fof(fact_380_in__lex__prod,axiom,
    ! [A,B,A_3,B_3,R_1,S] :
      ( hBOOL(hAPP_f272179441l_bool(hAPP_P396425609l_bool(member1607118676t_char,hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,A),B)),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,A_3),B_3))),lex_pr167435119t_char(R_1,S)))
    <=> ( ( hBOOL(hAPP_f126445617l_bool(hAPP_P1313790473l_bool(member1551446420t_char,hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,B),B_3)),S))
          & A = A_3 )
        | hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A),A_3)),R_1)) ) ),
    file('theBenchmark.p',fact_380_in__lex__prod) ).

fof(fact_381_in__lex__prod,axiom,
    ! [A,B,A_3,B_3,R_1,S] :
      ( hBOOL(hAPP_f538118321l_bool(hAPP_P1390376713l_bool(member162552852t_char,hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,A),B)),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,A_3),B_3))),lex_pr1668767798t_char(R_1,S)))
    <=> ( ( hBOOL(hAPP_f272179441l_bool(hAPP_P396425609l_bool(member1607118676t_char,hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,B),B_3)),S))
          & A = A_3 )
        | hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A),A_3)),R_1)) ) ),
    file('theBenchmark.p',fact_381_in__lex__prod) ).

fof(fact_382_in__lex__prod,axiom,
    ! [A,B,A_3,B_3,R_1,S] :
      ( hBOOL(hAPP_f1145574243l_bool(hAPP_P2139822957l_bool(member1161907014t_char,hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,A),B)),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,A_3),B_3))),lex_pr307591827t_char(R_1,S)))
    <=> ( ( hBOOL(hAPP_f588675559l_bool(hAPP_P1860450421l_bool(member1199939018t_char,hAPP_e817857447t_char(hAPP_e1376201919t_char(produc943465171t_char,B),B_3)),S))
          & A = A_3 )
        | hBOOL(hAPP_f348753975l_bool(hAPP_P1033205013l_bool(member273646106st_val,hAPP_l1249476511st_val(hAPP_l103437071st_val(produc2078839843st_val,A),A_3)),R_1)) ) ),
    file('theBenchmark.p',fact_382_in__lex__prod) ).

fof(fact_383_in__lex__prod,axiom,
    ! [A,B,A_3,B_3,R_1,S] :
      ( hBOOL(hAPP_f258424141l_bool(hAPP_P409642305l_bool(member125098544t_char,hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,A),B)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,A_3),B_3))),lex_pr1588300168t_char(R_1,S)))
    <=> ( ( hBOOL(hAPP_f1145574243l_bool(hAPP_P2139822957l_bool(member1161907014t_char,hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,B),B_3)),S))
          & A = A_3 )
        | hBOOL(hAPP_f433445541l_bool(hAPP_P1019319281l_bool(member104734088ist_ty,hAPP_l1319068228ist_ty(hAPP_l1770520637ist_ty(produc512429457ist_ty,A),A_3)),R_1)) ) ),
    file('theBenchmark.p',fact_383_in__lex__prod) ).

fof(fact_384_in__lex__prod,axiom,
    ! [A,B,A_3,B_3,R_1,S] :
      ( hBOOL(hAPP_f528956081l_bool(hAPP_P325013257l_bool(member1420286996t_char,hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,A),B)),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,A_3),B_3))),lex_pr1876288492t_char(R_1,S)))
    <=> ( ( hBOOL(hAPP_f258424141l_bool(hAPP_P409642305l_bool(member125098544t_char,hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,B),B_3)),S))
          & A = A_3 )
        | hBOOL(hAPP_f479632753l_bool(hAPP_P153687689l_bool(member817832404t_char,hAPP_l1883348915t_char(hAPP_l2019537453t_char(produc2035944023t_char,A),A_3)),R_1)) ) ),
    file('theBenchmark.p',fact_384_in__lex__prod) ).

fof(fact_385_in__lex__prod,axiom,
    ! [A,B,A_3,B_3,R_1,S] :
      ( hBOOL(hAPP_f1980787287l_bool(hAPP_P274544981l_bool(member88670778on_val,hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A),B)),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A_3),B_3))),lex_pr2110711565on_val(R_1,S)))
    <=> ( ( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,B),B_3)),S))
          & A = A_3 )
        | hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A),A_3)),R_1)) ) ),
    file('theBenchmark.p',fact_385_in__lex__prod) ).

fof(fact_386_in__lex__prod,axiom,
    ! [A,B,A_3,B_3,R_1,S] :
      ( hBOOL(hAPP_f2129782055l_bool(hAPP_P124661l_bool(member837208074al_val,hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A),B)),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A_3),B_3))),lex_prod_val_val(R_1,S)))
    <=> ( ( hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,B),B_3)),S))
          & A = A_3 )
        | hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A),A_3)),R_1)) ) ),
    file('theBenchmark.p',fact_386_in__lex__prod) ).

fof(fact_387_in__lex__prod,axiom,
    ! [A,B,A_3,B_3,R_1,S] :
      ( ( is_bop(A_3)
        & is_bop(A) )
     => ( hBOOL(hAPP_f126136681l_bool(hAPP_P982127993l_bool(member1732271180al_val,hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,A),B)),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,A_3),B_3))),lex_pr1932514710al_val(R_1,S)))
      <=> ( ( hBOOL(hAPP_f2129782055l_bool(hAPP_P124661l_bool(member837208074al_val,hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,B),B_3)),S))
            & A = A_3 )
          | hBOOL(hAPP_f1854361213l_bool(hAPP_P1034346913l_bool(member978285664op_bop,hAPP_b1909667208op_bop(hAPP_b1058859669op_bop(product_Pair_bop_bop,A),A_3)),R_1)) ) ) ),
    file('theBenchmark.p',fact_387_in__lex__prod) ).

fof(fact_388_in__lex__prod,axiom,
    ! [A,B,A_3,B_3,R_1,S] :
      ( hBOOL(hAPP_f851858423l_bool(hAPP_P786771093l_bool(member794220506t_char,hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A),B)),hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A_3),B_3))),lex_pr280535005t_char(R_1,S)))
    <=> ( ( hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,B),B_3)),S))
          & A = A_3 )
        | hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A),A_3)),R_1)) ) ),
    file('theBenchmark.p',fact_388_in__lex__prod) ).

fof(fact_389_in__lex__prod,axiom,
    ! [A,B,A_3,B_3,R_1,S] :
      ( hBOOL(hAPP_f665343921l_bool(hAPP_P502294281l_bool(member1322055188on_val,hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,A),B)),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,A_3),B_3))),lex_pr1971266694on_val(R_1,S)))
    <=> ( ( hBOOL(hAPP_f983152497l_bool(hAPP_P1953134729l_bool(member781783252on_val,hAPP_f1146435765on_val(hAPP_f1744304433on_val(produc1618304727on_val,B),B_3)),S))
          & A = A_3 )
        | hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A),A_3)),R_1)) ) ),
    file('theBenchmark.p',fact_389_in__lex__prod) ).

fof(fact_390_in__lex__prod,axiom,
    ! [A,B,A_3,B_3,R_1,S] :
      ( hBOOL(hAPP_f1297673713l_bool(hAPP_P240409993l_bool(member563141460on_val,hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A),B)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A_3),B_3))),lex_pr731210613on_val(R_1,S)))
    <=> ( ( hBOOL(hAPP_f1661305905l_bool(hAPP_P1878549513l_bool(member490182804on_val,hAPP_f1741070310on_val(hAPP_f864891091on_val(produc1960514199on_val,B),B_3)),S))
          & A = A_3 )
        | hBOOL(hAPP_f1754555101l_bool(hAPP_P1679186017l_bool(member1337019328on_val,hAPP_f368284312on_val(hAPP_f1805337205on_val(produc1712663241on_val,A),A_3)),R_1)) ) ),
    file('theBenchmark.p',fact_390_in__lex__prod) ).

fof(fact_391_in__lex__prod,axiom,
    ! [A,B,A_3,B_3,R_1,S] :
      ( hBOOL(hAPP_f1261741735l_bool(hAPP_P1362631157l_bool(member808015754on_val,hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A),B)),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_3),B_3))),lex_pr1038007919on_val(R_1,S)))
    <=> ( ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,B),B_3)),S))
          & A = A_3 )
        | hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A),A_3)),R_1)) ) ),
    file('theBenchmark.p',fact_391_in__lex__prod) ).

fof(fact_392_prod__caseI,axiom,
    ! [F1,A,B] :
      ( hBOOL(hAPP_e544220455r_bool(hAPP_l214204733r_bool(F1,A),B))
     => hBOOL(hAPP_P2014166431r_bool(hAPP_f1484794973r_bool(produc1732333873r_bool,F1),hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,A),B))) ),
    file('theBenchmark.p',fact_392_prod__caseI) ).

fof(fact_393_prod__caseI,axiom,
    ! [F1,A,B] :
      ( hBOOL(hAPP_l902158906r_bool(hAPP_l24694616r_bool(F1,A),B))
     => hBOOL(hAPP_P828904212r_bool(hAPP_f895126887r_bool(produc1596557472r_bool,F1),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,A),B))) ),
    file('theBenchmark.p',fact_393_prod__caseI) ).

fof(fact_394_prod__caseI,axiom,
    ! [F1,A,B] :
      ( hBOOL(hAPP_P828904212r_bool(hAPP_l1342015621r_bool(F1,A),B))
     => hBOOL(hAPP_P659547099r_bool(hAPP_f252398939r_bool(produc1324280167r_bool,F1),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,A),B))) ),
    file('theBenchmark.p',fact_394_prod__caseI) ).

fof(fact_395_prod__caseI,axiom,
    ! [F1,A,B] :
      ( hBOOL(hAPP_P659547099r_bool(hAPP_l2140727500r_bool(F1,A),B))
     => hBOOL(hAPP_P1680401186r_bool(hAPP_f952817385r_bool(produc723279022r_bool,F1),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,A),B))) ),
    file('theBenchmark.p',fact_395_prod__caseI) ).

fof(fact_396_prod__caseI,axiom,
    ! [F1,A,B] :
      ( hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(F1,A),B))
     => hBOOL(hAPP_P2118621157r_bool(hAPP_f1697332217r_bool(produc21910851r_bool,F1),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,A),B))) ),
    file('theBenchmark.p',fact_396_prod__caseI) ).

fof(fact_397_prod__caseI,axiom,
    ! [F1,A,B] :
      ( hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(F1,A),B))
     => hBOOL(hAPP_P1907982426r_bool(hAPP_f102021095r_bool(produc154616760r_bool,F1),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,A),B))) ),
    file('theBenchmark.p',fact_397_prod__caseI) ).

fof(fact_398_prod__caseI,axiom,
    ! [F1,A,B] :
      ( hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(F1,A),B))
     => hBOOL(hAPP_P92196306r_bool(hAPP_f1613448899r_bool(produc2027921764r_bool,F1),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,A),B))) ),
    file('theBenchmark.p',fact_398_prod__caseI) ).

fof(fact_399_prod__caseI,axiom,
    ! [F1,A,B] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(F1,A),B))
     => hBOOL(hAPP_P71593144l_bool(hAPP_f1634841927l_bool(produc1491230096l_bool,F1),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,A),B))) ),
    file('theBenchmark.p',fact_399_prod__caseI) ).

fof(fact_400_prod__caseI,axiom,
    ! [F1,A,B] :
      ( hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(F1,A),B))
     => hBOOL(hAPP_P1333315679l_bool(hAPP_f1525114763l_bool(produc70644925l_bool,F1),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A),B))) ),
    file('theBenchmark.p',fact_400_prod__caseI) ).

fof(fact_401_prod__caseI,axiom,
    ! [F1,A,B] :
      ( hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(F1,A),B))
     => hBOOL(hAPP_P929938951l_bool(hAPP_f1534412387l_bool(produc769963999l_bool,F1),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A),B))) ),
    file('theBenchmark.p',fact_401_prod__caseI) ).

fof(fact_402_prod__caseI,axiom,
    ! [F1,A,B] :
      ( hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(F1,A),B))
     => hBOOL(hAPP_P943837928l_bool(hAPP_f340876351l_bool(produc1326056646l_bool,F1),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,A),B))) ),
    file('theBenchmark.p',fact_402_prod__caseI) ).

fof(fact_403_prod__caseI,axiom,
    ! [F1,A,B] :
      ( hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(F1,A),B))
     => hBOOL(hAPP_P449474095r_bool(hAPP_f2132060507r_bool(produc1704639885r_bool,F1),hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A),B))) ),
    file('theBenchmark.p',fact_403_prod__caseI) ).

fof(fact_404_prod__caseI,axiom,
    ! [F1,A,B] :
      ( hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(F1,A),B))
     => hBOOL(hAPP_P1235399154l_bool(hAPP_f1443410953l_bool(produc392960766l_bool,F1),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,A),B))) ),
    file('theBenchmark.p',fact_404_prod__caseI) ).

fof(fact_405_prod__caseI,axiom,
    ! [F1,A,B] :
      ( hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(F1,A),B))
     => hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,F1),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A),B))) ),
    file('theBenchmark.p',fact_405_prod__caseI) ).

fof(fact_406_prod__caseI,axiom,
    ! [F1,A,B] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(F1,A),B))
     => hBOOL(hAPP_P1708370145l_bool(hAPP_f1930574389l_bool(produc1815960045l_bool,F1),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A),B))) ),
    file('theBenchmark.p',fact_406_prod__caseI) ).

fof(fact_407_prod__caseI,axiom,
    ! [F1,A,B] :
      ( hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(F1,A),B))
     => hBOOL(hAPP_P282169671l_bool(hAPP_f635218277l_bool(produc1911463199l_bool,F1),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A),B))) ),
    file('theBenchmark.p',fact_407_prod__caseI) ).

fof(fact_408_splitI,axiom,
    ! [F_1,A,B] :
      ( hBOOL(hAPP_e544220455r_bool(hAPP_l214204733r_bool(F_1,A),B))
     => hBOOL(hAPP_P2014166431r_bool(hAPP_f1484794973r_bool(produc1732333873r_bool,F_1),hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,A),B))) ),
    file('theBenchmark.p',fact_408_splitI) ).

fof(fact_409_splitI,axiom,
    ! [F_1,A,B] :
      ( hBOOL(hAPP_l902158906r_bool(hAPP_l24694616r_bool(F_1,A),B))
     => hBOOL(hAPP_P828904212r_bool(hAPP_f895126887r_bool(produc1596557472r_bool,F_1),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,A),B))) ),
    file('theBenchmark.p',fact_409_splitI) ).

fof(fact_410_splitI,axiom,
    ! [F_1,A,B] :
      ( hBOOL(hAPP_P828904212r_bool(hAPP_l1342015621r_bool(F_1,A),B))
     => hBOOL(hAPP_P659547099r_bool(hAPP_f252398939r_bool(produc1324280167r_bool,F_1),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,A),B))) ),
    file('theBenchmark.p',fact_410_splitI) ).

fof(fact_411_splitI,axiom,
    ! [F_1,A,B] :
      ( hBOOL(hAPP_P659547099r_bool(hAPP_l2140727500r_bool(F_1,A),B))
     => hBOOL(hAPP_P1680401186r_bool(hAPP_f952817385r_bool(produc723279022r_bool,F_1),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,A),B))) ),
    file('theBenchmark.p',fact_411_splitI) ).

fof(fact_412_splitI,axiom,
    ! [F_1,A,B] :
      ( hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(F_1,A),B))
     => hBOOL(hAPP_P2118621157r_bool(hAPP_f1697332217r_bool(produc21910851r_bool,F_1),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,A),B))) ),
    file('theBenchmark.p',fact_412_splitI) ).

fof(fact_413_splitI,axiom,
    ! [F_1,A,B] :
      ( hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(F_1,A),B))
     => hBOOL(hAPP_P1907982426r_bool(hAPP_f102021095r_bool(produc154616760r_bool,F_1),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,A),B))) ),
    file('theBenchmark.p',fact_413_splitI) ).

fof(fact_414_splitI,axiom,
    ! [F_1,A,B] :
      ( hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(F_1,A),B))
     => hBOOL(hAPP_P92196306r_bool(hAPP_f1613448899r_bool(produc2027921764r_bool,F_1),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,A),B))) ),
    file('theBenchmark.p',fact_414_splitI) ).

fof(fact_415_splitI,axiom,
    ! [F_1,A,B] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(F_1,A),B))
     => hBOOL(hAPP_P71593144l_bool(hAPP_f1634841927l_bool(produc1491230096l_bool,F_1),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,A),B))) ),
    file('theBenchmark.p',fact_415_splitI) ).

fof(fact_416_splitI,axiom,
    ! [F_1,A,B] :
      ( hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(F_1,A),B))
     => hBOOL(hAPP_P1333315679l_bool(hAPP_f1525114763l_bool(produc70644925l_bool,F_1),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A),B))) ),
    file('theBenchmark.p',fact_416_splitI) ).

fof(fact_417_splitI,axiom,
    ! [F_1,A,B] :
      ( hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(F_1,A),B))
     => hBOOL(hAPP_P929938951l_bool(hAPP_f1534412387l_bool(produc769963999l_bool,F_1),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A),B))) ),
    file('theBenchmark.p',fact_417_splitI) ).

fof(fact_418_splitI,axiom,
    ! [F_1,A,B] :
      ( hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(F_1,A),B))
     => hBOOL(hAPP_P943837928l_bool(hAPP_f340876351l_bool(produc1326056646l_bool,F_1),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,A),B))) ),
    file('theBenchmark.p',fact_418_splitI) ).

fof(fact_419_splitI,axiom,
    ! [F_1,A,B] :
      ( hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(F_1,A),B))
     => hBOOL(hAPP_P449474095r_bool(hAPP_f2132060507r_bool(produc1704639885r_bool,F_1),hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A),B))) ),
    file('theBenchmark.p',fact_419_splitI) ).

fof(fact_420_splitI,axiom,
    ! [F_1,A,B] :
      ( hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(F_1,A),B))
     => hBOOL(hAPP_P1235399154l_bool(hAPP_f1443410953l_bool(produc392960766l_bool,F_1),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,A),B))) ),
    file('theBenchmark.p',fact_420_splitI) ).

fof(fact_421_splitI,axiom,
    ! [F_1,A,B] :
      ( hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(F_1,A),B))
     => hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,F_1),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A),B))) ),
    file('theBenchmark.p',fact_421_splitI) ).

fof(fact_422_splitI,axiom,
    ! [F_1,A,B] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(F_1,A),B))
     => hBOOL(hAPP_P1708370145l_bool(hAPP_f1930574389l_bool(produc1815960045l_bool,F_1),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A),B))) ),
    file('theBenchmark.p',fact_422_splitI) ).

fof(fact_423_splitI,axiom,
    ! [F_1,A,B] :
      ( hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(F_1,A),B))
     => hBOOL(hAPP_P282169671l_bool(hAPP_f635218277l_bool(produc1911463199l_bool,F_1),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A),B))) ),
    file('theBenchmark.p',fact_423_splitI) ).

fof(fact_424_map__add__dom__app__simps_I1_J,axiom,
    ! [L1,M_1,L2] :
      ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,M_1),dom_na996029170on_val(L2)))
     => hAPP_n546249108on_val(map_ad61982421on_val(L1,L2),M_1) = hAPP_n546249108on_val(L2,M_1) ),
    file('theBenchmark.p',fact_424_map__add__dom__app__simps_I1_J) ).

fof(fact_425_map__add__dom__app__simps_I1_J,axiom,
    ! [L1,M_1,L2] :
      ( hBOOL(hAPP_f986089162l_bool(hAPP_l1903254203l_bool(member_list_char,M_1),dom_list_char_val(L2)))
     => hAPP_l207779698on_val(map_ad325961431ar_val(L1,L2),M_1) = hAPP_l207779698on_val(L2,M_1) ),
    file('theBenchmark.p',fact_425_map__add__dom__app__simps_I1_J) ).

fof(fact_426_split__weak__cong,axiom,
    ! [C_2,P_1,Q_2] :
      ( P_1 = Q_2
     => hAPP_P1228500987ion_ty(hAPP_f46308763ion_ty(produc907433735ion_ty,C_2),P_1) = hAPP_P1228500987ion_ty(hAPP_f46308763ion_ty(produc907433735ion_ty,C_2),Q_2) ),
    file('theBenchmark.p',fact_426_split__weak__cong) ).

fof(fact_427_split__weak__cong,axiom,
    ! [C_2,P_1,Q_2] :
      ( P_1 = Q_2
     => ( hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,C_2),P_1))
      <=> hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,C_2),Q_2)) ) ),
    file('theBenchmark.p',fact_427_split__weak__cong) ).

fof(fact_428_map__add__dom__app__simps_I3_J,axiom,
    ! [L1,M_1,L2] :
      ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,M_1),dom_na996029170on_val(L2)))
     => hAPP_n546249108on_val(map_ad61982421on_val(L1,L2),M_1) = hAPP_n546249108on_val(L1,M_1) ),
    file('theBenchmark.p',fact_428_map__add__dom__app__simps_I3_J) ).

fof(fact_429_map__add__dom__app__simps_I3_J,axiom,
    ! [L1,M_1,L2] :
      ( ~ hBOOL(hAPP_f986089162l_bool(hAPP_l1903254203l_bool(member_list_char,M_1),dom_list_char_val(L2)))
     => hAPP_l207779698on_val(map_ad325961431ar_val(L1,L2),M_1) = hAPP_l207779698on_val(L1,M_1) ),
    file('theBenchmark.p',fact_429_map__add__dom__app__simps_I3_J) ).

fof(fact_430_map__add__dom__app__simps_I2_J,axiom,
    ! [L2,M_1,L1] :
      ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,M_1),dom_na996029170on_val(L1)))
     => hAPP_n546249108on_val(map_ad61982421on_val(L1,L2),M_1) = hAPP_n546249108on_val(L2,M_1) ),
    file('theBenchmark.p',fact_430_map__add__dom__app__simps_I2_J) ).

fof(fact_431_map__add__dom__app__simps_I2_J,axiom,
    ! [L2,M_1,L1] :
      ( ~ hBOOL(hAPP_f986089162l_bool(hAPP_l1903254203l_bool(member_list_char,M_1),dom_list_char_val(L1)))
     => hAPP_l207779698on_val(map_ad325961431ar_val(L1,L2),M_1) = hAPP_l207779698on_val(L2,M_1) ),
    file('theBenchmark.p',fact_431_map__add__dom__app__simps_I2_J) ).

fof(fact_432_map__add__assoc,axiom,
    ! [M1,M2,M3] : map_ad325961431ar_val(M1,map_ad325961431ar_val(M2,M3)) = map_ad325961431ar_val(map_ad325961431ar_val(M1,M2),M3),
    file('theBenchmark.p',fact_432_map__add__assoc) ).

fof(fact_433_split__curry,axiom,
    ! [F_1] : hAPP_f46308763ion_ty(produc907433735ion_ty,produc1675615144ion_ty(F_1)) = F_1,
    file('theBenchmark.p',fact_433_split__curry) ).

fof(fact_434_split__curry,axiom,
    ! [F_1] : hAPP_f2121594859l_bool(produc1958875245l_bool,produc2062775566l_bool(F_1)) = F_1,
    file('theBenchmark.p',fact_434_split__curry) ).

fof(fact_435_curry__split,axiom,
    ! [F_1] : produc1675615144ion_ty(hAPP_f46308763ion_ty(produc907433735ion_ty,F_1)) = F_1,
    file('theBenchmark.p',fact_435_curry__split) ).

fof(fact_436_curry__split,axiom,
    ! [F_1] : produc2062775566l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,F_1)) = F_1,
    file('theBenchmark.p',fact_436_curry__split) ).

fof(fact_437_split__part,axiom,
    ! [Pa,Q_1,X_1] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,hAPP_f555424277l_bool(hAPP_f1734879897l_bool(cOMBB_1522540928on_val,hAPP_f1863694447l_bool(cOMBB_383678192on_val,hAPP_b589554111l_bool(fconj,Pa))),Q_1)),X_1))
    <=> ( hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,Q_1),X_1))
        & hBOOL(Pa) ) ),
    file('theBenchmark.p',fact_437_split__part) ).

fof(fact_438_red__reds_ORedInitBlock,axiom,
    ! [Va_1,Ta,Va,U,S,Pa] : hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,block_list_char(Va_1,Ta,seq_list_char(lAss_list_char(Va_1,hAPP_v834067052t_char(val_list_char,Va)),hAPP_v834067052t_char(val_list_char,U)))),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,U)),S))),red(Pa))),
    file('theBenchmark.p',fact_438_red__reds_ORedInitBlock) ).

fof(fact_439_conf__widen,axiom,
    ! [T_a,Pa,Hb,Va,Ta] :
      ( hBOOL(conf_P373316194t_char(Pa,Hb,Va,Ta))
     => ( hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(Pa),Ta),T_a))
       => hBOOL(conf_P373316194t_char(Pa,Hb,Va,T_a)) ) ),
    file('theBenchmark.p',fact_439_conf__widen) ).

fof(fact_440_splitD,axiom,
    ! [F_1,A,B] :
      ( hBOOL(hAPP_P2014166431r_bool(hAPP_f1484794973r_bool(produc1732333873r_bool,F_1),hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,A),B)))
     => hBOOL(hAPP_e544220455r_bool(hAPP_l214204733r_bool(F_1,A),B)) ),
    file('theBenchmark.p',fact_440_splitD) ).

fof(fact_441_splitD,axiom,
    ! [F_1,A,B] :
      ( hBOOL(hAPP_P828904212r_bool(hAPP_f895126887r_bool(produc1596557472r_bool,F_1),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,A),B)))
     => hBOOL(hAPP_l902158906r_bool(hAPP_l24694616r_bool(F_1,A),B)) ),
    file('theBenchmark.p',fact_441_splitD) ).

fof(fact_442_splitD,axiom,
    ! [F_1,A,B] :
      ( hBOOL(hAPP_P659547099r_bool(hAPP_f252398939r_bool(produc1324280167r_bool,F_1),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,A),B)))
     => hBOOL(hAPP_P828904212r_bool(hAPP_l1342015621r_bool(F_1,A),B)) ),
    file('theBenchmark.p',fact_442_splitD) ).

fof(fact_443_splitD,axiom,
    ! [F_1,A,B] :
      ( hBOOL(hAPP_P1680401186r_bool(hAPP_f952817385r_bool(produc723279022r_bool,F_1),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,A),B)))
     => hBOOL(hAPP_P659547099r_bool(hAPP_l2140727500r_bool(F_1,A),B)) ),
    file('theBenchmark.p',fact_443_splitD) ).

fof(fact_444_splitD,axiom,
    ! [F_1,A,B] :
      ( hBOOL(hAPP_P2118621157r_bool(hAPP_f1697332217r_bool(produc21910851r_bool,F_1),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,A),B)))
     => hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(F_1,A),B)) ),
    file('theBenchmark.p',fact_444_splitD) ).

fof(fact_445_splitD,axiom,
    ! [F_1,A,B] :
      ( hBOOL(hAPP_P1907982426r_bool(hAPP_f102021095r_bool(produc154616760r_bool,F_1),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,A),B)))
     => hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(F_1,A),B)) ),
    file('theBenchmark.p',fact_445_splitD) ).

fof(fact_446_splitD,axiom,
    ! [F_1,A,B] :
      ( hBOOL(hAPP_P92196306r_bool(hAPP_f1613448899r_bool(produc2027921764r_bool,F_1),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,A),B)))
     => hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(F_1,A),B)) ),
    file('theBenchmark.p',fact_446_splitD) ).

fof(fact_447_splitD,axiom,
    ! [F_1,A,B] :
      ( hBOOL(hAPP_P71593144l_bool(hAPP_f1634841927l_bool(produc1491230096l_bool,F_1),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,A),B)))
     => hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(F_1,A),B)) ),
    file('theBenchmark.p',fact_447_splitD) ).

fof(fact_448_splitD,axiom,
    ! [F_1,A,B] :
      ( hBOOL(hAPP_P1333315679l_bool(hAPP_f1525114763l_bool(produc70644925l_bool,F_1),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A),B)))
     => hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(F_1,A),B)) ),
    file('theBenchmark.p',fact_448_splitD) ).

fof(fact_449_splitD,axiom,
    ! [F_1,A,B] :
      ( hBOOL(hAPP_P929938951l_bool(hAPP_f1534412387l_bool(produc769963999l_bool,F_1),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A),B)))
     => hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(F_1,A),B)) ),
    file('theBenchmark.p',fact_449_splitD) ).

fof(fact_450_splitD,axiom,
    ! [F_1,A,B] :
      ( hBOOL(hAPP_P943837928l_bool(hAPP_f340876351l_bool(produc1326056646l_bool,F_1),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,A),B)))
     => hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(F_1,A),B)) ),
    file('theBenchmark.p',fact_450_splitD) ).

fof(fact_451_splitD,axiom,
    ! [F_1,A,B] :
      ( hBOOL(hAPP_P449474095r_bool(hAPP_f2132060507r_bool(produc1704639885r_bool,F_1),hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A),B)))
     => hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(F_1,A),B)) ),
    file('theBenchmark.p',fact_451_splitD) ).

fof(fact_452_splitD,axiom,
    ! [F_1,A,B] :
      ( hBOOL(hAPP_P1235399154l_bool(hAPP_f1443410953l_bool(produc392960766l_bool,F_1),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,A),B)))
     => hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(F_1,A),B)) ),
    file('theBenchmark.p',fact_452_splitD) ).

fof(fact_453_splitD,axiom,
    ! [F_1,A,B] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,F_1),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A),B)))
     => hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(F_1,A),B)) ),
    file('theBenchmark.p',fact_453_splitD) ).

fof(fact_454_splitD,axiom,
    ! [F_1,A,B] :
      ( hBOOL(hAPP_P1708370145l_bool(hAPP_f1930574389l_bool(produc1815960045l_bool,F_1),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A),B)))
     => hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(F_1,A),B)) ),
    file('theBenchmark.p',fact_454_splitD) ).

fof(fact_455_splitD,axiom,
    ! [F_1,A,B] :
      ( hBOOL(hAPP_P282169671l_bool(hAPP_f635218277l_bool(produc1911463199l_bool,F_1),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A),B)))
     => hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(F_1,A),B)) ),
    file('theBenchmark.p',fact_455_splitD) ).

fof(fact_456_lconf__hext,axiom,
    ! [H_b,Pa,Hb,Lb,Ea] :
      ( hBOOL(hAPP_f1001225811y_bool(hAPP_f2060496320y_bool(hAPP_f1213370163y_bool(lconf_496643946t_char(Pa),Hb),Lb),Ea))
     => ( hBOOL(hext(Hb,H_b))
       => hBOOL(hAPP_f1001225811y_bool(hAPP_f2060496320y_bool(hAPP_f1213370163y_bool(lconf_496643946t_char(Pa),H_b),Lb),Ea)) ) ),
    file('theBenchmark.p',fact_456_lconf__hext) ).

fof(fact_457_red__reds_ORedSeq,axiom,
    ! [Va,E_2,S,Pa] : hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,seq_list_char(hAPP_v834067052t_char(val_list_char,Va),E_2)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_2),S))),red(Pa))),
    file('theBenchmark.p',fact_457_red__reds_ORedSeq) ).

fof(fact_458_map__add__upd__left,axiom,
    ! [E1,U1,M_1,E2] :
      ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,M_1),dom_na996029170on_val(E2)))
     => map_ad61982421on_val(fun_up2041264236on_val(E1,M_1,hAPP_P1510515380on_val(some_P948696889on_val,U1)),E2) = fun_up2041264236on_val(map_ad61982421on_val(E1,E2),M_1,hAPP_P1510515380on_val(some_P948696889on_val,U1)) ),
    file('theBenchmark.p',fact_458_map__add__upd__left) ).

fof(fact_459_map__add__upd__left,axiom,
    ! [E1,U1,M_1,E2] :
      ( ~ hBOOL(hAPP_f986089162l_bool(hAPP_l1903254203l_bool(member_list_char,M_1),dom_list_char_val(E2)))
     => map_ad325961431ar_val(fun_up1149430426on_val(E1,M_1,hAPP_val_option_val(some_val,U1)),E2) = fun_up1149430426on_val(map_ad325961431ar_val(E1,E2),M_1,hAPP_val_option_val(some_val,U1)) ),
    file('theBenchmark.p',fact_459_map__add__upd__left) ).

fof(fact_460_map__add__upd__left,axiom,
    ! [E1,U1,M_1,E2] :
      ( ~ hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,M_1),dom_Pr695701035ar_val(E2)))
     => map_ad1185064968ar_val(fun_up204312361on_val(E1,M_1,hAPP_val_option_val(some_val,U1)),E2) = fun_up204312361on_val(map_ad1185064968ar_val(E1,E2),M_1,hAPP_val_option_val(some_val,U1)) ),
    file('theBenchmark.p',fact_460_map__add__upd__left) ).

fof(fact_461_map__add__upd__left,axiom,
    ! [E1,U1,M_1,E2] :
      ( ~ hBOOL(hAPP_f986089162l_bool(hAPP_l1903254203l_bool(member_list_char,M_1),dom_list_char_ty(E2)))
     => map_add_list_char_ty(fun_up424764369ion_ty(E1,M_1,hAPP_ty_option_ty(some_ty,U1)),E2) = fun_up424764369ion_ty(map_add_list_char_ty(E1,E2),M_1,hAPP_ty_option_ty(some_ty,U1)) ),
    file('theBenchmark.p',fact_461_map__add__upd__left) ).

fof(fact_462_red__reds_ORedBlock,axiom,
    ! [Va_1,Ta,U,S,Pa] : hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,block_list_char(Va_1,Ta,hAPP_v834067052t_char(val_list_char,U))),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,U)),S))),red(Pa))),
    file('theBenchmark.p',fact_462_red__reds_ORedBlock) ).

fof(fact_463_domI,axiom,
    ! [M_1,A,B] :
      ( hAPP_n546249108on_val(M_1,A) = hAPP_P1510515380on_val(some_P948696889on_val,B)
     => hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A),dom_na996029170on_val(M_1))) ),
    file('theBenchmark.p',fact_463_domI) ).

fof(fact_464_domI,axiom,
    ! [M_1,A,B] :
      ( hAPP_l207779698on_val(M_1,A) = hAPP_val_option_val(some_val,B)
     => hBOOL(hAPP_f986089162l_bool(hAPP_l1903254203l_bool(member_list_char,A),dom_list_char_val(M_1))) ),
    file('theBenchmark.p',fact_464_domI) ).

fof(fact_465_red__reds_OInitBlockRed,axiom,
    ! [Ta,V_a,Eb,Hb,Lb,Va_1,Va,E_b,H_b,L_b,Pa] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),fun_up1149430426on_val(Lb,Va_1,hAPP_val_option_val(some_val,Va))))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),L_b)))),red(Pa)))
     => ( hAPP_l207779698on_val(L_b,Va_1) = hAPP_val_option_val(some_val,V_a)
       => hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,block_list_char(Va_1,Ta,seq_list_char(lAss_list_char(Va_1,hAPP_v834067052t_char(val_list_char,Va)),Eb))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,block_list_char(Va_1,Ta,seq_list_char(lAss_list_char(Va_1,hAPP_v834067052t_char(val_list_char,V_a)),E_b))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),fun_up1149430426on_val(L_b,Va_1,hAPP_l207779698on_val(Lb,Va_1)))))),red(Pa))) ) ),
    file('theBenchmark.p',fact_465_red__reds_OInitBlockRed) ).

fof(fact_466_prod_Osimps_I2_J,axiom,
    ! [F1,A,B] : hAPP_P1228500987ion_ty(hAPP_f46308763ion_ty(produc907433735ion_ty,F1),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,A),B)) = hAPP_f652398900ion_ty(hAPP_l2000496933ion_ty(F1,A),B),
    file('theBenchmark.p',fact_466_prod_Osimps_I2_J) ).

fof(fact_467_prod_Osimps_I2_J,axiom,
    ! [F1,A,B] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,F1),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A),B)))
    <=> hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(F1,A),B)) ),
    file('theBenchmark.p',fact_467_prod_Osimps_I2_J) ).

fof(fact_468_split__conv,axiom,
    ! [F_1,A,B] : hAPP_P1228500987ion_ty(hAPP_f46308763ion_ty(produc907433735ion_ty,F_1),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,A),B)) = hAPP_f652398900ion_ty(hAPP_l2000496933ion_ty(F_1,A),B),
    file('theBenchmark.p',fact_468_split__conv) ).

fof(fact_469_split__conv,axiom,
    ! [F_1,A,B] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,F_1),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A),B)))
    <=> hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(F_1,A),B)) ),
    file('theBenchmark.p',fact_469_split__conv) ).

fof(fact_470_map__add__find__right,axiom,
    ! [M_1,N,K,Xx] :
      ( hAPP_l207779698on_val(N,K) = hAPP_val_option_val(some_val,Xx)
     => hAPP_l207779698on_val(map_ad325961431ar_val(M_1,N),K) = hAPP_val_option_val(some_val,Xx) ),
    file('theBenchmark.p',fact_470_map__add__find__right) ).

fof(fact_471_mem__def,axiom,
    ! [X_2,A_2] :
      ( hBOOL(hAPP_f483496539l_bool(hAPP_P7095645l_bool(member1601084734t_char,X_2),A_2))
    <=> hBOOL(hAPP_P1384137393r_bool(A_2,X_2)) ),
    file('theBenchmark.p',fact_471_mem__def) ).

fof(fact_472_mem__def,axiom,
    ! [X_2,A_2] :
      ( hBOOL(hAPP_f515912112l_bool(hAPP_P205570445l_bool(member1467889965t_char,X_2),A_2))
    <=> hBOOL(hAPP_P1680401186r_bool(A_2,X_2)) ),
    file('theBenchmark.p',fact_472_mem__def) ).

fof(fact_473_mem__def,axiom,
    ! [X_2,A_2] :
      ( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,X_2),A_2))
    <=> hBOOL(hAPP_P1333315679l_bool(A_2,X_2)) ),
    file('theBenchmark.p',fact_473_mem__def) ).

fof(fact_474_mem__def,axiom,
    ! [X_2,A_2] :
      ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_2),A_2))
    <=> hBOOL(hAPP_nat_bool(A_2,X_2)) ),
    file('theBenchmark.p',fact_474_mem__def) ).

fof(fact_475_mem__def,axiom,
    ! [X_2,A_2] :
      ( hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,X_2),A_2))
    <=> hBOOL(hAPP_P449474095r_bool(A_2,X_2)) ),
    file('theBenchmark.p',fact_475_mem__def) ).

fof(fact_476_mem__def,axiom,
    ! [X_2,A_2] :
      ( hBOOL(hAPP_f986089162l_bool(hAPP_l1903254203l_bool(member_list_char,X_2),A_2))
    <=> hBOOL(hAPP_list_char_bool(A_2,X_2)) ),
    file('theBenchmark.p',fact_476_mem__def) ).

fof(fact_477_mem__def,axiom,
    ! [X_2,A_2] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,X_2),A_2))
    <=> hBOOL(hAPP_P282169671l_bool(A_2,X_2)) ),
    file('theBenchmark.p',fact_477_mem__def) ).

fof(fact_478_split__eta,axiom,
    ! [F_1] : hAPP_f46308763ion_ty(produc907433735ion_ty,hAPP_f802560783ion_ty(hAPP_f7643013ion_ty(cOMBB_864319000t_char,hAPP_f69964139ion_ty(cOMBB_2041093409on_val,F_1)),produc823076510on_val)) = F_1,
    file('theBenchmark.p',fact_478_split__eta) ).

fof(fact_479_split__eta,axiom,
    ! [F_1] : hAPP_f2121594859l_bool(produc1958875245l_bool,hAPP_f1363667773l_bool(hAPP_f1050935001l_bool(cOMBB_1153617344on_val,hAPP_f2057883639l_bool(cOMBB_1750801836on_val,F_1)),produc899768717on_val)) = F_1,
    file('theBenchmark.p',fact_479_split__eta) ).

fof(fact_480_red__reds_OLAssRed,axiom,
    ! [Va_1,Eb,S,E_b,S_2,Pa] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_2))),red(Pa)))
     => hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,lAss_list_char(Va_1,Eb)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,lAss_list_char(Va_1,E_b)),S_2))),red(Pa))) ),
    file('theBenchmark.p',fact_480_red__reds_OLAssRed) ).

fof(fact_481_red__reds_OSeqRed,axiom,
    ! [E_2,Eb,S,E_b,S_2,Pa] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_2))),red(Pa)))
     => hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,seq_list_char(Eb,E_2)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,seq_list_char(E_b,E_2)),S_2))),red(Pa))) ),
    file('theBenchmark.p',fact_481_red__reds_OSeqRed) ).

fof(fact_482_curryE,axiom,
    ! [F_1,A,B] :
      ( hBOOL(hAPP_e544220455r_bool(hAPP_l214204733r_bool(produc288369490r_bool(F_1),A),B))
     => hBOOL(hAPP_P2014166431r_bool(F_1,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,A),B))) ),
    file('theBenchmark.p',fact_482_curryE) ).

fof(fact_483_curryE,axiom,
    ! [F_1,A,B] :
      ( hBOOL(hAPP_l902158906r_bool(hAPP_l24694616r_bool(produc2116052801r_bool(F_1),A),B))
     => hBOOL(hAPP_P828904212r_bool(F_1,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,A),B))) ),
    file('theBenchmark.p',fact_483_curryE) ).

fof(fact_484_curryE,axiom,
    ! [F_1,A,B] :
      ( hBOOL(hAPP_P828904212r_bool(hAPP_l1342015621r_bool(produc266042248r_bool(F_1),A),B))
     => hBOOL(hAPP_P659547099r_bool(F_1,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,A),B))) ),
    file('theBenchmark.p',fact_484_curryE) ).

fof(fact_485_curryE,axiom,
    ! [F_1,A,B] :
      ( hBOOL(hAPP_P659547099r_bool(hAPP_l2140727500r_bool(produc1588781647r_bool(F_1),A),B))
     => hBOOL(hAPP_P1680401186r_bool(F_1,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,A),B))) ),
    file('theBenchmark.p',fact_485_curryE) ).

fof(fact_486_curryE,axiom,
    ! [F_1,A,B] :
      ( hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(produc550034914r_bool(F_1),A),B))
     => hBOOL(hAPP_P2118621157r_bool(F_1,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,A),B))) ),
    file('theBenchmark.p',fact_486_curryE) ).

fof(fact_487_curryE,axiom,
    ! [F_1,A,B] :
      ( hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(produc156891095r_bool(F_1),A),B))
     => hBOOL(hAPP_P1907982426r_bool(F_1,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,A),B))) ),
    file('theBenchmark.p',fact_487_curryE) ).

fof(fact_488_curryE,axiom,
    ! [F_1,A,B] :
      ( hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(produc1574020101r_bool(F_1),A),B))
     => hBOOL(hAPP_P92196306r_bool(F_1,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,A),B))) ),
    file('theBenchmark.p',fact_488_curryE) ).

fof(fact_489_curryE,axiom,
    ! [F_1,A,B] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(produc1838470831l_bool(F_1),A),B))
     => hBOOL(hAPP_P71593144l_bool(F_1,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,A),B))) ),
    file('theBenchmark.p',fact_489_curryE) ).

fof(fact_490_curryE,axiom,
    ! [F_1,A,B] :
      ( hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(produc2053127004l_bool(F_1),A),B))
     => hBOOL(hAPP_P1333315679l_bool(F_1,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A),B))) ),
    file('theBenchmark.p',fact_490_curryE) ).

fof(fact_491_curryE,axiom,
    ! [F_1,A,B] :
      ( hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(produc886919678l_bool(F_1),A),B))
     => hBOOL(hAPP_P929938951l_bool(F_1,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A),B))) ),
    file('theBenchmark.p',fact_491_curryE) ).

fof(fact_492_curryE,axiom,
    ! [F_1,A,B] :
      ( hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(produc1555310053l_bool(F_1),A),B))
     => hBOOL(hAPP_P943837928l_bool(F_1,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,A),B))) ),
    file('theBenchmark.p',fact_492_curryE) ).

fof(fact_493_curryE,axiom,
    ! [F_1,A,B] :
      ( hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(produc95371820r_bool(F_1),A),B))
     => hBOOL(hAPP_P449474095r_bool(F_1,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A),B))) ),
    file('theBenchmark.p',fact_493_curryE) ).

fof(fact_494_curryE,axiom,
    ! [F_1,A,B] :
      ( hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(produc481748255l_bool(F_1),A),B))
     => hBOOL(hAPP_P1235399154l_bool(F_1,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,A),B))) ),
    file('theBenchmark.p',fact_494_curryE) ).

fof(fact_495_curryE,axiom,
    ! [F_1,A,B] :
      ( hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(produc2062775566l_bool(F_1),A),B))
     => hBOOL(hAPP_P159683425l_bool(F_1,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A),B))) ),
    file('theBenchmark.p',fact_495_curryE) ).

fof(fact_496_curryE,axiom,
    ! [F_1,A,B] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(produc1911975310l_bool(F_1),A),B))
     => hBOOL(hAPP_P1708370145l_bool(F_1,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A),B))) ),
    file('theBenchmark.p',fact_496_curryE) ).

fof(fact_497_curryE,axiom,
    ! [F_1,A,B] :
      ( hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(produc1159035454l_bool(F_1),A),B))
     => hBOOL(hAPP_P282169671l_bool(F_1,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A),B))) ),
    file('theBenchmark.p',fact_497_curryE) ).

fof(fact_498_curryD,axiom,
    ! [F_1,A,B] :
      ( hBOOL(hAPP_e544220455r_bool(hAPP_l214204733r_bool(produc288369490r_bool(F_1),A),B))
     => hBOOL(hAPP_P2014166431r_bool(F_1,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,A),B))) ),
    file('theBenchmark.p',fact_498_curryD) ).

fof(fact_499_curryD,axiom,
    ! [F_1,A,B] :
      ( hBOOL(hAPP_l902158906r_bool(hAPP_l24694616r_bool(produc2116052801r_bool(F_1),A),B))
     => hBOOL(hAPP_P828904212r_bool(F_1,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,A),B))) ),
    file('theBenchmark.p',fact_499_curryD) ).

fof(fact_500_curryD,axiom,
    ! [F_1,A,B] :
      ( hBOOL(hAPP_P828904212r_bool(hAPP_l1342015621r_bool(produc266042248r_bool(F_1),A),B))
     => hBOOL(hAPP_P659547099r_bool(F_1,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,A),B))) ),
    file('theBenchmark.p',fact_500_curryD) ).

fof(fact_501_curryD,axiom,
    ! [F_1,A,B] :
      ( hBOOL(hAPP_P659547099r_bool(hAPP_l2140727500r_bool(produc1588781647r_bool(F_1),A),B))
     => hBOOL(hAPP_P1680401186r_bool(F_1,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,A),B))) ),
    file('theBenchmark.p',fact_501_curryD) ).

fof(fact_502_curryD,axiom,
    ! [F_1,A,B] :
      ( hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(produc550034914r_bool(F_1),A),B))
     => hBOOL(hAPP_P2118621157r_bool(F_1,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,A),B))) ),
    file('theBenchmark.p',fact_502_curryD) ).

fof(fact_503_curryD,axiom,
    ! [F_1,A,B] :
      ( hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(produc156891095r_bool(F_1),A),B))
     => hBOOL(hAPP_P1907982426r_bool(F_1,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,A),B))) ),
    file('theBenchmark.p',fact_503_curryD) ).

fof(fact_504_curryD,axiom,
    ! [F_1,A,B] :
      ( hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(produc1574020101r_bool(F_1),A),B))
     => hBOOL(hAPP_P92196306r_bool(F_1,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,A),B))) ),
    file('theBenchmark.p',fact_504_curryD) ).

fof(fact_505_curryD,axiom,
    ! [F_1,A,B] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(produc1838470831l_bool(F_1),A),B))
     => hBOOL(hAPP_P71593144l_bool(F_1,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,A),B))) ),
    file('theBenchmark.p',fact_505_curryD) ).

fof(fact_506_curryD,axiom,
    ! [F_1,A,B] :
      ( hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(produc2053127004l_bool(F_1),A),B))
     => hBOOL(hAPP_P1333315679l_bool(F_1,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A),B))) ),
    file('theBenchmark.p',fact_506_curryD) ).

fof(fact_507_curryD,axiom,
    ! [F_1,A,B] :
      ( hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(produc886919678l_bool(F_1),A),B))
     => hBOOL(hAPP_P929938951l_bool(F_1,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A),B))) ),
    file('theBenchmark.p',fact_507_curryD) ).

fof(fact_508_curryD,axiom,
    ! [F_1,A,B] :
      ( hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(produc1555310053l_bool(F_1),A),B))
     => hBOOL(hAPP_P943837928l_bool(F_1,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,A),B))) ),
    file('theBenchmark.p',fact_508_curryD) ).

fof(fact_509_curryD,axiom,
    ! [F_1,A,B] :
      ( hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(produc95371820r_bool(F_1),A),B))
     => hBOOL(hAPP_P449474095r_bool(F_1,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A),B))) ),
    file('theBenchmark.p',fact_509_curryD) ).

fof(fact_510_curryD,axiom,
    ! [F_1,A,B] :
      ( hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(produc481748255l_bool(F_1),A),B))
     => hBOOL(hAPP_P1235399154l_bool(F_1,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,A),B))) ),
    file('theBenchmark.p',fact_510_curryD) ).

fof(fact_511_curryD,axiom,
    ! [F_1,A,B] :
      ( hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(produc2062775566l_bool(F_1),A),B))
     => hBOOL(hAPP_P159683425l_bool(F_1,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A),B))) ),
    file('theBenchmark.p',fact_511_curryD) ).

fof(fact_512_curryD,axiom,
    ! [F_1,A,B] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(produc1911975310l_bool(F_1),A),B))
     => hBOOL(hAPP_P1708370145l_bool(F_1,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A),B))) ),
    file('theBenchmark.p',fact_512_curryD) ).

fof(fact_513_curryD,axiom,
    ! [F_1,A,B] :
      ( hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(produc1159035454l_bool(F_1),A),B))
     => hBOOL(hAPP_P282169671l_bool(F_1,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A),B))) ),
    file('theBenchmark.p',fact_513_curryD) ).

fof(fact_514_map__add__upd,axiom,
    ! [F_1,G,X_2,Y_2] : map_ad1185064968ar_val(F_1,fun_up204312361on_val(G,X_2,hAPP_val_option_val(some_val,Y_2))) = fun_up204312361on_val(map_ad1185064968ar_val(F_1,G),X_2,hAPP_val_option_val(some_val,Y_2)),
    file('theBenchmark.p',fact_514_map__add__upd) ).

fof(fact_515_map__add__upd,axiom,
    ! [F_1,G,X_2,Y_2] : map_ad61982421on_val(F_1,fun_up2041264236on_val(G,X_2,hAPP_P1510515380on_val(some_P948696889on_val,Y_2))) = fun_up2041264236on_val(map_ad61982421on_val(F_1,G),X_2,hAPP_P1510515380on_val(some_P948696889on_val,Y_2)),
    file('theBenchmark.p',fact_515_map__add__upd) ).

fof(fact_516_map__add__upd,axiom,
    ! [F_1,G,X_2,Y_2] : map_add_list_char_ty(F_1,fun_up424764369ion_ty(G,X_2,hAPP_ty_option_ty(some_ty,Y_2))) = fun_up424764369ion_ty(map_add_list_char_ty(F_1,G),X_2,hAPP_ty_option_ty(some_ty,Y_2)),
    file('theBenchmark.p',fact_516_map__add__upd) ).

fof(fact_517_map__add__upd,axiom,
    ! [F_1,G,X_2,Y_2] : map_ad325961431ar_val(F_1,fun_up1149430426on_val(G,X_2,hAPP_val_option_val(some_val,Y_2))) = fun_up1149430426on_val(map_ad325961431ar_val(F_1,G),X_2,hAPP_val_option_val(some_val,Y_2)),
    file('theBenchmark.p',fact_517_map__add__upd) ).

fof(fact_518_internal__split__def,axiom,
    produc1577326610ion_ty = produc907433735ion_ty,
    file('theBenchmark.p',fact_518_internal__split__def) ).

fof(fact_519_internal__split__def,axiom,
    produc2128769400l_bool = produc1958875245l_bool,
    file('theBenchmark.p',fact_519_internal__split__def) ).

fof(fact_520_WTrtBlock,axiom,
    ! [Pa,Hb,Ea,Va_1,Ta,Eb,T_a] :
      ( hBOOL(wTrt_1(Pa,Hb,fun_up424764369ion_ty(Ea,Va_1,hAPP_ty_option_ty(some_ty,Ta)),Eb,T_a))
     => hBOOL(wTrt_1(Pa,Hb,Ea,block_list_char(Va_1,Ta,Eb),T_a)) ),
    file('theBenchmark.p',fact_520_WTrtBlock) ).

fof(fact_521_splitE,axiom,
    ! [C_2,P_1] :
      ( hBOOL(hAPP_P2014166431r_bool(hAPP_f1484794973r_bool(produc1732333873r_bool,C_2),P_1))
     => ~ ! [X_1,Y_1] :
            ( P_1 = hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,X_1),Y_1)
           => ~ hBOOL(hAPP_e544220455r_bool(hAPP_l214204733r_bool(C_2,X_1),Y_1)) ) ),
    file('theBenchmark.p',fact_521_splitE) ).

fof(fact_522_splitE,axiom,
    ! [C_2,P_1] :
      ( hBOOL(hAPP_P828904212r_bool(hAPP_f895126887r_bool(produc1596557472r_bool,C_2),P_1))
     => ~ ! [X_1,Y_1] :
            ( P_1 = hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,X_1),Y_1)
           => ~ hBOOL(hAPP_l902158906r_bool(hAPP_l24694616r_bool(C_2,X_1),Y_1)) ) ),
    file('theBenchmark.p',fact_522_splitE) ).

fof(fact_523_splitE,axiom,
    ! [C_2,P_1] :
      ( hBOOL(hAPP_P659547099r_bool(hAPP_f252398939r_bool(produc1324280167r_bool,C_2),P_1))
     => ~ ! [X_1,Y_1] :
            ( P_1 = hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,X_1),Y_1)
           => ~ hBOOL(hAPP_P828904212r_bool(hAPP_l1342015621r_bool(C_2,X_1),Y_1)) ) ),
    file('theBenchmark.p',fact_523_splitE) ).

fof(fact_524_splitE,axiom,
    ! [C_2,P_1] :
      ( hBOOL(hAPP_P1680401186r_bool(hAPP_f952817385r_bool(produc723279022r_bool,C_2),P_1))
     => ~ ! [X_1,Y_1] :
            ( P_1 = hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,X_1),Y_1)
           => ~ hBOOL(hAPP_P659547099r_bool(hAPP_l2140727500r_bool(C_2,X_1),Y_1)) ) ),
    file('theBenchmark.p',fact_524_splitE) ).

fof(fact_525_splitE,axiom,
    ! [C_2,P_1] :
      ( hBOOL(hAPP_P2118621157r_bool(hAPP_f1697332217r_bool(produc21910851r_bool,C_2),P_1))
     => ~ ! [X_1,Y_1] :
            ( P_1 = hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,X_1),Y_1)
           => ~ hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(C_2,X_1),Y_1)) ) ),
    file('theBenchmark.p',fact_525_splitE) ).

fof(fact_526_splitE,axiom,
    ! [C_2,P_1] :
      ( hBOOL(hAPP_P1907982426r_bool(hAPP_f102021095r_bool(produc154616760r_bool,C_2),P_1))
     => ~ ! [X_1,Y_1] :
            ( P_1 = hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,X_1),Y_1)
           => ~ hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(C_2,X_1),Y_1)) ) ),
    file('theBenchmark.p',fact_526_splitE) ).

fof(fact_527_splitE,axiom,
    ! [C_2,P_1] :
      ( hBOOL(hAPP_P92196306r_bool(hAPP_f1613448899r_bool(produc2027921764r_bool,C_2),P_1))
     => ~ ! [X_1,Y_1] :
            ( P_1 = hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,X_1),Y_1)
           => ~ hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(C_2,X_1),Y_1)) ) ),
    file('theBenchmark.p',fact_527_splitE) ).

fof(fact_528_splitE,axiom,
    ! [C_2,P_1] :
      ( hBOOL(hAPP_P71593144l_bool(hAPP_f1634841927l_bool(produc1491230096l_bool,C_2),P_1))
     => ~ ! [X_1,Y_1] :
            ( P_1 = hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,X_1),Y_1)
           => ~ hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(C_2,X_1),Y_1)) ) ),
    file('theBenchmark.p',fact_528_splitE) ).

fof(fact_529_splitE,axiom,
    ! [C_2,P_1] :
      ( hBOOL(hAPP_P1333315679l_bool(hAPP_f1525114763l_bool(produc70644925l_bool,C_2),P_1))
     => ~ ! [X_1,Y_1] :
            ( P_1 = hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,X_1),Y_1)
           => ~ hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(C_2,X_1),Y_1)) ) ),
    file('theBenchmark.p',fact_529_splitE) ).

fof(fact_530_splitE,axiom,
    ! [C_2,P_1] :
      ( hBOOL(hAPP_P929938951l_bool(hAPP_f1534412387l_bool(produc769963999l_bool,C_2),P_1))
     => ~ ! [X_1,Y_1] :
            ( P_1 = hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,X_1),Y_1)
           => ~ hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(C_2,X_1),Y_1)) ) ),
    file('theBenchmark.p',fact_530_splitE) ).

fof(fact_531_splitE,axiom,
    ! [C_2,P_1] :
      ( hBOOL(hAPP_P943837928l_bool(hAPP_f340876351l_bool(produc1326056646l_bool,C_2),P_1))
     => ~ ! [X_1,Y_1] :
            ( is_bop(X_1)
           => ( P_1 = hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,X_1),Y_1)
             => ~ hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(C_2,X_1),Y_1)) ) ) ),
    file('theBenchmark.p',fact_531_splitE) ).

fof(fact_532_splitE,axiom,
    ! [C_2,P_1] :
      ( hBOOL(hAPP_P449474095r_bool(hAPP_f2132060507r_bool(produc1704639885r_bool,C_2),P_1))
     => ~ ! [X_1,Y_1] :
            ( P_1 = hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,X_1),Y_1)
           => ~ hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(C_2,X_1),Y_1)) ) ),
    file('theBenchmark.p',fact_532_splitE) ).

fof(fact_533_splitE,axiom,
    ! [C_2,P_1] :
      ( hBOOL(hAPP_P1235399154l_bool(hAPP_f1443410953l_bool(produc392960766l_bool,C_2),P_1))
     => ~ ! [X_1,Y_1] :
            ( P_1 = hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,X_1),Y_1)
           => ~ hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(C_2,X_1),Y_1)) ) ),
    file('theBenchmark.p',fact_533_splitE) ).

fof(fact_534_splitE,axiom,
    ! [C_2,P_1] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,C_2),P_1))
     => ~ ! [X_1,Y_1] :
            ( P_1 = hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,X_1),Y_1)
           => ~ hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(C_2,X_1),Y_1)) ) ),
    file('theBenchmark.p',fact_534_splitE) ).

fof(fact_535_splitE,axiom,
    ! [C_2,P_1] :
      ( hBOOL(hAPP_P1708370145l_bool(hAPP_f1930574389l_bool(produc1815960045l_bool,C_2),P_1))
     => ~ ! [X_1,Y_1] :
            ( P_1 = hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,X_1),Y_1)
           => ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(C_2,X_1),Y_1)) ) ),
    file('theBenchmark.p',fact_535_splitE) ).

fof(fact_536_splitE,axiom,
    ! [C_2,P_1] :
      ( hBOOL(hAPP_P282169671l_bool(hAPP_f635218277l_bool(produc1911463199l_bool,C_2),P_1))
     => ~ ! [X_1,Y_1] :
            ( P_1 = hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,X_1),Y_1)
           => ~ hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(C_2,X_1),Y_1)) ) ),
    file('theBenchmark.p',fact_536_splitE) ).

fof(fact_537_splitI2,axiom,
    ! [C_2,P_1] :
      ( ! [A_1,B_2] :
          ( P_1 = hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,A_1),B_2)
         => hBOOL(hAPP_e544220455r_bool(hAPP_l214204733r_bool(C_2,A_1),B_2)) )
     => hBOOL(hAPP_P2014166431r_bool(hAPP_f1484794973r_bool(produc1732333873r_bool,C_2),P_1)) ),
    file('theBenchmark.p',fact_537_splitI2) ).

fof(fact_538_splitI2,axiom,
    ! [C_2,P_1] :
      ( ! [A_1,B_2] :
          ( P_1 = hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,A_1),B_2)
         => hBOOL(hAPP_l902158906r_bool(hAPP_l24694616r_bool(C_2,A_1),B_2)) )
     => hBOOL(hAPP_P828904212r_bool(hAPP_f895126887r_bool(produc1596557472r_bool,C_2),P_1)) ),
    file('theBenchmark.p',fact_538_splitI2) ).

fof(fact_539_splitI2,axiom,
    ! [C_2,P_1] :
      ( ! [A_1,B_2] :
          ( P_1 = hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,A_1),B_2)
         => hBOOL(hAPP_P828904212r_bool(hAPP_l1342015621r_bool(C_2,A_1),B_2)) )
     => hBOOL(hAPP_P659547099r_bool(hAPP_f252398939r_bool(produc1324280167r_bool,C_2),P_1)) ),
    file('theBenchmark.p',fact_539_splitI2) ).

fof(fact_540_splitI2,axiom,
    ! [C_2,P_1] :
      ( ! [A_1,B_2] :
          ( P_1 = hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,A_1),B_2)
         => hBOOL(hAPP_P659547099r_bool(hAPP_l2140727500r_bool(C_2,A_1),B_2)) )
     => hBOOL(hAPP_P1680401186r_bool(hAPP_f952817385r_bool(produc723279022r_bool,C_2),P_1)) ),
    file('theBenchmark.p',fact_540_splitI2) ).

fof(fact_541_splitI2,axiom,
    ! [C_2,P_1] :
      ( ! [A_1,B_2] :
          ( P_1 = hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,A_1),B_2)
         => hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(C_2,A_1),B_2)) )
     => hBOOL(hAPP_P2118621157r_bool(hAPP_f1697332217r_bool(produc21910851r_bool,C_2),P_1)) ),
    file('theBenchmark.p',fact_541_splitI2) ).

fof(fact_542_splitI2,axiom,
    ! [C_2,P_1] :
      ( ! [A_1,B_2] :
          ( P_1 = hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,A_1),B_2)
         => hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(C_2,A_1),B_2)) )
     => hBOOL(hAPP_P1907982426r_bool(hAPP_f102021095r_bool(produc154616760r_bool,C_2),P_1)) ),
    file('theBenchmark.p',fact_542_splitI2) ).

fof(fact_543_splitI2,axiom,
    ! [C_2,P_1] :
      ( ! [A_1,B_2] :
          ( P_1 = hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,A_1),B_2)
         => hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(C_2,A_1),B_2)) )
     => hBOOL(hAPP_P92196306r_bool(hAPP_f1613448899r_bool(produc2027921764r_bool,C_2),P_1)) ),
    file('theBenchmark.p',fact_543_splitI2) ).

fof(fact_544_splitI2,axiom,
    ! [C_2,P_1] :
      ( ! [A_1,B_2] :
          ( P_1 = hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,A_1),B_2)
         => hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(C_2,A_1),B_2)) )
     => hBOOL(hAPP_P71593144l_bool(hAPP_f1634841927l_bool(produc1491230096l_bool,C_2),P_1)) ),
    file('theBenchmark.p',fact_544_splitI2) ).

fof(fact_545_splitI2,axiom,
    ! [C_2,P_1] :
      ( ! [A_1,B_2] :
          ( P_1 = hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A_1),B_2)
         => hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(C_2,A_1),B_2)) )
     => hBOOL(hAPP_P1333315679l_bool(hAPP_f1525114763l_bool(produc70644925l_bool,C_2),P_1)) ),
    file('theBenchmark.p',fact_545_splitI2) ).

fof(fact_546_splitI2,axiom,
    ! [C_2,P_1] :
      ( ! [A_1,B_2] :
          ( P_1 = hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A_1),B_2)
         => hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(C_2,A_1),B_2)) )
     => hBOOL(hAPP_P929938951l_bool(hAPP_f1534412387l_bool(produc769963999l_bool,C_2),P_1)) ),
    file('theBenchmark.p',fact_546_splitI2) ).

fof(fact_547_splitI2,axiom,
    ! [C_2,P_1] :
      ( ! [A_1,B_2] :
          ( is_bop(A_1)
         => ( P_1 = hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,A_1),B_2)
           => hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(C_2,A_1),B_2)) ) )
     => hBOOL(hAPP_P943837928l_bool(hAPP_f340876351l_bool(produc1326056646l_bool,C_2),P_1)) ),
    file('theBenchmark.p',fact_547_splitI2) ).

fof(fact_548_splitI2,axiom,
    ! [C_2,P_1] :
      ( ! [A_1,B_2] :
          ( P_1 = hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A_1),B_2)
         => hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(C_2,A_1),B_2)) )
     => hBOOL(hAPP_P449474095r_bool(hAPP_f2132060507r_bool(produc1704639885r_bool,C_2),P_1)) ),
    file('theBenchmark.p',fact_548_splitI2) ).

fof(fact_549_splitI2,axiom,
    ! [C_2,P_1] :
      ( ! [A_1,B_2] :
          ( P_1 = hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,A_1),B_2)
         => hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(C_2,A_1),B_2)) )
     => hBOOL(hAPP_P1235399154l_bool(hAPP_f1443410953l_bool(produc392960766l_bool,C_2),P_1)) ),
    file('theBenchmark.p',fact_549_splitI2) ).

fof(fact_550_splitI2,axiom,
    ! [C_2,P_1] :
      ( ! [A_1,B_2] :
          ( P_1 = hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A_1),B_2)
         => hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(C_2,A_1),B_2)) )
     => hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,C_2),P_1)) ),
    file('theBenchmark.p',fact_550_splitI2) ).

fof(fact_551_splitI2,axiom,
    ! [C_2,P_1] :
      ( ! [A_1,B_2] :
          ( P_1 = hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A_1),B_2)
         => hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(C_2,A_1),B_2)) )
     => hBOOL(hAPP_P1708370145l_bool(hAPP_f1930574389l_bool(produc1815960045l_bool,C_2),P_1)) ),
    file('theBenchmark.p',fact_551_splitI2) ).

fof(fact_552_splitI2,axiom,
    ! [C_2,P_1] :
      ( ! [A_1,B_2] :
          ( P_1 = hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_1),B_2)
         => hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(C_2,A_1),B_2)) )
     => hBOOL(hAPP_P282169671l_bool(hAPP_f635218277l_bool(produc1911463199l_bool,C_2),P_1)) ),
    file('theBenchmark.p',fact_552_splitI2) ).

fof(fact_553_WTrtSeq,axiom,
    ! [E_2,T_2_2,Pa,Hb,Ea,E_1_1,T_1_1] :
      ( hBOOL(wTrt_1(Pa,Hb,Ea,E_1_1,T_1_1))
     => ( hBOOL(wTrt_1(Pa,Hb,Ea,E_2,T_2_2))
       => hBOOL(wTrt_1(Pa,Hb,Ea,seq_list_char(E_1_1,E_2),T_2_2)) ) ),
    file('theBenchmark.p',fact_553_WTrtSeq) ).

fof(fact_554_lconf__def,axiom,
    ! [Pa,Hb,Lb,Ea] :
      ( hBOOL(hAPP_f1001225811y_bool(hAPP_f2060496320y_bool(hAPP_f1213370163y_bool(lconf_496643946t_char(Pa),Hb),Lb),Ea))
    <=> ! [V_3,V_2] :
          ( hAPP_l207779698on_val(Lb,V_3) = hAPP_val_option_val(some_val,V_2)
         => ? [T_4] :
              ( hBOOL(conf_P373316194t_char(Pa,Hb,V_2,T_4))
              & hAPP_l512744617ion_ty(Ea,V_3) = hAPP_ty_option_ty(some_ty,T_4) ) ) ),
    file('theBenchmark.p',fact_554_lconf__def) ).

fof(fact_555_red__reds_ORedLAss,axiom,
    ! [Va_1,Va,Hb,Lb,Pa] : hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,lAss_list_char(Va_1,hAPP_v834067052t_char(val_list_char,Va))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,unit)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),fun_up1149430426on_val(Lb,Va_1,hAPP_val_option_val(some_val,Va)))))),red(Pa))),
    file('theBenchmark.p',fact_555_red__reds_ORedLAss) ).

fof(fact_556_hext__refl,axiom,
    ! [Hb] : hBOOL(hext(Hb,Hb)),
    file('theBenchmark.p',fact_556_hext__refl) ).

fof(fact_557_cond__split__eta,axiom,
    ! [F_1,G] :
      ( ! [X_1,Y_1] : hAPP_f652398900ion_ty(hAPP_l2000496933ion_ty(F_1,X_1),Y_1) = hAPP_P1228500987ion_ty(G,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,X_1),Y_1))
     => hAPP_f46308763ion_ty(produc907433735ion_ty,F_1) = G ),
    file('theBenchmark.p',fact_557_cond__split__eta) ).

fof(fact_558_cond__split__eta,axiom,
    ! [G,F_1] :
      ( ! [X_1,Y_1] :
          ( hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(F_1,X_1),Y_1))
        <=> hBOOL(hAPP_P159683425l_bool(G,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,X_1),Y_1))) )
     => hAPP_f2121594859l_bool(produc1958875245l_bool,F_1) = G ),
    file('theBenchmark.p',fact_558_cond__split__eta) ).

fof(fact_559_domD,axiom,
    ! [A,M_1] :
      ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A),dom_na996029170on_val(M_1)))
     => ? [B_2] : hAPP_n546249108on_val(M_1,A) = hAPP_P1510515380on_val(some_P948696889on_val,B_2) ),
    file('theBenchmark.p',fact_559_domD) ).

fof(fact_560_domD,axiom,
    ! [A,M_1] :
      ( hBOOL(hAPP_f986089162l_bool(hAPP_l1903254203l_bool(member_list_char,A),dom_list_char_val(M_1)))
     => ? [B_2] : hAPP_l207779698on_val(M_1,A) = hAPP_val_option_val(some_val,B_2) ),
    file('theBenchmark.p',fact_560_domD) ).

fof(fact_561_splitE2,axiom,
    ! [Q_1,Pa,Z_1] :
      ( hBOOL(hAPP_option_ty_bool(Q_1,hAPP_P1228500987ion_ty(hAPP_f46308763ion_ty(produc907433735ion_ty,Pa),Z_1)))
     => ~ ! [X_1,Y_1] :
            ( Z_1 = hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,X_1),Y_1)
           => ~ hBOOL(hAPP_option_ty_bool(Q_1,hAPP_f652398900ion_ty(hAPP_l2000496933ion_ty(Pa,X_1),Y_1))) ) ),
    file('theBenchmark.p',fact_561_splitE2) ).

fof(fact_562_splitE2,axiom,
    ! [Q_1,Pa,Z_1] :
      ( hBOOL(hAPP_bool_bool(Q_1,hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,Pa),Z_1)))
     => ~ ! [X_1,Y_1] :
            ( Z_1 = hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,X_1),Y_1)
           => ~ hBOOL(hAPP_bool_bool(Q_1,hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(Pa,X_1),Y_1))) ) ),
    file('theBenchmark.p',fact_562_splitE2) ).

fof(fact_563_WTrt__hext__mono,axiom,
    ! [H_b,Pa,Hb,Ea,Eb,Ta] :
      ( hBOOL(wTrt_1(Pa,Hb,Ea,Eb,Ta))
     => ( hBOOL(hext(Hb,H_b))
       => hBOOL(wTrt_1(Pa,H_b,Ea,Eb,Ta)) ) ),
    file('theBenchmark.p',fact_563_WTrt__hext__mono) ).

fof(fact_564_hext__upd__obj,axiom,
    ! [Fs_2,Hb,A,C,Fs] :
      ( hAPP_n546249108on_val(Hb,A) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),Fs))
     => hBOOL(hext(Hb,fun_up2041264236on_val(Hb,A,hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),Fs_2))))) ),
    file('theBenchmark.p',fact_564_hext__upd__obj) ).

fof(fact_565_hext__trans,axiom,
    ! [H_4,Hb,H_b] :
      ( hBOOL(hext(Hb,H_b))
     => ( hBOOL(hext(H_b,H_4))
       => hBOOL(hext(Hb,H_4)) ) ),
    file('theBenchmark.p',fact_565_hext__trans) ).

fof(fact_566_hext__objD,axiom,
    ! [A,C,Fs,Hb,H_b] :
      ( hBOOL(hext(Hb,H_b))
     => ( hAPP_n546249108on_val(Hb,A) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),Fs))
       => ? [Fs_3] : hAPP_n546249108on_val(H_b,A) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),Fs_3)) ) ),
    file('theBenchmark.p',fact_566_hext__objD) ).

fof(fact_567_hext__def,axiom,
    ! [Hb,H_b] :
      ( hBOOL(hext(Hb,H_b))
    <=> ! [A_1,C_1,Fs_1] :
          ( hAPP_n546249108on_val(Hb,A_1) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C_1),Fs_1))
         => ? [Fs_3] : hAPP_n546249108on_val(H_b,A_1) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C_1),Fs_3)) ) ),
    file('theBenchmark.p',fact_567_hext__def) ).

fof(fact_568__092_060D_062___092_060D_062s_Osimps_I6_J,axiom,
    ! [Va_1,Eb,A_2] :
      ( hBOOL(d_list_char(lAss_list_char(Va_1,Eb),A_2))
    <=> hBOOL(d_list_char(Eb,A_2)) ),
    file('theBenchmark.p',fact_568__092_060D_062___092_060D_062s_Osimps_I6_J) ).

fof(fact_569_exp_Osimps_I143_J,axiom,
    ! [A_17,Ty_7,Exp_13,A_16,Exp_12] : block_list_char(A_17,Ty_7,Exp_13) != lAss_list_char(A_16,Exp_12),
    file('theBenchmark.p',fact_569_exp_Osimps_I143_J) ).

fof(fact_570_exp_Osimps_I196_J,axiom,
    ! [A_15,Ty_6,Exp_11,Exp1_7,Exp2_7] : block_list_char(A_15,Ty_6,Exp_11) != seq_list_char(Exp1_7,Exp2_7),
    file('theBenchmark.p',fact_570_exp_Osimps_I196_J) ).

fof(fact_571_exp_Osimps_I142_J,axiom,
    ! [A_14,Exp_10,A_13,Ty_5,Exp_9] : lAss_list_char(A_14,Exp_10) != block_list_char(A_13,Ty_5,Exp_9),
    file('theBenchmark.p',fact_571_exp_Osimps_I142_J) ).

fof(fact_572_exp_Osimps_I3_J,axiom,
    ! [Val_7,Val_6] :
      ( hAPP_v834067052t_char(val_list_char,Val_7) = hAPP_v834067052t_char(val_list_char,Val_6)
    <=> Val_7 = Val_6 ),
    file('theBenchmark.p',fact_572_exp_Osimps_I3_J) ).

fof(fact_573_exp_Osimps_I11_J,axiom,
    ! [Exp1_6,Exp2_6,Exp1_5,Exp2_5] :
      ( seq_list_char(Exp1_6,Exp2_6) = seq_list_char(Exp1_5,Exp2_5)
    <=> ( Exp2_6 = Exp2_5
        & Exp1_6 = Exp1_5 ) ),
    file('theBenchmark.p',fact_573_exp_Osimps_I11_J) ).

fof(fact_574_exp_Osimps_I6_J,axiom,
    ! [A,Exp_8,A_3,Exp_7] :
      ( lAss_list_char(A,Exp_8) = lAss_list_char(A_3,Exp_7)
    <=> ( Exp_8 = Exp_7
        & A = A_3 ) ),
    file('theBenchmark.p',fact_574_exp_Osimps_I6_J) ).

fof(fact_575_exp_Osimps_I10_J,axiom,
    ! [A,Ty_4,Exp_8,A_3,Ty_3,Exp_7] :
      ( block_list_char(A,Ty_4,Exp_8) = block_list_char(A_3,Ty_3,Exp_7)
    <=> ( Exp_8 = Exp_7
        & Ty_4 = Ty_3
        & A = A_3 ) ),
    file('theBenchmark.p',fact_575_exp_Osimps_I10_J) ).

fof(fact_576_exp_Osimps_I84_J,axiom,
    ! [Val_5,Exp1_4,Exp2_4] : hAPP_v834067052t_char(val_list_char,Val_5) != seq_list_char(Exp1_4,Exp2_4),
    file('theBenchmark.p',fact_576_exp_Osimps_I84_J) ).

fof(fact_577_exp_Osimps_I74_J,axiom,
    ! [Val_4,A_12,Exp_6] : hAPP_v834067052t_char(val_list_char,Val_4) != lAss_list_char(A_12,Exp_6),
    file('theBenchmark.p',fact_577_exp_Osimps_I74_J) ).

fof(fact_578_exp_Osimps_I85_J,axiom,
    ! [Exp1_3,Exp2_3,Val_3] : seq_list_char(Exp1_3,Exp2_3) != hAPP_v834067052t_char(val_list_char,Val_3),
    file('theBenchmark.p',fact_578_exp_Osimps_I85_J) ).

fof(fact_579_exp_Osimps_I75_J,axiom,
    ! [A_11,Exp_5,Val_2] : lAss_list_char(A_11,Exp_5) != hAPP_v834067052t_char(val_list_char,Val_2),
    file('theBenchmark.p',fact_579_exp_Osimps_I75_J) ).

fof(fact_580_exp_Osimps_I82_J,axiom,
    ! [Val_1,A_10,Ty_2,Exp_4] : hAPP_v834067052t_char(val_list_char,Val_1) != block_list_char(A_10,Ty_2,Exp_4),
    file('theBenchmark.p',fact_580_exp_Osimps_I82_J) ).

fof(fact_581_exp_Osimps_I83_J,axiom,
    ! [A_9,Ty_1,Exp_3,Val] : block_list_char(A_9,Ty_1,Exp_3) != hAPP_v834067052t_char(val_list_char,Val),
    file('theBenchmark.p',fact_581_exp_Osimps_I83_J) ).

fof(fact_582__092_060D_062___092_060D_062s_Osimps_I3_J,axiom,
    ! [Va,A_2] : hBOOL(d_list_char(hAPP_v834067052t_char(val_list_char,Va),A_2)),
    file('theBenchmark.p',fact_582__092_060D_062___092_060D_062s_Osimps_I3_J) ).

fof(fact_583_exp_Osimps_I145_J,axiom,
    ! [Exp1_2,Exp2_2,A_8,Exp_2] : seq_list_char(Exp1_2,Exp2_2) != lAss_list_char(A_8,Exp_2),
    file('theBenchmark.p',fact_583_exp_Osimps_I145_J) ).

fof(fact_584_exp_Osimps_I144_J,axiom,
    ! [A_7,Exp_1,Exp1_1,Exp2_1] : lAss_list_char(A_7,Exp_1) != seq_list_char(Exp1_1,Exp2_1),
    file('theBenchmark.p',fact_584_exp_Osimps_I144_J) ).

fof(fact_585_exp_Osimps_I197_J,axiom,
    ! [Exp1,Exp2,A_6,Ty,Exp] : seq_list_char(Exp1,Exp2) != block_list_char(A_6,Ty,Exp),
    file('theBenchmark.p',fact_585_exp_Osimps_I197_J) ).

fof(fact_586_hconf__upd__obj,axiom,
    ! [Fs_2,A,C,Fs,Pa,Hb] :
      ( hBOOL(hAPP_f61040418l_bool(hconf_97414254t_char(Pa),Hb))
     => ( hAPP_n546249108on_val(Hb,A) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),Fs))
       => ( hBOOL(hAPP_P1235399154l_bool(oconf_1869808039t_char(Pa,Hb),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),Fs_2)))
         => hBOOL(hAPP_f61040418l_bool(hconf_97414254t_char(Pa),fun_up2041264236on_val(Hb,A,hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),Fs_2))))) ) ) ),
    file('theBenchmark.p',fact_586_hconf__upd__obj) ).

fof(fact_587_redp__redsp_OInitBlockRed,axiom,
    ! [Ta,V_a,Pa,Eb,Hb,Lb,Va_1,Va,E_b,H_b,L_b] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Eb,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),fun_up1149430426on_val(Lb,Va_1,hAPP_val_option_val(some_val,Va)))),E_b),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),L_b)))
     => ( hAPP_l207779698on_val(L_b,Va_1) = hAPP_val_option_val(some_val,V_a)
       => hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,block_list_char(Va_1,Ta,seq_list_char(lAss_list_char(Va_1,hAPP_v834067052t_char(val_list_char,Va)),Eb)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb)),block_list_char(Va_1,Ta,seq_list_char(lAss_list_char(Va_1,hAPP_v834067052t_char(val_list_char,V_a)),E_b))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),fun_up1149430426on_val(L_b,Va_1,hAPP_l207779698on_val(Lb,Va_1))))) ) ),
    file('theBenchmark.p',fact_587_redp__redsp_OInitBlockRed) ).

fof(fact_588_red__reds_OBlockRedSome,axiom,
    ! [Ta,Va,Eb,Hb,Lb,Va_1,E_b,H_b,L_b,Pa] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),fun_up1149430426on_val(Lb,Va_1,none_val)))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),L_b)))),red(Pa)))
     => ( hAPP_l207779698on_val(L_b,Va_1) = hAPP_val_option_val(some_val,Va)
       => ( ~ hBOOL(assigned(Va_1,Eb))
         => hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,block_list_char(Va_1,Ta,Eb)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,block_list_char(Va_1,Ta,seq_list_char(lAss_list_char(Va_1,hAPP_v834067052t_char(val_list_char,Va)),E_b))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),fun_up1149430426on_val(L_b,Va_1,hAPP_l207779698on_val(Lb,Va_1)))))),red(Pa))) ) ) ),
    file('theBenchmark.p',fact_588_red__reds_OBlockRedSome) ).

fof(fact_589_WTrtLAss,axiom,
    ! [Pa,Hb,Eb,T_a,Ea,Va_1,Ta] :
      ( hAPP_l512744617ion_ty(Ea,Va_1) = hAPP_ty_option_ty(some_ty,Ta)
     => ( hBOOL(wTrt_1(Pa,Hb,Ea,Eb,T_a))
       => ( hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(Pa),T_a),Ta))
         => hBOOL(wTrt_1(Pa,Hb,Ea,lAss_list_char(Va_1,Eb),void)) ) ) ),
    file('theBenchmark.p',fact_589_WTrtLAss) ).

fof(fact_590_LAssRedsVal,axiom,
    ! [Va_1,Eb,S,Va,H_b,L_b,Pa] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,Va)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),L_b)))),transi2024712006on_val(red(Pa))))
     => hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,lAss_list_char(Va_1,Eb)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,unit)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),fun_up1149430426on_val(L_b,Va_1,hAPP_val_option_val(some_val,Va)))))),transi2024712006on_val(red(Pa)))) ),
    file('theBenchmark.p',fact_590_LAssRedsVal) ).

fof(fact_591_hextI,axiom,
    ! [H_b,Hb] :
      ( ! [A_1,C_1,Fs_1] :
          ( hAPP_n546249108on_val(Hb,A_1) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C_1),Fs_1))
         => ? [Fs_3] : hAPP_n546249108on_val(H_b,A_1) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C_1),Fs_3)) )
     => hBOOL(hext(Hb,H_b)) ),
    file('theBenchmark.p',fact_591_hextI) ).

fof(fact_592_redp__redsp_ORedLAss,axiom,
    ! [Pa,Va_1,Va,Hb,Lb] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,lAss_list_char(Va_1,hAPP_v834067052t_char(val_list_char,Va)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb)),hAPP_v834067052t_char(val_list_char,unit)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),fun_up1149430426on_val(Lb,Va_1,hAPP_val_option_val(some_val,Va))))),
    file('theBenchmark.p',fact_592_redp__redsp_ORedLAss) ).

fof(fact_593_red__lcl__incr,axiom,
    ! [Eb,H_0,L_0,E_b,H_1,L_1_1,Pa] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_0),L_0))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_1),L_1_1)))),red(Pa)))
     => hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(dom_list_char_val(L_0)),dom_list_char_val(L_1_1))) ),
    file('theBenchmark.p',fact_593_red__lcl__incr) ).

fof(fact_594_lconf__empty,axiom,
    ! [Pa,Hb,Ea] : hBOOL(hAPP_f1001225811y_bool(hAPP_f2060496320y_bool(hAPP_f1213370163y_bool(lconf_496643946t_char(Pa),Hb),hAPP_o538043682on_val(cOMBK_1097134891t_char,none_val)),Ea)),
    file('theBenchmark.p',fact_594_lconf__empty) ).

fof(fact_595_rev__predicate1D,axiom,
    ! [Q_1,Pa,X_2] :
      ( hBOOL(hAPP_list_char_bool(Pa,X_2))
     => ( hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(Pa),Q_1))
       => hBOOL(hAPP_list_char_bool(Q_1,X_2)) ) ),
    file('theBenchmark.p',fact_595_rev__predicate1D) ).

fof(fact_596_predicate1D,axiom,
    ! [X_2,Pa,Q_1] :
      ( hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(Pa),Q_1))
     => ( hBOOL(hAPP_list_char_bool(Pa,X_2))
       => hBOOL(hAPP_list_char_bool(Q_1,X_2)) ) ),
    file('theBenchmark.p',fact_596_predicate1D) ).

fof(fact_597_pred__subset__eq,axiom,
    ! [R_2,S_4] :
      ( hBOOL(hAPP_f483496539l_bool(ord_le1987888477r_bool(hAPP_f1853572245r_bool(hAPP_f1933376467r_bool(cOMBC_36589090l_bool,member1601084734t_char),R_2)),hAPP_f1853572245r_bool(hAPP_f1933376467r_bool(cOMBC_36589090l_bool,member1601084734t_char),S_4)))
    <=> hBOOL(hAPP_f483496539l_bool(ord_le1987888477r_bool(R_2),S_4)) ),
    file('theBenchmark.p',fact_597_pred__subset__eq) ).

fof(fact_598_pred__subset__eq,axiom,
    ! [R_2,S_4] :
      ( hBOOL(hAPP_f515912112l_bool(ord_le117566470r_bool(hAPP_f1666729379r_bool(hAPP_f1020753317r_bool(cOMBC_1297648632l_bool,member1467889965t_char),R_2)),hAPP_f1666729379r_bool(hAPP_f1020753317r_bool(cOMBC_1297648632l_bool,member1467889965t_char),S_4)))
    <=> hBOOL(hAPP_f515912112l_bool(ord_le117566470r_bool(R_2),S_4)) ),
    file('theBenchmark.p',fact_598_pred__subset__eq) ).

fof(fact_599_pred__subset__eq,axiom,
    ! [R_2,S_4] :
      ( hBOOL(hAPP_f458849545l_bool(ord_le1438917387l_bool(hAPP_f1856968213l_bool(hAPP_f677078775l_bool(cOMBC_475083938l_bool,member875476972on_val),R_2)),hAPP_f1856968213l_bool(hAPP_f677078775l_bool(cOMBC_475083938l_bool,member875476972on_val),S_4)))
    <=> hBOOL(hAPP_f458849545l_bool(ord_le1438917387l_bool(R_2),S_4)) ),
    file('theBenchmark.p',fact_599_pred__subset__eq) ).

fof(fact_600_pred__subset__eq,axiom,
    ! [R_2,S_4] :
      ( hBOOL(hAPP_f54304608l_bool(ord_le1568362934t_bool(hAPP_f800510211t_bool(hAPP_f1722879237t_bool(cOMBC_226598744l_bool,member_nat),R_2)),hAPP_f800510211t_bool(hAPP_f1722879237t_bool(cOMBC_226598744l_bool,member_nat),S_4)))
    <=> hBOOL(hAPP_f54304608l_bool(ord_le1568362934t_bool(R_2),S_4)) ),
    file('theBenchmark.p',fact_600_pred__subset__eq) ).

fof(fact_601_pred__subset__eq,axiom,
    ! [R_2,S_4] :
      ( hBOOL(hAPP_f2106398425l_bool(ord_le640323803r_bool(hAPP_f112056853r_bool(hAPP_f1876889431r_bool(cOMBC_148995234l_bool,member1251428284t_char),R_2)),hAPP_f112056853r_bool(hAPP_f1876889431r_bool(cOMBC_148995234l_bool,member1251428284t_char),S_4)))
    <=> hBOOL(hAPP_f2106398425l_bool(ord_le640323803r_bool(R_2),S_4)) ),
    file('theBenchmark.p',fact_601_pred__subset__eq) ).

fof(fact_602_pred__subset__eq,axiom,
    ! [R_2,S_4] :
      ( hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(hAPP_f1371002581r_bool(hAPP_f522372661r_bool(cOMBC_892477410l_bool,member_list_char),R_2)),hAPP_f1371002581r_bool(hAPP_f522372661r_bool(cOMBC_892477410l_bool,member_list_char),S_4)))
    <=> hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(R_2),S_4)) ),
    file('theBenchmark.p',fact_602_pred__subset__eq) ).

fof(fact_603_pred__subset__eq,axiom,
    ! [R_2,S_4] :
      ( hBOOL(hAPP_f1453283057l_bool(ord_le1776148979l_bool(hAPP_f2036784149l_bool(hAPP_f1720452391l_bool(cOMBC_1021753250l_bool,member773094996on_val),R_2)),hAPP_f2036784149l_bool(hAPP_f1720452391l_bool(cOMBC_1021753250l_bool,member773094996on_val),S_4)))
    <=> hBOOL(hAPP_f1453283057l_bool(ord_le1776148979l_bool(R_2),S_4)) ),
    file('theBenchmark.p',fact_603_pred__subset__eq) ).

fof(fact_604_option_Osimps_I2_J,axiom,
    ! [A_5] : none_nat != hAPP_nat_option_nat(some_nat,A_5),
    file('theBenchmark.p',fact_604_option_Osimps_I2_J) ).

fof(fact_605_option_Osimps_I2_J,axiom,
    ! [A_5] : none_ty != hAPP_ty_option_ty(some_ty,A_5),
    file('theBenchmark.p',fact_605_option_Osimps_I2_J) ).

fof(fact_606_option_Osimps_I2_J,axiom,
    ! [A_3] : none_P179726773on_val != hAPP_P1510515380on_val(some_P948696889on_val,A_3),
    file('theBenchmark.p',fact_606_option_Osimps_I2_J) ).

fof(fact_607_option_Osimps_I2_J,axiom,
    ! [A_5] : none_val != hAPP_val_option_val(some_val,A_5),
    file('theBenchmark.p',fact_607_option_Osimps_I2_J) ).

fof(fact_608_option_Osimps_I2_J,axiom,
    ! [A_3] : none_f478147469r_bool != hAPP_f363827556r_bool(some_f80346385r_bool,A_3),
    file('theBenchmark.p',fact_608_option_Osimps_I2_J) ).

fof(fact_609_option_Osimps_I3_J,axiom,
    ! [A_4] : hAPP_nat_option_nat(some_nat,A_4) != none_nat,
    file('theBenchmark.p',fact_609_option_Osimps_I3_J) ).

fof(fact_610_option_Osimps_I3_J,axiom,
    ! [A_4] : hAPP_ty_option_ty(some_ty,A_4) != none_ty,
    file('theBenchmark.p',fact_610_option_Osimps_I3_J) ).

fof(fact_611_option_Osimps_I3_J,axiom,
    ! [A_3] : hAPP_P1510515380on_val(some_P948696889on_val,A_3) != none_P179726773on_val,
    file('theBenchmark.p',fact_611_option_Osimps_I3_J) ).

fof(fact_612_option_Osimps_I3_J,axiom,
    ! [A_4] : hAPP_val_option_val(some_val,A_4) != none_val,
    file('theBenchmark.p',fact_612_option_Osimps_I3_J) ).

fof(fact_613_option_Osimps_I3_J,axiom,
    ! [A_3] : hAPP_f363827556r_bool(some_f80346385r_bool,A_3) != none_f478147469r_bool,
    file('theBenchmark.p',fact_613_option_Osimps_I3_J) ).

fof(fact_614_not__Some__eq,axiom,
    ! [X_2] :
      ( ! [Y_1] : X_2 != hAPP_nat_option_nat(some_nat,Y_1)
    <=> X_2 = none_nat ),
    file('theBenchmark.p',fact_614_not__Some__eq) ).

fof(fact_615_not__Some__eq,axiom,
    ! [X_2] :
      ( ! [Y_1] : X_2 != hAPP_ty_option_ty(some_ty,Y_1)
    <=> X_2 = none_ty ),
    file('theBenchmark.p',fact_615_not__Some__eq) ).

fof(fact_616_not__Some__eq,axiom,
    ! [X_2] :
      ( ! [Y_1] : X_2 != hAPP_P1510515380on_val(some_P948696889on_val,Y_1)
    <=> X_2 = none_P179726773on_val ),
    file('theBenchmark.p',fact_616_not__Some__eq) ).

fof(fact_617_not__Some__eq,axiom,
    ! [X_2] :
      ( ! [Y_1] : X_2 != hAPP_val_option_val(some_val,Y_1)
    <=> X_2 = none_val ),
    file('theBenchmark.p',fact_617_not__Some__eq) ).

fof(fact_618_not__Some__eq,axiom,
    ! [X_2] :
      ( ! [Y_1] : X_2 != hAPP_f363827556r_bool(some_f80346385r_bool,Y_1)
    <=> X_2 = none_f478147469r_bool ),
    file('theBenchmark.p',fact_618_not__Some__eq) ).

fof(fact_619_not__None__eq,axiom,
    ! [X_2] :
      ( X_2 != none_nat
    <=> ? [Y_1] : X_2 = hAPP_nat_option_nat(some_nat,Y_1) ),
    file('theBenchmark.p',fact_619_not__None__eq) ).

fof(fact_620_not__None__eq,axiom,
    ! [X_2] :
      ( X_2 != none_ty
    <=> ? [Y_1] : X_2 = hAPP_ty_option_ty(some_ty,Y_1) ),
    file('theBenchmark.p',fact_620_not__None__eq) ).

fof(fact_621_not__None__eq,axiom,
    ! [X_2] :
      ( X_2 != none_P179726773on_val
    <=> ? [Y_1] : X_2 = hAPP_P1510515380on_val(some_P948696889on_val,Y_1) ),
    file('theBenchmark.p',fact_621_not__None__eq) ).

fof(fact_622_not__None__eq,axiom,
    ! [X_2] :
      ( X_2 != none_val
    <=> ? [Y_1] : X_2 = hAPP_val_option_val(some_val,Y_1) ),
    file('theBenchmark.p',fact_622_not__None__eq) ).

fof(fact_623_not__None__eq,axiom,
    ! [X_2] :
      ( X_2 != none_f478147469r_bool
    <=> ? [Y_1] : X_2 = hAPP_f363827556r_bool(some_f80346385r_bool,Y_1) ),
    file('theBenchmark.p',fact_623_not__None__eq) ).

fof(fact_624_redp__redsp_OLAssRed,axiom,
    ! [Va_1,Pa,Eb,S,E_b,S_2] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Eb,S),E_b),S_2))
     => hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,lAss_list_char(Va_1,Eb),S),lAss_list_char(Va_1,E_b)),S_2)) ),
    file('theBenchmark.p',fact_624_redp__redsp_OLAssRed) ).

fof(fact_625_redp__redsp_OSeqRed,axiom,
    ! [E_2,Pa,Eb,S,E_b,S_2] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Eb,S),E_b),S_2))
     => hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,seq_list_char(Eb,E_2),S),seq_list_char(E_b,E_2)),S_2)) ),
    file('theBenchmark.p',fact_625_redp__redsp_OSeqRed) ).

fof(fact_626_dom__def,axiom,
    ! [M_1] : dom_na996029170on_val(M_1) = collect_nat(hAPP_f800510211t_bool(hAPP_f894608603t_bool(cOMBB_bool_bool_nat,fNot),hAPP_o1566711458t_bool(hAPP_f489569861t_bool(cOMBC_229530231l_bool,hAPP_f1677329295l_bool(hAPP_f1611569977l_bool(cOMBB_731867268ol_nat,fequal1937332960on_val),M_1)),none_P179726773on_val))),
    file('theBenchmark.p',fact_626_dom__def) ).

fof(fact_627_dom__def,axiom,
    ! [M_1] : dom_list_char_val(M_1) = collect_list_char(hAPP_f1371002581r_bool(hAPP_f1861125939r_bool(cOMBB_1091123364t_char,fNot),hAPP_o453398608r_bool(hAPP_f399018025r_bool(cOMBC_442485623l_bool,hAPP_f396807521l_bool(hAPP_f926979333l_bool(cOMBB_1112666310t_char,fequal_option_val),M_1)),none_val))),
    file('theBenchmark.p',fact_627_dom__def) ).

fof(fact_628_domIff,axiom,
    ! [A,M_1] :
      ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A),dom_na996029170on_val(M_1)))
    <=> hAPP_n546249108on_val(M_1,A) != none_P179726773on_val ),
    file('theBenchmark.p',fact_628_domIff) ).

fof(fact_629_domIff,axiom,
    ! [A,M_1] :
      ( hBOOL(hAPP_f986089162l_bool(hAPP_l1903254203l_bool(member_list_char,A),dom_list_char_val(M_1)))
    <=> hAPP_l207779698on_val(M_1,A) != none_val ),
    file('theBenchmark.p',fact_629_domIff) ).

fof(fact_630_redp__redsp_OBlockRedNone,axiom,
    ! [Ta,Pa,Eb,Hb,Lb,Va_1,E_b,H_b,L_b] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Eb,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),fun_up1149430426on_val(Lb,Va_1,none_val))),E_b),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),L_b)))
     => ( hAPP_l207779698on_val(L_b,Va_1) = none_val
       => ( ~ hBOOL(assigned(Va_1,Eb))
         => hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,block_list_char(Va_1,Ta,Eb),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb)),block_list_char(Va_1,Ta,E_b)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),fun_up1149430426on_val(L_b,Va_1,hAPP_l207779698on_val(Lb,Va_1))))) ) ) ),
    file('theBenchmark.p',fact_630_redp__redsp_OBlockRedNone) ).

fof(fact_631_map__add__None,axiom,
    ! [M_1,N,K] :
      ( hAPP_l207779698on_val(map_ad325961431ar_val(M_1,N),K) = none_val
    <=> ( hAPP_l207779698on_val(M_1,K) = none_val
        & hAPP_l207779698on_val(N,K) = none_val ) ),
    file('theBenchmark.p',fact_631_map__add__None) ).

fof(fact_632_empty__upd__none,axiom,
    ! [X_2,X_1] : hAPP_P2094403585on_val(fun_up204312361on_val(hAPP_o1269033393on_val(cOMBK_1867744698t_char,none_val),X_2,none_val),X_1) = none_val,
    file('theBenchmark.p',fact_632_empty__upd__none) ).

fof(fact_633_empty__upd__none,axiom,
    ! [X_2,X_1] : hAPP_n546249108on_val(fun_up2041264236on_val(hAPP_o1576581476on_val(cOMBK_1944287343al_nat,none_P179726773on_val),X_2,none_P179726773on_val),X_1) = none_P179726773on_val,
    file('theBenchmark.p',fact_633_empty__upd__none) ).

fof(fact_634_empty__upd__none,axiom,
    ! [X_2,X_1] : hAPP_l512744617ion_ty(fun_up424764369ion_ty(hAPP_o1240645474ion_ty(cOMBK_1294242658t_char,none_ty),X_2,none_ty),X_1) = none_ty,
    file('theBenchmark.p',fact_634_empty__upd__none) ).

fof(fact_635_empty__upd__none,axiom,
    ! [X_2,X_1] : hAPP_l207779698on_val(fun_up1149430426on_val(hAPP_o538043682on_val(cOMBK_1097134891t_char,none_val),X_2,none_val),X_1) = none_val,
    file('theBenchmark.p',fact_635_empty__upd__none) ).

fof(fact_636_map__add__empty,axiom,
    ! [M_1] : map_ad325961431ar_val(M_1,hAPP_o538043682on_val(cOMBK_1097134891t_char,none_val)) = M_1,
    file('theBenchmark.p',fact_636_map__add__empty) ).

fof(fact_637_empty__map__add,axiom,
    ! [M_1] : map_ad325961431ar_val(hAPP_o538043682on_val(cOMBK_1097134891t_char,none_val),M_1) = M_1,
    file('theBenchmark.p',fact_637_empty__map__add) ).

fof(fact_638_redp__redsp_ORedSeq,axiom,
    ! [Pa,Va,E_2,S] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,seq_list_char(hAPP_v834067052t_char(val_list_char,Va),E_2),S),E_2),S)),
    file('theBenchmark.p',fact_638_redp__redsp_ORedSeq) ).

fof(fact_639_map__upd__nonempty,axiom,
    ! [T_2,K,X_2] :
      ~ ! [X_1] : hAPP_P2094403585on_val(fun_up204312361on_val(T_2,K,hAPP_val_option_val(some_val,X_2)),X_1) = none_val,
    file('theBenchmark.p',fact_639_map__upd__nonempty) ).

fof(fact_640_map__upd__nonempty,axiom,
    ! [T_2,K,X_2] :
      ~ ! [X_1] : hAPP_n546249108on_val(fun_up2041264236on_val(T_2,K,hAPP_P1510515380on_val(some_P948696889on_val,X_2)),X_1) = none_P179726773on_val,
    file('theBenchmark.p',fact_640_map__upd__nonempty) ).

fof(fact_641_map__upd__nonempty,axiom,
    ! [T_2,K,X_2] :
      ~ ! [X_1] : hAPP_l512744617ion_ty(fun_up424764369ion_ty(T_2,K,hAPP_ty_option_ty(some_ty,X_2)),X_1) = none_ty,
    file('theBenchmark.p',fact_641_map__upd__nonempty) ).

fof(fact_642_map__upd__nonempty,axiom,
    ! [T_2,K,X_2] :
      ~ ! [X_1] : hAPP_l207779698on_val(fun_up1149430426on_val(T_2,K,hAPP_val_option_val(some_val,X_2)),X_1) = none_val,
    file('theBenchmark.p',fact_642_map__upd__nonempty) ).

fof(fact_643_redp__redsp_ORedBlock,axiom,
    ! [Pa,Va_1,Ta,U,S] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,block_list_char(Va_1,Ta,hAPP_v834067052t_char(val_list_char,U)),S),hAPP_v834067052t_char(val_list_char,U)),S)),
    file('theBenchmark.p',fact_643_redp__redsp_ORedBlock) ).

fof(fact_644_map__add__SomeD,axiom,
    ! [M_1,N,K,X_2] :
      ( hAPP_l207779698on_val(map_ad325961431ar_val(M_1,N),K) = hAPP_val_option_val(some_val,X_2)
     => ( ( hAPP_l207779698on_val(M_1,K) = hAPP_val_option_val(some_val,X_2)
          & hAPP_l207779698on_val(N,K) = none_val )
        | hAPP_l207779698on_val(N,K) = hAPP_val_option_val(some_val,X_2) ) ),
    file('theBenchmark.p',fact_644_map__add__SomeD) ).

fof(fact_645_map__add__Some__iff,axiom,
    ! [M_1,N,K,X_2] :
      ( hAPP_l207779698on_val(map_ad325961431ar_val(M_1,N),K) = hAPP_val_option_val(some_val,X_2)
    <=> ( ( hAPP_l207779698on_val(M_1,K) = hAPP_val_option_val(some_val,X_2)
          & hAPP_l207779698on_val(N,K) = none_val )
        | hAPP_l207779698on_val(N,K) = hAPP_val_option_val(some_val,X_2) ) ),
    file('theBenchmark.p',fact_645_map__add__Some__iff) ).

fof(fact_646_SeqReds,axiom,
    ! [E_2,Eb,S,E_b,S_2,Pa] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_2))),transi2024712006on_val(red(Pa))))
     => hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,seq_list_char(Eb,E_2)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,seq_list_char(E_b,E_2)),S_2))),transi2024712006on_val(red(Pa)))) ),
    file('theBenchmark.p',fact_646_SeqReds) ).

fof(fact_647_LAssReds,axiom,
    ! [Va_1,Eb,S,E_b,S_2,Pa] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_2))),transi2024712006on_val(red(Pa))))
     => hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,lAss_list_char(Va_1,Eb)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,lAss_list_char(Va_1,E_b)),S_2))),transi2024712006on_val(red(Pa)))) ),
    file('theBenchmark.p',fact_647_LAssReds) ).

fof(fact_648_redp__redsp_OBlockRedSome,axiom,
    ! [Ta,Va,Pa,Eb,Hb,Lb,Va_1,E_b,H_b,L_b] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Eb,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),fun_up1149430426on_val(Lb,Va_1,none_val))),E_b),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),L_b)))
     => ( hAPP_l207779698on_val(L_b,Va_1) = hAPP_val_option_val(some_val,Va)
       => ( ~ hBOOL(assigned(Va_1,Eb))
         => hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,block_list_char(Va_1,Ta,Eb),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb)),block_list_char(Va_1,Ta,seq_list_char(lAss_list_char(Va_1,hAPP_v834067052t_char(val_list_char,Va)),E_b))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),fun_up1149430426on_val(L_b,Va_1,hAPP_l207779698on_val(Lb,Va_1))))) ) ) ),
    file('theBenchmark.p',fact_648_redp__redsp_OBlockRedSome) ).

fof(fact_649_SeqReds2,axiom,
    ! [E_2,E_2_1,S_2_1,E_1_1,S_0,V_1_2,S_1,Pa] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_1_1),S_0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,V_1_2)),S_1))),transi2024712006on_val(red(Pa))))
     => ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_2),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_2_1),S_2_1))),transi2024712006on_val(red(Pa))))
       => hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,seq_list_char(E_1_1,E_2)),S_0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_2_1),S_2_1))),transi2024712006on_val(red(Pa)))) ) ),
    file('theBenchmark.p',fact_649_SeqReds2) ).

fof(fact_650_redp__red__eq,axiom,
    ! [Pa,X_1,Xa,Xb,Xc] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,X_1,Xa),Xb),Xc))
    <=> hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,X_1),Xa)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Xb),Xc))),red(Pa))) ),
    file('theBenchmark.p',fact_650_redp__red__eq) ).

fof(fact_651_hconfD,axiom,
    ! [A,Obj,Pa,Hb] :
      ( hBOOL(hAPP_f61040418l_bool(hconf_97414254t_char(Pa),Hb))
     => ( hAPP_n546249108on_val(Hb,A) = hAPP_P1510515380on_val(some_P948696889on_val,Obj)
       => hBOOL(hAPP_P1235399154l_bool(oconf_1869808039t_char(Pa,Hb),Obj)) ) ),
    file('theBenchmark.p',fact_651_hconfD) ).

fof(fact_652_redp__redsp_ORedInitBlock,axiom,
    ! [Pa,Va_1,Ta,Va,U,S] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,block_list_char(Va_1,Ta,seq_list_char(lAss_list_char(Va_1,hAPP_v834067052t_char(val_list_char,Va)),hAPP_v834067052t_char(val_list_char,U))),S),hAPP_v834067052t_char(val_list_char,U)),S)),
    file('theBenchmark.p',fact_652_redp__redsp_ORedInitBlock) ).

fof(fact_653_red__reds_OBlockRedNone,axiom,
    ! [Ta,Eb,Hb,Lb,Va_1,E_b,H_b,L_b,Pa] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),fun_up1149430426on_val(Lb,Va_1,none_val)))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),L_b)))),red(Pa)))
     => ( hAPP_l207779698on_val(L_b,Va_1) = none_val
       => ( ~ hBOOL(assigned(Va_1,Eb))
         => hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,block_list_char(Va_1,Ta,Eb)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,block_list_char(Va_1,Ta,E_b)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),fun_up1149430426on_val(L_b,Va_1,hAPP_l207779698on_val(Lb,Va_1)))))),red(Pa))) ) ) ),
    file('theBenchmark.p',fact_653_red__reds_OBlockRedNone) ).

fof(fact_654_Red__lcl__add,axiom,
    ! [L_0,Eb,Hb,Lb,E_b,H_b,L_b,Pa] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),L_b)))),transi2024712006on_val(red(Pa))))
     => hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),map_ad325961431ar_val(L_0,Lb)))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),map_ad325961431ar_val(L_0,L_b))))),transi2024712006on_val(red(Pa)))) ),
    file('theBenchmark.p',fact_654_Red__lcl__add) ).

fof(fact_655_WTrt__elim__cases_I1_J,axiom,
    ! [Pa,Hb,Ea,Va,Eb,Ta] :
      ( hBOOL(wTrt_1(Pa,Hb,Ea,lAss_list_char(Va,Eb),Ta))
     => ~ ( Ta = void
         => ! [T_4] :
              ( hAPP_l512744617ion_ty(Ea,Va) = hAPP_ty_option_ty(some_ty,T_4)
             => ! [T_5] :
                  ( hBOOL(wTrt_1(Pa,Hb,Ea,Eb,T_5))
                 => ~ hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(Pa),T_5),T_4)) ) ) ) ),
    file('theBenchmark.p',fact_655_WTrt__elim__cases_I1_J) ).

fof(fact_656_InitBlockReds,axiom,
    ! [Ta,Eb,Hb,Lb,Va_1,Va,E_b,H_b,L_b,Pa] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),fun_up1149430426on_val(Lb,Va_1,hAPP_val_option_val(some_val,Va))))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),L_b)))),transi2024712006on_val(red(Pa))))
     => hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,block_list_char(Va_1,Ta,seq_list_char(lAss_list_char(Va_1,hAPP_v834067052t_char(val_list_char,Va)),Eb))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,block_list_char(Va_1,Ta,seq_list_char(lAss_list_char(Va_1,hAPP_v834067052t_char(val_list_char,hAPP_option_val_val(the_val,hAPP_l207779698on_val(L_b,Va_1)))),E_b))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),fun_up1149430426on_val(L_b,Va_1,hAPP_l207779698on_val(Lb,Va_1)))))),transi2024712006on_val(red(Pa)))) ),
    file('theBenchmark.p',fact_656_InitBlockReds) ).

fof(fact_657_InitBlockRedsFinal,axiom,
    ! [Ta,Eb,Hb,Lb,Va_1,Va,E_b,H_b,L_b,Pa] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),fun_up1149430426on_val(Lb,Va_1,hAPP_val_option_val(some_val,Va))))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),L_b)))),transi2024712006on_val(red(Pa))))
     => ( hBOOL(final_list_char(E_b))
       => hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,block_list_char(Va_1,Ta,seq_list_char(lAss_list_char(Va_1,hAPP_v834067052t_char(val_list_char,Va)),Eb))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),fun_up1149430426on_val(L_b,Va_1,hAPP_l207779698on_val(Lb,Va_1)))))),transi2024712006on_val(red(Pa)))) ) ),
    file('theBenchmark.p',fact_657_InitBlockRedsFinal) ).

fof(fact_658_assigned__def,axiom,
    ! [Va_1,Eb] :
      ( hBOOL(assigned(Va_1,Eb))
    <=> ? [V_2,E_1] : Eb = seq_list_char(lAss_list_char(Va_1,hAPP_v834067052t_char(val_list_char,V_2)),E_1) ),
    file('theBenchmark.p',fact_658_assigned__def) ).

fof(fact_659_rtrancl_Ortrancl__refl,axiom,
    ! [A,R_1] : hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A),A)),transi374442731on_val(R_1))),
    file('theBenchmark.p',fact_659_rtrancl_Ortrancl__refl) ).

fof(fact_660_rtrancl_Ortrancl__refl,axiom,
    ! [A,R_1] : hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A),A)),transi1395422419t_char(R_1))),
    file('theBenchmark.p',fact_660_rtrancl_Ortrancl__refl) ).

fof(fact_661_rtrancl_Ortrancl__refl,axiom,
    ! [A,R_1] : hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A),A)),transi2024712006on_val(R_1))),
    file('theBenchmark.p',fact_661_rtrancl_Ortrancl__refl) ).

fof(fact_662_rtrancl_Ortrancl__refl,axiom,
    ! [A,R_1] : hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A),A)),transi935034983cl_val(R_1))),
    file('theBenchmark.p',fact_662_rtrancl_Ortrancl__refl) ).

fof(fact_663_BlockRedsFinal,axiom,
    ! [Ta,H_0,L_0,Va_1,E_0,S_0,E_2,H_2,L_2,Pa] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_0),S_0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_2),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_2),L_2)))),transi2024712006on_val(red(Pa))))
     => ( hBOOL(final_list_char(E_2))
       => ( S_0 = hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_0),fun_up1149430426on_val(L_0,Va_1,none_val))
         => hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,block_list_char(Va_1,Ta,E_0)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_0),L_0))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_2),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_2),fun_up1149430426on_val(L_2,Va_1,hAPP_l207779698on_val(L_0,Va_1)))))),transi2024712006on_val(red(Pa)))) ) ) ),
    file('theBenchmark.p',fact_663_BlockRedsFinal) ).

fof(fact_664_oconf__fupd,axiom,
    ! [Fs,Hb,Va,Pa,C,F,Ta,D] :
      ( hBOOL(hAPP_list_char_bool(has_fi1183600461t_char(Pa,C,F,Ta),D))
     => ( hBOOL(conf_P373316194t_char(Pa,Hb,Va,Ta))
       => ( hBOOL(hAPP_P1235399154l_bool(oconf_1869808039t_char(Pa,Hb),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),Fs)))
         => hBOOL(hAPP_P1235399154l_bool(oconf_1869808039t_char(Pa,Hb),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),fun_up204312361on_val(Fs,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,F),D),hAPP_val_option_val(some_val,Va))))) ) ) ),
    file('theBenchmark.p',fact_664_oconf__fupd) ).

fof(fact_665_r__into__rtrancl,axiom,
    ! [P_1,R_1] :
      ( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,P_1),R_1))
     => hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,P_1),transi374442731on_val(R_1))) ),
    file('theBenchmark.p',fact_665_r__into__rtrancl) ).

fof(fact_666_r__into__rtrancl,axiom,
    ! [P_1,R_1] :
      ( hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,P_1),R_1))
     => hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,P_1),transi1395422419t_char(R_1))) ),
    file('theBenchmark.p',fact_666_r__into__rtrancl) ).

fof(fact_667_r__into__rtrancl,axiom,
    ! [P_1,R_1] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,P_1),R_1))
     => hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,P_1),transi2024712006on_val(R_1))) ),
    file('theBenchmark.p',fact_667_r__into__rtrancl) ).

fof(fact_668_equalityI,axiom,
    ! [A_2,B_1] :
      ( hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(A_2),B_1))
     => ( hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(B_1),A_2))
       => A_2 = B_1 ) ),
    file('theBenchmark.p',fact_668_equalityI) ).

fof(fact_669_subsetD,axiom,
    ! [C_2,A_2,B_1] :
      ( hBOOL(hAPP_f483496539l_bool(ord_le1987888477r_bool(A_2),B_1))
     => ( hBOOL(hAPP_f483496539l_bool(hAPP_P7095645l_bool(member1601084734t_char,C_2),A_2))
       => hBOOL(hAPP_f483496539l_bool(hAPP_P7095645l_bool(member1601084734t_char,C_2),B_1)) ) ),
    file('theBenchmark.p',fact_669_subsetD) ).

fof(fact_670_subsetD,axiom,
    ! [C_2,A_2,B_1] :
      ( hBOOL(hAPP_f515912112l_bool(ord_le117566470r_bool(A_2),B_1))
     => ( hBOOL(hAPP_f515912112l_bool(hAPP_P205570445l_bool(member1467889965t_char,C_2),A_2))
       => hBOOL(hAPP_f515912112l_bool(hAPP_P205570445l_bool(member1467889965t_char,C_2),B_1)) ) ),
    file('theBenchmark.p',fact_670_subsetD) ).

fof(fact_671_subsetD,axiom,
    ! [C_2,A_2,B_1] :
      ( hBOOL(hAPP_f458849545l_bool(ord_le1438917387l_bool(A_2),B_1))
     => ( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,C_2),A_2))
       => hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,C_2),B_1)) ) ),
    file('theBenchmark.p',fact_671_subsetD) ).

fof(fact_672_subsetD,axiom,
    ! [C_2,A_2,B_1] :
      ( hBOOL(hAPP_f54304608l_bool(ord_le1568362934t_bool(A_2),B_1))
     => ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,C_2),A_2))
       => hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,C_2),B_1)) ) ),
    file('theBenchmark.p',fact_672_subsetD) ).

fof(fact_673_subsetD,axiom,
    ! [C_2,A_2,B_1] :
      ( hBOOL(hAPP_f2106398425l_bool(ord_le640323803r_bool(A_2),B_1))
     => ( hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,C_2),A_2))
       => hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,C_2),B_1)) ) ),
    file('theBenchmark.p',fact_673_subsetD) ).

fof(fact_674_subsetD,axiom,
    ! [C_2,A_2,B_1] :
      ( hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(A_2),B_1))
     => ( hBOOL(hAPP_f986089162l_bool(hAPP_l1903254203l_bool(member_list_char,C_2),A_2))
       => hBOOL(hAPP_f986089162l_bool(hAPP_l1903254203l_bool(member_list_char,C_2),B_1)) ) ),
    file('theBenchmark.p',fact_674_subsetD) ).

fof(fact_675_subsetD,axiom,
    ! [C_2,A_2,B_1] :
      ( hBOOL(hAPP_f1453283057l_bool(ord_le1776148979l_bool(A_2),B_1))
     => ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,C_2),A_2))
       => hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,C_2),B_1)) ) ),
    file('theBenchmark.p',fact_675_subsetD) ).

fof(fact_676_rtrancl__mono,axiom,
    ! [R_1,S] :
      ( hBOOL(hAPP_f458849545l_bool(ord_le1438917387l_bool(R_1),S))
     => hBOOL(hAPP_f458849545l_bool(ord_le1438917387l_bool(transi374442731on_val(R_1)),transi374442731on_val(S))) ),
    file('theBenchmark.p',fact_676_rtrancl__mono) ).

fof(fact_677_rtrancl__mono,axiom,
    ! [R_1,S] :
      ( hBOOL(hAPP_f2106398425l_bool(ord_le640323803r_bool(R_1),S))
     => hBOOL(hAPP_f2106398425l_bool(ord_le640323803r_bool(transi1395422419t_char(R_1)),transi1395422419t_char(S))) ),
    file('theBenchmark.p',fact_677_rtrancl__mono) ).

fof(fact_678_rtrancl__mono,axiom,
    ! [R_1,S] :
      ( hBOOL(hAPP_f1453283057l_bool(ord_le1776148979l_bool(R_1),S))
     => hBOOL(hAPP_f1453283057l_bool(ord_le1776148979l_bool(transi2024712006on_val(R_1)),transi2024712006on_val(S))) ),
    file('theBenchmark.p',fact_678_rtrancl__mono) ).

fof(fact_679_rtrancl__subset,axiom,
    ! [R_2,S_4] :
      ( hBOOL(hAPP_f458849545l_bool(ord_le1438917387l_bool(R_2),S_4))
     => ( hBOOL(hAPP_f458849545l_bool(ord_le1438917387l_bool(S_4),transi374442731on_val(R_2)))
       => transi374442731on_val(S_4) = transi374442731on_val(R_2) ) ),
    file('theBenchmark.p',fact_679_rtrancl__subset) ).

fof(fact_680_rtrancl__subset,axiom,
    ! [R_2,S_4] :
      ( hBOOL(hAPP_f2106398425l_bool(ord_le640323803r_bool(R_2),S_4))
     => ( hBOOL(hAPP_f2106398425l_bool(ord_le640323803r_bool(S_4),transi1395422419t_char(R_2)))
       => transi1395422419t_char(S_4) = transi1395422419t_char(R_2) ) ),
    file('theBenchmark.p',fact_680_rtrancl__subset) ).

fof(fact_681_rtrancl__subset,axiom,
    ! [R_2,S_4] :
      ( hBOOL(hAPP_f1453283057l_bool(ord_le1776148979l_bool(R_2),S_4))
     => ( hBOOL(hAPP_f1453283057l_bool(ord_le1776148979l_bool(S_4),transi2024712006on_val(R_2)))
       => transi2024712006on_val(S_4) = transi2024712006on_val(R_2) ) ),
    file('theBenchmark.p',fact_681_rtrancl__subset) ).

fof(fact_682_rtrancl__subset__rtrancl,axiom,
    ! [R_1,S] :
      ( hBOOL(hAPP_f458849545l_bool(ord_le1438917387l_bool(R_1),transi374442731on_val(S)))
     => hBOOL(hAPP_f458849545l_bool(ord_le1438917387l_bool(transi374442731on_val(R_1)),transi374442731on_val(S))) ),
    file('theBenchmark.p',fact_682_rtrancl__subset__rtrancl) ).

fof(fact_683_rtrancl__subset__rtrancl,axiom,
    ! [R_1,S] :
      ( hBOOL(hAPP_f2106398425l_bool(ord_le640323803r_bool(R_1),transi1395422419t_char(S)))
     => hBOOL(hAPP_f2106398425l_bool(ord_le640323803r_bool(transi1395422419t_char(R_1)),transi1395422419t_char(S))) ),
    file('theBenchmark.p',fact_683_rtrancl__subset__rtrancl) ).

fof(fact_684_rtrancl__subset__rtrancl,axiom,
    ! [R_1,S] :
      ( hBOOL(hAPP_f1453283057l_bool(ord_le1776148979l_bool(R_1),transi2024712006on_val(S)))
     => hBOOL(hAPP_f1453283057l_bool(ord_le1776148979l_bool(transi2024712006on_val(R_1)),transi2024712006on_val(S))) ),
    file('theBenchmark.p',fact_684_rtrancl__subset__rtrancl) ).

fof(fact_685_the_Osimps,axiom,
    ! [X_3] : hAPP_option_val_val(the_val,hAPP_val_option_val(some_val,X_3)) = X_3,
    file('theBenchmark.p',fact_685_the_Osimps) ).

fof(fact_686_the_Osimps,axiom,
    ! [X_3] : hAPP_option_nat_nat(the_nat,hAPP_nat_option_nat(some_nat,X_3)) = X_3,
    file('theBenchmark.p',fact_686_the_Osimps) ).

fof(fact_687_the_Osimps,axiom,
    ! [X_2] : hAPP_o1977518472on_val(the_Pr431167171on_val,hAPP_P1510515380on_val(some_P948696889on_val,X_2)) = X_2,
    file('theBenchmark.p',fact_687_the_Osimps) ).

fof(fact_688_the_Osimps,axiom,
    ! [X_3] : hAPP_option_ty_ty(the_ty,hAPP_ty_option_ty(some_ty,X_3)) = X_3,
    file('theBenchmark.p',fact_688_the_Osimps) ).

fof(fact_689_the_Osimps,axiom,
    ! [X_2] : hAPP_o285151112r_bool(the_fu297177755r_bool,hAPP_f363827556r_bool(some_f80346385r_bool,X_2)) = X_2,
    file('theBenchmark.p',fact_689_the_Osimps) ).

fof(fact_690_subset__refl,axiom,
    ! [A_2] : hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(A_2),A_2)),
    file('theBenchmark.p',fact_690_subset__refl) ).

fof(fact_691_set__eq__subset,axiom,
    ! [A_2,B_1] :
      ( A_2 = B_1
    <=> ( hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(B_1),A_2))
        & hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(A_2),B_1)) ) ),
    file('theBenchmark.p',fact_691_set__eq__subset) ).

fof(fact_692_equalityD1,axiom,
    ! [A_2,B_1] :
      ( A_2 = B_1
     => hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(A_2),B_1)) ),
    file('theBenchmark.p',fact_692_equalityD1) ).

fof(fact_693_equalityD2,axiom,
    ! [A_2,B_1] :
      ( A_2 = B_1
     => hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(B_1),A_2)) ),
    file('theBenchmark.p',fact_693_equalityD2) ).

fof(fact_694_in__mono,axiom,
    ! [X_2,A_2,B_1] :
      ( hBOOL(hAPP_f483496539l_bool(ord_le1987888477r_bool(A_2),B_1))
     => ( hBOOL(hAPP_f483496539l_bool(hAPP_P7095645l_bool(member1601084734t_char,X_2),A_2))
       => hBOOL(hAPP_f483496539l_bool(hAPP_P7095645l_bool(member1601084734t_char,X_2),B_1)) ) ),
    file('theBenchmark.p',fact_694_in__mono) ).

fof(fact_695_in__mono,axiom,
    ! [X_2,A_2,B_1] :
      ( hBOOL(hAPP_f515912112l_bool(ord_le117566470r_bool(A_2),B_1))
     => ( hBOOL(hAPP_f515912112l_bool(hAPP_P205570445l_bool(member1467889965t_char,X_2),A_2))
       => hBOOL(hAPP_f515912112l_bool(hAPP_P205570445l_bool(member1467889965t_char,X_2),B_1)) ) ),
    file('theBenchmark.p',fact_695_in__mono) ).

fof(fact_696_in__mono,axiom,
    ! [X_2,A_2,B_1] :
      ( hBOOL(hAPP_f458849545l_bool(ord_le1438917387l_bool(A_2),B_1))
     => ( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,X_2),A_2))
       => hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,X_2),B_1)) ) ),
    file('theBenchmark.p',fact_696_in__mono) ).

fof(fact_697_in__mono,axiom,
    ! [X_2,A_2,B_1] :
      ( hBOOL(hAPP_f54304608l_bool(ord_le1568362934t_bool(A_2),B_1))
     => ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_2),A_2))
       => hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_2),B_1)) ) ),
    file('theBenchmark.p',fact_697_in__mono) ).

fof(fact_698_in__mono,axiom,
    ! [X_2,A_2,B_1] :
      ( hBOOL(hAPP_f2106398425l_bool(ord_le640323803r_bool(A_2),B_1))
     => ( hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,X_2),A_2))
       => hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,X_2),B_1)) ) ),
    file('theBenchmark.p',fact_698_in__mono) ).

fof(fact_699_in__mono,axiom,
    ! [X_2,A_2,B_1] :
      ( hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(A_2),B_1))
     => ( hBOOL(hAPP_f986089162l_bool(hAPP_l1903254203l_bool(member_list_char,X_2),A_2))
       => hBOOL(hAPP_f986089162l_bool(hAPP_l1903254203l_bool(member_list_char,X_2),B_1)) ) ),
    file('theBenchmark.p',fact_699_in__mono) ).

fof(fact_700_in__mono,axiom,
    ! [X_2,A_2,B_1] :
      ( hBOOL(hAPP_f1453283057l_bool(ord_le1776148979l_bool(A_2),B_1))
     => ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,X_2),A_2))
       => hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,X_2),B_1)) ) ),
    file('theBenchmark.p',fact_700_in__mono) ).

fof(fact_701_set__rev__mp,axiom,
    ! [B_1,X_2,A_2] :
      ( hBOOL(hAPP_f483496539l_bool(hAPP_P7095645l_bool(member1601084734t_char,X_2),A_2))
     => ( hBOOL(hAPP_f483496539l_bool(ord_le1987888477r_bool(A_2),B_1))
       => hBOOL(hAPP_f483496539l_bool(hAPP_P7095645l_bool(member1601084734t_char,X_2),B_1)) ) ),
    file('theBenchmark.p',fact_701_set__rev__mp) ).

fof(fact_702_set__rev__mp,axiom,
    ! [B_1,X_2,A_2] :
      ( hBOOL(hAPP_f515912112l_bool(hAPP_P205570445l_bool(member1467889965t_char,X_2),A_2))
     => ( hBOOL(hAPP_f515912112l_bool(ord_le117566470r_bool(A_2),B_1))
       => hBOOL(hAPP_f515912112l_bool(hAPP_P205570445l_bool(member1467889965t_char,X_2),B_1)) ) ),
    file('theBenchmark.p',fact_702_set__rev__mp) ).

fof(fact_703_set__rev__mp,axiom,
    ! [B_1,X_2,A_2] :
      ( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,X_2),A_2))
     => ( hBOOL(hAPP_f458849545l_bool(ord_le1438917387l_bool(A_2),B_1))
       => hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,X_2),B_1)) ) ),
    file('theBenchmark.p',fact_703_set__rev__mp) ).

fof(fact_704_set__rev__mp,axiom,
    ! [B_1,X_2,A_2] :
      ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_2),A_2))
     => ( hBOOL(hAPP_f54304608l_bool(ord_le1568362934t_bool(A_2),B_1))
       => hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_2),B_1)) ) ),
    file('theBenchmark.p',fact_704_set__rev__mp) ).

fof(fact_705_set__rev__mp,axiom,
    ! [B_1,X_2,A_2] :
      ( hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,X_2),A_2))
     => ( hBOOL(hAPP_f2106398425l_bool(ord_le640323803r_bool(A_2),B_1))
       => hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,X_2),B_1)) ) ),
    file('theBenchmark.p',fact_705_set__rev__mp) ).

fof(fact_706_set__rev__mp,axiom,
    ! [B_1,X_2,A_2] :
      ( hBOOL(hAPP_f986089162l_bool(hAPP_l1903254203l_bool(member_list_char,X_2),A_2))
     => ( hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(A_2),B_1))
       => hBOOL(hAPP_f986089162l_bool(hAPP_l1903254203l_bool(member_list_char,X_2),B_1)) ) ),
    file('theBenchmark.p',fact_706_set__rev__mp) ).

fof(fact_707_set__rev__mp,axiom,
    ! [B_1,X_2,A_2] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,X_2),A_2))
     => ( hBOOL(hAPP_f1453283057l_bool(ord_le1776148979l_bool(A_2),B_1))
       => hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,X_2),B_1)) ) ),
    file('theBenchmark.p',fact_707_set__rev__mp) ).

fof(fact_708_set__mp,axiom,
    ! [X_2,A_2,B_1] :
      ( hBOOL(hAPP_f483496539l_bool(ord_le1987888477r_bool(A_2),B_1))
     => ( hBOOL(hAPP_f483496539l_bool(hAPP_P7095645l_bool(member1601084734t_char,X_2),A_2))
       => hBOOL(hAPP_f483496539l_bool(hAPP_P7095645l_bool(member1601084734t_char,X_2),B_1)) ) ),
    file('theBenchmark.p',fact_708_set__mp) ).

fof(fact_709_set__mp,axiom,
    ! [X_2,A_2,B_1] :
      ( hBOOL(hAPP_f515912112l_bool(ord_le117566470r_bool(A_2),B_1))
     => ( hBOOL(hAPP_f515912112l_bool(hAPP_P205570445l_bool(member1467889965t_char,X_2),A_2))
       => hBOOL(hAPP_f515912112l_bool(hAPP_P205570445l_bool(member1467889965t_char,X_2),B_1)) ) ),
    file('theBenchmark.p',fact_709_set__mp) ).

fof(fact_710_set__mp,axiom,
    ! [X_2,A_2,B_1] :
      ( hBOOL(hAPP_f458849545l_bool(ord_le1438917387l_bool(A_2),B_1))
     => ( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,X_2),A_2))
       => hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,X_2),B_1)) ) ),
    file('theBenchmark.p',fact_710_set__mp) ).

fof(fact_711_set__mp,axiom,
    ! [X_2,A_2,B_1] :
      ( hBOOL(hAPP_f54304608l_bool(ord_le1568362934t_bool(A_2),B_1))
     => ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_2),A_2))
       => hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_2),B_1)) ) ),
    file('theBenchmark.p',fact_711_set__mp) ).

fof(fact_712_set__mp,axiom,
    ! [X_2,A_2,B_1] :
      ( hBOOL(hAPP_f2106398425l_bool(ord_le640323803r_bool(A_2),B_1))
     => ( hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,X_2),A_2))
       => hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,X_2),B_1)) ) ),
    file('theBenchmark.p',fact_712_set__mp) ).

fof(fact_713_set__mp,axiom,
    ! [X_2,A_2,B_1] :
      ( hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(A_2),B_1))
     => ( hBOOL(hAPP_f986089162l_bool(hAPP_l1903254203l_bool(member_list_char,X_2),A_2))
       => hBOOL(hAPP_f986089162l_bool(hAPP_l1903254203l_bool(member_list_char,X_2),B_1)) ) ),
    file('theBenchmark.p',fact_713_set__mp) ).

fof(fact_714_set__mp,axiom,
    ! [X_2,A_2,B_1] :
      ( hBOOL(hAPP_f1453283057l_bool(ord_le1776148979l_bool(A_2),B_1))
     => ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,X_2),A_2))
       => hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,X_2),B_1)) ) ),
    file('theBenchmark.p',fact_714_set__mp) ).

fof(fact_715_subset__trans,axiom,
    ! [C,A_2,B_1] :
      ( hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(A_2),B_1))
     => ( hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(B_1),C))
       => hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(A_2),C)) ) ),
    file('theBenchmark.p',fact_715_subset__trans) ).

fof(fact_716_equalityE,axiom,
    ! [A_2,B_1] :
      ( A_2 = B_1
     => ~ ( hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(A_2),B_1))
         => ~ hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(B_1),A_2)) ) ),
    file('theBenchmark.p',fact_716_equalityE) ).

fof(fact_717_hext__new,axiom,
    ! [X_2,Hb,A] :
      ( hAPP_n546249108on_val(Hb,A) = none_P179726773on_val
     => hBOOL(hext(Hb,fun_up2041264236on_val(Hb,A,hAPP_P1510515380on_val(some_P948696889on_val,X_2)))) ),
    file('theBenchmark.p',fact_717_hext__new) ).

fof(fact_718_rtrancl__idemp,axiom,
    ! [R_1] : transi374442731on_val(transi374442731on_val(R_1)) = transi374442731on_val(R_1),
    file('theBenchmark.p',fact_718_rtrancl__idemp) ).

fof(fact_719_rtrancl__idemp,axiom,
    ! [R_1] : transi1395422419t_char(transi1395422419t_char(R_1)) = transi1395422419t_char(R_1),
    file('theBenchmark.p',fact_719_rtrancl__idemp) ).

fof(fact_720_rtrancl__idemp,axiom,
    ! [R_1] : transi2024712006on_val(transi2024712006on_val(R_1)) = transi2024712006on_val(R_1),
    file('theBenchmark.p',fact_720_rtrancl__idemp) ).

fof(fact_721_hconf__new,axiom,
    ! [Obj,A,Pa,Hb] :
      ( hBOOL(hAPP_f61040418l_bool(hconf_97414254t_char(Pa),Hb))
     => ( hAPP_n546249108on_val(Hb,A) = none_P179726773on_val
       => ( hBOOL(hAPP_P1235399154l_bool(oconf_1869808039t_char(Pa,Hb),Obj))
         => hBOOL(hAPP_f61040418l_bool(hconf_97414254t_char(Pa),fun_up2041264236on_val(Hb,A,hAPP_P1510515380on_val(some_P948696889on_val,Obj)))) ) ) ),
    file('theBenchmark.p',fact_721_hconf__new) ).

fof(fact_722_converse__rtrancl__into__rtrancl,axiom,
    ! [C_2,A,B,R_1] :
      ( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A),B)),R_1))
     => ( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,B),C_2)),transi374442731on_val(R_1)))
       => hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A),C_2)),transi374442731on_val(R_1))) ) ),
    file('theBenchmark.p',fact_722_converse__rtrancl__into__rtrancl) ).

fof(fact_723_converse__rtrancl__into__rtrancl,axiom,
    ! [C_2,A,B,R_1] :
      ( hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A),B)),R_1))
     => ( hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,B),C_2)),transi1395422419t_char(R_1)))
       => hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A),C_2)),transi1395422419t_char(R_1))) ) ),
    file('theBenchmark.p',fact_723_converse__rtrancl__into__rtrancl) ).

fof(fact_724_converse__rtrancl__into__rtrancl,axiom,
    ! [C_2,A,B,R_1] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A),B)),R_1))
     => ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,B),C_2)),transi2024712006on_val(R_1)))
       => hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A),C_2)),transi2024712006on_val(R_1))) ) ),
    file('theBenchmark.p',fact_724_converse__rtrancl__into__rtrancl) ).

fof(fact_725_converse__rtrancl__into__rtrancl,axiom,
    ! [C_2,A,B,R_1] :
      ( hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A),B)),R_1))
     => ( hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,B),C_2)),transi935034983cl_val(R_1)))
       => hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A),C_2)),transi935034983cl_val(R_1))) ) ),
    file('theBenchmark.p',fact_725_converse__rtrancl__into__rtrancl) ).

fof(fact_726_rtrancl_Ortrancl__into__rtrancl,axiom,
    ! [C_2,A,B,R_1] :
      ( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A),B)),transi374442731on_val(R_1)))
     => ( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,B),C_2)),R_1))
       => hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A),C_2)),transi374442731on_val(R_1))) ) ),
    file('theBenchmark.p',fact_726_rtrancl_Ortrancl__into__rtrancl) ).

fof(fact_727_rtrancl_Ortrancl__into__rtrancl,axiom,
    ! [C_2,A,B,R_1] :
      ( hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A),B)),transi1395422419t_char(R_1)))
     => ( hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,B),C_2)),R_1))
       => hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A),C_2)),transi1395422419t_char(R_1))) ) ),
    file('theBenchmark.p',fact_727_rtrancl_Ortrancl__into__rtrancl) ).

fof(fact_728_rtrancl_Ortrancl__into__rtrancl,axiom,
    ! [C_2,A,B,R_1] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A),B)),transi2024712006on_val(R_1)))
     => ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,B),C_2)),R_1))
       => hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A),C_2)),transi2024712006on_val(R_1))) ) ),
    file('theBenchmark.p',fact_728_rtrancl_Ortrancl__into__rtrancl) ).

fof(fact_729_rtrancl_Ortrancl__into__rtrancl,axiom,
    ! [C_2,A,B,R_1] :
      ( hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A),B)),transi935034983cl_val(R_1)))
     => ( hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,B),C_2)),R_1))
       => hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A),C_2)),transi935034983cl_val(R_1))) ) ),
    file('theBenchmark.p',fact_729_rtrancl_Ortrancl__into__rtrancl) ).

fof(fact_730_rtrancl__trans,axiom,
    ! [C_2,A,B,R_1] :
      ( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A),B)),transi374442731on_val(R_1)))
     => ( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,B),C_2)),transi374442731on_val(R_1)))
       => hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A),C_2)),transi374442731on_val(R_1))) ) ),
    file('theBenchmark.p',fact_730_rtrancl__trans) ).

fof(fact_731_rtrancl__trans,axiom,
    ! [C_2,A,B,R_1] :
      ( hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A),B)),transi1395422419t_char(R_1)))
     => ( hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,B),C_2)),transi1395422419t_char(R_1)))
       => hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A),C_2)),transi1395422419t_char(R_1))) ) ),
    file('theBenchmark.p',fact_731_rtrancl__trans) ).

fof(fact_732_rtrancl__trans,axiom,
    ! [C_2,A,B,R_1] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A),B)),transi2024712006on_val(R_1)))
     => ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,B),C_2)),transi2024712006on_val(R_1)))
       => hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A),C_2)),transi2024712006on_val(R_1))) ) ),
    file('theBenchmark.p',fact_732_rtrancl__trans) ).

fof(fact_733_rtrancl__trans,axiom,
    ! [C_2,A,B,R_1] :
      ( hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A),B)),transi935034983cl_val(R_1)))
     => ( hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,B),C_2)),transi935034983cl_val(R_1)))
       => hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A),C_2)),transi935034983cl_val(R_1))) ) ),
    file('theBenchmark.p',fact_733_rtrancl__trans) ).

fof(fact_734_subsetI,axiom,
    ! [B_1,A_2] :
      ( ! [X_1] :
          ( hBOOL(hAPP_f483496539l_bool(hAPP_P7095645l_bool(member1601084734t_char,X_1),A_2))
         => hBOOL(hAPP_f483496539l_bool(hAPP_P7095645l_bool(member1601084734t_char,X_1),B_1)) )
     => hBOOL(hAPP_f483496539l_bool(ord_le1987888477r_bool(A_2),B_1)) ),
    file('theBenchmark.p',fact_734_subsetI) ).

fof(fact_735_subsetI,axiom,
    ! [B_1,A_2] :
      ( ! [X_1] :
          ( hBOOL(hAPP_f515912112l_bool(hAPP_P205570445l_bool(member1467889965t_char,X_1),A_2))
         => hBOOL(hAPP_f515912112l_bool(hAPP_P205570445l_bool(member1467889965t_char,X_1),B_1)) )
     => hBOOL(hAPP_f515912112l_bool(ord_le117566470r_bool(A_2),B_1)) ),
    file('theBenchmark.p',fact_735_subsetI) ).

fof(fact_736_subsetI,axiom,
    ! [B_1,A_2] :
      ( ! [X_1] :
          ( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,X_1),A_2))
         => hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,X_1),B_1)) )
     => hBOOL(hAPP_f458849545l_bool(ord_le1438917387l_bool(A_2),B_1)) ),
    file('theBenchmark.p',fact_736_subsetI) ).

fof(fact_737_subsetI,axiom,
    ! [B_1,A_2] :
      ( ! [X_1] :
          ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),A_2))
         => hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),B_1)) )
     => hBOOL(hAPP_f54304608l_bool(ord_le1568362934t_bool(A_2),B_1)) ),
    file('theBenchmark.p',fact_737_subsetI) ).

fof(fact_738_subsetI,axiom,
    ! [B_1,A_2] :
      ( ! [X_1] :
          ( hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,X_1),A_2))
         => hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,X_1),B_1)) )
     => hBOOL(hAPP_f2106398425l_bool(ord_le640323803r_bool(A_2),B_1)) ),
    file('theBenchmark.p',fact_738_subsetI) ).

fof(fact_739_subsetI,axiom,
    ! [B_1,A_2] :
      ( ! [X_1] :
          ( hBOOL(hAPP_f986089162l_bool(hAPP_l1903254203l_bool(member_list_char,X_1),A_2))
         => hBOOL(hAPP_f986089162l_bool(hAPP_l1903254203l_bool(member_list_char,X_1),B_1)) )
     => hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(A_2),B_1)) ),
    file('theBenchmark.p',fact_739_subsetI) ).

fof(fact_740_subsetI,axiom,
    ! [B_1,A_2] :
      ( ! [X_1] :
          ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,X_1),A_2))
         => hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,X_1),B_1)) )
     => hBOOL(hAPP_f1453283057l_bool(ord_le1776148979l_bool(A_2),B_1)) ),
    file('theBenchmark.p',fact_740_subsetI) ).

fof(fact_741_converse__rtranclE2,axiom,
    ! [Xa_1,Xb_1,Za,Zb,R_1] :
      ( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Xa_1),Xb_1)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Za),Zb))),transi374442731on_val(R_1)))
     => ( hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Xa_1),Xb_1) != hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Za),Zb)
       => ~ ! [A_1,B_2] :
              ( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Xa_1),Xb_1)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,A_1),B_2))),R_1))
             => ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,A_1),B_2)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Za),Zb))),transi374442731on_val(R_1))) ) ) ),
    file('theBenchmark.p',fact_741_converse__rtranclE2) ).

fof(fact_742_converse__rtranclE2,axiom,
    ! [Xa_1,Xb_1,Za,Zb,R_1] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Xa_1),Xb_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Za),Zb))),transi2024712006on_val(R_1)))
     => ( hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Xa_1),Xb_1) != hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Za),Zb)
       => ~ ! [A_1,B_2] :
              ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Xa_1),Xb_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A_1),B_2))),R_1))
             => ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A_1),B_2)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Za),Zb))),transi2024712006on_val(R_1))) ) ) ),
    file('theBenchmark.p',fact_742_converse__rtranclE2) ).

fof(fact_743_converse__rtranclE2,axiom,
    ! [Xa_1,Xb_1,Za,Zb,R_1] :
      ( hBOOL(hAPP_f595031537l_bool(hAPP_P1862681481l_bool(member1999287380t_char,hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,Xa_1),Xb_1)),hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,Za),Zb))),transi198989188t_char(R_1)))
     => ( hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,Xa_1),Xb_1) != hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,Za),Zb)
       => ~ ! [A_1,B_2] :
              ( hBOOL(hAPP_f595031537l_bool(hAPP_P1862681481l_bool(member1999287380t_char,hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,Xa_1),Xb_1)),hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,A_1),B_2))),R_1))
             => ~ hBOOL(hAPP_f595031537l_bool(hAPP_P1862681481l_bool(member1999287380t_char,hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,A_1),B_2)),hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,Za),Zb))),transi198989188t_char(R_1))) ) ) ),
    file('theBenchmark.p',fact_743_converse__rtranclE2) ).

fof(fact_744_converse__rtranclE2,axiom,
    ! [Xa_1,Xb_1,Za,Zb,R_1] :
      ( hBOOL(hAPP_f126445617l_bool(hAPP_P1313790473l_bool(member1551446420t_char,hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,Xa_1),Xb_1)),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,Za),Zb))),transi772168185t_char(R_1)))
     => ( hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,Xa_1),Xb_1) != hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,Za),Zb)
       => ~ ! [A_1,B_2] :
              ( hBOOL(hAPP_f126445617l_bool(hAPP_P1313790473l_bool(member1551446420t_char,hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,Xa_1),Xb_1)),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,A_1),B_2))),R_1))
             => ~ hBOOL(hAPP_f126445617l_bool(hAPP_P1313790473l_bool(member1551446420t_char,hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,A_1),B_2)),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,Za),Zb))),transi772168185t_char(R_1))) ) ) ),
    file('theBenchmark.p',fact_744_converse__rtranclE2) ).

fof(fact_745_converse__rtranclE2,axiom,
    ! [Xa_1,Xb_1,Za,Zb,R_1] :
      ( hBOOL(hAPP_f272179441l_bool(hAPP_P396425609l_bool(member1607118676t_char,hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,Xa_1),Xb_1)),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,Za),Zb))),transi2005320128t_char(R_1)))
     => ( hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,Xa_1),Xb_1) != hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,Za),Zb)
       => ~ ! [A_1,B_2] :
              ( hBOOL(hAPP_f272179441l_bool(hAPP_P396425609l_bool(member1607118676t_char,hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,Xa_1),Xb_1)),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,A_1),B_2))),R_1))
             => ~ hBOOL(hAPP_f272179441l_bool(hAPP_P396425609l_bool(member1607118676t_char,hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,A_1),B_2)),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,Za),Zb))),transi2005320128t_char(R_1))) ) ) ),
    file('theBenchmark.p',fact_745_converse__rtranclE2) ).

fof(fact_746_converse__rtranclE2,axiom,
    ! [Xa_1,Xb_1,Za,Zb,R_1] :
      ( hBOOL(hAPP_f538118321l_bool(hAPP_P1390376713l_bool(member162552852t_char,hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,Xa_1),Xb_1)),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,Za),Zb))),transi1123801095t_char(R_1)))
     => ( hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,Xa_1),Xb_1) != hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,Za),Zb)
       => ~ ! [A_1,B_2] :
              ( hBOOL(hAPP_f538118321l_bool(hAPP_P1390376713l_bool(member162552852t_char,hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,Xa_1),Xb_1)),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,A_1),B_2))),R_1))
             => ~ hBOOL(hAPP_f538118321l_bool(hAPP_P1390376713l_bool(member162552852t_char,hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,A_1),B_2)),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,Za),Zb))),transi1123801095t_char(R_1))) ) ) ),
    file('theBenchmark.p',fact_746_converse__rtranclE2) ).

fof(fact_747_converse__rtranclE2,axiom,
    ! [Xa_1,Xb_1,Za,Zb,R_1] :
      ( hBOOL(hAPP_f1145574243l_bool(hAPP_P2139822957l_bool(member1161907014t_char,hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,Xa_1),Xb_1)),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,Za),Zb))),transi1789604888t_char(R_1)))
     => ( hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,Xa_1),Xb_1) != hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,Za),Zb)
       => ~ ! [A_1,B_2] :
              ( hBOOL(hAPP_f1145574243l_bool(hAPP_P2139822957l_bool(member1161907014t_char,hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,Xa_1),Xb_1)),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,A_1),B_2))),R_1))
             => ~ hBOOL(hAPP_f1145574243l_bool(hAPP_P2139822957l_bool(member1161907014t_char,hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,A_1),B_2)),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,Za),Zb))),transi1789604888t_char(R_1))) ) ) ),
    file('theBenchmark.p',fact_747_converse__rtranclE2) ).

fof(fact_748_converse__rtranclE2,axiom,
    ! [Xa_1,Xb_1,Za,Zb,R_1] :
      ( hBOOL(hAPP_f258424141l_bool(hAPP_P409642305l_bool(member125098544t_char,hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,Xa_1),Xb_1)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,Za),Zb))),transi1257872013t_char(R_1)))
     => ( hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,Xa_1),Xb_1) != hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,Za),Zb)
       => ~ ! [A_1,B_2] :
              ( hBOOL(hAPP_f258424141l_bool(hAPP_P409642305l_bool(member125098544t_char,hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,Xa_1),Xb_1)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,A_1),B_2))),R_1))
             => ~ hBOOL(hAPP_f258424141l_bool(hAPP_P409642305l_bool(member125098544t_char,hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,A_1),B_2)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,Za),Zb))),transi1257872013t_char(R_1))) ) ) ),
    file('theBenchmark.p',fact_748_converse__rtranclE2) ).

fof(fact_749_converse__rtranclE2,axiom,
    ! [Xa_1,Xb_1,Za,Zb,R_1] :
      ( hBOOL(hAPP_f528956081l_bool(hAPP_P325013257l_bool(member1420286996t_char,hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,Xa_1),Xb_1)),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,Za),Zb))),transi122195895t_char(R_1)))
     => ( hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,Xa_1),Xb_1) != hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,Za),Zb)
       => ~ ! [A_1,B_2] :
              ( hBOOL(hAPP_f528956081l_bool(hAPP_P325013257l_bool(member1420286996t_char,hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,Xa_1),Xb_1)),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,A_1),B_2))),R_1))
             => ~ hBOOL(hAPP_f528956081l_bool(hAPP_P325013257l_bool(member1420286996t_char,hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,A_1),B_2)),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,Za),Zb))),transi122195895t_char(R_1))) ) ) ),
    file('theBenchmark.p',fact_749_converse__rtranclE2) ).

fof(fact_750_converse__rtranclE2,axiom,
    ! [Xa_1,Xb_1,Za,Zb,R_1] :
      ( hBOOL(hAPP_f1980787287l_bool(hAPP_P274544981l_bool(member88670778on_val,hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,Xa_1),Xb_1)),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,Za),Zb))),transi208336786on_val(R_1)))
     => ( hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,Xa_1),Xb_1) != hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,Za),Zb)
       => ~ ! [A_1,B_2] :
              ( hBOOL(hAPP_f1980787287l_bool(hAPP_P274544981l_bool(member88670778on_val,hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,Xa_1),Xb_1)),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A_1),B_2))),R_1))
             => ~ hBOOL(hAPP_f1980787287l_bool(hAPP_P274544981l_bool(member88670778on_val,hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A_1),B_2)),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,Za),Zb))),transi208336786on_val(R_1))) ) ) ),
    file('theBenchmark.p',fact_750_converse__rtranclE2) ).

fof(fact_751_converse__rtranclE2,axiom,
    ! [Xa_1,Xb_1,Za,Zb,R_1] :
      ( hBOOL(hAPP_f2129782055l_bool(hAPP_P124661l_bool(member837208074al_val,hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,Xa_1),Xb_1)),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,Za),Zb))),transi1423755450al_val(R_1)))
     => ( hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,Xa_1),Xb_1) != hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,Za),Zb)
       => ~ ! [A_1,B_2] :
              ( hBOOL(hAPP_f2129782055l_bool(hAPP_P124661l_bool(member837208074al_val,hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,Xa_1),Xb_1)),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A_1),B_2))),R_1))
             => ~ hBOOL(hAPP_f2129782055l_bool(hAPP_P124661l_bool(member837208074al_val,hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A_1),B_2)),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,Za),Zb))),transi1423755450al_val(R_1))) ) ) ),
    file('theBenchmark.p',fact_751_converse__rtranclE2) ).

fof(fact_752_converse__rtranclE2,axiom,
    ! [Xa_1,Xb_1,Za,Zb,R_1] :
      ( hBOOL(hAPP_f126136681l_bool(hAPP_P982127993l_bool(member1732271180al_val,hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,Xa_1),Xb_1)),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,Za),Zb))),transi1906258203al_val(R_1)))
     => ( hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,Xa_1),Xb_1) != hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,Za),Zb)
       => ~ ! [A_1,B_2] :
              ( is_bop(A_1)
             => ( hBOOL(hAPP_f126136681l_bool(hAPP_P982127993l_bool(member1732271180al_val,hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,Xa_1),Xb_1)),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,A_1),B_2))),R_1))
               => ~ hBOOL(hAPP_f126136681l_bool(hAPP_P982127993l_bool(member1732271180al_val,hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,A_1),B_2)),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,Za),Zb))),transi1906258203al_val(R_1))) ) ) ) ),
    file('theBenchmark.p',fact_752_converse__rtranclE2) ).

fof(fact_753_converse__rtranclE2,axiom,
    ! [Xa_1,Xb_1,Za,Zb,R_1] :
      ( hBOOL(hAPP_f851858423l_bool(hAPP_P786771093l_bool(member794220506t_char,hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,Xa_1),Xb_1)),hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,Za),Zb))),transi1095029602t_char(R_1)))
     => ( hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,Xa_1),Xb_1) != hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,Za),Zb)
       => ~ ! [A_1,B_2] :
              ( hBOOL(hAPP_f851858423l_bool(hAPP_P786771093l_bool(member794220506t_char,hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,Xa_1),Xb_1)),hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A_1),B_2))),R_1))
             => ~ hBOOL(hAPP_f851858423l_bool(hAPP_P786771093l_bool(member794220506t_char,hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A_1),B_2)),hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,Za),Zb))),transi1095029602t_char(R_1))) ) ) ),
    file('theBenchmark.p',fact_753_converse__rtranclE2) ).

fof(fact_754_converse__rtranclE2,axiom,
    ! [Xa_1,Xb_1,Za,Zb,R_1] :
      ( hBOOL(hAPP_f665343921l_bool(hAPP_P502294281l_bool(member1322055188on_val,hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,Xa_1),Xb_1)),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,Za),Zb))),transi61620055on_val(R_1)))
     => ( hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,Xa_1),Xb_1) != hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,Za),Zb)
       => ~ ! [A_1,B_2] :
              ( hBOOL(hAPP_f665343921l_bool(hAPP_P502294281l_bool(member1322055188on_val,hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,Xa_1),Xb_1)),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,A_1),B_2))),R_1))
             => ~ hBOOL(hAPP_f665343921l_bool(hAPP_P502294281l_bool(member1322055188on_val,hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,A_1),B_2)),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,Za),Zb))),transi61620055on_val(R_1))) ) ) ),
    file('theBenchmark.p',fact_754_converse__rtranclE2) ).

fof(fact_755_converse__rtranclE2,axiom,
    ! [Xa_1,Xb_1,Za,Zb,R_1] :
      ( hBOOL(hAPP_f1297673713l_bool(hAPP_P240409993l_bool(member563141460on_val,hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Xa_1),Xb_1)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Za),Zb))),transi921647814on_val(R_1)))
     => ( hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Xa_1),Xb_1) != hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Za),Zb)
       => ~ ! [A_1,B_2] :
              ( hBOOL(hAPP_f1297673713l_bool(hAPP_P240409993l_bool(member563141460on_val,hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Xa_1),Xb_1)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A_1),B_2))),R_1))
             => ~ hBOOL(hAPP_f1297673713l_bool(hAPP_P240409993l_bool(member563141460on_val,hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A_1),B_2)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Za),Zb))),transi921647814on_val(R_1))) ) ) ),
    file('theBenchmark.p',fact_755_converse__rtranclE2) ).

fof(fact_756_converse__rtranclE2,axiom,
    ! [Xa_1,Xb_1,Za,Zb,R_1] :
      ( hBOOL(hAPP_f1261741735l_bool(hAPP_P1362631157l_bool(member808015754on_val,hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,Xa_1),Xb_1)),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,Za),Zb))),transi910771962on_val(R_1)))
     => ( hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,Xa_1),Xb_1) != hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,Za),Zb)
       => ~ ! [A_1,B_2] :
              ( hBOOL(hAPP_f1261741735l_bool(hAPP_P1362631157l_bool(member808015754on_val,hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,Xa_1),Xb_1)),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_1),B_2))),R_1))
             => ~ hBOOL(hAPP_f1261741735l_bool(hAPP_P1362631157l_bool(member808015754on_val,hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_1),B_2)),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,Za),Zb))),transi910771962on_val(R_1))) ) ) ),
    file('theBenchmark.p',fact_756_converse__rtranclE2) ).

fof(fact_757_converse__rtrancl__induct2,axiom,
    ! [Pa,Ax,Ay,Bx,By,R_1] :
      ( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Ax),Ay)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Bx),By))),transi374442731on_val(R_1)))
     => ( hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(Pa,Bx),By))
       => ( ! [A_1,B_2,Aa,Ba] :
              ( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,A_1),B_2)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Aa),Ba))),R_1))
             => ( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Aa),Ba)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Bx),By))),transi374442731on_val(R_1)))
               => ( hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(Pa,Aa),Ba))
                 => hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(Pa,A_1),B_2)) ) ) )
         => hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(Pa,Ax),Ay)) ) ) ),
    file('theBenchmark.p',fact_757_converse__rtrancl__induct2) ).

fof(fact_758_converse__rtrancl__induct2,axiom,
    ! [Pa,Ax,Ay,Bx,By,R_1] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Ax),Ay)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Bx),By))),transi2024712006on_val(R_1)))
     => ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(Pa,Bx),By))
       => ( ! [A_1,B_2,Aa,Ba] :
              ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A_1),B_2)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Aa),Ba))),R_1))
             => ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Aa),Ba)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Bx),By))),transi2024712006on_val(R_1)))
               => ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(Pa,Aa),Ba))
                 => hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(Pa,A_1),B_2)) ) ) )
         => hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(Pa,Ax),Ay)) ) ) ),
    file('theBenchmark.p',fact_758_converse__rtrancl__induct2) ).

fof(fact_759_converse__rtrancl__induct2,axiom,
    ! [Pa,Ax,Ay,Bx,By,R_1] :
      ( hBOOL(hAPP_f595031537l_bool(hAPP_P1862681481l_bool(member1999287380t_char,hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,Ax),Ay)),hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,Bx),By))),transi198989188t_char(R_1)))
     => ( hBOOL(hAPP_e544220455r_bool(hAPP_l214204733r_bool(Pa,Bx),By))
       => ( ! [A_1,B_2,Aa,Ba] :
              ( hBOOL(hAPP_f595031537l_bool(hAPP_P1862681481l_bool(member1999287380t_char,hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,A_1),B_2)),hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,Aa),Ba))),R_1))
             => ( hBOOL(hAPP_f595031537l_bool(hAPP_P1862681481l_bool(member1999287380t_char,hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,Aa),Ba)),hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,Bx),By))),transi198989188t_char(R_1)))
               => ( hBOOL(hAPP_e544220455r_bool(hAPP_l214204733r_bool(Pa,Aa),Ba))
                 => hBOOL(hAPP_e544220455r_bool(hAPP_l214204733r_bool(Pa,A_1),B_2)) ) ) )
         => hBOOL(hAPP_e544220455r_bool(hAPP_l214204733r_bool(Pa,Ax),Ay)) ) ) ),
    file('theBenchmark.p',fact_759_converse__rtrancl__induct2) ).

fof(fact_760_converse__rtrancl__induct2,axiom,
    ! [Pa,Ax,Ay,Bx,By,R_1] :
      ( hBOOL(hAPP_f126445617l_bool(hAPP_P1313790473l_bool(member1551446420t_char,hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,Ax),Ay)),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,Bx),By))),transi772168185t_char(R_1)))
     => ( hBOOL(hAPP_l902158906r_bool(hAPP_l24694616r_bool(Pa,Bx),By))
       => ( ! [A_1,B_2,Aa,Ba] :
              ( hBOOL(hAPP_f126445617l_bool(hAPP_P1313790473l_bool(member1551446420t_char,hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,A_1),B_2)),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,Aa),Ba))),R_1))
             => ( hBOOL(hAPP_f126445617l_bool(hAPP_P1313790473l_bool(member1551446420t_char,hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,Aa),Ba)),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,Bx),By))),transi772168185t_char(R_1)))
               => ( hBOOL(hAPP_l902158906r_bool(hAPP_l24694616r_bool(Pa,Aa),Ba))
                 => hBOOL(hAPP_l902158906r_bool(hAPP_l24694616r_bool(Pa,A_1),B_2)) ) ) )
         => hBOOL(hAPP_l902158906r_bool(hAPP_l24694616r_bool(Pa,Ax),Ay)) ) ) ),
    file('theBenchmark.p',fact_760_converse__rtrancl__induct2) ).

fof(fact_761_converse__rtrancl__induct2,axiom,
    ! [Pa,Ax,Ay,Bx,By,R_1] :
      ( hBOOL(hAPP_f272179441l_bool(hAPP_P396425609l_bool(member1607118676t_char,hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,Ax),Ay)),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,Bx),By))),transi2005320128t_char(R_1)))
     => ( hBOOL(hAPP_P828904212r_bool(hAPP_l1342015621r_bool(Pa,Bx),By))
       => ( ! [A_1,B_2,Aa,Ba] :
              ( hBOOL(hAPP_f272179441l_bool(hAPP_P396425609l_bool(member1607118676t_char,hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,A_1),B_2)),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,Aa),Ba))),R_1))
             => ( hBOOL(hAPP_f272179441l_bool(hAPP_P396425609l_bool(member1607118676t_char,hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,Aa),Ba)),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,Bx),By))),transi2005320128t_char(R_1)))
               => ( hBOOL(hAPP_P828904212r_bool(hAPP_l1342015621r_bool(Pa,Aa),Ba))
                 => hBOOL(hAPP_P828904212r_bool(hAPP_l1342015621r_bool(Pa,A_1),B_2)) ) ) )
         => hBOOL(hAPP_P828904212r_bool(hAPP_l1342015621r_bool(Pa,Ax),Ay)) ) ) ),
    file('theBenchmark.p',fact_761_converse__rtrancl__induct2) ).

fof(fact_762_converse__rtrancl__induct2,axiom,
    ! [Pa,Ax,Ay,Bx,By,R_1] :
      ( hBOOL(hAPP_f538118321l_bool(hAPP_P1390376713l_bool(member162552852t_char,hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,Ax),Ay)),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,Bx),By))),transi1123801095t_char(R_1)))
     => ( hBOOL(hAPP_P659547099r_bool(hAPP_l2140727500r_bool(Pa,Bx),By))
       => ( ! [A_1,B_2,Aa,Ba] :
              ( hBOOL(hAPP_f538118321l_bool(hAPP_P1390376713l_bool(member162552852t_char,hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,A_1),B_2)),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,Aa),Ba))),R_1))
             => ( hBOOL(hAPP_f538118321l_bool(hAPP_P1390376713l_bool(member162552852t_char,hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,Aa),Ba)),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,Bx),By))),transi1123801095t_char(R_1)))
               => ( hBOOL(hAPP_P659547099r_bool(hAPP_l2140727500r_bool(Pa,Aa),Ba))
                 => hBOOL(hAPP_P659547099r_bool(hAPP_l2140727500r_bool(Pa,A_1),B_2)) ) ) )
         => hBOOL(hAPP_P659547099r_bool(hAPP_l2140727500r_bool(Pa,Ax),Ay)) ) ) ),
    file('theBenchmark.p',fact_762_converse__rtrancl__induct2) ).

fof(fact_763_converse__rtrancl__induct2,axiom,
    ! [Pa,Ax,Ay,Bx,By,R_1] :
      ( hBOOL(hAPP_f1145574243l_bool(hAPP_P2139822957l_bool(member1161907014t_char,hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,Ax),Ay)),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,Bx),By))),transi1789604888t_char(R_1)))
     => ( hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(Pa,Bx),By))
       => ( ! [A_1,B_2,Aa,Ba] :
              ( hBOOL(hAPP_f1145574243l_bool(hAPP_P2139822957l_bool(member1161907014t_char,hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,A_1),B_2)),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,Aa),Ba))),R_1))
             => ( hBOOL(hAPP_f1145574243l_bool(hAPP_P2139822957l_bool(member1161907014t_char,hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,Aa),Ba)),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,Bx),By))),transi1789604888t_char(R_1)))
               => ( hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(Pa,Aa),Ba))
                 => hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(Pa,A_1),B_2)) ) ) )
         => hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(Pa,Ax),Ay)) ) ) ),
    file('theBenchmark.p',fact_763_converse__rtrancl__induct2) ).

fof(fact_764_converse__rtrancl__induct2,axiom,
    ! [Pa,Ax,Ay,Bx,By,R_1] :
      ( hBOOL(hAPP_f258424141l_bool(hAPP_P409642305l_bool(member125098544t_char,hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,Ax),Ay)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,Bx),By))),transi1257872013t_char(R_1)))
     => ( hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(Pa,Bx),By))
       => ( ! [A_1,B_2,Aa,Ba] :
              ( hBOOL(hAPP_f258424141l_bool(hAPP_P409642305l_bool(member125098544t_char,hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,A_1),B_2)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,Aa),Ba))),R_1))
             => ( hBOOL(hAPP_f258424141l_bool(hAPP_P409642305l_bool(member125098544t_char,hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,Aa),Ba)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,Bx),By))),transi1257872013t_char(R_1)))
               => ( hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(Pa,Aa),Ba))
                 => hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(Pa,A_1),B_2)) ) ) )
         => hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(Pa,Ax),Ay)) ) ) ),
    file('theBenchmark.p',fact_764_converse__rtrancl__induct2) ).

fof(fact_765_converse__rtrancl__induct2,axiom,
    ! [Pa,Ax,Ay,Bx,By,R_1] :
      ( hBOOL(hAPP_f528956081l_bool(hAPP_P325013257l_bool(member1420286996t_char,hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,Ax),Ay)),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,Bx),By))),transi122195895t_char(R_1)))
     => ( hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(Pa,Bx),By))
       => ( ! [A_1,B_2,Aa,Ba] :
              ( hBOOL(hAPP_f528956081l_bool(hAPP_P325013257l_bool(member1420286996t_char,hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,A_1),B_2)),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,Aa),Ba))),R_1))
             => ( hBOOL(hAPP_f528956081l_bool(hAPP_P325013257l_bool(member1420286996t_char,hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,Aa),Ba)),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,Bx),By))),transi122195895t_char(R_1)))
               => ( hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(Pa,Aa),Ba))
                 => hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(Pa,A_1),B_2)) ) ) )
         => hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(Pa,Ax),Ay)) ) ) ),
    file('theBenchmark.p',fact_765_converse__rtrancl__induct2) ).

fof(fact_766_converse__rtrancl__induct2,axiom,
    ! [Pa,Ax,Ay,Bx,By,R_1] :
      ( hBOOL(hAPP_f1980787287l_bool(hAPP_P274544981l_bool(member88670778on_val,hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,Ax),Ay)),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,Bx),By))),transi208336786on_val(R_1)))
     => ( hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(Pa,Bx),By))
       => ( ! [A_1,B_2,Aa,Ba] :
              ( hBOOL(hAPP_f1980787287l_bool(hAPP_P274544981l_bool(member88670778on_val,hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A_1),B_2)),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,Aa),Ba))),R_1))
             => ( hBOOL(hAPP_f1980787287l_bool(hAPP_P274544981l_bool(member88670778on_val,hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,Aa),Ba)),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,Bx),By))),transi208336786on_val(R_1)))
               => ( hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(Pa,Aa),Ba))
                 => hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(Pa,A_1),B_2)) ) ) )
         => hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(Pa,Ax),Ay)) ) ) ),
    file('theBenchmark.p',fact_766_converse__rtrancl__induct2) ).

fof(fact_767_converse__rtrancl__induct2,axiom,
    ! [Pa,Ax,Ay,Bx,By,R_1] :
      ( hBOOL(hAPP_f2129782055l_bool(hAPP_P124661l_bool(member837208074al_val,hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,Ax),Ay)),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,Bx),By))),transi1423755450al_val(R_1)))
     => ( hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(Pa,Bx),By))
       => ( ! [A_1,B_2,Aa,Ba] :
              ( hBOOL(hAPP_f2129782055l_bool(hAPP_P124661l_bool(member837208074al_val,hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A_1),B_2)),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,Aa),Ba))),R_1))
             => ( hBOOL(hAPP_f2129782055l_bool(hAPP_P124661l_bool(member837208074al_val,hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,Aa),Ba)),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,Bx),By))),transi1423755450al_val(R_1)))
               => ( hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(Pa,Aa),Ba))
                 => hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(Pa,A_1),B_2)) ) ) )
         => hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(Pa,Ax),Ay)) ) ) ),
    file('theBenchmark.p',fact_767_converse__rtrancl__induct2) ).

fof(fact_768_converse__rtrancl__induct2,axiom,
    ! [Pa,Ax,Ay,Bx,By,R_1] :
      ( hBOOL(hAPP_f126136681l_bool(hAPP_P982127993l_bool(member1732271180al_val,hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,Ax),Ay)),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,Bx),By))),transi1906258203al_val(R_1)))
     => ( hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(Pa,Bx),By))
       => ( ! [A_1,B_2,Aa,Ba] :
              ( ( is_bop(Aa)
                & is_bop(A_1) )
             => ( hBOOL(hAPP_f126136681l_bool(hAPP_P982127993l_bool(member1732271180al_val,hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,A_1),B_2)),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,Aa),Ba))),R_1))
               => ( hBOOL(hAPP_f126136681l_bool(hAPP_P982127993l_bool(member1732271180al_val,hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,Aa),Ba)),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,Bx),By))),transi1906258203al_val(R_1)))
                 => ( hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(Pa,Aa),Ba))
                   => hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(Pa,A_1),B_2)) ) ) ) )
         => hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(Pa,Ax),Ay)) ) ) ),
    file('theBenchmark.p',fact_768_converse__rtrancl__induct2) ).

fof(fact_769_converse__rtrancl__induct2,axiom,
    ! [Pa,Ax,Ay,Bx,By,R_1] :
      ( hBOOL(hAPP_f851858423l_bool(hAPP_P786771093l_bool(member794220506t_char,hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,Ax),Ay)),hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,Bx),By))),transi1095029602t_char(R_1)))
     => ( hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(Pa,Bx),By))
       => ( ! [A_1,B_2,Aa,Ba] :
              ( hBOOL(hAPP_f851858423l_bool(hAPP_P786771093l_bool(member794220506t_char,hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A_1),B_2)),hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,Aa),Ba))),R_1))
             => ( hBOOL(hAPP_f851858423l_bool(hAPP_P786771093l_bool(member794220506t_char,hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,Aa),Ba)),hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,Bx),By))),transi1095029602t_char(R_1)))
               => ( hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(Pa,Aa),Ba))
                 => hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(Pa,A_1),B_2)) ) ) )
         => hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(Pa,Ax),Ay)) ) ) ),
    file('theBenchmark.p',fact_769_converse__rtrancl__induct2) ).

fof(fact_770_converse__rtrancl__induct2,axiom,
    ! [Pa,Ax,Ay,Bx,By,R_1] :
      ( hBOOL(hAPP_f665343921l_bool(hAPP_P502294281l_bool(member1322055188on_val,hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,Ax),Ay)),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,Bx),By))),transi61620055on_val(R_1)))
     => ( hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(Pa,Bx),By))
       => ( ! [A_1,B_2,Aa,Ba] :
              ( hBOOL(hAPP_f665343921l_bool(hAPP_P502294281l_bool(member1322055188on_val,hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,A_1),B_2)),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,Aa),Ba))),R_1))
             => ( hBOOL(hAPP_f665343921l_bool(hAPP_P502294281l_bool(member1322055188on_val,hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,Aa),Ba)),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,Bx),By))),transi61620055on_val(R_1)))
               => ( hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(Pa,Aa),Ba))
                 => hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(Pa,A_1),B_2)) ) ) )
         => hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(Pa,Ax),Ay)) ) ) ),
    file('theBenchmark.p',fact_770_converse__rtrancl__induct2) ).

fof(fact_771_converse__rtrancl__induct2,axiom,
    ! [Pa,Ax,Ay,Bx,By,R_1] :
      ( hBOOL(hAPP_f1297673713l_bool(hAPP_P240409993l_bool(member563141460on_val,hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Ax),Ay)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Bx),By))),transi921647814on_val(R_1)))
     => ( hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(Pa,Bx),By))
       => ( ! [A_1,B_2,Aa,Ba] :
              ( hBOOL(hAPP_f1297673713l_bool(hAPP_P240409993l_bool(member563141460on_val,hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A_1),B_2)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Aa),Ba))),R_1))
             => ( hBOOL(hAPP_f1297673713l_bool(hAPP_P240409993l_bool(member563141460on_val,hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Aa),Ba)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Bx),By))),transi921647814on_val(R_1)))
               => ( hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(Pa,Aa),Ba))
                 => hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(Pa,A_1),B_2)) ) ) )
         => hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(Pa,Ax),Ay)) ) ) ),
    file('theBenchmark.p',fact_771_converse__rtrancl__induct2) ).

fof(fact_772_converse__rtrancl__induct2,axiom,
    ! [Pa,Ax,Ay,Bx,By,R_1] :
      ( hBOOL(hAPP_f1261741735l_bool(hAPP_P1362631157l_bool(member808015754on_val,hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,Ax),Ay)),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,Bx),By))),transi910771962on_val(R_1)))
     => ( hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(Pa,Bx),By))
       => ( ! [A_1,B_2,Aa,Ba] :
              ( hBOOL(hAPP_f1261741735l_bool(hAPP_P1362631157l_bool(member808015754on_val,hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_1),B_2)),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,Aa),Ba))),R_1))
             => ( hBOOL(hAPP_f1261741735l_bool(hAPP_P1362631157l_bool(member808015754on_val,hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,Aa),Ba)),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,Bx),By))),transi910771962on_val(R_1)))
               => ( hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(Pa,Aa),Ba))
                 => hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(Pa,A_1),B_2)) ) ) )
         => hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(Pa,Ax),Ay)) ) ) ),
    file('theBenchmark.p',fact_772_converse__rtrancl__induct2) ).

fof(fact_773_rtrancl__induct2,axiom,
    ! [Pa,Ax,Ay,Bx,By,R_1] :
      ( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Ax),Ay)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Bx),By))),transi374442731on_val(R_1)))
     => ( hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(Pa,Ax),Ay))
       => ( ! [A_1,B_2,Aa,Ba] :
              ( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Ax),Ay)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,A_1),B_2))),transi374442731on_val(R_1)))
             => ( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,A_1),B_2)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Aa),Ba))),R_1))
               => ( hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(Pa,A_1),B_2))
                 => hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(Pa,Aa),Ba)) ) ) )
         => hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(Pa,Bx),By)) ) ) ),
    file('theBenchmark.p',fact_773_rtrancl__induct2) ).

fof(fact_774_rtrancl__induct2,axiom,
    ! [Pa,Ax,Ay,Bx,By,R_1] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Ax),Ay)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Bx),By))),transi2024712006on_val(R_1)))
     => ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(Pa,Ax),Ay))
       => ( ! [A_1,B_2,Aa,Ba] :
              ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Ax),Ay)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A_1),B_2))),transi2024712006on_val(R_1)))
             => ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A_1),B_2)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Aa),Ba))),R_1))
               => ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(Pa,A_1),B_2))
                 => hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(Pa,Aa),Ba)) ) ) )
         => hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(Pa,Bx),By)) ) ) ),
    file('theBenchmark.p',fact_774_rtrancl__induct2) ).

fof(fact_775_rtrancl__induct2,axiom,
    ! [Pa,Ax,Ay,Bx,By,R_1] :
      ( hBOOL(hAPP_f595031537l_bool(hAPP_P1862681481l_bool(member1999287380t_char,hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,Ax),Ay)),hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,Bx),By))),transi198989188t_char(R_1)))
     => ( hBOOL(hAPP_e544220455r_bool(hAPP_l214204733r_bool(Pa,Ax),Ay))
       => ( ! [A_1,B_2,Aa,Ba] :
              ( hBOOL(hAPP_f595031537l_bool(hAPP_P1862681481l_bool(member1999287380t_char,hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,Ax),Ay)),hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,A_1),B_2))),transi198989188t_char(R_1)))
             => ( hBOOL(hAPP_f595031537l_bool(hAPP_P1862681481l_bool(member1999287380t_char,hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,A_1),B_2)),hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,Aa),Ba))),R_1))
               => ( hBOOL(hAPP_e544220455r_bool(hAPP_l214204733r_bool(Pa,A_1),B_2))
                 => hBOOL(hAPP_e544220455r_bool(hAPP_l214204733r_bool(Pa,Aa),Ba)) ) ) )
         => hBOOL(hAPP_e544220455r_bool(hAPP_l214204733r_bool(Pa,Bx),By)) ) ) ),
    file('theBenchmark.p',fact_775_rtrancl__induct2) ).

fof(fact_776_rtrancl__induct2,axiom,
    ! [Pa,Ax,Ay,Bx,By,R_1] :
      ( hBOOL(hAPP_f126445617l_bool(hAPP_P1313790473l_bool(member1551446420t_char,hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,Ax),Ay)),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,Bx),By))),transi772168185t_char(R_1)))
     => ( hBOOL(hAPP_l902158906r_bool(hAPP_l24694616r_bool(Pa,Ax),Ay))
       => ( ! [A_1,B_2,Aa,Ba] :
              ( hBOOL(hAPP_f126445617l_bool(hAPP_P1313790473l_bool(member1551446420t_char,hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,Ax),Ay)),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,A_1),B_2))),transi772168185t_char(R_1)))
             => ( hBOOL(hAPP_f126445617l_bool(hAPP_P1313790473l_bool(member1551446420t_char,hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,A_1),B_2)),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,Aa),Ba))),R_1))
               => ( hBOOL(hAPP_l902158906r_bool(hAPP_l24694616r_bool(Pa,A_1),B_2))
                 => hBOOL(hAPP_l902158906r_bool(hAPP_l24694616r_bool(Pa,Aa),Ba)) ) ) )
         => hBOOL(hAPP_l902158906r_bool(hAPP_l24694616r_bool(Pa,Bx),By)) ) ) ),
    file('theBenchmark.p',fact_776_rtrancl__induct2) ).

fof(fact_777_rtrancl__induct2,axiom,
    ! [Pa,Ax,Ay,Bx,By,R_1] :
      ( hBOOL(hAPP_f272179441l_bool(hAPP_P396425609l_bool(member1607118676t_char,hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,Ax),Ay)),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,Bx),By))),transi2005320128t_char(R_1)))
     => ( hBOOL(hAPP_P828904212r_bool(hAPP_l1342015621r_bool(Pa,Ax),Ay))
       => ( ! [A_1,B_2,Aa,Ba] :
              ( hBOOL(hAPP_f272179441l_bool(hAPP_P396425609l_bool(member1607118676t_char,hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,Ax),Ay)),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,A_1),B_2))),transi2005320128t_char(R_1)))
             => ( hBOOL(hAPP_f272179441l_bool(hAPP_P396425609l_bool(member1607118676t_char,hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,A_1),B_2)),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,Aa),Ba))),R_1))
               => ( hBOOL(hAPP_P828904212r_bool(hAPP_l1342015621r_bool(Pa,A_1),B_2))
                 => hBOOL(hAPP_P828904212r_bool(hAPP_l1342015621r_bool(Pa,Aa),Ba)) ) ) )
         => hBOOL(hAPP_P828904212r_bool(hAPP_l1342015621r_bool(Pa,Bx),By)) ) ) ),
    file('theBenchmark.p',fact_777_rtrancl__induct2) ).

fof(fact_778_rtrancl__induct2,axiom,
    ! [Pa,Ax,Ay,Bx,By,R_1] :
      ( hBOOL(hAPP_f538118321l_bool(hAPP_P1390376713l_bool(member162552852t_char,hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,Ax),Ay)),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,Bx),By))),transi1123801095t_char(R_1)))
     => ( hBOOL(hAPP_P659547099r_bool(hAPP_l2140727500r_bool(Pa,Ax),Ay))
       => ( ! [A_1,B_2,Aa,Ba] :
              ( hBOOL(hAPP_f538118321l_bool(hAPP_P1390376713l_bool(member162552852t_char,hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,Ax),Ay)),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,A_1),B_2))),transi1123801095t_char(R_1)))
             => ( hBOOL(hAPP_f538118321l_bool(hAPP_P1390376713l_bool(member162552852t_char,hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,A_1),B_2)),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,Aa),Ba))),R_1))
               => ( hBOOL(hAPP_P659547099r_bool(hAPP_l2140727500r_bool(Pa,A_1),B_2))
                 => hBOOL(hAPP_P659547099r_bool(hAPP_l2140727500r_bool(Pa,Aa),Ba)) ) ) )
         => hBOOL(hAPP_P659547099r_bool(hAPP_l2140727500r_bool(Pa,Bx),By)) ) ) ),
    file('theBenchmark.p',fact_778_rtrancl__induct2) ).

fof(fact_779_rtrancl__induct2,axiom,
    ! [Pa,Ax,Ay,Bx,By,R_1] :
      ( hBOOL(hAPP_f1145574243l_bool(hAPP_P2139822957l_bool(member1161907014t_char,hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,Ax),Ay)),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,Bx),By))),transi1789604888t_char(R_1)))
     => ( hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(Pa,Ax),Ay))
       => ( ! [A_1,B_2,Aa,Ba] :
              ( hBOOL(hAPP_f1145574243l_bool(hAPP_P2139822957l_bool(member1161907014t_char,hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,Ax),Ay)),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,A_1),B_2))),transi1789604888t_char(R_1)))
             => ( hBOOL(hAPP_f1145574243l_bool(hAPP_P2139822957l_bool(member1161907014t_char,hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,A_1),B_2)),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,Aa),Ba))),R_1))
               => ( hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(Pa,A_1),B_2))
                 => hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(Pa,Aa),Ba)) ) ) )
         => hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(Pa,Bx),By)) ) ) ),
    file('theBenchmark.p',fact_779_rtrancl__induct2) ).

fof(fact_780_rtrancl__induct2,axiom,
    ! [Pa,Ax,Ay,Bx,By,R_1] :
      ( hBOOL(hAPP_f258424141l_bool(hAPP_P409642305l_bool(member125098544t_char,hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,Ax),Ay)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,Bx),By))),transi1257872013t_char(R_1)))
     => ( hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(Pa,Ax),Ay))
       => ( ! [A_1,B_2,Aa,Ba] :
              ( hBOOL(hAPP_f258424141l_bool(hAPP_P409642305l_bool(member125098544t_char,hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,Ax),Ay)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,A_1),B_2))),transi1257872013t_char(R_1)))
             => ( hBOOL(hAPP_f258424141l_bool(hAPP_P409642305l_bool(member125098544t_char,hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,A_1),B_2)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,Aa),Ba))),R_1))
               => ( hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(Pa,A_1),B_2))
                 => hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(Pa,Aa),Ba)) ) ) )
         => hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(Pa,Bx),By)) ) ) ),
    file('theBenchmark.p',fact_780_rtrancl__induct2) ).

fof(fact_781_rtrancl__induct2,axiom,
    ! [Pa,Ax,Ay,Bx,By,R_1] :
      ( hBOOL(hAPP_f528956081l_bool(hAPP_P325013257l_bool(member1420286996t_char,hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,Ax),Ay)),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,Bx),By))),transi122195895t_char(R_1)))
     => ( hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(Pa,Ax),Ay))
       => ( ! [A_1,B_2,Aa,Ba] :
              ( hBOOL(hAPP_f528956081l_bool(hAPP_P325013257l_bool(member1420286996t_char,hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,Ax),Ay)),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,A_1),B_2))),transi122195895t_char(R_1)))
             => ( hBOOL(hAPP_f528956081l_bool(hAPP_P325013257l_bool(member1420286996t_char,hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,A_1),B_2)),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,Aa),Ba))),R_1))
               => ( hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(Pa,A_1),B_2))
                 => hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(Pa,Aa),Ba)) ) ) )
         => hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(Pa,Bx),By)) ) ) ),
    file('theBenchmark.p',fact_781_rtrancl__induct2) ).

fof(fact_782_rtrancl__induct2,axiom,
    ! [Pa,Ax,Ay,Bx,By,R_1] :
      ( hBOOL(hAPP_f1980787287l_bool(hAPP_P274544981l_bool(member88670778on_val,hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,Ax),Ay)),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,Bx),By))),transi208336786on_val(R_1)))
     => ( hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(Pa,Ax),Ay))
       => ( ! [A_1,B_2,Aa,Ba] :
              ( hBOOL(hAPP_f1980787287l_bool(hAPP_P274544981l_bool(member88670778on_val,hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,Ax),Ay)),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A_1),B_2))),transi208336786on_val(R_1)))
             => ( hBOOL(hAPP_f1980787287l_bool(hAPP_P274544981l_bool(member88670778on_val,hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A_1),B_2)),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,Aa),Ba))),R_1))
               => ( hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(Pa,A_1),B_2))
                 => hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(Pa,Aa),Ba)) ) ) )
         => hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(Pa,Bx),By)) ) ) ),
    file('theBenchmark.p',fact_782_rtrancl__induct2) ).

fof(fact_783_rtrancl__induct2,axiom,
    ! [Pa,Ax,Ay,Bx,By,R_1] :
      ( hBOOL(hAPP_f2129782055l_bool(hAPP_P124661l_bool(member837208074al_val,hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,Ax),Ay)),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,Bx),By))),transi1423755450al_val(R_1)))
     => ( hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(Pa,Ax),Ay))
       => ( ! [A_1,B_2,Aa,Ba] :
              ( hBOOL(hAPP_f2129782055l_bool(hAPP_P124661l_bool(member837208074al_val,hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,Ax),Ay)),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A_1),B_2))),transi1423755450al_val(R_1)))
             => ( hBOOL(hAPP_f2129782055l_bool(hAPP_P124661l_bool(member837208074al_val,hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A_1),B_2)),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,Aa),Ba))),R_1))
               => ( hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(Pa,A_1),B_2))
                 => hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(Pa,Aa),Ba)) ) ) )
         => hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(Pa,Bx),By)) ) ) ),
    file('theBenchmark.p',fact_783_rtrancl__induct2) ).

fof(fact_784_rtrancl__induct2,axiom,
    ! [Pa,Ax,Ay,Bx,By,R_1] :
      ( hBOOL(hAPP_f126136681l_bool(hAPP_P982127993l_bool(member1732271180al_val,hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,Ax),Ay)),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,Bx),By))),transi1906258203al_val(R_1)))
     => ( hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(Pa,Ax),Ay))
       => ( ! [A_1,B_2,Aa,Ba] :
              ( ( is_bop(Aa)
                & is_bop(A_1) )
             => ( hBOOL(hAPP_f126136681l_bool(hAPP_P982127993l_bool(member1732271180al_val,hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,Ax),Ay)),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,A_1),B_2))),transi1906258203al_val(R_1)))
               => ( hBOOL(hAPP_f126136681l_bool(hAPP_P982127993l_bool(member1732271180al_val,hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,A_1),B_2)),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,Aa),Ba))),R_1))
                 => ( hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(Pa,A_1),B_2))
                   => hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(Pa,Aa),Ba)) ) ) ) )
         => hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(Pa,Bx),By)) ) ) ),
    file('theBenchmark.p',fact_784_rtrancl__induct2) ).

fof(fact_785_rtrancl__induct2,axiom,
    ! [Pa,Ax,Ay,Bx,By,R_1] :
      ( hBOOL(hAPP_f851858423l_bool(hAPP_P786771093l_bool(member794220506t_char,hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,Ax),Ay)),hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,Bx),By))),transi1095029602t_char(R_1)))
     => ( hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(Pa,Ax),Ay))
       => ( ! [A_1,B_2,Aa,Ba] :
              ( hBOOL(hAPP_f851858423l_bool(hAPP_P786771093l_bool(member794220506t_char,hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,Ax),Ay)),hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A_1),B_2))),transi1095029602t_char(R_1)))
             => ( hBOOL(hAPP_f851858423l_bool(hAPP_P786771093l_bool(member794220506t_char,hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A_1),B_2)),hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,Aa),Ba))),R_1))
               => ( hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(Pa,A_1),B_2))
                 => hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(Pa,Aa),Ba)) ) ) )
         => hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(Pa,Bx),By)) ) ) ),
    file('theBenchmark.p',fact_785_rtrancl__induct2) ).

fof(fact_786_rtrancl__induct2,axiom,
    ! [Pa,Ax,Ay,Bx,By,R_1] :
      ( hBOOL(hAPP_f665343921l_bool(hAPP_P502294281l_bool(member1322055188on_val,hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,Ax),Ay)),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,Bx),By))),transi61620055on_val(R_1)))
     => ( hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(Pa,Ax),Ay))
       => ( ! [A_1,B_2,Aa,Ba] :
              ( hBOOL(hAPP_f665343921l_bool(hAPP_P502294281l_bool(member1322055188on_val,hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,Ax),Ay)),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,A_1),B_2))),transi61620055on_val(R_1)))
             => ( hBOOL(hAPP_f665343921l_bool(hAPP_P502294281l_bool(member1322055188on_val,hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,A_1),B_2)),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,Aa),Ba))),R_1))
               => ( hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(Pa,A_1),B_2))
                 => hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(Pa,Aa),Ba)) ) ) )
         => hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(Pa,Bx),By)) ) ) ),
    file('theBenchmark.p',fact_786_rtrancl__induct2) ).

fof(fact_787_rtrancl__induct2,axiom,
    ! [Pa,Ax,Ay,Bx,By,R_1] :
      ( hBOOL(hAPP_f1297673713l_bool(hAPP_P240409993l_bool(member563141460on_val,hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Ax),Ay)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Bx),By))),transi921647814on_val(R_1)))
     => ( hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(Pa,Ax),Ay))
       => ( ! [A_1,B_2,Aa,Ba] :
              ( hBOOL(hAPP_f1297673713l_bool(hAPP_P240409993l_bool(member563141460on_val,hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Ax),Ay)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A_1),B_2))),transi921647814on_val(R_1)))
             => ( hBOOL(hAPP_f1297673713l_bool(hAPP_P240409993l_bool(member563141460on_val,hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A_1),B_2)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Aa),Ba))),R_1))
               => ( hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(Pa,A_1),B_2))
                 => hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(Pa,Aa),Ba)) ) ) )
         => hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(Pa,Bx),By)) ) ) ),
    file('theBenchmark.p',fact_787_rtrancl__induct2) ).

fof(fact_788_rtrancl__induct2,axiom,
    ! [Pa,Ax,Ay,Bx,By,R_1] :
      ( hBOOL(hAPP_f1261741735l_bool(hAPP_P1362631157l_bool(member808015754on_val,hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,Ax),Ay)),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,Bx),By))),transi910771962on_val(R_1)))
     => ( hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(Pa,Ax),Ay))
       => ( ! [A_1,B_2,Aa,Ba] :
              ( hBOOL(hAPP_f1261741735l_bool(hAPP_P1362631157l_bool(member808015754on_val,hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,Ax),Ay)),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_1),B_2))),transi910771962on_val(R_1)))
             => ( hBOOL(hAPP_f1261741735l_bool(hAPP_P1362631157l_bool(member808015754on_val,hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_1),B_2)),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,Aa),Ba))),R_1))
               => ( hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(Pa,A_1),B_2))
                 => hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(Pa,Aa),Ba)) ) ) )
         => hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(Pa,Bx),By)) ) ) ),
    file('theBenchmark.p',fact_788_rtrancl__induct2) ).

fof(fact_789_progress,axiom,
    ! [Lb,Ea,Eb,Ta,Hb,Pa] :
      ( hBOOL(wf_pro755087577t_char(wwf_J_mdecl,Pa))
     => ( hBOOL(hAPP_f61040418l_bool(hconf_97414254t_char(Pa),Hb))
       => ( hBOOL(wTrt_1(Pa,Hb,Ea,Eb,Ta))
         => ( hBOOL(d_list_char(Eb,hAPP_f363827556r_bool(some_f80346385r_bool,dom_list_char_val(Lb))))
           => ( ~ hBOOL(final_list_char(Eb))
             => ? [E_1,S_5] : hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_1),S_5))),red(Pa))) ) ) ) ) ),
    file('theBenchmark.p',fact_789_progress) ).

fof(fact_790_option_Oexhaust,axiom,
    ! [Y_3] :
      ( Y_3 != none_nat
     => ~ ! [A_1] : Y_3 != hAPP_nat_option_nat(some_nat,A_1) ),
    file('theBenchmark.p',fact_790_option_Oexhaust) ).

fof(fact_791_option_Oexhaust,axiom,
    ! [Y_3] :
      ( Y_3 != none_ty
     => ~ ! [A_1] : Y_3 != hAPP_ty_option_ty(some_ty,A_1) ),
    file('theBenchmark.p',fact_791_option_Oexhaust) ).

fof(fact_792_option_Oexhaust,axiom,
    ! [Y_2] :
      ( Y_2 != none_P179726773on_val
     => ~ ! [A_1] : Y_2 != hAPP_P1510515380on_val(some_P948696889on_val,A_1) ),
    file('theBenchmark.p',fact_792_option_Oexhaust) ).

fof(fact_793_option_Oexhaust,axiom,
    ! [Y_3] :
      ( Y_3 != none_val
     => ~ ! [A_1] : Y_3 != hAPP_val_option_val(some_val,A_1) ),
    file('theBenchmark.p',fact_793_option_Oexhaust) ).

fof(fact_794_option_Oexhaust,axiom,
    ! [Y_2] :
      ( Y_2 != none_f478147469r_bool
     => ~ ! [A_1] : Y_2 != hAPP_f363827556r_bool(some_f80346385r_bool,A_1) ),
    file('theBenchmark.p',fact_794_option_Oexhaust) ).

fof(fact_795_order__refl,axiom,
    ! [X_2] : hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(X_2),X_2)),
    file('theBenchmark.p',fact_795_order__refl) ).

fof(fact_796_rtrancl__induct,axiom,
    ! [Pa,A,B,R_1] :
      ( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A),B)),transi374442731on_val(R_1)))
     => ( hBOOL(hAPP_P71593144l_bool(Pa,A))
       => ( ! [Y_1,Z] :
              ( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A),Y_1)),transi374442731on_val(R_1)))
             => ( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,Y_1),Z)),R_1))
               => ( hBOOL(hAPP_P71593144l_bool(Pa,Y_1))
                 => hBOOL(hAPP_P71593144l_bool(Pa,Z)) ) ) )
         => hBOOL(hAPP_P71593144l_bool(Pa,B)) ) ) ),
    file('theBenchmark.p',fact_796_rtrancl__induct) ).

fof(fact_797_rtrancl__induct,axiom,
    ! [Pa,A,B,R_1] :
      ( hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A),B)),transi1395422419t_char(R_1)))
     => ( hBOOL(hAPP_list_char_bool(Pa,A))
       => ( ! [Y_1,Z] :
              ( hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A),Y_1)),transi1395422419t_char(R_1)))
             => ( hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,Y_1),Z)),R_1))
               => ( hBOOL(hAPP_list_char_bool(Pa,Y_1))
                 => hBOOL(hAPP_list_char_bool(Pa,Z)) ) ) )
         => hBOOL(hAPP_list_char_bool(Pa,B)) ) ) ),
    file('theBenchmark.p',fact_797_rtrancl__induct) ).

fof(fact_798_rtrancl__induct,axiom,
    ! [Pa,A,B,R_1] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A),B)),transi2024712006on_val(R_1)))
     => ( hBOOL(hAPP_P1708370145l_bool(Pa,A))
       => ( ! [Y_1,Z] :
              ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A),Y_1)),transi2024712006on_val(R_1)))
             => ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,Y_1),Z)),R_1))
               => ( hBOOL(hAPP_P1708370145l_bool(Pa,Y_1))
                 => hBOOL(hAPP_P1708370145l_bool(Pa,Z)) ) ) )
         => hBOOL(hAPP_P1708370145l_bool(Pa,B)) ) ) ),
    file('theBenchmark.p',fact_798_rtrancl__induct) ).

fof(fact_799_rtrancl__induct,axiom,
    ! [Pa,A,B,R_1] :
      ( hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A),B)),transi935034983cl_val(R_1)))
     => ( hBOOL(hAPP_val_bool(Pa,A))
       => ( ! [Y_1,Z] :
              ( hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A),Y_1)),transi935034983cl_val(R_1)))
             => ( hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,Y_1),Z)),R_1))
               => ( hBOOL(hAPP_val_bool(Pa,Y_1))
                 => hBOOL(hAPP_val_bool(Pa,Z)) ) ) )
         => hBOOL(hAPP_val_bool(Pa,B)) ) ) ),
    file('theBenchmark.p',fact_799_rtrancl__induct) ).

fof(fact_800_pred__subset__eq2,axiom,
    ! [R_2,S_4] :
      ( hBOOL(hAPP_f1931964053l_bool(ord_le2008677227r_bool(hAPP_f1209019955r_bool(hAPP_f521496323r_bool(cOMBC_654453230r_bool,hAPP_f732843907r_bool(hAPP_f1563448447r_bool(cOMBB_1490692730t_char,cOMBC_390659185l_bool),hAPP_f1868463117l_bool(hAPP_f1365840271l_bool(cOMBB_1705938036t_char,hAPP_f1937828171l_bool(cOMBB_1681501894t_char,member1601084734t_char)),produc1331140167t_char))),R_2)),hAPP_f1209019955r_bool(hAPP_f521496323r_bool(cOMBC_654453230r_bool,hAPP_f732843907r_bool(hAPP_f1563448447r_bool(cOMBB_1490692730t_char,cOMBC_390659185l_bool),hAPP_f1868463117l_bool(hAPP_f1365840271l_bool(cOMBB_1705938036t_char,hAPP_f1937828171l_bool(cOMBB_1681501894t_char,member1601084734t_char)),produc1331140167t_char))),S_4)))
    <=> hBOOL(hAPP_f483496539l_bool(ord_le1987888477r_bool(R_2),S_4)) ),
    file('theBenchmark.p',fact_800_pred__subset__eq2) ).

fof(fact_801_pred__subset__eq2,axiom,
    ! [R_2,S_4] :
      ( hBOOL(hAPP_f1795246582l_bool(ord_le735260024r_bool(hAPP_f2025561243r_bool(hAPP_f1500560577r_bool(cOMBC_1784597444r_bool,hAPP_f29105311r_bool(hAPP_f953097879r_bool(cOMBB_672864638t_char,cOMBC_1338332465l_bool),hAPP_f333583909l_bool(hAPP_f1407048615l_bool(cOMBB_741416308t_char,hAPP_f937861397l_bool(cOMBB_1520154591t_char,member1467889965t_char)),produc822965838t_char))),R_2)),hAPP_f2025561243r_bool(hAPP_f1500560577r_bool(cOMBC_1784597444r_bool,hAPP_f29105311r_bool(hAPP_f953097879r_bool(cOMBB_672864638t_char,cOMBC_1338332465l_bool),hAPP_f333583909l_bool(hAPP_f1407048615l_bool(cOMBB_741416308t_char,hAPP_f937861397l_bool(cOMBB_1520154591t_char,member1467889965t_char)),produc822965838t_char))),S_4)))
    <=> hBOOL(hAPP_f515912112l_bool(ord_le117566470r_bool(R_2),S_4)) ),
    file('theBenchmark.p',fact_801_pred__subset__eq2) ).

fof(fact_802_pred__subset__eq2,axiom,
    ! [R_2,S_4] :
      ( hBOOL(hAPP_f861853459l_bool(ord_le1270183657l_bool(hAPP_f447422815l_bool(hAPP_f2052909183l_bool(cOMBC_766524526l_bool,hAPP_f1427871743l_bool(hAPP_f32926423l_bool(cOMBB_779086262on_val,cOMBC_1491642377l_bool),hAPP_f1082373989l_bool(hAPP_f869803751l_bool(cOMBB_555068556on_val,hAPP_f810261999l_bool(cOMBB_1034324152on_val,member875476972on_val)),produc1611380469on_val))),R_2)),hAPP_f447422815l_bool(hAPP_f2052909183l_bool(cOMBC_766524526l_bool,hAPP_f1427871743l_bool(hAPP_f32926423l_bool(cOMBB_779086262on_val,cOMBC_1491642377l_bool),hAPP_f1082373989l_bool(hAPP_f869803751l_bool(cOMBB_555068556on_val,hAPP_f810261999l_bool(cOMBB_1034324152on_val,member875476972on_val)),produc1611380469on_val))),S_4)))
    <=> hBOOL(hAPP_f458849545l_bool(ord_le1438917387l_bool(R_2),S_4)) ),
    file('theBenchmark.p',fact_802_pred__subset__eq2) ).

fof(fact_803_pred__subset__eq2,axiom,
    ! [R_2,S_4] :
      ( hBOOL(hAPP_f1776419603l_bool(ord_le1871967977r_bool(hAPP_f344506159r_bool(hAPP_f447563647r_bool(cOMBC_389248878r_bool,hAPP_f1032444159r_bool(hAPP_f254182519r_bool(cOMBB_1551681790t_char,cOMBC_1603044337l_bool),hAPP_f1764180741l_bool(hAPP_f247798919l_bool(cOMBB_526805108t_char,hAPP_f144783951l_bool(cOMBB_1586673472t_char,member1251428284t_char)),produc5062597t_char))),R_2)),hAPP_f344506159r_bool(hAPP_f447563647r_bool(cOMBC_389248878r_bool,hAPP_f1032444159r_bool(hAPP_f254182519r_bool(cOMBB_1551681790t_char,cOMBC_1603044337l_bool),hAPP_f1764180741l_bool(hAPP_f247798919l_bool(cOMBB_526805108t_char,hAPP_f144783951l_bool(cOMBB_1586673472t_char,member1251428284t_char)),produc5062597t_char))),S_4)))
    <=> hBOOL(hAPP_f2106398425l_bool(ord_le640323803r_bool(R_2),S_4)) ),
    file('theBenchmark.p',fact_803_pred__subset__eq2) ).

fof(fact_804_pred__subset__eq2,axiom,
    ! [R_2,S_4] :
      ( hBOOL(hAPP_f434955681l_bool(ord_le1050317687l_bool(hAPP_f1200025813l_bool(hAPP_f1089788553l_bool(cOMBC_967917532l_bool,hAPP_f2095325577l_bool(hAPP_f1135930489l_bool(cOMBB_1223415373on_val,cOMBC_1608987946l_bool),hAPP_f1204100177l_bool(hAPP_f2026692601l_bool(cOMBB_1977588741on_val,hAPP_f1510763001l_bool(cOMBB_565412073on_val,member773094996on_val)),produc1441475159on_val))),R_2)),hAPP_f1200025813l_bool(hAPP_f1089788553l_bool(cOMBC_967917532l_bool,hAPP_f2095325577l_bool(hAPP_f1135930489l_bool(cOMBB_1223415373on_val,cOMBC_1608987946l_bool),hAPP_f1204100177l_bool(hAPP_f2026692601l_bool(cOMBB_1977588741on_val,hAPP_f1510763001l_bool(cOMBB_565412073on_val,member773094996on_val)),produc1441475159on_val))),S_4)))
    <=> hBOOL(hAPP_f1453283057l_bool(ord_le1776148979l_bool(R_2),S_4)) ),
    file('theBenchmark.p',fact_804_pred__subset__eq2) ).

fof(fact_805_pred__subset__eq2,axiom,
    ! [R_2,S_4] :
      ( hBOOL(hAPP_f539072365l_bool(ord_le176694639r_bool(hAPP_f2091926485r_bool(hAPP_f1820115955r_bool(cOMBC_790582442r_bool,hAPP_f2059406941r_bool(hAPP_f108089737r_bool(cOMBB_2143526097t_char,cOMBC_220519196l_bool),hAPP_f165071409l_bool(hAPP_f1174637065l_bool(cOMBB_33167485t_char,hAPP_f380623487l_bool(cOMBB_1033145403t_char,member1840112042t_char)),produc1147572817t_char))),R_2)),hAPP_f2091926485r_bool(hAPP_f1820115955r_bool(cOMBC_790582442r_bool,hAPP_f2059406941r_bool(hAPP_f108089737r_bool(cOMBB_2143526097t_char,cOMBC_220519196l_bool),hAPP_f165071409l_bool(hAPP_f1174637065l_bool(cOMBB_33167485t_char,hAPP_f380623487l_bool(cOMBB_1033145403t_char,member1840112042t_char)),produc1147572817t_char))),S_4)))
    <=> hBOOL(hAPP_f82569901l_bool(ord_le715555971r_bool(R_2),S_4)) ),
    file('theBenchmark.p',fact_805_pred__subset__eq2) ).

fof(fact_806_pred__subset__eq2,axiom,
    ! [R_2,S_4] :
      ( hBOOL(hAPP_f1409772418l_bool(ord_le458107652r_bool(hAPP_f306469557r_bool(hAPP_f197435839r_bool(cOMBC_886773442r_bool,hAPP_f1749915625r_bool(hAPP_f842743203r_bool(cOMBB_657296617har_ty,cOMBC_1407716098l_bool),hAPP_f935003377l_bool(hAPP_f162154931l_bool(cOMBB_859890145har_ty,hAPP_f1847120981l_bool(cOMBB_1035649854t_char,member1379348767t_char)),produc1152259904t_char))),R_2)),hAPP_f306469557r_bool(hAPP_f197435839r_bool(cOMBC_886773442r_bool,hAPP_f1749915625r_bool(hAPP_f842743203r_bool(cOMBB_657296617har_ty,cOMBC_1407716098l_bool),hAPP_f935003377l_bool(hAPP_f162154931l_bool(cOMBB_859890145har_ty,hAPP_f1847120981l_bool(cOMBB_1035649854t_char,member1379348767t_char)),produc1152259904t_char))),S_4)))
    <=> hBOOL(hAPP_f1161798306l_bool(ord_le1734858744r_bool(R_2),S_4)) ),
    file('theBenchmark.p',fact_806_pred__subset__eq2) ).

fof(fact_807_pred__subset__eq2,axiom,
    ! [R_2,S_4] :
      ( hBOOL(hAPP_f1520735791l_bool(ord_le1151384881r_bool(hAPP_f719350875r_bool(hAPP_f2133563379r_bool(cOMBC_1025440566r_bool,hAPP_f1957374161r_bool(hAPP_f304993943r_bool(cOMBB_847828016t_char,cOMBC_516637475l_bool),hAPP_f1817350437l_bool(hAPP_f614662951l_bool(cOMBB_1558246132t_char,hAPP_f251669717l_bool(cOMBB_773661144t_char,member1771544038t_char)),produc1483578759t_char))),R_2)),hAPP_f719350875r_bool(hAPP_f2133563379r_bool(cOMBC_1025440566r_bool,hAPP_f1957374161r_bool(hAPP_f304993943r_bool(cOMBB_847828016t_char,cOMBC_516637475l_bool),hAPP_f1817350437l_bool(hAPP_f614662951l_bool(cOMBB_1558246132t_char,hAPP_f251669717l_bool(cOMBB_773661144t_char,member1771544038t_char)),produc1483578759t_char))),S_4)))
    <=> hBOOL(hAPP_f2050077417l_bool(ord_le725666495r_bool(R_2),S_4)) ),
    file('theBenchmark.p',fact_807_pred__subset__eq2) ).

fof(fact_808_pred__subset__eq2,axiom,
    ! [R_2,S_4] :
      ( hBOOL(hAPP_f1118567467l_bool(ord_le989574145r_bool(hAPP_f1051205629r_bool(hAPP_f987862447r_bool(cOMBC_1387630958r_bool,hAPP_f1449341487r_bool(hAPP_f1823921107r_bool(cOMBB_308691073st_val,cOMBC_818212448l_bool),hAPP_f2118054305l_bool(hAPP_f1687138147l_bool(cOMBB_2078271971st_val,hAPP_f1612138403l_bool(cOMBB_961360819t_char,member699351154t_char)),produc1916172923t_char))),R_2)),hAPP_f1051205629r_bool(hAPP_f987862447r_bool(cOMBC_1387630958r_bool,hAPP_f1449341487r_bool(hAPP_f1823921107r_bool(cOMBB_308691073st_val,cOMBC_818212448l_bool),hAPP_f2118054305l_bool(hAPP_f1687138147l_bool(cOMBB_2078271971st_val,hAPP_f1612138403l_bool(cOMBB_961360819t_char,member699351154t_char)),produc1916172923t_char))),S_4)))
    <=> hBOOL(hAPP_f1314764175l_bool(ord_le1852058257r_bool(R_2),S_4)) ),
    file('theBenchmark.p',fact_808_pred__subset__eq2) ).

fof(fact_809_pred__subset__eq2,axiom,
    ! [R_2,S_4] :
      ( hBOOL(hAPP_f1889282162l_bool(ord_le1449176264r_bool(hAPP_f2071340985r_bool(hAPP_f133320957r_bool(cOMBC_1127703214r_bool,hAPP_f1608277885r_bool(hAPP_f1134248971r_bool(cOMBB_338473166ist_ty,cOMBC_1365742487l_bool),hAPP_f2047757465l_bool(hAPP_f466945179l_bool(cOMBB_68065882ist_ty,hAPP_f693085049l_bool(cOMBB_147773915t_char,member140606439t_char)),produc1909267824t_char))),R_2)),hAPP_f2071340985r_bool(hAPP_f133320957r_bool(cOMBC_1127703214r_bool,hAPP_f1608277885r_bool(hAPP_f1134248971r_bool(cOMBB_338473166ist_ty,cOMBC_1365742487l_bool),hAPP_f2047757465l_bool(hAPP_f466945179l_bool(cOMBB_68065882ist_ty,hAPP_f693085049l_bool(cOMBB_147773915t_char,member140606439t_char)),produc1909267824t_char))),S_4)))
    <=> hBOOL(hAPP_f1746574980l_bool(ord_le1218729222r_bool(R_2),S_4)) ),
    file('theBenchmark.p',fact_809_pred__subset__eq2) ).

fof(fact_810_pred__subset__eq2,axiom,
    ! [R_2,S_4] :
      ( hBOOL(hAPP_f998390560l_bool(ord_le817953186r_bool(hAPP_f1044627221r_bool(hAPP_f308875635r_bool(cOMBC_1718404842r_bool,hAPP_f531187933r_bool(hAPP_f179418505r_bool(cOMBB_550632017t_char,cOMBC_407285762l_bool),hAPP_f1136362289l_bool(hAPP_f1736484361l_bool(cOMBB_2042763133t_char,hAPP_f1715733055l_bool(cOMBB_123628846t_char,member133545693t_char)),produc921874948t_char))),R_2)),hAPP_f1044627221r_bool(hAPP_f308875635r_bool(cOMBC_1718404842r_bool,hAPP_f531187933r_bool(hAPP_f179418505r_bool(cOMBB_550632017t_char,cOMBC_407285762l_bool),hAPP_f1136362289l_bool(hAPP_f1736484361l_bool(cOMBB_2042763133t_char,hAPP_f1715733055l_bool(cOMBB_123628846t_char,member133545693t_char)),produc921874948t_char))),S_4)))
    <=> hBOOL(hAPP_f1780084320l_bool(ord_le1579844278r_bool(R_2),S_4)) ),
    file('theBenchmark.p',fact_810_pred__subset__eq2) ).

fof(fact_811_pred__subset__eq2,axiom,
    ! [R_2,S_4] :
      ( hBOOL(hAPP_f2041029616l_bool(ord_le285175110l_bool(hAPP_f844901525l_bool(hAPP_f348508809l_bool(cOMBC_622308798l_bool,hAPP_f1149562121l_bool(hAPP_f1850037271l_bool(cOMBB_773375802t_char,cOMBC_2141828763l_bool),hAPP_f1752856401l_bool(hAPP_f552300311l_bool(cOMBB_1270208498t_char,hAPP_f1564338425l_bool(cOMBB_1078680455on_val,member1972431429on_val)),produc379668296on_val))),R_2)),hAPP_f844901525l_bool(hAPP_f348508809l_bool(cOMBC_622308798l_bool,hAPP_f1149562121l_bool(hAPP_f1850037271l_bool(cOMBB_773375802t_char,cOMBC_2141828763l_bool),hAPP_f1752856401l_bool(hAPP_f552300311l_bool(cOMBB_1270208498t_char,hAPP_f1564338425l_bool(cOMBB_1078680455on_val,member1972431429on_val)),produc379668296on_val))),S_4)))
    <=> hBOOL(hAPP_f837795298l_bool(ord_le1461833060l_bool(R_2),S_4)) ),
    file('theBenchmark.p',fact_811_pred__subset__eq2) ).

fof(fact_812_pred__subset__eq2,axiom,
    ! [R_2,S_4] :
      ( hBOOL(hAPP_f2071159779l_bool(ord_le408082617l_bool(hAPP_f198821591l_bool(hAPP_f1880802701l_bool(cOMBC_1979963740l_bool,hAPP_f1859053709l_bool(hAPP_f400269243l_bool(cOMBB_1701031980ol_val,cOMBC_331963401l_bool),hAPP_f293485653l_bool(hAPP_f565735867l_bool(cOMBB_815843940ol_val,hAPP_f183649339l_bool(cOMBB_2078984970ol_val,member649088532al_val)),product_Pair_val_val))),R_2)),hAPP_f198821591l_bool(hAPP_f1880802701l_bool(cOMBC_1979963740l_bool,hAPP_f1859053709l_bool(hAPP_f400269243l_bool(cOMBB_1701031980ol_val,cOMBC_331963401l_bool),hAPP_f293485653l_bool(hAPP_f565735867l_bool(cOMBB_815843940ol_val,hAPP_f183649339l_bool(cOMBB_2078984970ol_val,member649088532al_val)),product_Pair_val_val))),S_4)))
    <=> hBOOL(hAPP_f2028441009l_bool(ord_le310098611l_bool(R_2),S_4)) ),
    file('theBenchmark.p',fact_812_pred__subset__eq2) ).

fof(fact_813_pred__subset__eq2,axiom,
    ! [R_2,S_4] :
      ( hBOOL(hAPP_f1776070952l_bool(ord_le1725884030l_bool(hAPP_f257113085l_bool(hAPP_f1100052969l_bool(cOMBC_199425070l_bool,hAPP_f2100207721l_bool(hAPP_f1374595987l_bool(cOMBB_761748254ol_bop,cOMBC_813705475l_bool),hAPP_f866074145l_bool(hAPP_f877616419l_bool(cOMBB_1458388806ol_bop,hAPP_f62511709l_bool(cOMBB_2139740953al_val,member1417904245al_val)),produc621191550al_val))),R_2)),hAPP_f257113085l_bool(hAPP_f1100052969l_bool(cOMBC_199425070l_bool,hAPP_f2100207721l_bool(hAPP_f1374595987l_bool(cOMBB_761748254ol_bop,cOMBC_813705475l_bool),hAPP_f866074145l_bool(hAPP_f877616419l_bool(cOMBB_1458388806ol_bop,hAPP_f62511709l_bool(cOMBB_2139740953al_val,member1417904245al_val)),produc621191550al_val))),S_4)))
    <=> hBOOL(hAPP_f742333458l_bool(ord_le1467847572l_bool(R_2),S_4)) ),
    file('theBenchmark.p',fact_813_pred__subset__eq2) ).

fof(fact_814_pred__subset__eq2,axiom,
    ! [R_2,S_4] :
      ( hBOOL(hAPP_f678833350l_bool(ord_le188521288l_bool(hAPP_f2080627739l_bool(hAPP_f350189921l_bool(cOMBC_1535683812l_bool,hAPP_f1094343359l_bool(hAPP_f876671127l_bool(cOMBB_1200577438t_char,cOMBC_317789649l_bool),hAPP_f1370205989l_bool(hAPP_f1406462375l_bool(cOMBB_109816436t_char,hAPP_f919000597l_bool(cOMBB_1153773871on_val,member1542417277on_val)),produc823076510on_val))),R_2)),hAPP_f2080627739l_bool(hAPP_f350189921l_bool(cOMBC_1535683812l_bool,hAPP_f1094343359l_bool(hAPP_f876671127l_bool(cOMBB_1200577438t_char,cOMBC_317789649l_bool),hAPP_f1370205989l_bool(hAPP_f1406462375l_bool(cOMBB_109816436t_char,hAPP_f919000597l_bool(cOMBB_1153773871on_val,member1542417277on_val)),produc823076510on_val))),S_4)))
    <=> hBOOL(hAPP_f1134950784l_bool(ord_le1744419030l_bool(R_2),S_4)) ),
    file('theBenchmark.p',fact_814_pred__subset__eq2) ).

fof(fact_815_pred__subset__eq2,axiom,
    ! [R_2,S_4] :
      ( hBOOL(hAPP_f1450446905l_bool(ord_le125655867l_bool(hAPP_f47713631l_bool(hAPP_f77033475l_bool(cOMBC_1317565126l_bool,hAPP_f1250221913l_bool(hAPP_f1860331535l_bool(cOMBB_2084052674on_val,cOMBC_1518234801l_bool),hAPP_f1670595613l_bool(hAPP_f1472899487l_bool(cOMBB_588525814on_val,hAPP_f1168269397l_bool(cOMBB_1293776864on_val,member763590124on_val)),produc899768717on_val))),R_2)),hAPP_f47713631l_bool(hAPP_f77033475l_bool(cOMBC_1317565126l_bool,hAPP_f1250221913l_bool(hAPP_f1860331535l_bool(cOMBB_2084052674on_val,cOMBC_1518234801l_bool),hAPP_f1670595613l_bool(hAPP_f1472899487l_bool(cOMBB_588525814on_val,hAPP_f1168269397l_bool(cOMBB_1293776864on_val,member763590124on_val)),produc899768717on_val))),S_4)))
    <=> hBOOL(hAPP_f966411375l_bool(ord_le1908998213l_bool(R_2),S_4)) ),
    file('theBenchmark.p',fact_815_pred__subset__eq2) ).

fof(fact_816_pred__subset__eq2,axiom,
    ! [R_2,S_4] :
      ( hBOOL(hAPP_f570766339l_bool(ord_le1080391173l_bool(hAPP_f989077673l_bool(hAPP_f40682957l_bool(cOMBC_562612496l_bool,hAPP_f1475571983l_bool(hAPP_f1946480059l_bool(cOMBB_673739729t_char,cOMBC_1585774710l_bool),hAPP_f1614195593l_bool(hAPP_f705562443l_bool(cOMBB_507006011t_char,hAPP_f1639555093l_bool(cOMBB_985659173on_val,member840932460on_val)),produc1259058957on_val))),R_2)),hAPP_f989077673l_bool(hAPP_f40682957l_bool(cOMBC_562612496l_bool,hAPP_f1475571983l_bool(hAPP_f1946480059l_bool(cOMBB_673739729t_char,cOMBC_1585774710l_bool),hAPP_f1614195593l_bool(hAPP_f705562443l_bool(cOMBB_507006011t_char,hAPP_f1639555093l_bool(cOMBB_985659173on_val,member840932460on_val)),produc1259058957on_val))),S_4)))
    <=> hBOOL(hAPP_f91506671l_bool(ord_le1668954565l_bool(R_2),S_4)) ),
    file('theBenchmark.p',fact_816_pred__subset__eq2) ).

fof(fact_817_xt1_I6_J,axiom,
    ! [Z_1,Y_2,X_2] :
      ( hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(Y_2),X_2))
     => ( hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(Z_1),Y_2))
       => hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(Z_1),X_2)) ) ),
    file('theBenchmark.p',fact_817_xt1_I6_J) ).

fof(fact_818_xt1_I5_J,axiom,
    ! [Y_2,X_2] :
      ( hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(Y_2),X_2))
     => ( hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(X_2),Y_2))
       => X_2 = Y_2 ) ),
    file('theBenchmark.p',fact_818_xt1_I5_J) ).

fof(fact_819_order__trans,axiom,
    ! [Z_1,X_2,Y_2] :
      ( hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(X_2),Y_2))
     => ( hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(Y_2),Z_1))
       => hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(X_2),Z_1)) ) ),
    file('theBenchmark.p',fact_819_order__trans) ).

fof(fact_820_order__antisym,axiom,
    ! [X_2,Y_2] :
      ( hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(X_2),Y_2))
     => ( hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(Y_2),X_2))
       => X_2 = Y_2 ) ),
    file('theBenchmark.p',fact_820_order__antisym) ).

fof(fact_821_xt1_I4_J,axiom,
    ! [C_2,B,A] :
      ( hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(B),A))
     => ( B = C_2
       => hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(C_2),A)) ) ),
    file('theBenchmark.p',fact_821_xt1_I4_J) ).

fof(fact_822_ord__le__eq__trans,axiom,
    ! [C_2,A,B] :
      ( hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(A),B))
     => ( B = C_2
       => hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(A),C_2)) ) ),
    file('theBenchmark.p',fact_822_ord__le__eq__trans) ).

fof(fact_823_xt1_I3_J,axiom,
    ! [C_2,A,B] :
      ( A = B
     => ( hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(C_2),B))
       => hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(C_2),A)) ) ),
    file('theBenchmark.p',fact_823_xt1_I3_J) ).

fof(fact_824_ord__eq__le__trans,axiom,
    ! [C_2,A,B] :
      ( A = B
     => ( hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(B),C_2))
       => hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(A),C_2)) ) ),
    file('theBenchmark.p',fact_824_ord__eq__le__trans) ).

fof(fact_825_order__antisym__conv,axiom,
    ! [Y_2,X_2] :
      ( hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(Y_2),X_2))
     => ( hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(X_2),Y_2))
      <=> X_2 = Y_2 ) ),
    file('theBenchmark.p',fact_825_order__antisym__conv) ).

fof(fact_826_order__eq__refl,axiom,
    ! [X_2,Y_2] :
      ( X_2 = Y_2
     => hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(X_2),Y_2)) ),
    file('theBenchmark.p',fact_826_order__eq__refl) ).

fof(fact_827_order__eq__iff,axiom,
    ! [X_2,Y_2] :
      ( X_2 = Y_2
    <=> ( hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(Y_2),X_2))
        & hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(X_2),Y_2)) ) ),
    file('theBenchmark.p',fact_827_order__eq__iff) ).

fof(fact_828_le__funE,axiom,
    ! [X_2,F_1,G] :
      ( hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(F_1),G))
     => hBOOL(hAPP_bool_bool(ord_less_eq_bool(hAPP_list_char_bool(F_1,X_2)),hAPP_list_char_bool(G,X_2))) ),
    file('theBenchmark.p',fact_828_le__funE) ).

fof(fact_829_le__funD,axiom,
    ! [X_2,F_1,G] :
      ( hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(F_1),G))
     => hBOOL(hAPP_bool_bool(ord_less_eq_bool(hAPP_list_char_bool(F_1,X_2)),hAPP_list_char_bool(G,X_2))) ),
    file('theBenchmark.p',fact_829_le__funD) ).

fof(fact_830_le__fun__def,axiom,
    ! [F_1,G] :
      ( hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(F_1),G))
    <=> ! [X_1] : hBOOL(hAPP_bool_bool(ord_less_eq_bool(hAPP_list_char_bool(F_1,X_1)),hAPP_list_char_bool(G,X_1))) ),
    file('theBenchmark.p',fact_830_le__fun__def) ).

fof(fact_831_wf__prog__wwf__prog,axiom,
    ! [Pa] :
      ( hBOOL(wf_pro755087577t_char(wf_J_mdecl,Pa))
     => hBOOL(wf_pro755087577t_char(wwf_J_mdecl,Pa)) ),
    file('theBenchmark.p',fact_831_wf__prog__wwf__prog) ).

fof(fact_832_wf__mdecl__wwf__mdecl,axiom,
    ! [P,C_3,Md] :
      ( hBOOL(hAPP_P1384137393r_bool(hAPP_l2054741776r_bool(hAPP_l2138409430r_bool(wf_J_mdecl,P),C_3),Md))
     => hBOOL(hAPP_P1384137393r_bool(hAPP_l2054741776r_bool(hAPP_l2138409430r_bool(wwf_J_mdecl,P),C_3),Md)) ),
    file('theBenchmark.p',fact_832_wf__mdecl__wwf__mdecl) ).

fof(fact_833_Red__fv,axiom,
    ! [Eb,Hb,Lb,E_b,H_b,L_b,Pa] :
      ( hBOOL(wf_pro755087577t_char(wwf_J_mdecl,Pa))
     => ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),L_b)))),red(Pa)))
       => hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(fv(E_b)),fv(Eb))) ) ),
    file('theBenchmark.p',fact_833_Red__fv) ).

fof(fact_834_rtranclE,axiom,
    ! [A,B,R_1] :
      ( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A),B)),transi374442731on_val(R_1)))
     => ( A != B
       => ~ ! [Y_1] :
              ( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A),Y_1)),transi374442731on_val(R_1)))
             => ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,Y_1),B)),R_1)) ) ) ),
    file('theBenchmark.p',fact_834_rtranclE) ).

fof(fact_835_rtranclE,axiom,
    ! [A,B,R_1] :
      ( hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A),B)),transi1395422419t_char(R_1)))
     => ( A != B
       => ~ ! [Y_1] :
              ( hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A),Y_1)),transi1395422419t_char(R_1)))
             => ~ hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,Y_1),B)),R_1)) ) ) ),
    file('theBenchmark.p',fact_835_rtranclE) ).

fof(fact_836_rtranclE,axiom,
    ! [A,B,R_1] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A),B)),transi2024712006on_val(R_1)))
     => ( A != B
       => ~ ! [Y_1] :
              ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A),Y_1)),transi2024712006on_val(R_1)))
             => ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,Y_1),B)),R_1)) ) ) ),
    file('theBenchmark.p',fact_836_rtranclE) ).

fof(fact_837_rtranclE,axiom,
    ! [A,B,R_1] :
      ( hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A),B)),transi935034983cl_val(R_1)))
     => ( A != B
       => ~ ! [Y_1] :
              ( hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A),Y_1)),transi935034983cl_val(R_1)))
             => ~ hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,Y_1),B)),R_1)) ) ) ),
    file('theBenchmark.p',fact_837_rtranclE) ).

fof(fact_838_converse__rtranclE,axiom,
    ! [X_2,Z_1,R_1] :
      ( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,X_2),Z_1)),transi374442731on_val(R_1)))
     => ( X_2 != Z_1
       => ~ ! [Y_1] :
              ( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,X_2),Y_1)),R_1))
             => ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,Y_1),Z_1)),transi374442731on_val(R_1))) ) ) ),
    file('theBenchmark.p',fact_838_converse__rtranclE) ).

fof(fact_839_converse__rtranclE,axiom,
    ! [X_2,Z_1,R_1] :
      ( hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,X_2),Z_1)),transi1395422419t_char(R_1)))
     => ( X_2 != Z_1
       => ~ ! [Y_1] :
              ( hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,X_2),Y_1)),R_1))
             => ~ hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,Y_1),Z_1)),transi1395422419t_char(R_1))) ) ) ),
    file('theBenchmark.p',fact_839_converse__rtranclE) ).

fof(fact_840_converse__rtranclE,axiom,
    ! [X_2,Z_1,R_1] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,X_2),Z_1)),transi2024712006on_val(R_1)))
     => ( X_2 != Z_1
       => ~ ! [Y_1] :
              ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,X_2),Y_1)),R_1))
             => ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,Y_1),Z_1)),transi2024712006on_val(R_1))) ) ) ),
    file('theBenchmark.p',fact_840_converse__rtranclE) ).

fof(fact_841_converse__rtranclE,axiom,
    ! [X_2,Z_1,R_1] :
      ( hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,X_2),Z_1)),transi935034983cl_val(R_1)))
     => ( X_2 != Z_1
       => ~ ! [Y_1] :
              ( hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,X_2),Y_1)),R_1))
             => ~ hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,Y_1),Z_1)),transi935034983cl_val(R_1))) ) ) ),
    file('theBenchmark.p',fact_841_converse__rtranclE) ).

fof(fact_842_converse__rtrancl__induct,axiom,
    ! [Pa,A,B,R_1] :
      ( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A),B)),transi374442731on_val(R_1)))
     => ( hBOOL(hAPP_P71593144l_bool(Pa,B))
       => ( ! [Y_1,Z] :
              ( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,Y_1),Z)),R_1))
             => ( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,Z),B)),transi374442731on_val(R_1)))
               => ( hBOOL(hAPP_P71593144l_bool(Pa,Z))
                 => hBOOL(hAPP_P71593144l_bool(Pa,Y_1)) ) ) )
         => hBOOL(hAPP_P71593144l_bool(Pa,A)) ) ) ),
    file('theBenchmark.p',fact_842_converse__rtrancl__induct) ).

fof(fact_843_converse__rtrancl__induct,axiom,
    ! [Pa,A,B,R_1] :
      ( hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A),B)),transi1395422419t_char(R_1)))
     => ( hBOOL(hAPP_list_char_bool(Pa,B))
       => ( ! [Y_1,Z] :
              ( hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,Y_1),Z)),R_1))
             => ( hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,Z),B)),transi1395422419t_char(R_1)))
               => ( hBOOL(hAPP_list_char_bool(Pa,Z))
                 => hBOOL(hAPP_list_char_bool(Pa,Y_1)) ) ) )
         => hBOOL(hAPP_list_char_bool(Pa,A)) ) ) ),
    file('theBenchmark.p',fact_843_converse__rtrancl__induct) ).

fof(fact_844_converse__rtrancl__induct,axiom,
    ! [Pa,A,B,R_1] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A),B)),transi2024712006on_val(R_1)))
     => ( hBOOL(hAPP_P1708370145l_bool(Pa,B))
       => ( ! [Y_1,Z] :
              ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,Y_1),Z)),R_1))
             => ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,Z),B)),transi2024712006on_val(R_1)))
               => ( hBOOL(hAPP_P1708370145l_bool(Pa,Z))
                 => hBOOL(hAPP_P1708370145l_bool(Pa,Y_1)) ) ) )
         => hBOOL(hAPP_P1708370145l_bool(Pa,A)) ) ) ),
    file('theBenchmark.p',fact_844_converse__rtrancl__induct) ).

fof(fact_845_converse__rtrancl__induct,axiom,
    ! [Pa,A,B,R_1] :
      ( hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A),B)),transi935034983cl_val(R_1)))
     => ( hBOOL(hAPP_val_bool(Pa,B))
       => ( ! [Y_1,Z] :
              ( hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,Y_1),Z)),R_1))
             => ( hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,Z),B)),transi935034983cl_val(R_1)))
               => ( hBOOL(hAPP_val_bool(Pa,Z))
                 => hBOOL(hAPP_val_bool(Pa,Y_1)) ) ) )
         => hBOOL(hAPP_val_bool(Pa,A)) ) ) ),
    file('theBenchmark.p',fact_845_converse__rtrancl__induct) ).

fof(fact_846_le__funI,axiom,
    ! [F_1,G] :
      ( ! [X_1] : hBOOL(hAPP_bool_bool(ord_less_eq_bool(hAPP_list_char_bool(F_1,X_1)),hAPP_list_char_bool(G,X_1)))
     => hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(F_1),G)) ),
    file('theBenchmark.p',fact_846_le__funI) ).

fof(fact_847_big__iff__small,axiom,
    ! [Eb,S,E_b,S_2,Pa] :
      ( hBOOL(wf_pro755087577t_char(wwf_J_mdecl,Pa))
     => ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S),E_b),S_2))
      <=> ( hBOOL(final_list_char(E_b))
          & hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_2))),transi2024712006on_val(red(Pa)))) ) ) ),
    file('theBenchmark.p',fact_847_big__iff__small) ).

fof(fact_848_eval__notfree__unchanged,axiom,
    ! [Va_1,Pa,Eb,Hb,Lb,E_b,H_b,L_b] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb)),E_b),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),L_b)))
     => ( ~ hBOOL(hAPP_f986089162l_bool(hAPP_l1903254203l_bool(member_list_char,Va_1),fv(Eb)))
       => hAPP_l207779698on_val(L_b,Va_1) = hAPP_l207779698on_val(Lb,Va_1) ) ),
    file('theBenchmark.p',fact_848_eval__notfree__unchanged) ).

fof(fact_849_extend__1__eval,axiom,
    ! [E_b,S_2,Eb,S,E_5,S_3,Pa] :
      ( hBOOL(wf_pro755087577t_char(wwf_J_mdecl,Pa))
     => ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_5),S_3))),red(Pa)))
       => ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_5,S_3),E_b),S_2))
         => hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S),E_b),S_2)) ) ) ),
    file('theBenchmark.p',fact_849_extend__1__eval) ).

fof(fact_850_big__by__small,axiom,
    ! [Eb,S,E_b,S_2,Pa] :
      ( hBOOL(wf_pro755087577t_char(wwf_J_mdecl,Pa))
     => ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S),E_b),S_2))
       => hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_2))),transi2024712006on_val(red(Pa)))) ) ),
    file('theBenchmark.p',fact_850_big__by__small) ).

fof(fact_851_extend__eval,axiom,
    ! [E_b,S_2,Eb,S,E_5,S_3,Pa] :
      ( hBOOL(wf_pro755087577t_char(wwf_J_mdecl,Pa))
     => ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_5),S_3))),transi2024712006on_val(red(Pa))))
       => ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_5,S_3),E_b),S_2))
         => hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S),E_b),S_2)) ) ) ),
    file('theBenchmark.p',fact_851_extend__eval) ).

fof(fact_852_small__by__big,axiom,
    ! [Eb,S,E_b,S_2,Pa] :
      ( hBOOL(wf_pro755087577t_char(wwf_J_mdecl,Pa))
     => ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_2))),transi2024712006on_val(red(Pa))))
       => ( hBOOL(final_list_char(E_b))
         => hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S),E_b),S_2)) ) ) ),
    file('theBenchmark.p',fact_852_small__by__big) ).

fof(fact_853_LAss,axiom,
    ! [L_b,Va_1,Pa,Eb,S_0,Va,Hb,Lb] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S_0),hAPP_v834067052t_char(val_list_char,Va)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb)))
     => ( L_b = fun_up1149430426on_val(Lb,Va_1,hAPP_val_option_val(some_val,Va))
       => hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,lAss_list_char(Va_1,Eb),S_0),hAPP_v834067052t_char(val_list_char,unit)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),L_b))) ) ),
    file('theBenchmark.p',fact_853_LAss) ).

fof(fact_854_Block,axiom,
    ! [Ta,Pa,E_0,H_0,L_0,Va_1,E_1_1,H_1,L_1_1] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_0,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_0),fun_up1149430426on_val(L_0,Va_1,none_val))),E_1_1),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_1),L_1_1)))
     => hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,block_list_char(Va_1,Ta,E_0),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_0),L_0)),E_1_1),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_1),fun_up1149430426on_val(L_1_1,Va_1,hAPP_l207779698on_val(L_0,Va_1))))) ),
    file('theBenchmark.p',fact_854_Block) ).

fof(fact_855_eval__lcl__incr,axiom,
    ! [Pa,Eb,H_0,L_0,E_b,H_1,L_1_1] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_0),L_0)),E_b),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_1),L_1_1)))
     => hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(dom_list_char_val(L_0)),dom_list_char_val(L_1_1))) ),
    file('theBenchmark.p',fact_855_eval__lcl__incr) ).

fof(fact_856_eval__hext,axiom,
    ! [Pa,Eb,Hb,Lb,E_b,H_b,L_b] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb)),E_b),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),L_b)))
     => hBOOL(hext(Hb,H_b)) ),
    file('theBenchmark.p',fact_856_eval__hext) ).

fof(fact_857_Seq,axiom,
    ! [E_1_1,E_2,S_2_1,Pa,E_0,S_0,Va,S_1] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_0,S_0),hAPP_v834067052t_char(val_list_char,Va)),S_1))
     => ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1_1,S_1),E_2),S_2_1))
       => hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,seq_list_char(E_0,E_1_1),S_0),E_2),S_2_1)) ) ),
    file('theBenchmark.p',fact_857_Seq) ).

fof(fact_858_Reds__dom__lcl,axiom,
    ! [Eb,Hb,Lb,E_b,H_b,L_b,Pa] :
      ( hBOOL(wf_pro755087577t_char(wwf_J_mdecl,Pa))
     => ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),L_b)))),transi2024712006on_val(red(Pa))))
       => hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(dom_list_char_val(L_b)),semila919158006r_bool(dom_list_char_val(Lb),fv(Eb)))) ) ),
    file('theBenchmark.p',fact_858_Reds__dom__lcl) ).

fof(fact_859_UnE,axiom,
    ! [C_2,A_2,B_1] :
      ( hBOOL(hAPP_f483496539l_bool(hAPP_P7095645l_bool(member1601084734t_char,C_2),semila1731249415r_bool(A_2,B_1)))
     => ( ~ hBOOL(hAPP_f483496539l_bool(hAPP_P7095645l_bool(member1601084734t_char,C_2),A_2))
       => hBOOL(hAPP_f483496539l_bool(hAPP_P7095645l_bool(member1601084734t_char,C_2),B_1)) ) ),
    file('theBenchmark.p',fact_859_UnE) ).

fof(fact_860_UnE,axiom,
    ! [C_2,A_2,B_1] :
      ( hBOOL(hAPP_f515912112l_bool(hAPP_P205570445l_bool(member1467889965t_char,C_2),semila1346223580r_bool(A_2,B_1)))
     => ( ~ hBOOL(hAPP_f515912112l_bool(hAPP_P205570445l_bool(member1467889965t_char,C_2),A_2))
       => hBOOL(hAPP_f515912112l_bool(hAPP_P205570445l_bool(member1467889965t_char,C_2),B_1)) ) ),
    file('theBenchmark.p',fact_860_UnE) ).

fof(fact_861_UnE,axiom,
    ! [C_2,A_2,B_1] :
      ( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,C_2),semila449273525l_bool(A_2,B_1)))
     => ( ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,C_2),A_2))
       => hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,C_2),B_1)) ) ),
    file('theBenchmark.p',fact_861_UnE) ).

fof(fact_862_UnE,axiom,
    ! [C_2,A_2,B_1] :
      ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,C_2),semila465093516t_bool(A_2,B_1)))
     => ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,C_2),A_2))
       => hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,C_2),B_1)) ) ),
    file('theBenchmark.p',fact_862_UnE) ).

fof(fact_863_UnE,axiom,
    ! [C_2,A_2,B_1] :
      ( hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,C_2),semila1168318597r_bool(A_2,B_1)))
     => ( ~ hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,C_2),A_2))
       => hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,C_2),B_1)) ) ),
    file('theBenchmark.p',fact_863_UnE) ).

fof(fact_864_UnE,axiom,
    ! [C_2,A_2,B_1] :
      ( hBOOL(hAPP_f986089162l_bool(hAPP_l1903254203l_bool(member_list_char,C_2),semila919158006r_bool(A_2,B_1)))
     => ( ~ hBOOL(hAPP_f986089162l_bool(hAPP_l1903254203l_bool(member_list_char,C_2),A_2))
       => hBOOL(hAPP_f986089162l_bool(hAPP_l1903254203l_bool(member_list_char,C_2),B_1)) ) ),
    file('theBenchmark.p',fact_864_UnE) ).

fof(fact_865_UnE,axiom,
    ! [C_2,A_2,B_1] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,C_2),semila751111325l_bool(A_2,B_1)))
     => ( ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,C_2),A_2))
       => hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,C_2),B_1)) ) ),
    file('theBenchmark.p',fact_865_UnE) ).

fof(fact_866_UnCI,axiom,
    ! [A_2,C_2,B_1] :
      ( ( ~ hBOOL(hAPP_f483496539l_bool(hAPP_P7095645l_bool(member1601084734t_char,C_2),B_1))
       => hBOOL(hAPP_f483496539l_bool(hAPP_P7095645l_bool(member1601084734t_char,C_2),A_2)) )
     => hBOOL(hAPP_f483496539l_bool(hAPP_P7095645l_bool(member1601084734t_char,C_2),semila1731249415r_bool(A_2,B_1))) ),
    file('theBenchmark.p',fact_866_UnCI) ).

fof(fact_867_UnCI,axiom,
    ! [A_2,C_2,B_1] :
      ( ( ~ hBOOL(hAPP_f515912112l_bool(hAPP_P205570445l_bool(member1467889965t_char,C_2),B_1))
       => hBOOL(hAPP_f515912112l_bool(hAPP_P205570445l_bool(member1467889965t_char,C_2),A_2)) )
     => hBOOL(hAPP_f515912112l_bool(hAPP_P205570445l_bool(member1467889965t_char,C_2),semila1346223580r_bool(A_2,B_1))) ),
    file('theBenchmark.p',fact_867_UnCI) ).

fof(fact_868_UnCI,axiom,
    ! [A_2,C_2,B_1] :
      ( ( ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,C_2),B_1))
       => hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,C_2),A_2)) )
     => hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,C_2),semila449273525l_bool(A_2,B_1))) ),
    file('theBenchmark.p',fact_868_UnCI) ).

fof(fact_869_UnCI,axiom,
    ! [A_2,C_2,B_1] :
      ( ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,C_2),B_1))
       => hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,C_2),A_2)) )
     => hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,C_2),semila465093516t_bool(A_2,B_1))) ),
    file('theBenchmark.p',fact_869_UnCI) ).

fof(fact_870_UnCI,axiom,
    ! [A_2,C_2,B_1] :
      ( ( ~ hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,C_2),B_1))
       => hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,C_2),A_2)) )
     => hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,C_2),semila1168318597r_bool(A_2,B_1))) ),
    file('theBenchmark.p',fact_870_UnCI) ).

fof(fact_871_UnCI,axiom,
    ! [A_2,C_2,B_1] :
      ( ( ~ hBOOL(hAPP_f986089162l_bool(hAPP_l1903254203l_bool(member_list_char,C_2),B_1))
       => hBOOL(hAPP_f986089162l_bool(hAPP_l1903254203l_bool(member_list_char,C_2),A_2)) )
     => hBOOL(hAPP_f986089162l_bool(hAPP_l1903254203l_bool(member_list_char,C_2),semila919158006r_bool(A_2,B_1))) ),
    file('theBenchmark.p',fact_871_UnCI) ).

fof(fact_872_UnCI,axiom,
    ! [A_2,C_2,B_1] :
      ( ( ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,C_2),B_1))
       => hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,C_2),A_2)) )
     => hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,C_2),semila751111325l_bool(A_2,B_1))) ),
    file('theBenchmark.p',fact_872_UnCI) ).

fof(fact_873_sup1E,axiom,
    ! [A_2,B_1,X_2] :
      ( hBOOL(hAPP_list_char_bool(semila919158006r_bool(A_2,B_1),X_2))
     => ( ~ hBOOL(hAPP_list_char_bool(A_2,X_2))
       => hBOOL(hAPP_list_char_bool(B_1,X_2)) ) ),
    file('theBenchmark.p',fact_873_sup1E) ).

fof(fact_874_sup1CI,axiom,
    ! [A_2,B_1,X_2] :
      ( ( ~ hBOOL(hAPP_list_char_bool(B_1,X_2))
       => hBOOL(hAPP_list_char_bool(A_2,X_2)) )
     => hBOOL(hAPP_list_char_bool(semila919158006r_bool(A_2,B_1),X_2)) ),
    file('theBenchmark.p',fact_874_sup1CI) ).

fof(fact_875_Un__absorb,axiom,
    ! [A_2] : semila919158006r_bool(A_2,A_2) = A_2,
    file('theBenchmark.p',fact_875_Un__absorb) ).

fof(fact_876_Un__def,axiom,
    ! [A_2,B_1] : semila1731249415r_bool(A_2,B_1) = collec1387638140t_char(cOMBS_1743887558l_bool(hAPP_f1985672189l_bool(hAPP_f1169733153l_bool(cOMBB_565990871t_char,fdisj),hAPP_f1853572245r_bool(hAPP_f1933376467r_bool(cOMBC_36589090l_bool,member1601084734t_char),A_2)),hAPP_f1853572245r_bool(hAPP_f1933376467r_bool(cOMBC_36589090l_bool,member1601084734t_char),B_1))),
    file('theBenchmark.p',fact_876_Un__def) ).

fof(fact_877_Un__def,axiom,
    ! [A_2,B_1] : semila1346223580r_bool(A_2,B_1) = collec1583467887t_char(cOMBS_635570165l_bool(hAPP_f561246575l_bool(hAPP_f321462169l_bool(cOMBB_808210516t_char,fdisj),hAPP_f1666729379r_bool(hAPP_f1020753317r_bool(cOMBC_1297648632l_bool,member1467889965t_char),A_2)),hAPP_f1666729379r_bool(hAPP_f1020753317r_bool(cOMBC_1297648632l_bool,member1467889965t_char),B_1))),
    file('theBenchmark.p',fact_877_Un__def) ).

fof(fact_878_Un__def,axiom,
    ! [A_2,B_1] : semila449273525l_bool(A_2,B_1) = collec2087910442on_val(cOMBS_1218320756l_bool(hAPP_f914702973l_bool(hAPP_f1600936353l_bool(cOMBB_1617503877on_val,fdisj),hAPP_f1856968213l_bool(hAPP_f677078775l_bool(cOMBC_475083938l_bool,member875476972on_val),A_2)),hAPP_f1856968213l_bool(hAPP_f677078775l_bool(cOMBC_475083938l_bool,member875476972on_val),B_1))),
    file('theBenchmark.p',fact_878_Un__def) ).

fof(fact_879_Un__def,axiom,
    ! [A_2,B_1] : semila465093516t_bool(A_2,B_1) = collect_nat(cOMBS_nat_bool_bool(hAPP_f1146629647l_bool(hAPP_f1080886329l_bool(cOMBB_1015721476ol_nat,fdisj),hAPP_f800510211t_bool(hAPP_f1722879237t_bool(cOMBC_226598744l_bool,member_nat),A_2)),hAPP_f800510211t_bool(hAPP_f1722879237t_bool(cOMBC_226598744l_bool,member_nat),B_1))),
    file('theBenchmark.p',fact_879_Un__def) ).

fof(fact_880_Un__def,axiom,
    ! [A_2,B_1] : semila1168318597r_bool(A_2,B_1) = collec1797130234t_char(cOMBS_350755140l_bool(hAPP_f644972157l_bool(hAPP_f722872225l_bool(cOMBB_1643767893t_char,fdisj),hAPP_f112056853r_bool(hAPP_f1876889431r_bool(cOMBC_148995234l_bool,member1251428284t_char),A_2)),hAPP_f112056853r_bool(hAPP_f1876889431r_bool(cOMBC_148995234l_bool,member1251428284t_char),B_1))),
    file('theBenchmark.p',fact_880_Un__def) ).

fof(fact_881_Un__def,axiom,
    ! [A_2,B_1] : semila919158006r_bool(A_2,B_1) = collect_list_char(cOMBS_1502238389l_bool(hAPP_f1163760061l_bool(hAPP_f1157863905l_bool(cOMBB_984708934t_char,fdisj),hAPP_f1371002581r_bool(hAPP_f522372661r_bool(cOMBC_892477410l_bool,member_list_char),A_2)),hAPP_f1371002581r_bool(hAPP_f522372661r_bool(cOMBC_892477410l_bool,member_list_char),B_1))),
    file('theBenchmark.p',fact_881_Un__def) ).

fof(fact_882_Un__def,axiom,
    ! [A_2,B_1] : semila751111325l_bool(A_2,B_1) = collec718040978on_val(cOMBS_1319864284l_bool(hAPP_f379976829l_bool(hAPP_f606945057l_bool(cOMBB_705522285on_val,fdisj),hAPP_f2036784149l_bool(hAPP_f1720452391l_bool(cOMBC_1021753250l_bool,member773094996on_val),A_2)),hAPP_f2036784149l_bool(hAPP_f1720452391l_bool(cOMBC_1021753250l_bool,member773094996on_val),B_1))),
    file('theBenchmark.p',fact_882_Un__def) ).

fof(fact_883_Un__commute,axiom,
    ! [A_2,B_1] : semila919158006r_bool(A_2,B_1) = semila919158006r_bool(B_1,A_2),
    file('theBenchmark.p',fact_883_Un__commute) ).

fof(fact_884_fv__fvs_Osimps_I11_J,axiom,
    ! [E_1_1,E_2] : fv(seq_list_char(E_1_1,E_2)) = semila919158006r_bool(fv(E_1_1),fv(E_2)),
    file('theBenchmark.p',fact_884_fv__fvs_Osimps_I11_J) ).

fof(fact_885_eval__cases_I2_J,axiom,
    ! [Pa,Va,S,E_b,S_2] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,hAPP_v834067052t_char(val_list_char,Va),S),E_b),S_2))
     => ~ ( E_b = hAPP_v834067052t_char(val_list_char,Va)
         => S_2 != S ) ),
    file('theBenchmark.p',fact_885_eval__cases_I2_J) ).

fof(fact_886_Val,axiom,
    ! [Pa,Va,S] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,hAPP_v834067052t_char(val_list_char,Va),S),hAPP_v834067052t_char(val_list_char,Va)),S)),
    file('theBenchmark.p',fact_886_Val) ).

fof(fact_887_Red__dom__lcl,axiom,
    ! [Eb,Hb,Lb,E_b,H_b,L_b,Pa] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),L_b)))),red(Pa)))
     => hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(dom_list_char_val(L_b)),semila919158006r_bool(dom_list_char_val(Lb),fv(Eb)))) ),
    file('theBenchmark.p',fact_887_Red__dom__lcl) ).

fof(fact_888_eval__final,axiom,
    ! [Pa,Eb,S,E_b,S_2] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S),E_b),S_2))
     => hBOOL(final_list_char(E_b)) ),
    file('theBenchmark.p',fact_888_eval__final) ).

fof(fact_889_eval__finalId,axiom,
    ! [Pa,S,Eb] :
      ( hBOOL(final_list_char(Eb))
     => hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S),Eb),S)) ),
    file('theBenchmark.p',fact_889_eval__finalId) ).

fof(fact_890_eval__cases_I8_J,axiom,
    ! [Pa,Va_1,Ta,E_1_1,S,E_b,S_2] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,block_list_char(Va_1,Ta,E_1_1),S),E_b),S_2))
     => ~ ! [H_0_1,L_0_1] :
            ( S = hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_0_1),L_0_1)
           => ! [H_1_1,L_1_2] :
                ( S_2 = hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_1_1),fun_up1149430426on_val(L_1_2,Va_1,hAPP_l207779698on_val(L_0_1,Va_1)))
               => ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1_1,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_0_1),fun_up1149430426on_val(L_0_1,Va_1,none_val))),E_b),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_1_1),L_1_2))) ) ) ),
    file('theBenchmark.p',fact_890_eval__cases_I8_J) ).

fof(fact_891_eval__restrict__lcl,axiom,
    ! [W,Eb,Hb,Lb,E_b,H_b,L_b,Pa] :
      ( hBOOL(wf_pro755087577t_char(wwf_J_mdecl,Pa))
     => ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb)),E_b),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),L_b)))
       => ( hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(fv(Eb)),W))
         => hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),restri761823004ar_val(Lb,W))),E_b),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),restri761823004ar_val(L_b,W)))) ) ) ),
    file('theBenchmark.p',fact_891_eval__restrict__lcl) ).

fof(fact_892_FAssRedsVal,axiom,
    ! [F,D,C,Fs,E_2,Va,H_2,L_2,E_1_1,S_0,A,S_1,Pa] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_1_1),S_0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,addr(A))),S_1))),transi2024712006on_val(red(Pa))))
     => ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_2),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,Va)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_2),L_2)))),transi2024712006on_val(red(Pa))))
       => ( hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),Fs)) = hAPP_n546249108on_val(H_2,A)
         => hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAss_list_char(E_1_1,F,D,E_2)),S_0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,unit)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,fun_up2041264236on_val(H_2,A,hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),fun_up204312361on_val(Fs,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,F),D),hAPP_val_option_val(some_val,Va)))))),L_2)))),transi2024712006on_val(red(Pa)))) ) ) ),
    file('theBenchmark.p',fact_892_FAssRedsVal) ).

fof(fact_893_redp__redsp_OFAssRed1,axiom,
    ! [F,D,E_2,Pa,Eb,S,E_b,S_2] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Eb,S),E_b),S_2))
     => hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,fAss_list_char(Eb,F,D,E_2),S),fAss_list_char(E_b,F,D,E_2)),S_2)) ),
    file('theBenchmark.p',fact_893_redp__redsp_OFAssRed1) ).

fof(fact_894_redp__redsp_OFAssRed2,axiom,
    ! [Va,F,D,Pa,Eb,S,E_b,S_2] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Eb,S),E_b),S_2))
     => hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,fAss_list_char(hAPP_v834067052t_char(val_list_char,Va),F,D,Eb),S),fAss_list_char(hAPP_v834067052t_char(val_list_char,Va),F,D,E_b)),S_2)) ),
    file('theBenchmark.p',fact_894_redp__redsp_OFAssRed2) ).

fof(fact_895_fv__fvs_Osimps_I8_J,axiom,
    ! [E_1_1,F,D,E_2] : fv(fAss_list_char(E_1_1,F,D,E_2)) = semila919158006r_bool(fv(E_1_1),fv(E_2)),
    file('theBenchmark.p',fact_895_fv__fvs_Osimps_I8_J) ).

fof(fact_896_red__reds_OFAssRed1,axiom,
    ! [F,D,E_2,Eb,S,E_b,S_2,Pa] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_2))),red(Pa)))
     => hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAss_list_char(Eb,F,D,E_2)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAss_list_char(E_b,F,D,E_2)),S_2))),red(Pa))) ),
    file('theBenchmark.p',fact_896_red__reds_OFAssRed1) ).

fof(fact_897_red__reds_OFAssRed2,axiom,
    ! [Va,F,D,Eb,S,E_b,S_2,Pa] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_2))),red(Pa)))
     => hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAss_list_char(hAPP_v834067052t_char(val_list_char,Va),F,D,Eb)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAss_list_char(hAPP_v834067052t_char(val_list_char,Va),F,D,E_b)),S_2))),red(Pa))) ),
    file('theBenchmark.p',fact_897_red__reds_OFAssRed2) ).

fof(fact_898_FAssReds1,axiom,
    ! [F,D,E_2,Eb,S,E_b,S_2,Pa] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_2))),transi2024712006on_val(red(Pa))))
     => hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAss_list_char(Eb,F,D,E_2)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAss_list_char(E_b,F,D,E_2)),S_2))),transi2024712006on_val(red(Pa)))) ),
    file('theBenchmark.p',fact_898_FAssReds1) ).

fof(fact_899_FAssReds2,axiom,
    ! [Va,F,D,Eb,S,E_b,S_2,Pa] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_2))),transi2024712006on_val(red(Pa))))
     => hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAss_list_char(hAPP_v834067052t_char(val_list_char,Va),F,D,Eb)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAss_list_char(hAPP_v834067052t_char(val_list_char,Va),F,D,E_b)),S_2))),transi2024712006on_val(red(Pa)))) ),
    file('theBenchmark.p',fact_899_FAssReds2) ).

fof(fact_900_FAss,axiom,
    ! [H_2_1,Fs_2,F,D,C,Fs,E_2,Va,H_2,L_2,Pa,E_1_1,S_0,A,S_1] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1_1,S_0),hAPP_v834067052t_char(val_list_char,addr(A))),S_1))
     => ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_2,S_1),hAPP_v834067052t_char(val_list_char,Va)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_2),L_2)))
       => ( hAPP_n546249108on_val(H_2,A) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),Fs))
         => ( Fs_2 = fun_up204312361on_val(Fs,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,F),D),hAPP_val_option_val(some_val,Va))
           => ( H_2_1 = fun_up2041264236on_val(H_2,A,hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),Fs_2)))
             => hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,fAss_list_char(E_1_1,F,D,E_2),S_0),hAPP_v834067052t_char(val_list_char,unit)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_2_1),L_2))) ) ) ) ) ),
    file('theBenchmark.p',fact_900_FAss) ).

fof(fact_901_redp__redsp_ORedFAss,axiom,
    ! [Pa,F,D,Va,Lb,Hb,A,C,Fs] :
      ( hAPP_n546249108on_val(Hb,A) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),Fs))
     => hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,fAss_list_char(hAPP_v834067052t_char(val_list_char,addr(A)),F,D,hAPP_v834067052t_char(val_list_char,Va)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb)),hAPP_v834067052t_char(val_list_char,unit)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,fun_up2041264236on_val(Hb,A,hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),fun_up204312361on_val(Fs,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,F),D),hAPP_val_option_val(some_val,Va)))))),Lb))) ),
    file('theBenchmark.p',fact_901_redp__redsp_ORedFAss) ).

fof(fact_902_red__reds_ORedFAss,axiom,
    ! [F,D,Va,Lb,Pa,Hb,A,C,Fs] :
      ( hAPP_n546249108on_val(Hb,A) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),Fs))
     => hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAss_list_char(hAPP_v834067052t_char(val_list_char,addr(A)),F,D,hAPP_v834067052t_char(val_list_char,Va))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,unit)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,fun_up2041264236on_val(Hb,A,hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),fun_up204312361on_val(Fs,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,F),D),hAPP_val_option_val(some_val,Va)))))),Lb)))),red(Pa))) ),
    file('theBenchmark.p',fact_902_red__reds_ORedFAss) ).

fof(fact_903_FAccRedsVal,axiom,
    ! [F,D,Va,C,Fs,Eb,S,A,S_2,Pa] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,addr(A))),S_2))),transi2024712006on_val(red(Pa))))
     => ( hAPP_n546249108on_val(hp(S_2),A) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),Fs))
       => ( hAPP_P2094403585on_val(Fs,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,F),D)) = hAPP_val_option_val(some_val,Va)
         => hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAcc_list_char(Eb,F,D)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,Va)),S_2))),transi2024712006on_val(red(Pa)))) ) ) ),
    file('theBenchmark.p',fact_903_FAccRedsVal) ).

fof(fact_904_red__reds_ORedFAcc,axiom,
    ! [Pa,F,D,Va,S,A,C,Fs] :
      ( hAPP_n546249108on_val(hp(S),A) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),Fs))
     => ( hAPP_P2094403585on_val(Fs,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,F),D)) = hAPP_val_option_val(some_val,Va)
       => hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAcc_list_char(hAPP_v834067052t_char(val_list_char,addr(A)),F,D)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,Va)),S))),red(Pa))) ) ),
    file('theBenchmark.p',fact_904_red__reds_ORedFAcc) ).

fof(fact_905_redp__redsp_ORedFAcc,axiom,
    ! [Pa,F,D,Va,S,A,C,Fs] :
      ( hAPP_n546249108on_val(hp(S),A) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),Fs))
     => ( hAPP_P2094403585on_val(Fs,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,F),D)) = hAPP_val_option_val(some_val,Va)
       => hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,fAcc_list_char(hAPP_v834067052t_char(val_list_char,addr(A)),F,D),S),hAPP_v834067052t_char(val_list_char,Va)),S)) ) ),
    file('theBenchmark.p',fact_905_redp__redsp_ORedFAcc) ).

fof(fact_906_FAcc,axiom,
    ! [F,D,Va,C,Fs,Pa,Eb,S_0,A,Hb,Lb] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S_0),hAPP_v834067052t_char(val_list_char,addr(A))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb)))
     => ( hAPP_n546249108on_val(Hb,A) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),Fs))
       => ( hAPP_P2094403585on_val(Fs,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,F),D)) = hAPP_val_option_val(some_val,Va)
         => hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,fAcc_list_char(Eb,F,D),S_0),hAPP_v834067052t_char(val_list_char,Va)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb))) ) ) ),
    file('theBenchmark.p',fact_906_FAcc) ).

fof(fact_907_red__reds_OInitBlockThrow,axiom,
    ! [Va_1,Ta,Va,A,S,Pa] : hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,block_list_char(Va_1,Ta,seq_list_char(lAss_list_char(Va_1,hAPP_v834067052t_char(val_list_char,Va)),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A)))))),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A)))),S))),red(Pa))),
    file('theBenchmark.p',fact_907_red__reds_OInitBlockThrow) ).

fof(fact_908_redp__redsp_OFAccThrow,axiom,
    ! [Pa,Eb,F,D,S] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,fAcc_list_char(throw_list_char(Eb),F,D),S),throw_list_char(Eb)),S)),
    file('theBenchmark.p',fact_908_redp__redsp_OFAccThrow) ).

fof(fact_909_eval__evals_OFAccThrow,axiom,
    ! [F,D,Pa,Eb,S_0,E_b,S_1] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S_0),throw_list_char(E_b)),S_1))
     => hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,fAcc_list_char(Eb,F,D),S_0),throw_list_char(E_b)),S_1)) ),
    file('theBenchmark.p',fact_909_eval__evals_OFAccThrow) ).

fof(fact_910_eval__evals_OThrowThrow,axiom,
    ! [Pa,Eb,S_0,E_b,S_1] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S_0),throw_list_char(E_b)),S_1))
     => hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,throw_list_char(Eb),S_0),throw_list_char(E_b)),S_1)) ),
    file('theBenchmark.p',fact_910_eval__evals_OThrowThrow) ).

fof(fact_911_redp__redsp_OThrowThrow,axiom,
    ! [Pa,Eb,S] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,throw_list_char(throw_list_char(Eb)),S),throw_list_char(Eb)),S)),
    file('theBenchmark.p',fact_911_redp__redsp_OThrowThrow) ).

fof(fact_912_redp__redsp_OThrowRed,axiom,
    ! [Pa,Eb,S,E_b,S_2] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Eb,S),E_b),S_2))
     => hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,throw_list_char(Eb),S),throw_list_char(E_b)),S_2)) ),
    file('theBenchmark.p',fact_912_redp__redsp_OThrowRed) ).

fof(fact_913_fv__fvs_Osimps_I14_J,axiom,
    ! [Eb] : fv(throw_list_char(Eb)) = fv(Eb),
    file('theBenchmark.p',fact_913_fv__fvs_Osimps_I14_J) ).

fof(fact_914_redp__redsp_OFAccRed,axiom,
    ! [F,D,Pa,Eb,S,E_b,S_2] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Eb,S),E_b),S_2))
     => hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,fAcc_list_char(Eb,F,D),S),fAcc_list_char(E_b,F,D)),S_2)) ),
    file('theBenchmark.p',fact_914_redp__redsp_OFAccRed) ).

fof(fact_915_fv__fvs_Osimps_I7_J,axiom,
    ! [Eb,F,D] : fv(fAcc_list_char(Eb,F,D)) = fv(Eb),
    file('theBenchmark.p',fact_915_fv__fvs_Osimps_I7_J) ).

fof(fact_916_red__reds_OFAccThrow,axiom,
    ! [Eb,F,D,S,Pa] : hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAcc_list_char(throw_list_char(Eb),F,D)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(Eb)),S))),red(Pa))),
    file('theBenchmark.p',fact_916_red__reds_OFAccThrow) ).

fof(fact_917_FAccRedsThrow,axiom,
    ! [F,D,Eb,S,A,S_2,Pa] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(A)),S_2))),transi2024712006on_val(red(Pa))))
     => hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAcc_list_char(Eb,F,D)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(A)),S_2))),transi2024712006on_val(red(Pa)))) ),
    file('theBenchmark.p',fact_917_FAccRedsThrow) ).

fof(fact_918_eval__evals_OSeqThrow,axiom,
    ! [E_1_1,Pa,E_0,S_0,Eb,S_1] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_0,S_0),throw_list_char(Eb)),S_1))
     => hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,seq_list_char(E_0,E_1_1),S_0),throw_list_char(Eb)),S_1)) ),
    file('theBenchmark.p',fact_918_eval__evals_OSeqThrow) ).

fof(fact_919_eval__evals_OLAssThrow,axiom,
    ! [Va_1,Pa,Eb,S_0,E_b,S_1] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S_0),throw_list_char(E_b)),S_1))
     => hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,lAss_list_char(Va_1,Eb),S_0),throw_list_char(E_b)),S_1)) ),
    file('theBenchmark.p',fact_919_eval__evals_OLAssThrow) ).

fof(fact_920_eval__evals_OFAssThrow1,axiom,
    ! [F,D,E_2,Pa,E_1_1,S_0,E_b,S_1] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1_1,S_0),throw_list_char(E_b)),S_1))
     => hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,fAss_list_char(E_1_1,F,D,E_2),S_0),throw_list_char(E_b)),S_1)) ),
    file('theBenchmark.p',fact_920_eval__evals_OFAssThrow1) ).

fof(fact_921_redp__redsp_OSeqThrow,axiom,
    ! [Pa,Eb,E_2,S] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,seq_list_char(throw_list_char(Eb),E_2),S),throw_list_char(Eb)),S)),
    file('theBenchmark.p',fact_921_redp__redsp_OSeqThrow) ).

fof(fact_922_redp__redsp_OLAssThrow,axiom,
    ! [Pa,Va_1,Eb,S] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,lAss_list_char(Va_1,throw_list_char(Eb)),S),throw_list_char(Eb)),S)),
    file('theBenchmark.p',fact_922_redp__redsp_OLAssThrow) ).

fof(fact_923_redp__redsp_OFAssThrow1,axiom,
    ! [Pa,Eb,F,D,E_2,S] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,fAss_list_char(throw_list_char(Eb),F,D,E_2),S),throw_list_char(Eb)),S)),
    file('theBenchmark.p',fact_923_redp__redsp_OFAssThrow1) ).

fof(fact_924_red__reds_OThrowThrow,axiom,
    ! [Eb,S,Pa] : hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(throw_list_char(Eb))),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(Eb)),S))),red(Pa))),
    file('theBenchmark.p',fact_924_red__reds_OThrowThrow) ).

fof(fact_925_red__reds_OThrowRed,axiom,
    ! [Eb,S,E_b,S_2,Pa] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_2))),red(Pa)))
     => hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(Eb)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(E_b)),S_2))),red(Pa))) ),
    file('theBenchmark.p',fact_925_red__reds_OThrowRed) ).

fof(fact_926_Throw,axiom,
    ! [Pa,Eb,S_0,A,S_1] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S_0),hAPP_v834067052t_char(val_list_char,addr(A))),S_1))
     => hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,throw_list_char(Eb),S_0),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A)))),S_1)) ),
    file('theBenchmark.p',fact_926_Throw) ).

fof(fact_927_eval__evals_OFAssThrow2,axiom,
    ! [F,D,E_2,E_b,S_2_1,Pa,E_1_1,S_0,Va,S_1] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1_1,S_0),hAPP_v834067052t_char(val_list_char,Va)),S_1))
     => ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_2,S_1),throw_list_char(E_b)),S_2_1))
       => hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,fAss_list_char(E_1_1,F,D,E_2),S_0),throw_list_char(E_b)),S_2_1)) ) ),
    file('theBenchmark.p',fact_927_eval__evals_OFAssThrow2) ).

fof(fact_928_red__reds_OFAccRed,axiom,
    ! [F,D,Eb,S,E_b,S_2,Pa] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_2))),red(Pa)))
     => hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAcc_list_char(Eb,F,D)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAcc_list_char(E_b,F,D)),S_2))),red(Pa))) ),
    file('theBenchmark.p',fact_928_red__reds_OFAccRed) ).

fof(fact_929_redp__redsp_OFAssThrow2,axiom,
    ! [Pa,Va,F,D,Eb,S] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,fAss_list_char(hAPP_v834067052t_char(val_list_char,Va),F,D,throw_list_char(Eb)),S),throw_list_char(Eb)),S)),
    file('theBenchmark.p',fact_929_redp__redsp_OFAssThrow2) ).

fof(fact_930_ThrowReds,axiom,
    ! [Eb,S,E_b,S_2,Pa] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_2))),transi2024712006on_val(red(Pa))))
     => hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(Eb)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(E_b)),S_2))),transi2024712006on_val(red(Pa)))) ),
    file('theBenchmark.p',fact_930_ThrowReds) ).

fof(fact_931_ThrowRedsThrow,axiom,
    ! [Eb,S,A,S_2,Pa] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(A)),S_2))),transi2024712006on_val(red(Pa))))
     => hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(Eb)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(A)),S_2))),transi2024712006on_val(red(Pa)))) ),
    file('theBenchmark.p',fact_931_ThrowRedsThrow) ).

fof(fact_932_red__reds_OLAssThrow,axiom,
    ! [Va_1,Eb,S,Pa] : hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,lAss_list_char(Va_1,throw_list_char(Eb))),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(Eb)),S))),red(Pa))),
    file('theBenchmark.p',fact_932_red__reds_OLAssThrow) ).

fof(fact_933_red__reds_OSeqThrow,axiom,
    ! [Eb,E_2,S,Pa] : hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,seq_list_char(throw_list_char(Eb),E_2)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(Eb)),S))),red(Pa))),
    file('theBenchmark.p',fact_933_red__reds_OSeqThrow) ).

fof(fact_934_red__reds_OFAssThrow1,axiom,
    ! [Eb,F,D,E_2,S,Pa] : hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAss_list_char(throw_list_char(Eb),F,D,E_2)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(Eb)),S))),red(Pa))),
    file('theBenchmark.p',fact_934_red__reds_OFAssThrow1) ).

fof(fact_935_redp__redsp_OBlockThrow,axiom,
    ! [Pa,Va_1,Ta,A,S] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,block_list_char(Va_1,Ta,throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A)))),S),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A)))),S)),
    file('theBenchmark.p',fact_935_redp__redsp_OBlockThrow) ).

fof(fact_936_FAccReds,axiom,
    ! [F,D,Eb,S,E_b,S_2,Pa] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_2))),transi2024712006on_val(red(Pa))))
     => hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAcc_list_char(Eb,F,D)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAcc_list_char(E_b,F,D)),S_2))),transi2024712006on_val(red(Pa)))) ),
    file('theBenchmark.p',fact_936_FAccReds) ).

fof(fact_937_red__reds_OFAssThrow2,axiom,
    ! [Va,F,D,Eb,S,Pa] : hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAss_list_char(hAPP_v834067052t_char(val_list_char,Va),F,D,throw_list_char(Eb))),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(Eb)),S))),red(Pa))),
    file('theBenchmark.p',fact_937_red__reds_OFAssThrow2) ).

fof(fact_938_LAssRedsThrow,axiom,
    ! [Va_1,Eb,S,A,S_2,Pa] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(A)),S_2))),transi2024712006on_val(red(Pa))))
     => hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,lAss_list_char(Va_1,Eb)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(A)),S_2))),transi2024712006on_val(red(Pa)))) ),
    file('theBenchmark.p',fact_938_LAssRedsThrow) ).

fof(fact_939_SeqRedsThrow,axiom,
    ! [E_2,Eb,S,E_b,S_2,Pa] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(E_b)),S_2))),transi2024712006on_val(red(Pa))))
     => hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,seq_list_char(Eb,E_2)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(E_b)),S_2))),transi2024712006on_val(red(Pa)))) ),
    file('theBenchmark.p',fact_939_SeqRedsThrow) ).

fof(fact_940_FAssRedsThrow1,axiom,
    ! [F,D,E_2,Eb,S,E_b,S_2,Pa] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(E_b)),S_2))),transi2024712006on_val(red(Pa))))
     => hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAss_list_char(Eb,F,D,E_2)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(E_b)),S_2))),transi2024712006on_val(red(Pa)))) ),
    file('theBenchmark.p',fact_940_FAssRedsThrow1) ).

fof(fact_941_FAssRedsThrow2,axiom,
    ! [F,D,E_2,Eb,S_2_1,E_1_1,S_0,Va,S_1,Pa] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_1_1),S_0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,Va)),S_1))),transi2024712006on_val(red(Pa))))
     => ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_2),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(Eb)),S_2_1))),transi2024712006on_val(red(Pa))))
       => hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAss_list_char(E_1_1,F,D,E_2)),S_0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(Eb)),S_2_1))),transi2024712006on_val(red(Pa)))) ) ),
    file('theBenchmark.p',fact_941_FAssRedsThrow2) ).

fof(fact_942_red__reds_OBlockThrow,axiom,
    ! [Va_1,Ta,A,S,Pa] : hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,block_list_char(Va_1,Ta,throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A))))),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A)))),S))),red(Pa))),
    file('theBenchmark.p',fact_942_red__reds_OBlockThrow) ).

fof(fact_943_redp__redsp_OInitBlockThrow,axiom,
    ! [Pa,Va_1,Ta,Va,A,S] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,block_list_char(Va_1,Ta,seq_list_char(lAss_list_char(Va_1,hAPP_v834067052t_char(val_list_char,Va)),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A))))),S),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A)))),S)),
    file('theBenchmark.p',fact_943_redp__redsp_OInitBlockThrow) ).

fof(fact_944_eval__cases_I4_J,axiom,
    ! [Pa,Va_1,Eb,S,E_b,S_2] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,lAss_list_char(Va_1,Eb),S),E_b),S_2))
     => ( ( E_b = hAPP_v834067052t_char(val_list_char,unit)
         => ! [V_2,H,L_4] :
              ( S_2 = hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H),fun_up1149430426on_val(L_4,Va_1,hAPP_val_option_val(some_val,V_2)))
             => ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S),hAPP_v834067052t_char(val_list_char,V_2)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H),L_4))) ) )
       => ~ ! [E_1] :
              ( E_b = throw_list_char(E_1)
             => ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S),throw_list_char(E_1)),S_2)) ) ) ),
    file('theBenchmark.p',fact_944_eval__cases_I4_J) ).

fof(fact_945_eval__cases_I9_J,axiom,
    ! [Pa,E_1_1,E_2,S,E_b,S_2] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,seq_list_char(E_1_1,E_2),S),E_b),S_2))
     => ( ! [V_2,S_1_1] :
            ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1_1,S),hAPP_v834067052t_char(val_list_char,V_2)),S_1_1))
           => ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_2,S_1_1),E_b),S_2)) )
       => ~ ! [E_4] :
              ( E_b = throw_list_char(E_4)
             => ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1_1,S),throw_list_char(E_4)),S_2)) ) ) ),
    file('theBenchmark.p',fact_945_eval__cases_I9_J) ).

fof(fact_946_val_Osimps_I10_J,axiom,
    ! [Nat_1] : unit != addr(Nat_1),
    file('theBenchmark.p',fact_946_val_Osimps_I10_J) ).

fof(fact_947_val_Osimps_I11_J,axiom,
    ! [Nat_1] : addr(Nat_1) != unit,
    file('theBenchmark.p',fact_947_val_Osimps_I11_J) ).

fof(fact_948_val_Osimps_I3_J,axiom,
    ! [Nat_2,Nat] :
      ( addr(Nat_2) = addr(Nat)
    <=> Nat_2 = Nat ),
    file('theBenchmark.p',fact_948_val_Osimps_I3_J) ).

fof(fact_949_TryCatchRedsFinal,axiom,
    ! [E_2,Va_1,E_2_1,H_2,L_2,C,D,Fs,E_1_1,S_0,A,H_1,L_1_1,Pa] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_1_1),S_0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A)))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_1),L_1_1)))),transi2024712006on_val(red(Pa))))
     => ( hAPP_n546249108on_val(H_1,A) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,D),Fs))
       => ( hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,D),C)),transi1395422419t_char(subcls851966956t_char(Pa))))
         => ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_2),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_1),fun_up1149430426on_val(L_1_1,Va_1,hAPP_val_option_val(some_val,addr(A)))))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_2_1),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_2),L_2)))),transi2024712006on_val(red(Pa))))
           => ( hBOOL(final_list_char(E_2_1))
             => hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,tryCatch_list_char(E_1_1,C,Va_1,E_2)),S_0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_2_1),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_2),fun_up1149430426on_val(L_2,Va_1,hAPP_l207779698on_val(L_1_1,Va_1)))))),transi2024712006on_val(red(Pa)))) ) ) ) ) ),
    file('theBenchmark.p',fact_949_TryCatchRedsFinal) ).

fof(fact_950_WTrtThrow,axiom,
    ! [Ta,Pa,Hb,Ea,Eb,T_r] :
      ( hBOOL(wTrt_1(Pa,Hb,Ea,Eb,T_r))
     => ( hBOOL(is_refT(T_r))
       => hBOOL(wTrt_1(Pa,Hb,Ea,throw_list_char(Eb),Ta)) ) ),
    file('theBenchmark.p',fact_950_WTrtThrow) ).

fof(fact_951_BinOpRedsThrow2,axiom,
    ! [Bop,E_2,Eb,S_2_1,E_1_1,S_0,V_1_2,S_1,Pa] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_1_1),S_0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,V_1_2)),S_1))),transi2024712006on_val(red(Pa))))
     => ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_2),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(Eb)),S_2_1))),transi2024712006on_val(red(Pa))))
       => hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,binOp_list_char(E_1_1,Bop,E_2)),S_0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(Eb)),S_2_1))),transi2024712006on_val(red(Pa)))) ) ),
    file('theBenchmark.p',fact_951_BinOpRedsThrow2) ).

fof(fact_952_TryRedsFail,axiom,
    ! [Va_1,E_2,C,D,Fs,E_1_1,S,A,Hb,Lb,Pa] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_1_1),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A)))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb)))),transi2024712006on_val(red(Pa))))
     => ( hAPP_n546249108on_val(Hb,A) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,D),Fs))
       => ( ~ hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,D),C)),transi1395422419t_char(subcls851966956t_char(Pa))))
         => hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,tryCatch_list_char(E_1_1,C,Va_1,E_2)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A)))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb)))),transi2024712006on_val(red(Pa)))) ) ) ),
    file('theBenchmark.p',fact_952_TryRedsFail) ).

fof(fact_953_redp__redsp_OBinOpRed1,axiom,
    ! [Bop,E_2,Pa,Eb,S,E_b,S_2] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Eb,S),E_b),S_2))
     => hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,binOp_list_char(Eb,Bop,E_2),S),binOp_list_char(E_b,Bop,E_2)),S_2)) ),
    file('theBenchmark.p',fact_953_redp__redsp_OBinOpRed1) ).

fof(fact_954_redp__redsp_OTryRed,axiom,
    ! [C,Va_1,E_2,Pa,Eb,S,E_b,S_2] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Eb,S),E_b),S_2))
     => hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,tryCatch_list_char(Eb,C,Va_1,E_2),S),tryCatch_list_char(E_b,C,Va_1,E_2)),S_2)) ),
    file('theBenchmark.p',fact_954_redp__redsp_OTryRed) ).

fof(fact_955_eval__evals_OBinOpThrow1,axiom,
    ! [Bop,E_2,Pa,E_1_1,S_0,Eb,S_1] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1_1,S_0),throw_list_char(Eb)),S_1))
     => hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,binOp_list_char(E_1_1,Bop,E_2),S_0),throw_list_char(Eb)),S_1)) ),
    file('theBenchmark.p',fact_955_eval__evals_OBinOpThrow1) ).

fof(fact_956_redp__redsp_OBinOpRed2,axiom,
    ! [V_1_2,Bop,Pa,Eb,S,E_b,S_2] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Eb,S),E_b),S_2))
     => hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,binOp_list_char(hAPP_v834067052t_char(val_list_char,V_1_2),Bop,Eb),S),binOp_list_char(hAPP_v834067052t_char(val_list_char,V_1_2),Bop,E_b)),S_2)) ),
    file('theBenchmark.p',fact_956_redp__redsp_OBinOpRed2) ).

fof(fact_957_redp__redsp_OBinOpThrow1,axiom,
    ! [Pa,Eb,Bop,E_2,S] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,binOp_list_char(throw_list_char(Eb),Bop,E_2),S),throw_list_char(Eb)),S)),
    file('theBenchmark.p',fact_957_redp__redsp_OBinOpThrow1) ).

fof(fact_958_Try,axiom,
    ! [C,Va_1,E_2,Pa,E_1_1,S_0,V_1_2,S_1] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1_1,S_0),hAPP_v834067052t_char(val_list_char,V_1_2)),S_1))
     => hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,tryCatch_list_char(E_1_1,C,Va_1,E_2),S_0),hAPP_v834067052t_char(val_list_char,V_1_2)),S_1)) ),
    file('theBenchmark.p',fact_958_Try) ).

fof(fact_959_redp__redsp_ORedTry,axiom,
    ! [Pa,Va,C,Va_1,E_2,S] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,tryCatch_list_char(hAPP_v834067052t_char(val_list_char,Va),C,Va_1,E_2),S),hAPP_v834067052t_char(val_list_char,Va)),S)),
    file('theBenchmark.p',fact_959_redp__redsp_ORedTry) ).

fof(fact_960_fv__fvs_Osimps_I4_J,axiom,
    ! [E_1_1,Bop,E_2] : fv(binOp_list_char(E_1_1,Bop,E_2)) = semila919158006r_bool(fv(E_1_1),fv(E_2)),
    file('theBenchmark.p',fact_960_fv__fvs_Osimps_I4_J) ).

fof(fact_961_red__reds_OBinOpRed1,axiom,
    ! [Bop,E_2,Eb,S,E_b,S_2,Pa] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_2))),red(Pa)))
     => hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,binOp_list_char(Eb,Bop,E_2)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,binOp_list_char(E_b,Bop,E_2)),S_2))),red(Pa))) ),
    file('theBenchmark.p',fact_961_red__reds_OBinOpRed1) ).

fof(fact_962_eval__evals_OBinOpThrow2,axiom,
    ! [Bop,E_2,Eb,S_2_1,Pa,E_1_1,S_0,V_1_2,S_1] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1_1,S_0),hAPP_v834067052t_char(val_list_char,V_1_2)),S_1))
     => ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_2,S_1),throw_list_char(Eb)),S_2_1))
       => hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,binOp_list_char(E_1_1,Bop,E_2),S_0),throw_list_char(Eb)),S_2_1)) ) ),
    file('theBenchmark.p',fact_962_eval__evals_OBinOpThrow2) ).

fof(fact_963_redp__redsp_OBinOpThrow2,axiom,
    ! [Pa,V_1_2,Bop,Eb,S] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,binOp_list_char(hAPP_v834067052t_char(val_list_char,V_1_2),Bop,throw_list_char(Eb)),S),throw_list_char(Eb)),S)),
    file('theBenchmark.p',fact_963_redp__redsp_OBinOpThrow2) ).

fof(fact_964_red__reds_OTryRed,axiom,
    ! [C,Va_1,E_2,Eb,S,E_b,S_2,Pa] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_2))),red(Pa)))
     => hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,tryCatch_list_char(Eb,C,Va_1,E_2)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,tryCatch_list_char(E_b,C,Va_1,E_2)),S_2))),red(Pa))) ),
    file('theBenchmark.p',fact_964_red__reds_OTryRed) ).

fof(fact_965_red__reds_OBinOpRed2,axiom,
    ! [V_1_2,Bop,Eb,S,E_b,S_2,Pa] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_2))),red(Pa)))
     => hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,binOp_list_char(hAPP_v834067052t_char(val_list_char,V_1_2),Bop,Eb)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,binOp_list_char(hAPP_v834067052t_char(val_list_char,V_1_2),Bop,E_b)),S_2))),red(Pa))) ),
    file('theBenchmark.p',fact_965_red__reds_OBinOpRed2) ).

fof(fact_966_red__reds_OBinOpThrow1,axiom,
    ! [Eb,Bop,E_2,S,Pa] : hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,binOp_list_char(throw_list_char(Eb),Bop,E_2)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(Eb)),S))),red(Pa))),
    file('theBenchmark.p',fact_966_red__reds_OBinOpThrow1) ).

fof(fact_967_BinOp1Reds,axiom,
    ! [Bop,E_2,Eb,S,E_b,S_2,Pa] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_2))),transi2024712006on_val(red(Pa))))
     => hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,binOp_list_char(Eb,Bop,E_2)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,binOp_list_char(E_b,Bop,E_2)),S_2))),transi2024712006on_val(red(Pa)))) ),
    file('theBenchmark.p',fact_967_BinOp1Reds) ).

fof(fact_968_red__reds_ORedTry,axiom,
    ! [Va,C,Va_1,E_2,S,Pa] : hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,tryCatch_list_char(hAPP_v834067052t_char(val_list_char,Va),C,Va_1,E_2)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,Va)),S))),red(Pa))),
    file('theBenchmark.p',fact_968_red__reds_ORedTry) ).

fof(fact_969_TryReds,axiom,
    ! [C,Va_1,E_2,Eb,S,E_b,S_2,Pa] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_2))),transi2024712006on_val(red(Pa))))
     => hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,tryCatch_list_char(Eb,C,Va_1,E_2)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,tryCatch_list_char(E_b,C,Va_1,E_2)),S_2))),transi2024712006on_val(red(Pa)))) ),
    file('theBenchmark.p',fact_969_TryReds) ).

fof(fact_970_TryThrow,axiom,
    ! [Va_1,E_2,C,D,Fs,Pa,E_1_1,S_0,A,H_1,L_1_1] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1_1,S_0),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A)))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_1),L_1_1)))
     => ( hAPP_n546249108on_val(H_1,A) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,D),Fs))
       => ( ~ hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,D),C)),transi1395422419t_char(subcls851966956t_char(Pa))))
         => hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,tryCatch_list_char(E_1_1,C,Va_1,E_2),S_0),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A)))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_1),L_1_1))) ) ) ),
    file('theBenchmark.p',fact_970_TryThrow) ).

fof(fact_971_red__reds_OBinOpThrow2,axiom,
    ! [V_1_2,Bop,Eb,S,Pa] : hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,binOp_list_char(hAPP_v834067052t_char(val_list_char,V_1_2),Bop,throw_list_char(Eb))),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(Eb)),S))),red(Pa))),
    file('theBenchmark.p',fact_971_red__reds_OBinOpThrow2) ).

fof(fact_972_BinOp2Reds,axiom,
    ! [Va,Bop,Eb,S,E_b,S_2,Pa] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_2))),transi2024712006on_val(red(Pa))))
     => hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,binOp_list_char(hAPP_v834067052t_char(val_list_char,Va),Bop,Eb)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,binOp_list_char(hAPP_v834067052t_char(val_list_char,Va),Bop,E_b)),S_2))),transi2024712006on_val(red(Pa)))) ),
    file('theBenchmark.p',fact_972_BinOp2Reds) ).

fof(fact_973_BinOpRedsThrow1,axiom,
    ! [Bop,E_2,Eb,S,E_b,S_2,Pa] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(E_b)),S_2))),transi2024712006on_val(red(Pa))))
     => hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,binOp_list_char(Eb,Bop,E_2)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(E_b)),S_2))),transi2024712006on_val(red(Pa)))) ),
    file('theBenchmark.p',fact_973_BinOpRedsThrow1) ).

fof(fact_974_TryRedsVal,axiom,
    ! [C,Va_1,E_2,Eb,S,Va,S_2,Pa] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,Va)),S_2))),transi2024712006on_val(red(Pa))))
     => hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,tryCatch_list_char(Eb,C,Va_1,E_2)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,Va)),S_2))),transi2024712006on_val(red(Pa)))) ),
    file('theBenchmark.p',fact_974_TryRedsVal) ).

fof(fact_975_red__reds_ORedTryFail,axiom,
    ! [Va_1,E_2,C,Pa,S,A,D,Fs] :
      ( hAPP_n546249108on_val(hp(S),A) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,D),Fs))
     => ( ~ hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,D),C)),transi1395422419t_char(subcls851966956t_char(Pa))))
       => hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,tryCatch_list_char(throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A))),C,Va_1,E_2)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A)))),S))),red(Pa))) ) ),
    file('theBenchmark.p',fact_975_red__reds_ORedTryFail) ).

fof(fact_976_TryCatch,axiom,
    ! [E_2,Va_1,E_2_1,H_2,L_2,C,D,Fs,Pa,E_1_1,S_0,A,H_1,L_1_1] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1_1,S_0),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A)))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_1),L_1_1)))
     => ( hAPP_n546249108on_val(H_1,A) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,D),Fs))
       => ( hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,D),C)),transi1395422419t_char(subcls851966956t_char(Pa))))
         => ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_2,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_1),fun_up1149430426on_val(L_1_1,Va_1,hAPP_val_option_val(some_val,addr(A))))),E_2_1),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_2),L_2)))
           => hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,tryCatch_list_char(E_1_1,C,Va_1,E_2),S_0),E_2_1),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_2),fun_up1149430426on_val(L_2,Va_1,hAPP_l207779698on_val(L_1_1,Va_1))))) ) ) ) ),
    file('theBenchmark.p',fact_976_TryCatch) ).

fof(fact_977_WTrt__elim__cases_I4_J,axiom,
    ! [Pa,Hb,Ea,Eb,Ta] :
      ( hBOOL(wTrt_1(Pa,Hb,Ea,throw_list_char(Eb),Ta))
     => ~ ! [T_r_1] :
            ( hBOOL(wTrt_1(Pa,Hb,Ea,Eb,T_r_1))
           => ~ hBOOL(is_refT(T_r_1)) ) ),
    file('theBenchmark.p',fact_977_WTrt__elim__cases_I4_J) ).

fof(fact_978_preallocated__new,axiom,
    ! [X_2,A,Hb] :
      ( hBOOL(preallocated(Hb))
     => ( hAPP_n546249108on_val(Hb,A) = none_P179726773on_val
       => hBOOL(preallocated(fun_up2041264236on_val(Hb,A,hAPP_P1510515380on_val(some_P948696889on_val,X_2)))) ) ),
    file('theBenchmark.p',fact_978_preallocated__new) ).

fof(fact_979_red__reds_ORedTryCatch,axiom,
    ! [Va_1,E_2,C,Pa,S,A,D,Fs] :
      ( hAPP_n546249108on_val(hp(S),A) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,D),Fs))
     => ( hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,D),C)),transi1395422419t_char(subcls851966956t_char(Pa))))
       => hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,tryCatch_list_char(throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A))),C,Va_1,E_2)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,block_list_char(Va_1,hAPP_list_char_ty(class,C),seq_list_char(lAss_list_char(Va_1,hAPP_v834067052t_char(val_list_char,addr(A))),E_2))),S))),red(Pa))) ) ),
    file('theBenchmark.p',fact_979_red__reds_ORedTryCatch) ).

fof(fact_980_preallocated__upd__obj,axiom,
    ! [Fs_2,A,C,Fs,Hb] :
      ( hBOOL(preallocated(Hb))
     => ( hAPP_n546249108on_val(Hb,A) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),Fs))
       => hBOOL(preallocated(fun_up2041264236on_val(Hb,A,hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),Fs_2))))) ) ),
    file('theBenchmark.p',fact_980_preallocated__upd__obj) ).

fof(fact_981_CastRedsAddr,axiom,
    ! [C,D,Fs,Eb,S,A,S_2,Pa] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,addr(A))),S_2))),transi2024712006on_val(red(Pa))))
     => ( hAPP_n546249108on_val(hp(S_2),A) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,D),Fs))
       => ( hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,D),C)),transi1395422419t_char(subcls851966956t_char(Pa))))
         => hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cast_list_char(C,Eb)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,addr(A))),S_2))),transi2024712006on_val(red(Pa)))) ) ) ),
    file('theBenchmark.p',fact_981_CastRedsAddr) ).

fof(fact_982_WTrtTry,axiom,
    ! [Va_1,C,E_2,T_2_2,Pa,Hb,Ea,E_1_1,T_1_1] :
      ( hBOOL(wTrt_1(Pa,Hb,Ea,E_1_1,T_1_1))
     => ( hBOOL(wTrt_1(Pa,Hb,fun_up424764369ion_ty(Ea,Va_1,hAPP_ty_option_ty(some_ty,hAPP_list_char_ty(class,C))),E_2,T_2_2))
       => ( hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(Pa),T_1_1),T_2_2))
         => hBOOL(wTrt_1(Pa,Hb,Ea,tryCatch_list_char(E_1_1,C,Va_1,E_2),T_2_2)) ) ) ),
    file('theBenchmark.p',fact_982_WTrtTry) ).

fof(fact_983_redp__redsp_OCastRed,axiom,
    ! [C,Pa,Eb,S,E_b,S_2] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Eb,S),E_b),S_2))
     => hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,cast_list_char(C,Eb),S),cast_list_char(C,E_b)),S_2)) ),
    file('theBenchmark.p',fact_983_redp__redsp_OCastRed) ).

fof(fact_984_fv__fvs_Osimps_I2_J,axiom,
    ! [C,Eb] : fv(cast_list_char(C,Eb)) = fv(Eb),
    file('theBenchmark.p',fact_984_fv__fvs_Osimps_I2_J) ).

fof(fact_985_eval__evals_OCastThrow,axiom,
    ! [C,Pa,Eb,S_0,E_b,S_1] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S_0),throw_list_char(E_b)),S_1))
     => hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,cast_list_char(C,Eb),S_0),throw_list_char(E_b)),S_1)) ),
    file('theBenchmark.p',fact_985_eval__evals_OCastThrow) ).

fof(fact_986_redp__redsp_OCastThrow,axiom,
    ! [Pa,C,Eb,S] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,cast_list_char(C,throw_list_char(Eb)),S),throw_list_char(Eb)),S)),
    file('theBenchmark.p',fact_986_redp__redsp_OCastThrow) ).

fof(fact_987_WTrtFAcc,axiom,
    ! [F,Ta,D,Pa,Hb,Ea,Eb,C] :
      ( hBOOL(wTrt_1(Pa,Hb,Ea,Eb,hAPP_list_char_ty(class,C)))
     => ( hBOOL(hAPP_list_char_bool(has_fi1183600461t_char(Pa,C,F,Ta),D))
       => hBOOL(wTrt_1(Pa,Hb,Ea,fAcc_list_char(Eb,F,D),Ta)) ) ),
    file('theBenchmark.p',fact_987_WTrtFAcc) ).

fof(fact_988_red__reds_OCastRed,axiom,
    ! [C,Eb,S,E_b,S_2,Pa] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_2))),red(Pa)))
     => hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cast_list_char(C,Eb)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cast_list_char(C,E_b)),S_2))),red(Pa))) ),
    file('theBenchmark.p',fact_988_red__reds_OCastRed) ).

fof(fact_989_red__reds_OCastThrow,axiom,
    ! [C,Eb,S,Pa] : hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cast_list_char(C,throw_list_char(Eb))),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(Eb)),S))),red(Pa))),
    file('theBenchmark.p',fact_989_red__reds_OCastThrow) ).

fof(fact_990_CastReds,axiom,
    ! [C,Eb,S,E_b,S_2,Pa] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_2))),transi2024712006on_val(red(Pa))))
     => hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cast_list_char(C,Eb)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cast_list_char(C,E_b)),S_2))),transi2024712006on_val(red(Pa)))) ),
    file('theBenchmark.p',fact_990_CastReds) ).

fof(fact_991_WTrtFAss,axiom,
    ! [E_2,T_2_2,F,Ta,D,Pa,Hb,Ea,E_1_1,C] :
      ( hBOOL(wTrt_1(Pa,Hb,Ea,E_1_1,hAPP_list_char_ty(class,C)))
     => ( hBOOL(hAPP_list_char_bool(has_fi1183600461t_char(Pa,C,F,Ta),D))
       => ( hBOOL(wTrt_1(Pa,Hb,Ea,E_2,T_2_2))
         => ( hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(Pa),T_2_2),Ta))
           => hBOOL(wTrt_1(Pa,Hb,Ea,fAss_list_char(E_1_1,F,D,E_2),void)) ) ) ) ),
    file('theBenchmark.p',fact_991_WTrtFAss) ).

fof(fact_992_CastRedsThrow,axiom,
    ! [C,Eb,S,A,S_2,Pa] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(A)),S_2))),transi2024712006on_val(red(Pa))))
     => hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cast_list_char(C,Eb)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(A)),S_2))),transi2024712006on_val(red(Pa)))) ),
    file('theBenchmark.p',fact_992_CastRedsThrow) ).

fof(fact_993_preallocated__hext,axiom,
    ! [H_b,Hb] :
      ( hBOOL(preallocated(Hb))
     => ( hBOOL(hext(Hb,H_b))
       => hBOOL(preallocated(H_b)) ) ),
    file('theBenchmark.p',fact_993_preallocated__hext) ).

fof(fact_994_Cast,axiom,
    ! [C,D,Fs,Pa,Eb,S_0,A,Hb,Lb] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S_0),hAPP_v834067052t_char(val_list_char,addr(A))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb)))
     => ( hAPP_n546249108on_val(Hb,A) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,D),Fs))
       => ( hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,D),C)),transi1395422419t_char(subcls851966956t_char(Pa))))
         => hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,cast_list_char(C,Eb),S_0),hAPP_v834067052t_char(val_list_char,addr(A))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb))) ) ) ),
    file('theBenchmark.p',fact_994_Cast) ).

fof(fact_995_red__reds_ORedCast,axiom,
    ! [C,Pa,S,A,D,Fs] :
      ( hAPP_n546249108on_val(hp(S),A) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,D),Fs))
     => ( hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,D),C)),transi1395422419t_char(subcls851966956t_char(Pa))))
       => hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cast_list_char(C,hAPP_v834067052t_char(val_list_char,addr(A)))),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,addr(A))),S))),red(Pa))) ) ),
    file('theBenchmark.p',fact_995_red__reds_ORedCast) ).

fof(fact_996_WTrt__elim__cases_I5_J,axiom,
    ! [Pa,Hb,Ea,E_1_1,C,Va_1,E_2,Ta] :
      ( hBOOL(wTrt_1(Pa,Hb,Ea,tryCatch_list_char(E_1_1,C,Va_1,E_2),Ta))
     => ~ ! [T_1_2] :
            ( hBOOL(wTrt_1(Pa,Hb,Ea,E_1_1,T_1_2))
           => ( hBOOL(wTrt_1(Pa,Hb,fun_up424764369ion_ty(Ea,Va_1,hAPP_ty_option_ty(some_ty,hAPP_list_char_ty(class,C))),E_2,Ta))
             => ~ hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(Pa),T_1_2),Ta)) ) ) ),
    file('theBenchmark.p',fact_996_WTrt__elim__cases_I5_J) ).

fof(fact_997_final__addrE,axiom,
    ! [Pa,Hb,Ea,Eb,C] :
      ( hBOOL(wTrt_1(Pa,Hb,Ea,Eb,hAPP_list_char_ty(class,C)))
     => ( hBOOL(final_list_char(Eb))
       => ( ! [A_1] : Eb != hAPP_v834067052t_char(val_list_char,addr(A_1))
         => ~ ! [A_1] : Eb != throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A_1))) ) ) ),
    file('theBenchmark.p',fact_997_final__addrE) ).

fof(fact_998_BinOpRedsVal,axiom,
    ! [Bop,Va,E_2,V_2_1,S_2_1,E_1_1,S_0,V_1_2,S_1,Pa] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_1_1),S_0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,V_1_2)),S_1))),transi2024712006on_val(red(Pa))))
     => ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_2),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,V_2_1)),S_2_1))),transi2024712006on_val(red(Pa))))
       => ( binop(hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,Bop),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,V_1_2),V_2_1))) = hAPP_val_option_val(some_val,Va)
         => hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,binOp_list_char(E_1_1,Bop,E_2)),S_0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,Va)),S_2_1))),transi2024712006on_val(red(Pa)))) ) ) ),
    file('theBenchmark.p',fact_998_BinOpRedsVal) ).

fof(fact_999_CastRedsFail,axiom,
    ! [C,D,Fs,Eb,S,A,S_2,Pa] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,addr(A))),S_2))),transi2024712006on_val(red(Pa))))
     => ( hAPP_n546249108on_val(hp(S_2),A) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,D),Fs))
       => ( ~ hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,D),C)),transi1395422419t_char(subcls851966956t_char(Pa))))
         => hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cast_list_char(C,Eb)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(classCast))))),S_2))),transi2024712006on_val(red(Pa)))) ) ) ),
    file('theBenchmark.p',fact_999_CastRedsFail) ).

fof(fact_1000_BinOp,axiom,
    ! [Bop,Va,E_2,V_2_1,S_2_1,Pa,E_1_1,S_0,V_1_2,S_1] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1_1,S_0),hAPP_v834067052t_char(val_list_char,V_1_2)),S_1))
     => ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_2,S_1),hAPP_v834067052t_char(val_list_char,V_2_1)),S_2_1))
       => ( binop(hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,Bop),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,V_1_2),V_2_1))) = hAPP_val_option_val(some_val,Va)
         => hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,binOp_list_char(E_1_1,Bop,E_2),S_0),hAPP_v834067052t_char(val_list_char,Va)),S_2_1)) ) ) ),
    file('theBenchmark.p',fact_1000_BinOp) ).

fof(fact_1001_redp__redsp_ORedBinOp,axiom,
    ! [Pa,S,Bop,V_1_2,V_2_1,Va] :
      ( binop(hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,Bop),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,V_1_2),V_2_1))) = hAPP_val_option_val(some_val,Va)
     => hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,binOp_list_char(hAPP_v834067052t_char(val_list_char,V_1_2),Bop,hAPP_v834067052t_char(val_list_char,V_2_1)),S),hAPP_v834067052t_char(val_list_char,Va)),S)) ),
    file('theBenchmark.p',fact_1001_redp__redsp_ORedBinOp) ).

fof(fact_1002_CastFail,axiom,
    ! [C,D,Fs,Pa,Eb,S_0,A,Hb,Lb] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S_0),hAPP_v834067052t_char(val_list_char,addr(A))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb)))
     => ( hAPP_n546249108on_val(Hb,A) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,D),Fs))
       => ( ~ hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,D),C)),transi1395422419t_char(subcls851966956t_char(Pa))))
         => hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,cast_list_char(C,Eb),S_0),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(classCast))))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb))) ) ) ),
    file('theBenchmark.p',fact_1002_CastFail) ).

fof(fact_1003_red__reds_ORedCastFail,axiom,
    ! [C,Pa,S,A,D,Fs] :
      ( hAPP_n546249108on_val(hp(S),A) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,D),Fs))
     => ( ~ hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,D),C)),transi1395422419t_char(subcls851966956t_char(Pa))))
       => hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cast_list_char(C,hAPP_v834067052t_char(val_list_char,addr(A)))),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(classCast))))),S))),red(Pa))) ) ),
    file('theBenchmark.p',fact_1003_red__reds_ORedCastFail) ).

fof(fact_1004_red__reds_ORedBinOp,axiom,
    ! [S,Pa,Bop,V_1_2,V_2_1,Va] :
      ( binop(hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,Bop),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,V_1_2),V_2_1))) = hAPP_val_option_val(some_val,Va)
     => hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,binOp_list_char(hAPP_v834067052t_char(val_list_char,V_1_2),Bop,hAPP_v834067052t_char(val_list_char,V_2_1))),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,Va)),S))),red(Pa))) ),
    file('theBenchmark.p',fact_1004_red__reds_ORedBinOp) ).

fof(fact_1005_eval__cases_I3_J,axiom,
    ! [Pa,E_1_1,Bop,E_2,S,E_b,S_2] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,binOp_list_char(E_1_1,Bop,E_2),S),E_b),S_2))
     => ( ! [V_1_1,S_1_1,V_2_3,V_2] :
            ( E_b = hAPP_v834067052t_char(val_list_char,V_2)
           => ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1_1,S),hAPP_v834067052t_char(val_list_char,V_1_1)),S_1_1))
             => ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_2,S_1_1),hAPP_v834067052t_char(val_list_char,V_2_3)),S_2))
               => binop(hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,Bop),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,V_1_1),V_2_3))) != hAPP_val_option_val(some_val,V_2) ) ) )
       => ( ! [E_4] :
              ( E_b = throw_list_char(E_4)
             => ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1_1,S),throw_list_char(E_4)),S_2)) )
         => ~ ! [V_1_1,S_1_1,E_4] :
                ( E_b = throw_list_char(E_4)
               => ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1_1,S),hAPP_v834067052t_char(val_list_char,V_1_1)),S_1_1))
                 => ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_2,S_1_1),throw_list_char(E_4)),S_2)) ) ) ) ) ),
    file('theBenchmark.p',fact_1005_eval__cases_I3_J) ).

fof(fact_1006_binop_Osimps_I7_J,axiom,
    ! [V_1_3] : binop(hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,add),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,V_1_3),unit))) = none_val,
    file('theBenchmark.p',fact_1006_binop_Osimps_I7_J) ).

fof(fact_1007_binop_Osimps_I3_J,axiom,
    ! [V_2_2] : binop(hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,add),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,unit),V_2_2))) = none_val,
    file('theBenchmark.p',fact_1007_binop_Osimps_I3_J) ).

fof(fact_1008_typeof__ClassCast,axiom,
    ! [Hb] :
      ( hBOOL(preallocated(Hb))
     => hAPP_val_option_ty(typeof_h(Hb),addr(addr_of_sys_xcpt(classCast))) = hAPP_ty_option_ty(some_ty,hAPP_list_char_ty(class,classCast)) ),
    file('theBenchmark.p',fact_1008_typeof__ClassCast) ).

fof(fact_1009_WTrtVal,axiom,
    ! [Pa,Ea,Hb,Va,Ta] :
      ( hAPP_val_option_ty(typeof_h(Hb),Va) = hAPP_ty_option_ty(some_ty,Ta)
     => hBOOL(wTrt_1(Pa,Hb,Ea,hAPP_v834067052t_char(val_list_char,Va),Ta)) ),
    file('theBenchmark.p',fact_1009_WTrtVal) ).

fof(fact_1010_hext__typeof__mono,axiom,
    ! [Va,Ta,Hb,H_b] :
      ( hBOOL(hext(Hb,H_b))
     => ( hAPP_val_option_ty(typeof_h(Hb),Va) = hAPP_ty_option_ty(some_ty,Ta)
       => hAPP_val_option_ty(typeof_h(H_b),Va) = hAPP_ty_option_ty(some_ty,Ta) ) ),
    file('theBenchmark.p',fact_1010_hext__typeof__mono) ).

fof(fact_1011_typeof__lit__typeof,axiom,
    ! [Hb,Va,Ta] :
      ( hAPP_val_option_ty(typeof_h(hAPP_o1576581476on_val(cOMBK_1944287343al_nat,none_P179726773on_val)),Va) = hAPP_ty_option_ty(some_ty,Ta)
     => hAPP_val_option_ty(typeof_h(Hb),Va) = hAPP_ty_option_ty(some_ty,Ta) ),
    file('theBenchmark.p',fact_1011_typeof__lit__typeof) ).

fof(fact_1012_typeof__h_Osimps_I1_J,axiom,
    ! [Hb] : hAPP_val_option_ty(typeof_h(Hb),unit) = hAPP_ty_option_ty(some_ty,void),
    file('theBenchmark.p',fact_1012_typeof__h_Osimps_I1_J) ).

fof(fact_1013_binop_Osimps_I6_J,axiom,
    ! [V,V_2_2] : binop(hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,add),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,addr(V)),V_2_2))) = none_val,
    file('theBenchmark.p',fact_1013_binop_Osimps_I6_J) ).

fof(fact_1014_binop_Osimps_I10_J,axiom,
    ! [V_1_3,V] : binop(hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,add),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,V_1_3),addr(V)))) = none_val,
    file('theBenchmark.p',fact_1014_binop_Osimps_I10_J) ).

fof(fact_1015_typeof__OutOfMemory,axiom,
    ! [Hb] :
      ( hBOOL(preallocated(Hb))
     => hAPP_val_option_ty(typeof_h(Hb),addr(addr_of_sys_xcpt(outOfMemory))) = hAPP_ty_option_ty(some_ty,hAPP_list_char_ty(class,outOfMemory)) ),
    file('theBenchmark.p',fact_1015_typeof__OutOfMemory) ).

fof(fact_1016_typeof__NullPointer,axiom,
    ! [Hb] :
      ( hBOOL(preallocated(Hb))
     => hAPP_val_option_ty(typeof_h(Hb),addr(addr_of_sys_xcpt(nullPointer))) = hAPP_ty_option_ty(some_ty,hAPP_list_char_ty(class,nullPointer)) ),
    file('theBenchmark.p',fact_1016_typeof__NullPointer) ).

fof(fact_1017_typeof__h_Osimps_I5_J,axiom,
    ! [Hb,A] : hAPP_val_option_ty(typeof_h(Hb),addr(A)) = option1388193227on_val(none_ty,hAPP_f46308763ion_ty(produc907433735ion_ty,hAPP_f451501457ion_ty(hAPP_f509342689ion_ty(cOMBB_352765746t_char,cOMBK_184479553on_val),hAPP_f359949478ion_ty(hAPP_f1243585741ion_ty(cOMBB_1888336841t_char,some_ty),class))),hAPP_n546249108on_val(Hb,A)),
    file('theBenchmark.p',fact_1017_typeof__h_Osimps_I5_J) ).

fof(fact_1018_WTrt_H__WTrts_H_Ointros_I16_J,axiom,
    ! [Ea,Va_1,E_2,T_2_2,Pa,Ta,Hb,Va,T_1_1] :
      ( hAPP_val_option_ty(typeof_h(Hb),Va) = hAPP_ty_option_ty(some_ty,T_1_1)
     => ( hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(Pa),T_1_1),Ta))
       => ( hBOOL(wTrt(Pa,Hb,fun_up424764369ion_ty(Ea,Va_1,hAPP_ty_option_ty(some_ty,Ta)),E_2,T_2_2))
         => hBOOL(wTrt(Pa,Hb,Ea,block_list_char(Va_1,Ta,seq_list_char(lAss_list_char(Va_1,hAPP_v834067052t_char(val_list_char,Va)),E_2)),T_2_2)) ) ) ),
    file('theBenchmark.p',fact_1018_WTrt_H__WTrts_H_Ointros_I16_J) ).

fof(fact_1019_WTrt_H__WTrts_H_Ointros_I3_J,axiom,
    ! [Pa,Ea,Hb,Va,Ta] :
      ( hAPP_val_option_ty(typeof_h(Hb),Va) = hAPP_ty_option_ty(some_ty,Ta)
     => hBOOL(wTrt(Pa,Hb,Ea,hAPP_v834067052t_char(val_list_char,Va),Ta)) ),
    file('theBenchmark.p',fact_1019_WTrt_H__WTrts_H_Ointros_I3_J) ).

fof(fact_1020_WTrt_H__WTrts_H_Ointros_I18_J,axiom,
    ! [E_2,T_2_2,Pa,Hb,Ea,E_1_1,T_1_1] :
      ( hBOOL(wTrt(Pa,Hb,Ea,E_1_1,T_1_1))
     => ( hBOOL(wTrt(Pa,Hb,Ea,E_2,T_2_2))
       => hBOOL(wTrt(Pa,Hb,Ea,seq_list_char(E_1_1,E_2),T_2_2)) ) ),
    file('theBenchmark.p',fact_1020_WTrt_H__WTrts_H_Ointros_I18_J) ).

fof(fact_1021_wt__wt_H,axiom,
    ! [Pa,Hb,Ea,Eb,Ta] :
      ( hBOOL(wTrt_1(Pa,Hb,Ea,Eb,Ta))
     => hBOOL(wTrt(Pa,Hb,Ea,Eb,Ta)) ),
    file('theBenchmark.p',fact_1021_wt__wt_H) ).

fof(fact_1022_wt_H__wt,axiom,
    ! [Pa,Hb,Ea,Eb,Ta] :
      ( hBOOL(wTrt(Pa,Hb,Ea,Eb,Ta))
     => hBOOL(wTrt_1(Pa,Hb,Ea,Eb,Ta)) ),
    file('theBenchmark.p',fact_1022_wt_H__wt) ).

fof(fact_1023_wt_H__iff__wt,axiom,
    ! [Pa,Hb,Ea,Eb,Ta] :
      ( hBOOL(wTrt(Pa,Hb,Ea,Eb,Ta))
    <=> hBOOL(wTrt_1(Pa,Hb,Ea,Eb,Ta)) ),
    file('theBenchmark.p',fact_1023_wt_H__iff__wt) ).

fof(fact_1024_WTrt_H__WTrts_H_Ointros_I21_J,axiom,
    ! [Ta,Pa,Hb,Ea,Eb,T_r] :
      ( hBOOL(wTrt(Pa,Hb,Ea,Eb,T_r))
     => ( hBOOL(is_refT(T_r))
       => hBOOL(wTrt(Pa,Hb,Ea,throw_list_char(Eb),Ta)) ) ),
    file('theBenchmark.p',fact_1024_WTrt_H__WTrts_H_Ointros_I21_J) ).

fof(fact_1025_WTrt_H__WTrts_H_Ointros_I8_J,axiom,
    ! [F,Ta,D,Pa,Hb,Ea,Eb,C] :
      ( hBOOL(wTrt(Pa,Hb,Ea,Eb,hAPP_list_char_ty(class,C)))
     => ( hBOOL(hAPP_list_char_bool(has_fi1183600461t_char(Pa,C,F,Ta),D))
       => hBOOL(wTrt(Pa,Hb,Ea,fAcc_list_char(Eb,F,D),Ta)) ) ),
    file('theBenchmark.p',fact_1025_WTrt_H__WTrts_H_Ointros_I8_J) ).

fof(fact_1026_WTrt_H__WTrts_H_Ointros_I17_J,axiom,
    ! [Pa,Hb,Ea,Va_1,Ta,Eb,T_a] :
      ( hBOOL(wTrt(Pa,Hb,fun_up424764369ion_ty(Ea,Va_1,hAPP_ty_option_ty(some_ty,Ta)),Eb,T_a))
     => ( ~ hBOOL(assigned(Va_1,Eb))
       => hBOOL(wTrt(Pa,Hb,Ea,block_list_char(Va_1,Ta,Eb),T_a)) ) ),
    file('theBenchmark.p',fact_1026_WTrt_H__WTrts_H_Ointros_I17_J) ).

fof(fact_1027_WTrt_H__WTrts_H_Ointros_I22_J,axiom,
    ! [Va_1,C,E_2,T_2_2,Pa,Hb,Ea,E_1_1,T_1_1] :
      ( hBOOL(wTrt(Pa,Hb,Ea,E_1_1,T_1_1))
     => ( hBOOL(wTrt(Pa,Hb,fun_up424764369ion_ty(Ea,Va_1,hAPP_ty_option_ty(some_ty,hAPP_list_char_ty(class,C))),E_2,T_2_2))
       => ( hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(Pa),T_1_1),T_2_2))
         => hBOOL(wTrt(Pa,Hb,Ea,tryCatch_list_char(E_1_1,C,Va_1,E_2),T_2_2)) ) ) ),
    file('theBenchmark.p',fact_1027_WTrt_H__WTrts_H_Ointros_I22_J) ).

fof(fact_1028_WTrt_H__WTrts_H_Ointros_I10_J,axiom,
    ! [E_2,T_2_2,F,Ta,D,Pa,Hb,Ea,E_1_1,C] :
      ( hBOOL(wTrt(Pa,Hb,Ea,E_1_1,hAPP_list_char_ty(class,C)))
     => ( hBOOL(hAPP_list_char_bool(has_fi1183600461t_char(Pa,C,F,Ta),D))
       => ( hBOOL(wTrt(Pa,Hb,Ea,E_2,T_2_2))
         => ( hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(Pa),T_2_2),Ta))
           => hBOOL(wTrt(Pa,Hb,Ea,fAss_list_char(E_1_1,F,D,E_2),void)) ) ) ) ),
    file('theBenchmark.p',fact_1028_WTrt_H__WTrts_H_Ointros_I10_J) ).

fof(fact_1029_FAccRedsNull,axiom,
    ! [F,D,Eb,S,S_2,Pa] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,null)),S_2))),transi2024712006on_val(red(Pa))))
     => hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAcc_list_char(Eb,F,D)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer))))),S_2))),transi2024712006on_val(red(Pa)))) ),
    file('theBenchmark.p',fact_1029_FAccRedsNull) ).

fof(fact_1030_FAssRedsNull,axiom,
    ! [F,D,E_2,Va,S_2_1,E_1_1,S_0,S_1,Pa] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_1_1),S_0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,null)),S_1))),transi2024712006on_val(red(Pa))))
     => ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_2),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,Va)),S_2_1))),transi2024712006on_val(red(Pa))))
       => hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAss_list_char(E_1_1,F,D,E_2)),S_0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer))))),S_2_1))),transi2024712006on_val(red(Pa)))) ) ),
    file('theBenchmark.p',fact_1030_FAssRedsNull) ).

fof(fact_1031_red__reds_ORedFAccNull,axiom,
    ! [F,D,S,Pa] : hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAcc_list_char(hAPP_v834067052t_char(val_list_char,null),F,D)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer))))),S))),red(Pa))),
    file('theBenchmark.p',fact_1031_red__reds_ORedFAccNull) ).

fof(fact_1032_val_Osimps_I5_J,axiom,
    null != unit,
    file('theBenchmark.p',fact_1032_val_Osimps_I5_J) ).

fof(fact_1033_val_Osimps_I4_J,axiom,
    unit != null,
    file('theBenchmark.p',fact_1033_val_Osimps_I4_J) ).

fof(fact_1034_val_Osimps_I16_J,axiom,
    ! [Nat_1] : null != addr(Nat_1),
    file('theBenchmark.p',fact_1034_val_Osimps_I16_J) ).

fof(fact_1035_val_Osimps_I17_J,axiom,
    ! [Nat_1] : addr(Nat_1) != null,
    file('theBenchmark.p',fact_1035_val_Osimps_I17_J) ).

fof(fact_1036_CastNull,axiom,
    ! [C,Pa,Eb,S_0,S_1] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S_0),hAPP_v834067052t_char(val_list_char,null)),S_1))
     => hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,cast_list_char(C,Eb),S_0),hAPP_v834067052t_char(val_list_char,null)),S_1)) ),
    file('theBenchmark.p',fact_1036_CastNull) ).

fof(fact_1037_redp__redsp_ORedCastNull,axiom,
    ! [Pa,C,S] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,cast_list_char(C,hAPP_v834067052t_char(val_list_char,null)),S),hAPP_v834067052t_char(val_list_char,null)),S)),
    file('theBenchmark.p',fact_1037_redp__redsp_ORedCastNull) ).

fof(fact_1038_red__reds_ORedCastNull,axiom,
    ! [C,S,Pa] : hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cast_list_char(C,hAPP_v834067052t_char(val_list_char,null))),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,null)),S))),red(Pa))),
    file('theBenchmark.p',fact_1038_red__reds_ORedCastNull) ).

fof(fact_1039_CastRedsNull,axiom,
    ! [C,Eb,S,S_2,Pa] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,null)),S_2))),transi2024712006on_val(red(Pa))))
     => hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cast_list_char(C,Eb)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,null)),S_2))),transi2024712006on_val(red(Pa)))) ),
    file('theBenchmark.p',fact_1039_CastRedsNull) ).

fof(fact_1040_binop_Osimps_I8_J,axiom,
    ! [V_1_3] : binop(hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,add),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,V_1_3),null))) = none_val,
    file('theBenchmark.p',fact_1040_binop_Osimps_I8_J) ).

fof(fact_1041_binop_Osimps_I4_J,axiom,
    ! [V_2_2] : binop(hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,add),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,null),V_2_2))) = none_val,
    file('theBenchmark.p',fact_1041_binop_Osimps_I4_J) ).

fof(fact_1042_ThrowNull,axiom,
    ! [Pa,Eb,S_0,S_1] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S_0),hAPP_v834067052t_char(val_list_char,null)),S_1))
     => hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,throw_list_char(Eb),S_0),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer))))),S_1)) ),
    file('theBenchmark.p',fact_1042_ThrowNull) ).

fof(fact_1043_redp__redsp_ORedThrowNull,axiom,
    ! [Pa,S] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,throw_list_char(hAPP_v834067052t_char(val_list_char,null)),S),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer))))),S)),
    file('theBenchmark.p',fact_1043_redp__redsp_ORedThrowNull) ).

fof(fact_1044_FAssNull,axiom,
    ! [F,D,E_2,Va,S_2_1,Pa,E_1_1,S_0,S_1] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1_1,S_0),hAPP_v834067052t_char(val_list_char,null)),S_1))
     => ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_2,S_1),hAPP_v834067052t_char(val_list_char,Va)),S_2_1))
       => hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,fAss_list_char(E_1_1,F,D,E_2),S_0),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer))))),S_2_1)) ) ),
    file('theBenchmark.p',fact_1044_FAssNull) ).

fof(fact_1045_FAccNull,axiom,
    ! [F,D,Pa,Eb,S_0,S_1] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S_0),hAPP_v834067052t_char(val_list_char,null)),S_1))
     => hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,fAcc_list_char(Eb,F,D),S_0),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer))))),S_1)) ),
    file('theBenchmark.p',fact_1045_FAccNull) ).

fof(fact_1046_redp__redsp_ORedFAssNull,axiom,
    ! [Pa,F,D,Va,S] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,fAss_list_char(hAPP_v834067052t_char(val_list_char,null),F,D,hAPP_v834067052t_char(val_list_char,Va)),S),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer))))),S)),
    file('theBenchmark.p',fact_1046_redp__redsp_ORedFAssNull) ).

fof(fact_1047_redp__redsp_ORedFAccNull,axiom,
    ! [Pa,F,D,S] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,fAcc_list_char(hAPP_v834067052t_char(val_list_char,null),F,D),S),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer))))),S)),
    file('theBenchmark.p',fact_1047_redp__redsp_ORedFAccNull) ).

fof(fact_1048_red__reds_ORedThrowNull,axiom,
    ! [S,Pa] : hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(hAPP_v834067052t_char(val_list_char,null))),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer))))),S))),red(Pa))),
    file('theBenchmark.p',fact_1048_red__reds_ORedThrowNull) ).

fof(fact_1049_ThrowRedsNull,axiom,
    ! [Eb,S,S_2,Pa] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,null)),S_2))),transi2024712006on_val(red(Pa))))
     => hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(Eb)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer))))),S_2))),transi2024712006on_val(red(Pa)))) ),
    file('theBenchmark.p',fact_1049_ThrowRedsNull) ).

fof(fact_1050_red__reds_ORedFAssNull,axiom,
    ! [F,D,Va,S,Pa] : hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAss_list_char(hAPP_v834067052t_char(val_list_char,null),F,D,hAPP_v834067052t_char(val_list_char,Va))),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer))))),S))),red(Pa))),
    file('theBenchmark.p',fact_1050_red__reds_ORedFAssNull) ).

fof(fact_1051_finalRefE,axiom,
    ! [Pa,Hb,Ea,Eb,Ta] :
      ( hBOOL(wTrt_1(Pa,Hb,Ea,Eb,Ta))
     => ( hBOOL(is_refT(Ta))
       => ( hBOOL(final_list_char(Eb))
         => ( Eb != hAPP_v834067052t_char(val_list_char,null)
           => ( ( ? [A_1] : Eb = hAPP_v834067052t_char(val_list_char,addr(A_1))
               => ! [C_1] : Ta != hAPP_list_char_ty(class,C_1) )
             => ~ ! [A_1] : Eb != throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A_1))) ) ) ) ) ),
    file('theBenchmark.p',fact_1051_finalRefE) ).

fof(fact_1052_eval__cases_I12_J,axiom,
    ! [Pa,Eb,S,E_b,S_2] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,throw_list_char(Eb),S),E_b),S_2))
     => ( ! [A_1] :
            ( E_b = throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A_1)))
           => ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S),hAPP_v834067052t_char(val_list_char,addr(A_1))),S_2)) )
       => ( ( E_b = throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer))))
           => ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S),hAPP_v834067052t_char(val_list_char,null)),S_2)) )
         => ~ ! [E_1] :
                ( E_b = throw_list_char(E_1)
               => ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S),throw_list_char(E_1)),S_2)) ) ) ) ),
    file('theBenchmark.p',fact_1052_eval__cases_I12_J) ).

fof(fact_1053_redp__redsp_ORedTryCatch,axiom,
    ! [Va_1,E_2,Pa,C,S,A,D,Fs] :
      ( hAPP_n546249108on_val(hp(S),A) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,D),Fs))
     => ( hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(transi1065307915t_char(subcls744239332t_char(Pa)),D),C))
       => hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,tryCatch_list_char(throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A))),C,Va_1,E_2),S),block_list_char(Va_1,hAPP_list_char_ty(class,C),seq_list_char(lAss_list_char(Va_1,hAPP_v834067052t_char(val_list_char,addr(A))),E_2))),S)) ) ),
    file('theBenchmark.p',fact_1053_redp__redsp_ORedTryCatch) ).

fof(fact_1054_redp__redsp_ORedCast,axiom,
    ! [Pa,C,S,A,D,Fs] :
      ( hAPP_n546249108on_val(hp(S),A) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,D),Fs))
     => ( hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(transi1065307915t_char(subcls744239332t_char(Pa)),D),C))
       => hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,cast_list_char(C,hAPP_v834067052t_char(val_list_char,addr(A))),S),hAPP_v834067052t_char(val_list_char,addr(A))),S)) ) ),
    file('theBenchmark.p',fact_1054_redp__redsp_ORedCast) ).

fof(fact_1055_redp__redsp_ORedTryFail,axiom,
    ! [Va_1,E_2,Pa,C,S,A,D,Fs] :
      ( hAPP_n546249108on_val(hp(S),A) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,D),Fs))
     => ( ~ hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(transi1065307915t_char(subcls744239332t_char(Pa)),D),C))
       => hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,tryCatch_list_char(throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A))),C,Va_1,E_2),S),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A)))),S)) ) ),
    file('theBenchmark.p',fact_1055_redp__redsp_ORedTryFail) ).

fof(fact_1056_redp__redsp_ORedCastFail,axiom,
    ! [Pa,C,S,A,D,Fs] :
      ( hAPP_n546249108on_val(hp(S),A) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,D),Fs))
     => ( ~ hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(transi1065307915t_char(subcls744239332t_char(Pa)),D),C))
       => hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,cast_list_char(C,hAPP_v834067052t_char(val_list_char,addr(A))),S),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(classCast))))),S)) ) ),
    file('theBenchmark.p',fact_1056_redp__redsp_ORedCastFail) ).

fof(fact_1057_WTrtCast,axiom,
    ! [C,Pa,Hb,Ea,Eb,Ta] :
      ( hBOOL(wTrt_1(Pa,Hb,Ea,Eb,Ta))
     => ( hBOOL(is_refT(Ta))
       => ( hBOOL(hAPP_list_char_bool(is_cla570604648t_char(Pa),C))
         => hBOOL(wTrt_1(Pa,Hb,Ea,cast_list_char(C,Eb),hAPP_list_char_ty(class,C))) ) ) ),
    file('theBenchmark.p',fact_1057_WTrtCast) ).

fof(fact_1058_ty_Osimps_I9_J,axiom,
    ! [List] : hAPP_list_char_ty(class,List) != void,
    file('theBenchmark.p',fact_1058_ty_Osimps_I9_J) ).

fof(fact_1059_ty_Osimps_I8_J,axiom,
    ! [List] : void != hAPP_list_char_ty(class,List),
    file('theBenchmark.p',fact_1059_ty_Osimps_I8_J) ).

fof(fact_1060_ty_Oinject,axiom,
    ! [List_2,List_1] :
      ( hAPP_list_char_ty(class,List_2) = hAPP_list_char_ty(class,List_1)
    <=> List_2 = List_1 ),
    file('theBenchmark.p',fact_1060_ty_Oinject) ).

fof(fact_1061_WTrt_H__WTrts_H_Ointros_I2_J,axiom,
    ! [C,Pa,Hb,Ea,Eb,Ta] :
      ( hBOOL(wTrt(Pa,Hb,Ea,Eb,Ta))
     => ( hBOOL(is_refT(Ta))
       => ( hBOOL(hAPP_list_char_bool(is_cla570604648t_char(Pa),C))
         => hBOOL(wTrt(Pa,Hb,Ea,cast_list_char(C,Eb),hAPP_list_char_ty(class,C))) ) ) ),
    file('theBenchmark.p',fact_1061_WTrt_H__WTrts_H_Ointros_I2_J) ).

fof(fact_1062_WTrt__elim__cases_I6_J,axiom,
    ! [Pa,Hb,Ea,D,Eb,Ta] :
      ( hBOOL(wTrt_1(Pa,Hb,Ea,cast_list_char(D,Eb),Ta))
     => ~ ( Ta = hAPP_list_char_ty(class,D)
         => ! [T_4] :
              ( hBOOL(wTrt_1(Pa,Hb,Ea,Eb,T_4))
             => ( hBOOL(is_refT(T_4))
               => ~ hBOOL(hAPP_list_char_bool(is_cla570604648t_char(Pa),D)) ) ) ) ),
    file('theBenchmark.p',fact_1062_WTrt__elim__cases_I6_J) ).

fof(fact_1063_sys__xcpts__cases,axiom,
    ! [Pa,C] :
      ( hBOOL(hAPP_f986089162l_bool(hAPP_l1903254203l_bool(member_list_char,C),sys_xcpts))
     => ( hBOOL(hAPP_list_char_bool(Pa,nullPointer))
       => ( hBOOL(hAPP_list_char_bool(Pa,outOfMemory))
         => ( hBOOL(hAPP_list_char_bool(Pa,classCast))
           => hBOOL(hAPP_list_char_bool(Pa,C)) ) ) ) ),
    file('theBenchmark.p',fact_1063_sys__xcpts__cases) ).

fof(fact_1064_binop_Osimps_I9_J,axiom,
    ! [V_1_2,Va] : binop(hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,add),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,V_1_2),bool(Va)))) = none_val,
    file('theBenchmark.p',fact_1064_binop_Osimps_I9_J) ).

fof(fact_1065_val_Osimps_I21_J,axiom,
    ! [Nat,Bool_1] : addr(Nat) != bool(Bool_1),
    file('theBenchmark.p',fact_1065_val_Osimps_I21_J) ).

fof(fact_1066_val_Osimps_I20_J,axiom,
    ! [Bool_1,Nat] : bool(Bool_1) != addr(Nat),
    file('theBenchmark.p',fact_1066_val_Osimps_I20_J) ).

fof(fact_1067_val_Osimps_I1_J,axiom,
    ! [Bool_1,Bool] :
      ( bool(Bool_1) = bool(Bool)
    <=> ( hBOOL(Bool_1)
      <=> hBOOL(Bool) ) ),
    file('theBenchmark.p',fact_1067_val_Osimps_I1_J) ).

fof(fact_1068_val_Osimps_I6_J,axiom,
    ! [Bool] : unit != bool(Bool),
    file('theBenchmark.p',fact_1068_val_Osimps_I6_J) ).

fof(fact_1069_val_Osimps_I7_J,axiom,
    ! [Bool] : bool(Bool) != unit,
    file('theBenchmark.p',fact_1069_val_Osimps_I7_J) ).

fof(fact_1070_val_Osimps_I12_J,axiom,
    ! [Bool] : null != bool(Bool),
    file('theBenchmark.p',fact_1070_val_Osimps_I12_J) ).

fof(fact_1071_val_Osimps_I13_J,axiom,
    ! [Bool] : bool(Bool) != null,
    file('theBenchmark.p',fact_1071_val_Osimps_I13_J) ).

fof(fact_1072_preallocated__dom,axiom,
    ! [C,Hb] :
      ( hBOOL(preallocated(Hb))
     => ( hBOOL(hAPP_f986089162l_bool(hAPP_l1903254203l_bool(member_list_char,C),sys_xcpts))
       => hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,addr_of_sys_xcpt(C)),dom_na996029170on_val(Hb))) ) ),
    file('theBenchmark.p',fact_1072_preallocated__dom) ).

fof(fact_1073_binop_Osimps_I5_J,axiom,
    ! [Va,V_2_1] : binop(hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,add),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,bool(Va)),V_2_1))) = none_val,
    file('theBenchmark.p',fact_1073_binop_Osimps_I5_J) ).

fof(fact_1074_preallocatedE,axiom,
    ! [Pa,C,Hb] :
      ( hBOOL(preallocated(Hb))
     => ( hBOOL(hAPP_f986089162l_bool(hAPP_l1903254203l_bool(member_list_char,C),sys_xcpts))
       => ( ! [Fs_1] :
              ( hAPP_n546249108on_val(Hb,addr_of_sys_xcpt(C)) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),Fs_1))
             => hBOOL(hAPP_list_char_bool(hAPP_f388705405r_bool(Pa,Hb),C)) )
         => hBOOL(hAPP_list_char_bool(hAPP_f388705405r_bool(Pa,Hb),C)) ) ) ),
    file('theBenchmark.p',fact_1074_preallocatedE) ).

fof(fact_1075_preallocatedD,axiom,
    ! [C,Hb] :
      ( hBOOL(preallocated(Hb))
     => ( hBOOL(hAPP_f986089162l_bool(hAPP_l1903254203l_bool(member_list_char,C),sys_xcpts))
       => ? [Fs_1] : hAPP_n546249108on_val(Hb,addr_of_sys_xcpt(C)) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),Fs_1)) ) ),
    file('theBenchmark.p',fact_1075_preallocatedD) ).

fof(fact_1076_preallocated__def,axiom,
    ! [Hb] :
      ( hBOOL(preallocated(Hb))
    <=> ! [X_1] :
          ( hBOOL(hAPP_f986089162l_bool(hAPP_l1903254203l_bool(member_list_char,X_1),sys_xcpts))
         => ? [Fs_1] : hAPP_n546249108on_val(Hb,addr_of_sys_xcpt(X_1)) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,X_1),Fs_1)) ) ),
    file('theBenchmark.p',fact_1076_preallocated__def) ).

fof(fact_1077_binop_Osimps_I1_J,axiom,
    ! [V_1_2,V_2_1] : binop(hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,c_Expr_Obop_OEq),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,V_1_2),V_2_1))) = hAPP_val_option_val(some_val,bool(hAPP_val_bool(hAPP_v1392248405l_bool(fequal_val,V_1_2),V_2_1))),
    file('theBenchmark.p',fact_1077_binop_Osimps_I1_J) ).

fof(fact_1078_WhileFReds,axiom,
    ! [C_2,B,S,S_2,Pa] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,B),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,bool(fFalse))),S_2))),transi2024712006on_val(red(Pa))))
     => hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,while_list_char(B,C_2)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,unit)),S_2))),transi2024712006on_val(red(Pa)))) ),
    file('theBenchmark.p',fact_1078_WhileFReds) ).

fof(fact_1079_WhileCondThrow,axiom,
    ! [C_2,Pa,Eb,S_0,E_b,S_1] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S_0),throw_list_char(E_b)),S_1))
     => hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,while_list_char(Eb,C_2),S_0),throw_list_char(E_b)),S_1)) ),
    file('theBenchmark.p',fact_1079_WhileCondThrow) ).

fof(fact_1080_bop_Oexhaust,axiom,
    ! [Y] :
      ( is_bop(Y)
     => ( Y != c_Expr_Obop_OEq
       => Y = add ) ),
    file('theBenchmark.p',fact_1080_bop_Oexhaust) ).

fof(fact_1081_bop_Osimps_I2_J,axiom,
    add != c_Expr_Obop_OEq,
    file('theBenchmark.p',fact_1081_bop_Osimps_I2_J) ).

fof(fact_1082_bop_Osimps_I1_J,axiom,
    c_Expr_Obop_OEq != add,
    file('theBenchmark.p',fact_1082_bop_Osimps_I1_J) ).

fof(fact_1083_fv__fvs_Osimps_I13_J,axiom,
    ! [B,Eb] : fv(while_list_char(B,Eb)) = semila919158006r_bool(fv(B),fv(Eb)),
    file('theBenchmark.p',fact_1083_fv__fvs_Osimps_I13_J) ).

fof(fact_1084_WhileT,axiom,
    ! [E_3,S_3_1,C_2,V_1_2,S_2_1,Pa,Eb,S_0,S_1] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S_0),hAPP_v834067052t_char(val_list_char,bool(fTrue))),S_1))
     => ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,C_2,S_1),hAPP_v834067052t_char(val_list_char,V_1_2)),S_2_1))
       => ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,while_list_char(Eb,C_2),S_2_1),E_3),S_3_1))
         => hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,while_list_char(Eb,C_2),S_0),E_3),S_3_1)) ) ) ),
    file('theBenchmark.p',fact_1084_WhileT) ).

fof(fact_1085_WhileBodyThrow,axiom,
    ! [C_2,E_b,S_2_1,Pa,Eb,S_0,S_1] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S_0),hAPP_v834067052t_char(val_list_char,bool(fTrue))),S_1))
     => ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,C_2,S_1),throw_list_char(E_b)),S_2_1))
       => hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,while_list_char(Eb,C_2),S_0),throw_list_char(E_b)),S_2_1)) ) ),
    file('theBenchmark.p',fact_1085_WhileBodyThrow) ).

fof(fact_1086_WhileF,axiom,
    ! [C_2,Pa,Eb,S_0,S_1] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S_0),hAPP_v834067052t_char(val_list_char,bool(fFalse))),S_1))
     => hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,while_list_char(Eb,C_2),S_0),hAPP_v834067052t_char(val_list_char,unit)),S_1)) ),
    file('theBenchmark.p',fact_1086_WhileF) ).

fof(fact_1087_WhileRedsThrow,axiom,
    ! [C_2,B,S,Eb,S_2,Pa] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,B),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(Eb)),S_2))),transi2024712006on_val(red(Pa))))
     => hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,while_list_char(B,C_2)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(Eb)),S_2))),transi2024712006on_val(red(Pa)))) ),
    file('theBenchmark.p',fact_1087_WhileRedsThrow) ).

fof(fact_1088_WhileTReds,axiom,
    ! [Eb,S_3_1,C_2,V_1_2,S_2_1,B,S_0,S_1,Pa] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,B),S_0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,bool(fTrue))),S_1))),transi2024712006on_val(red(Pa))))
     => ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,C_2),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,V_1_2)),S_2_1))),transi2024712006on_val(red(Pa))))
       => ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,while_list_char(B,C_2)),S_2_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S_3_1))),transi2024712006on_val(red(Pa))))
         => hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,while_list_char(B,C_2)),S_0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S_3_1))),transi2024712006on_val(red(Pa)))) ) ) ),
    file('theBenchmark.p',fact_1088_WhileTReds) ).

fof(fact_1089_WhileTRedsThrow,axiom,
    ! [C_2,Eb,S_2_1,B,S_0,S_1,Pa] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,B),S_0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,bool(fTrue))),S_1))),transi2024712006on_val(red(Pa))))
     => ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,C_2),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(Eb)),S_2_1))),transi2024712006on_val(red(Pa))))
       => hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,while_list_char(B,C_2)),S_0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(Eb)),S_2_1))),transi2024712006on_val(red(Pa)))) ) ),
    file('theBenchmark.p',fact_1089_WhileTRedsThrow) ).

fof(fact_1090_eval__cases_I11_J,axiom,
    ! [Pa,B,C_2,S,E_b,S_2] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,while_list_char(B,C_2),S),E_b),S_2))
     => ( ( E_b = hAPP_v834067052t_char(val_list_char,unit)
         => ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,B,S),hAPP_v834067052t_char(val_list_char,bool(fFalse))),S_2)) )
       => ( ! [S_1_1] :
              ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,B,S),hAPP_v834067052t_char(val_list_char,bool(fTrue))),S_1_1))
             => ! [V_1_1,S_2_2] :
                  ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,C_2,S_1_1),hAPP_v834067052t_char(val_list_char,V_1_1)),S_2_2))
                 => ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,while_list_char(B,C_2),S_2_2),E_b),S_2)) ) )
         => ( ! [E_1] :
                ( E_b = throw_list_char(E_1)
               => ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,B,S),throw_list_char(E_1)),S_2)) )
           => ~ ! [S_1_1,E_1] :
                  ( E_b = throw_list_char(E_1)
                 => ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,B,S),hAPP_v834067052t_char(val_list_char,bool(fTrue))),S_1_1))
                   => ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,C_2,S_1_1),throw_list_char(E_1)),S_2)) ) ) ) ) ) ),
    file('theBenchmark.p',fact_1090_eval__cases_I11_J) ).

fof(fact_1091_red__reds_ORedWhile,axiom,
    ! [B,C_2,S,Pa] : hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,while_list_char(B,C_2)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cond_list_char(B,seq_list_char(C_2,while_list_char(B,C_2)),hAPP_v834067052t_char(val_list_char,unit))),S))),red(Pa))),
    file('theBenchmark.p',fact_1091_red__reds_ORedWhile) ).

fof(fact_1092_redp__redsp_OCondRed,axiom,
    ! [E_1_1,E_2,Pa,Eb,S,E_b,S_2] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Eb,S),E_b),S_2))
     => hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,cond_list_char(Eb,E_1_1,E_2),S),cond_list_char(E_b,E_1_1,E_2)),S_2)) ),
    file('theBenchmark.p',fact_1092_redp__redsp_OCondRed) ).

fof(fact_1093_eval__evals_OCondThrow,axiom,
    ! [E_1_1,E_2,Pa,Eb,S_0,E_b,S_1] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S_0),throw_list_char(E_b)),S_1))
     => hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,cond_list_char(Eb,E_1_1,E_2),S_0),throw_list_char(E_b)),S_1)) ),
    file('theBenchmark.p',fact_1093_eval__evals_OCondThrow) ).

fof(fact_1094_redp__redsp_OCondThrow,axiom,
    ! [Pa,Eb,E_1_1,E_2,S] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,cond_list_char(throw_list_char(Eb),E_1_1,E_2),S),throw_list_char(Eb)),S)),
    file('theBenchmark.p',fact_1094_redp__redsp_OCondThrow) ).

fof(fact_1095_fv__fvs_Osimps_I12_J,axiom,
    ! [B,E_1_1,E_2] : fv(cond_list_char(B,E_1_1,E_2)) = semila919158006r_bool(semila919158006r_bool(fv(B),fv(E_1_1)),fv(E_2)),
    file('theBenchmark.p',fact_1095_fv__fvs_Osimps_I12_J) ).

fof(fact_1096_red__reds_OCondRed,axiom,
    ! [E_1_1,E_2,Eb,S,E_b,S_2,Pa] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_2))),red(Pa)))
     => hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cond_list_char(Eb,E_1_1,E_2)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cond_list_char(E_b,E_1_1,E_2)),S_2))),red(Pa))) ),
    file('theBenchmark.p',fact_1096_red__reds_OCondRed) ).

fof(fact_1097_CondF,axiom,
    ! [E_1_1,E_2,E_b,S_2_1,Pa,Eb,S_0,S_1] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S_0),hAPP_v834067052t_char(val_list_char,bool(fFalse))),S_1))
     => ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_2,S_1),E_b),S_2_1))
       => hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,cond_list_char(Eb,E_1_1,E_2),S_0),E_b),S_2_1)) ) ),
    file('theBenchmark.p',fact_1097_CondF) ).

fof(fact_1098_CondT,axiom,
    ! [E_2,E_1_1,E_b,S_2_1,Pa,Eb,S_0,S_1] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S_0),hAPP_v834067052t_char(val_list_char,bool(fTrue))),S_1))
     => ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1_1,S_1),E_b),S_2_1))
       => hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,cond_list_char(Eb,E_1_1,E_2),S_0),E_b),S_2_1)) ) ),
    file('theBenchmark.p',fact_1098_CondT) ).

fof(fact_1099_redp__redsp_ORedCondF,axiom,
    ! [Pa,E_1_1,E_2,S] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,cond_list_char(hAPP_v834067052t_char(val_list_char,bool(fFalse)),E_1_1,E_2),S),E_2),S)),
    file('theBenchmark.p',fact_1099_redp__redsp_ORedCondF) ).

fof(fact_1100_redp__redsp_ORedCondT,axiom,
    ! [Pa,E_1_1,E_2,S] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,cond_list_char(hAPP_v834067052t_char(val_list_char,bool(fTrue)),E_1_1,E_2),S),E_1_1),S)),
    file('theBenchmark.p',fact_1100_redp__redsp_ORedCondT) ).

fof(fact_1101_red__reds_OCondThrow,axiom,
    ! [Eb,E_1_1,E_2,S,Pa] : hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cond_list_char(throw_list_char(Eb),E_1_1,E_2)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(Eb)),S))),red(Pa))),
    file('theBenchmark.p',fact_1101_red__reds_OCondThrow) ).

fof(fact_1102_CondReds,axiom,
    ! [E_1_1,E_2,Eb,S,E_b,S_2,Pa] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_2))),transi2024712006on_val(red(Pa))))
     => hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cond_list_char(Eb,E_1_1,E_2)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cond_list_char(E_b,E_1_1,E_2)),S_2))),transi2024712006on_val(red(Pa)))) ),
    file('theBenchmark.p',fact_1102_CondReds) ).

fof(fact_1103_CondRedsThrow,axiom,
    ! [E_1_1,E_2,Eb,S,A,S_2,Pa] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(A)),S_2))),transi2024712006on_val(red(Pa))))
     => hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cond_list_char(Eb,E_1_1,E_2)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(A)),S_2))),transi2024712006on_val(red(Pa)))) ),
    file('theBenchmark.p',fact_1103_CondRedsThrow) ).

fof(fact_1104_red__reds_ORedCondT,axiom,
    ! [E_1_1,E_2,S,Pa] : hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cond_list_char(hAPP_v834067052t_char(val_list_char,bool(fTrue)),E_1_1,E_2)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_1_1),S))),red(Pa))),
    file('theBenchmark.p',fact_1104_red__reds_ORedCondT) ).

fof(fact_1105_red__reds_ORedCondF,axiom,
    ! [E_1_1,E_2,S,Pa] : hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cond_list_char(hAPP_v834067052t_char(val_list_char,bool(fFalse)),E_1_1,E_2)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_2),S))),red(Pa))),
    file('theBenchmark.p',fact_1105_red__reds_ORedCondF) ).

fof(fact_1106_unfold__while,axiom,
    ! [Pa,B,C_2,S,E_b,S_2] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,while_list_char(B,C_2),S),E_b),S_2))
    <=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,cond_list_char(B,seq_list_char(C_2,while_list_char(B,C_2)),hAPP_v834067052t_char(val_list_char,unit)),S),E_b),S_2)) ),
    file('theBenchmark.p',fact_1106_unfold__while) ).

fof(fact_1107_redp__redsp_ORedWhile,axiom,
    ! [Pa,B,C_2,S] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,while_list_char(B,C_2),S),cond_list_char(B,seq_list_char(C_2,while_list_char(B,C_2)),hAPP_v834067052t_char(val_list_char,unit))),S)),
    file('theBenchmark.p',fact_1107_redp__redsp_ORedWhile) ).

fof(fact_1108_CondReds2T,axiom,
    ! [E_2,E_1_1,E_b,S_2_1,Eb,S_0,S_1,Pa] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S_0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,bool(fTrue))),S_1))),transi2024712006on_val(red(Pa))))
     => ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_1_1),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_2_1))),transi2024712006on_val(red(Pa))))
       => hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cond_list_char(Eb,E_1_1,E_2)),S_0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_2_1))),transi2024712006on_val(red(Pa)))) ) ),
    file('theBenchmark.p',fact_1108_CondReds2T) ).

fof(fact_1109_CondReds2F,axiom,
    ! [E_1_1,E_2,E_b,S_2_1,Eb,S_0,S_1,Pa] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S_0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,bool(fFalse))),S_1))),transi2024712006on_val(red(Pa))))
     => ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_2),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_2_1))),transi2024712006on_val(red(Pa))))
       => hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cond_list_char(Eb,E_1_1,E_2)),S_0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_2_1))),transi2024712006on_val(red(Pa)))) ) ),
    file('theBenchmark.p',fact_1109_CondReds2F) ).

fof(fact_1110_ty_Osimps_I20_J,axiom,
    ! [List] : nt != hAPP_list_char_ty(class,List),
    file('theBenchmark.p',fact_1110_ty_Osimps_I20_J) ).

fof(fact_1111_ty_Osimps_I21_J,axiom,
    ! [List] : hAPP_list_char_ty(class,List) != nt,
    file('theBenchmark.p',fact_1111_ty_Osimps_I21_J) ).

fof(fact_1112_ty_Osimps_I7_J,axiom,
    nt != void,
    file('theBenchmark.p',fact_1112_ty_Osimps_I7_J) ).

fof(fact_1113_ty_Osimps_I6_J,axiom,
    void != nt,
    file('theBenchmark.p',fact_1113_ty_Osimps_I6_J) ).

fof(fact_1114_WTrtFAccNT,axiom,
    ! [F,D,Ta,Pa,Hb,Ea,Eb] :
      ( hBOOL(wTrt_1(Pa,Hb,Ea,Eb,nt))
     => hBOOL(wTrt_1(Pa,Hb,Ea,fAcc_list_char(Eb,F,D),Ta)) ),
    file('theBenchmark.p',fact_1114_WTrtFAccNT) ).

fof(fact_1115_WTrt_H__WTrts_H_Ointros_I9_J,axiom,
    ! [F,D,Ta,Pa,Hb,Ea,Eb] :
      ( hBOOL(wTrt(Pa,Hb,Ea,Eb,nt))
     => hBOOL(wTrt(Pa,Hb,Ea,fAcc_list_char(Eb,F,D),Ta)) ),
    file('theBenchmark.p',fact_1115_WTrt_H__WTrts_H_Ointros_I9_J) ).

fof(fact_1116_is__refT__def,axiom,
    ! [Ta] :
      ( hBOOL(is_refT(Ta))
    <=> ( ? [C_1] : Ta = hAPP_list_char_ty(class,C_1)
        | Ta = nt ) ),
    file('theBenchmark.p',fact_1116_is__refT__def) ).

fof(fact_1117_WTrtFAssNT,axiom,
    ! [F,D,E_2,T_2_2,Pa,Hb,Ea,E_1_1] :
      ( hBOOL(wTrt_1(Pa,Hb,Ea,E_1_1,nt))
     => ( hBOOL(wTrt_1(Pa,Hb,Ea,E_2,T_2_2))
       => hBOOL(wTrt_1(Pa,Hb,Ea,fAss_list_char(E_1_1,F,D,E_2),void)) ) ),
    file('theBenchmark.p',fact_1117_WTrtFAssNT) ).

fof(fact_1118_WTrt_H__WTrts_H_Ointros_I11_J,axiom,
    ! [F,D,E_2,T_2_2,Pa,Hb,Ea,E_1_1] :
      ( hBOOL(wTrt(Pa,Hb,Ea,E_1_1,nt))
     => ( hBOOL(wTrt(Pa,Hb,Ea,E_2,T_2_2))
       => hBOOL(wTrt(Pa,Hb,Ea,fAss_list_char(E_1_1,F,D,E_2),void)) ) ),
    file('theBenchmark.p',fact_1118_WTrt_H__WTrts_H_Ointros_I11_J) ).

fof(fact_1119_typeof__h_Osimps_I2_J,axiom,
    ! [Hb] : hAPP_val_option_ty(typeof_h(Hb),null) = hAPP_ty_option_ty(some_ty,nt),
    file('theBenchmark.p',fact_1119_typeof__h_Osimps_I2_J) ).

fof(fact_1120_WTrt__elim__cases_I7_J,axiom,
    ! [Pa,Hb,Ea,Eb,F,D,Ta] :
      ( hBOOL(wTrt_1(Pa,Hb,Ea,fAcc_list_char(Eb,F,D),Ta))
     => ( ! [C_1] :
            ( hBOOL(wTrt_1(Pa,Hb,Ea,Eb,hAPP_list_char_ty(class,C_1)))
           => ~ hBOOL(hAPP_list_char_bool(has_fi1183600461t_char(Pa,C_1,F,Ta),D)) )
       => hBOOL(wTrt_1(Pa,Hb,Ea,Eb,nt)) ) ),
    file('theBenchmark.p',fact_1120_WTrt__elim__cases_I7_J) ).

fof(fact_1121_WTrt__elim__cases_I8_J,axiom,
    ! [Pa,Hb,Ea,Eb,F,D,Va,Ta] :
      ( hBOOL(wTrt_1(Pa,Hb,Ea,fAss_list_char(Eb,F,D,Va),Ta))
     => ( ( Ta = void
         => ! [C_1] :
              ( hBOOL(wTrt_1(Pa,Hb,Ea,Eb,hAPP_list_char_ty(class,C_1)))
             => ! [T_4] :
                  ( hBOOL(hAPP_list_char_bool(has_fi1183600461t_char(Pa,C_1,F,T_4),D))
                 => ! [T_2_1] :
                      ( hBOOL(wTrt_1(Pa,Hb,Ea,Va,T_2_1))
                     => ~ hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(Pa),T_2_1),T_4)) ) ) ) )
       => ~ ( Ta = void
           => ( hBOOL(wTrt_1(Pa,Hb,Ea,Eb,nt))
             => ! [T_2_1] : ~ hBOOL(wTrt_1(Pa,Hb,Ea,Va,T_2_1)) ) ) ) ),
    file('theBenchmark.p',fact_1121_WTrt__elim__cases_I8_J) ).

fof(fact_1122_refTE,axiom,
    ! [T] :
      ( hBOOL(is_refT(T))
     => ( T != nt
       => ~ ! [C_1] : T != hAPP_list_char_ty(class,C_1) ) ),
    file('theBenchmark.p',fact_1122_refTE) ).

fof(fact_1123_eval__cases_I10_J,axiom,
    ! [Pa,Eb,E_1_1,E_2,S,E_b,S_2] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,cond_list_char(Eb,E_1_1,E_2),S),E_b),S_2))
     => ( ! [S_1_1] :
            ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S),hAPP_v834067052t_char(val_list_char,bool(fTrue))),S_1_1))
           => ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1_1,S_1_1),E_b),S_2)) )
       => ( ! [S_1_1] :
              ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S),hAPP_v834067052t_char(val_list_char,bool(fFalse))),S_1_1))
             => ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_2,S_1_1),E_b),S_2)) )
         => ~ ! [E_1] :
                ( E_b = throw_list_char(E_1)
               => ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S),throw_list_char(E_1)),S_2)) ) ) ) ),
    file('theBenchmark.p',fact_1123_eval__cases_I10_J) ).

fof(fact_1124_red__reds_ORedNewFail,axiom,
    ! [C,Lb,Pa,Hb] :
      ( new_Addr(Hb) = none_nat
     => hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,new_list_char(C)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(outOfMemory))))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb)))),red(Pa))) ),
    file('theBenchmark.p',fact_1124_red__reds_ORedNewFail) ).

fof(fact_1125_WTrtNew,axiom,
    ! [Hb,Ea,Pa,C] :
      ( hBOOL(hAPP_list_char_bool(is_cla570604648t_char(Pa),C))
     => hBOOL(wTrt_1(Pa,Hb,Ea,new_list_char(C),hAPP_list_char_ty(class,C))) ),
    file('theBenchmark.p',fact_1125_WTrtNew) ).

fof(fact_1126_WTrt__elim__cases_I10_J,axiom,
    ! [Pa,Hb,Ea,C,Ta] :
      ( hBOOL(wTrt_1(Pa,Hb,Ea,new_list_char(C),Ta))
     => ~ ( Ta = hAPP_list_char_ty(class,C)
         => ~ hBOOL(hAPP_list_char_bool(is_cla570604648t_char(Pa),C)) ) ),
    file('theBenchmark.p',fact_1126_WTrt__elim__cases_I10_J) ).

fof(fact_1127_new__Addr__SomeD,axiom,
    ! [Hb,A] :
      ( new_Addr(Hb) = hAPP_nat_option_nat(some_nat,A)
     => hAPP_n546249108on_val(Hb,A) = none_P179726773on_val ),
    file('theBenchmark.p',fact_1127_new__Addr__SomeD) ).

fof(fact_1128_WTrt_H__WTrts_H_Ointros_I1_J,axiom,
    ! [Hb,Ea,Pa,C] :
      ( hBOOL(hAPP_list_char_bool(is_cla570604648t_char(Pa),C))
     => hBOOL(wTrt(Pa,Hb,Ea,new_list_char(C),hAPP_list_char_ty(class,C))) ),
    file('theBenchmark.p',fact_1128_WTrt_H__WTrts_H_Ointros_I1_J) ).

fof(fact_1129_NewFail,axiom,
    ! [Pa,C,Lb,Hb] :
      ( new_Addr(Hb) = none_nat
     => hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,new_list_char(C),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb)),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(outOfMemory))))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb))) ),
    file('theBenchmark.p',fact_1129_NewFail) ).

fof(fact_1130_redp__redsp_ORedNewFail,axiom,
    ! [Pa,C,Lb,Hb] :
      ( new_Addr(Hb) = none_nat
     => hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,new_list_char(C),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb)),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(outOfMemory))))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb))) ),
    file('theBenchmark.p',fact_1130_redp__redsp_ORedNewFail) ).

fof(fact_1131_red__reds_ORedNew,axiom,
    ! [Lb,H_b,Pa,C,FDTs,Hb,A] :
      ( new_Addr(Hb) = hAPP_nat_option_nat(some_nat,A)
     => ( hBOOL(fields1147507508t_char(Pa,C,FDTs))
       => ( H_b = fun_up2041264236on_val(Hb,A,hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),init_fields(FDTs))))
         => hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,new_list_char(C)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,addr(A))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),Lb)))),red(Pa))) ) ) ),
    file('theBenchmark.p',fact_1131_red__reds_ORedNew) ).

fof(fact_1132_redp__redsp_ORedNew,axiom,
    ! [Lb,H_b,Pa,C,FDTs,Hb,A] :
      ( new_Addr(Hb) = hAPP_nat_option_nat(some_nat,A)
     => ( hBOOL(fields1147507508t_char(Pa,C,FDTs))
       => ( H_b = fun_up2041264236on_val(Hb,A,hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),init_fields(FDTs))))
         => hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,new_list_char(C),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb)),hAPP_v834067052t_char(val_list_char,addr(A))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),Lb))) ) ) ),
    file('theBenchmark.p',fact_1132_redp__redsp_ORedNew) ).

fof(fact_1133_New,axiom,
    ! [Lb,H_b,Pa,C,FDTs,Hb,A] :
      ( new_Addr(Hb) = hAPP_nat_option_nat(some_nat,A)
     => ( hBOOL(fields1147507508t_char(Pa,C,FDTs))
       => ( H_b = fun_up2041264236on_val(Hb,A,hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),init_fields(FDTs))))
         => hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,new_list_char(C),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb)),hAPP_v834067052t_char(val_list_char,addr(A))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),Lb))) ) ) ),
    file('theBenchmark.p',fact_1133_New) ).

fof(fact_1134_red__reds_ORedCallNull,axiom,
    ! [M,Vs_1,S,Pa] : hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,call_list_char(hAPP_v834067052t_char(val_list_char,null),M,map_va1934808527t_char(val_list_char,Vs_1))),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer))))),S))),red(Pa))),
    file('theBenchmark.p',fact_1134_red__reds_ORedCallNull) ).

fof(fact_1135_redp__redsp_ORedCallNull,axiom,
    ! [Pa,M,Vs_1,S] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,call_list_char(hAPP_v834067052t_char(val_list_char,null),M,map_va1934808527t_char(val_list_char,Vs_1)),S),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer))))),S)),
    file('theBenchmark.p',fact_1135_redp__redsp_ORedCallNull) ).

fof(fact_1136_CallObjThrow,axiom,
    ! [M,Ps,Pa,Eb,S_0,E_b,S_1] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S_0),throw_list_char(E_b)),S_1))
     => hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,call_list_char(Eb,M,Ps),S_0),throw_list_char(E_b)),S_1)) ),
    file('theBenchmark.p',fact_1136_CallObjThrow) ).

fof(fact_1137_redp__redsp_OCallObj,axiom,
    ! [M,Esa,Pa,Eb,S,E_b,S_2] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Eb,S),E_b),S_2))
     => hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,call_list_char(Eb,M,Esa),S),call_list_char(E_b,M,Esa)),S_2)) ),
    file('theBenchmark.p',fact_1137_redp__redsp_OCallObj) ).

fof(fact_1138_redp__redsp_OCallThrowObj,axiom,
    ! [Pa,Eb,M,Esa,S] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,call_list_char(throw_list_char(Eb),M,Esa),S),throw_list_char(Eb)),S)),
    file('theBenchmark.p',fact_1138_redp__redsp_OCallThrowObj) ).

fof(fact_1139_red__reds_OCallObj,axiom,
    ! [M,Esa,Eb,S,E_b,S_2,Pa] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_2))),red(Pa)))
     => hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,call_list_char(Eb,M,Esa)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,call_list_char(E_b,M,Esa)),S_2))),red(Pa))) ),
    file('theBenchmark.p',fact_1139_red__reds_OCallObj) ).

fof(fact_1140_red__reds_OCallThrowObj,axiom,
    ! [Eb,M,Esa,S,Pa] : hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,call_list_char(throw_list_char(Eb),M,Esa)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(Eb)),S))),red(Pa))),
    file('theBenchmark.p',fact_1140_red__reds_OCallThrowObj) ).

fof(fact_1141_CallRedsObj,axiom,
    ! [M,Esa,Eb,S,E_b,S_2,Pa] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_2))),transi2024712006on_val(red(Pa))))
     => hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,call_list_char(Eb,M,Esa)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,call_list_char(E_b,M,Esa)),S_2))),transi2024712006on_val(red(Pa)))) ),
    file('theBenchmark.p',fact_1141_CallRedsObj) ).

fof(fact_1142_CallRedsThrowObj,axiom,
    ! [M,Esa,Eb,S0,A,S_1,Pa] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(A)),S_1))),transi2024712006on_val(red(Pa))))
     => hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,call_list_char(Eb,M,Esa)),S0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(A)),S_1))),transi2024712006on_val(red(Pa)))) ),
    file('theBenchmark.p',fact_1142_CallRedsThrowObj) ).

fof(fact_1143_CallRedsNull,axiom,
    ! [M,Esa,Vs_1,S_2_1,Eb,S_0,S_1,Pa] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S_0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,null)),S_1))),transi2024712006on_val(red(Pa))))
     => ( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Esa),S_1)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,map_va1934808527t_char(val_list_char,Vs_1)),S_2_1))),transi374442731on_val(reds(Pa))))
       => hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,call_list_char(Eb,M,Esa)),S_0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer))))),S_2_1))),transi2024712006on_val(red(Pa)))) ) ),
    file('theBenchmark.p',fact_1143_CallRedsNull) ).

fof(fact_1144_CallNull,axiom,
    ! [M,Ps,Vs_1,S_2_1,Pa,Eb,S_0,S_1] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S_0),hAPP_v834067052t_char(val_list_char,null)),S_1))
     => ( hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,Ps,S_1),map_va1934808527t_char(val_list_char,Vs_1)),S_2_1))
       => hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,call_list_char(Eb,M,Ps),S_0),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer))))),S_2_1)) ) ),
    file('theBenchmark.p',fact_1144_CallNull) ).

fof(fact_1145_extend__1__evals,axiom,
    ! [Es_a,T_3,Esa,T_2,Es_1,T_1,Pa] :
      ( hBOOL(wf_pro755087577t_char(wwf_J_mdecl,Pa))
     => ( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Esa),T_2)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Es_1),T_1))),reds(Pa)))
       => ( hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,Es_1,T_1),Es_a),T_3))
         => hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,Esa,T_2),Es_a),T_3)) ) ) ),
    file('theBenchmark.p',fact_1145_extend__1__evals) ).

fof(fact_1146_extend__evals,axiom,
    ! [Es_a,S_2,Esa,S,Es_1,S_3,Pa] :
      ( hBOOL(wf_pro755087577t_char(wwf_J_mdecl,Pa))
     => ( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Esa),S)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Es_1),S_3))),transi374442731on_val(reds(Pa))))
       => ( hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,Es_1,S_3),Es_a),S_2))
         => hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,Esa,S),Es_a),S_2)) ) ) ),
    file('theBenchmark.p',fact_1146_extend__evals) ).

fof(fact_1147_bigs__by__smalls,axiom,
    ! [Esa,S,Es_a,S_2,Pa] :
      ( hBOOL(wf_pro755087577t_char(wwf_J_mdecl,Pa))
     => ( hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,Esa,S),Es_a),S_2))
       => hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Esa),S)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Es_a),S_2))),transi374442731on_val(reds(Pa)))) ) ),
    file('theBenchmark.p',fact_1147_bigs__by__smalls) ).

fof(fact_1148_evals__hext,axiom,
    ! [Pa,Esa,Hb,Lb,Es_a,H_b,L_b] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,Esa,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb)),Es_a),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),L_b)))
     => hBOOL(hext(Hb,H_b)) ),
    file('theBenchmark.p',fact_1148_evals__hext) ).

fof(fact_1149_reds__hext__incr,axiom,
    ! [Esa,Hb,Lb,Es_a,H_b,L_b,Pa] :
      ( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Esa),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb))),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Es_a),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),L_b)))),reds(Pa)))
     => hBOOL(hext(Hb,H_b)) ),
    file('theBenchmark.p',fact_1149_reds__hext__incr) ).

fof(fact_1150_evals__lcl__incr,axiom,
    ! [Pa,Esa,H_0,L_0,Es_a,H_1,L_1_1] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,Esa,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_0),L_0)),Es_a),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_1),L_1_1)))
     => hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(dom_list_char_val(L_0)),dom_list_char_val(L_1_1))) ),
    file('theBenchmark.p',fact_1150_evals__lcl__incr) ).

fof(fact_1151_red__reds_OCallParams,axiom,
    ! [Va,M,Esa,S,Es_a,S_2,Pa] :
      ( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Esa),S)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Es_a),S_2))),reds(Pa)))
     => hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,call_list_char(hAPP_v834067052t_char(val_list_char,Va),M,Esa)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,call_list_char(hAPP_v834067052t_char(val_list_char,Va),M,Es_a)),S_2))),red(Pa))) ),
    file('theBenchmark.p',fact_1151_red__reds_OCallParams) ).

fof(fact_1152_CallRedsParams,axiom,
    ! [Va,M,Esa,S,Es_a,S_2,Pa] :
      ( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Esa),S)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Es_a),S_2))),transi374442731on_val(reds(Pa))))
     => hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,call_list_char(hAPP_v834067052t_char(val_list_char,Va),M,Esa)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,call_list_char(hAPP_v834067052t_char(val_list_char,Va),M,Es_a)),S_2))),transi2024712006on_val(red(Pa)))) ),
    file('theBenchmark.p',fact_1152_CallRedsParams) ).

fof(fact_1153_CallRedsThrowParams,axiom,
    ! [M,Esa,Vs_1_1,A,Es_2,S_2_1,Eb,S0,Va,S_1,Pa] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,Va)),S_1))),transi2024712006on_val(red(Pa))))
     => ( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Esa),S_1)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,append_exp_list_char(map_va1934808527t_char(val_list_char,Vs_1_1),cons_exp_list_char(throw_list_char(A),Es_2))),S_2_1))),transi374442731on_val(reds(Pa))))
       => hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,call_list_char(Eb,M,Esa)),S0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(A)),S_2_1))),transi2024712006on_val(red(Pa)))) ) ),
    file('theBenchmark.p',fact_1153_CallRedsThrowParams) ).

fof(fact_1154_fv__fvs_Osimps_I9_J,axiom,
    ! [Eb,M,Esa] : fv(call_list_char(Eb,M,Esa)) = semila919158006r_bool(fv(Eb),fvs(Esa)),
    file('theBenchmark.p',fact_1154_fv__fvs_Osimps_I9_J) ).

fof(fact_1155_fv__fvs_Osimps_I17_J,axiom,
    ! [Eb,Esa] : fvs(cons_exp_list_char(Eb,Esa)) = semila919158006r_bool(fv(Eb),fvs(Esa)),
    file('theBenchmark.p',fact_1155_fv__fvs_Osimps_I17_J) ).

fof(fact_1156_eval__evals_OCons,axiom,
    ! [Esa,Es_a,S_2_1,Pa,Eb,S_0,Va,S_1] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S_0),hAPP_v834067052t_char(val_list_char,Va)),S_1))
     => ( hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,Esa,S_1),Es_a),S_2_1))
       => hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,cons_exp_list_char(Eb,Esa),S_0),cons_exp_list_char(hAPP_v834067052t_char(val_list_char,Va),Es_a)),S_2_1)) ) ),
    file('theBenchmark.p',fact_1156_eval__evals_OCons) ).

fof(fact_1157_ConsThrow,axiom,
    ! [Esa,Pa,Eb,S_0,E_b,S_1] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S_0),throw_list_char(E_b)),S_1))
     => hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,cons_exp_list_char(Eb,Esa),S_0),cons_exp_list_char(throw_list_char(E_b),Esa)),S_1)) ),
    file('theBenchmark.p',fact_1157_ConsThrow) ).

fof(fact_1158_red__reds_OListRed2,axiom,
    ! [Va,Esa,S,Es_a,S_2,Pa] :
      ( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Esa),S)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Es_a),S_2))),reds(Pa)))
     => hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,cons_exp_list_char(hAPP_v834067052t_char(val_list_char,Va),Esa)),S)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,cons_exp_list_char(hAPP_v834067052t_char(val_list_char,Va),Es_a)),S_2))),reds(Pa))) ),
    file('theBenchmark.p',fact_1158_red__reds_OListRed2) ).

fof(fact_1159_redp__redsp_OCallThrowParams,axiom,
    ! [Pa,Va,M,S,Esa,Vs_1,Eb,Es_a] :
      ( Esa = append_exp_list_char(map_va1934808527t_char(val_list_char,Vs_1),cons_exp_list_char(throw_list_char(Eb),Es_a))
     => hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,call_list_char(hAPP_v834067052t_char(val_list_char,Va),M,Esa),S),throw_list_char(Eb)),S)) ),
    file('theBenchmark.p',fact_1159_redp__redsp_OCallThrowParams) ).

fof(fact_1160_list__eval__Throw,axiom,
    ! [Vs_1,Es_a,Pa,X_2,S,E_b,S_2] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,throw_list_char(X_2),S),E_b),S_2))
     => hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,append_exp_list_char(map_va1934808527t_char(val_list_char,Vs_1),cons_exp_list_char(throw_list_char(X_2),Es_a)),S),append_exp_list_char(map_va1934808527t_char(val_list_char,Vs_1),cons_exp_list_char(E_b,Es_a))),S_2)) ),
    file('theBenchmark.p',fact_1160_list__eval__Throw) ).

fof(fact_1161_ListReds2,axiom,
    ! [Va,Esa,S,Es_a,S_2,Pa] :
      ( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Esa),S)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Es_a),S_2))),transi374442731on_val(reds(Pa))))
     => hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,cons_exp_list_char(hAPP_v834067052t_char(val_list_char,Va),Esa)),S)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,cons_exp_list_char(hAPP_v834067052t_char(val_list_char,Va),Es_a)),S_2))),transi374442731on_val(reds(Pa)))) ),
    file('theBenchmark.p',fact_1161_ListReds2) ).

fof(fact_1162_red__reds_OListRed1,axiom,
    ! [Esa,Eb,S,E_b,S_2,Pa] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_2))),red(Pa)))
     => hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,cons_exp_list_char(Eb,Esa)),S)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,cons_exp_list_char(E_b,Esa)),S_2))),reds(Pa))) ),
    file('theBenchmark.p',fact_1162_red__reds_OListRed1) ).

fof(fact_1163_CallParamsThrow,axiom,
    ! [M,Esa,Vs_1,Ex,Es_a,S_2_1,Pa,Eb,S_0,Va,S_1] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S_0),hAPP_v834067052t_char(val_list_char,Va)),S_1))
     => ( hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,Esa,S_1),append_exp_list_char(map_va1934808527t_char(val_list_char,Vs_1),cons_exp_list_char(throw_list_char(Ex),Es_a))),S_2_1))
       => hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,call_list_char(Eb,M,Esa),S_0),throw_list_char(Ex)),S_2_1)) ) ),
    file('theBenchmark.p',fact_1163_CallParamsThrow) ).

fof(fact_1164_red__reds_OCallThrowParams,axiom,
    ! [Va,M,S,Pa,Esa,Vs_1,Eb,Es_a] :
      ( Esa = append_exp_list_char(map_va1934808527t_char(val_list_char,Vs_1),cons_exp_list_char(throw_list_char(Eb),Es_a))
     => hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,call_list_char(hAPP_v834067052t_char(val_list_char,Va),M,Esa)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(Eb)),S))),red(Pa))) ),
    file('theBenchmark.p',fact_1164_red__reds_OCallThrowParams) ).

fof(fact_1165_ListReds1,axiom,
    ! [Esa,Eb,S,E_b,S_2,Pa] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_2))),transi2024712006on_val(red(Pa))))
     => hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,cons_exp_list_char(Eb,Esa)),S)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,cons_exp_list_char(E_b,Esa)),S_2))),transi374442731on_val(reds(Pa)))) ),
    file('theBenchmark.p',fact_1165_ListReds1) ).

fof(fact_1166_ListRedsVal,axiom,
    ! [Esa,Es_a,S_2_1,Eb,S_0,Va,S_1,Pa] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S_0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,Va)),S_1))),transi2024712006on_val(red(Pa))))
     => ( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Esa),S_1)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Es_a),S_2_1))),transi374442731on_val(reds(Pa))))
       => hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,cons_exp_list_char(Eb,Esa)),S_0)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,cons_exp_list_char(hAPP_v834067052t_char(val_list_char,Va),Es_a)),S_2_1))),transi374442731on_val(reds(Pa)))) ) ),
    file('theBenchmark.p',fact_1166_ListRedsVal) ).

fof(fact_1167_evals__cases_I2_J,axiom,
    ! [Pa,Eb,Esa,S,E_b,S_2] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,cons_exp_list_char(Eb,Esa),S),E_b),S_2))
     => ( ! [V_2,S_1_1,Es] :
            ( E_b = cons_exp_list_char(hAPP_v834067052t_char(val_list_char,V_2),Es)
           => ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S),hAPP_v834067052t_char(val_list_char,V_2)),S_1_1))
             => ~ hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,Esa,S_1_1),Es),S_2)) ) )
       => ~ ! [E_1] :
              ( E_b = cons_exp_list_char(throw_list_char(E_1),Esa)
             => ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S),throw_list_char(E_1)),S_2)) ) ) ),
    file('theBenchmark.p',fact_1167_evals__cases_I2_J) ).

fof(fact_1168_evals__final,axiom,
    ! [Pa,Esa,S,Es_a,S_2] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,Esa,S),Es_a),S_2))
     => hBOOL(finals_list_char(Es_a)) ),
    file('theBenchmark.p',fact_1168_evals__final) ).

fof(fact_1169_eval__finalsId,axiom,
    ! [Pa,S,Esa] :
      ( hBOOL(finals_list_char(Esa))
     => hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,Esa,S),Esa),S)) ),
    file('theBenchmark.p',fact_1169_eval__finalsId) ).

fof(fact_1170_reds__preserves__sconf,axiom,
    ! [Ea,Ts,Esa,S,Es_a,S_2,Pa] :
      ( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Esa),S)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Es_a),S_2))),reds(Pa)))
     => ( hBOOL(wTrts_1(Pa,hp(S),Ea,Esa,Ts))
       => ( hBOOL(hAPP_P159683425l_bool(typeSa1700205512_sconf(Pa,Ea),S))
         => hBOOL(hAPP_P159683425l_bool(typeSa1700205512_sconf(Pa,Ea),S_2)) ) ) ),
    file('theBenchmark.p',fact_1170_reds__preserves__sconf) ).

fof(fact_1171_WTrtCons,axiom,
    ! [Esa,Ts,Pa,Hb,Ea,Eb,Ta] :
      ( hBOOL(wTrt_1(Pa,Hb,Ea,Eb,Ta))
     => ( hBOOL(wTrts_1(Pa,Hb,Ea,Esa,Ts))
       => hBOOL(wTrts_1(Pa,Hb,Ea,cons_exp_list_char(Eb,Esa),cons_ty(Ta,Ts))) ) ),
    file('theBenchmark.p',fact_1171_WTrtCons) ).

fof(fact_1172_WTrts__hext__mono,axiom,
    ! [H_b,Pa,Hb,Ea,Esa,Ts] :
      ( hBOOL(wTrts_1(Pa,Hb,Ea,Esa,Ts))
     => ( hBOOL(hext(Hb,H_b))
       => hBOOL(wTrts_1(Pa,H_b,Ea,Esa,Ts)) ) ),
    file('theBenchmark.p',fact_1172_WTrts__hext__mono) ).

fof(fact_1173_WTrtCallNT,axiom,
    ! [M,Ta,Esa,Ts,Pa,Hb,Ea,Eb] :
      ( hBOOL(wTrt_1(Pa,Hb,Ea,Eb,nt))
     => ( hBOOL(wTrts_1(Pa,Hb,Ea,Esa,Ts))
       => hBOOL(wTrt_1(Pa,Hb,Ea,call_list_char(Eb,M,Esa),Ta)) ) ),
    file('theBenchmark.p',fact_1173_WTrtCallNT) ).

fof(fact_1174_WTrts__Val,axiom,
    ! [Pa,Hb,Ea,Vs_1,Ts] :
      ( hBOOL(wTrts_1(Pa,Hb,Ea,map_va1934808527t_char(val_list_char,Vs_1),Ts))
    <=> map_val_option_ty(typeof_h(Hb),Vs_1) = map_ty_option_ty(some_ty,Ts) ),
    file('theBenchmark.p',fact_1174_WTrts__Val) ).

fof(fact_1175_reds__preserves__hconf,axiom,
    ! [Ea,Ts,Esa,Hb,Lb,Es_a,H_b,L_b,Pa] :
      ( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Esa),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb))),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Es_a),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),L_b)))),reds(Pa)))
     => ( hBOOL(wTrts_1(Pa,Hb,Ea,Esa,Ts))
       => ( hBOOL(hAPP_f61040418l_bool(hconf_97414254t_char(Pa),Hb))
         => hBOOL(hAPP_f61040418l_bool(hconf_97414254t_char(Pa),H_b)) ) ) ),
    file('theBenchmark.p',fact_1175_reds__preserves__hconf) ).

fof(fact_1176_reds__preserves__lconf,axiom,
    ! [Ea,Ts,Esa,Hb,Lb,Es_a,H_b,L_b,Pa] :
      ( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Esa),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb))),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Es_a),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),L_b)))),reds(Pa)))
     => ( hBOOL(wTrts_1(Pa,Hb,Ea,Esa,Ts))
       => ( hBOOL(hAPP_f1001225811y_bool(hAPP_f2060496320y_bool(hAPP_f1213370163y_bool(lconf_496643946t_char(Pa),Hb),Lb),Ea))
         => hBOOL(hAPP_f1001225811y_bool(hAPP_f2060496320y_bool(hAPP_f1213370163y_bool(lconf_496643946t_char(Pa),H_b),L_b),Ea)) ) ) ),
    file('theBenchmark.p',fact_1176_reds__preserves__lconf) ).

fof(fact_1177_redsp__reds__eq,axiom,
    ! [Pa,X_1,Xa,Xb,Xc] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(redsp(Pa,X_1,Xa),Xb),Xc))
    <=> hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,X_1),Xa)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Xb),Xc))),reds(Pa))) ),
    file('theBenchmark.p',fact_1177_redsp__reds__eq) ).

fof(fact_1178_blocks_Osimps_I1_J,axiom,
    ! [V_1,Vs_3,T,Ts_3,V,Vs_2,E] : blocks(hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,cons_list_char(V_1,Vs_3)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,cons_ty(T,Ts_3)),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,cons_val(V,Vs_2)),E)))) = block_list_char(V_1,T,seq_list_char(lAss_list_char(V_1,hAPP_v834067052t_char(val_list_char,V)),blocks(hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,Vs_3),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,Ts_3),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,Vs_2),E)))))),
    file('theBenchmark.p',fact_1178_blocks_Osimps_I1_J) ).

fof(fact_1179_redp__redsp_OListRed2,axiom,
    ! [Va,Pa,Esa,S,Es_a,S_2] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(redsp(Pa,Esa,S),Es_a),S_2))
     => hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(redsp(Pa,cons_exp_list_char(hAPP_v834067052t_char(val_list_char,Va),Esa),S),cons_exp_list_char(hAPP_v834067052t_char(val_list_char,Va),Es_a)),S_2)) ),
    file('theBenchmark.p',fact_1179_redp__redsp_OListRed2) ).

fof(fact_1180_redp__redsp_OListRed1,axiom,
    ! [Esa,Pa,Eb,S,E_b,S_2] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Eb,S),E_b),S_2))
     => hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(redsp(Pa,cons_exp_list_char(Eb,Esa),S),cons_exp_list_char(E_b,Esa)),S_2)) ),
    file('theBenchmark.p',fact_1180_redp__redsp_OListRed1) ).

fof(fact_1181_redp__redsp_OCallParams,axiom,
    ! [Va,M,Pa,Esa,S,Es_a,S_2] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(redsp(Pa,Esa,S),Es_a),S_2))
     => hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,call_list_char(hAPP_v834067052t_char(val_list_char,Va),M,Esa),S),call_list_char(hAPP_v834067052t_char(val_list_char,Va),M,Es_a)),S_2)) ),
    file('theBenchmark.p',fact_1181_redp__redsp_OCallParams) ).

fof(fact_1182_wf__J__prog__wf__J__mdecl,axiom,
    ! [Jmdcl,C,D,Fds,Mths,Pa] :
      ( hBOOL(wf_pro755087577t_char(wf_J_mdecl,Pa))
     => ( hBOOL(hAPP_f515912112l_bool(hAPP_P205570445l_bool(member1467889965t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,C),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,D),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,Fds),Mths)))),set_Pr1494163115t_char(Pa)))
       => ( hBOOL(hAPP_f483496539l_bool(hAPP_P7095645l_bool(member1601084734t_char,Jmdcl),set_Pr2033386304t_char(Mths)))
         => hBOOL(hAPP_P1384137393r_bool(hAPP_l2054741776r_bool(hAPP_l2138409430r_bool(wf_J_mdecl,Pa),C),Jmdcl)) ) ) ),
    file('theBenchmark.p',fact_1182_wf__J__prog__wf__J__mdecl) ).

fof(fact_1183_CallRedsFinal,axiom,
    ! [Ef,H_3,L_3,L_2_1,M,Ts,Ta,Pns,Body,D,C,Fs,Esa,Vs_1,H_2,L_2,Eb,S_0,A,S_1,Pa] :
      ( hBOOL(wf_pro755087577t_char(wwf_J_mdecl,Pa))
     => ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S_0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,addr(A))),S_1))),transi2024712006on_val(red(Pa))))
       => ( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Esa),S_1)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,map_va1934808527t_char(val_list_char,Vs_1)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_2),L_2)))),transi374442731on_val(reds(Pa))))
         => ( hAPP_n546249108on_val(H_2,A) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),Fs))
           => ( hBOOL(hAPP_list_char_bool(method1809630380t_char(Pa,C,M,Ts,Ta,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,Pns),Body)),D))
             => ( size_size_list_val(Vs_1) = size_s2113983095t_char(Pns)
               => ( L_2_1 = map_up1085636310ar_val(fun_up1149430426on_val(hAPP_o538043682on_val(cOMBK_1097134891t_char,none_val),this,hAPP_val_option_val(some_val,addr(A))),Pns,Vs_1)
                 => ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Body),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_2),L_2_1))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Ef),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_3),L_3)))),transi2024712006on_val(red(Pa))))
                   => ( hBOOL(final_list_char(Ef))
                     => hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,call_list_char(Eb,M,Esa)),S_0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Ef),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_3),L_2)))),transi2024712006on_val(red(Pa)))) ) ) ) ) ) ) ) ) ),
    file('theBenchmark.p',fact_1183_CallRedsFinal) ).

fof(fact_1184_Call,axiom,
    ! [E_b,H_3,L_3,L_2_1,M,Ts,Ta,Pns,Body,D,C,Fs,Ps,Vs_1,H_2,L_2,Pa,Eb,S_0,A,S_1] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S_0),hAPP_v834067052t_char(val_list_char,addr(A))),S_1))
     => ( hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,Ps,S_1),map_va1934808527t_char(val_list_char,Vs_1)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_2),L_2)))
       => ( hAPP_n546249108on_val(H_2,A) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),Fs))
         => ( hBOOL(hAPP_list_char_bool(method1809630380t_char(Pa,C,M,Ts,Ta,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,Pns),Body)),D))
           => ( size_size_list_val(Vs_1) = size_s2113983095t_char(Pns)
             => ( L_2_1 = map_up1085636310ar_val(fun_up1149430426on_val(hAPP_o538043682on_val(cOMBK_1097134891t_char,none_val),this,hAPP_val_option_val(some_val,addr(A))),Pns,Vs_1)
               => ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Body,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_2),L_2_1)),E_b),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_3),L_3)))
                 => hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,call_list_char(Eb,M,Ps),S_0),E_b),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_3),L_2))) ) ) ) ) ) ) ),
    file('theBenchmark.p',fact_1184_Call) ).

fof(fact_1185_red__reds_ORedCall,axiom,
    ! [Vs_1,Pa,M,Ts,Ta,Pns,Body,D,S,A,C,Fs] :
      ( hAPP_n546249108on_val(hp(S),A) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),Fs))
     => ( hBOOL(hAPP_list_char_bool(method1809630380t_char(Pa,C,M,Ts,Ta,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,Pns),Body)),D))
       => ( size_size_list_val(Vs_1) = size_s2113983095t_char(Pns)
         => ( size_size_list_ty(Ts) = size_s2113983095t_char(Pns)
           => hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,call_list_char(hAPP_v834067052t_char(val_list_char,addr(A)),M,map_va1934808527t_char(val_list_char,Vs_1))),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,blocks(hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,cons_list_char(this,Pns)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,cons_ty(hAPP_list_char_ty(class,D),Ts)),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,cons_val(addr(A),Vs_1)),Body))))),S))),red(Pa))) ) ) ) ),
    file('theBenchmark.p',fact_1185_red__reds_ORedCall) ).

fof(fact_1186_redp__redsp_ORedCall,axiom,
    ! [Vs_1,Pa,M,Ts,Ta,Pns,Body,D,S,A,C,Fs] :
      ( hAPP_n546249108on_val(hp(S),A) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),Fs))
     => ( hBOOL(hAPP_list_char_bool(method1809630380t_char(Pa,C,M,Ts,Ta,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,Pns),Body)),D))
       => ( size_size_list_val(Vs_1) = size_s2113983095t_char(Pns)
         => ( size_size_list_ty(Ts) = size_s2113983095t_char(Pns)
           => hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,call_list_char(hAPP_v834067052t_char(val_list_char,addr(A)),M,map_va1934808527t_char(val_list_char,Vs_1)),S),blocks(hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,cons_list_char(this,Pns)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,cons_ty(hAPP_list_char_ty(class,D),Ts)),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,cons_val(addr(A),Vs_1)),Body))))),S)) ) ) ) ),
    file('theBenchmark.p',fact_1186_redp__redsp_ORedCall) ).

fof(fact_1187_WTrts__same__length,axiom,
    ! [Pa,Hb,Ea,Esa,Ts] :
      ( hBOOL(wTrts_1(Pa,Hb,Ea,Esa,Ts))
     => size_s1143674878t_char(Esa) = size_size_list_ty(Ts) ),
    file('theBenchmark.p',fact_1187_WTrts__same__length) ).

fof(fact_1188_blocksFinal,axiom,
    ! [Hb,Lb,Pa,Eb,Vs_1,Vs,Ts] :
      ( size_s2113983095t_char(Vs) = size_size_list_ty(Ts)
     => ( size_size_list_val(Vs_1) = size_size_list_ty(Ts)
       => ( hBOOL(final_list_char(Eb))
         => hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,blocks(hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,Vs),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,Ts),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,Vs_1),Eb))))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb)))),transi2024712006on_val(red(Pa)))) ) ) ),
    file('theBenchmark.p',fact_1188_blocksFinal) ).

fof(fact_1189_blocksEval,axiom,
    ! [Pa,Eb,Hb,Lb,E_b,H_b,L_b,Vs_1,Ps,Ts] :
      ( size_s2113983095t_char(Ps) = size_size_list_ty(Ts)
     => ( size_s2113983095t_char(Ps) = size_size_list_val(Vs_1)
       => ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,blocks(hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,Ps),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,Ts),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,Vs_1),Eb)))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb)),E_b),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),L_b)))
         => ? [L_1] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),map_up1085636310ar_val(Lb,Ps,Vs_1))),E_b),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),L_1))) ) ) ),
    file('theBenchmark.p',fact_1189_blocksEval) ).

fof(fact_1190_wt__blocks,axiom,
    ! [Pa,Hb,Ea,Eb,Ta,Vs_1,Vs,Ts] :
      ( size_s2113983095t_char(Vs) = size_size_list_ty(Ts)
     => ( size_size_list_val(Vs_1) = size_size_list_ty(Ts)
       => ( hBOOL(wTrt_1(Pa,Hb,Ea,blocks(hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,Vs),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,Ts),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,Vs_1),Eb)))),Ta))
        <=> ( ? [Ts_2] :
                ( hBOOL(list_all2_ty_ty(widen_2090681816t_char(Pa),Ts_2,Ts))
                & map_val_option_ty(typeof_h(Hb),Vs_1) = map_ty_option_ty(some_ty,Ts_2) )
            & hBOOL(wTrt_1(Pa,Hb,map_up891053837har_ty(Ea,Vs,Ts),Eb,Ta)) ) ) ) ),
    file('theBenchmark.p',fact_1190_wt__blocks) ).

fof(fact_1191_WTrtCall,axiom,
    ! [Esa,Ts_1,M,Ts,Ta,Pns,Body,D,Pa,Hb,Ea,Eb,C] :
      ( hBOOL(wTrt_1(Pa,Hb,Ea,Eb,hAPP_list_char_ty(class,C)))
     => ( hBOOL(hAPP_list_char_bool(method1809630380t_char(Pa,C,M,Ts,Ta,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,Pns),Body)),D))
       => ( hBOOL(wTrts_1(Pa,Hb,Ea,Esa,Ts_1))
         => ( hBOOL(list_all2_ty_ty(widen_2090681816t_char(Pa),Ts_1,Ts))
           => hBOOL(wTrt_1(Pa,Hb,Ea,call_list_char(Eb,M,Esa),Ta)) ) ) ) ),
    file('theBenchmark.p',fact_1191_WTrtCall) ).

fof(fact_1192_WTrt_H__WTrts_H_Ointros_I12_J,axiom,
    ! [Esa,Ts_1,M,Ts,Ta,Pns,Body,D,Pa,Hb,Ea,Eb,C] :
      ( hBOOL(wTrt(Pa,Hb,Ea,Eb,hAPP_list_char_ty(class,C)))
     => ( hBOOL(hAPP_list_char_bool(method1809630380t_char(Pa,C,M,Ts,Ta,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,Pns),Body)),D))
       => ( hBOOL(wTrts(Pa,Hb,Ea,Esa,Ts_1))
         => ( hBOOL(list_all2_ty_ty(widen_2090681816t_char(Pa),Ts_1,Ts))
           => hBOOL(wTrt(Pa,Hb,Ea,call_list_char(Eb,M,Esa),Ta)) ) ) ) ),
    file('theBenchmark.p',fact_1192_WTrt_H__WTrts_H_Ointros_I12_J) ).

fof(fact_1193_wts_H__iff__wts,axiom,
    ! [Pa,Hb,Ea,Esa,Ts] :
      ( hBOOL(wTrts(Pa,Hb,Ea,Esa,Ts))
    <=> hBOOL(wTrts_1(Pa,Hb,Ea,Esa,Ts)) ),
    file('theBenchmark.p',fact_1193_wts_H__iff__wts) ).

fof(fact_1194_wts_H__wts,axiom,
    ! [Pa,Hb,Ea,Esa,Ts] :
      ( hBOOL(wTrts(Pa,Hb,Ea,Esa,Ts))
     => hBOOL(wTrts_1(Pa,Hb,Ea,Esa,Ts)) ),
    file('theBenchmark.p',fact_1194_wts_H__wts) ).

fof(fact_1195_wts__wts_H,axiom,
    ! [Pa,Hb,Ea,Esa,Ts] :
      ( hBOOL(wTrts_1(Pa,Hb,Ea,Esa,Ts))
     => hBOOL(wTrts(Pa,Hb,Ea,Esa,Ts)) ),
    file('theBenchmark.p',fact_1195_wts__wts_H) ).

fof(fact_1196_WTrt_H__WTrts_H_Ointros_I13_J,axiom,
    ! [M,Ta,Esa,Ts,Pa,Hb,Ea,Eb] :
      ( hBOOL(wTrt(Pa,Hb,Ea,Eb,nt))
     => ( hBOOL(wTrts(Pa,Hb,Ea,Esa,Ts))
       => hBOOL(wTrt(Pa,Hb,Ea,call_list_char(Eb,M,Esa),Ta)) ) ),
    file('theBenchmark.p',fact_1196_WTrt_H__WTrts_H_Ointros_I13_J) ).

fof(fact_1197_WTrt_H__WTrts_H_Ointros_I15_J,axiom,
    ! [Esa,Ts,Pa,Hb,Ea,Eb,Ta] :
      ( hBOOL(wTrt(Pa,Hb,Ea,Eb,Ta))
     => ( hBOOL(wTrts(Pa,Hb,Ea,Esa,Ts))
       => hBOOL(wTrts(Pa,Hb,Ea,cons_exp_list_char(Eb,Esa),cons_ty(Ta,Ts))) ) ),
    file('theBenchmark.p',fact_1197_WTrt_H__WTrts_H_Ointros_I15_J) ).

fof(fact_1198_blocksRedsFinal,axiom,
    ! [L,Eb,Hb,Lb,E_b,H_b,L_b,Pa,Vs_1,Vs,Ts] :
      ( size_s2113983095t_char(Vs) = size_size_list_ty(Ts)
     => ( size_size_list_val(Vs_1) = size_size_list_ty(Ts)
       => ( hBOOL(distinct_list_char(Vs))
         => ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),map_up1085636310ar_val(Lb,Vs,Vs_1)))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),L_b)))),transi2024712006on_val(red(Pa))))
           => ( hBOOL(final_list_char(E_b))
             => ( L = overri2012515291on_val(L_b,Lb,set_list_char(Vs))
               => hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,blocks(hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,Vs),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,Ts),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,Vs_1),Eb))))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),L)))),transi2024712006on_val(red(Pa)))) ) ) ) ) ) ),
    file('theBenchmark.p',fact_1198_blocksRedsFinal) ).

fof(fact_1199_blocksReds,axiom,
    ! [Eb,Hb,Lb,E_b,H_b,L_b,Pa,Vs_1,Vs,Ts] :
      ( size_s2113983095t_char(Vs) = size_size_list_ty(Ts)
     => ( size_size_list_val(Vs_1) = size_size_list_ty(Ts)
       => ( hBOOL(distinct_list_char(Vs))
         => ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),map_up1085636310ar_val(Lb,Vs,Vs_1)))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),L_b)))),transi2024712006on_val(red(Pa))))
           => hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,blocks(hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,Vs),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,Ts),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,Vs_1),Eb))))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,blocks(hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,Vs),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,Ts),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,map_list_char_val(comp_o1129292306t_char(the_val,L_b),Vs)),E_b))))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),overri2012515291on_val(L_b,Lb,set_list_char(Vs)))))),transi2024712006on_val(red(Pa)))) ) ) ) ),
    file('theBenchmark.p',fact_1199_blocksReds) ).

fof(help_fNot_1_1_U,axiom,
    ! [P] :
      ( ~ hBOOL(P)
      | ~ hBOOL(hAPP_bool_bool(fNot,P)) ),
    file('theBenchmark.p',help_fNot_1_1_U) ).

fof(help_fNot_2_1_U,axiom,
    ! [P] :
      ( hBOOL(hAPP_bool_bool(fNot,P))
      | hBOOL(P) ),
    file('theBenchmark.p',help_fNot_2_1_U) ).

fof(help_fTrue_1_1_U,axiom,
    hBOOL(fTrue),
    file('theBenchmark.p',help_fTrue_1_1_U) ).

fof(help_fTrue_1_1_T,axiom,
    ! [P] :
      ( is_bool(P)
     => ( P = fFalse
        | P = fTrue ) ),
    file('theBenchmark.p',help_fTrue_1_1_T) ).

fof(help_fconj_1_1_U,axiom,
    ! [Q,P] :
      ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,P),Q))
      | ~ hBOOL(Q)
      | ~ hBOOL(P) ),
    file('theBenchmark.p',help_fconj_1_1_U) ).

fof(help_fconj_2_1_U,axiom,
    ! [P,Q] :
      ( hBOOL(P)
      | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,P),Q)) ),
    file('theBenchmark.p',help_fconj_2_1_U) ).

fof(help_fconj_3_1_U,axiom,
    ! [P,Q] :
      ( hBOOL(Q)
      | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,P),Q)) ),
    file('theBenchmark.p',help_fconj_3_1_U) ).

fof(help_fdisj_1_1_U,axiom,
    ! [Q,P] :
      ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fdisj,P),Q))
      | ~ hBOOL(P) ),
    file('theBenchmark.p',help_fdisj_1_1_U) ).

fof(help_fdisj_2_1_U,axiom,
    ! [P,Q] :
      ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fdisj,P),Q))
      | ~ hBOOL(Q) ),
    file('theBenchmark.p',help_fdisj_2_1_U) ).

fof(help_fdisj_3_1_U,axiom,
    ! [P,Q] :
      ( hBOOL(Q)
      | hBOOL(P)
      | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fdisj,P),Q)) ),
    file('theBenchmark.p',help_fdisj_3_1_U) ).

fof(help_fFalse_1_1_U,axiom,
    ~ hBOOL(fFalse),
    file('theBenchmark.p',help_fFalse_1_1_U) ).

fof(help_fFalse_1_1_T,axiom,
    ! [P] :
      ( is_bool(P)
     => ( P = fFalse
        | P = fTrue ) ),
    file('theBenchmark.p',help_fFalse_1_1_T) ).

fof(help_fequal_1_1_fequal_000tc__Value__Oval_T,axiom,
    ! [X,Y] :
      ( X = Y
      | ~ hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(fequal_val,X),Y)) ),
    file('theBenchmark.p',help_fequal_1_1_fequal_000tc__Value__Oval_T) ).

fof(help_fequal_2_1_fequal_000tc__Value__Oval_T,axiom,
    ! [X,Y] :
      ( hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(fequal_val,X),Y))
      | X != Y ),
    file('theBenchmark.p',help_fequal_2_1_fequal_000tc__Value__Oval_T) ).

fof(help_fequal_1_1_fequal_000tc__Option__Ooption_Itc__Value__Oval_J_T,axiom,
    ! [X,Y] :
      ( X = Y
      | ~ hBOOL(hAPP_option_val_bool(hAPP_o586881855l_bool(fequal_option_val,X),Y)) ),
    file('theBenchmark.p',help_fequal_1_1_fequal_000tc__Option__Ooption_Itc__Value__Oval_J_T) ).

fof(help_fequal_2_1_fequal_000tc__Option__Ooption_Itc__Value__Oval_J_T,axiom,
    ! [X,Y] :
      ( hBOOL(hAPP_option_val_bool(hAPP_o586881855l_bool(fequal_option_val,X),Y))
      | X != Y ),
    file('theBenchmark.p',help_fequal_2_1_fequal_000tc__Option__Ooption_Itc__Value__Oval_J_T) ).

fof(help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__HOL__Obool_000tc__Nat__Onat_U,axiom,
    ! [P,Q,R] : hAPP_nat_bool(hAPP_f800510211t_bool(hAPP_f894608603t_bool(cOMBB_bool_bool_nat,P),Q),R) = hAPP_bool_bool(P,hAPP_nat_bool(Q,R)),
    file('theBenchmark.p',help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__HOL__Obool_000tc__Nat__Onat_U) ).

fof(help_COMBS_1_1_COMBS_000tc__Nat__Onat_000tc__HOL__Obool_000tc__HOL__Obool_U,axiom,
    ! [P,Q,R] : hAPP_nat_bool(cOMBS_nat_bool_bool(P,Q),R) = hAPP_bool_bool(hAPP_n1006566506l_bool(P,R),hAPP_nat_bool(Q,R)),
    file('theBenchmark.p',help_COMBS_1_1_COMBS_000tc__Nat__Onat_000tc__HOL__Obool_000tc__HOL__Obool_U) ).

fof(help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__HOL__Obool_000tc__List__Olist_Itc_,axiom,
    ! [P,Q,R] : hAPP_list_char_bool(hAPP_f1371002581r_bool(hAPP_f1861125939r_bool(cOMBB_1091123364t_char,P),Q),R) = hAPP_bool_bool(P,hAPP_list_char_bool(Q,R)),
    file('theBenchmark.p',help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__HOL__Obool_000tc__List__Olist_Itc_) ).

fof(help_COMBS_1_1_COMBS_000tc__List__Olist_Itc__String__Ochar_J_000tc__HOL__Obool_0,axiom,
    ! [P,Q,R] : hAPP_list_char_bool(cOMBS_1502238389l_bool(P,Q),R) = hAPP_bool_bool(hAPP_l2010421276l_bool(P,R),hAPP_list_char_bool(Q,R)),
    file('theBenchmark.p',help_COMBS_1_1_COMBS_000tc__List__Olist_Itc__String__Ochar_J_000tc__HOL__Obool_0) ).

fof(help_COMBC_1_1_COMBC_000tc__Nat__Onat_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_,axiom,
    ! [P,Q,R] : hAPP_nat_bool(hAPP_f800510211t_bool(hAPP_f1722879237t_bool(cOMBC_226598744l_bool,P),Q),R) = hAPP_f54304608l_bool(hAPP_n215258509l_bool(P,R),Q),
    file('theBenchmark.p',help_COMBC_1_1_COMBC_000tc__Nat__Onat_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_) ).

fof(help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Oboo,axiom,
    ! [P,Q,R] : hAPP_n1006566506l_bool(hAPP_f1146629647l_bool(hAPP_f1080886329l_bool(cOMBB_1015721476ol_nat,P),Q),R) = hAPP_b589554111l_bool(P,hAPP_nat_bool(Q,R)),
    file('theBenchmark.p',help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Oboo) ).

fof(help_COMBK_1_1_COMBK_000tc__Option__Ooption_Itc__Type__Oty_J_000tc__List__Olist_,axiom,
    ! [P,Q] : hAPP_l512744617ion_ty(hAPP_o1240645474ion_ty(cOMBK_1294242658t_char,P),Q) = P,
    file('theBenchmark.p',help_COMBK_1_1_COMBK_000tc__Option__Ooption_Itc__Type__Oty_J_000tc__List__Olist_) ).

fof(help_COMBK_1_1_COMBK_000tc__Option__Ooption_Itc__Value__Oval_J_000tc__List__Olis,axiom,
    ! [P,Q] : hAPP_l207779698on_val(hAPP_o538043682on_val(cOMBK_1097134891t_char,P),Q) = P,
    file('theBenchmark.p',help_COMBK_1_1_COMBK_000tc__Option__Ooption_Itc__Value__Oval_J_000tc__List__Olis) ).

fof(help_COMBB_1_1_COMBB_000tc__Type__Oty_000tc__Option__Ooption_Itc__Type__Oty_J_00,axiom,
    ! [P,Q,R] : hAPP_l512744617ion_ty(hAPP_f359949478ion_ty(hAPP_f1243585741ion_ty(cOMBB_1888336841t_char,P),Q),R) = hAPP_ty_option_ty(P,hAPP_list_char_ty(Q,R)),
    file('theBenchmark.p',help_COMBB_1_1_COMBB_000tc__Type__Oty_000tc__Option__Ooption_Itc__Type__Oty_J_00) ).

fof(help_COMBC_1_1_COMBC_000tc__List__Olist_Itc__String__Ochar_J_000tc__Option__Oopt,axiom,
    ! [P,Q,R] : hAPP_list_char_bool(hAPP_o453398608r_bool(hAPP_f399018025r_bool(cOMBC_442485623l_bool,P),Q),R) = hAPP_option_val_bool(hAPP_l1646953198l_bool(P,R),Q),
    file('theBenchmark.p',help_COMBC_1_1_COMBC_000tc__List__Olist_Itc__String__Ochar_J_000tc__Option__Oopt) ).

fof(help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Oboo_033,axiom,
    ! [P,Q,R] : hAPP_l2010421276l_bool(hAPP_f1163760061l_bool(hAPP_f1157863905l_bool(cOMBB_984708934t_char,P),Q),R) = hAPP_b589554111l_bool(P,hAPP_list_char_bool(Q,R)),
    file('theBenchmark.p',help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Oboo_033) ).

fof(help_COMBC_1_1_COMBC_000tc__Value__Oval_000tc__fun_Itc__prod_Itc__Value__Oval_Mt,axiom,
    ! [P,Q,R] : hAPP_val_bool(hAPP_f1728541444l_bool(hAPP_f1764548711l_bool(cOMBC_331963401l_bool,P),Q),R) = hAPP_f2028441009l_bool(hAPP_v3604996l_bool(P,R),Q),
    file('theBenchmark.p',help_COMBC_1_1_COMBC_000tc__Value__Oval_000tc__fun_Itc__prod_Itc__Value__Oval_Mt) ).

fof(help_COMBC_1_1_COMBC_000tc__List__Olist_Itc__String__Ochar_J_000tc__fun_Itc__Lis,axiom,
    ! [P,Q,R] : hAPP_list_char_bool(hAPP_f1371002581r_bool(hAPP_f522372661r_bool(cOMBC_892477410l_bool,P),Q),R) = hAPP_f986089162l_bool(hAPP_l1903254203l_bool(P,R),Q),
    file('theBenchmark.p',help_COMBC_1_1_COMBC_000tc__List__Olist_Itc__String__Ochar_J_000tc__fun_Itc__Lis) ).

fof(help_COMBS_1_1_COMBS_000tc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__List,axiom,
    ! [P,Q,R] : hAPP_P449474095r_bool(cOMBS_350755140l_bool(P,Q),R) = hAPP_bool_bool(hAPP_P1457625805l_bool(P,R),hAPP_P449474095r_bool(Q,R)),
    file('theBenchmark.p',help_COMBS_1_1_COMBS_000tc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__List) ).

fof(help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__HOL__Obool_000tc__fun_Itc__List__O,axiom,
    ! [P,Q,R] : hAPP_f1033709212l_bool(hAPP_f1074020887l_bool(hAPP_f1863694447l_bool(cOMBB_383678192on_val,P),Q),R) = hAPP_bool_bool(P,hAPP_f1033709212l_bool(Q,R)),
    file('theBenchmark.p',help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__HOL__Obool_000tc__fun_Itc__List__O) ).

fof(help_COMBK_1_1_COMBK_000tc__Option__Ooption_Itc__Value__Oval_J_000tc__prod_Itc__,axiom,
    ! [P,Q] : hAPP_P2094403585on_val(hAPP_o1269033393on_val(cOMBK_1867744698t_char,P),Q) = P,
    file('theBenchmark.p',help_COMBK_1_1_COMBK_000tc__Option__Ooption_Itc__Value__Oval_J_000tc__prod_Itc__) ).

fof(help_COMBC_1_1_COMBC_000tc__Value__Oval_000tc__fun_Itc__prod_Itc__Value__Oval_Mt_034,axiom,
    ! [P,Q,R] : hAPP_v1392248405l_bool(hAPP_f198821591l_bool(hAPP_f1880802701l_bool(cOMBC_1979963740l_bool,P),Q),R) = hAPP_f1728541444l_bool(hAPP_v1988122071l_bool(P,R),Q),
    file('theBenchmark.p',help_COMBC_1_1_COMBC_000tc__Value__Oval_000tc__fun_Itc__prod_Itc__Value__Oval_Mt_034) ).

fof(help_COMBB_1_1_COMBB_000tc__Option__Ooption_Itc__Value__Oval_J_000tc__fun_Itc__O,axiom,
    ! [P,Q,R] : hAPP_l1646953198l_bool(hAPP_f396807521l_bool(hAPP_f926979333l_bool(cOMBB_1112666310t_char,P),Q),R) = hAPP_o586881855l_bool(P,hAPP_l207779698on_val(Q,R)),
    file('theBenchmark.p',help_COMBB_1_1_COMBB_000tc__Option__Ooption_Itc__Value__Oval_J_000tc__fun_Itc__O) ).

fof(help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Oboo_035,axiom,
    ! [P,Q,R] : hAPP_P1457625805l_bool(hAPP_f644972157l_bool(hAPP_f722872225l_bool(cOMBB_1643767893t_char,P),Q),R) = hAPP_b589554111l_bool(P,hAPP_P449474095r_bool(Q,R)),
    file('theBenchmark.p',help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Oboo_035) ).

fof(help_COMBB_1_1_COMBB_000tc__prod_Itc__Value__Oval_Mtc__Value__Oval_J_000tc__fun_,axiom,
    ! [P,Q,R] : hAPP_v3604996l_bool(hAPP_f1394668591l_bool(hAPP_f183649339l_bool(cOMBB_2078984970ol_val,P),Q),R) = hAPP_P530382601l_bool(P,hAPP_v852496844al_val(Q,R)),
    file('theBenchmark.p',help_COMBB_1_1_COMBB_000tc__prod_Itc__Value__Oval_Mtc__Value__Oval_J_000tc__fun_) ).

fof(help_COMBC_1_1_COMBC_000tc__prod_Itc__Value__Oval_Mtc__Value__Oval_J_000tc__fun_,axiom,
    ! [P,Q,R] : hAPP_P929938951l_bool(hAPP_f1335946228l_bool(hAPP_f263393637l_bool(cOMBC_813705475l_bool,P),Q),R) = hAPP_f742333458l_bool(hAPP_P1614880106l_bool(P,R),Q),
    file('theBenchmark.p',help_COMBC_1_1_COMBC_000tc__prod_Itc__Value__Oval_Mtc__Value__Oval_J_000tc__fun_) ).

fof(help_COMBC_1_1_COMBC_000tc__List__Olist_Itc__String__Ochar_J_000tc__fun_Itc__pro,axiom,
    ! [P,Q,R] : hAPP_list_char_bool(hAPP_f335969926r_bool(hAPP_f1367982615r_bool(cOMBC_1603044337l_bool,P),Q),R) = hAPP_f2106398425l_bool(hAPP_l553007690l_bool(P,R),Q),
    file('theBenchmark.p',help_COMBC_1_1_COMBC_000tc__List__Olist_Itc__String__Ochar_J_000tc__fun_Itc__pro) ).

fof(help_COMBK_1_1_COMBK_000tc__Option__Ooption_Itc__Type__Oty_J_000tc__fun_Itc__pro,axiom,
    ! [P,Q] : hAPP_f652398900ion_ty(hAPP_o534509643ion_ty(cOMBK_184479553on_val,P),Q) = P,
    file('theBenchmark.p',help_COMBK_1_1_COMBK_000tc__Option__Ooption_Itc__Type__Oty_J_000tc__fun_Itc__pro) ).

fof(help_COMBC_1_1_COMBC_000tc__Expr__Obop_000tc__fun_Itc__prod_Itc__Expr__Obop_Mtc_,axiom,
    ! [P,Q,R] : hAPP_b97269396l_bool(hAPP_f257113085l_bool(hAPP_f1100052969l_bool(cOMBC_199425070l_bool,P),Q),R) = hAPP_f1335946228l_bool(hAPP_b1257035143l_bool(P,R),Q),
    file('theBenchmark.p',help_COMBC_1_1_COMBC_000tc__Expr__Obop_000tc__fun_Itc__prod_Itc__Expr__Obop_Mtc_) ).

fof(help_COMBC_1_1_COMBC_000tc__fun_Itc__List__Olist_Itc__String__Ochar_J_Mtc__Optio,axiom,
    ! [P,Q,R] : hAPP_f1033709212l_bool(hAPP_f603925568l_bool(hAPP_f181262431l_bool(cOMBC_832625297y_bool,P),Q),R) = hAPP_f1001225811y_bool(hAPP_f2060496320y_bool(P,R),Q),
    file('theBenchmark.p',help_COMBC_1_1_COMBC_000tc__fun_Itc__List__Olist_Itc__String__Ochar_J_Mtc__Optio) ).

fof(help_COMBC_1_1_COMBC_000tc__Expr__Oexp_Itc__List__Olist_Itc__String__Ochar_J_J_0,axiom,
    ! [P,Q,R] : hAPP_e544220455r_bool(hAPP_f1724656343r_bool(hAPP_f388097003r_bool(cOMBC_818212448l_bool,P),Q),R) = hAPP_f1314764175l_bool(hAPP_e53687815l_bool(P,R),Q),
    file('theBenchmark.p',help_COMBC_1_1_COMBC_000tc__Expr__Oexp_Itc__List__Olist_Itc__String__Ochar_J_J_0) ).

fof(help_fequal_1_1_fequal_000tc__Option__Ooption_Itc__prod_Itc__List__Olist_Itc__St,axiom,
    ! [X,Y] :
      ( X = Y
      | ~ hBOOL(hAPP_o2007402111l_bool(hAPP_o1968908095l_bool(fequal1937332960on_val,X),Y)) ),
    file('theBenchmark.p',help_fequal_1_1_fequal_000tc__Option__Ooption_Itc__prod_Itc__List__Olist_Itc__St) ).

fof(help_fequal_2_1_fequal_000tc__Option__Ooption_Itc__prod_Itc__List__Olist_Itc__St,axiom,
    ! [X,Y] :
      ( hBOOL(hAPP_o2007402111l_bool(hAPP_o1968908095l_bool(fequal1937332960on_val,X),Y))
      | X != Y ),
    file('theBenchmark.p',help_fequal_2_1_fequal_000tc__Option__Ooption_Itc__prod_Itc__List__Olist_Itc__St) ).

fof(help_COMBC_1_1_COMBC_000tc__List__Olist_Itc__String__Ochar_J_000tc__fun_Itc__pro_036,axiom,
    ! [P,Q,R] : hAPP_l1361600383r_bool(hAPP_f344506159r_bool(hAPP_f447563647r_bool(cOMBC_389248878r_bool,P),Q),R) = hAPP_f335969926r_bool(hAPP_l1335043179r_bool(P,R),Q),
    file('theBenchmark.p',help_COMBC_1_1_COMBC_000tc__List__Olist_Itc__String__Ochar_J_000tc__fun_Itc__pro_036) ).

fof(help_COMBB_1_1_COMBB_000tc__fun_Itc__Value__Oval_Mtc__prod_Itc__Value__Oval_Mtc_,axiom,
    ! [P,Q,R] : hAPP_v417179479l_bool(hAPP_f293485653l_bool(hAPP_f565735867l_bool(cOMBB_815843940ol_val,P),Q),R) = hAPP_f1394668591l_bool(P,hAPP_v1519391al_val(Q,R)),
    file('theBenchmark.p',help_COMBB_1_1_COMBB_000tc__fun_Itc__Value__Oval_Mtc__prod_Itc__Value__Oval_Mtc_) ).

fof(help_COMBC_1_1_COMBC_000tc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__List,axiom,
    ! [P,Q,R] : hAPP_P449474095r_bool(hAPP_f112056853r_bool(hAPP_f1876889431r_bool(cOMBC_148995234l_bool,P),Q),R) = hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(P,R),Q),
    file('theBenchmark.p',help_COMBC_1_1_COMBC_000tc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__List) ).

fof(help_COMBC_1_1_COMBC_000tc__Expr__Oexp_Itc__List__Olist_Itc__String__Ochar_J_J_0_037,axiom,
    ! [P,Q,R] : hAPP_e544220455r_bool(hAPP_f1466436665r_bool(hAPP_f1766231913r_bool(cOMBC_220519196l_bool,P),Q),R) = hAPP_f82569901l_bool(hAPP_e1303556805l_bool(P,R),Q),
    file('theBenchmark.p',help_COMBC_1_1_COMBC_000tc__Expr__Oexp_Itc__List__Olist_Itc__String__Ochar_J_J_0_037) ).

fof(help_COMBK_1_1_COMBK_000tc__Option__Ooption_Itc__prod_Itc__List__Olist_Itc__Stri,axiom,
    ! [P,Q] : hAPP_n546249108on_val(hAPP_o1576581476on_val(cOMBK_1944287343al_nat,P),Q) = P,
    file('theBenchmark.p',help_COMBK_1_1_COMBK_000tc__Option__Ooption_Itc__prod_Itc__List__Olist_Itc__Stri) ).

fof(help_COMBC_1_1_COMBC_000tc__Nat__Onat_000tc__Option__Ooption_Itc__prod_Itc__List,axiom,
    ! [P,Q,R] : hAPP_nat_bool(hAPP_o1566711458t_bool(hAPP_f489569861t_bool(cOMBC_229530231l_bool,P),Q),R) = hAPP_o2007402111l_bool(hAPP_n95946796l_bool(P,R),Q),
    file('theBenchmark.p',help_COMBC_1_1_COMBC_000tc__Nat__Onat_000tc__Option__Ooption_Itc__prod_Itc__List) ).

fof(help_COMBB_1_1_COMBB_000tc__prod_Itc__Expr__Obop_Mtc__prod_Itc__Value__Oval_Mtc_,axiom,
    ! [P,Q,R] : hAPP_P1614880106l_bool(hAPP_f1646911885l_bool(hAPP_f62511709l_bool(cOMBB_2139740953al_val,P),Q),R) = hAPP_P1653675595l_bool(P,hAPP_P929466802al_val(Q,R)),
    file('theBenchmark.p',help_COMBB_1_1_COMBB_000tc__prod_Itc__Expr__Obop_Mtc__prod_Itc__Value__Oval_Mtc_) ).

fof(help_COMBC_1_1_COMBC_000tc__List__Olist_Itc__Value__Oval_J_000tc__fun_Itc__prod_,axiom,
    ! [P,Q,R] : hAPP_l1062423959r_bool(hAPP_f1051205629r_bool(hAPP_f987862447r_bool(cOMBC_1387630958r_bool,P),Q),R) = hAPP_f1724656343r_bool(hAPP_l296209613r_bool(P,R),Q),
    file('theBenchmark.p',help_COMBC_1_1_COMBC_000tc__List__Olist_Itc__Value__Oval_J_000tc__fun_Itc__prod_) ).

fof(help_COMBB_1_1_COMBB_000tc__Option__Ooption_Itc__Type__Oty_J_000tc__fun_Itc__fun,axiom,
    ! [P,Q,R] : hAPP_l2000496933ion_ty(hAPP_f451501457ion_ty(hAPP_f509342689ion_ty(cOMBB_352765746t_char,P),Q),R) = hAPP_o534509643ion_ty(P,hAPP_l512744617ion_ty(Q,R)),
    file('theBenchmark.p',help_COMBB_1_1_COMBB_000tc__Option__Ooption_Itc__Type__Oty_J_000tc__fun_Itc__fun) ).

fof(help_COMBB_1_1_COMBB_000tc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__List,axiom,
    ! [P,Q,R] : hAPP_l553007690l_bool(hAPP_f558380429l_bool(hAPP_f144783951l_bool(cOMBB_1586673472t_char,P),Q),R) = hAPP_P1180869721l_bool(P,hAPP_l2100324114t_char(Q,R)),
    file('theBenchmark.p',help_COMBB_1_1_COMBB_000tc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__List) ).

fof(help_COMBB_1_1_COMBB_000tc__fun_Itc__Value__Oval_Mtc__fun_Itc__fun_Itc__prod_Itc,axiom,
    ! [P,Q,R] : hAPP_v1988122071l_bool(hAPP_f1859053709l_bool(hAPP_f400269243l_bool(cOMBB_1701031980ol_val,P),Q),R) = hAPP_f1764548711l_bool(P,hAPP_v417179479l_bool(Q,R)),
    file('theBenchmark.p',help_COMBB_1_1_COMBB_000tc__fun_Itc__Value__Oval_Mtc__fun_Itc__fun_Itc__prod_Itc) ).

fof(help_COMBS_1_1_COMBS_000tc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__prod,axiom,
    ! [P,Q,R] : hAPP_P1384137393r_bool(cOMBS_1743887558l_bool(P,Q),R) = hAPP_bool_bool(hAPP_P415257547l_bool(P,R),hAPP_P1384137393r_bool(Q,R)),
    file('theBenchmark.p',help_COMBS_1_1_COMBS_000tc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__prod) ).

fof(help_COMBC_1_1_COMBC_000tc__List__Olist_Itc__List__Olist_Itc__String__Ochar_J_J_,axiom,
    ! [P,Q,R] : hAPP_l214204733r_bool(hAPP_f2091926485r_bool(hAPP_f1820115955r_bool(cOMBC_790582442r_bool,P),Q),R) = hAPP_f1466436665r_bool(hAPP_l753659065r_bool(P,R),Q),
    file('theBenchmark.p',help_COMBC_1_1_COMBC_000tc__List__Olist_Itc__List__Olist_Itc__String__Ochar_J_J_) ).

fof(help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Oboo_038,axiom,
    ! [P,Q,R] : hAPP_f1145256474l_bool(hAPP_f1452292669l_bool(hAPP_f1977633121l_bool(cOMBB_1303934920on_val,P),Q),R) = hAPP_b589554111l_bool(P,hAPP_f61040418l_bool(Q,R)),
    file('theBenchmark.p',help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Oboo_038) ).

fof(help_COMBC_1_1_COMBC_000tc__prod_Itc__List__Olist_Itc__Value__Oval_J_Mtc__Expr__,axiom,
    ! [P,Q,R] : hAPP_P2118621157r_bool(hAPP_f1298720864r_bool(hAPP_f225832321r_bool(cOMBC_1365742487l_bool,P),Q),R) = hAPP_f1746574980l_bool(hAPP_P2028292026l_bool(P,R),Q),
    file('theBenchmark.p',help_COMBC_1_1_COMBC_000tc__prod_Itc__List__Olist_Itc__Value__Oval_J_Mtc__Expr__) ).

fof(help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Oboo_039,axiom,
    ! [P,Q,R] : hAPP_P415257547l_bool(hAPP_f1985672189l_bool(hAPP_f1169733153l_bool(cOMBB_565990871t_char,P),Q),R) = hAPP_b589554111l_bool(P,hAPP_P1384137393r_bool(Q,R)),
    file('theBenchmark.p',help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Oboo_039) ).

fof(help_COMBB_1_1_COMBB_000tc__prod_Itc__List__Olist_Itc__Value__Oval_J_Mtc__Expr__,axiom,
    ! [P,Q,R] : hAPP_e53687815l_bool(hAPP_f361629773l_bool(hAPP_f1612138403l_bool(cOMBB_961360819t_char,P),Q),R) = hAPP_P845017029l_bool(P,hAPP_e1752110927t_char(Q,R)),
    file('theBenchmark.p',help_COMBB_1_1_COMBB_000tc__prod_Itc__List__Olist_Itc__Value__Oval_J_Mtc__Expr__) ).

fof(help_COMBB_1_1_COMBB_000tc__fun_Itc__prod_Itc__Value__Oval_Mtc__Value__Oval_J_Mt,axiom,
    ! [P,Q,R] : hAPP_b406740087l_bool(hAPP_f866074145l_bool(hAPP_f877616419l_bool(cOMBB_1458388806ol_bop,P),Q),R) = hAPP_f1646911885l_bool(P,hAPP_b1229254591al_val(Q,R)),
    file('theBenchmark.p',help_COMBB_1_1_COMBB_000tc__fun_Itc__prod_Itc__Value__Oval_Mtc__Value__Oval_J_Mt) ).

fof(help_COMBC_1_1_COMBC_000tc__List__Olist_Itc__Type__Oty_J_000tc__fun_Itc__prod_It,axiom,
    ! [P,Q,R] : hAPP_l1987619678r_bool(hAPP_f2071340985r_bool(hAPP_f133320957r_bool(cOMBC_1127703214r_bool,P),Q),R) = hAPP_f1298720864r_bool(hAPP_l96108383r_bool(P,R),Q),
    file('theBenchmark.p',help_COMBC_1_1_COMBC_000tc__List__Olist_Itc__Type__Oty_J_000tc__fun_Itc__prod_It) ).

fof(help_COMBB_1_1_COMBB_000tc__prod_Itc__List__Olist_Itc__List__Olist_Itc__String__,axiom,
    ! [P,Q,R] : hAPP_e1303556805l_bool(hAPP_f901718717l_bool(hAPP_f380623487l_bool(cOMBB_1033145403t_char,P),Q),R) = hAPP_P1293136973l_bool(P,hAPP_e952791821t_char(Q,R)),
    file('theBenchmark.p',help_COMBB_1_1_COMBB_000tc__prod_Itc__List__Olist_Itc__List__Olist_Itc__String__) ).

fof(help_COMBB_1_1_COMBB_000tc__fun_Itc__List__Olist_Itc__String__Ochar_J_Mtc__prod_,axiom,
    ! [P,Q,R] : hAPP_l1425867561l_bool(hAPP_f1764180741l_bool(hAPP_f247798919l_bool(cOMBB_526805108t_char,P),Q),R) = hAPP_f558380429l_bool(P,hAPP_l208357873t_char(Q,R)),
    file('theBenchmark.p',help_COMBB_1_1_COMBB_000tc__fun_Itc__List__Olist_Itc__String__Ochar_J_Mtc__prod_) ).

fof(help_COMBB_1_1_COMBB_000tc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__fun_,axiom,
    ! [P,Q,R] : hAPP_f652398900ion_ty(hAPP_f2110071953ion_ty(hAPP_f69964139ion_ty(cOMBB_2041093409on_val,P),Q),R) = hAPP_P1228500987ion_ty(P,hAPP_f900686428on_val(Q,R)),
    file('theBenchmark.p',help_COMBB_1_1_COMBB_000tc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__fun_) ).

fof(help_COMBC_1_1_COMBC_000tc__fun_Itc__prod_Itc__List__Olist_Itc__String__Ochar_J_,axiom,
    ! [P,Q,R] : hAPP_f1715346603l_bool(hAPP_f1579743228l_bool(hAPP_f1166017719l_bool(cOMBC_317789649l_bool,P),Q),R) = hAPP_f1134950784l_bool(hAPP_f749178132l_bool(P,R),Q),
    file('theBenchmark.p',help_COMBC_1_1_COMBC_000tc__fun_Itc__prod_Itc__List__Olist_Itc__String__Ochar_J_) ).

fof(help_COMBB_1_1_COMBB_000tc__fun_Itc__prod_Itc__Value__Oval_Mtc__Value__Oval_J_Mt_040,axiom,
    ! [P,Q,R] : hAPP_b1257035143l_bool(hAPP_f2100207721l_bool(hAPP_f1374595987l_bool(cOMBB_761748254ol_bop,P),Q),R) = hAPP_f263393637l_bool(P,hAPP_b406740087l_bool(Q,R)),
    file('theBenchmark.p',help_COMBB_1_1_COMBB_000tc__fun_Itc__prod_Itc__Value__Oval_Mtc__Value__Oval_J_Mt_040) ).

fof(help_COMBC_1_1_COMBC_000tc__prod_Itc__List__Olist_Itc__Type__Oty_J_Mtc__prod_Itc,axiom,
    ! [P,Q,R] : hAPP_P1907982426r_bool(hAPP_f1874697593r_bool(hAPP_f1707979241r_bool(cOMBC_407285762l_bool,P),Q),R) = hAPP_f1780084320l_bool(hAPP_P1562529797l_bool(P,R),Q),
    file('theBenchmark.p',help_COMBC_1_1_COMBC_000tc__prod_Itc__List__Olist_Itc__Type__Oty_J_Mtc__prod_Itc) ).

fof(help_COMBB_1_1_COMBB_000tc__fun_Itc__List__Olist_Itc__String__Ochar_J_Mtc__fun_I,axiom,
    ! [P,Q,R] : hAPP_l1335043179r_bool(hAPP_f1032444159r_bool(hAPP_f254182519r_bool(cOMBB_1551681790t_char,P),Q),R) = hAPP_f1367982615r_bool(P,hAPP_l1425867561l_bool(Q,R)),
    file('theBenchmark.p',help_COMBB_1_1_COMBB_000tc__fun_Itc__List__Olist_Itc__String__Ochar_J_Mtc__fun_I) ).

fof(help_COMBC_1_1_COMBC_000tc__List__Olist_Itc__String__Ochar_J_000tc__fun_Itc__pro_041,axiom,
    ! [P,Q,R] : hAPP_l465799708l_bool(hAPP_f2080627739l_bool(hAPP_f350189921l_bool(cOMBC_1535683812l_bool,P),Q),R) = hAPP_f1579743228l_bool(hAPP_l1739862107l_bool(P,R),Q),
    file('theBenchmark.p',help_COMBC_1_1_COMBC_000tc__List__Olist_Itc__String__Ochar_J_000tc__fun_Itc__pro_041) ).

fof(help_COMBB_1_1_COMBB_000tc__fun_Itc__Expr__Oexp_Itc__List__Olist_Itc__String__Oc,axiom,
    ! [P,Q,R] : hAPP_l1842007287l_bool(hAPP_f2118054305l_bool(hAPP_f1687138147l_bool(cOMBB_2078271971st_val,P),Q),R) = hAPP_f361629773l_bool(P,hAPP_l1859255743t_char(Q,R)),
    file('theBenchmark.p',help_COMBB_1_1_COMBB_000tc__fun_Itc__Expr__Oexp_Itc__List__Olist_Itc__String__Oc) ).

fof(help_COMBC_1_1_COMBC_000tc__fun_Itc__Nat__Onat_Mtc__Option__Ooption_Itc__prod_It,axiom,
    ! [P,Q,R] : hAPP_f1175813647l_bool(hAPP_f550652027l_bool(hAPP_f838396643l_bool(cOMBC_2027949654l_bool,P),Q),R) = hAPP_f603925568l_bool(hAPP_f1617787571l_bool(P,R),Q),
    file('theBenchmark.p',help_COMBC_1_1_COMBC_000tc__fun_Itc__Nat__Onat_Mtc__Option__Ooption_Itc__prod_It) ).

fof(help_COMBB_1_1_COMBB_000tc__prod_Itc__fun_Itc__Nat__Onat_Mtc__Option__Ooption_It,axiom,
    ! [P,Q,R] : hAPP_f1033709212l_bool(hAPP_f1008932791l_bool(hAPP_f2057883639l_bool(cOMBB_1750801836on_val,P),Q),R) = hAPP_P159683425l_bool(P,hAPP_f1727192346on_val(Q,R)),
    file('theBenchmark.p',help_COMBB_1_1_COMBB_000tc__prod_Itc__fun_Itc__Nat__Onat_Mtc__Option__Ooption_It) ).

fof(help_COMBB_1_1_COMBB_000tc__prod_Itc__List__Olist_Itc__Type__Oty_J_Mtc__prod_Itc,axiom,
    ! [P,Q,R] : hAPP_P2028292026l_bool(hAPP_f921434893l_bool(hAPP_f693085049l_bool(cOMBB_147773915t_char,P),Q),R) = hAPP_P1198052655l_bool(P,hAPP_P1392904962t_char(Q,R)),
    file('theBenchmark.p',help_COMBB_1_1_COMBB_000tc__prod_Itc__List__Olist_Itc__Type__Oty_J_Mtc__prod_Itc) ).

fof(help_COMBB_1_1_COMBB_000tc__Option__Ooption_Itc__prod_Itc__List__Olist_Itc__Stri,axiom,
    ! [P,Q,R] : hAPP_n95946796l_bool(hAPP_f1677329295l_bool(hAPP_f1611569977l_bool(cOMBB_731867268ol_nat,P),Q),R) = hAPP_o1968908095l_bool(P,hAPP_n546249108on_val(Q,R)),
    file('theBenchmark.p',help_COMBB_1_1_COMBB_000tc__Option__Ooption_Itc__prod_Itc__List__Olist_Itc__Stri) ).

fof(help_COMBB_1_1_COMBB_000tc__fun_Itc__fun_Itc__List__Olist_Itc__String__Ochar_J_M,axiom,
    ! [P,Q,R] : hAPP_f1175813647l_bool(hAPP_f555424277l_bool(hAPP_f1734879897l_bool(cOMBB_1522540928on_val,P),Q),R) = hAPP_f1074020887l_bool(P,hAPP_f1175813647l_bool(Q,R)),
    file('theBenchmark.p',help_COMBB_1_1_COMBB_000tc__fun_Itc__fun_Itc__List__Olist_Itc__String__Ochar_J_M) ).

fof(help_COMBS_1_1_COMBS_000tc__fun_Itc__Nat__Onat_Mtc__Option__Ooption_Itc__prod_It,axiom,
    ! [P,Q,R] : hAPP_f1175813647l_bool(cOMBS_570216337l_bool(P,Q),R) = hAPP_f1074020887l_bool(hAPP_f1492320500l_bool(P,R),hAPP_f1175813647l_bool(Q,R)),
    file('theBenchmark.p',help_COMBS_1_1_COMBS_000tc__fun_Itc__Nat__Onat_Mtc__Option__Ooption_Itc__prod_It) ).

fof(help_COMBC_1_1_COMBC_000tc__fun_Itc__List__Olist_Itc__String__Ochar_J_Mtc__Optio_042,axiom,
    ! [P,Q,R] : hAPP_f1033709212l_bool(hAPP_f33142364l_bool(hAPP_f510152537l_bool(cOMBC_1518234801l_bool,P),Q),R) = hAPP_f966411375l_bool(hAPP_f720086610l_bool(P,R),Q),
    file('theBenchmark.p',help_COMBC_1_1_COMBC_000tc__fun_Itc__List__Olist_Itc__String__Ochar_J_Mtc__Optio_042) ).

fof(help_COMBC_1_1_COMBC_000tc__List__Olist_Itc__List__Olist_Itc__String__Ochar_J_J__043,axiom,
    ! [P,Q,R] : hAPP_l217977712r_bool(hAPP_f1044627221r_bool(hAPP_f308875635r_bool(cOMBC_1718404842r_bool,P),Q),R) = hAPP_f1874697593r_bool(hAPP_l1783480313r_bool(P,R),Q),
    file('theBenchmark.p',help_COMBC_1_1_COMBC_000tc__List__Olist_Itc__List__Olist_Itc__String__Ochar_J_J__043) ).

fof(help_COMBB_1_1_COMBB_000tc__fun_Itc__Expr__Oexp_Itc__List__Olist_Itc__String__Oc_044,axiom,
    ! [P,Q,R] : hAPP_l296209613r_bool(hAPP_f1449341487r_bool(hAPP_f1823921107r_bool(cOMBB_308691073st_val,P),Q),R) = hAPP_f388097003r_bool(P,hAPP_l1842007287l_bool(Q,R)),
    file('theBenchmark.p',help_COMBB_1_1_COMBB_000tc__fun_Itc__Expr__Oexp_Itc__List__Olist_Itc__String__Oc_044) ).

fof(help_COMBC_1_1_COMBC_000tc__prod_Itc__List__Olist_Itc__Type__Oty_J_Mtc__prod_Itc_045,axiom,
    ! [P,Q,R] : hAPP_P1187139874r_bool(hAPP_f279818502r_bool(hAPP_f1419180947r_bool(cOMBC_390659185l_bool,P),Q),R) = hAPP_f483496539l_bool(hAPP_P1383068750l_bool(P,R),Q),
    file('theBenchmark.p',help_COMBC_1_1_COMBC_000tc__prod_Itc__List__Olist_Itc__Type__Oty_J_Mtc__prod_Itc_045) ).

fof(help_COMBB_1_1_COMBB_000tc__fun_Itc__Expr__Oexp_Itc__List__Olist_Itc__String__Oc_046,axiom,
    ! [P,Q,R] : hAPP_l551544901l_bool(hAPP_f165071409l_bool(hAPP_f1174637065l_bool(cOMBB_33167485t_char,P),Q),R) = hAPP_f901718717l_bool(P,hAPP_l796364813t_char(Q,R)),
    file('theBenchmark.p',help_COMBB_1_1_COMBB_000tc__fun_Itc__Expr__Oexp_Itc__List__Olist_Itc__String__Oc_046) ).

fof(help_COMBS_1_1_COMBS_000tc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__prod_047,axiom,
    ! [P,Q,R] : hAPP_P1680401186r_bool(cOMBS_635570165l_bool(P,Q),R) = hAPP_bool_bool(hAPP_P1552072218l_bool(P,R),hAPP_P1680401186r_bool(Q,R)),
    file('theBenchmark.p',help_COMBS_1_1_COMBS_000tc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__prod_047) ).

fof(help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Oboo_048,axiom,
    ! [P,Q,R] : hAPP_P1552072218l_bool(hAPP_f561246575l_bool(hAPP_f321462169l_bool(cOMBB_808210516t_char,P),Q),R) = hAPP_b589554111l_bool(P,hAPP_P1680401186r_bool(Q,R)),
    file('theBenchmark.p',help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Oboo_048) ).

fof(help_COMBB_1_1_COMBB_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Obool_J_000tc__fun_Itc,axiom,
    ! [P,Q,R] : hAPP_f1492320500l_bool(hAPP_f1523875321l_bool(hAPP_f592397849l_bool(cOMBB_1718333400on_val,P),Q),R) = hAPP_f1863694447l_bool(P,hAPP_f1145256474l_bool(Q,R)),
    file('theBenchmark.p',help_COMBB_1_1_COMBB_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Obool_J_000tc__fun_Itc) ).

fof(help_COMBC_1_1_COMBC_000tc__List__Olist_Itc__String__Ochar_J_000tc__fun_Itc__pro_049,axiom,
    ! [P,Q,R] : hAPP_l165010689r_bool(hAPP_f1209019955r_bool(hAPP_f521496323r_bool(cOMBC_654453230r_bool,P),Q),R) = hAPP_f279818502r_bool(hAPP_l2053770731r_bool(P,R),Q),
    file('theBenchmark.p',help_COMBC_1_1_COMBC_000tc__List__Olist_Itc__String__Ochar_J_000tc__fun_Itc__pro_049) ).

fof(help_COMBC_1_1_COMBC_000tc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__prod,axiom,
    ! [P,Q,R] : hAPP_P1384137393r_bool(hAPP_f1853572245r_bool(hAPP_f1933376467r_bool(cOMBC_36589090l_bool,P),Q),R) = hAPP_f483496539l_bool(hAPP_P7095645l_bool(P,R),Q),
    file('theBenchmark.p',help_COMBC_1_1_COMBC_000tc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__prod) ).

fof(help_COMBB_1_1_COMBB_000tc__fun_Itc__Expr__Oexp_Itc__List__Olist_Itc__String__Oc_050,axiom,
    ! [P,Q,R] : hAPP_l753659065r_bool(hAPP_f2059406941r_bool(hAPP_f108089737r_bool(cOMBB_2143526097t_char,P),Q),R) = hAPP_f1766231913r_bool(P,hAPP_l551544901l_bool(Q,R)),
    file('theBenchmark.p',help_COMBB_1_1_COMBB_000tc__fun_Itc__Expr__Oexp_Itc__List__Olist_Itc__String__Oc_050) ).

fof(help_COMBB_1_1_COMBB_000tc__fun_Itc__fun_Itc__prod_Itc__List__Olist_Itc__String_,axiom,
    ! [P,Q,R] : hAPP_l2000496933ion_ty(hAPP_f802560783ion_ty(hAPP_f7643013ion_ty(cOMBB_864319000t_char,P),Q),R) = hAPP_f2110071953ion_ty(P,hAPP_l1786340417on_val(Q,R)),
    file('theBenchmark.p',help_COMBB_1_1_COMBB_000tc__fun_Itc__fun_Itc__prod_Itc__List__Olist_Itc__String_) ).

fof(help_COMBB_1_1_COMBB_000tc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__fun__051,axiom,
    ! [P,Q,R] : hAPP_f749178132l_bool(hAPP_f1099622285l_bool(hAPP_f919000597l_bool(cOMBB_1153773871on_val,P),Q),R) = hAPP_P1217996045l_bool(P,hAPP_f900686428on_val(Q,R)),
    file('theBenchmark.p',help_COMBB_1_1_COMBB_000tc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__fun__051) ).

fof(help_COMBB_1_1_COMBB_000tc__fun_Itc__prod_Itc__List__Olist_Itc__Value__Oval_J_Mt,axiom,
    ! [P,Q,R] : hAPP_l1117138611l_bool(hAPP_f2047757465l_bool(hAPP_f466945179l_bool(cOMBB_68065882ist_ty,P),Q),R) = hAPP_f921434893l_bool(P,hAPP_l14371579t_char(Q,R)),
    file('theBenchmark.p',help_COMBB_1_1_COMBB_000tc__fun_Itc__prod_Itc__List__Olist_Itc__Value__Oval_J_Mt) ).

fof(help_COMBB_1_1_COMBB_000tc__prod_Itc__List__Olist_Itc__List__Olist_Itc__String___052,axiom,
    ! [P,Q,R] : hAPP_P1562529797l_bool(hAPP_f1233028029l_bool(hAPP_f1715733055l_bool(cOMBB_123628846t_char,P),Q),R) = hAPP_P1472618637l_bool(P,hAPP_P767818445t_char(Q,R)),
    file('theBenchmark.p',help_COMBB_1_1_COMBB_000tc__prod_Itc__List__Olist_Itc__List__Olist_Itc__String___052) ).

fof(help_COMBB_1_1_COMBB_000tc__fun_Itc__fun_Itc__List__Olist_Itc__String__Ochar_J_M_053,axiom,
    ! [P,Q,R] : hAPP_f1617787571l_bool(hAPP_f857351829l_bool(hAPP_f348318673l_bool(cOMBB_1518282696on_val,P),Q),R) = hAPP_f181262431l_bool(P,hAPP_f1213370163y_bool(Q,R)),
    file('theBenchmark.p',help_COMBB_1_1_COMBB_000tc__fun_Itc__fun_Itc__List__Olist_Itc__String__Ochar_J_M_053) ).

fof(help_COMBB_1_1_COMBB_000tc__fun_Itc__prod_Itc__List__Olist_Itc__Value__Oval_J_Mt_054,axiom,
    ! [P,Q,R] : hAPP_l96108383r_bool(hAPP_f1608277885r_bool(hAPP_f1134248971r_bool(cOMBB_338473166ist_ty,P),Q),R) = hAPP_f225832321r_bool(P,hAPP_l1117138611l_bool(Q,R)),
    file('theBenchmark.p',help_COMBB_1_1_COMBB_000tc__fun_Itc__prod_Itc__List__Olist_Itc__Value__Oval_J_Mt_054) ).

fof(help_COMBC_1_1_COMBC_000tc__List__Olist_Itc__prod_Itc__List__Olist_Itc__String__,axiom,
    ! [P,Q,R] : hAPP_l902158906r_bool(hAPP_f605643693r_bool(hAPP_f841257045r_bool(cOMBC_1407716098l_bool,P),Q),R) = hAPP_f1161798306l_bool(hAPP_l213519975l_bool(P,R),Q),
    file('theBenchmark.p',help_COMBC_1_1_COMBC_000tc__List__Olist_Itc__prod_Itc__List__Olist_Itc__String__) ).

fof(help_COMBC_1_1_COMBC_000tc__fun_Itc__Nat__Onat_Mtc__Option__Ooption_Itc__prod_It_055,axiom,
    ! [P,Q,R] : hAPP_f1175813647l_bool(hAPP_f47713631l_bool(hAPP_f77033475l_bool(cOMBC_1317565126l_bool,P),Q),R) = hAPP_f33142364l_bool(hAPP_f893576377l_bool(P,R),Q),
    file('theBenchmark.p',help_COMBC_1_1_COMBC_000tc__fun_Itc__Nat__Onat_Mtc__Option__Ooption_Itc__prod_It_055) ).

fof(help_COMBB_1_1_COMBB_000tc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__prod,axiom,
    ! [P,Q,R] : hAPP_P1383068750l_bool(hAPP_f1239832973l_bool(hAPP_f1937828171l_bool(cOMBB_1681501894t_char,P),Q),R) = hAPP_P7095645l_bool(P,hAPP_P242904598t_char(Q,R)),
    file('theBenchmark.p',help_COMBB_1_1_COMBB_000tc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__prod) ).

fof(help_COMBC_1_1_COMBC_000tc__List__Olist_Itc__prod_Itc__List__Olist_Itc__String___056,axiom,
    ! [P,Q,R] : hAPP_l24694616r_bool(hAPP_f306469557r_bool(hAPP_f197435839r_bool(cOMBC_886773442r_bool,P),Q),R) = hAPP_f605643693r_bool(hAPP_l1129005983r_bool(P,R),Q),
    file('theBenchmark.p',help_COMBC_1_1_COMBC_000tc__List__Olist_Itc__prod_Itc__List__Olist_Itc__String___056) ).

fof(help_COMBB_1_1_COMBB_000tc__fun_Itc__fun_Itc__prod_Itc__List__Olist_Itc__String__057,axiom,
    ! [P,Q,R] : hAPP_l2111308793l_bool(hAPP_f1370205989l_bool(hAPP_f1406462375l_bool(cOMBB_109816436t_char,P),Q),R) = hAPP_f1099622285l_bool(P,hAPP_l1786340417on_val(Q,R)),
    file('theBenchmark.p',help_COMBB_1_1_COMBB_000tc__fun_Itc__fun_Itc__prod_Itc__List__Olist_Itc__String__057) ).

fof(help_COMBC_1_1_COMBC_000tc__prod_Itc__fun_Itc__Nat__Onat_Mtc__Option__Ooption_It,axiom,
    ! [P,Q,R] : hAPP_P159683425l_bool(hAPP_f1175362209l_bool(hAPP_f101237475l_bool(cOMBC_1585774710l_bool,P),Q),R) = hAPP_f91506671l_bool(hAPP_P1609485901l_bool(P,R),Q),
    file('theBenchmark.p',help_COMBC_1_1_COMBC_000tc__prod_Itc__fun_Itc__Nat__Onat_Mtc__Option__Ooption_It) ).

fof(help_COMBB_1_1_COMBB_000tc__fun_Itc__fun_Itc__List__Olist_Itc__String__Ochar_J_M_058,axiom,
    ! [P,Q,R] : hAPP_f1175813647l_bool(hAPP_f1363667773l_bool(hAPP_f1050935001l_bool(cOMBB_1153617344on_val,P),Q),R) = hAPP_f1008932791l_bool(P,hAPP_f1849790461on_val(Q,R)),
    file('theBenchmark.p',help_COMBB_1_1_COMBB_000tc__fun_Itc__fun_Itc__List__Olist_Itc__String__Ochar_J_M_058) ).

fof(help_COMBC_1_1_COMBC_000tc__prod_Itc__fun_Itc__Nat__Onat_Mtc__Option__Ooption_It_059,axiom,
    ! [P,Q,R] : hAPP_P159683425l_bool(hAPP_f1526206996l_bool(hAPP_f1467537159l_bool(cOMBC_2141828763l_bool,P),Q),R) = hAPP_f837795298l_bool(hAPP_P594889876l_bool(P,R),Q),
    file('theBenchmark.p',help_COMBC_1_1_COMBC_000tc__prod_Itc__fun_Itc__Nat__Onat_Mtc__Option__Ooption_It_059) ).

fof(help_COMBC_1_1_COMBC_000tc__prod_Itc__List__Olist_Itc__prod_Itc__List__Olist_Itc,axiom,
    ! [P,Q,R] : hAPP_P828904212r_bool(hAPP_f764724814r_bool(hAPP_f1410576713r_bool(cOMBC_516637475l_bool,P),Q),R) = hAPP_f2050077417l_bool(hAPP_P1418247892l_bool(P,R),Q),
    file('theBenchmark.p',help_COMBC_1_1_COMBC_000tc__prod_Itc__List__Olist_Itc__prod_Itc__List__Olist_Itc) ).

fof(help_COMBB_1_1_COMBB_000tc__prod_Itc__fun_Itc__Nat__Onat_Mtc__Option__Ooption_It_060,axiom,
    ! [P,Q,R] : hAPP_f720086610l_bool(hAPP_f292637069l_bool(hAPP_f1168269397l_bool(cOMBB_1293776864on_val,P),Q),R) = hAPP_P998768845l_bool(P,hAPP_f1727192346on_val(Q,R)),
    file('theBenchmark.p',help_COMBB_1_1_COMBB_000tc__prod_Itc__fun_Itc__Nat__Onat_Mtc__Option__Ooption_It_060) ).

fof(help_COMBB_1_1_COMBB_000tc__fun_Itc__fun_Itc__prod_Itc__List__Olist_Itc__String__061,axiom,
    ! [P,Q,R] : hAPP_l1739862107l_bool(hAPP_f1094343359l_bool(hAPP_f876671127l_bool(cOMBB_1200577438t_char,P),Q),R) = hAPP_f1166017719l_bool(P,hAPP_l2111308793l_bool(Q,R)),
    file('theBenchmark.p',help_COMBB_1_1_COMBB_000tc__fun_Itc__fun_Itc__prod_Itc__List__Olist_Itc__String__061) ).

fof(help_COMBC_1_1_COMBC_000tc__Expr__Oexp_Itc__List__Olist_Itc__String__Ochar_J_J_0_062,axiom,
    ! [P,Q,R] : hAPP_e1833980889l_bool(hAPP_f989077673l_bool(hAPP_f40682957l_bool(cOMBC_562612496l_bool,P),Q),R) = hAPP_f1175362209l_bool(hAPP_e1705922617l_bool(P,R),Q),
    file('theBenchmark.p',help_COMBC_1_1_COMBC_000tc__Expr__Oexp_Itc__List__Olist_Itc__String__Ochar_J_J_0_062) ).

fof(help_COMBS_1_1_COMBS_000tc__prod_Itc__prod_Itc__Expr__Oexp_Itc__List__Olist_Itc_,axiom,
    ! [P,Q,R] : hAPP_P282169671l_bool(cOMBS_1319864284l_bool(P,Q),R) = hAPP_bool_bool(hAPP_P1402001845l_bool(P,R),hAPP_P282169671l_bool(Q,R)),
    file('theBenchmark.p',help_COMBS_1_1_COMBS_000tc__prod_Itc__prod_Itc__Expr__Oexp_Itc__List__Olist_Itc_) ).

fof(help_COMBC_1_1_COMBC_000tc__List__Olist_Itc__String__Ochar_J_000tc__fun_Itc__pro_063,axiom,
    ! [P,Q,R] : hAPP_l1342015621r_bool(hAPP_f719350875r_bool(hAPP_f2133563379r_bool(cOMBC_1025440566r_bool,P),Q),R) = hAPP_f764724814r_bool(hAPP_l1988620845r_bool(P,R),Q),
    file('theBenchmark.p',help_COMBC_1_1_COMBC_000tc__List__Olist_Itc__String__Ochar_J_000tc__fun_Itc__pro_063) ).

fof(help_COMBB_1_1_COMBB_000tc__fun_Itc__prod_Itc__List__Olist_Itc__Type__Oty_J_Mtc_,axiom,
    ! [P,Q,R] : hAPP_l1571522437l_bool(hAPP_f1136362289l_bool(hAPP_f1736484361l_bool(cOMBB_2042763133t_char,P),Q),R) = hAPP_f1233028029l_bool(P,hAPP_l1873467853t_char(Q,R)),
    file('theBenchmark.p',help_COMBB_1_1_COMBB_000tc__fun_Itc__prod_Itc__List__Olist_Itc__Type__Oty_J_Mtc_) ).

fof(help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Oboo_064,axiom,
    ! [P,Q,R] : hAPP_P1402001845l_bool(hAPP_f379976829l_bool(hAPP_f606945057l_bool(cOMBB_705522285on_val,P),Q),R) = hAPP_b589554111l_bool(P,hAPP_P282169671l_bool(Q,R)),
    file('theBenchmark.p',help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Oboo_064) ).

fof(help_COMBC_1_1_COMBC_000tc__List__Olist_Itc__Expr__Oexp_Itc__List__Olist_Itc__St,axiom,
    ! [P,Q,R] : hAPP_l146377954l_bool(hAPP_f844901525l_bool(hAPP_f348508809l_bool(cOMBC_622308798l_bool,P),Q),R) = hAPP_f1526206996l_bool(hAPP_l177734933l_bool(P,R),Q),
    file('theBenchmark.p',help_COMBC_1_1_COMBC_000tc__List__Olist_Itc__Expr__Oexp_Itc__List__Olist_Itc__St) ).

fof(help_COMBS_1_1_COMBS_000tc__prod_Itc__prod_Itc__List__Olist_Itc__Expr__Oexp_Itc_,axiom,
    ! [P,Q,R] : hAPP_P1333315679l_bool(cOMBS_1218320756l_bool(P,Q),R) = hAPP_bool_bool(hAPP_P895943837l_bool(P,R),hAPP_P1333315679l_bool(Q,R)),
    file('theBenchmark.p',help_COMBS_1_1_COMBS_000tc__prod_Itc__prod_Itc__List__Olist_Itc__Expr__Oexp_Itc_) ).

fof(help_COMBC_1_1_COMBC_000tc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__prod_065,axiom,
    ! [P,Q,R] : hAPP_P659547099r_bool(hAPP_f658521820r_bool(hAPP_f454222487r_bool(cOMBC_1338332465l_bool,P),Q),R) = hAPP_f515912112l_bool(hAPP_P780018708l_bool(P,R),Q),
    file('theBenchmark.p',help_COMBC_1_1_COMBC_000tc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__prod_065) ).

fof(help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Oboo_066,axiom,
    ! [P,Q,R] : hAPP_P895943837l_bool(hAPP_f914702973l_bool(hAPP_f1600936353l_bool(cOMBB_1617503877on_val,P),Q),R) = hAPP_b589554111l_bool(P,hAPP_P1333315679l_bool(Q,R)),
    file('theBenchmark.p',help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Oboo_066) ).

fof(help_COMBB_1_1_COMBB_000tc__fun_Itc__prod_Itc__List__Olist_Itc__Type__Oty_J_Mtc__067,axiom,
    ! [P,Q,R] : hAPP_l1783480313r_bool(hAPP_f531187933r_bool(hAPP_f179418505r_bool(cOMBB_550632017t_char,P),Q),R) = hAPP_f1707979241r_bool(P,hAPP_l1571522437l_bool(Q,R)),
    file('theBenchmark.p',help_COMBB_1_1_COMBB_000tc__fun_Itc__prod_Itc__List__Olist_Itc__Type__Oty_J_Mtc__067) ).

fof(help_COMBC_1_1_COMBC_000tc__List__Olist_Itc__String__Ochar_J_000tc__fun_Itc__pro_068,axiom,
    ! [P,Q,R] : hAPP_l2140727500r_bool(hAPP_f2025561243r_bool(hAPP_f1500560577r_bool(cOMBC_1784597444r_bool,P),Q),R) = hAPP_f658521820r_bool(hAPP_l923073979r_bool(P,R),Q),
    file('theBenchmark.p',help_COMBC_1_1_COMBC_000tc__List__Olist_Itc__String__Ochar_J_000tc__fun_Itc__pro_068) ).

fof(help_COMBC_1_1_COMBC_000tc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__prod_069,axiom,
    ! [P,Q,R] : hAPP_P1680401186r_bool(hAPP_f1666729379r_bool(hAPP_f1020753317r_bool(cOMBC_1297648632l_bool,P),Q),R) = hAPP_f515912112l_bool(hAPP_P205570445l_bool(P,R),Q),
    file('theBenchmark.p',help_COMBC_1_1_COMBC_000tc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__prod_069) ).

fof(help_COMBB_1_1_COMBB_000tc__fun_Itc__prod_Itc__List__Olist_Itc__Type__Oty_J_Mtc__070,axiom,
    ! [P,Q,R] : hAPP_l1845912621l_bool(hAPP_f1868463117l_bool(hAPP_f1365840271l_bool(cOMBB_1705938036t_char,P),Q),R) = hAPP_f1239832973l_bool(P,hAPP_l1388836853t_char(Q,R)),
    file('theBenchmark.p',help_COMBB_1_1_COMBB_000tc__fun_Itc__prod_Itc__List__Olist_Itc__Type__Oty_J_Mtc__070) ).

fof(help_COMBB_1_1_COMBB_000tc__prod_Itc__List__Olist_Itc__prod_Itc__List__Olist_Itc,axiom,
    ! [P,Q,R] : hAPP_l213519975l_bool(hAPP_f156692813l_bool(hAPP_f1847120981l_bool(cOMBB_1035649854t_char,P),Q),R) = hAPP_P1327510541l_bool(P,hAPP_l277216047t_char(Q,R)),
    file('theBenchmark.p',help_COMBB_1_1_COMBB_000tc__prod_Itc__List__Olist_Itc__prod_Itc__List__Olist_Itc) ).

fof(help_COMBB_1_1_COMBB_000tc__fun_Itc__prod_Itc__List__Olist_Itc__Type__Oty_J_Mtc__071,axiom,
    ! [P,Q,R] : hAPP_l2053770731r_bool(hAPP_f732843907r_bool(hAPP_f1563448447r_bool(cOMBB_1490692730t_char,P),Q),R) = hAPP_f1419180947r_bool(P,hAPP_l1845912621l_bool(Q,R)),
    file('theBenchmark.p',help_COMBB_1_1_COMBB_000tc__fun_Itc__prod_Itc__List__Olist_Itc__Type__Oty_J_Mtc__071) ).

fof(help_COMBB_1_1_COMBB_000tc__fun_Itc__fun_Itc__List__Olist_Itc__String__Ochar_J_M_072,axiom,
    ! [P,Q,R] : hAPP_f613075253l_bool(hAPP_f1670595613l_bool(hAPP_f1472899487l_bool(cOMBB_588525814on_val,P),Q),R) = hAPP_f292637069l_bool(P,hAPP_f1849790461on_val(Q,R)),
    file('theBenchmark.p',help_COMBB_1_1_COMBB_000tc__fun_Itc__fun_Itc__List__Olist_Itc__String__Ochar_J_M_072) ).

fof(help_COMBB_1_1_COMBB_000tc__prod_Itc__Expr__Oexp_Itc__List__Olist_Itc__String__O,axiom,
    ! [P,Q,R] : hAPP_P1609485901l_bool(hAPP_f826324045l_bool(hAPP_f1639555093l_bool(cOMBB_985659173on_val,P),Q),R) = hAPP_P2015860941l_bool(P,hAPP_P604205461on_val(Q,R)),
    file('theBenchmark.p',help_COMBB_1_1_COMBB_000tc__prod_Itc__Expr__Oexp_Itc__List__Olist_Itc__String__O) ).

fof(help_COMBB_1_1_COMBB_000tc__fun_Itc__fun_Itc__List__Olist_Itc__String__Ochar_J_M_073,axiom,
    ! [P,Q,R] : hAPP_f893576377l_bool(hAPP_f1250221913l_bool(hAPP_f1860331535l_bool(cOMBB_2084052674on_val,P),Q),R) = hAPP_f510152537l_bool(P,hAPP_f613075253l_bool(Q,R)),
    file('theBenchmark.p',help_COMBB_1_1_COMBB_000tc__fun_Itc__fun_Itc__List__Olist_Itc__String__Ochar_J_M_073) ).

fof(help_COMBB_1_1_COMBB_000tc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__prod_074,axiom,
    ! [P,Q,R] : hAPP_P1418247892l_bool(hAPP_f2037329933l_bool(hAPP_f251669717l_bool(cOMBB_773661144t_char,P),Q),R) = hAPP_P1517699917l_bool(P,hAPP_P1423780764t_char(Q,R)),
    file('theBenchmark.p',help_COMBB_1_1_COMBB_000tc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__prod_074) ).

fof(help_COMBB_1_1_COMBB_000tc__prod_Itc__List__Olist_Itc__Expr__Oexp_Itc__List__Oli,axiom,
    ! [P,Q,R] : hAPP_P594889876l_bool(hAPP_f375531599l_bool(hAPP_f1564338425l_bool(cOMBB_1078680455on_val,P),Q),R) = hAPP_P483670507l_bool(P,hAPP_P1963616220on_val(Q,R)),
    file('theBenchmark.p',help_COMBB_1_1_COMBB_000tc__prod_Itc__List__Olist_Itc__Expr__Oexp_Itc__List__Oli) ).

fof(help_COMBC_1_1_COMBC_000tc__prod_Itc__Expr__Oexp_Itc__List__Olist_Itc__String__O,axiom,
    ! [P,Q,R] : hAPP_P1708370145l_bool(hAPP_f973018659l_bool(hAPP_f961387813l_bool(cOMBC_1608987946l_bool,P),Q),R) = hAPP_f1453283057l_bool(hAPP_P638161699l_bool(P,R),Q),
    file('theBenchmark.p',help_COMBC_1_1_COMBC_000tc__prod_Itc__Expr__Oexp_Itc__List__Olist_Itc__String__O) ).

fof(help_COMBC_1_1_COMBC_000tc__prod_Itc__List__Olist_Itc__Expr__Oexp_Itc__List__Oli,axiom,
    ! [P,Q,R] : hAPP_P71593144l_bool(hAPP_f1317381998l_bool(hAPP_f1734997943l_bool(cOMBC_1491642377l_bool,P),Q),R) = hAPP_f458849545l_bool(hAPP_P88824722l_bool(P,R),Q),
    file('theBenchmark.p',help_COMBC_1_1_COMBC_000tc__prod_Itc__List__Olist_Itc__Expr__Oexp_Itc__List__Oli) ).

fof(help_COMBB_1_1_COMBB_000tc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__prod_075,axiom,
    ! [P,Q,R] : hAPP_P780018708l_bool(hAPP_f1107475085l_bool(hAPP_f937861397l_bool(cOMBB_1520154591t_char,P),Q),R) = hAPP_P205570445l_bool(P,hAPP_P1224499548t_char(Q,R)),
    file('theBenchmark.p',help_COMBB_1_1_COMBB_000tc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__prod_075) ).

fof(help_COMBB_1_1_COMBB_000tc__fun_Itc__List__Olist_Itc__prod_Itc__List__Olist_Itc_,axiom,
    ! [P,Q,R] : hAPP_l1536299231l_bool(hAPP_f935003377l_bool(hAPP_f162154931l_bool(cOMBB_859890145har_ty,P),Q),R) = hAPP_f156692813l_bool(P,hAPP_l352172327t_char(Q,R)),
    file('theBenchmark.p',help_COMBB_1_1_COMBB_000tc__fun_Itc__List__Olist_Itc__prod_Itc__List__Olist_Itc_) ).

fof(help_COMBB_1_1_COMBB_000tc__fun_Itc__List__Olist_Itc__prod_Itc__List__Olist_Itc__076,axiom,
    ! [P,Q,R] : hAPP_l1129005983r_bool(hAPP_f1749915625r_bool(hAPP_f842743203r_bool(cOMBB_657296617har_ty,P),Q),R) = hAPP_f841257045r_bool(P,hAPP_l1536299231l_bool(Q,R)),
    file('theBenchmark.p',help_COMBB_1_1_COMBB_000tc__fun_Itc__List__Olist_Itc__prod_Itc__List__Olist_Itc__076) ).

fof(help_COMBB_1_1_COMBB_000tc__fun_Itc__prod_Itc__fun_Itc__Nat__Onat_Mtc__Option__O,axiom,
    ! [P,Q,R] : hAPP_e286792811l_bool(hAPP_f1614195593l_bool(hAPP_f705562443l_bool(cOMBB_507006011t_char,P),Q),R) = hAPP_f826324045l_bool(P,hAPP_e1659493427on_val(Q,R)),
    file('theBenchmark.p',help_COMBB_1_1_COMBB_000tc__fun_Itc__prod_Itc__fun_Itc__Nat__Onat_Mtc__Option__O) ).

fof(help_COMBB_1_1_COMBB_000tc__fun_Itc__prod_Itc__List__Olist_Itc__prod_Itc__List__,axiom,
    ! [P,Q,R] : hAPP_l810309945l_bool(hAPP_f1817350437l_bool(hAPP_f614662951l_bool(cOMBB_1558246132t_char,P),Q),R) = hAPP_f2037329933l_bool(P,hAPP_l309186817t_char(Q,R)),
    file('theBenchmark.p',help_COMBB_1_1_COMBB_000tc__fun_Itc__prod_Itc__List__Olist_Itc__prod_Itc__List__) ).

fof(help_COMBB_1_1_COMBB_000tc__fun_Itc__prod_Itc__fun_Itc__Nat__Onat_Mtc__Option__O_077,axiom,
    ! [P,Q,R] : hAPP_e1705922617l_bool(hAPP_f1475571983l_bool(hAPP_f1946480059l_bool(cOMBB_673739729t_char,P),Q),R) = hAPP_f101237475l_bool(P,hAPP_e286792811l_bool(Q,R)),
    file('theBenchmark.p',help_COMBB_1_1_COMBB_000tc__fun_Itc__prod_Itc__fun_Itc__Nat__Onat_Mtc__Option__O_077) ).

fof(help_COMBB_1_1_COMBB_000tc__fun_Itc__prod_Itc__fun_Itc__Nat__Onat_Mtc__Option__O_078,axiom,
    ! [P,Q,R] : hAPP_l232580245l_bool(hAPP_f1752856401l_bool(hAPP_f552300311l_bool(cOMBB_1270208498t_char,P),Q),R) = hAPP_f375531599l_bool(P,hAPP_l1275479261on_val(Q,R)),
    file('theBenchmark.p',help_COMBB_1_1_COMBB_000tc__fun_Itc__prod_Itc__fun_Itc__Nat__Onat_Mtc__Option__O_078) ).

fof(help_COMBC_1_1_COMBC_000tc__prod_Itc__Expr__Oexp_Itc__List__Olist_Itc__String__O_079,axiom,
    ! [P,Q,R] : hAPP_P1116729363l_bool(hAPP_f1200025813l_bool(hAPP_f1089788553l_bool(cOMBC_967917532l_bool,P),Q),R) = hAPP_f973018659l_bool(hAPP_P609938901l_bool(P,R),Q),
    file('theBenchmark.p',help_COMBC_1_1_COMBC_000tc__prod_Itc__Expr__Oexp_Itc__List__Olist_Itc__String__O_079) ).

fof(help_COMBC_1_1_COMBC_000tc__prod_Itc__prod_Itc__Expr__Oexp_Itc__List__Olist_Itc_,axiom,
    ! [P,Q,R] : hAPP_P282169671l_bool(hAPP_f2036784149l_bool(hAPP_f1720452391l_bool(cOMBC_1021753250l_bool,P),Q),R) = hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(P,R),Q),
    file('theBenchmark.p',help_COMBC_1_1_COMBC_000tc__prod_Itc__prod_Itc__Expr__Oexp_Itc__List__Olist_Itc_) ).

fof(help_COMBB_1_1_COMBB_000tc__fun_Itc__prod_Itc__List__Olist_Itc__prod_Itc__List___080,axiom,
    ! [P,Q,R] : hAPP_l1988620845r_bool(hAPP_f1957374161r_bool(hAPP_f304993943r_bool(cOMBB_847828016t_char,P),Q),R) = hAPP_f1410576713r_bool(P,hAPP_l810309945l_bool(Q,R)),
    file('theBenchmark.p',help_COMBB_1_1_COMBB_000tc__fun_Itc__prod_Itc__List__Olist_Itc__prod_Itc__List___080) ).

fof(help_COMBB_1_1_COMBB_000tc__fun_Itc__prod_Itc__fun_Itc__Nat__Onat_Mtc__Option__O_081,axiom,
    ! [P,Q,R] : hAPP_l177734933l_bool(hAPP_f1149562121l_bool(hAPP_f1850037271l_bool(cOMBB_773375802t_char,P),Q),R) = hAPP_f1467537159l_bool(P,hAPP_l232580245l_bool(Q,R)),
    file('theBenchmark.p',help_COMBB_1_1_COMBB_000tc__fun_Itc__prod_Itc__fun_Itc__Nat__Onat_Mtc__Option__O_081) ).

fof(help_COMBC_1_1_COMBC_000tc__prod_Itc__List__Olist_Itc__Expr__Oexp_Itc__List__Oli_082,axiom,
    ! [P,Q,R] : hAPP_P1183008383l_bool(hAPP_f447422815l_bool(hAPP_f2052909183l_bool(cOMBC_766524526l_bool,P),Q),R) = hAPP_f1317381998l_bool(hAPP_P768428603l_bool(P,R),Q),
    file('theBenchmark.p',help_COMBC_1_1_COMBC_000tc__prod_Itc__List__Olist_Itc__Expr__Oexp_Itc__List__Oli_082) ).

fof(help_COMBC_1_1_COMBC_000tc__prod_Itc__prod_Itc__List__Olist_Itc__Expr__Oexp_Itc_,axiom,
    ! [P,Q,R] : hAPP_P1333315679l_bool(hAPP_f1856968213l_bool(hAPP_f677078775l_bool(cOMBC_475083938l_bool,P),Q),R) = hAPP_f458849545l_bool(hAPP_P126004409l_bool(P,R),Q),
    file('theBenchmark.p',help_COMBC_1_1_COMBC_000tc__prod_Itc__prod_Itc__List__Olist_Itc__Expr__Oexp_Itc_) ).

fof(help_COMBB_1_1_COMBB_000tc__fun_Itc__prod_Itc__List__Olist_Itc__String__Ochar_J_,axiom,
    ! [P,Q,R] : hAPP_l1591404153l_bool(hAPP_f333583909l_bool(hAPP_f1407048615l_bool(cOMBB_741416308t_char,P),Q),R) = hAPP_f1107475085l_bool(P,hAPP_l902950593t_char(Q,R)),
    file('theBenchmark.p',help_COMBB_1_1_COMBB_000tc__fun_Itc__prod_Itc__List__Olist_Itc__String__Ochar_J_) ).

fof(help_COMBB_1_1_COMBB_000tc__fun_Itc__prod_Itc__List__Olist_Itc__String__Ochar_J__083,axiom,
    ! [P,Q,R] : hAPP_l923073979r_bool(hAPP_f29105311r_bool(hAPP_f953097879r_bool(cOMBB_672864638t_char,P),Q),R) = hAPP_f454222487r_bool(P,hAPP_l1591404153l_bool(Q,R)),
    file('theBenchmark.p',help_COMBB_1_1_COMBB_000tc__fun_Itc__prod_Itc__List__Olist_Itc__String__Ochar_J__083) ).

fof(help_COMBB_1_1_COMBB_000tc__prod_Itc__prod_Itc__Expr__Oexp_Itc__List__Olist_Itc_,axiom,
    ! [P,Q,R] : hAPP_P638161699l_bool(hAPP_f762728813l_bool(hAPP_f1510763001l_bool(cOMBB_565412073on_val,P),Q),R) = hAPP_P1303341961l_bool(P,hAPP_P1886180715on_val(Q,R)),
    file('theBenchmark.p',help_COMBB_1_1_COMBB_000tc__prod_Itc__prod_Itc__Expr__Oexp_Itc__List__Olist_Itc_) ).

fof(help_COMBB_1_1_COMBB_000tc__prod_Itc__prod_Itc__List__Olist_Itc__Expr__Oexp_Itc_,axiom,
    ! [P,Q,R] : hAPP_P88824722l_bool(hAPP_f1776493709l_bool(hAPP_f810261999l_bool(cOMBB_1034324152on_val,P),Q),R) = hAPP_P126004409l_bool(P,hAPP_P658340954on_val(Q,R)),
    file('theBenchmark.p',help_COMBB_1_1_COMBB_000tc__prod_Itc__prod_Itc__List__Olist_Itc__Expr__Oexp_Itc_) ).

fof(help_COMBB_1_1_COMBB_000tc__fun_Itc__prod_Itc__Expr__Oexp_Itc__List__Olist_Itc__,axiom,
    ! [P,Q,R] : hAPP_P527298901l_bool(hAPP_f1204100177l_bool(hAPP_f2026692601l_bool(cOMBB_1977588741on_val,P),Q),R) = hAPP_f762728813l_bool(P,hAPP_P1870962205on_val(Q,R)),
    file('theBenchmark.p',help_COMBB_1_1_COMBB_000tc__fun_Itc__prod_Itc__Expr__Oexp_Itc__List__Olist_Itc__) ).

fof(help_COMBB_1_1_COMBB_000tc__fun_Itc__prod_Itc__Expr__Oexp_Itc__List__Olist_Itc___084,axiom,
    ! [P,Q,R] : hAPP_P609938901l_bool(hAPP_f2095325577l_bool(hAPP_f1135930489l_bool(cOMBB_1223415373on_val,P),Q),R) = hAPP_f961387813l_bool(P,hAPP_P527298901l_bool(Q,R)),
    file('theBenchmark.p',help_COMBB_1_1_COMBB_000tc__fun_Itc__prod_Itc__Expr__Oexp_Itc__List__Olist_Itc___084) ).

fof(help_COMBB_1_1_COMBB_000tc__fun_Itc__prod_Itc__List__Olist_Itc__Expr__Oexp_Itc__,axiom,
    ! [P,Q,R] : hAPP_P76086873l_bool(hAPP_f1082373989l_bool(hAPP_f869803751l_bool(cOMBB_555068556on_val,P),Q),R) = hAPP_f1776493709l_bool(P,hAPP_P1526035745on_val(Q,R)),
    file('theBenchmark.p',help_COMBB_1_1_COMBB_000tc__fun_Itc__prod_Itc__List__Olist_Itc__Expr__Oexp_Itc__) ).

fof(help_COMBB_1_1_COMBB_000tc__fun_Itc__prod_Itc__List__Olist_Itc__Expr__Oexp_Itc___085,axiom,
    ! [P,Q,R] : hAPP_P768428603l_bool(hAPP_f1427871743l_bool(hAPP_f32926423l_bool(cOMBB_779086262on_val,P),Q),R) = hAPP_f1734997943l_bool(P,hAPP_P76086873l_bool(Q,R)),
    file('theBenchmark.p',help_COMBB_1_1_COMBB_000tc__fun_Itc__prod_Itc__List__Olist_Itc__Expr__Oexp_Itc___085) ).

fof(conj_0,conjecture,
    hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,ea),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,ha),fun_up1149430426on_val(la,v_1,hAPP_val_option_val(some_val,v))))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,e_a),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,h_a),l_a)))),red(p))),
    file('theBenchmark.p',conj_0) ).

fof(f_1_1,plain,
    ! [B_1_1] : is_bool(final_list_char(B_1_1)),
    inference(fof_nnf,[status(thm)],[gsy_c_BigStep_Ofinal_000tc__List__Olist_Itc__String__Ochar_J]) ).

fof(f_1_2,plain,
    ! [U_0] : is_bool(final_list_char(U_0)),
    inference(variable_rename,[status(thm)],[f_1_1]) ).

cnf(f_1_3,plain,
    is_bool(final_list_char(U_0)),
    inference(clausify,[status(thm)],[f_1_2]) ).

fof(f_2_1,plain,
    ! [B_1_1] : is_bool(finals_list_char(B_1_1)),
    inference(fof_nnf,[status(thm)],[gsy_c_BigStep_Ofinals_000tc__List__Olist_Itc__String__Ochar_J]) ).

fof(f_2_2,plain,
    ! [U_1] : is_bool(finals_list_char(U_1)),
    inference(variable_rename,[status(thm)],[f_2_1]) ).

cnf(f_2_3,plain,
    is_bool(finals_list_char(U_1)),
    inference(clausify,[status(thm)],[f_2_2]) ).

fof(f_3_1,plain,
    ! [B_1_1,B_2_1,B_3_1,B_4_1] : is_bool(conf_P373316194t_char(B_1_1,B_2_1,B_3_1,B_4_1)),
    inference(fof_nnf,[status(thm)],[gsy_c_Conform_Oconf_000tc__prod_Itc__List__Olist_Itc__List__Olist_Itc__String__O]) ).

fof(f_3_2,plain,
    ! [U_5,U_4,U_3,U_2] : is_bool(conf_P373316194t_char(U_5,U_4,U_3,U_2)),
    inference(variable_rename,[status(thm)],[f_3_1]) ).

cnf(f_3_3,plain,
    is_bool(conf_P373316194t_char(U_5,U_4,U_3,U_2)),
    inference(clausify,[status(thm)],[f_3_2]) ).

fof(f_4_1,plain,
    ! [B_1_1,B_2_1] : is_bool(d_list_char(B_1_1,B_2_1)),
    inference(fof_nnf,[status(thm)],[gsy_c_DefAss_O_092_060D_062_000tc__List__Olist_Itc__String__Ochar_J]) ).

fof(f_4_2,plain,
    ! [U_7,U_6] : is_bool(d_list_char(U_7,U_6)),
    inference(variable_rename,[status(thm)],[f_4_1]) ).

cnf(f_4_3,plain,
    is_bool(d_list_char(U_7,U_6)),
    inference(clausify,[status(thm)],[f_4_2]) ).

fof(f_5_1,plain,
    ! [B_1_1] : is_bool(preallocated(B_1_1)),
    inference(fof_nnf,[status(thm)],[gsy_c_Exceptions_Opreallocated]) ).

fof(f_5_2,plain,
    ! [U_8] : is_bool(preallocated(U_8)),
    inference(variable_rename,[status(thm)],[f_5_1]) ).

cnf(f_5_3,plain,
    is_bool(preallocated(U_8)),
    inference(clausify,[status(thm)],[f_5_2]) ).

fof(f_6_1,plain,
    is_bop(add),
    inference(fof_nnf,[status(thm)],[gsy_c_Expr_Obop_OAdd]) ).

cnf(f_6_2,plain,
    is_bop(add),
    inference(clausify,[status(thm)],[f_6_1]) ).

fof(f_7_1,plain,
    is_bop(c_Expr_Obop_OEq),
    inference(fof_nnf,[status(thm)],[gsy_c_Expr_Obop_OEq]) ).

cnf(f_7_2,plain,
    is_bop(c_Expr_Obop_OEq),
    inference(clausify,[status(thm)],[f_7_1]) ).

fof(f_8_1,plain,
    is_bop(undefined_bop(bop)),
    inference(fof_nnf,[status(thm)],[gsy_c_HOL_Oundefined_000tc__Expr__Obop]) ).

cnf(f_8_2,plain,
    is_bop(undefined_bop(bop)),
    inference(clausify,[status(thm)],[f_8_1]) ).

fof(f_9_1,plain,
    ! [B_1_1] : is_bool(distinct_list_char(B_1_1)),
    inference(fof_nnf,[status(thm)],[gsy_c_List_Odistinct_000tc__List__Olist_Itc__String__Ochar_J]) ).

fof(f_9_2,plain,
    ! [U_9] : is_bool(distinct_list_char(U_9)),
    inference(variable_rename,[status(thm)],[f_9_1]) ).

cnf(f_9_3,plain,
    is_bool(distinct_list_char(U_9)),
    inference(clausify,[status(thm)],[f_9_2]) ).

fof(f_10_1,plain,
    ! [B_1_1,B_2_1,B_3_1] : is_bool(list_all2_ty_ty(B_1_1,B_2_1,B_3_1)),
    inference(fof_nnf,[status(thm)],[gsy_c_List_Olist__all2_000tc__Type__Oty_000tc__Type__Oty]) ).

fof(f_10_2,plain,
    ! [U_12,U_11,U_10] : is_bool(list_all2_ty_ty(U_12,U_11,U_10)),
    inference(variable_rename,[status(thm)],[f_10_1]) ).

cnf(f_10_3,plain,
    is_bool(list_all2_ty_ty(U_12,U_11,U_10)),
    inference(clausify,[status(thm)],[f_10_2]) ).

fof(f_11_1,plain,
    ! [B_1_1,B_2_1] : is_bool(hext(B_1_1,B_2_1)),
    inference(fof_nnf,[status(thm)],[gsy_c_Objects_Ohext]) ).

fof(f_11_2,plain,
    ! [U_14,U_13] : is_bool(hext(U_14,U_13)),
    inference(variable_rename,[status(thm)],[f_11_1]) ).

cnf(f_11_3,plain,
    is_bool(hext(U_14,U_13)),
    inference(clausify,[status(thm)],[f_11_2]) ).

fof(f_12_1,plain,
    ! [B_1_1,B_2_1,B_3_1,B_4_1,B_5_1] : is_bool(wTrt(B_1_1,B_2_1,B_3_1,B_4_1,B_5_1)),
    inference(fof_nnf,[status(thm)],[gsy_c_Progress_OWTrt_H]) ).

fof(f_12_2,plain,
    ! [U_19,U_18,U_17,U_16,U_15] : is_bool(wTrt(U_19,U_18,U_17,U_16,U_15)),
    inference(variable_rename,[status(thm)],[f_12_1]) ).

cnf(f_12_3,plain,
    is_bool(wTrt(U_19,U_18,U_17,U_16,U_15)),
    inference(clausify,[status(thm)],[f_12_2]) ).

fof(f_13_1,plain,
    ! [B_1_1,B_2_1,B_3_1,B_4_1,B_5_1] : is_bool(wTrts(B_1_1,B_2_1,B_3_1,B_4_1,B_5_1)),
    inference(fof_nnf,[status(thm)],[gsy_c_Progress_OWTrts_H]) ).

fof(f_13_2,plain,
    ! [U_24,U_23,U_22,U_21,U_20] : is_bool(wTrts(U_24,U_23,U_22,U_21,U_20)),
    inference(variable_rename,[status(thm)],[f_13_1]) ).

cnf(f_13_3,plain,
    is_bool(wTrts(U_24,U_23,U_22,U_21,U_20)),
    inference(clausify,[status(thm)],[f_13_2]) ).

fof(f_14_1,plain,
    ! [B_1_1,B_2_1] : is_bool(assigned(B_1_1,B_2_1)),
    inference(fof_nnf,[status(thm)],[gsy_c_SmallStep_Oassigned]) ).

fof(f_14_2,plain,
    ! [U_26,U_25] : is_bool(assigned(U_26,U_25)),
    inference(variable_rename,[status(thm)],[f_14_1]) ).

cnf(f_14_3,plain,
    is_bool(assigned(U_26,U_25)),
    inference(clausify,[status(thm)],[f_14_2]) ).

fof(f_15_1,plain,
    ! [B_1_1,B_2_1,B_3_1] : is_bool(fields1147507508t_char(B_1_1,B_2_1,B_3_1)),
    inference(fof_nnf,[status(thm)],[gsy_c_TypeRel_OFields_000tc__prod_Itc__List__Olist_Itc__List__Olist_Itc__String_]) ).

fof(f_15_2,plain,
    ! [U_29,U_28,U_27] : is_bool(fields1147507508t_char(U_29,U_28,U_27)),
    inference(variable_rename,[status(thm)],[f_15_1]) ).

cnf(f_15_3,plain,
    is_bool(fields1147507508t_char(U_29,U_28,U_27)),
    inference(clausify,[status(thm)],[f_15_2]) ).

fof(f_16_1,plain,
    ! [B_1_1] : is_bool(is_refT(B_1_1)),
    inference(fof_nnf,[status(thm)],[gsy_c_Type_Ois__refT]) ).

fof(f_16_2,plain,
    ! [U_30] : is_bool(is_refT(U_30)),
    inference(variable_rename,[status(thm)],[f_16_1]) ).

cnf(f_16_3,plain,
    is_bool(is_refT(U_30)),
    inference(clausify,[status(thm)],[f_16_2]) ).

fof(f_17_1,plain,
    ! [B_1_1,B_2_1] : is_bool(wf_pro755087577t_char(B_1_1,B_2_1)),
    inference(fof_nnf,[status(thm)],[gsy_c_WellForm_Owf__prog_000tc__prod_Itc__List__Olist_Itc__List__Olist_Itc__Stri]) ).

fof(f_17_2,plain,
    ! [U_32,U_31] : is_bool(wf_pro755087577t_char(U_32,U_31)),
    inference(variable_rename,[status(thm)],[f_17_1]) ).

cnf(f_17_3,plain,
    is_bool(wf_pro755087577t_char(U_32,U_31)),
    inference(clausify,[status(thm)],[f_17_2]) ).

fof(f_18_1,plain,
    ! [B_1_1,B_2_1,B_3_1,B_4_1,B_5_1] : is_bool(wTrt_1(B_1_1,B_2_1,B_3_1,B_4_1,B_5_1)),
    inference(fof_nnf,[status(thm)],[gsy_c_WellTypeRT_OWTrt]) ).

fof(f_18_2,plain,
    ! [U_37,U_36,U_35,U_34,U_33] : is_bool(wTrt_1(U_37,U_36,U_35,U_34,U_33)),
    inference(variable_rename,[status(thm)],[f_18_1]) ).

cnf(f_18_3,plain,
    is_bool(wTrt_1(U_37,U_36,U_35,U_34,U_33)),
    inference(clausify,[status(thm)],[f_18_2]) ).

fof(f_19_1,plain,
    ! [B_1_1,B_2_1,B_3_1,B_4_1,B_5_1] : is_bool(wTrts_1(B_1_1,B_2_1,B_3_1,B_4_1,B_5_1)),
    inference(fof_nnf,[status(thm)],[gsy_c_WellTypeRT_OWTrts]) ).

fof(f_19_2,plain,
    ! [U_42,U_41,U_40,U_39,U_38] : is_bool(wTrts_1(U_42,U_41,U_40,U_39,U_38)),
    inference(variable_rename,[status(thm)],[f_19_1]) ).

cnf(f_19_3,plain,
    is_bool(wTrts_1(U_42,U_41,U_40,U_39,U_38)),
    inference(clausify,[status(thm)],[f_19_2]) ).

fof(f_20_1,plain,
    is_bool(fFalse),
    inference(fof_nnf,[status(thm)],[gsy_c_fFalse]) ).

cnf(f_20_2,plain,
    is_bool(fFalse),
    inference(clausify,[status(thm)],[f_20_1]) ).

fof(f_21_1,plain,
    is_bool(fTrue),
    inference(fof_nnf,[status(thm)],[gsy_c_fTrue]) ).

cnf(f_21_2,plain,
    is_bool(fTrue),
    inference(clausify,[status(thm)],[f_21_1]) ).

fof(f_22_1,plain,
    ! [B_1_1,B_2_1] : is_bool(hAPP_e544220455r_bool(B_1_1,B_2_1)),
    inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__Expr__Oexp_Itc__List__Olist_Itc__String__Ochar_J_J_000tc__HOL_]) ).

fof(f_22_2,plain,
    ! [U_44,U_43] : is_bool(hAPP_e544220455r_bool(U_44,U_43)),
    inference(variable_rename,[status(thm)],[f_22_1]) ).

cnf(f_22_3,plain,
    is_bool(hAPP_e544220455r_bool(U_44,U_43)),
    inference(clausify,[status(thm)],[f_22_2]) ).

fof(f_23_1,plain,
    ! [B_1_1,B_2_1] :
      ( is_bool(hAPP_bool_bool(B_1_1,B_2_1))
      | ~ is_bool(B_2_1) ),
    inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__HOL__Obool_000tc__HOL__Obool]) ).

fof(f_23_2,plain,
    ! [U_46,U_45] :
      ( is_bool(hAPP_bool_bool(U_46,U_45))
      | ~ is_bool(U_45) ),
    inference(variable_rename,[status(thm)],[f_23_1]) ).

cnf(f_23_3,plain,
    ( is_bool(hAPP_bool_bool(U_46,U_45))
    | ~ is_bool(U_45) ),
    inference(clausify,[status(thm)],[f_23_2]) ).

fof(f_24_1,plain,
    ! [B_1_1,B_2_1] : is_bool(hAPP_list_char_bool(B_1_1,B_2_1)),
    inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__List__Olist_Itc__String__Ochar_J_000tc__HOL__Obool]) ).

fof(f_24_2,plain,
    ! [U_48,U_47] : is_bool(hAPP_list_char_bool(U_48,U_47)),
    inference(variable_rename,[status(thm)],[f_24_1]) ).

cnf(f_24_3,plain,
    is_bool(hAPP_list_char_bool(U_48,U_47)),
    inference(clausify,[status(thm)],[f_24_2]) ).

fof(f_25_1,plain,
    ! [B_1_1,B_2_1] : is_bool(hAPP_l902158906r_bool(B_1_1,B_2_1)),
    inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__List__Olist_Itc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mt]) ).

fof(f_25_2,plain,
    ! [U_50,U_49] : is_bool(hAPP_l902158906r_bool(U_50,U_49)),
    inference(variable_rename,[status(thm)],[f_25_1]) ).

cnf(f_25_3,plain,
    is_bool(hAPP_l902158906r_bool(U_50,U_49)),
    inference(clausify,[status(thm)],[f_25_2]) ).

fof(f_26_1,plain,
    ! [B_1_1,B_2_1] : is_bool(hAPP_nat_bool(B_1_1,B_2_1)),
    inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__Nat__Onat_000tc__HOL__Obool]) ).

fof(f_26_2,plain,
    ! [U_52,U_51] : is_bool(hAPP_nat_bool(U_52,U_51)),
    inference(variable_rename,[status(thm)],[f_26_1]) ).

cnf(f_26_3,plain,
    is_bool(hAPP_nat_bool(U_52,U_51)),
    inference(clausify,[status(thm)],[f_26_2]) ).

fof(f_27_1,plain,
    ! [B_1_1,B_2_1] : is_bool(hAPP_option_ty_bool(B_1_1,B_2_1)),
    inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__Option__Ooption_Itc__Type__Oty_J_000tc__HOL__Obool]) ).

fof(f_27_2,plain,
    ! [U_54,U_53] : is_bool(hAPP_option_ty_bool(U_54,U_53)),
    inference(variable_rename,[status(thm)],[f_27_1]) ).

cnf(f_27_3,plain,
    is_bool(hAPP_option_ty_bool(U_54,U_53)),
    inference(clausify,[status(thm)],[f_27_2]) ).

fof(f_28_1,plain,
    ! [B_1_1,B_2_1] : is_bool(hAPP_option_val_bool(B_1_1,B_2_1)),
    inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__Option__Ooption_Itc__Value__Oval_J_000tc__HOL__Obool]) ).

fof(f_28_2,plain,
    ! [U_56,U_55] : is_bool(hAPP_option_val_bool(U_56,U_55)),
    inference(variable_rename,[status(thm)],[f_28_1]) ).

cnf(f_28_3,plain,
    is_bool(hAPP_option_val_bool(U_56,U_55)),
    inference(clausify,[status(thm)],[f_28_2]) ).

fof(f_29_1,plain,
    ! [B_1_1,B_2_1] : is_bool(hAPP_o2007402111l_bool(B_1_1,B_2_1)),
    inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__Option__Ooption_Itc__prod_Itc__List__Olist_Itc__String__Ochar_]) ).

fof(f_29_2,plain,
    ! [U_58,U_57] : is_bool(hAPP_o2007402111l_bool(U_58,U_57)),
    inference(variable_rename,[status(thm)],[f_29_1]) ).

cnf(f_29_3,plain,
    is_bool(hAPP_o2007402111l_bool(U_58,U_57)),
    inference(clausify,[status(thm)],[f_29_2]) ).

fof(f_30_1,plain,
    ! [B_1_1,B_2_1] : is_bool(hAPP_ty_bool(B_1_1,B_2_1)),
    inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__Type__Oty_000tc__HOL__Obool]) ).

fof(f_30_2,plain,
    ! [U_60,U_59] : is_bool(hAPP_ty_bool(U_60,U_59)),
    inference(variable_rename,[status(thm)],[f_30_1]) ).

cnf(f_30_3,plain,
    is_bool(hAPP_ty_bool(U_60,U_59)),
    inference(clausify,[status(thm)],[f_30_2]) ).

fof(f_31_1,plain,
    ! [B_1_1,B_2_1] : is_bool(hAPP_val_bool(B_1_1,B_2_1)),
    inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__Value__Oval_000tc__HOL__Obool]) ).

fof(f_31_2,plain,
    ! [U_62,U_61] : is_bool(hAPP_val_bool(U_62,U_61)),
    inference(variable_rename,[status(thm)],[f_31_1]) ).

cnf(f_31_3,plain,
    is_bool(hAPP_val_bool(U_62,U_61)),
    inference(clausify,[status(thm)],[f_31_2]) ).

fof(f_32_1,plain,
    ! [B_1_1,B_2_1] : is_bool(hAPP_f1776070952l_bool(B_1_1,B_2_1)),
    inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__Expr__Obop_Mtc__fun_Itc__prod_Itc__Value__Oval_Mtc__V]) ).

fof(f_32_2,plain,
    ! [U_64,U_63] : is_bool(hAPP_f1776070952l_bool(U_64,U_63)),
    inference(variable_rename,[status(thm)],[f_32_1]) ).

cnf(f_32_3,plain,
    is_bool(hAPP_f1776070952l_bool(U_64,U_63)),
    inference(clausify,[status(thm)],[f_32_2]) ).

fof(f_33_1,plain,
    ! [B_1_1,B_2_1] : is_bool(hAPP_f570766339l_bool(B_1_1,B_2_1)),
    inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__Expr__Oexp_Itc__List__Olist_Itc__String__Ochar_J_J_Mt]) ).

fof(f_33_2,plain,
    ! [U_66,U_65] : is_bool(hAPP_f570766339l_bool(U_66,U_65)),
    inference(variable_rename,[status(thm)],[f_33_1]) ).

cnf(f_33_3,plain,
    is_bool(hAPP_f570766339l_bool(U_66,U_65)),
    inference(clausify,[status(thm)],[f_33_2]) ).

fof(f_34_1,plain,
    ! [B_1_1,B_2_1] : is_bool(hAPP_f2041029616l_bool(B_1_1,B_2_1)),
    inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__List__Olist_Itc__Expr__Oexp_Itc__List__Olist_Itc__Str]) ).

fof(f_34_2,plain,
    ! [U_68,U_67] : is_bool(hAPP_f2041029616l_bool(U_68,U_67)),
    inference(variable_rename,[status(thm)],[f_34_1]) ).

cnf(f_34_3,plain,
    is_bool(hAPP_f2041029616l_bool(U_68,U_67)),
    inference(clausify,[status(thm)],[f_34_2]) ).

fof(f_35_1,plain,
    ! [B_1_1,B_2_1] : is_bool(hAPP_f539072365l_bool(B_1_1,B_2_1)),
    inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__List__Olist_Itc__List__Olist_Itc__String__Ochar_J_J_M]) ).

fof(f_35_2,plain,
    ! [U_70,U_69] : is_bool(hAPP_f539072365l_bool(U_70,U_69)),
    inference(variable_rename,[status(thm)],[f_35_1]) ).

cnf(f_35_3,plain,
    is_bool(hAPP_f539072365l_bool(U_70,U_69)),
    inference(clausify,[status(thm)],[f_35_2]) ).

fof(f_36_1,plain,
    ! [B_1_1,B_2_1] : is_bool(hAPP_f998390560l_bool(B_1_1,B_2_1)),
    inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__List__Olist_Itc__List__Olist_Itc__String__Ochar_J_J_M_001]) ).

fof(f_36_2,plain,
    ! [U_72,U_71] : is_bool(hAPP_f998390560l_bool(U_72,U_71)),
    inference(variable_rename,[status(thm)],[f_36_1]) ).

cnf(f_36_3,plain,
    is_bool(hAPP_f998390560l_bool(U_72,U_71)),
    inference(clausify,[status(thm)],[f_36_2]) ).

fof(f_37_1,plain,
    ! [B_1_1,B_2_1] : is_bool(hAPP_f986089162l_bool(B_1_1,B_2_1)),
    inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__List__Olist_Itc__String__Ochar_J_Mtc__HOL__Obool_J_00]) ).

fof(f_37_2,plain,
    ! [U_74,U_73] : is_bool(hAPP_f986089162l_bool(U_74,U_73)),
    inference(variable_rename,[status(thm)],[f_37_1]) ).

cnf(f_37_3,plain,
    is_bool(hAPP_f986089162l_bool(U_74,U_73)),
    inference(clausify,[status(thm)],[f_37_2]) ).

fof(f_38_1,plain,
    ! [B_1_1,B_2_1] : is_bool(hAPP_f1001225811y_bool(B_1_1,B_2_1)),
    inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__List__Olist_Itc__String__Ochar_J_Mtc__Option__Ooption]) ).

fof(f_38_2,plain,
    ! [U_76,U_75] : is_bool(hAPP_f1001225811y_bool(U_76,U_75)),
    inference(variable_rename,[status(thm)],[f_38_1]) ).

cnf(f_38_3,plain,
    is_bool(hAPP_f1001225811y_bool(U_76,U_75)),
    inference(clausify,[status(thm)],[f_38_2]) ).

fof(f_39_1,plain,
    ! [B_1_1,B_2_1] : is_bool(hAPP_f1033709212l_bool(B_1_1,B_2_1)),
    inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__List__Olist_Itc__String__Ochar_J_Mtc__Option__Ooption_002]) ).

fof(f_39_2,plain,
    ! [U_78,U_77] : is_bool(hAPP_f1033709212l_bool(U_78,U_77)),
    inference(variable_rename,[status(thm)],[f_39_1]) ).

cnf(f_39_3,plain,
    is_bool(hAPP_f1033709212l_bool(U_78,U_77)),
    inference(clausify,[status(thm)],[f_39_2]) ).

fof(f_40_1,plain,
    ! [B_1_1,B_2_1] : is_bool(hAPP_f1776419603l_bool(B_1_1,B_2_1)),
    inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__List__Olist_Itc__String__Ochar_J_Mtc__fun_Itc__List__]) ).

fof(f_40_2,plain,
    ! [U_80,U_79] : is_bool(hAPP_f1776419603l_bool(U_80,U_79)),
    inference(variable_rename,[status(thm)],[f_40_1]) ).

cnf(f_40_3,plain,
    is_bool(hAPP_f1776419603l_bool(U_80,U_79)),
    inference(clausify,[status(thm)],[f_40_2]) ).

fof(f_41_1,plain,
    ! [B_1_1,B_2_1] : is_bool(hAPP_f678833350l_bool(B_1_1,B_2_1)),
    inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__List__Olist_Itc__String__Ochar_J_Mtc__fun_Itc__fun_It]) ).

fof(f_41_2,plain,
    ! [U_82,U_81] : is_bool(hAPP_f678833350l_bool(U_82,U_81)),
    inference(variable_rename,[status(thm)],[f_41_1]) ).

cnf(f_41_3,plain,
    is_bool(hAPP_f678833350l_bool(U_82,U_81)),
    inference(clausify,[status(thm)],[f_41_2]) ).

fof(f_42_1,plain,
    ! [B_1_1,B_2_1] : is_bool(hAPP_f1795246582l_bool(B_1_1,B_2_1)),
    inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__List__Olist_Itc__String__Ochar_J_Mtc__fun_Itc__prod_I]) ).

fof(f_42_2,plain,
    ! [U_84,U_83] : is_bool(hAPP_f1795246582l_bool(U_84,U_83)),
    inference(variable_rename,[status(thm)],[f_42_1]) ).

cnf(f_42_3,plain,
    is_bool(hAPP_f1795246582l_bool(U_84,U_83)),
    inference(clausify,[status(thm)],[f_42_2]) ).

fof(f_43_1,plain,
    ! [B_1_1,B_2_1] : is_bool(hAPP_f1931964053l_bool(B_1_1,B_2_1)),
    inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__List__Olist_Itc__String__Ochar_J_Mtc__fun_Itc__prod_I_003]) ).

fof(f_43_2,plain,
    ! [U_86,U_85] : is_bool(hAPP_f1931964053l_bool(U_86,U_85)),
    inference(variable_rename,[status(thm)],[f_43_1]) ).

cnf(f_43_3,plain,
    is_bool(hAPP_f1931964053l_bool(U_86,U_85)),
    inference(clausify,[status(thm)],[f_43_2]) ).

fof(f_44_1,plain,
    ! [B_1_1,B_2_1] : is_bool(hAPP_f1520735791l_bool(B_1_1,B_2_1)),
    inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__List__Olist_Itc__String__Ochar_J_Mtc__fun_Itc__prod_I_004]) ).

fof(f_44_2,plain,
    ! [U_88,U_87] : is_bool(hAPP_f1520735791l_bool(U_88,U_87)),
    inference(variable_rename,[status(thm)],[f_44_1]) ).

cnf(f_44_3,plain,
    is_bool(hAPP_f1520735791l_bool(U_88,U_87)),
    inference(clausify,[status(thm)],[f_44_2]) ).

fof(f_45_1,plain,
    ! [B_1_1,B_2_1] : is_bool(hAPP_f1889282162l_bool(B_1_1,B_2_1)),
    inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__List__Olist_Itc__Type__Oty_J_Mtc__fun_Itc__prod_Itc__]) ).

fof(f_45_2,plain,
    ! [U_90,U_89] : is_bool(hAPP_f1889282162l_bool(U_90,U_89)),
    inference(variable_rename,[status(thm)],[f_45_1]) ).

cnf(f_45_3,plain,
    is_bool(hAPP_f1889282162l_bool(U_90,U_89)),
    inference(clausify,[status(thm)],[f_45_2]) ).

fof(f_46_1,plain,
    ! [B_1_1,B_2_1] : is_bool(hAPP_f1118567467l_bool(B_1_1,B_2_1)),
    inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__List__Olist_Itc__Value__Oval_J_Mtc__fun_Itc__Expr__Oe]) ).

fof(f_46_2,plain,
    ! [U_92,U_91] : is_bool(hAPP_f1118567467l_bool(U_92,U_91)),
    inference(variable_rename,[status(thm)],[f_46_1]) ).

cnf(f_46_3,plain,
    is_bool(hAPP_f1118567467l_bool(U_92,U_91)),
    inference(clausify,[status(thm)],[f_46_2]) ).

fof(f_47_1,plain,
    ! [B_1_1,B_2_1] : is_bool(hAPP_f1409772418l_bool(B_1_1,B_2_1)),
    inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__List__Olist_Itc__prod_Itc__List__Olist_Itc__String__O]) ).

fof(f_47_2,plain,
    ! [U_94,U_93] : is_bool(hAPP_f1409772418l_bool(U_94,U_93)),
    inference(variable_rename,[status(thm)],[f_47_1]) ).

cnf(f_47_3,plain,
    is_bool(hAPP_f1409772418l_bool(U_94,U_93)),
    inference(clausify,[status(thm)],[f_47_2]) ).

fof(f_48_1,plain,
    ! [B_1_1,B_2_1] : is_bool(hAPP_f54304608l_bool(B_1_1,B_2_1)),
    inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_J_000tc__HOL__Obool]) ).

fof(f_48_2,plain,
    ! [U_96,U_95] : is_bool(hAPP_f54304608l_bool(U_96,U_95)),
    inference(variable_rename,[status(thm)],[f_48_1]) ).

cnf(f_48_3,plain,
    is_bool(hAPP_f54304608l_bool(U_96,U_95)),
    inference(clausify,[status(thm)],[f_48_2]) ).

fof(f_49_1,plain,
    ! [B_1_1,B_2_1] : is_bool(hAPP_f61040418l_bool(B_1_1,B_2_1)),
    inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__Nat__Onat_Mtc__Option__Ooption_Itc__prod_Itc__List__O]) ).

fof(f_49_2,plain,
    ! [U_98,U_97] : is_bool(hAPP_f61040418l_bool(U_98,U_97)),
    inference(variable_rename,[status(thm)],[f_49_1]) ).

cnf(f_49_3,plain,
    is_bool(hAPP_f61040418l_bool(U_98,U_97)),
    inference(clausify,[status(thm)],[f_49_2]) ).

fof(f_50_1,plain,
    ! [B_1_1,B_2_1] : is_bool(hAPP_f2071159779l_bool(B_1_1,B_2_1)),
    inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__Value__Oval_Mtc__fun_Itc__Value__Oval_Mtc__HOL__Obool]) ).

fof(f_50_2,plain,
    ! [U_100,U_99] : is_bool(hAPP_f2071159779l_bool(U_100,U_99)),
    inference(variable_rename,[status(thm)],[f_50_1]) ).

cnf(f_50_3,plain,
    is_bool(hAPP_f2071159779l_bool(U_100,U_99)),
    inference(clausify,[status(thm)],[f_50_2]) ).

fof(f_51_1,plain,
    ! [B_1_1,B_2_1] : is_bool(hAPP_f1450446905l_bool(B_1_1,B_2_1)),
    inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Nat__Onat_Mtc__Option__Ooption_Itc__prod_Itc]) ).

fof(f_51_2,plain,
    ! [U_102,U_101] : is_bool(hAPP_f1450446905l_bool(U_102,U_101)),
    inference(variable_rename,[status(thm)],[f_51_1]) ).

cnf(f_51_3,plain,
    is_bool(hAPP_f1450446905l_bool(U_102,U_101)),
    inference(clausify,[status(thm)],[f_51_2]) ).

fof(f_52_1,plain,
    ! [B_1_1,B_2_1] :
      ( is_bool(hAPP_f1854361213l_bool(B_1_1,B_2_1))
      | ~ is_fun1083000568p_bool(B_2_1) ),
    inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__prod_Itc__Expr__Obop_Mtc__Expr__Obop_J_Mtc__HOL__Oboo]) ).

fof(f_52_2,plain,
    ! [U_104,U_103] :
      ( is_bool(hAPP_f1854361213l_bool(U_104,U_103))
      | ~ is_fun1083000568p_bool(U_103) ),
    inference(variable_rename,[status(thm)],[f_52_1]) ).

cnf(f_52_3,plain,
    ( is_bool(hAPP_f1854361213l_bool(U_104,U_103))
    | ~ is_fun1083000568p_bool(U_103) ),
    inference(clausify,[status(thm)],[f_52_2]) ).

fof(f_53_1,plain,
    ! [B_1_1,B_2_1] : is_bool(hAPP_f742333458l_bool(B_1_1,B_2_1)),
    inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__prod_Itc__Expr__Obop_Mtc__prod_Itc__Value__Oval_Mtc__]) ).

fof(f_53_2,plain,
    ! [U_106,U_105] : is_bool(hAPP_f742333458l_bool(U_106,U_105)),
    inference(variable_rename,[status(thm)],[f_53_1]) ).

cnf(f_53_3,plain,
    is_bool(hAPP_f742333458l_bool(U_106,U_105)),
    inference(clausify,[status(thm)],[f_53_2]) ).

fof(f_54_1,plain,
    ! [B_1_1,B_2_1] : is_bool(hAPP_f588675559l_bool(B_1_1,B_2_1)),
    inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__prod_Itc__Expr__Oexp_Itc__List__Olist_Itc__String__Oc]) ).

fof(f_54_2,plain,
    ! [U_108,U_107] : is_bool(hAPP_f588675559l_bool(U_108,U_107)),
    inference(variable_rename,[status(thm)],[f_54_1]) ).

cnf(f_54_3,plain,
    is_bool(hAPP_f588675559l_bool(U_108,U_107)),
    inference(clausify,[status(thm)],[f_54_2]) ).

fof(f_55_1,plain,
    ! [B_1_1,B_2_1] : is_bool(hAPP_f91506671l_bool(B_1_1,B_2_1)),
    inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__prod_Itc__Expr__Oexp_Itc__List__Olist_Itc__String__Oc_005]) ).

fof(f_55_2,plain,
    ! [U_110,U_109] : is_bool(hAPP_f91506671l_bool(U_110,U_109)),
    inference(variable_rename,[status(thm)],[f_55_1]) ).

cnf(f_55_3,plain,
    is_bool(hAPP_f91506671l_bool(U_110,U_109)),
    inference(clausify,[status(thm)],[f_55_2]) ).

fof(f_56_1,plain,
    ! [B_1_1,B_2_1] : is_bool(hAPP_f434955681l_bool(B_1_1,B_2_1)),
    inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__prod_Itc__Expr__Oexp_Itc__List__Olist_Itc__String__Oc_006]) ).

fof(f_56_2,plain,
    ! [U_112,U_111] : is_bool(hAPP_f434955681l_bool(U_112,U_111)),
    inference(variable_rename,[status(thm)],[f_56_1]) ).

cnf(f_56_3,plain,
    is_bool(hAPP_f434955681l_bool(U_112,U_111)),
    inference(clausify,[status(thm)],[f_56_2]) ).

fof(f_57_1,plain,
    ! [B_1_1,B_2_1] : is_bool(hAPP_f1734260017l_bool(B_1_1,B_2_1)),
    inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__prod_Itc__List__Olist_Itc__Expr__Oexp_Itc__List__Olis]) ).

fof(f_57_2,plain,
    ! [U_114,U_113] : is_bool(hAPP_f1734260017l_bool(U_114,U_113)),
    inference(variable_rename,[status(thm)],[f_57_1]) ).

cnf(f_57_3,plain,
    is_bool(hAPP_f1734260017l_bool(U_114,U_113)),
    inference(clausify,[status(thm)],[f_57_2]) ).

fof(f_58_1,plain,
    ! [B_1_1,B_2_1] : is_bool(hAPP_f837795298l_bool(B_1_1,B_2_1)),
    inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__prod_Itc__List__Olist_Itc__Expr__Oexp_Itc__List__Olis_007]) ).

fof(f_58_2,plain,
    ! [U_116,U_115] : is_bool(hAPP_f837795298l_bool(U_116,U_115)),
    inference(variable_rename,[status(thm)],[f_58_1]) ).

cnf(f_58_3,plain,
    is_bool(hAPP_f837795298l_bool(U_116,U_115)),
    inference(clausify,[status(thm)],[f_58_2]) ).

fof(f_59_1,plain,
    ! [B_1_1,B_2_1] : is_bool(hAPP_f861853459l_bool(B_1_1,B_2_1)),
    inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__prod_Itc__List__Olist_Itc__Expr__Oexp_Itc__List__Olis_008]) ).

fof(f_59_2,plain,
    ! [U_118,U_117] : is_bool(hAPP_f861853459l_bool(U_118,U_117)),
    inference(variable_rename,[status(thm)],[f_59_1]) ).

cnf(f_59_3,plain,
    is_bool(hAPP_f861853459l_bool(U_118,U_117)),
    inference(clausify,[status(thm)],[f_59_2]) ).

fof(f_60_1,plain,
    ! [B_1_1,B_2_1] : is_bool(hAPP_f82569901l_bool(B_1_1,B_2_1)),
    inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__prod_Itc__List__Olist_Itc__List__Olist_Itc__String__O]) ).

fof(f_60_2,plain,
    ! [U_120,U_119] : is_bool(hAPP_f82569901l_bool(U_120,U_119)),
    inference(variable_rename,[status(thm)],[f_60_1]) ).

cnf(f_60_3,plain,
    is_bool(hAPP_f82569901l_bool(U_120,U_119)),
    inference(clausify,[status(thm)],[f_60_2]) ).

fof(f_61_1,plain,
    ! [B_1_1,B_2_1] : is_bool(hAPP_f479632753l_bool(B_1_1,B_2_1)),
    inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__prod_Itc__List__Olist_Itc__List__Olist_Itc__String__O_009]) ).

fof(f_61_2,plain,
    ! [U_122,U_121] : is_bool(hAPP_f479632753l_bool(U_122,U_121)),
    inference(variable_rename,[status(thm)],[f_61_1]) ).

cnf(f_61_3,plain,
    is_bool(hAPP_f479632753l_bool(U_122,U_121)),
    inference(clausify,[status(thm)],[f_61_2]) ).

fof(f_62_1,plain,
    ! [B_1_1,B_2_1] : is_bool(hAPP_f1780084320l_bool(B_1_1,B_2_1)),
    inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__prod_Itc__List__Olist_Itc__List__Olist_Itc__String__O_010]) ).

fof(f_62_2,plain,
    ! [U_124,U_123] : is_bool(hAPP_f1780084320l_bool(U_124,U_123)),
    inference(variable_rename,[status(thm)],[f_62_1]) ).

cnf(f_62_3,plain,
    is_bool(hAPP_f1780084320l_bool(U_124,U_123)),
    inference(clausify,[status(thm)],[f_62_2]) ).

fof(f_63_1,plain,
    ! [B_1_1,B_2_1] : is_bool(hAPP_f2106398425l_bool(B_1_1,B_2_1)),
    inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__List_]) ).

fof(f_63_2,plain,
    ! [U_126,U_125] : is_bool(hAPP_f2106398425l_bool(U_126,U_125)),
    inference(variable_rename,[status(thm)],[f_63_1]) ).

cnf(f_63_3,plain,
    is_bool(hAPP_f2106398425l_bool(U_126,U_125)),
    inference(clausify,[status(thm)],[f_63_2]) ).

fof(f_64_1,plain,
    ! [B_1_1,B_2_1] : is_bool(hAPP_f1715346603l_bool(B_1_1,B_2_1)),
    inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__List__011]) ).

fof(f_64_2,plain,
    ! [U_128,U_127] : is_bool(hAPP_f1715346603l_bool(U_128,U_127)),
    inference(variable_rename,[status(thm)],[f_64_1]) ).

cnf(f_64_3,plain,
    is_bool(hAPP_f1715346603l_bool(U_128,U_127)),
    inference(clausify,[status(thm)],[f_64_2]) ).

fof(f_65_1,plain,
    ! [B_1_1,B_2_1] : is_bool(hAPP_f1134950784l_bool(B_1_1,B_2_1)),
    inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__fun_I]) ).

fof(f_65_2,plain,
    ! [U_130,U_129] : is_bool(hAPP_f1134950784l_bool(U_130,U_129)),
    inference(variable_rename,[status(thm)],[f_65_1]) ).

cnf(f_65_3,plain,
    is_bool(hAPP_f1134950784l_bool(U_130,U_129)),
    inference(clausify,[status(thm)],[f_65_2]) ).

fof(f_66_1,plain,
    ! [B_1_1,B_2_1] : is_bool(hAPP_f515912112l_bool(B_1_1,B_2_1)),
    inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__prod_]) ).

fof(f_66_2,plain,
    ! [U_132,U_131] : is_bool(hAPP_f515912112l_bool(U_132,U_131)),
    inference(variable_rename,[status(thm)],[f_66_1]) ).

cnf(f_66_3,plain,
    is_bool(hAPP_f515912112l_bool(U_132,U_131)),
    inference(clausify,[status(thm)],[f_66_2]) ).

fof(f_67_1,plain,
    ! [B_1_1,B_2_1] : is_bool(hAPP_f483496539l_bool(B_1_1,B_2_1)),
    inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__prod__012]) ).

fof(f_67_2,plain,
    ! [U_134,U_133] : is_bool(hAPP_f483496539l_bool(U_134,U_133)),
    inference(variable_rename,[status(thm)],[f_67_1]) ).

cnf(f_67_3,plain,
    is_bool(hAPP_f483496539l_bool(U_134,U_133)),
    inference(clausify,[status(thm)],[f_67_2]) ).

fof(f_68_1,plain,
    ! [B_1_1,B_2_1] : is_bool(hAPP_f2050077417l_bool(B_1_1,B_2_1)),
    inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__prod__013]) ).

fof(f_68_2,plain,
    ! [U_136,U_135] : is_bool(hAPP_f2050077417l_bool(U_136,U_135)),
    inference(variable_rename,[status(thm)],[f_68_1]) ).

cnf(f_68_3,plain,
    is_bool(hAPP_f2050077417l_bool(U_136,U_135)),
    inference(clausify,[status(thm)],[f_68_2]) ).

fof(f_69_1,plain,
    ! [B_1_1,B_2_1] : is_bool(hAPP_f433445541l_bool(B_1_1,B_2_1)),
    inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__prod_Itc__List__Olist_Itc__Type__Oty_J_Mtc__List__Oli]) ).

fof(f_69_2,plain,
    ! [U_138,U_137] : is_bool(hAPP_f433445541l_bool(U_138,U_137)),
    inference(variable_rename,[status(thm)],[f_69_1]) ).

cnf(f_69_3,plain,
    is_bool(hAPP_f433445541l_bool(U_138,U_137)),
    inference(clausify,[status(thm)],[f_69_2]) ).

fof(f_70_1,plain,
    ! [B_1_1,B_2_1] : is_bool(hAPP_f1746574980l_bool(B_1_1,B_2_1)),
    inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__prod_Itc__List__Olist_Itc__Type__Oty_J_Mtc__prod_Itc_]) ).

fof(f_70_2,plain,
    ! [U_140,U_139] : is_bool(hAPP_f1746574980l_bool(U_140,U_139)),
    inference(variable_rename,[status(thm)],[f_70_1]) ).

cnf(f_70_3,plain,
    is_bool(hAPP_f1746574980l_bool(U_140,U_139)),
    inference(clausify,[status(thm)],[f_70_2]) ).

fof(f_71_1,plain,
    ! [B_1_1,B_2_1] : is_bool(hAPP_f1314764175l_bool(B_1_1,B_2_1)),
    inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__prod_Itc__List__Olist_Itc__Value__Oval_J_Mtc__Expr__O]) ).

fof(f_71_2,plain,
    ! [U_142,U_141] : is_bool(hAPP_f1314764175l_bool(U_142,U_141)),
    inference(variable_rename,[status(thm)],[f_71_1]) ).

cnf(f_71_3,plain,
    is_bool(hAPP_f1314764175l_bool(U_142,U_141)),
    inference(clausify,[status(thm)],[f_71_2]) ).

fof(f_72_1,plain,
    ! [B_1_1,B_2_1] : is_bool(hAPP_f348753975l_bool(B_1_1,B_2_1)),
    inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__prod_Itc__List__Olist_Itc__Value__Oval_J_Mtc__List__O]) ).

fof(f_72_2,plain,
    ! [U_144,U_143] : is_bool(hAPP_f348753975l_bool(U_144,U_143)),
    inference(variable_rename,[status(thm)],[f_72_1]) ).

cnf(f_72_3,plain,
    is_bool(hAPP_f348753975l_bool(U_144,U_143)),
    inference(clausify,[status(thm)],[f_72_2]) ).

fof(f_73_1,plain,
    ! [B_1_1,B_2_1] : is_bool(hAPP_f288221747l_bool(B_1_1,B_2_1)),
    inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__prod_Itc__List__Olist_Itc__prod_Itc__List__Olist_Itc_]) ).

fof(f_73_2,plain,
    ! [U_146,U_145] : is_bool(hAPP_f288221747l_bool(U_146,U_145)),
    inference(variable_rename,[status(thm)],[f_73_1]) ).

cnf(f_73_3,plain,
    is_bool(hAPP_f288221747l_bool(U_146,U_145)),
    inference(clausify,[status(thm)],[f_73_2]) ).

fof(f_74_1,plain,
    ! [B_1_1,B_2_1] : is_bool(hAPP_f1161798306l_bool(B_1_1,B_2_1)),
    inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__prod_Itc__List__Olist_Itc__prod_Itc__List__Olist_Itc__014]) ).

fof(f_74_2,plain,
    ! [U_148,U_147] : is_bool(hAPP_f1161798306l_bool(U_148,U_147)),
    inference(variable_rename,[status(thm)],[f_74_1]) ).

cnf(f_74_3,plain,
    is_bool(hAPP_f1161798306l_bool(U_148,U_147)),
    inference(clausify,[status(thm)],[f_74_2]) ).

fof(f_75_1,plain,
    ! [B_1_1,B_2_1] : is_bool(hAPP_f1748390065l_bool(B_1_1,B_2_1)),
    inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__prod_Itc__List__Olist_Itc__prod_Itc__List__Olist_Itc__015]) ).

fof(f_75_2,plain,
    ! [U_150,U_149] : is_bool(hAPP_f1748390065l_bool(U_150,U_149)),
    inference(variable_rename,[status(thm)],[f_75_1]) ).

cnf(f_75_3,plain,
    is_bool(hAPP_f1748390065l_bool(U_150,U_149)),
    inference(clausify,[status(thm)],[f_75_2]) ).

fof(f_76_1,plain,
    ! [B_1_1,B_2_1] : is_bool(hAPP_f2028441009l_bool(B_1_1,B_2_1)),
    inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__prod_Itc__Value__Oval_Mtc__Value__Oval_J_Mtc__HOL__Ob]) ).

fof(f_76_2,plain,
    ! [U_152,U_151] : is_bool(hAPP_f2028441009l_bool(U_152,U_151)),
    inference(variable_rename,[status(thm)],[f_76_1]) ).

cnf(f_76_3,plain,
    is_bool(hAPP_f2028441009l_bool(U_152,U_151)),
    inference(clausify,[status(thm)],[f_76_2]) ).

fof(f_77_1,plain,
    ! [B_1_1,B_2_1] : is_bool(hAPP_f1661305905l_bool(B_1_1,B_2_1)),
    inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__prod_Itc__fun_Itc__List__Olist_Itc__String__Ochar_J_M]) ).

fof(f_77_2,plain,
    ! [U_154,U_153] : is_bool(hAPP_f1661305905l_bool(U_154,U_153)),
    inference(variable_rename,[status(thm)],[f_77_1]) ).

cnf(f_77_3,plain,
    is_bool(hAPP_f1661305905l_bool(U_154,U_153)),
    inference(clausify,[status(thm)],[f_77_2]) ).

fof(f_78_1,plain,
    ! [B_1_1,B_2_1] : is_bool(hAPP_f966411375l_bool(B_1_1,B_2_1)),
    inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__prod_Itc__fun_Itc__Nat__Onat_Mtc__Option__Ooption_Itc]) ).

fof(f_78_2,plain,
    ! [U_156,U_155] : is_bool(hAPP_f966411375l_bool(U_156,U_155)),
    inference(variable_rename,[status(thm)],[f_78_1]) ).

cnf(f_78_3,plain,
    is_bool(hAPP_f966411375l_bool(U_156,U_155)),
    inference(clausify,[status(thm)],[f_78_2]) ).

fof(f_79_1,plain,
    ! [B_1_1,B_2_1] : is_bool(hAPP_f1754555101l_bool(B_1_1,B_2_1)),
    inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__prod_Itc__fun_Itc__Nat__Onat_Mtc__Option__Ooption_Itc_016]) ).

fof(f_79_2,plain,
    ! [U_158,U_157] : is_bool(hAPP_f1754555101l_bool(U_158,U_157)),
    inference(variable_rename,[status(thm)],[f_79_1]) ).

cnf(f_79_3,plain,
    is_bool(hAPP_f1754555101l_bool(U_158,U_157)),
    inference(clausify,[status(thm)],[f_79_2]) ).

fof(f_80_1,plain,
    ! [B_1_1,B_2_1] : is_bool(hAPP_f983152497l_bool(B_1_1,B_2_1)),
    inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__prod_Itc__fun_Itc__prod_Itc__List__Olist_Itc__String_]) ).

fof(f_80_2,plain,
    ! [U_160,U_159] : is_bool(hAPP_f983152497l_bool(U_160,U_159)),
    inference(variable_rename,[status(thm)],[f_80_1]) ).

cnf(f_80_3,plain,
    is_bool(hAPP_f983152497l_bool(U_160,U_159)),
    inference(clausify,[status(thm)],[f_80_2]) ).

fof(f_81_1,plain,
    ! [B_1_1,B_2_1] : is_bool(hAPP_f126136681l_bool(B_1_1,B_2_1)),
    inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__prod_Itc__prod_Itc__Expr__Obop_Mtc__prod_Itc__Value__]) ).

fof(f_81_2,plain,
    ! [U_162,U_161] : is_bool(hAPP_f126136681l_bool(U_162,U_161)),
    inference(variable_rename,[status(thm)],[f_81_1]) ).

cnf(f_81_3,plain,
    is_bool(hAPP_f126136681l_bool(U_162,U_161)),
    inference(clausify,[status(thm)],[f_81_2]) ).

fof(f_82_1,plain,
    ! [B_1_1,B_2_1] : is_bool(hAPP_f1453283057l_bool(B_1_1,B_2_1)),
    inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__prod_Itc__prod_Itc__Expr__Oexp_Itc__List__Olist_Itc__]) ).

fof(f_82_2,plain,
    ! [U_164,U_163] : is_bool(hAPP_f1453283057l_bool(U_164,U_163)),
    inference(variable_rename,[status(thm)],[f_82_1]) ).

cnf(f_82_3,plain,
    is_bool(hAPP_f1453283057l_bool(U_164,U_163)),
    inference(clausify,[status(thm)],[f_82_2]) ).

fof(f_83_1,plain,
    ! [B_1_1,B_2_1] : is_bool(hAPP_f458849545l_bool(B_1_1,B_2_1)),
    inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__prod_Itc__prod_Itc__List__Olist_Itc__Expr__Oexp_Itc__]) ).

fof(f_83_2,plain,
    ! [U_166,U_165] : is_bool(hAPP_f458849545l_bool(U_166,U_165)),
    inference(variable_rename,[status(thm)],[f_83_1]) ).

cnf(f_83_3,plain,
    is_bool(hAPP_f458849545l_bool(U_166,U_165)),
    inference(clausify,[status(thm)],[f_83_2]) ).

fof(f_84_1,plain,
    ! [B_1_1,B_2_1] : is_bool(hAPP_f595031537l_bool(B_1_1,B_2_1)),
    inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__prod_Itc__prod_Itc__List__Olist_Itc__List__Olist_Itc_]) ).

fof(f_84_2,plain,
    ! [U_168,U_167] : is_bool(hAPP_f595031537l_bool(U_168,U_167)),
    inference(variable_rename,[status(thm)],[f_84_1]) ).

cnf(f_84_3,plain,
    is_bool(hAPP_f595031537l_bool(U_168,U_167)),
    inference(clausify,[status(thm)],[f_84_2]) ).

fof(f_85_1,plain,
    ! [B_1_1,B_2_1] : is_bool(hAPP_f528956081l_bool(B_1_1,B_2_1)),
    inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__prod_Itc__prod_Itc__List__Olist_Itc__List__Olist_Itc__017]) ).

fof(f_85_2,plain,
    ! [U_170,U_169] : is_bool(hAPP_f528956081l_bool(U_170,U_169)),
    inference(variable_rename,[status(thm)],[f_85_1]) ).

cnf(f_85_3,plain,
    is_bool(hAPP_f528956081l_bool(U_170,U_169)),
    inference(clausify,[status(thm)],[f_85_2]) ).

fof(f_86_1,plain,
    ! [B_1_1,B_2_1] : is_bool(hAPP_f851858423l_bool(B_1_1,B_2_1)),
    inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__prod_Itc__prod_Itc__List__Olist_Itc__String__Ochar_J_]) ).

fof(f_86_2,plain,
    ! [U_172,U_171] : is_bool(hAPP_f851858423l_bool(U_172,U_171)),
    inference(variable_rename,[status(thm)],[f_86_1]) ).

cnf(f_86_3,plain,
    is_bool(hAPP_f851858423l_bool(U_172,U_171)),
    inference(clausify,[status(thm)],[f_86_2]) ).

fof(f_87_1,plain,
    ! [B_1_1,B_2_1] : is_bool(hAPP_f665343921l_bool(B_1_1,B_2_1)),
    inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__prod_Itc__prod_Itc__List__Olist_Itc__String__Ochar_J__018]) ).

fof(f_87_2,plain,
    ! [U_174,U_173] : is_bool(hAPP_f665343921l_bool(U_174,U_173)),
    inference(variable_rename,[status(thm)],[f_87_1]) ).

cnf(f_87_3,plain,
    is_bool(hAPP_f665343921l_bool(U_174,U_173)),
    inference(clausify,[status(thm)],[f_87_2]) ).

fof(f_88_1,plain,
    ! [B_1_1,B_2_1] : is_bool(hAPP_f538118321l_bool(B_1_1,B_2_1)),
    inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__prod_Itc__prod_Itc__List__Olist_Itc__String__Ochar_J__019]) ).

fof(f_88_2,plain,
    ! [U_176,U_175] : is_bool(hAPP_f538118321l_bool(U_176,U_175)),
    inference(variable_rename,[status(thm)],[f_88_1]) ).

cnf(f_88_3,plain,
    is_bool(hAPP_f538118321l_bool(U_176,U_175)),
    inference(clausify,[status(thm)],[f_88_2]) ).

fof(f_89_1,plain,
    ! [B_1_1,B_2_1] : is_bool(hAPP_f272179441l_bool(B_1_1,B_2_1)),
    inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__prod_Itc__prod_Itc__List__Olist_Itc__String__Ochar_J__020]) ).

fof(f_89_2,plain,
    ! [U_178,U_177] : is_bool(hAPP_f272179441l_bool(U_178,U_177)),
    inference(variable_rename,[status(thm)],[f_89_1]) ).

cnf(f_89_3,plain,
    is_bool(hAPP_f272179441l_bool(U_178,U_177)),
    inference(clausify,[status(thm)],[f_89_2]) ).

fof(f_90_1,plain,
    ! [B_1_1,B_2_1] : is_bool(hAPP_f258424141l_bool(B_1_1,B_2_1)),
    inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__prod_Itc__prod_Itc__List__Olist_Itc__Type__Oty_J_Mtc_]) ).

fof(f_90_2,plain,
    ! [U_180,U_179] : is_bool(hAPP_f258424141l_bool(U_180,U_179)),
    inference(variable_rename,[status(thm)],[f_90_1]) ).

cnf(f_90_3,plain,
    is_bool(hAPP_f258424141l_bool(U_180,U_179)),
    inference(clausify,[status(thm)],[f_90_2]) ).

fof(f_91_1,plain,
    ! [B_1_1,B_2_1] : is_bool(hAPP_f1145574243l_bool(B_1_1,B_2_1)),
    inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__prod_Itc__prod_Itc__List__Olist_Itc__Value__Oval_J_Mt]) ).

fof(f_91_2,plain,
    ! [U_182,U_181] : is_bool(hAPP_f1145574243l_bool(U_182,U_181)),
    inference(variable_rename,[status(thm)],[f_91_1]) ).

cnf(f_91_3,plain,
    is_bool(hAPP_f1145574243l_bool(U_182,U_181)),
    inference(clausify,[status(thm)],[f_91_2]) ).

fof(f_92_1,plain,
    ! [B_1_1,B_2_1] : is_bool(hAPP_f126445617l_bool(B_1_1,B_2_1)),
    inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__prod_Itc__prod_Itc__List__Olist_Itc__prod_Itc__List__]) ).

fof(f_92_2,plain,
    ! [U_184,U_183] : is_bool(hAPP_f126445617l_bool(U_184,U_183)),
    inference(variable_rename,[status(thm)],[f_92_1]) ).

cnf(f_92_3,plain,
    is_bool(hAPP_f126445617l_bool(U_184,U_183)),
    inference(clausify,[status(thm)],[f_92_2]) ).

fof(f_93_1,plain,
    ! [B_1_1,B_2_1] : is_bool(hAPP_f2129782055l_bool(B_1_1,B_2_1)),
    inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__prod_Itc__prod_Itc__Value__Oval_Mtc__Value__Oval_J_Mt]) ).

fof(f_93_2,plain,
    ! [U_186,U_185] : is_bool(hAPP_f2129782055l_bool(U_186,U_185)),
    inference(variable_rename,[status(thm)],[f_93_1]) ).

cnf(f_93_3,plain,
    is_bool(hAPP_f2129782055l_bool(U_186,U_185)),
    inference(clausify,[status(thm)],[f_93_2]) ).

fof(f_94_1,plain,
    ! [B_1_1,B_2_1] : is_bool(hAPP_f1297673713l_bool(B_1_1,B_2_1)),
    inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__prod_Itc__prod_Itc__fun_Itc__Nat__Onat_Mtc__Option__O]) ).

fof(f_94_2,plain,
    ! [U_188,U_187] : is_bool(hAPP_f1297673713l_bool(U_188,U_187)),
    inference(variable_rename,[status(thm)],[f_94_1]) ).

cnf(f_94_3,plain,
    is_bool(hAPP_f1297673713l_bool(U_188,U_187)),
    inference(clausify,[status(thm)],[f_94_2]) ).

fof(f_95_1,plain,
    ! [B_1_1,B_2_1] : is_bool(hAPP_f1261741735l_bool(B_1_1,B_2_1)),
    inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__prod_Itc__prod_Itc__prod_Itc__Expr__Oexp_Itc__List__O]) ).

fof(f_95_2,plain,
    ! [U_190,U_189] : is_bool(hAPP_f1261741735l_bool(U_190,U_189)),
    inference(variable_rename,[status(thm)],[f_95_1]) ).

cnf(f_95_3,plain,
    is_bool(hAPP_f1261741735l_bool(U_190,U_189)),
    inference(clausify,[status(thm)],[f_95_2]) ).

fof(f_96_1,plain,
    ! [B_1_1,B_2_1] : is_bool(hAPP_f1980787287l_bool(B_1_1,B_2_1)),
    inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__prod_Itc__prod_Itc__prod_Itc__List__Olist_Itc__Expr__]) ).

fof(f_96_2,plain,
    ! [U_192,U_191] : is_bool(hAPP_f1980787287l_bool(U_192,U_191)),
    inference(variable_rename,[status(thm)],[f_96_1]) ).

cnf(f_96_3,plain,
    is_bool(hAPP_f1980787287l_bool(U_192,U_191)),
    inference(clausify,[status(thm)],[f_96_2]) ).

fof(f_97_1,plain,
    ! [B_1_1,B_2_1] :
      ( is_bool(hAPP_P1085566419p_bool(B_1_1,B_2_1))
      | ~ is_fun1083000568p_bool(B_1_1) ),
    inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__prod_Itc__Expr__Obop_Mtc__Expr__Obop_J_000tc__HOL__Obool]) ).

fof(f_97_2,plain,
    ! [U_194,U_193] :
      ( is_bool(hAPP_P1085566419p_bool(U_194,U_193))
      | ~ is_fun1083000568p_bool(U_194) ),
    inference(variable_rename,[status(thm)],[f_97_1]) ).

fof(f_97_3,plain,
    ! [U_194] :
      ( ! [U_193] : is_bool(hAPP_P1085566419p_bool(U_194,U_193))
      | ~ is_fun1083000568p_bool(U_194) ),
    inference(miniscope,[status(thm)],[f_97_2]) ).

cnf(f_97_4,plain,
    ( is_bool(hAPP_P1085566419p_bool(U_194,U_193))
    | ~ is_fun1083000568p_bool(U_194) ),
    inference(clausify,[status(thm)],[f_97_3]) ).

fof(f_98_1,plain,
    ! [B_1_1,B_2_1] : is_bool(hAPP_P943837928l_bool(B_1_1,B_2_1)),
    inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__prod_Itc__Expr__Obop_Mtc__prod_Itc__Value__Oval_Mtc__Value__Ov]) ).

fof(f_98_2,plain,
    ! [U_196,U_195] : is_bool(hAPP_P943837928l_bool(U_196,U_195)),
    inference(variable_rename,[status(thm)],[f_98_1]) ).

cnf(f_98_3,plain,
    is_bool(hAPP_P943837928l_bool(U_196,U_195)),
    inference(clausify,[status(thm)],[f_98_2]) ).

fof(f_99_1,plain,
    ! [B_1_1,B_2_1] : is_bool(hAPP_P1632759357r_bool(B_1_1,B_2_1)),
    inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__prod_Itc__Expr__Oexp_Itc__List__Olist_Itc__String__Ochar_J_J_M]) ).

fof(f_99_2,plain,
    ! [U_198,U_197] : is_bool(hAPP_P1632759357r_bool(U_198,U_197)),
    inference(variable_rename,[status(thm)],[f_99_1]) ).

cnf(f_99_3,plain,
    is_bool(hAPP_P1632759357r_bool(U_198,U_197)),
    inference(clausify,[status(thm)],[f_99_2]) ).

fof(f_100_1,plain,
    ! [B_1_1,B_2_1] : is_bool(hAPP_P1708370145l_bool(B_1_1,B_2_1)),
    inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__prod_Itc__Expr__Oexp_Itc__List__Olist_Itc__String__Ochar_J_J_M_021]) ).

fof(f_100_2,plain,
    ! [U_200,U_199] : is_bool(hAPP_P1708370145l_bool(U_200,U_199)),
    inference(variable_rename,[status(thm)],[f_100_1]) ).

cnf(f_100_3,plain,
    is_bool(hAPP_P1708370145l_bool(U_200,U_199)),
    inference(clausify,[status(thm)],[f_100_2]) ).

fof(f_101_1,plain,
    ! [B_1_1,B_2_1] : is_bool(hAPP_P499022727r_bool(B_1_1,B_2_1)),
    inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__prod_Itc__List__Olist_Itc__Expr__Oexp_Itc__List__Olist_Itc__St]) ).

fof(f_101_2,plain,
    ! [U_202,U_201] : is_bool(hAPP_P499022727r_bool(U_202,U_201)),
    inference(variable_rename,[status(thm)],[f_101_1]) ).

cnf(f_101_3,plain,
    is_bool(hAPP_P499022727r_bool(U_202,U_201)),
    inference(clausify,[status(thm)],[f_101_2]) ).

fof(f_102_1,plain,
    ! [B_1_1,B_2_1] : is_bool(hAPP_P71593144l_bool(B_1_1,B_2_1)),
    inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__prod_Itc__List__Olist_Itc__Expr__Oexp_Itc__List__Olist_Itc__St_022]) ).

fof(f_102_2,plain,
    ! [U_204,U_203] : is_bool(hAPP_P71593144l_bool(U_204,U_203)),
    inference(variable_rename,[status(thm)],[f_102_1]) ).

cnf(f_102_3,plain,
    is_bool(hAPP_P71593144l_bool(U_204,U_203)),
    inference(clausify,[status(thm)],[f_102_2]) ).

fof(f_103_1,plain,
    ! [B_1_1,B_2_1] : is_bool(hAPP_P2014166431r_bool(B_1_1,B_2_1)),
    inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__prod_Itc__List__Olist_Itc__List__Olist_Itc__String__Ochar_J_J_]) ).

fof(f_103_2,plain,
    ! [U_206,U_205] : is_bool(hAPP_P2014166431r_bool(U_206,U_205)),
    inference(variable_rename,[status(thm)],[f_103_1]) ).

cnf(f_103_3,plain,
    is_bool(hAPP_P2014166431r_bool(U_206,U_205)),
    inference(clausify,[status(thm)],[f_103_2]) ).

fof(f_104_1,plain,
    ! [B_1_1,B_2_1] : is_bool(hAPP_P476431815r_bool(B_1_1,B_2_1)),
    inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__prod_Itc__List__Olist_Itc__List__Olist_Itc__String__Ochar_J_J__023]) ).

fof(f_104_2,plain,
    ! [U_208,U_207] : is_bool(hAPP_P476431815r_bool(U_208,U_207)),
    inference(variable_rename,[status(thm)],[f_104_1]) ).

cnf(f_104_3,plain,
    is_bool(hAPP_P476431815r_bool(U_208,U_207)),
    inference(clausify,[status(thm)],[f_104_2]) ).

fof(f_105_1,plain,
    ! [B_1_1,B_2_1] : is_bool(hAPP_P92196306r_bool(B_1_1,B_2_1)),
    inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__prod_Itc__List__Olist_Itc__List__Olist_Itc__String__Ochar_J_J__024]) ).

fof(f_105_2,plain,
    ! [U_210,U_209] : is_bool(hAPP_P92196306r_bool(U_210,U_209)),
    inference(variable_rename,[status(thm)],[f_105_1]) ).

cnf(f_105_3,plain,
    is_bool(hAPP_P92196306r_bool(U_210,U_209)),
    inference(clausify,[status(thm)],[f_105_2]) ).

fof(f_106_1,plain,
    ! [B_1_1,B_2_1] : is_bool(hAPP_P449474095r_bool(B_1_1,B_2_1)),
    inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__List__Olist_It]) ).

fof(f_106_2,plain,
    ! [U_212,U_211] : is_bool(hAPP_P449474095r_bool(U_212,U_211)),
    inference(variable_rename,[status(thm)],[f_106_1]) ).

cnf(f_106_3,plain,
    is_bool(hAPP_P449474095r_bool(U_212,U_211)),
    inference(clausify,[status(thm)],[f_106_2]) ).

fof(f_107_1,plain,
    ! [B_1_1,B_2_1] : is_bool(hAPP_P748443392y_bool(B_1_1,B_2_1)),
    inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__Type__Oty_J_00]) ).

fof(f_107_2,plain,
    ! [U_214,U_213] : is_bool(hAPP_P748443392y_bool(U_214,U_213)),
    inference(variable_rename,[status(thm)],[f_107_1]) ).

cnf(f_107_3,plain,
    is_bool(hAPP_P748443392y_bool(U_214,U_213)),
    inference(clausify,[status(thm)],[f_107_2]) ).

fof(f_108_1,plain,
    ! [B_1_1,B_2_1] : is_bool(hAPP_P1235399154l_bool(B_1_1,B_2_1)),
    inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__fun_Itc__prod_]) ).

fof(f_108_2,plain,
    ! [U_216,U_215] : is_bool(hAPP_P1235399154l_bool(U_216,U_215)),
    inference(variable_rename,[status(thm)],[f_108_1]) ).

cnf(f_108_3,plain,
    is_bool(hAPP_P1235399154l_bool(U_216,U_215)),
    inference(clausify,[status(thm)],[f_108_2]) ).

fof(f_109_1,plain,
    ! [B_1_1,B_2_1] : is_bool(hAPP_P1680401186r_bool(B_1_1,B_2_1)),
    inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__prod_Itc__List]) ).

fof(f_109_2,plain,
    ! [U_218,U_217] : is_bool(hAPP_P1680401186r_bool(U_218,U_217)),
    inference(variable_rename,[status(thm)],[f_109_1]) ).

cnf(f_109_3,plain,
    is_bool(hAPP_P1680401186r_bool(U_218,U_217)),
    inference(clausify,[status(thm)],[f_109_2]) ).

fof(f_110_1,plain,
    ! [B_1_1,B_2_1] : is_bool(hAPP_P1384137393r_bool(B_1_1,B_2_1)),
    inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__prod_Itc__List_025]) ).

fof(f_110_2,plain,
    ! [U_220,U_219] : is_bool(hAPP_P1384137393r_bool(U_220,U_219)),
    inference(variable_rename,[status(thm)],[f_110_1]) ).

cnf(f_110_3,plain,
    is_bool(hAPP_P1384137393r_bool(U_220,U_219)),
    inference(clausify,[status(thm)],[f_110_2]) ).

fof(f_111_1,plain,
    ! [B_1_1,B_2_1] : is_bool(hAPP_P659547099r_bool(B_1_1,B_2_1)),
    inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__prod_Itc__List_026]) ).

fof(f_111_2,plain,
    ! [U_222,U_221] : is_bool(hAPP_P659547099r_bool(U_222,U_221)),
    inference(variable_rename,[status(thm)],[f_111_1]) ).

cnf(f_111_3,plain,
    is_bool(hAPP_P659547099r_bool(U_222,U_221)),
    inference(clausify,[status(thm)],[f_111_2]) ).

fof(f_112_1,plain,
    ! [B_1_1,B_2_1] : is_bool(hAPP_P1574824955y_bool(B_1_1,B_2_1)),
    inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__prod_Itc__List__Olist_Itc__Type__Oty_J_Mtc__List__Olist_Itc__T]) ).

fof(f_112_2,plain,
    ! [U_224,U_223] : is_bool(hAPP_P1574824955y_bool(U_224,U_223)),
    inference(variable_rename,[status(thm)],[f_112_1]) ).

cnf(f_112_3,plain,
    is_bool(hAPP_P1574824955y_bool(U_224,U_223)),
    inference(clausify,[status(thm)],[f_112_2]) ).

fof(f_113_1,plain,
    ! [B_1_1,B_2_1] : is_bool(hAPP_P1907982426r_bool(B_1_1,B_2_1)),
    inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__prod_Itc__List__Olist_Itc__Type__Oty_J_Mtc__prod_Itc__List__Ol]) ).

fof(f_113_2,plain,
    ! [U_226,U_225] : is_bool(hAPP_P1907982426r_bool(U_226,U_225)),
    inference(variable_rename,[status(thm)],[f_113_1]) ).

cnf(f_113_3,plain,
    is_bool(hAPP_P1907982426r_bool(U_226,U_225)),
    inference(clausify,[status(thm)],[f_113_2]) ).

fof(f_114_1,plain,
    ! [B_1_1,B_2_1] : is_bool(hAPP_P1187139874r_bool(B_1_1,B_2_1)),
    inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__prod_Itc__List__Olist_Itc__Type__Oty_J_Mtc__prod_Itc__Type__Ot]) ).

fof(f_114_2,plain,
    ! [U_228,U_227] : is_bool(hAPP_P1187139874r_bool(U_228,U_227)),
    inference(variable_rename,[status(thm)],[f_114_1]) ).

cnf(f_114_3,plain,
    is_bool(hAPP_P1187139874r_bool(U_228,U_227)),
    inference(clausify,[status(thm)],[f_114_2]) ).

fof(f_115_1,plain,
    ! [B_1_1,B_2_1] : is_bool(hAPP_P2118621157r_bool(B_1_1,B_2_1)),
    inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__prod_Itc__List__Olist_Itc__Value__Oval_J_Mtc__Expr__Oexp_Itc__]) ).

fof(f_115_2,plain,
    ! [U_230,U_229] : is_bool(hAPP_P2118621157r_bool(U_230,U_229)),
    inference(variable_rename,[status(thm)],[f_115_1]) ).

cnf(f_115_3,plain,
    is_bool(hAPP_P2118621157r_bool(U_230,U_229)),
    inference(clausify,[status(thm)],[f_115_2]) ).

fof(f_116_1,plain,
    ! [B_1_1,B_2_1] : is_bool(hAPP_P2115985549l_bool(B_1_1,B_2_1)),
    inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__prod_Itc__List__Olist_Itc__Value__Oval_J_Mtc__List__Olist_Itc_]) ).

fof(f_116_2,plain,
    ! [U_232,U_231] : is_bool(hAPP_P2115985549l_bool(U_232,U_231)),
    inference(variable_rename,[status(thm)],[f_116_1]) ).

cnf(f_116_3,plain,
    is_bool(hAPP_P2115985549l_bool(U_232,U_231)),
    inference(clausify,[status(thm)],[f_116_2]) ).

fof(f_117_1,plain,
    ! [B_1_1,B_2_1] : is_bool(hAPP_P2053453961y_bool(B_1_1,B_2_1)),
    inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__prod_Itc__List__Olist_Itc__prod_Itc__List__Olist_Itc__String__]) ).

fof(f_117_2,plain,
    ! [U_234,U_233] : is_bool(hAPP_P2053453961y_bool(U_234,U_233)),
    inference(variable_rename,[status(thm)],[f_117_1]) ).

cnf(f_117_3,plain,
    is_bool(hAPP_P2053453961y_bool(U_234,U_233)),
    inference(clausify,[status(thm)],[f_117_2]) ).

fof(f_118_1,plain,
    ! [B_1_1,B_2_1] : is_bool(hAPP_P828904212r_bool(B_1_1,B_2_1)),
    inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__prod_Itc__List__Olist_Itc__prod_Itc__List__Olist_Itc__String___027]) ).

fof(f_118_2,plain,
    ! [U_236,U_235] : is_bool(hAPP_P828904212r_bool(U_236,U_235)),
    inference(variable_rename,[status(thm)],[f_118_1]) ).

cnf(f_118_3,plain,
    is_bool(hAPP_P828904212r_bool(U_236,U_235)),
    inference(clausify,[status(thm)],[f_118_2]) ).

fof(f_119_1,plain,
    ! [B_1_1,B_2_1] : is_bool(hAPP_P1926698759r_bool(B_1_1,B_2_1)),
    inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__prod_Itc__List__Olist_Itc__prod_Itc__List__Olist_Itc__String___028]) ).

fof(f_119_2,plain,
    ! [U_238,U_237] : is_bool(hAPP_P1926698759r_bool(U_238,U_237)),
    inference(variable_rename,[status(thm)],[f_119_1]) ).

cnf(f_119_3,plain,
    is_bool(hAPP_P1926698759r_bool(U_238,U_237)),
    inference(clausify,[status(thm)],[f_119_2]) ).

fof(f_120_1,plain,
    ! [B_1_1,B_2_1] : is_bool(hAPP_P929938951l_bool(B_1_1,B_2_1)),
    inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__prod_Itc__Value__Oval_Mtc__Value__Oval_J_000tc__HOL__Obool]) ).

fof(f_120_2,plain,
    ! [U_240,U_239] : is_bool(hAPP_P929938951l_bool(U_240,U_239)),
    inference(variable_rename,[status(thm)],[f_120_1]) ).

cnf(f_120_3,plain,
    is_bool(hAPP_P929938951l_bool(U_240,U_239)),
    inference(clausify,[status(thm)],[f_120_2]) ).

fof(f_121_1,plain,
    ! [B_1_1,B_2_1] : is_bool(hAPP_P468446343l_bool(B_1_1,B_2_1)),
    inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__prod_Itc__fun_Itc__List__Olist_Itc__String__Ochar_J_Mtc__Optio]) ).

fof(f_121_2,plain,
    ! [U_242,U_241] : is_bool(hAPP_P468446343l_bool(U_242,U_241)),
    inference(variable_rename,[status(thm)],[f_121_1]) ).

cnf(f_121_3,plain,
    is_bool(hAPP_P468446343l_bool(U_242,U_241)),
    inference(clausify,[status(thm)],[f_121_2]) ).

fof(f_122_1,plain,
    ! [B_1_1,B_2_1] : is_bool(hAPP_P159683425l_bool(B_1_1,B_2_1)),
    inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__prod_Itc__fun_Itc__Nat__Onat_Mtc__Option__Ooption_Itc__prod_It]) ).

fof(f_122_2,plain,
    ! [U_244,U_243] : is_bool(hAPP_P159683425l_bool(U_244,U_243)),
    inference(variable_rename,[status(thm)],[f_122_1]) ).

cnf(f_122_3,plain,
    is_bool(hAPP_P159683425l_bool(U_244,U_243)),
    inference(clausify,[status(thm)],[f_122_2]) ).

fof(f_123_1,plain,
    ! [B_1_1,B_2_1] : is_bool(hAPP_P2077557811l_bool(B_1_1,B_2_1)),
    inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__prod_Itc__fun_Itc__Nat__Onat_Mtc__Option__Ooption_Itc__prod_It_029]) ).

fof(f_123_2,plain,
    ! [U_246,U_245] : is_bool(hAPP_P2077557811l_bool(U_246,U_245)),
    inference(variable_rename,[status(thm)],[f_123_1]) ).

cnf(f_123_3,plain,
    is_bool(hAPP_P2077557811l_bool(U_246,U_245)),
    inference(clausify,[status(thm)],[f_123_2]) ).

fof(f_124_1,plain,
    ! [B_1_1,B_2_1] : is_bool(hAPP_P504978887l_bool(B_1_1,B_2_1)),
    inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__prod_Itc__fun_Itc__prod_Itc__List__Olist_Itc__String__Ochar_J_]) ).

fof(f_124_2,plain,
    ! [U_248,U_247] : is_bool(hAPP_P504978887l_bool(U_248,U_247)),
    inference(variable_rename,[status(thm)],[f_124_1]) ).

cnf(f_124_3,plain,
    is_bool(hAPP_P504978887l_bool(U_248,U_247)),
    inference(clausify,[status(thm)],[f_124_2]) ).

fof(f_125_1,plain,
    ! [B_1_1,B_2_1] : is_bool(hAPP_P738987199l_bool(B_1_1,B_2_1)),
    inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__prod_Itc__prod_Itc__Expr__Obop_Mtc__prod_Itc__Value__Oval_Mtc_]) ).

fof(f_125_2,plain,
    ! [U_250,U_249] : is_bool(hAPP_P738987199l_bool(U_250,U_249)),
    inference(variable_rename,[status(thm)],[f_125_1]) ).

cnf(f_125_3,plain,
    is_bool(hAPP_P738987199l_bool(U_250,U_249)),
    inference(clausify,[status(thm)],[f_125_2]) ).

fof(f_126_1,plain,
    ! [B_1_1,B_2_1] : is_bool(hAPP_P282169671l_bool(B_1_1,B_2_1)),
    inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__prod_Itc__prod_Itc__Expr__Oexp_Itc__List__Olist_Itc__String__O]) ).

fof(f_126_2,plain,
    ! [U_252,U_251] : is_bool(hAPP_P282169671l_bool(U_252,U_251)),
    inference(variable_rename,[status(thm)],[f_126_1]) ).

cnf(f_126_3,plain,
    is_bool(hAPP_P282169671l_bool(U_252,U_251)),
    inference(clausify,[status(thm)],[f_126_2]) ).

fof(f_127_1,plain,
    ! [B_1_1,B_2_1] : is_bool(hAPP_P1333315679l_bool(B_1_1,B_2_1)),
    inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__prod_Itc__prod_Itc__List__Olist_Itc__Expr__Oexp_Itc__List__Oli]) ).

fof(f_127_2,plain,
    ! [U_254,U_253] : is_bool(hAPP_P1333315679l_bool(U_254,U_253)),
    inference(variable_rename,[status(thm)],[f_127_1]) ).

cnf(f_127_3,plain,
    is_bool(hAPP_P1333315679l_bool(U_254,U_253)),
    inference(clausify,[status(thm)],[f_127_2]) ).

fof(f_128_1,plain,
    ! [B_1_1,B_2_1] : is_bool(hAPP_P1002912327r_bool(B_1_1,B_2_1)),
    inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__prod_Itc__prod_Itc__List__Olist_Itc__List__Olist_Itc__String__]) ).

fof(f_128_2,plain,
    ! [U_256,U_255] : is_bool(hAPP_P1002912327r_bool(U_256,U_255)),
    inference(variable_rename,[status(thm)],[f_128_1]) ).

cnf(f_128_3,plain,
    is_bool(hAPP_P1002912327r_bool(U_256,U_255)),
    inference(clausify,[status(thm)],[f_128_2]) ).

fof(f_129_1,plain,
    ! [B_1_1,B_2_1] : is_bool(hAPP_P824029447r_bool(B_1_1,B_2_1)),
    inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__prod_Itc__prod_Itc__List__Olist_Itc__List__Olist_Itc__String___030]) ).

fof(f_129_2,plain,
    ! [U_258,U_257] : is_bool(hAPP_P824029447r_bool(U_258,U_257)),
    inference(variable_rename,[status(thm)],[f_129_1]) ).

cnf(f_129_3,plain,
    is_bool(hAPP_P824029447r_bool(U_258,U_257)),
    inference(clausify,[status(thm)],[f_129_2]) ).

fof(f_130_1,plain,
    ! [B_1_1,B_2_1] : is_bool(hAPP_P27757617y_bool(B_1_1,B_2_1)),
    inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__prod_Itc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__List]) ).

fof(f_130_2,plain,
    ! [U_260,U_259] : is_bool(hAPP_P27757617y_bool(U_260,U_259)),
    inference(variable_rename,[status(thm)],[f_130_1]) ).

cnf(f_130_3,plain,
    is_bool(hAPP_P27757617y_bool(U_260,U_259)),
    inference(clausify,[status(thm)],[f_130_2]) ).

fof(f_131_1,plain,
    ! [B_1_1,B_2_1] : is_bool(hAPP_P2010574925r_bool(B_1_1,B_2_1)),
    inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__prod_Itc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__List_031]) ).

fof(f_131_2,plain,
    ! [U_262,U_261] : is_bool(hAPP_P2010574925r_bool(U_262,U_261)),
    inference(variable_rename,[status(thm)],[f_131_1]) ).

cnf(f_131_3,plain,
    is_bool(hAPP_P2010574925r_bool(U_262,U_261)),
    inference(clausify,[status(thm)],[f_131_2]) ).

fof(f_132_1,plain,
    ! [B_1_1,B_2_1] : is_bool(hAPP_P124632071l_bool(B_1_1,B_2_1)),
    inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__prod_Itc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__fun_]) ).

fof(f_132_2,plain,
    ! [U_264,U_263] : is_bool(hAPP_P124632071l_bool(U_264,U_263)),
    inference(variable_rename,[status(thm)],[f_132_1]) ).

cnf(f_132_3,plain,
    is_bool(hAPP_P124632071l_bool(U_264,U_263)),
    inference(clausify,[status(thm)],[f_132_2]) ).

fof(f_133_1,plain,
    ! [B_1_1,B_2_1] : is_bool(hAPP_P975284999r_bool(B_1_1,B_2_1)),
    inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__prod_Itc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__prod]) ).

fof(f_133_2,plain,
    ! [U_266,U_265] : is_bool(hAPP_P975284999r_bool(U_266,U_265)),
    inference(variable_rename,[status(thm)],[f_133_1]) ).

cnf(f_133_3,plain,
    is_bool(hAPP_P975284999r_bool(U_266,U_265)),
    inference(clausify,[status(thm)],[f_133_2]) ).

fof(f_134_1,plain,
    ! [B_1_1,B_2_1] : is_bool(hAPP_P929449287r_bool(B_1_1,B_2_1)),
    inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__prod_Itc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__prod_032]) ).

fof(f_134_2,plain,
    ! [U_268,U_267] : is_bool(hAPP_P929449287r_bool(U_268,U_267)),
    inference(variable_rename,[status(thm)],[f_134_1]) ).

cnf(f_134_3,plain,
    is_bool(hAPP_P929449287r_bool(U_268,U_267)),
    inference(clausify,[status(thm)],[f_134_2]) ).

fof(f_135_1,plain,
    ! [B_1_1,B_2_1] : is_bool(hAPP_P1240100515r_bool(B_1_1,B_2_1)),
    inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__prod_Itc__prod_Itc__List__Olist_Itc__Type__Oty_J_Mtc__prod_Itc]) ).

fof(f_135_2,plain,
    ! [U_270,U_269] : is_bool(hAPP_P1240100515r_bool(U_270,U_269)),
    inference(variable_rename,[status(thm)],[f_135_1]) ).

cnf(f_135_3,plain,
    is_bool(hAPP_P1240100515r_bool(U_270,U_269)),
    inference(clausify,[status(thm)],[f_135_2]) ).

fof(f_136_1,plain,
    ! [B_1_1,B_2_1] : is_bool(hAPP_P1183499705r_bool(B_1_1,B_2_1)),
    inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__prod_Itc__prod_Itc__List__Olist_Itc__Value__Oval_J_Mtc__Expr__]) ).

fof(f_136_2,plain,
    ! [U_272,U_271] : is_bool(hAPP_P1183499705r_bool(U_272,U_271)),
    inference(variable_rename,[status(thm)],[f_136_1]) ).

cnf(f_136_3,plain,
    is_bool(hAPP_P1183499705r_bool(U_272,U_271)),
    inference(clausify,[status(thm)],[f_136_2]) ).

fof(f_137_1,plain,
    ! [B_1_1,B_2_1] : is_bool(hAPP_P801803911r_bool(B_1_1,B_2_1)),
    inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__prod_Itc__prod_Itc__List__Olist_Itc__prod_Itc__List__Olist_Itc]) ).

fof(f_137_2,plain,
    ! [U_274,U_273] : is_bool(hAPP_P801803911r_bool(U_274,U_273)),
    inference(variable_rename,[status(thm)],[f_137_1]) ).

cnf(f_137_3,plain,
    is_bool(hAPP_P801803911r_bool(U_274,U_273)),
    inference(clausify,[status(thm)],[f_137_2]) ).

fof(f_138_1,plain,
    ! [B_1_1,B_2_1] : is_bool(hAPP_P2123002749l_bool(B_1_1,B_2_1)),
    inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__prod_Itc__prod_Itc__Value__Oval_Mtc__Value__Oval_J_Mtc__prod_I]) ).

fof(f_138_2,plain,
    ! [U_276,U_275] : is_bool(hAPP_P2123002749l_bool(U_276,U_275)),
    inference(variable_rename,[status(thm)],[f_138_1]) ).

cnf(f_138_3,plain,
    is_bool(hAPP_P2123002749l_bool(U_276,U_275)),
    inference(clausify,[status(thm)],[f_138_2]) ).

fof(f_139_1,plain,
    ! [B_1_1,B_2_1] : is_bool(hAPP_P1221872711l_bool(B_1_1,B_2_1)),
    inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__prod_Itc__prod_Itc__fun_Itc__Nat__Onat_Mtc__Option__Ooption_It]) ).

fof(f_139_2,plain,
    ! [U_278,U_277] : is_bool(hAPP_P1221872711l_bool(U_278,U_277)),
    inference(variable_rename,[status(thm)],[f_139_1]) ).

cnf(f_139_3,plain,
    is_bool(hAPP_P1221872711l_bool(U_278,U_277)),
    inference(clausify,[status(thm)],[f_139_2]) ).

fof(f_140_1,plain,
    ! [B_1_1,B_2_1] : is_bool(hAPP_P378063101l_bool(B_1_1,B_2_1)),
    inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__prod_Itc__prod_Itc__prod_Itc__Expr__Oexp_Itc__List__Olist_Itc_]) ).

fof(f_140_2,plain,
    ! [U_280,U_279] : is_bool(hAPP_P378063101l_bool(U_280,U_279)),
    inference(variable_rename,[status(thm)],[f_140_1]) ).

cnf(f_140_3,plain,
    is_bool(hAPP_P378063101l_bool(U_280,U_279)),
    inference(clausify,[status(thm)],[f_140_2]) ).

fof(f_141_1,plain,
    ! [B_1_1,B_2_1] : is_bool(hAPP_P2028072621l_bool(B_1_1,B_2_1)),
    inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__prod_Itc__prod_Itc__prod_Itc__List__Olist_Itc__Expr__Oexp_Itc_]) ).

fof(f_141_2,plain,
    ! [U_282,U_281] : is_bool(hAPP_P2028072621l_bool(U_282,U_281)),
    inference(variable_rename,[status(thm)],[f_141_1]) ).

cnf(f_141_3,plain,
    is_bool(hAPP_P2028072621l_bool(U_282,U_281)),
    inference(clausify,[status(thm)],[f_141_2]) ).

fof(f_142_1,plain,
    hAPP_l207779698on_val(l_a,v_1) = hAPP_val_option_val(some_val,v_2),
    inference(fof_nnf,[status(thm)],[fact_0_InitBlockRed_I3_J]) ).

cnf(f_142_2,plain,
    hAPP_l207779698on_val(l_a,v_1) = hAPP_val_option_val(some_val,v_2),
    inference(clausify,[status(thm)],[f_142_1]) ).

fof(f_143_1,plain,
    hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,ea),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,ha),fun_up1149430426on_val(la,v_1,hAPP_val_option_val(some_val,v))))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,e_a),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,h_a),l_a)))),red(p))),
    inference(fof_nnf,[status(thm)],[fact_1_InitBlockRed_I1_J]) ).

cnf(f_143_2,plain,
    hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,ea),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,ha),fun_up1149430426on_val(la,v_1,hAPP_val_option_val(some_val,v))))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,e_a),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,h_a),l_a)))),red(p))),
    inference(clausify,[status(thm)],[f_143_1]) ).

fof(f_144_1,plain,
    ! [F_1,X_2] : fun_up1149430426on_val(F_1,X_2,hAPP_l207779698on_val(F_1,X_2)) = F_1,
    inference(fof_nnf,[status(thm)],[fact_2_fun__upd__triv]) ).

fof(f_144_2,plain,
    ! [U_284,U_283] : fun_up1149430426on_val(U_284,U_283,hAPP_l207779698on_val(U_284,U_283)) = U_284,
    inference(variable_rename,[status(thm)],[f_144_1]) ).

cnf(f_144_3,plain,
    fun_up1149430426on_val(U_284,U_283,hAPP_l207779698on_val(U_284,U_283)) = U_284,
    inference(clausify,[status(thm)],[f_144_2]) ).

fof(f_145_1,plain,
    ! [F_1,X_2] : fun_up424764369ion_ty(F_1,X_2,hAPP_l512744617ion_ty(F_1,X_2)) = F_1,
    inference(fof_nnf,[status(thm)],[fact_3_fun__upd__triv]) ).

fof(f_145_2,plain,
    ! [U_286,U_285] : fun_up424764369ion_ty(U_286,U_285,hAPP_l512744617ion_ty(U_286,U_285)) = U_286,
    inference(variable_rename,[status(thm)],[f_145_1]) ).

cnf(f_145_3,plain,
    fun_up424764369ion_ty(U_286,U_285,hAPP_l512744617ion_ty(U_286,U_285)) = U_286,
    inference(clausify,[status(thm)],[f_145_2]) ).

fof(f_146_1,plain,
    ! [F_1,X_2] : fun_up2041264236on_val(F_1,X_2,hAPP_n546249108on_val(F_1,X_2)) = F_1,
    inference(fof_nnf,[status(thm)],[fact_4_fun__upd__triv]) ).

fof(f_146_2,plain,
    ! [U_288,U_287] : fun_up2041264236on_val(U_288,U_287,hAPP_n546249108on_val(U_288,U_287)) = U_288,
    inference(variable_rename,[status(thm)],[f_146_1]) ).

cnf(f_146_3,plain,
    fun_up2041264236on_val(U_288,U_287,hAPP_n546249108on_val(U_288,U_287)) = U_288,
    inference(clausify,[status(thm)],[f_146_2]) ).

fof(f_147_1,plain,
    ! [F_1,X_2] : fun_up204312361on_val(F_1,X_2,hAPP_P2094403585on_val(F_1,X_2)) = F_1,
    inference(fof_nnf,[status(thm)],[fact_5_fun__upd__triv]) ).

fof(f_147_2,plain,
    ! [U_290,U_289] : fun_up204312361on_val(U_290,U_289,hAPP_P2094403585on_val(U_290,U_289)) = U_290,
    inference(variable_rename,[status(thm)],[f_147_1]) ).

cnf(f_147_3,plain,
    fun_up204312361on_val(U_290,U_289,hAPP_P2094403585on_val(U_290,U_289)) = U_290,
    inference(clausify,[status(thm)],[f_147_2]) ).

fof(f_148_1,plain,
    hBOOL(wf_pro755087577t_char(wf_J_mdecl,p)),
    inference(fof_nnf,[status(thm)],[fact_6_assms]) ).

cnf(f_148_2,plain,
    hBOOL(wf_pro755087577t_char(wf_J_mdecl,p)),
    inference(clausify,[status(thm)],[f_148_1]) ).

fof(f_149_1,plain,
    ! [M_1,A,B,X_2,Y_2] :
      ( ( hAPP_l207779698on_val(fun_up1149430426on_val(M_1,A,hAPP_val_option_val(some_val,B)),X_2) = hAPP_val_option_val(some_val,Y_2)
        | ( ( hAPP_l207779698on_val(M_1,X_2) != hAPP_val_option_val(some_val,Y_2)
            | X_2 = A )
          & ( B != Y_2
            | X_2 != A ) ) )
      & ( ( hAPP_l207779698on_val(M_1,X_2) = hAPP_val_option_val(some_val,Y_2)
          & X_2 != A )
        | ( B = Y_2
          & X_2 = A )
        | hAPP_l207779698on_val(fun_up1149430426on_val(M_1,A,hAPP_val_option_val(some_val,B)),X_2) != hAPP_val_option_val(some_val,Y_2) ) ),
    inference(fof_nnf,[status(thm)],[fact_7_map__upd__Some__unfold]) ).

fof(f_149_2,plain,
    ! [U_295,U_294,U_293,U_292,U_291] :
      ( ( hAPP_l207779698on_val(fun_up1149430426on_val(U_295,U_294,hAPP_val_option_val(some_val,U_293)),U_292) = hAPP_val_option_val(some_val,U_291)
        | ( ( hAPP_l207779698on_val(U_295,U_292) != hAPP_val_option_val(some_val,U_291)
            | U_292 = U_294 )
          & ( U_293 != U_291
            | U_292 != U_294 ) ) )
      & ( ( hAPP_l207779698on_val(U_295,U_292) = hAPP_val_option_val(some_val,U_291)
          & U_292 != U_294 )
        | ( U_293 = U_291
          & U_292 = U_294 )
        | hAPP_l207779698on_val(fun_up1149430426on_val(U_295,U_294,hAPP_val_option_val(some_val,U_293)),U_292) != hAPP_val_option_val(some_val,U_291) ) ),
    inference(variable_rename,[status(thm)],[f_149_1]) ).

fof(f_149_3,plain,
    ( ! [U_305,U_303,U_301,U_299,U_297] :
        ( hAPP_l207779698on_val(fun_up1149430426on_val(U_305,U_303,hAPP_val_option_val(some_val,U_301)),U_299) = hAPP_val_option_val(some_val,U_297)
        | ( ( hAPP_l207779698on_val(U_305,U_299) != hAPP_val_option_val(some_val,U_297)
            | U_299 = U_303 )
          & ( U_301 != U_297
            | U_299 != U_303 ) ) )
    & ! [U_304,U_302,U_300,U_298,U_296] :
        ( ( hAPP_l207779698on_val(U_304,U_298) = hAPP_val_option_val(some_val,U_296)
          & U_298 != U_302 )
        | ( U_300 = U_296
          & U_298 = U_302 )
        | hAPP_l207779698on_val(fun_up1149430426on_val(U_304,U_302,hAPP_val_option_val(some_val,U_300)),U_298) != hAPP_val_option_val(some_val,U_296) ) ),
    inference(miniscope,[status(thm)],[f_149_2]) ).

cnf(f_149_4,plain,
    ( U_298 != U_302
    | U_298 = U_302
    | hAPP_l207779698on_val(fun_up1149430426on_val(U_304,U_302,hAPP_val_option_val(some_val,U_300)),U_298) != hAPP_val_option_val(some_val,U_296) ),
    inference(clausify,[status(thm)],[f_149_3]) ).

cnf(f_149_5,plain,
    ( hAPP_l207779698on_val(U_304,U_298) = hAPP_val_option_val(some_val,U_296)
    | U_298 = U_302
    | hAPP_l207779698on_val(fun_up1149430426on_val(U_304,U_302,hAPP_val_option_val(some_val,U_300)),U_298) != hAPP_val_option_val(some_val,U_296) ),
    inference(clausify,[status(thm)],[f_149_3]) ).

cnf(f_149_6,plain,
    ( U_298 != U_302
    | U_300 = U_296
    | hAPP_l207779698on_val(fun_up1149430426on_val(U_304,U_302,hAPP_val_option_val(some_val,U_300)),U_298) != hAPP_val_option_val(some_val,U_296) ),
    inference(clausify,[status(thm)],[f_149_3]) ).

cnf(f_149_7,plain,
    ( hAPP_l207779698on_val(U_304,U_298) = hAPP_val_option_val(some_val,U_296)
    | U_300 = U_296
    | hAPP_l207779698on_val(fun_up1149430426on_val(U_304,U_302,hAPP_val_option_val(some_val,U_300)),U_298) != hAPP_val_option_val(some_val,U_296) ),
    inference(clausify,[status(thm)],[f_149_3]) ).

cnf(f_149_8,plain,
    ( U_301 != U_297
    | U_299 != U_303
    | hAPP_l207779698on_val(fun_up1149430426on_val(U_305,U_303,hAPP_val_option_val(some_val,U_301)),U_299) = hAPP_val_option_val(some_val,U_297) ),
    inference(clausify,[status(thm)],[f_149_3]) ).

cnf(f_149_9,plain,
    ( hAPP_l207779698on_val(U_305,U_299) != hAPP_val_option_val(some_val,U_297)
    | U_299 = U_303
    | hAPP_l207779698on_val(fun_up1149430426on_val(U_305,U_303,hAPP_val_option_val(some_val,U_301)),U_299) = hAPP_val_option_val(some_val,U_297) ),
    inference(clausify,[status(thm)],[f_149_3]) ).

fof(f_150_1,plain,
    ! [M_1,A,B,X_2,Y_2] :
      ( ( hAPP_l512744617ion_ty(fun_up424764369ion_ty(M_1,A,hAPP_ty_option_ty(some_ty,B)),X_2) = hAPP_ty_option_ty(some_ty,Y_2)
        | ( ( hAPP_l512744617ion_ty(M_1,X_2) != hAPP_ty_option_ty(some_ty,Y_2)
            | X_2 = A )
          & ( B != Y_2
            | X_2 != A ) ) )
      & ( ( hAPP_l512744617ion_ty(M_1,X_2) = hAPP_ty_option_ty(some_ty,Y_2)
          & X_2 != A )
        | ( B = Y_2
          & X_2 = A )
        | hAPP_l512744617ion_ty(fun_up424764369ion_ty(M_1,A,hAPP_ty_option_ty(some_ty,B)),X_2) != hAPP_ty_option_ty(some_ty,Y_2) ) ),
    inference(fof_nnf,[status(thm)],[fact_8_map__upd__Some__unfold]) ).

fof(f_150_2,plain,
    ! [U_310,U_309,U_308,U_307,U_306] :
      ( ( hAPP_l512744617ion_ty(fun_up424764369ion_ty(U_310,U_309,hAPP_ty_option_ty(some_ty,U_308)),U_307) = hAPP_ty_option_ty(some_ty,U_306)
        | ( ( hAPP_l512744617ion_ty(U_310,U_307) != hAPP_ty_option_ty(some_ty,U_306)
            | U_307 = U_309 )
          & ( U_308 != U_306
            | U_307 != U_309 ) ) )
      & ( ( hAPP_l512744617ion_ty(U_310,U_307) = hAPP_ty_option_ty(some_ty,U_306)
          & U_307 != U_309 )
        | ( U_308 = U_306
          & U_307 = U_309 )
        | hAPP_l512744617ion_ty(fun_up424764369ion_ty(U_310,U_309,hAPP_ty_option_ty(some_ty,U_308)),U_307) != hAPP_ty_option_ty(some_ty,U_306) ) ),
    inference(variable_rename,[status(thm)],[f_150_1]) ).

fof(f_150_3,plain,
    ( ! [U_320,U_318,U_316,U_314,U_312] :
        ( hAPP_l512744617ion_ty(fun_up424764369ion_ty(U_320,U_318,hAPP_ty_option_ty(some_ty,U_316)),U_314) = hAPP_ty_option_ty(some_ty,U_312)
        | ( ( hAPP_l512744617ion_ty(U_320,U_314) != hAPP_ty_option_ty(some_ty,U_312)
            | U_314 = U_318 )
          & ( U_316 != U_312
            | U_314 != U_318 ) ) )
    & ! [U_319,U_317,U_315,U_313,U_311] :
        ( ( hAPP_l512744617ion_ty(U_319,U_313) = hAPP_ty_option_ty(some_ty,U_311)
          & U_313 != U_317 )
        | ( U_315 = U_311
          & U_313 = U_317 )
        | hAPP_l512744617ion_ty(fun_up424764369ion_ty(U_319,U_317,hAPP_ty_option_ty(some_ty,U_315)),U_313) != hAPP_ty_option_ty(some_ty,U_311) ) ),
    inference(miniscope,[status(thm)],[f_150_2]) ).

cnf(f_150_4,plain,
    ( U_313 != U_317
    | U_313 = U_317
    | hAPP_l512744617ion_ty(fun_up424764369ion_ty(U_319,U_317,hAPP_ty_option_ty(some_ty,U_315)),U_313) != hAPP_ty_option_ty(some_ty,U_311) ),
    inference(clausify,[status(thm)],[f_150_3]) ).

cnf(f_150_5,plain,
    ( hAPP_l512744617ion_ty(U_319,U_313) = hAPP_ty_option_ty(some_ty,U_311)
    | U_313 = U_317
    | hAPP_l512744617ion_ty(fun_up424764369ion_ty(U_319,U_317,hAPP_ty_option_ty(some_ty,U_315)),U_313) != hAPP_ty_option_ty(some_ty,U_311) ),
    inference(clausify,[status(thm)],[f_150_3]) ).

cnf(f_150_6,plain,
    ( U_313 != U_317
    | U_315 = U_311
    | hAPP_l512744617ion_ty(fun_up424764369ion_ty(U_319,U_317,hAPP_ty_option_ty(some_ty,U_315)),U_313) != hAPP_ty_option_ty(some_ty,U_311) ),
    inference(clausify,[status(thm)],[f_150_3]) ).

cnf(f_150_7,plain,
    ( hAPP_l512744617ion_ty(U_319,U_313) = hAPP_ty_option_ty(some_ty,U_311)
    | U_315 = U_311
    | hAPP_l512744617ion_ty(fun_up424764369ion_ty(U_319,U_317,hAPP_ty_option_ty(some_ty,U_315)),U_313) != hAPP_ty_option_ty(some_ty,U_311) ),
    inference(clausify,[status(thm)],[f_150_3]) ).

cnf(f_150_8,plain,
    ( U_316 != U_312
    | U_314 != U_318
    | hAPP_l512744617ion_ty(fun_up424764369ion_ty(U_320,U_318,hAPP_ty_option_ty(some_ty,U_316)),U_314) = hAPP_ty_option_ty(some_ty,U_312) ),
    inference(clausify,[status(thm)],[f_150_3]) ).

cnf(f_150_9,plain,
    ( hAPP_l512744617ion_ty(U_320,U_314) != hAPP_ty_option_ty(some_ty,U_312)
    | U_314 = U_318
    | hAPP_l512744617ion_ty(fun_up424764369ion_ty(U_320,U_318,hAPP_ty_option_ty(some_ty,U_316)),U_314) = hAPP_ty_option_ty(some_ty,U_312) ),
    inference(clausify,[status(thm)],[f_150_3]) ).

fof(f_151_1,plain,
    ! [M_1,A,B,X_2,Y_2] :
      ( ( hAPP_n546249108on_val(fun_up2041264236on_val(M_1,A,hAPP_P1510515380on_val(some_P948696889on_val,B)),X_2) = hAPP_P1510515380on_val(some_P948696889on_val,Y_2)
        | ( ( hAPP_n546249108on_val(M_1,X_2) != hAPP_P1510515380on_val(some_P948696889on_val,Y_2)
            | X_2 = A )
          & ( B != Y_2
            | X_2 != A ) ) )
      & ( ( hAPP_n546249108on_val(M_1,X_2) = hAPP_P1510515380on_val(some_P948696889on_val,Y_2)
          & X_2 != A )
        | ( B = Y_2
          & X_2 = A )
        | hAPP_n546249108on_val(fun_up2041264236on_val(M_1,A,hAPP_P1510515380on_val(some_P948696889on_val,B)),X_2) != hAPP_P1510515380on_val(some_P948696889on_val,Y_2) ) ),
    inference(fof_nnf,[status(thm)],[fact_9_map__upd__Some__unfold]) ).

fof(f_151_2,plain,
    ! [U_325,U_324,U_323,U_322,U_321] :
      ( ( hAPP_n546249108on_val(fun_up2041264236on_val(U_325,U_324,hAPP_P1510515380on_val(some_P948696889on_val,U_323)),U_322) = hAPP_P1510515380on_val(some_P948696889on_val,U_321)
        | ( ( hAPP_n546249108on_val(U_325,U_322) != hAPP_P1510515380on_val(some_P948696889on_val,U_321)
            | U_322 = U_324 )
          & ( U_323 != U_321
            | U_322 != U_324 ) ) )
      & ( ( hAPP_n546249108on_val(U_325,U_322) = hAPP_P1510515380on_val(some_P948696889on_val,U_321)
          & U_322 != U_324 )
        | ( U_323 = U_321
          & U_322 = U_324 )
        | hAPP_n546249108on_val(fun_up2041264236on_val(U_325,U_324,hAPP_P1510515380on_val(some_P948696889on_val,U_323)),U_322) != hAPP_P1510515380on_val(some_P948696889on_val,U_321) ) ),
    inference(variable_rename,[status(thm)],[f_151_1]) ).

fof(f_151_3,plain,
    ( ! [U_335,U_333,U_331,U_329,U_327] :
        ( hAPP_n546249108on_val(fun_up2041264236on_val(U_335,U_333,hAPP_P1510515380on_val(some_P948696889on_val,U_331)),U_329) = hAPP_P1510515380on_val(some_P948696889on_val,U_327)
        | ( ( hAPP_n546249108on_val(U_335,U_329) != hAPP_P1510515380on_val(some_P948696889on_val,U_327)
            | U_329 = U_333 )
          & ( U_331 != U_327
            | U_329 != U_333 ) ) )
    & ! [U_334,U_332,U_330,U_328,U_326] :
        ( ( hAPP_n546249108on_val(U_334,U_328) = hAPP_P1510515380on_val(some_P948696889on_val,U_326)
          & U_328 != U_332 )
        | ( U_330 = U_326
          & U_328 = U_332 )
        | hAPP_n546249108on_val(fun_up2041264236on_val(U_334,U_332,hAPP_P1510515380on_val(some_P948696889on_val,U_330)),U_328) != hAPP_P1510515380on_val(some_P948696889on_val,U_326) ) ),
    inference(miniscope,[status(thm)],[f_151_2]) ).

cnf(f_151_4,plain,
    ( U_328 != U_332
    | U_328 = U_332
    | hAPP_n546249108on_val(fun_up2041264236on_val(U_334,U_332,hAPP_P1510515380on_val(some_P948696889on_val,U_330)),U_328) != hAPP_P1510515380on_val(some_P948696889on_val,U_326) ),
    inference(clausify,[status(thm)],[f_151_3]) ).

cnf(f_151_5,plain,
    ( hAPP_n546249108on_val(U_334,U_328) = hAPP_P1510515380on_val(some_P948696889on_val,U_326)
    | U_328 = U_332
    | hAPP_n546249108on_val(fun_up2041264236on_val(U_334,U_332,hAPP_P1510515380on_val(some_P948696889on_val,U_330)),U_328) != hAPP_P1510515380on_val(some_P948696889on_val,U_326) ),
    inference(clausify,[status(thm)],[f_151_3]) ).

cnf(f_151_6,plain,
    ( U_328 != U_332
    | U_330 = U_326
    | hAPP_n546249108on_val(fun_up2041264236on_val(U_334,U_332,hAPP_P1510515380on_val(some_P948696889on_val,U_330)),U_328) != hAPP_P1510515380on_val(some_P948696889on_val,U_326) ),
    inference(clausify,[status(thm)],[f_151_3]) ).

cnf(f_151_7,plain,
    ( hAPP_n546249108on_val(U_334,U_328) = hAPP_P1510515380on_val(some_P948696889on_val,U_326)
    | U_330 = U_326
    | hAPP_n546249108on_val(fun_up2041264236on_val(U_334,U_332,hAPP_P1510515380on_val(some_P948696889on_val,U_330)),U_328) != hAPP_P1510515380on_val(some_P948696889on_val,U_326) ),
    inference(clausify,[status(thm)],[f_151_3]) ).

cnf(f_151_8,plain,
    ( U_331 != U_327
    | U_329 != U_333
    | hAPP_n546249108on_val(fun_up2041264236on_val(U_335,U_333,hAPP_P1510515380on_val(some_P948696889on_val,U_331)),U_329) = hAPP_P1510515380on_val(some_P948696889on_val,U_327) ),
    inference(clausify,[status(thm)],[f_151_3]) ).

cnf(f_151_9,plain,
    ( hAPP_n546249108on_val(U_335,U_329) != hAPP_P1510515380on_val(some_P948696889on_val,U_327)
    | U_329 = U_333
    | hAPP_n546249108on_val(fun_up2041264236on_val(U_335,U_333,hAPP_P1510515380on_val(some_P948696889on_val,U_331)),U_329) = hAPP_P1510515380on_val(some_P948696889on_val,U_327) ),
    inference(clausify,[status(thm)],[f_151_3]) ).

fof(f_152_1,plain,
    ! [M_1,A,B,X_2,Y_2] :
      ( ( hAPP_P2094403585on_val(fun_up204312361on_val(M_1,A,hAPP_val_option_val(some_val,B)),X_2) = hAPP_val_option_val(some_val,Y_2)
        | ( ( hAPP_P2094403585on_val(M_1,X_2) != hAPP_val_option_val(some_val,Y_2)
            | X_2 = A )
          & ( B != Y_2
            | X_2 != A ) ) )
      & ( ( hAPP_P2094403585on_val(M_1,X_2) = hAPP_val_option_val(some_val,Y_2)
          & X_2 != A )
        | ( B = Y_2
          & X_2 = A )
        | hAPP_P2094403585on_val(fun_up204312361on_val(M_1,A,hAPP_val_option_val(some_val,B)),X_2) != hAPP_val_option_val(some_val,Y_2) ) ),
    inference(fof_nnf,[status(thm)],[fact_10_map__upd__Some__unfold]) ).

fof(f_152_2,plain,
    ! [U_340,U_339,U_338,U_337,U_336] :
      ( ( hAPP_P2094403585on_val(fun_up204312361on_val(U_340,U_339,hAPP_val_option_val(some_val,U_338)),U_337) = hAPP_val_option_val(some_val,U_336)
        | ( ( hAPP_P2094403585on_val(U_340,U_337) != hAPP_val_option_val(some_val,U_336)
            | U_337 = U_339 )
          & ( U_338 != U_336
            | U_337 != U_339 ) ) )
      & ( ( hAPP_P2094403585on_val(U_340,U_337) = hAPP_val_option_val(some_val,U_336)
          & U_337 != U_339 )
        | ( U_338 = U_336
          & U_337 = U_339 )
        | hAPP_P2094403585on_val(fun_up204312361on_val(U_340,U_339,hAPP_val_option_val(some_val,U_338)),U_337) != hAPP_val_option_val(some_val,U_336) ) ),
    inference(variable_rename,[status(thm)],[f_152_1]) ).

fof(f_152_3,plain,
    ( ! [U_350,U_348,U_346,U_344,U_342] :
        ( hAPP_P2094403585on_val(fun_up204312361on_val(U_350,U_348,hAPP_val_option_val(some_val,U_346)),U_344) = hAPP_val_option_val(some_val,U_342)
        | ( ( hAPP_P2094403585on_val(U_350,U_344) != hAPP_val_option_val(some_val,U_342)
            | U_344 = U_348 )
          & ( U_346 != U_342
            | U_344 != U_348 ) ) )
    & ! [U_349,U_347,U_345,U_343,U_341] :
        ( ( hAPP_P2094403585on_val(U_349,U_343) = hAPP_val_option_val(some_val,U_341)
          & U_343 != U_347 )
        | ( U_345 = U_341
          & U_343 = U_347 )
        | hAPP_P2094403585on_val(fun_up204312361on_val(U_349,U_347,hAPP_val_option_val(some_val,U_345)),U_343) != hAPP_val_option_val(some_val,U_341) ) ),
    inference(miniscope,[status(thm)],[f_152_2]) ).

cnf(f_152_4,plain,
    ( U_343 != U_347
    | U_343 = U_347
    | hAPP_P2094403585on_val(fun_up204312361on_val(U_349,U_347,hAPP_val_option_val(some_val,U_345)),U_343) != hAPP_val_option_val(some_val,U_341) ),
    inference(clausify,[status(thm)],[f_152_3]) ).

cnf(f_152_5,plain,
    ( hAPP_P2094403585on_val(U_349,U_343) = hAPP_val_option_val(some_val,U_341)
    | U_343 = U_347
    | hAPP_P2094403585on_val(fun_up204312361on_val(U_349,U_347,hAPP_val_option_val(some_val,U_345)),U_343) != hAPP_val_option_val(some_val,U_341) ),
    inference(clausify,[status(thm)],[f_152_3]) ).

cnf(f_152_6,plain,
    ( U_343 != U_347
    | U_345 = U_341
    | hAPP_P2094403585on_val(fun_up204312361on_val(U_349,U_347,hAPP_val_option_val(some_val,U_345)),U_343) != hAPP_val_option_val(some_val,U_341) ),
    inference(clausify,[status(thm)],[f_152_3]) ).

cnf(f_152_7,plain,
    ( hAPP_P2094403585on_val(U_349,U_343) = hAPP_val_option_val(some_val,U_341)
    | U_345 = U_341
    | hAPP_P2094403585on_val(fun_up204312361on_val(U_349,U_347,hAPP_val_option_val(some_val,U_345)),U_343) != hAPP_val_option_val(some_val,U_341) ),
    inference(clausify,[status(thm)],[f_152_3]) ).

cnf(f_152_8,plain,
    ( U_346 != U_342
    | U_344 != U_348
    | hAPP_P2094403585on_val(fun_up204312361on_val(U_350,U_348,hAPP_val_option_val(some_val,U_346)),U_344) = hAPP_val_option_val(some_val,U_342) ),
    inference(clausify,[status(thm)],[f_152_3]) ).

cnf(f_152_9,plain,
    ( hAPP_P2094403585on_val(U_350,U_344) != hAPP_val_option_val(some_val,U_342)
    | U_344 = U_348
    | hAPP_P2094403585on_val(fun_up204312361on_val(U_350,U_348,hAPP_val_option_val(some_val,U_346)),U_344) = hAPP_val_option_val(some_val,U_342) ),
    inference(clausify,[status(thm)],[f_152_3]) ).

fof(f_153_1,plain,
    ! [T_2,K,X_2] :
      ( fun_up1149430426on_val(T_2,K,hAPP_val_option_val(some_val,X_2)) = T_2
      | hAPP_l207779698on_val(T_2,K) != hAPP_val_option_val(some_val,X_2) ),
    inference(fof_nnf,[status(thm)],[fact_11_map__upd__triv]) ).

fof(f_153_2,plain,
    ! [U_353,U_352,U_351] :
      ( fun_up1149430426on_val(U_353,U_352,hAPP_val_option_val(some_val,U_351)) = U_353
      | hAPP_l207779698on_val(U_353,U_352) != hAPP_val_option_val(some_val,U_351) ),
    inference(variable_rename,[status(thm)],[f_153_1]) ).

cnf(f_153_3,plain,
    ( fun_up1149430426on_val(U_353,U_352,hAPP_val_option_val(some_val,U_351)) = U_353
    | hAPP_l207779698on_val(U_353,U_352) != hAPP_val_option_val(some_val,U_351) ),
    inference(clausify,[status(thm)],[f_153_2]) ).

fof(f_154_1,plain,
    ! [T_2,K,X_2] :
      ( fun_up424764369ion_ty(T_2,K,hAPP_ty_option_ty(some_ty,X_2)) = T_2
      | hAPP_l512744617ion_ty(T_2,K) != hAPP_ty_option_ty(some_ty,X_2) ),
    inference(fof_nnf,[status(thm)],[fact_12_map__upd__triv]) ).

fof(f_154_2,plain,
    ! [U_356,U_355,U_354] :
      ( fun_up424764369ion_ty(U_356,U_355,hAPP_ty_option_ty(some_ty,U_354)) = U_356
      | hAPP_l512744617ion_ty(U_356,U_355) != hAPP_ty_option_ty(some_ty,U_354) ),
    inference(variable_rename,[status(thm)],[f_154_1]) ).

cnf(f_154_3,plain,
    ( fun_up424764369ion_ty(U_356,U_355,hAPP_ty_option_ty(some_ty,U_354)) = U_356
    | hAPP_l512744617ion_ty(U_356,U_355) != hAPP_ty_option_ty(some_ty,U_354) ),
    inference(clausify,[status(thm)],[f_154_2]) ).

fof(f_155_1,plain,
    ! [T_2,K,X_2] :
      ( fun_up2041264236on_val(T_2,K,hAPP_P1510515380on_val(some_P948696889on_val,X_2)) = T_2
      | hAPP_n546249108on_val(T_2,K) != hAPP_P1510515380on_val(some_P948696889on_val,X_2) ),
    inference(fof_nnf,[status(thm)],[fact_13_map__upd__triv]) ).

fof(f_155_2,plain,
    ! [U_359,U_358,U_357] :
      ( fun_up2041264236on_val(U_359,U_358,hAPP_P1510515380on_val(some_P948696889on_val,U_357)) = U_359
      | hAPP_n546249108on_val(U_359,U_358) != hAPP_P1510515380on_val(some_P948696889on_val,U_357) ),
    inference(variable_rename,[status(thm)],[f_155_1]) ).

cnf(f_155_3,plain,
    ( fun_up2041264236on_val(U_359,U_358,hAPP_P1510515380on_val(some_P948696889on_val,U_357)) = U_359
    | hAPP_n546249108on_val(U_359,U_358) != hAPP_P1510515380on_val(some_P948696889on_val,U_357) ),
    inference(clausify,[status(thm)],[f_155_2]) ).

fof(f_156_1,plain,
    ! [T_2,K,X_2] :
      ( fun_up204312361on_val(T_2,K,hAPP_val_option_val(some_val,X_2)) = T_2
      | hAPP_P2094403585on_val(T_2,K) != hAPP_val_option_val(some_val,X_2) ),
    inference(fof_nnf,[status(thm)],[fact_14_map__upd__triv]) ).

fof(f_156_2,plain,
    ! [U_362,U_361,U_360] :
      ( fun_up204312361on_val(U_362,U_361,hAPP_val_option_val(some_val,U_360)) = U_362
      | hAPP_P2094403585on_val(U_362,U_361) != hAPP_val_option_val(some_val,U_360) ),
    inference(variable_rename,[status(thm)],[f_156_1]) ).

cnf(f_156_3,plain,
    ( fun_up204312361on_val(U_362,U_361,hAPP_val_option_val(some_val,U_360)) = U_362
    | hAPP_P2094403585on_val(U_362,U_361) != hAPP_val_option_val(some_val,U_360) ),
    inference(clausify,[status(thm)],[f_156_2]) ).

fof(f_157_1,plain,
    ! [M_1,A,X_2,N,Y_2] :
      ( X_2 = Y_2
      | fun_up1149430426on_val(M_1,A,hAPP_val_option_val(some_val,X_2)) != fun_up1149430426on_val(N,A,hAPP_val_option_val(some_val,Y_2)) ),
    inference(fof_nnf,[status(thm)],[fact_15_map__upd__eqD1]) ).

fof(f_157_2,plain,
    ! [U_367,U_366,U_365,U_364,U_363] :
      ( U_365 = U_363
      | fun_up1149430426on_val(U_367,U_366,hAPP_val_option_val(some_val,U_365)) != fun_up1149430426on_val(U_364,U_366,hAPP_val_option_val(some_val,U_363)) ),
    inference(variable_rename,[status(thm)],[f_157_1]) ).

cnf(f_157_3,plain,
    ( U_365 = U_363
    | fun_up1149430426on_val(U_367,U_366,hAPP_val_option_val(some_val,U_365)) != fun_up1149430426on_val(U_364,U_366,hAPP_val_option_val(some_val,U_363)) ),
    inference(clausify,[status(thm)],[f_157_2]) ).

fof(f_158_1,plain,
    ! [M_1,A,X_2,N,Y_2] :
      ( X_2 = Y_2
      | fun_up424764369ion_ty(M_1,A,hAPP_ty_option_ty(some_ty,X_2)) != fun_up424764369ion_ty(N,A,hAPP_ty_option_ty(some_ty,Y_2)) ),
    inference(fof_nnf,[status(thm)],[fact_16_map__upd__eqD1]) ).

fof(f_158_2,plain,
    ! [U_372,U_371,U_370,U_369,U_368] :
      ( U_370 = U_368
      | fun_up424764369ion_ty(U_372,U_371,hAPP_ty_option_ty(some_ty,U_370)) != fun_up424764369ion_ty(U_369,U_371,hAPP_ty_option_ty(some_ty,U_368)) ),
    inference(variable_rename,[status(thm)],[f_158_1]) ).

cnf(f_158_3,plain,
    ( U_370 = U_368
    | fun_up424764369ion_ty(U_372,U_371,hAPP_ty_option_ty(some_ty,U_370)) != fun_up424764369ion_ty(U_369,U_371,hAPP_ty_option_ty(some_ty,U_368)) ),
    inference(clausify,[status(thm)],[f_158_2]) ).

fof(f_159_1,plain,
    ! [M_1,A,X_2,N,Y_2] :
      ( X_2 = Y_2
      | fun_up2041264236on_val(M_1,A,hAPP_P1510515380on_val(some_P948696889on_val,X_2)) != fun_up2041264236on_val(N,A,hAPP_P1510515380on_val(some_P948696889on_val,Y_2)) ),
    inference(fof_nnf,[status(thm)],[fact_17_map__upd__eqD1]) ).

fof(f_159_2,plain,
    ! [U_377,U_376,U_375,U_374,U_373] :
      ( U_375 = U_373
      | fun_up2041264236on_val(U_377,U_376,hAPP_P1510515380on_val(some_P948696889on_val,U_375)) != fun_up2041264236on_val(U_374,U_376,hAPP_P1510515380on_val(some_P948696889on_val,U_373)) ),
    inference(variable_rename,[status(thm)],[f_159_1]) ).

cnf(f_159_3,plain,
    ( U_375 = U_373
    | fun_up2041264236on_val(U_377,U_376,hAPP_P1510515380on_val(some_P948696889on_val,U_375)) != fun_up2041264236on_val(U_374,U_376,hAPP_P1510515380on_val(some_P948696889on_val,U_373)) ),
    inference(clausify,[status(thm)],[f_159_2]) ).

fof(f_160_1,plain,
    ! [M_1,A,X_2,N,Y_2] :
      ( X_2 = Y_2
      | fun_up204312361on_val(M_1,A,hAPP_val_option_val(some_val,X_2)) != fun_up204312361on_val(N,A,hAPP_val_option_val(some_val,Y_2)) ),
    inference(fof_nnf,[status(thm)],[fact_18_map__upd__eqD1]) ).

fof(f_160_2,plain,
    ! [U_382,U_381,U_380,U_379,U_378] :
      ( U_380 = U_378
      | fun_up204312361on_val(U_382,U_381,hAPP_val_option_val(some_val,U_380)) != fun_up204312361on_val(U_379,U_381,hAPP_val_option_val(some_val,U_378)) ),
    inference(variable_rename,[status(thm)],[f_160_1]) ).

cnf(f_160_3,plain,
    ( U_380 = U_378
    | fun_up204312361on_val(U_382,U_381,hAPP_val_option_val(some_val,U_380)) != fun_up204312361on_val(U_379,U_381,hAPP_val_option_val(some_val,U_378)) ),
    inference(clausify,[status(thm)],[f_160_2]) ).

fof(f_161_1,plain,
    ! [Ta,Ea] :
      ( ? [T_5] :
          ( hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(p),T_5),Ta))
          & hBOOL(wTrt_1(p,h_a,Ea,e_a,T_5)) )
      | ~ hBOOL(wTrt_1(p,ha,Ea,ea,Ta))
      | ~ hBOOL(hAPP_P159683425l_bool(typeSa1700205512_sconf(p,Ea),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,ha),fun_up1149430426on_val(la,v_1,hAPP_val_option_val(some_val,v))))) ),
    inference(fof_nnf,[status(thm)],[fact_19_InitBlockRed_I2_J]) ).

fof(f_161_2,plain,
    ! [U_385,U_384] :
      ( ? [U_383] :
          ( hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(p),U_383),U_385))
          & hBOOL(wTrt_1(p,h_a,U_384,e_a,U_383)) )
      | ~ hBOOL(wTrt_1(p,ha,U_384,ea,U_385))
      | ~ hBOOL(hAPP_P159683425l_bool(typeSa1700205512_sconf(p,U_384),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,ha),fun_up1149430426on_val(la,v_1,hAPP_val_option_val(some_val,v))))) ),
    inference(variable_rename,[status(thm)],[f_161_1]) ).

fof(f_161_3,plain,
    ! [U_385,U_384] :
      ( ( hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(p),sK1(U_385,U_384)),U_385))
        & hBOOL(wTrt_1(p,h_a,U_384,e_a,sK1(U_385,U_384))) )
      | ~ hBOOL(wTrt_1(p,ha,U_384,ea,U_385))
      | ~ hBOOL(hAPP_P159683425l_bool(typeSa1700205512_sconf(p,U_384),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,ha),fun_up1149430426on_val(la,v_1,hAPP_val_option_val(some_val,v))))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(U_383,sK1(U_385,U_384))],[f_161_2]) ).

cnf(f_161_4,plain,
    ( hBOOL(wTrt_1(p,h_a,U_384,e_a,sK1(U_385,U_384)))
    | ~ hBOOL(wTrt_1(p,ha,U_384,ea,U_385))
    | ~ hBOOL(hAPP_P159683425l_bool(typeSa1700205512_sconf(p,U_384),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,ha),fun_up1149430426on_val(la,v_1,hAPP_val_option_val(some_val,v))))) ),
    inference(clausify,[status(thm)],[f_161_3]) ).

cnf(f_161_5,plain,
    ( hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(p),sK1(U_385,U_384)),U_385))
    | ~ hBOOL(wTrt_1(p,ha,U_384,ea,U_385))
    | ~ hBOOL(hAPP_P159683425l_bool(typeSa1700205512_sconf(p,U_384),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,ha),fun_up1149430426on_val(la,v_1,hAPP_val_option_val(some_val,v))))) ),
    inference(clausify,[status(thm)],[f_161_3]) ).

fof(f_162_1,plain,
    ! [X_2,Pa] :
      ( hBOOL(hAPP_P2028072621l_bool(Pa,X_2))
      | ? [A_1,B_2,C_4,D_2,E_4] : ~ hBOOL(hAPP_P2028072621l_bool(Pa,hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,A_1),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,B_2),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,C_4),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,D_2),E_4)))))) ),
    inference(fof_nnf,[status(thm)],[fact_20_prod__induct5]) ).

fof(f_162_2,plain,
    ! [U_392,U_391] :
      ( hBOOL(hAPP_P2028072621l_bool(U_391,U_392))
      | ? [U_390,U_389,U_388,U_387,U_386] : ~ hBOOL(hAPP_P2028072621l_bool(U_391,hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,U_390),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_389),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_388),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_387),U_386)))))) ),
    inference(variable_rename,[status(thm)],[f_162_1]) ).

fof(f_162_3,plain,
    ! [U_392,U_391] :
      ( hBOOL(hAPP_P2028072621l_bool(U_391,U_392))
      | ? [U_389,U_388,U_387,U_386] : ~ hBOOL(hAPP_P2028072621l_bool(U_391,hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,sK2(U_392,U_391)),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_389),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_388),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_387),U_386)))))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(U_390,sK2(U_392,U_391))],[f_162_2]) ).

fof(f_162_4,plain,
    ! [U_392,U_391] :
      ( hBOOL(hAPP_P2028072621l_bool(U_391,U_392))
      | ? [U_388,U_387,U_386] : ~ hBOOL(hAPP_P2028072621l_bool(U_391,hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,sK2(U_392,U_391)),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,sK3(U_392,U_391)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_388),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_387),U_386)))))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(U_389,sK3(U_392,U_391))],[f_162_3]) ).

fof(f_162_5,plain,
    ! [U_392,U_391] :
      ( hBOOL(hAPP_P2028072621l_bool(U_391,U_392))
      | ? [U_387,U_386] : ~ hBOOL(hAPP_P2028072621l_bool(U_391,hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,sK2(U_392,U_391)),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,sK3(U_392,U_391)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,sK4(U_392,U_391)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_387),U_386)))))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(U_388,sK4(U_392,U_391))],[f_162_4]) ).

fof(f_162_6,plain,
    ! [U_392,U_391] :
      ( hBOOL(hAPP_P2028072621l_bool(U_391,U_392))
      | ? [U_386] : ~ hBOOL(hAPP_P2028072621l_bool(U_391,hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,sK2(U_392,U_391)),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,sK3(U_392,U_391)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,sK4(U_392,U_391)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK5(U_392,U_391)),U_386)))))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(U_387,sK5(U_392,U_391))],[f_162_5]) ).

fof(f_162_7,plain,
    ! [U_392,U_391] :
      ( hBOOL(hAPP_P2028072621l_bool(U_391,U_392))
      | ~ hBOOL(hAPP_P2028072621l_bool(U_391,hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,sK2(U_392,U_391)),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,sK3(U_392,U_391)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,sK4(U_392,U_391)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK5(U_392,U_391)),sK6(U_392,U_391))))))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(U_386,sK6(U_392,U_391))],[f_162_6]) ).

cnf(f_162_8,plain,
    ( hBOOL(hAPP_P2028072621l_bool(U_391,U_392))
    | ~ hBOOL(hAPP_P2028072621l_bool(U_391,hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,sK2(U_392,U_391)),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,sK3(U_392,U_391)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,sK4(U_392,U_391)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK5(U_392,U_391)),sK6(U_392,U_391))))))) ),
    inference(clausify,[status(thm)],[f_162_7]) ).

fof(f_163_1,plain,
    ! [X_2,Pa] :
      ( hBOOL(hAPP_P378063101l_bool(Pa,X_2))
      | ? [A_1,B_2,C_4,D_2,E_4] : ~ hBOOL(hAPP_P378063101l_bool(Pa,hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,A_1),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,B_2),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,C_4),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,D_2),E_4)))))) ),
    inference(fof_nnf,[status(thm)],[fact_21_prod__induct5]) ).

fof(f_163_2,plain,
    ! [U_399,U_398] :
      ( hBOOL(hAPP_P378063101l_bool(U_398,U_399))
      | ? [U_397,U_396,U_395,U_394,U_393] : ~ hBOOL(hAPP_P378063101l_bool(U_398,hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,U_397),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_396),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_395),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_394),U_393)))))) ),
    inference(variable_rename,[status(thm)],[f_163_1]) ).

fof(f_163_3,plain,
    ! [U_399,U_398] :
      ( hBOOL(hAPP_P378063101l_bool(U_398,U_399))
      | ? [U_396,U_395,U_394,U_393] : ~ hBOOL(hAPP_P378063101l_bool(U_398,hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,sK7(U_399,U_398)),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_396),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_395),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_394),U_393)))))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK7]),skolemize(U_397,sK7(U_399,U_398))],[f_163_2]) ).

fof(f_163_4,plain,
    ! [U_399,U_398] :
      ( hBOOL(hAPP_P378063101l_bool(U_398,U_399))
      | ? [U_395,U_394,U_393] : ~ hBOOL(hAPP_P378063101l_bool(U_398,hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,sK7(U_399,U_398)),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK8(U_399,U_398)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_395),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_394),U_393)))))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK8]),skolemize(U_396,sK8(U_399,U_398))],[f_163_3]) ).

fof(f_163_5,plain,
    ! [U_399,U_398] :
      ( hBOOL(hAPP_P378063101l_bool(U_398,U_399))
      | ? [U_394,U_393] : ~ hBOOL(hAPP_P378063101l_bool(U_398,hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,sK7(U_399,U_398)),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK8(U_399,U_398)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK9(U_399,U_398)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_394),U_393)))))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK9]),skolemize(U_395,sK9(U_399,U_398))],[f_163_4]) ).

fof(f_163_6,plain,
    ! [U_399,U_398] :
      ( hBOOL(hAPP_P378063101l_bool(U_398,U_399))
      | ? [U_393] : ~ hBOOL(hAPP_P378063101l_bool(U_398,hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,sK7(U_399,U_398)),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK8(U_399,U_398)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK9(U_399,U_398)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK10(U_399,U_398)),U_393)))))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK10]),skolemize(U_394,sK10(U_399,U_398))],[f_163_5]) ).

fof(f_163_7,plain,
    ! [U_399,U_398] :
      ( hBOOL(hAPP_P378063101l_bool(U_398,U_399))
      | ~ hBOOL(hAPP_P378063101l_bool(U_398,hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,sK7(U_399,U_398)),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK8(U_399,U_398)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK9(U_399,U_398)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK10(U_399,U_398)),sK11(U_399,U_398))))))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK11]),skolemize(U_393,sK11(U_399,U_398))],[f_163_6]) ).

cnf(f_163_8,plain,
    ( hBOOL(hAPP_P378063101l_bool(U_398,U_399))
    | ~ hBOOL(hAPP_P378063101l_bool(U_398,hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,sK7(U_399,U_398)),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK8(U_399,U_398)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK9(U_399,U_398)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK10(U_399,U_398)),sK11(U_399,U_398))))))) ),
    inference(clausify,[status(thm)],[f_163_7]) ).

fof(f_164_1,plain,
    ! [X_2,Pa] :
      ( hBOOL(hAPP_P824029447r_bool(Pa,X_2))
      | ? [A_1,B_2,C_4,D_2,E_4] : ~ hBOOL(hAPP_P824029447r_bool(Pa,hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,A_1),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,B_2),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,C_4),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,D_2),E_4)))))) ),
    inference(fof_nnf,[status(thm)],[fact_22_prod__induct5]) ).

fof(f_164_2,plain,
    ! [U_406,U_405] :
      ( hBOOL(hAPP_P824029447r_bool(U_405,U_406))
      | ? [U_404,U_403,U_402,U_401,U_400] : ~ hBOOL(hAPP_P824029447r_bool(U_405,hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,U_404),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_403),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_402),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_401),U_400)))))) ),
    inference(variable_rename,[status(thm)],[f_164_1]) ).

fof(f_164_3,plain,
    ! [U_406,U_405] :
      ( hBOOL(hAPP_P824029447r_bool(U_405,U_406))
      | ? [U_403,U_402,U_401,U_400] : ~ hBOOL(hAPP_P824029447r_bool(U_405,hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,sK12(U_406,U_405)),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_403),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_402),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_401),U_400)))))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK12]),skolemize(U_404,sK12(U_406,U_405))],[f_164_2]) ).

fof(f_164_4,plain,
    ! [U_406,U_405] :
      ( hBOOL(hAPP_P824029447r_bool(U_405,U_406))
      | ? [U_402,U_401,U_400] : ~ hBOOL(hAPP_P824029447r_bool(U_405,hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,sK12(U_406,U_405)),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,sK13(U_406,U_405)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_402),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_401),U_400)))))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK13]),skolemize(U_403,sK13(U_406,U_405))],[f_164_3]) ).

fof(f_164_5,plain,
    ! [U_406,U_405] :
      ( hBOOL(hAPP_P824029447r_bool(U_405,U_406))
      | ? [U_401,U_400] : ~ hBOOL(hAPP_P824029447r_bool(U_405,hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,sK12(U_406,U_405)),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,sK13(U_406,U_405)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,sK14(U_406,U_405)),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_401),U_400)))))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK14]),skolemize(U_402,sK14(U_406,U_405))],[f_164_4]) ).

fof(f_164_6,plain,
    ! [U_406,U_405] :
      ( hBOOL(hAPP_P824029447r_bool(U_405,U_406))
      | ? [U_400] : ~ hBOOL(hAPP_P824029447r_bool(U_405,hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,sK12(U_406,U_405)),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,sK13(U_406,U_405)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,sK14(U_406,U_405)),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,sK15(U_406,U_405)),U_400)))))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK15]),skolemize(U_401,sK15(U_406,U_405))],[f_164_5]) ).

fof(f_164_7,plain,
    ! [U_406,U_405] :
      ( hBOOL(hAPP_P824029447r_bool(U_405,U_406))
      | ~ hBOOL(hAPP_P824029447r_bool(U_405,hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,sK12(U_406,U_405)),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,sK13(U_406,U_405)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,sK14(U_406,U_405)),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,sK15(U_406,U_405)),sK16(U_406,U_405))))))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK16]),skolemize(U_400,sK16(U_406,U_405))],[f_164_6]) ).

cnf(f_164_8,plain,
    ( hBOOL(hAPP_P824029447r_bool(U_405,U_406))
    | ~ hBOOL(hAPP_P824029447r_bool(U_405,hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,sK12(U_406,U_405)),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,sK13(U_406,U_405)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,sK14(U_406,U_405)),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,sK15(U_406,U_405)),sK16(U_406,U_405))))))) ),
    inference(clausify,[status(thm)],[f_164_7]) ).

fof(f_165_1,plain,
    ! [X_2,Pa] :
      ( hBOOL(hAPP_P975284999r_bool(Pa,X_2))
      | ? [A_1,B_2,C_4,D_2,E_4] : ~ hBOOL(hAPP_P975284999r_bool(Pa,hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,A_1),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,B_2),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,C_4),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,D_2),E_4)))))) ),
    inference(fof_nnf,[status(thm)],[fact_23_prod__induct5]) ).

fof(f_165_2,plain,
    ! [U_413,U_412] :
      ( hBOOL(hAPP_P975284999r_bool(U_412,U_413))
      | ? [U_411,U_410,U_409,U_408,U_407] : ~ hBOOL(hAPP_P975284999r_bool(U_412,hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,U_411),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_410),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_409),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_408),U_407)))))) ),
    inference(variable_rename,[status(thm)],[f_165_1]) ).

fof(f_165_3,plain,
    ! [U_413,U_412] :
      ( hBOOL(hAPP_P975284999r_bool(U_412,U_413))
      | ? [U_410,U_409,U_408,U_407] : ~ hBOOL(hAPP_P975284999r_bool(U_412,hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,sK17(U_413,U_412)),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_410),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_409),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_408),U_407)))))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK17]),skolemize(U_411,sK17(U_413,U_412))],[f_165_2]) ).

fof(f_165_4,plain,
    ! [U_413,U_412] :
      ( hBOOL(hAPP_P975284999r_bool(U_412,U_413))
      | ? [U_409,U_408,U_407] : ~ hBOOL(hAPP_P975284999r_bool(U_412,hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,sK17(U_413,U_412)),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,sK18(U_413,U_412)),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_409),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_408),U_407)))))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK18]),skolemize(U_410,sK18(U_413,U_412))],[f_165_3]) ).

fof(f_165_5,plain,
    ! [U_413,U_412] :
      ( hBOOL(hAPP_P975284999r_bool(U_412,U_413))
      | ? [U_408,U_407] : ~ hBOOL(hAPP_P975284999r_bool(U_412,hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,sK17(U_413,U_412)),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,sK18(U_413,U_412)),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,sK19(U_413,U_412)),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_408),U_407)))))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK19]),skolemize(U_409,sK19(U_413,U_412))],[f_165_4]) ).

fof(f_165_6,plain,
    ! [U_413,U_412] :
      ( hBOOL(hAPP_P975284999r_bool(U_412,U_413))
      | ? [U_407] : ~ hBOOL(hAPP_P975284999r_bool(U_412,hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,sK17(U_413,U_412)),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,sK18(U_413,U_412)),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,sK19(U_413,U_412)),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,sK20(U_413,U_412)),U_407)))))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK20]),skolemize(U_408,sK20(U_413,U_412))],[f_165_5]) ).

fof(f_165_7,plain,
    ! [U_413,U_412] :
      ( hBOOL(hAPP_P975284999r_bool(U_412,U_413))
      | ~ hBOOL(hAPP_P975284999r_bool(U_412,hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,sK17(U_413,U_412)),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,sK18(U_413,U_412)),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,sK19(U_413,U_412)),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,sK20(U_413,U_412)),sK21(U_413,U_412))))))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK21]),skolemize(U_407,sK21(U_413,U_412))],[f_165_6]) ).

cnf(f_165_8,plain,
    ( hBOOL(hAPP_P975284999r_bool(U_412,U_413))
    | ~ hBOOL(hAPP_P975284999r_bool(U_412,hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,sK17(U_413,U_412)),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,sK18(U_413,U_412)),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,sK19(U_413,U_412)),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,sK20(U_413,U_412)),sK21(U_413,U_412))))))) ),
    inference(clausify,[status(thm)],[f_165_7]) ).

fof(f_166_1,plain,
    ! [X_2,Pa] :
      ( hBOOL(hAPP_P1384137393r_bool(Pa,X_2))
      | ? [A_1,B_2,C_4,D_2,E_4] : ~ hBOOL(hAPP_P1384137393r_bool(Pa,hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,A_1),hAPP_P976433298t_char(hAPP_l2048923787t_char(produc2016959032t_char,B_2),hAPP_P1661798543t_char(hAPP_t1369077401t_char(produc1545444669t_char,C_4),hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,D_2),E_4)))))) ),
    inference(fof_nnf,[status(thm)],[fact_24_prod__induct5]) ).

fof(f_166_2,plain,
    ! [U_420,U_419] :
      ( hBOOL(hAPP_P1384137393r_bool(U_419,U_420))
      | ? [U_418,U_417,U_416,U_415,U_414] : ~ hBOOL(hAPP_P1384137393r_bool(U_419,hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,U_418),hAPP_P976433298t_char(hAPP_l2048923787t_char(produc2016959032t_char,U_417),hAPP_P1661798543t_char(hAPP_t1369077401t_char(produc1545444669t_char,U_416),hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_415),U_414)))))) ),
    inference(variable_rename,[status(thm)],[f_166_1]) ).

fof(f_166_3,plain,
    ! [U_420,U_419] :
      ( hBOOL(hAPP_P1384137393r_bool(U_419,U_420))
      | ? [U_417,U_416,U_415,U_414] : ~ hBOOL(hAPP_P1384137393r_bool(U_419,hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,sK22(U_420,U_419)),hAPP_P976433298t_char(hAPP_l2048923787t_char(produc2016959032t_char,U_417),hAPP_P1661798543t_char(hAPP_t1369077401t_char(produc1545444669t_char,U_416),hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_415),U_414)))))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK22]),skolemize(U_418,sK22(U_420,U_419))],[f_166_2]) ).

fof(f_166_4,plain,
    ! [U_420,U_419] :
      ( hBOOL(hAPP_P1384137393r_bool(U_419,U_420))
      | ? [U_416,U_415,U_414] : ~ hBOOL(hAPP_P1384137393r_bool(U_419,hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,sK22(U_420,U_419)),hAPP_P976433298t_char(hAPP_l2048923787t_char(produc2016959032t_char,sK23(U_420,U_419)),hAPP_P1661798543t_char(hAPP_t1369077401t_char(produc1545444669t_char,U_416),hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_415),U_414)))))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK23]),skolemize(U_417,sK23(U_420,U_419))],[f_166_3]) ).

fof(f_166_5,plain,
    ! [U_420,U_419] :
      ( hBOOL(hAPP_P1384137393r_bool(U_419,U_420))
      | ? [U_415,U_414] : ~ hBOOL(hAPP_P1384137393r_bool(U_419,hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,sK22(U_420,U_419)),hAPP_P976433298t_char(hAPP_l2048923787t_char(produc2016959032t_char,sK23(U_420,U_419)),hAPP_P1661798543t_char(hAPP_t1369077401t_char(produc1545444669t_char,sK24(U_420,U_419)),hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_415),U_414)))))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK24]),skolemize(U_416,sK24(U_420,U_419))],[f_166_4]) ).

fof(f_166_6,plain,
    ! [U_420,U_419] :
      ( hBOOL(hAPP_P1384137393r_bool(U_419,U_420))
      | ? [U_414] : ~ hBOOL(hAPP_P1384137393r_bool(U_419,hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,sK22(U_420,U_419)),hAPP_P976433298t_char(hAPP_l2048923787t_char(produc2016959032t_char,sK23(U_420,U_419)),hAPP_P1661798543t_char(hAPP_t1369077401t_char(produc1545444669t_char,sK24(U_420,U_419)),hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,sK25(U_420,U_419)),U_414)))))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK25]),skolemize(U_415,sK25(U_420,U_419))],[f_166_5]) ).

fof(f_166_7,plain,
    ! [U_420,U_419] :
      ( hBOOL(hAPP_P1384137393r_bool(U_419,U_420))
      | ~ hBOOL(hAPP_P1384137393r_bool(U_419,hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,sK22(U_420,U_419)),hAPP_P976433298t_char(hAPP_l2048923787t_char(produc2016959032t_char,sK23(U_420,U_419)),hAPP_P1661798543t_char(hAPP_t1369077401t_char(produc1545444669t_char,sK24(U_420,U_419)),hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,sK25(U_420,U_419)),sK26(U_420,U_419))))))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK26]),skolemize(U_414,sK26(U_420,U_419))],[f_166_6]) ).

cnf(f_166_8,plain,
    ( hBOOL(hAPP_P1384137393r_bool(U_419,U_420))
    | ~ hBOOL(hAPP_P1384137393r_bool(U_419,hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,sK22(U_420,U_419)),hAPP_P976433298t_char(hAPP_l2048923787t_char(produc2016959032t_char,sK23(U_420,U_419)),hAPP_P1661798543t_char(hAPP_t1369077401t_char(produc1545444669t_char,sK24(U_420,U_419)),hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,sK25(U_420,U_419)),sK26(U_420,U_419))))))) ),
    inference(clausify,[status(thm)],[f_166_7]) ).

fof(f_167_1,plain,
    ! [Y_2] :
    ? [A_1,B_2,C_4,D_2,E_4] : Y_2 = hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,A_1),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,B_2),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,C_4),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,D_2),E_4)))),
    inference(fof_nnf,[status(thm)],[fact_25_prod__cases5]) ).

fof(f_167_2,plain,
    ! [U_426] :
    ? [U_425,U_424,U_423,U_422,U_421] : U_426 = hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,U_425),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_424),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_423),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_422),U_421)))),
    inference(variable_rename,[status(thm)],[f_167_1]) ).

fof(f_167_3,plain,
    ! [U_426] :
    ? [U_424,U_423,U_422,U_421] : U_426 = hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,sK27(U_426)),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_424),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_423),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_422),U_421)))),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK27]),skolemize(U_425,sK27(U_426))],[f_167_2]) ).

fof(f_167_4,plain,
    ! [U_426] :
    ? [U_423,U_422,U_421] : U_426 = hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,sK27(U_426)),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,sK28(U_426)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_423),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_422),U_421)))),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK28]),skolemize(U_424,sK28(U_426))],[f_167_3]) ).

fof(f_167_5,plain,
    ! [U_426] :
    ? [U_422,U_421] : U_426 = hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,sK27(U_426)),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,sK28(U_426)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,sK29(U_426)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_422),U_421)))),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK29]),skolemize(U_423,sK29(U_426))],[f_167_4]) ).

fof(f_167_6,plain,
    ! [U_426] :
    ? [U_421] : U_426 = hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,sK27(U_426)),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,sK28(U_426)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,sK29(U_426)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK30(U_426)),U_421)))),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK30]),skolemize(U_422,sK30(U_426))],[f_167_5]) ).

fof(f_167_7,plain,
    ! [U_426] : U_426 = hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,sK27(U_426)),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,sK28(U_426)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,sK29(U_426)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK30(U_426)),sK31(U_426))))),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK31]),skolemize(U_421,sK31(U_426))],[f_167_6]) ).

cnf(f_167_8,plain,
    U_426 = hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,sK27(U_426)),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,sK28(U_426)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,sK29(U_426)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK30(U_426)),sK31(U_426))))),
    inference(clausify,[status(thm)],[f_167_7]) ).

fof(f_168_1,plain,
    ! [Y_2] :
    ? [A_1,B_2,C_4,D_2,E_4] : Y_2 = hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,A_1),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,B_2),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,C_4),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,D_2),E_4)))),
    inference(fof_nnf,[status(thm)],[fact_26_prod__cases5]) ).

fof(f_168_2,plain,
    ! [U_432] :
    ? [U_431,U_430,U_429,U_428,U_427] : U_432 = hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,U_431),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_430),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_429),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_428),U_427)))),
    inference(variable_rename,[status(thm)],[f_168_1]) ).

fof(f_168_3,plain,
    ! [U_432] :
    ? [U_430,U_429,U_428,U_427] : U_432 = hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,sK32(U_432)),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_430),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_429),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_428),U_427)))),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK32]),skolemize(U_431,sK32(U_432))],[f_168_2]) ).

fof(f_168_4,plain,
    ! [U_432] :
    ? [U_429,U_428,U_427] : U_432 = hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,sK32(U_432)),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK33(U_432)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_429),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_428),U_427)))),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK33]),skolemize(U_430,sK33(U_432))],[f_168_3]) ).

fof(f_168_5,plain,
    ! [U_432] :
    ? [U_428,U_427] : U_432 = hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,sK32(U_432)),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK33(U_432)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK34(U_432)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_428),U_427)))),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK34]),skolemize(U_429,sK34(U_432))],[f_168_4]) ).

fof(f_168_6,plain,
    ! [U_432] :
    ? [U_427] : U_432 = hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,sK32(U_432)),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK33(U_432)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK34(U_432)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK35(U_432)),U_427)))),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK35]),skolemize(U_428,sK35(U_432))],[f_168_5]) ).

fof(f_168_7,plain,
    ! [U_432] : U_432 = hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,sK32(U_432)),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK33(U_432)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK34(U_432)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK35(U_432)),sK36(U_432))))),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK36]),skolemize(U_427,sK36(U_432))],[f_168_6]) ).

cnf(f_168_8,plain,
    U_432 = hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,sK32(U_432)),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK33(U_432)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK34(U_432)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK35(U_432)),sK36(U_432))))),
    inference(clausify,[status(thm)],[f_168_7]) ).

fof(f_169_1,plain,
    ! [Y_7] :
    ? [A_1,B_2,C_4,D_2,E_4] : Y_7 = hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,A_1),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,B_2),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,C_4),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,D_2),E_4)))),
    inference(fof_nnf,[status(thm)],[fact_27_prod__cases5]) ).

fof(f_169_2,plain,
    ! [U_438] :
    ? [U_437,U_436,U_435,U_434,U_433] : U_438 = hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,U_437),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_436),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_435),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_434),U_433)))),
    inference(variable_rename,[status(thm)],[f_169_1]) ).

fof(f_169_3,plain,
    ! [U_438] :
    ? [U_436,U_435,U_434,U_433] : U_438 = hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,sK37(U_438)),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_436),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_435),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_434),U_433)))),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK37]),skolemize(U_437,sK37(U_438))],[f_169_2]) ).

fof(f_169_4,plain,
    ! [U_438] :
    ? [U_435,U_434,U_433] : U_438 = hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,sK37(U_438)),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,sK38(U_438)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_435),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_434),U_433)))),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK38]),skolemize(U_436,sK38(U_438))],[f_169_3]) ).

fof(f_169_5,plain,
    ! [U_438] :
    ? [U_434,U_433] : U_438 = hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,sK37(U_438)),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,sK38(U_438)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,sK39(U_438)),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_434),U_433)))),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK39]),skolemize(U_435,sK39(U_438))],[f_169_4]) ).

fof(f_169_6,plain,
    ! [U_438] :
    ? [U_433] : U_438 = hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,sK37(U_438)),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,sK38(U_438)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,sK39(U_438)),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,sK40(U_438)),U_433)))),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK40]),skolemize(U_434,sK40(U_438))],[f_169_5]) ).

fof(f_169_7,plain,
    ! [U_438] : U_438 = hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,sK37(U_438)),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,sK38(U_438)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,sK39(U_438)),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,sK40(U_438)),sK41(U_438))))),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK41]),skolemize(U_433,sK41(U_438))],[f_169_6]) ).

cnf(f_169_8,plain,
    U_438 = hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,sK37(U_438)),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,sK38(U_438)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,sK39(U_438)),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,sK40(U_438)),sK41(U_438))))),
    inference(clausify,[status(thm)],[f_169_7]) ).

fof(f_170_1,plain,
    ! [Y_7] :
    ? [A_1,B_2,C_4,D_2,E_4] : Y_7 = hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,A_1),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,B_2),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,C_4),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,D_2),E_4)))),
    inference(fof_nnf,[status(thm)],[fact_28_prod__cases5]) ).

fof(f_170_2,plain,
    ! [U_444] :
    ? [U_443,U_442,U_441,U_440,U_439] : U_444 = hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,U_443),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_442),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_441),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_440),U_439)))),
    inference(variable_rename,[status(thm)],[f_170_1]) ).

fof(f_170_3,plain,
    ! [U_444] :
    ? [U_442,U_441,U_440,U_439] : U_444 = hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,sK42(U_444)),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_442),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_441),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_440),U_439)))),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK42]),skolemize(U_443,sK42(U_444))],[f_170_2]) ).

fof(f_170_4,plain,
    ! [U_444] :
    ? [U_441,U_440,U_439] : U_444 = hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,sK42(U_444)),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,sK43(U_444)),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_441),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_440),U_439)))),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK43]),skolemize(U_442,sK43(U_444))],[f_170_3]) ).

fof(f_170_5,plain,
    ! [U_444] :
    ? [U_440,U_439] : U_444 = hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,sK42(U_444)),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,sK43(U_444)),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,sK44(U_444)),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_440),U_439)))),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK44]),skolemize(U_441,sK44(U_444))],[f_170_4]) ).

fof(f_170_6,plain,
    ! [U_444] :
    ? [U_439] : U_444 = hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,sK42(U_444)),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,sK43(U_444)),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,sK44(U_444)),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,sK45(U_444)),U_439)))),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK45]),skolemize(U_440,sK45(U_444))],[f_170_5]) ).

fof(f_170_7,plain,
    ! [U_444] : U_444 = hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,sK42(U_444)),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,sK43(U_444)),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,sK44(U_444)),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,sK45(U_444)),sK46(U_444))))),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK46]),skolemize(U_439,sK46(U_444))],[f_170_6]) ).

cnf(f_170_8,plain,
    U_444 = hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,sK42(U_444)),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,sK43(U_444)),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,sK44(U_444)),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,sK45(U_444)),sK46(U_444))))),
    inference(clausify,[status(thm)],[f_170_7]) ).

fof(f_171_1,plain,
    ! [Y_7] :
    ? [A_1,B_2,C_4,D_2,E_4] : Y_7 = hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,A_1),hAPP_P976433298t_char(hAPP_l2048923787t_char(produc2016959032t_char,B_2),hAPP_P1661798543t_char(hAPP_t1369077401t_char(produc1545444669t_char,C_4),hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,D_2),E_4)))),
    inference(fof_nnf,[status(thm)],[fact_29_prod__cases5]) ).

fof(f_171_2,plain,
    ! [U_450] :
    ? [U_449,U_448,U_447,U_446,U_445] : U_450 = hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,U_449),hAPP_P976433298t_char(hAPP_l2048923787t_char(produc2016959032t_char,U_448),hAPP_P1661798543t_char(hAPP_t1369077401t_char(produc1545444669t_char,U_447),hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_446),U_445)))),
    inference(variable_rename,[status(thm)],[f_171_1]) ).

fof(f_171_3,plain,
    ! [U_450] :
    ? [U_448,U_447,U_446,U_445] : U_450 = hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,sK47(U_450)),hAPP_P976433298t_char(hAPP_l2048923787t_char(produc2016959032t_char,U_448),hAPP_P1661798543t_char(hAPP_t1369077401t_char(produc1545444669t_char,U_447),hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_446),U_445)))),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK47]),skolemize(U_449,sK47(U_450))],[f_171_2]) ).

fof(f_171_4,plain,
    ! [U_450] :
    ? [U_447,U_446,U_445] : U_450 = hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,sK47(U_450)),hAPP_P976433298t_char(hAPP_l2048923787t_char(produc2016959032t_char,sK48(U_450)),hAPP_P1661798543t_char(hAPP_t1369077401t_char(produc1545444669t_char,U_447),hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_446),U_445)))),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK48]),skolemize(U_448,sK48(U_450))],[f_171_3]) ).

fof(f_171_5,plain,
    ! [U_450] :
    ? [U_446,U_445] : U_450 = hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,sK47(U_450)),hAPP_P976433298t_char(hAPP_l2048923787t_char(produc2016959032t_char,sK48(U_450)),hAPP_P1661798543t_char(hAPP_t1369077401t_char(produc1545444669t_char,sK49(U_450)),hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_446),U_445)))),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK49]),skolemize(U_447,sK49(U_450))],[f_171_4]) ).

fof(f_171_6,plain,
    ! [U_450] :
    ? [U_445] : U_450 = hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,sK47(U_450)),hAPP_P976433298t_char(hAPP_l2048923787t_char(produc2016959032t_char,sK48(U_450)),hAPP_P1661798543t_char(hAPP_t1369077401t_char(produc1545444669t_char,sK49(U_450)),hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,sK50(U_450)),U_445)))),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK50]),skolemize(U_446,sK50(U_450))],[f_171_5]) ).

fof(f_171_7,plain,
    ! [U_450] : U_450 = hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,sK47(U_450)),hAPP_P976433298t_char(hAPP_l2048923787t_char(produc2016959032t_char,sK48(U_450)),hAPP_P1661798543t_char(hAPP_t1369077401t_char(produc1545444669t_char,sK49(U_450)),hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,sK50(U_450)),sK51(U_450))))),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK51]),skolemize(U_445,sK51(U_450))],[f_171_6]) ).

cnf(f_171_8,plain,
    U_450 = hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,sK47(U_450)),hAPP_P976433298t_char(hAPP_l2048923787t_char(produc2016959032t_char,sK48(U_450)),hAPP_P1661798543t_char(hAPP_t1369077401t_char(produc1545444669t_char,sK49(U_450)),hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,sK50(U_450)),sK51(U_450))))),
    inference(clausify,[status(thm)],[f_171_7]) ).

fof(f_172_1,plain,
    ! [X_2,Pa] :
      ( hBOOL(hAPP_P1384137393r_bool(Pa,X_2))
      | ? [A_1,B_2,C_4,D_2] : ~ hBOOL(hAPP_P1384137393r_bool(Pa,hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,A_1),hAPP_P976433298t_char(hAPP_l2048923787t_char(produc2016959032t_char,B_2),hAPP_P1661798543t_char(hAPP_t1369077401t_char(produc1545444669t_char,C_4),D_2))))) ),
    inference(fof_nnf,[status(thm)],[fact_30_prod__induct4]) ).

fof(f_172_2,plain,
    ! [U_456,U_455] :
      ( hBOOL(hAPP_P1384137393r_bool(U_455,U_456))
      | ? [U_454,U_453,U_452,U_451] : ~ hBOOL(hAPP_P1384137393r_bool(U_455,hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,U_454),hAPP_P976433298t_char(hAPP_l2048923787t_char(produc2016959032t_char,U_453),hAPP_P1661798543t_char(hAPP_t1369077401t_char(produc1545444669t_char,U_452),U_451))))) ),
    inference(variable_rename,[status(thm)],[f_172_1]) ).

fof(f_172_3,plain,
    ! [U_456,U_455] :
      ( hBOOL(hAPP_P1384137393r_bool(U_455,U_456))
      | ? [U_453,U_452,U_451] : ~ hBOOL(hAPP_P1384137393r_bool(U_455,hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,sK52(U_456,U_455)),hAPP_P976433298t_char(hAPP_l2048923787t_char(produc2016959032t_char,U_453),hAPP_P1661798543t_char(hAPP_t1369077401t_char(produc1545444669t_char,U_452),U_451))))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK52]),skolemize(U_454,sK52(U_456,U_455))],[f_172_2]) ).

fof(f_172_4,plain,
    ! [U_456,U_455] :
      ( hBOOL(hAPP_P1384137393r_bool(U_455,U_456))
      | ? [U_452,U_451] : ~ hBOOL(hAPP_P1384137393r_bool(U_455,hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,sK52(U_456,U_455)),hAPP_P976433298t_char(hAPP_l2048923787t_char(produc2016959032t_char,sK53(U_456,U_455)),hAPP_P1661798543t_char(hAPP_t1369077401t_char(produc1545444669t_char,U_452),U_451))))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK53]),skolemize(U_453,sK53(U_456,U_455))],[f_172_3]) ).

fof(f_172_5,plain,
    ! [U_456,U_455] :
      ( hBOOL(hAPP_P1384137393r_bool(U_455,U_456))
      | ? [U_451] : ~ hBOOL(hAPP_P1384137393r_bool(U_455,hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,sK52(U_456,U_455)),hAPP_P976433298t_char(hAPP_l2048923787t_char(produc2016959032t_char,sK53(U_456,U_455)),hAPP_P1661798543t_char(hAPP_t1369077401t_char(produc1545444669t_char,sK54(U_456,U_455)),U_451))))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK54]),skolemize(U_452,sK54(U_456,U_455))],[f_172_4]) ).

fof(f_172_6,plain,
    ! [U_456,U_455] :
      ( hBOOL(hAPP_P1384137393r_bool(U_455,U_456))
      | ~ hBOOL(hAPP_P1384137393r_bool(U_455,hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,sK52(U_456,U_455)),hAPP_P976433298t_char(hAPP_l2048923787t_char(produc2016959032t_char,sK53(U_456,U_455)),hAPP_P1661798543t_char(hAPP_t1369077401t_char(produc1545444669t_char,sK54(U_456,U_455)),sK55(U_456,U_455)))))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK55]),skolemize(U_451,sK55(U_456,U_455))],[f_172_5]) ).

cnf(f_172_7,plain,
    ( hBOOL(hAPP_P1384137393r_bool(U_455,U_456))
    | ~ hBOOL(hAPP_P1384137393r_bool(U_455,hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,sK52(U_456,U_455)),hAPP_P976433298t_char(hAPP_l2048923787t_char(produc2016959032t_char,sK53(U_456,U_455)),hAPP_P1661798543t_char(hAPP_t1369077401t_char(produc1545444669t_char,sK54(U_456,U_455)),sK55(U_456,U_455)))))) ),
    inference(clausify,[status(thm)],[f_172_6]) ).

fof(f_173_1,plain,
    ! [X_2,Pa] :
      ( hBOOL(hAPP_P282169671l_bool(Pa,X_2))
      | ? [A_1,B_2,C_4,D_2] : ~ hBOOL(hAPP_P282169671l_bool(Pa,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_1),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,B_2),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,C_4),D_2))))) ),
    inference(fof_nnf,[status(thm)],[fact_31_prod__induct4]) ).

fof(f_173_2,plain,
    ! [U_462,U_461] :
      ( hBOOL(hAPP_P282169671l_bool(U_461,U_462))
      | ? [U_460,U_459,U_458,U_457] : ~ hBOOL(hAPP_P282169671l_bool(U_461,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_460),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_459),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_458),U_457))))) ),
    inference(variable_rename,[status(thm)],[f_173_1]) ).

fof(f_173_3,plain,
    ! [U_462,U_461] :
      ( hBOOL(hAPP_P282169671l_bool(U_461,U_462))
      | ? [U_459,U_458,U_457] : ~ hBOOL(hAPP_P282169671l_bool(U_461,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK56(U_462,U_461)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_459),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_458),U_457))))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK56]),skolemize(U_460,sK56(U_462,U_461))],[f_173_2]) ).

fof(f_173_4,plain,
    ! [U_462,U_461] :
      ( hBOOL(hAPP_P282169671l_bool(U_461,U_462))
      | ? [U_458,U_457] : ~ hBOOL(hAPP_P282169671l_bool(U_461,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK56(U_462,U_461)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK57(U_462,U_461)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_458),U_457))))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK57]),skolemize(U_459,sK57(U_462,U_461))],[f_173_3]) ).

fof(f_173_5,plain,
    ! [U_462,U_461] :
      ( hBOOL(hAPP_P282169671l_bool(U_461,U_462))
      | ? [U_457] : ~ hBOOL(hAPP_P282169671l_bool(U_461,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK56(U_462,U_461)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK57(U_462,U_461)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK58(U_462,U_461)),U_457))))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK58]),skolemize(U_458,sK58(U_462,U_461))],[f_173_4]) ).

fof(f_173_6,plain,
    ! [U_462,U_461] :
      ( hBOOL(hAPP_P282169671l_bool(U_461,U_462))
      | ~ hBOOL(hAPP_P282169671l_bool(U_461,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK56(U_462,U_461)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK57(U_462,U_461)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK58(U_462,U_461)),sK59(U_462,U_461)))))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK59]),skolemize(U_457,sK59(U_462,U_461))],[f_173_5]) ).

cnf(f_173_7,plain,
    ( hBOOL(hAPP_P282169671l_bool(U_461,U_462))
    | ~ hBOOL(hAPP_P282169671l_bool(U_461,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK56(U_462,U_461)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK57(U_462,U_461)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK58(U_462,U_461)),sK59(U_462,U_461)))))) ),
    inference(clausify,[status(thm)],[f_173_6]) ).

fof(f_174_1,plain,
    ! [X_2,Pa] :
      ( hBOOL(hAPP_P1333315679l_bool(Pa,X_2))
      | ? [A_1,B_2,C_4,D_2] : ~ hBOOL(hAPP_P1333315679l_bool(Pa,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A_1),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,B_2),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,C_4),D_2))))) ),
    inference(fof_nnf,[status(thm)],[fact_32_prod__induct4]) ).

fof(f_174_2,plain,
    ! [U_468,U_467] :
      ( hBOOL(hAPP_P1333315679l_bool(U_467,U_468))
      | ? [U_466,U_465,U_464,U_463] : ~ hBOOL(hAPP_P1333315679l_bool(U_467,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_466),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_465),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_464),U_463))))) ),
    inference(variable_rename,[status(thm)],[f_174_1]) ).

fof(f_174_3,plain,
    ! [U_468,U_467] :
      ( hBOOL(hAPP_P1333315679l_bool(U_467,U_468))
      | ? [U_465,U_464,U_463] : ~ hBOOL(hAPP_P1333315679l_bool(U_467,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,sK60(U_468,U_467)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_465),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_464),U_463))))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK60]),skolemize(U_466,sK60(U_468,U_467))],[f_174_2]) ).

fof(f_174_4,plain,
    ! [U_468,U_467] :
      ( hBOOL(hAPP_P1333315679l_bool(U_467,U_468))
      | ? [U_464,U_463] : ~ hBOOL(hAPP_P1333315679l_bool(U_467,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,sK60(U_468,U_467)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,sK61(U_468,U_467)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_464),U_463))))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK61]),skolemize(U_465,sK61(U_468,U_467))],[f_174_3]) ).

fof(f_174_5,plain,
    ! [U_468,U_467] :
      ( hBOOL(hAPP_P1333315679l_bool(U_467,U_468))
      | ? [U_463] : ~ hBOOL(hAPP_P1333315679l_bool(U_467,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,sK60(U_468,U_467)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,sK61(U_468,U_467)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK62(U_468,U_467)),U_463))))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK62]),skolemize(U_464,sK62(U_468,U_467))],[f_174_4]) ).

fof(f_174_6,plain,
    ! [U_468,U_467] :
      ( hBOOL(hAPP_P1333315679l_bool(U_467,U_468))
      | ~ hBOOL(hAPP_P1333315679l_bool(U_467,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,sK60(U_468,U_467)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,sK61(U_468,U_467)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK62(U_468,U_467)),sK63(U_468,U_467)))))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK63]),skolemize(U_463,sK63(U_468,U_467))],[f_174_5]) ).

cnf(f_174_7,plain,
    ( hBOOL(hAPP_P1333315679l_bool(U_467,U_468))
    | ~ hBOOL(hAPP_P1333315679l_bool(U_467,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,sK60(U_468,U_467)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,sK61(U_468,U_467)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK62(U_468,U_467)),sK63(U_468,U_467)))))) ),
    inference(clausify,[status(thm)],[f_174_6]) ).

fof(f_175_1,plain,
    ! [X_2,Pa] :
      ( hBOOL(hAPP_P92196306r_bool(Pa,X_2))
      | ? [A_1,B_2,C_4,D_2] : ~ hBOOL(hAPP_P92196306r_bool(Pa,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,A_1),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,B_2),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,C_4),D_2))))) ),
    inference(fof_nnf,[status(thm)],[fact_33_prod__induct4]) ).

fof(f_175_2,plain,
    ! [U_474,U_473] :
      ( hBOOL(hAPP_P92196306r_bool(U_473,U_474))
      | ? [U_472,U_471,U_470,U_469] : ~ hBOOL(hAPP_P92196306r_bool(U_473,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_472),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_471),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_470),U_469))))) ),
    inference(variable_rename,[status(thm)],[f_175_1]) ).

fof(f_175_3,plain,
    ! [U_474,U_473] :
      ( hBOOL(hAPP_P92196306r_bool(U_473,U_474))
      | ? [U_471,U_470,U_469] : ~ hBOOL(hAPP_P92196306r_bool(U_473,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,sK64(U_474,U_473)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_471),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_470),U_469))))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK64]),skolemize(U_472,sK64(U_474,U_473))],[f_175_2]) ).

fof(f_175_4,plain,
    ! [U_474,U_473] :
      ( hBOOL(hAPP_P92196306r_bool(U_473,U_474))
      | ? [U_470,U_469] : ~ hBOOL(hAPP_P92196306r_bool(U_473,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,sK64(U_474,U_473)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,sK65(U_474,U_473)),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_470),U_469))))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK65]),skolemize(U_471,sK65(U_474,U_473))],[f_175_3]) ).

fof(f_175_5,plain,
    ! [U_474,U_473] :
      ( hBOOL(hAPP_P92196306r_bool(U_473,U_474))
      | ? [U_469] : ~ hBOOL(hAPP_P92196306r_bool(U_473,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,sK64(U_474,U_473)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,sK65(U_474,U_473)),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,sK66(U_474,U_473)),U_469))))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK66]),skolemize(U_470,sK66(U_474,U_473))],[f_175_4]) ).

fof(f_175_6,plain,
    ! [U_474,U_473] :
      ( hBOOL(hAPP_P92196306r_bool(U_473,U_474))
      | ~ hBOOL(hAPP_P92196306r_bool(U_473,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,sK64(U_474,U_473)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,sK65(U_474,U_473)),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,sK66(U_474,U_473)),sK67(U_474,U_473)))))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK67]),skolemize(U_469,sK67(U_474,U_473))],[f_175_5]) ).

cnf(f_175_7,plain,
    ( hBOOL(hAPP_P92196306r_bool(U_473,U_474))
    | ~ hBOOL(hAPP_P92196306r_bool(U_473,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,sK64(U_474,U_473)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,sK65(U_474,U_473)),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,sK66(U_474,U_473)),sK67(U_474,U_473)))))) ),
    inference(clausify,[status(thm)],[f_175_6]) ).

fof(f_176_1,plain,
    ! [X_2,Pa] :
      ( hBOOL(hAPP_P1680401186r_bool(Pa,X_2))
      | ? [A_1,B_2,C_4,D_2] : ~ hBOOL(hAPP_P1680401186r_bool(Pa,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,A_1),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,B_2),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,C_4),D_2))))) ),
    inference(fof_nnf,[status(thm)],[fact_34_prod__induct4]) ).

fof(f_176_2,plain,
    ! [U_480,U_479] :
      ( hBOOL(hAPP_P1680401186r_bool(U_479,U_480))
      | ? [U_478,U_477,U_476,U_475] : ~ hBOOL(hAPP_P1680401186r_bool(U_479,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_478),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_477),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_476),U_475))))) ),
    inference(variable_rename,[status(thm)],[f_176_1]) ).

fof(f_176_3,plain,
    ! [U_480,U_479] :
      ( hBOOL(hAPP_P1680401186r_bool(U_479,U_480))
      | ? [U_477,U_476,U_475] : ~ hBOOL(hAPP_P1680401186r_bool(U_479,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,sK68(U_480,U_479)),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_477),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_476),U_475))))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK68]),skolemize(U_478,sK68(U_480,U_479))],[f_176_2]) ).

fof(f_176_4,plain,
    ! [U_480,U_479] :
      ( hBOOL(hAPP_P1680401186r_bool(U_479,U_480))
      | ? [U_476,U_475] : ~ hBOOL(hAPP_P1680401186r_bool(U_479,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,sK68(U_480,U_479)),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,sK69(U_480,U_479)),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_476),U_475))))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK69]),skolemize(U_477,sK69(U_480,U_479))],[f_176_3]) ).

fof(f_176_5,plain,
    ! [U_480,U_479] :
      ( hBOOL(hAPP_P1680401186r_bool(U_479,U_480))
      | ? [U_475] : ~ hBOOL(hAPP_P1680401186r_bool(U_479,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,sK68(U_480,U_479)),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,sK69(U_480,U_479)),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,sK70(U_480,U_479)),U_475))))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK70]),skolemize(U_476,sK70(U_480,U_479))],[f_176_4]) ).

fof(f_176_6,plain,
    ! [U_480,U_479] :
      ( hBOOL(hAPP_P1680401186r_bool(U_479,U_480))
      | ~ hBOOL(hAPP_P1680401186r_bool(U_479,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,sK68(U_480,U_479)),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,sK69(U_480,U_479)),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,sK70(U_480,U_479)),sK71(U_480,U_479)))))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK71]),skolemize(U_475,sK71(U_480,U_479))],[f_176_5]) ).

cnf(f_176_7,plain,
    ( hBOOL(hAPP_P1680401186r_bool(U_479,U_480))
    | ~ hBOOL(hAPP_P1680401186r_bool(U_479,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,sK68(U_480,U_479)),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,sK69(U_480,U_479)),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,sK70(U_480,U_479)),sK71(U_480,U_479)))))) ),
    inference(clausify,[status(thm)],[f_176_6]) ).

fof(f_177_1,plain,
    ! [X_2,Pa] :
      ( hBOOL(hAPP_P378063101l_bool(Pa,X_2))
      | ? [A_1,B_2,C_4,D_2] : ~ hBOOL(hAPP_P378063101l_bool(Pa,hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,A_1),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,B_2),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,C_4),D_2))))) ),
    inference(fof_nnf,[status(thm)],[fact_35_prod__induct4]) ).

fof(f_177_2,plain,
    ! [U_486,U_485] :
      ( hBOOL(hAPP_P378063101l_bool(U_485,U_486))
      | ? [U_484,U_483,U_482,U_481] : ~ hBOOL(hAPP_P378063101l_bool(U_485,hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,U_484),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_483),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_482),U_481))))) ),
    inference(variable_rename,[status(thm)],[f_177_1]) ).

fof(f_177_3,plain,
    ! [U_486,U_485] :
      ( hBOOL(hAPP_P378063101l_bool(U_485,U_486))
      | ? [U_483,U_482,U_481] : ~ hBOOL(hAPP_P378063101l_bool(U_485,hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,sK72(U_486,U_485)),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_483),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_482),U_481))))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK72]),skolemize(U_484,sK72(U_486,U_485))],[f_177_2]) ).

fof(f_177_4,plain,
    ! [U_486,U_485] :
      ( hBOOL(hAPP_P378063101l_bool(U_485,U_486))
      | ? [U_482,U_481] : ~ hBOOL(hAPP_P378063101l_bool(U_485,hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,sK72(U_486,U_485)),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK73(U_486,U_485)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_482),U_481))))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK73]),skolemize(U_483,sK73(U_486,U_485))],[f_177_3]) ).

fof(f_177_5,plain,
    ! [U_486,U_485] :
      ( hBOOL(hAPP_P378063101l_bool(U_485,U_486))
      | ? [U_481] : ~ hBOOL(hAPP_P378063101l_bool(U_485,hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,sK72(U_486,U_485)),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK73(U_486,U_485)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK74(U_486,U_485)),U_481))))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK74]),skolemize(U_482,sK74(U_486,U_485))],[f_177_4]) ).

fof(f_177_6,plain,
    ! [U_486,U_485] :
      ( hBOOL(hAPP_P378063101l_bool(U_485,U_486))
      | ~ hBOOL(hAPP_P378063101l_bool(U_485,hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,sK72(U_486,U_485)),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK73(U_486,U_485)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK74(U_486,U_485)),sK75(U_486,U_485)))))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK75]),skolemize(U_481,sK75(U_486,U_485))],[f_177_5]) ).

cnf(f_177_7,plain,
    ( hBOOL(hAPP_P378063101l_bool(U_485,U_486))
    | ~ hBOOL(hAPP_P378063101l_bool(U_485,hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,sK72(U_486,U_485)),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK73(U_486,U_485)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK74(U_486,U_485)),sK75(U_486,U_485)))))) ),
    inference(clausify,[status(thm)],[f_177_6]) ).

fof(f_178_1,plain,
    ! [X_2,Pa] :
      ( hBOOL(hAPP_P738987199l_bool(Pa,X_2))
      | ? [A_1,B_2,C_4,D_2] :
          ( ~ hBOOL(hAPP_P738987199l_bool(Pa,hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,A_1),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,B_2),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,C_4),D_2)))))
          & is_bop(B_2) ) ),
    inference(fof_nnf,[status(thm)],[fact_36_prod__induct4]) ).

fof(f_178_2,plain,
    ! [U_492,U_491] :
      ( hBOOL(hAPP_P738987199l_bool(U_491,U_492))
      | ? [U_490,U_489,U_488,U_487] :
          ( ~ hBOOL(hAPP_P738987199l_bool(U_491,hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,U_490),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_489),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_488),U_487)))))
          & is_bop(U_489) ) ),
    inference(variable_rename,[status(thm)],[f_178_1]) ).

fof(f_178_3,plain,
    ! [U_492,U_491] :
      ( hBOOL(hAPP_P738987199l_bool(U_491,U_492))
      | ? [U_490,U_489] :
          ( ? [U_488,U_487] : ~ hBOOL(hAPP_P738987199l_bool(U_491,hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,U_490),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_489),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_488),U_487)))))
          & is_bop(U_489) ) ),
    inference(miniscope,[status(thm)],[f_178_2]) ).

fof(f_178_4,plain,
    ! [U_492,U_491] :
      ( hBOOL(hAPP_P738987199l_bool(U_491,U_492))
      | ? [U_489] :
          ( ? [U_488,U_487] : ~ hBOOL(hAPP_P738987199l_bool(U_491,hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,sK76(U_492,U_491)),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_489),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_488),U_487)))))
          & is_bop(U_489) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK76]),skolemize(U_490,sK76(U_492,U_491))],[f_178_3]) ).

fof(f_178_5,plain,
    ! [U_492,U_491] :
      ( hBOOL(hAPP_P738987199l_bool(U_491,U_492))
      | ( ? [U_488,U_487] : ~ hBOOL(hAPP_P738987199l_bool(U_491,hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,sK76(U_492,U_491)),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,sK77(U_492,U_491)),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_488),U_487)))))
        & is_bop(sK77(U_492,U_491)) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK77]),skolemize(U_489,sK77(U_492,U_491))],[f_178_4]) ).

fof(f_178_6,plain,
    ! [U_492,U_491] :
      ( hBOOL(hAPP_P738987199l_bool(U_491,U_492))
      | ( ? [U_487] : ~ hBOOL(hAPP_P738987199l_bool(U_491,hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,sK76(U_492,U_491)),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,sK77(U_492,U_491)),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,sK78(U_492,U_491)),U_487)))))
        & is_bop(sK77(U_492,U_491)) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK78]),skolemize(U_488,sK78(U_492,U_491))],[f_178_5]) ).

fof(f_178_7,plain,
    ! [U_492,U_491] :
      ( hBOOL(hAPP_P738987199l_bool(U_491,U_492))
      | ( ~ hBOOL(hAPP_P738987199l_bool(U_491,hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,sK76(U_492,U_491)),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,sK77(U_492,U_491)),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,sK78(U_492,U_491)),sK79(U_492,U_491))))))
        & is_bop(sK77(U_492,U_491)) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK79]),skolemize(U_487,sK79(U_492,U_491))],[f_178_6]) ).

cnf(f_178_8,plain,
    ( is_bop(sK77(U_492,U_491))
    | hBOOL(hAPP_P738987199l_bool(U_491,U_492)) ),
    inference(clausify,[status(thm)],[f_178_7]) ).

cnf(f_178_9,plain,
    ( ~ hBOOL(hAPP_P738987199l_bool(U_491,hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,sK76(U_492,U_491)),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,sK77(U_492,U_491)),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,sK78(U_492,U_491)),sK79(U_492,U_491))))))
    | hBOOL(hAPP_P738987199l_bool(U_491,U_492)) ),
    inference(clausify,[status(thm)],[f_178_7]) ).

fof(f_179_1,plain,
    ! [X_2,Pa] :
      ( hBOOL(hAPP_P2028072621l_bool(Pa,X_2))
      | ? [A_1,B_2,C_4,D_2] : ~ hBOOL(hAPP_P2028072621l_bool(Pa,hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,A_1),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,B_2),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,C_4),D_2))))) ),
    inference(fof_nnf,[status(thm)],[fact_37_prod__induct4]) ).

fof(f_179_2,plain,
    ! [U_498,U_497] :
      ( hBOOL(hAPP_P2028072621l_bool(U_497,U_498))
      | ? [U_496,U_495,U_494,U_493] : ~ hBOOL(hAPP_P2028072621l_bool(U_497,hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,U_496),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_495),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_494),U_493))))) ),
    inference(variable_rename,[status(thm)],[f_179_1]) ).

fof(f_179_3,plain,
    ! [U_498,U_497] :
      ( hBOOL(hAPP_P2028072621l_bool(U_497,U_498))
      | ? [U_495,U_494,U_493] : ~ hBOOL(hAPP_P2028072621l_bool(U_497,hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,sK80(U_498,U_497)),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_495),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_494),U_493))))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK80]),skolemize(U_496,sK80(U_498,U_497))],[f_179_2]) ).

fof(f_179_4,plain,
    ! [U_498,U_497] :
      ( hBOOL(hAPP_P2028072621l_bool(U_497,U_498))
      | ? [U_494,U_493] : ~ hBOOL(hAPP_P2028072621l_bool(U_497,hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,sK80(U_498,U_497)),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,sK81(U_498,U_497)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_494),U_493))))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK81]),skolemize(U_495,sK81(U_498,U_497))],[f_179_3]) ).

fof(f_179_5,plain,
    ! [U_498,U_497] :
      ( hBOOL(hAPP_P2028072621l_bool(U_497,U_498))
      | ? [U_493] : ~ hBOOL(hAPP_P2028072621l_bool(U_497,hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,sK80(U_498,U_497)),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,sK81(U_498,U_497)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,sK82(U_498,U_497)),U_493))))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK82]),skolemize(U_494,sK82(U_498,U_497))],[f_179_4]) ).

fof(f_179_6,plain,
    ! [U_498,U_497] :
      ( hBOOL(hAPP_P2028072621l_bool(U_497,U_498))
      | ~ hBOOL(hAPP_P2028072621l_bool(U_497,hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,sK80(U_498,U_497)),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,sK81(U_498,U_497)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,sK82(U_498,U_497)),sK83(U_498,U_497)))))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK83]),skolemize(U_493,sK83(U_498,U_497))],[f_179_5]) ).

cnf(f_179_7,plain,
    ( hBOOL(hAPP_P2028072621l_bool(U_497,U_498))
    | ~ hBOOL(hAPP_P2028072621l_bool(U_497,hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,sK80(U_498,U_497)),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,sK81(U_498,U_497)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,sK82(U_498,U_497)),sK83(U_498,U_497)))))) ),
    inference(clausify,[status(thm)],[f_179_6]) ).

fof(f_180_1,plain,
    ! [X_2,Pa] :
      ( hBOOL(hAPP_P824029447r_bool(Pa,X_2))
      | ? [A_1,B_2,C_4,D_2] : ~ hBOOL(hAPP_P824029447r_bool(Pa,hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,A_1),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,B_2),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,C_4),D_2))))) ),
    inference(fof_nnf,[status(thm)],[fact_38_prod__induct4]) ).

fof(f_180_2,plain,
    ! [U_504,U_503] :
      ( hBOOL(hAPP_P824029447r_bool(U_503,U_504))
      | ? [U_502,U_501,U_500,U_499] : ~ hBOOL(hAPP_P824029447r_bool(U_503,hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,U_502),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_501),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_500),U_499))))) ),
    inference(variable_rename,[status(thm)],[f_180_1]) ).

fof(f_180_3,plain,
    ! [U_504,U_503] :
      ( hBOOL(hAPP_P824029447r_bool(U_503,U_504))
      | ? [U_501,U_500,U_499] : ~ hBOOL(hAPP_P824029447r_bool(U_503,hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,sK84(U_504,U_503)),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_501),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_500),U_499))))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK84]),skolemize(U_502,sK84(U_504,U_503))],[f_180_2]) ).

fof(f_180_4,plain,
    ! [U_504,U_503] :
      ( hBOOL(hAPP_P824029447r_bool(U_503,U_504))
      | ? [U_500,U_499] : ~ hBOOL(hAPP_P824029447r_bool(U_503,hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,sK84(U_504,U_503)),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,sK85(U_504,U_503)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_500),U_499))))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK85]),skolemize(U_501,sK85(U_504,U_503))],[f_180_3]) ).

fof(f_180_5,plain,
    ! [U_504,U_503] :
      ( hBOOL(hAPP_P824029447r_bool(U_503,U_504))
      | ? [U_499] : ~ hBOOL(hAPP_P824029447r_bool(U_503,hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,sK84(U_504,U_503)),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,sK85(U_504,U_503)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,sK86(U_504,U_503)),U_499))))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK86]),skolemize(U_500,sK86(U_504,U_503))],[f_180_4]) ).

fof(f_180_6,plain,
    ! [U_504,U_503] :
      ( hBOOL(hAPP_P824029447r_bool(U_503,U_504))
      | ~ hBOOL(hAPP_P824029447r_bool(U_503,hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,sK84(U_504,U_503)),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,sK85(U_504,U_503)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,sK86(U_504,U_503)),sK87(U_504,U_503)))))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK87]),skolemize(U_499,sK87(U_504,U_503))],[f_180_5]) ).

cnf(f_180_7,plain,
    ( hBOOL(hAPP_P824029447r_bool(U_503,U_504))
    | ~ hBOOL(hAPP_P824029447r_bool(U_503,hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,sK84(U_504,U_503)),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,sK85(U_504,U_503)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,sK86(U_504,U_503)),sK87(U_504,U_503)))))) ),
    inference(clausify,[status(thm)],[f_180_6]) ).

fof(f_181_1,plain,
    ! [X_2,Pa] :
      ( hBOOL(hAPP_P1240100515r_bool(Pa,X_2))
      | ? [A_1,B_2,C_4,D_2] : ~ hBOOL(hAPP_P1240100515r_bool(Pa,hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,A_1),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,B_2),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,C_4),D_2))))) ),
    inference(fof_nnf,[status(thm)],[fact_39_prod__induct4]) ).

fof(f_181_2,plain,
    ! [U_510,U_509] :
      ( hBOOL(hAPP_P1240100515r_bool(U_509,U_510))
      | ? [U_508,U_507,U_506,U_505] : ~ hBOOL(hAPP_P1240100515r_bool(U_509,hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,U_508),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_507),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_506),U_505))))) ),
    inference(variable_rename,[status(thm)],[f_181_1]) ).

fof(f_181_3,plain,
    ! [U_510,U_509] :
      ( hBOOL(hAPP_P1240100515r_bool(U_509,U_510))
      | ? [U_507,U_506,U_505] : ~ hBOOL(hAPP_P1240100515r_bool(U_509,hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,sK88(U_510,U_509)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_507),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_506),U_505))))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK88]),skolemize(U_508,sK88(U_510,U_509))],[f_181_2]) ).

fof(f_181_4,plain,
    ! [U_510,U_509] :
      ( hBOOL(hAPP_P1240100515r_bool(U_509,U_510))
      | ? [U_506,U_505] : ~ hBOOL(hAPP_P1240100515r_bool(U_509,hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,sK88(U_510,U_509)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,sK89(U_510,U_509)),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_506),U_505))))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK89]),skolemize(U_507,sK89(U_510,U_509))],[f_181_3]) ).

fof(f_181_5,plain,
    ! [U_510,U_509] :
      ( hBOOL(hAPP_P1240100515r_bool(U_509,U_510))
      | ? [U_505] : ~ hBOOL(hAPP_P1240100515r_bool(U_509,hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,sK88(U_510,U_509)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,sK89(U_510,U_509)),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,sK90(U_510,U_509)),U_505))))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK90]),skolemize(U_506,sK90(U_510,U_509))],[f_181_4]) ).

fof(f_181_6,plain,
    ! [U_510,U_509] :
      ( hBOOL(hAPP_P1240100515r_bool(U_509,U_510))
      | ~ hBOOL(hAPP_P1240100515r_bool(U_509,hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,sK88(U_510,U_509)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,sK89(U_510,U_509)),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,sK90(U_510,U_509)),sK91(U_510,U_509)))))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK91]),skolemize(U_505,sK91(U_510,U_509))],[f_181_5]) ).

cnf(f_181_7,plain,
    ( hBOOL(hAPP_P1240100515r_bool(U_509,U_510))
    | ~ hBOOL(hAPP_P1240100515r_bool(U_509,hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,sK88(U_510,U_509)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,sK89(U_510,U_509)),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,sK90(U_510,U_509)),sK91(U_510,U_509)))))) ),
    inference(clausify,[status(thm)],[f_181_6]) ).

fof(f_182_1,plain,
    ! [X_2,Pa] :
      ( hBOOL(hAPP_P975284999r_bool(Pa,X_2))
      | ? [A_1,B_2,C_4,D_2] : ~ hBOOL(hAPP_P975284999r_bool(Pa,hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,A_1),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,B_2),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,C_4),D_2))))) ),
    inference(fof_nnf,[status(thm)],[fact_40_prod__induct4]) ).

fof(f_182_2,plain,
    ! [U_516,U_515] :
      ( hBOOL(hAPP_P975284999r_bool(U_515,U_516))
      | ? [U_514,U_513,U_512,U_511] : ~ hBOOL(hAPP_P975284999r_bool(U_515,hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,U_514),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_513),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_512),U_511))))) ),
    inference(variable_rename,[status(thm)],[f_182_1]) ).

fof(f_182_3,plain,
    ! [U_516,U_515] :
      ( hBOOL(hAPP_P975284999r_bool(U_515,U_516))
      | ? [U_513,U_512,U_511] : ~ hBOOL(hAPP_P975284999r_bool(U_515,hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,sK92(U_516,U_515)),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_513),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_512),U_511))))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK92]),skolemize(U_514,sK92(U_516,U_515))],[f_182_2]) ).

fof(f_182_4,plain,
    ! [U_516,U_515] :
      ( hBOOL(hAPP_P975284999r_bool(U_515,U_516))
      | ? [U_512,U_511] : ~ hBOOL(hAPP_P975284999r_bool(U_515,hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,sK92(U_516,U_515)),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,sK93(U_516,U_515)),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_512),U_511))))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK93]),skolemize(U_513,sK93(U_516,U_515))],[f_182_3]) ).

fof(f_182_5,plain,
    ! [U_516,U_515] :
      ( hBOOL(hAPP_P975284999r_bool(U_515,U_516))
      | ? [U_511] : ~ hBOOL(hAPP_P975284999r_bool(U_515,hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,sK92(U_516,U_515)),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,sK93(U_516,U_515)),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,sK94(U_516,U_515)),U_511))))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK94]),skolemize(U_512,sK94(U_516,U_515))],[f_182_4]) ).

fof(f_182_6,plain,
    ! [U_516,U_515] :
      ( hBOOL(hAPP_P975284999r_bool(U_515,U_516))
      | ~ hBOOL(hAPP_P975284999r_bool(U_515,hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,sK92(U_516,U_515)),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,sK93(U_516,U_515)),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,sK94(U_516,U_515)),sK95(U_516,U_515)))))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK95]),skolemize(U_511,sK95(U_516,U_515))],[f_182_5]) ).

cnf(f_182_7,plain,
    ( hBOOL(hAPP_P975284999r_bool(U_515,U_516))
    | ~ hBOOL(hAPP_P975284999r_bool(U_515,hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,sK92(U_516,U_515)),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,sK93(U_516,U_515)),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,sK94(U_516,U_515)),sK95(U_516,U_515)))))) ),
    inference(clausify,[status(thm)],[f_182_6]) ).

fof(f_183_1,plain,
    ! [X_2,Pa] :
      ( hBOOL(hAPP_P929449287r_bool(Pa,X_2))
      | ? [A_1,B_2,C_4,D_2] : ~ hBOOL(hAPP_P929449287r_bool(Pa,hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,A_1),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,B_2),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,C_4),D_2))))) ),
    inference(fof_nnf,[status(thm)],[fact_41_prod__induct4]) ).

fof(f_183_2,plain,
    ! [U_522,U_521] :
      ( hBOOL(hAPP_P929449287r_bool(U_521,U_522))
      | ? [U_520,U_519,U_518,U_517] : ~ hBOOL(hAPP_P929449287r_bool(U_521,hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,U_520),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_519),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_518),U_517))))) ),
    inference(variable_rename,[status(thm)],[f_183_1]) ).

fof(f_183_3,plain,
    ! [U_522,U_521] :
      ( hBOOL(hAPP_P929449287r_bool(U_521,U_522))
      | ? [U_519,U_518,U_517] : ~ hBOOL(hAPP_P929449287r_bool(U_521,hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,sK96(U_522,U_521)),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_519),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_518),U_517))))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK96]),skolemize(U_520,sK96(U_522,U_521))],[f_183_2]) ).

fof(f_183_4,plain,
    ! [U_522,U_521] :
      ( hBOOL(hAPP_P929449287r_bool(U_521,U_522))
      | ? [U_518,U_517] : ~ hBOOL(hAPP_P929449287r_bool(U_521,hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,sK96(U_522,U_521)),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,sK97(U_522,U_521)),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_518),U_517))))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK97]),skolemize(U_519,sK97(U_522,U_521))],[f_183_3]) ).

fof(f_183_5,plain,
    ! [U_522,U_521] :
      ( hBOOL(hAPP_P929449287r_bool(U_521,U_522))
      | ? [U_517] : ~ hBOOL(hAPP_P929449287r_bool(U_521,hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,sK96(U_522,U_521)),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,sK97(U_522,U_521)),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,sK98(U_522,U_521)),U_517))))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK98]),skolemize(U_518,sK98(U_522,U_521))],[f_183_4]) ).

fof(f_183_6,plain,
    ! [U_522,U_521] :
      ( hBOOL(hAPP_P929449287r_bool(U_521,U_522))
      | ~ hBOOL(hAPP_P929449287r_bool(U_521,hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,sK96(U_522,U_521)),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,sK97(U_522,U_521)),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,sK98(U_522,U_521)),sK99(U_522,U_521)))))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK99]),skolemize(U_517,sK99(U_522,U_521))],[f_183_5]) ).

cnf(f_183_7,plain,
    ( hBOOL(hAPP_P929449287r_bool(U_521,U_522))
    | ~ hBOOL(hAPP_P929449287r_bool(U_521,hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,sK96(U_522,U_521)),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,sK97(U_522,U_521)),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,sK98(U_522,U_521)),sK99(U_522,U_521)))))) ),
    inference(clausify,[status(thm)],[f_183_6]) ).

fof(f_184_1,plain,
    ! [Y_6] :
    ? [A_1,B_2,C_4,D_2] : Y_6 = hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,A_1),hAPP_P976433298t_char(hAPP_l2048923787t_char(produc2016959032t_char,B_2),hAPP_P1661798543t_char(hAPP_t1369077401t_char(produc1545444669t_char,C_4),D_2))),
    inference(fof_nnf,[status(thm)],[fact_42_prod__cases4]) ).

fof(f_184_2,plain,
    ! [U_527] :
    ? [U_526,U_525,U_524,U_523] : U_527 = hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,U_526),hAPP_P976433298t_char(hAPP_l2048923787t_char(produc2016959032t_char,U_525),hAPP_P1661798543t_char(hAPP_t1369077401t_char(produc1545444669t_char,U_524),U_523))),
    inference(variable_rename,[status(thm)],[f_184_1]) ).

fof(f_184_3,plain,
    ! [U_527] :
    ? [U_525,U_524,U_523] : U_527 = hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,sK100(U_527)),hAPP_P976433298t_char(hAPP_l2048923787t_char(produc2016959032t_char,U_525),hAPP_P1661798543t_char(hAPP_t1369077401t_char(produc1545444669t_char,U_524),U_523))),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK100]),skolemize(U_526,sK100(U_527))],[f_184_2]) ).

fof(f_184_4,plain,
    ! [U_527] :
    ? [U_524,U_523] : U_527 = hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,sK100(U_527)),hAPP_P976433298t_char(hAPP_l2048923787t_char(produc2016959032t_char,sK101(U_527)),hAPP_P1661798543t_char(hAPP_t1369077401t_char(produc1545444669t_char,U_524),U_523))),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK101]),skolemize(U_525,sK101(U_527))],[f_184_3]) ).

fof(f_184_5,plain,
    ! [U_527] :
    ? [U_523] : U_527 = hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,sK100(U_527)),hAPP_P976433298t_char(hAPP_l2048923787t_char(produc2016959032t_char,sK101(U_527)),hAPP_P1661798543t_char(hAPP_t1369077401t_char(produc1545444669t_char,sK102(U_527)),U_523))),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK102]),skolemize(U_524,sK102(U_527))],[f_184_4]) ).

fof(f_184_6,plain,
    ! [U_527] : U_527 = hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,sK100(U_527)),hAPP_P976433298t_char(hAPP_l2048923787t_char(produc2016959032t_char,sK101(U_527)),hAPP_P1661798543t_char(hAPP_t1369077401t_char(produc1545444669t_char,sK102(U_527)),sK103(U_527)))),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK103]),skolemize(U_523,sK103(U_527))],[f_184_5]) ).

cnf(f_184_7,plain,
    U_527 = hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,sK100(U_527)),hAPP_P976433298t_char(hAPP_l2048923787t_char(produc2016959032t_char,sK101(U_527)),hAPP_P1661798543t_char(hAPP_t1369077401t_char(produc1545444669t_char,sK102(U_527)),sK103(U_527)))),
    inference(clausify,[status(thm)],[f_184_6]) ).

fof(f_185_1,plain,
    ! [Y_2] :
    ? [A_1,B_2,C_4,D_2] : Y_2 = hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_1),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,B_2),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,C_4),D_2))),
    inference(fof_nnf,[status(thm)],[fact_43_prod__cases4]) ).

fof(f_185_2,plain,
    ! [U_532] :
    ? [U_531,U_530,U_529,U_528] : U_532 = hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_531),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_530),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_529),U_528))),
    inference(variable_rename,[status(thm)],[f_185_1]) ).

fof(f_185_3,plain,
    ! [U_532] :
    ? [U_530,U_529,U_528] : U_532 = hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK104(U_532)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_530),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_529),U_528))),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK104]),skolemize(U_531,sK104(U_532))],[f_185_2]) ).

fof(f_185_4,plain,
    ! [U_532] :
    ? [U_529,U_528] : U_532 = hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK104(U_532)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK105(U_532)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_529),U_528))),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK105]),skolemize(U_530,sK105(U_532))],[f_185_3]) ).

fof(f_185_5,plain,
    ! [U_532] :
    ? [U_528] : U_532 = hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK104(U_532)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK105(U_532)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK106(U_532)),U_528))),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK106]),skolemize(U_529,sK106(U_532))],[f_185_4]) ).

fof(f_185_6,plain,
    ! [U_532] : U_532 = hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK104(U_532)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK105(U_532)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK106(U_532)),sK107(U_532)))),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK107]),skolemize(U_528,sK107(U_532))],[f_185_5]) ).

cnf(f_185_7,plain,
    U_532 = hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK104(U_532)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK105(U_532)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK106(U_532)),sK107(U_532)))),
    inference(clausify,[status(thm)],[f_185_6]) ).

fof(f_186_1,plain,
    ! [Y_2] :
    ? [A_1,B_2,C_4,D_2] : Y_2 = hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A_1),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,B_2),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,C_4),D_2))),
    inference(fof_nnf,[status(thm)],[fact_44_prod__cases4]) ).

fof(f_186_2,plain,
    ! [U_537] :
    ? [U_536,U_535,U_534,U_533] : U_537 = hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_536),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_535),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_534),U_533))),
    inference(variable_rename,[status(thm)],[f_186_1]) ).

fof(f_186_3,plain,
    ! [U_537] :
    ? [U_535,U_534,U_533] : U_537 = hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,sK108(U_537)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_535),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_534),U_533))),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK108]),skolemize(U_536,sK108(U_537))],[f_186_2]) ).

fof(f_186_4,plain,
    ! [U_537] :
    ? [U_534,U_533] : U_537 = hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,sK108(U_537)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,sK109(U_537)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_534),U_533))),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK109]),skolemize(U_535,sK109(U_537))],[f_186_3]) ).

fof(f_186_5,plain,
    ! [U_537] :
    ? [U_533] : U_537 = hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,sK108(U_537)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,sK109(U_537)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK110(U_537)),U_533))),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK110]),skolemize(U_534,sK110(U_537))],[f_186_4]) ).

fof(f_186_6,plain,
    ! [U_537] : U_537 = hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,sK108(U_537)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,sK109(U_537)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK110(U_537)),sK111(U_537)))),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK111]),skolemize(U_533,sK111(U_537))],[f_186_5]) ).

cnf(f_186_7,plain,
    U_537 = hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,sK108(U_537)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,sK109(U_537)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK110(U_537)),sK111(U_537)))),
    inference(clausify,[status(thm)],[f_186_6]) ).

fof(f_187_1,plain,
    ! [Y_6] :
    ? [A_1,B_2,C_4,D_2] : Y_6 = hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,A_1),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,B_2),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,C_4),D_2))),
    inference(fof_nnf,[status(thm)],[fact_45_prod__cases4]) ).

fof(f_187_2,plain,
    ! [U_542] :
    ? [U_541,U_540,U_539,U_538] : U_542 = hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_541),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_540),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_539),U_538))),
    inference(variable_rename,[status(thm)],[f_187_1]) ).

fof(f_187_3,plain,
    ! [U_542] :
    ? [U_540,U_539,U_538] : U_542 = hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,sK112(U_542)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_540),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_539),U_538))),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK112]),skolemize(U_541,sK112(U_542))],[f_187_2]) ).

fof(f_187_4,plain,
    ! [U_542] :
    ? [U_539,U_538] : U_542 = hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,sK112(U_542)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,sK113(U_542)),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_539),U_538))),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK113]),skolemize(U_540,sK113(U_542))],[f_187_3]) ).

fof(f_187_5,plain,
    ! [U_542] :
    ? [U_538] : U_542 = hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,sK112(U_542)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,sK113(U_542)),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,sK114(U_542)),U_538))),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK114]),skolemize(U_539,sK114(U_542))],[f_187_4]) ).

fof(f_187_6,plain,
    ! [U_542] : U_542 = hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,sK112(U_542)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,sK113(U_542)),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,sK114(U_542)),sK115(U_542)))),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK115]),skolemize(U_538,sK115(U_542))],[f_187_5]) ).

cnf(f_187_7,plain,
    U_542 = hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,sK112(U_542)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,sK113(U_542)),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,sK114(U_542)),sK115(U_542)))),
    inference(clausify,[status(thm)],[f_187_6]) ).

fof(f_188_1,plain,
    ! [Y_6] :
    ? [A_1,B_2,C_4,D_2] : Y_6 = hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,A_1),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,B_2),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,C_4),D_2))),
    inference(fof_nnf,[status(thm)],[fact_46_prod__cases4]) ).

fof(f_188_2,plain,
    ! [U_547] :
    ? [U_546,U_545,U_544,U_543] : U_547 = hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_546),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_545),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_544),U_543))),
    inference(variable_rename,[status(thm)],[f_188_1]) ).

fof(f_188_3,plain,
    ! [U_547] :
    ? [U_545,U_544,U_543] : U_547 = hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,sK116(U_547)),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_545),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_544),U_543))),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK116]),skolemize(U_546,sK116(U_547))],[f_188_2]) ).

fof(f_188_4,plain,
    ! [U_547] :
    ? [U_544,U_543] : U_547 = hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,sK116(U_547)),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,sK117(U_547)),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_544),U_543))),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK117]),skolemize(U_545,sK117(U_547))],[f_188_3]) ).

fof(f_188_5,plain,
    ! [U_547] :
    ? [U_543] : U_547 = hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,sK116(U_547)),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,sK117(U_547)),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,sK118(U_547)),U_543))),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK118]),skolemize(U_544,sK118(U_547))],[f_188_4]) ).

fof(f_188_6,plain,
    ! [U_547] : U_547 = hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,sK116(U_547)),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,sK117(U_547)),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,sK118(U_547)),sK119(U_547)))),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK119]),skolemize(U_543,sK119(U_547))],[f_188_5]) ).

cnf(f_188_7,plain,
    U_547 = hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,sK116(U_547)),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,sK117(U_547)),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,sK118(U_547)),sK119(U_547)))),
    inference(clausify,[status(thm)],[f_188_6]) ).

fof(f_189_1,plain,
    ! [Y_2] :
    ? [A_1,B_2,C_4,D_2] : Y_2 = hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,A_1),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,B_2),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,C_4),D_2))),
    inference(fof_nnf,[status(thm)],[fact_47_prod__cases4]) ).

fof(f_189_2,plain,
    ! [U_552] :
    ? [U_551,U_550,U_549,U_548] : U_552 = hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,U_551),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_550),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_549),U_548))),
    inference(variable_rename,[status(thm)],[f_189_1]) ).

fof(f_189_3,plain,
    ! [U_552] :
    ? [U_550,U_549,U_548] : U_552 = hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,sK120(U_552)),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_550),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_549),U_548))),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK120]),skolemize(U_551,sK120(U_552))],[f_189_2]) ).

fof(f_189_4,plain,
    ! [U_552] :
    ? [U_549,U_548] : U_552 = hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,sK120(U_552)),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK121(U_552)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_549),U_548))),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK121]),skolemize(U_550,sK121(U_552))],[f_189_3]) ).

fof(f_189_5,plain,
    ! [U_552] :
    ? [U_548] : U_552 = hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,sK120(U_552)),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK121(U_552)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK122(U_552)),U_548))),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK122]),skolemize(U_549,sK122(U_552))],[f_189_4]) ).

fof(f_189_6,plain,
    ! [U_552] : U_552 = hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,sK120(U_552)),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK121(U_552)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK122(U_552)),sK123(U_552)))),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK123]),skolemize(U_548,sK123(U_552))],[f_189_5]) ).

cnf(f_189_7,plain,
    U_552 = hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,sK120(U_552)),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK121(U_552)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK122(U_552)),sK123(U_552)))),
    inference(clausify,[status(thm)],[f_189_6]) ).

fof(f_190_1,plain,
    ! [Y_6] :
    ? [A_1,B_2,C_4,D_2] :
      ( Y_6 = hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,A_1),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,B_2),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,C_4),D_2)))
      & is_bop(B_2) ),
    inference(fof_nnf,[status(thm)],[fact_48_prod__cases4]) ).

fof(f_190_2,plain,
    ! [U_557] :
    ? [U_556,U_555,U_554,U_553] :
      ( U_557 = hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,U_556),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_555),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_554),U_553)))
      & is_bop(U_555) ),
    inference(variable_rename,[status(thm)],[f_190_1]) ).

fof(f_190_3,plain,
    ! [U_557] :
    ? [U_556,U_555] :
      ( ? [U_554,U_553] : U_557 = hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,U_556),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_555),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_554),U_553)))
      & is_bop(U_555) ),
    inference(miniscope,[status(thm)],[f_190_2]) ).

fof(f_190_4,plain,
    ! [U_557] :
    ? [U_555] :
      ( ? [U_554,U_553] : U_557 = hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,sK124(U_557)),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_555),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_554),U_553)))
      & is_bop(U_555) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK124]),skolemize(U_556,sK124(U_557))],[f_190_3]) ).

fof(f_190_5,plain,
    ! [U_557] :
      ( ? [U_554,U_553] : U_557 = hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,sK124(U_557)),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,sK125(U_557)),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_554),U_553)))
      & is_bop(sK125(U_557)) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK125]),skolemize(U_555,sK125(U_557))],[f_190_4]) ).

fof(f_190_6,plain,
    ! [U_557] :
      ( ? [U_553] : U_557 = hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,sK124(U_557)),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,sK125(U_557)),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,sK126(U_557)),U_553)))
      & is_bop(sK125(U_557)) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK126]),skolemize(U_554,sK126(U_557))],[f_190_5]) ).

fof(f_190_7,plain,
    ! [U_557] :
      ( U_557 = hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,sK124(U_557)),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,sK125(U_557)),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,sK126(U_557)),sK127(U_557))))
      & is_bop(sK125(U_557)) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK127]),skolemize(U_553,sK127(U_557))],[f_190_6]) ).

cnf(f_190_8,plain,
    is_bop(sK125(U_557)),
    inference(clausify,[status(thm)],[f_190_7]) ).

cnf(f_190_9,plain,
    U_557 = hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,sK124(U_557)),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,sK125(U_557)),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,sK126(U_557)),sK127(U_557)))),
    inference(clausify,[status(thm)],[f_190_7]) ).

fof(f_191_1,plain,
    ! [Y_2] :
    ? [A_1,B_2,C_4,D_2] : Y_2 = hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,A_1),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,B_2),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,C_4),D_2))),
    inference(fof_nnf,[status(thm)],[fact_49_prod__cases4]) ).

fof(f_191_2,plain,
    ! [U_562] :
    ? [U_561,U_560,U_559,U_558] : U_562 = hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,U_561),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_560),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_559),U_558))),
    inference(variable_rename,[status(thm)],[f_191_1]) ).

fof(f_191_3,plain,
    ! [U_562] :
    ? [U_560,U_559,U_558] : U_562 = hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,sK128(U_562)),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_560),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_559),U_558))),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK128]),skolemize(U_561,sK128(U_562))],[f_191_2]) ).

fof(f_191_4,plain,
    ! [U_562] :
    ? [U_559,U_558] : U_562 = hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,sK128(U_562)),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,sK129(U_562)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_559),U_558))),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK129]),skolemize(U_560,sK129(U_562))],[f_191_3]) ).

fof(f_191_5,plain,
    ! [U_562] :
    ? [U_558] : U_562 = hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,sK128(U_562)),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,sK129(U_562)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,sK130(U_562)),U_558))),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK130]),skolemize(U_559,sK130(U_562))],[f_191_4]) ).

fof(f_191_6,plain,
    ! [U_562] : U_562 = hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,sK128(U_562)),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,sK129(U_562)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,sK130(U_562)),sK131(U_562)))),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK131]),skolemize(U_558,sK131(U_562))],[f_191_5]) ).

cnf(f_191_7,plain,
    U_562 = hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,sK128(U_562)),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,sK129(U_562)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,sK130(U_562)),sK131(U_562)))),
    inference(clausify,[status(thm)],[f_191_6]) ).

fof(f_192_1,plain,
    ! [Y_6] :
    ? [A_1,B_2,C_4,D_2] : Y_6 = hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,A_1),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,B_2),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,C_4),D_2))),
    inference(fof_nnf,[status(thm)],[fact_50_prod__cases4]) ).

fof(f_192_2,plain,
    ! [U_567] :
    ? [U_566,U_565,U_564,U_563] : U_567 = hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,U_566),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_565),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_564),U_563))),
    inference(variable_rename,[status(thm)],[f_192_1]) ).

fof(f_192_3,plain,
    ! [U_567] :
    ? [U_565,U_564,U_563] : U_567 = hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,sK132(U_567)),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_565),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_564),U_563))),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK132]),skolemize(U_566,sK132(U_567))],[f_192_2]) ).

fof(f_192_4,plain,
    ! [U_567] :
    ? [U_564,U_563] : U_567 = hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,sK132(U_567)),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,sK133(U_567)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_564),U_563))),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK133]),skolemize(U_565,sK133(U_567))],[f_192_3]) ).

fof(f_192_5,plain,
    ! [U_567] :
    ? [U_563] : U_567 = hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,sK132(U_567)),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,sK133(U_567)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,sK134(U_567)),U_563))),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK134]),skolemize(U_564,sK134(U_567))],[f_192_4]) ).

fof(f_192_6,plain,
    ! [U_567] : U_567 = hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,sK132(U_567)),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,sK133(U_567)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,sK134(U_567)),sK135(U_567)))),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK135]),skolemize(U_563,sK135(U_567))],[f_192_5]) ).

cnf(f_192_7,plain,
    U_567 = hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,sK132(U_567)),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,sK133(U_567)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,sK134(U_567)),sK135(U_567)))),
    inference(clausify,[status(thm)],[f_192_6]) ).

fof(f_193_1,plain,
    ! [Y_6] :
    ? [A_1,B_2,C_4,D_2] : Y_6 = hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,A_1),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,B_2),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,C_4),D_2))),
    inference(fof_nnf,[status(thm)],[fact_51_prod__cases4]) ).

fof(f_193_2,plain,
    ! [U_572] :
    ? [U_571,U_570,U_569,U_568] : U_572 = hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,U_571),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_570),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_569),U_568))),
    inference(variable_rename,[status(thm)],[f_193_1]) ).

fof(f_193_3,plain,
    ! [U_572] :
    ? [U_570,U_569,U_568] : U_572 = hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,sK136(U_572)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_570),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_569),U_568))),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK136]),skolemize(U_571,sK136(U_572))],[f_193_2]) ).

fof(f_193_4,plain,
    ! [U_572] :
    ? [U_569,U_568] : U_572 = hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,sK136(U_572)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,sK137(U_572)),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_569),U_568))),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK137]),skolemize(U_570,sK137(U_572))],[f_193_3]) ).

fof(f_193_5,plain,
    ! [U_572] :
    ? [U_568] : U_572 = hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,sK136(U_572)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,sK137(U_572)),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,sK138(U_572)),U_568))),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK138]),skolemize(U_569,sK138(U_572))],[f_193_4]) ).

fof(f_193_6,plain,
    ! [U_572] : U_572 = hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,sK136(U_572)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,sK137(U_572)),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,sK138(U_572)),sK139(U_572)))),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK139]),skolemize(U_568,sK139(U_572))],[f_193_5]) ).

cnf(f_193_7,plain,
    U_572 = hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,sK136(U_572)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,sK137(U_572)),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,sK138(U_572)),sK139(U_572)))),
    inference(clausify,[status(thm)],[f_193_6]) ).

fof(f_194_1,plain,
    ! [Y_6] :
    ? [A_1,B_2,C_4,D_2] : Y_6 = hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,A_1),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,B_2),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,C_4),D_2))),
    inference(fof_nnf,[status(thm)],[fact_52_prod__cases4]) ).

fof(f_194_2,plain,
    ! [U_577] :
    ? [U_576,U_575,U_574,U_573] : U_577 = hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,U_576),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_575),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_574),U_573))),
    inference(variable_rename,[status(thm)],[f_194_1]) ).

fof(f_194_3,plain,
    ! [U_577] :
    ? [U_575,U_574,U_573] : U_577 = hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,sK140(U_577)),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_575),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_574),U_573))),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK140]),skolemize(U_576,sK140(U_577))],[f_194_2]) ).

fof(f_194_4,plain,
    ! [U_577] :
    ? [U_574,U_573] : U_577 = hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,sK140(U_577)),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,sK141(U_577)),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_574),U_573))),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK141]),skolemize(U_575,sK141(U_577))],[f_194_3]) ).

fof(f_194_5,plain,
    ! [U_577] :
    ? [U_573] : U_577 = hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,sK140(U_577)),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,sK141(U_577)),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,sK142(U_577)),U_573))),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK142]),skolemize(U_574,sK142(U_577))],[f_194_4]) ).

fof(f_194_6,plain,
    ! [U_577] : U_577 = hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,sK140(U_577)),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,sK141(U_577)),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,sK142(U_577)),sK143(U_577)))),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK143]),skolemize(U_573,sK143(U_577))],[f_194_5]) ).

cnf(f_194_7,plain,
    U_577 = hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,sK140(U_577)),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,sK141(U_577)),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,sK142(U_577)),sK143(U_577)))),
    inference(clausify,[status(thm)],[f_194_6]) ).

fof(f_195_1,plain,
    ! [Y_6] :
    ? [A_1,B_2,C_4,D_2] : Y_6 = hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,A_1),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,B_2),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,C_4),D_2))),
    inference(fof_nnf,[status(thm)],[fact_53_prod__cases4]) ).

fof(f_195_2,plain,
    ! [U_582] :
    ? [U_581,U_580,U_579,U_578] : U_582 = hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,U_581),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_580),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_579),U_578))),
    inference(variable_rename,[status(thm)],[f_195_1]) ).

fof(f_195_3,plain,
    ! [U_582] :
    ? [U_580,U_579,U_578] : U_582 = hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,sK144(U_582)),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_580),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_579),U_578))),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK144]),skolemize(U_581,sK144(U_582))],[f_195_2]) ).

fof(f_195_4,plain,
    ! [U_582] :
    ? [U_579,U_578] : U_582 = hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,sK144(U_582)),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,sK145(U_582)),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_579),U_578))),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK145]),skolemize(U_580,sK145(U_582))],[f_195_3]) ).

fof(f_195_5,plain,
    ! [U_582] :
    ? [U_578] : U_582 = hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,sK144(U_582)),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,sK145(U_582)),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,sK146(U_582)),U_578))),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK146]),skolemize(U_579,sK146(U_582))],[f_195_4]) ).

fof(f_195_6,plain,
    ! [U_582] : U_582 = hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,sK144(U_582)),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,sK145(U_582)),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,sK146(U_582)),sK147(U_582)))),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK147]),skolemize(U_578,sK147(U_582))],[f_195_5]) ).

cnf(f_195_7,plain,
    U_582 = hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,sK144(U_582)),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,sK145(U_582)),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,sK146(U_582)),sK147(U_582)))),
    inference(clausify,[status(thm)],[f_195_6]) ).

fof(f_196_1,plain,
    hBOOL(hAPP_P159683425l_bool(typeSa1700205512_sconf(p,e),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,ha),la))),
    inference(fof_nnf,[status(thm)],[fact_54_InitBlockRed_I4_J]) ).

cnf(f_196_2,plain,
    hBOOL(hAPP_P159683425l_bool(typeSa1700205512_sconf(p,e),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,ha),la))),
    inference(clausify,[status(thm)],[f_196_1]) ).

fof(f_197_1,plain,
    ! [A_19,B_5,A_18,B_4] :
      ( ( B_5 = B_4
        & A_19 = A_18 )
      | hAPP_t1875766236har_ty(hAPP_l1948972481har_ty(produc251930284har_ty,A_19),B_5) != hAPP_t1875766236har_ty(hAPP_l1948972481har_ty(produc251930284har_ty,A_18),B_4) ),
    inference(fof_nnf,[status(thm)],[fact_55_Pair__inject]) ).

fof(f_197_2,plain,
    ! [U_586,U_585,U_584,U_583] :
      ( ( U_585 = U_583
        & U_586 = U_584 )
      | hAPP_t1875766236har_ty(hAPP_l1948972481har_ty(produc251930284har_ty,U_586),U_585) != hAPP_t1875766236har_ty(hAPP_l1948972481har_ty(produc251930284har_ty,U_584),U_583) ),
    inference(variable_rename,[status(thm)],[f_197_1]) ).

cnf(f_197_3,plain,
    ( U_586 = U_584
    | hAPP_t1875766236har_ty(hAPP_l1948972481har_ty(produc251930284har_ty,U_586),U_585) != hAPP_t1875766236har_ty(hAPP_l1948972481har_ty(produc251930284har_ty,U_584),U_583) ),
    inference(clausify,[status(thm)],[f_197_2]) ).

cnf(f_197_4,plain,
    ( U_585 = U_583
    | hAPP_t1875766236har_ty(hAPP_l1948972481har_ty(produc251930284har_ty,U_586),U_585) != hAPP_t1875766236har_ty(hAPP_l1948972481har_ty(produc251930284har_ty,U_584),U_583) ),
    inference(clausify,[status(thm)],[f_197_2]) ).

fof(f_198_1,plain,
    ! [A_19,B_5,A_18,B_4] :
      ( ( B_5 = B_4
        & A_19 = A_18 )
      | hAPP_t708040077har_ty(hAPP_P827589667har_ty(produc1265154397har_ty,A_19),B_5) != hAPP_t708040077har_ty(hAPP_P827589667har_ty(produc1265154397har_ty,A_18),B_4) ),
    inference(fof_nnf,[status(thm)],[fact_56_Pair__inject]) ).

fof(f_198_2,plain,
    ! [U_590,U_589,U_588,U_587] :
      ( ( U_589 = U_587
        & U_590 = U_588 )
      | hAPP_t708040077har_ty(hAPP_P827589667har_ty(produc1265154397har_ty,U_590),U_589) != hAPP_t708040077har_ty(hAPP_P827589667har_ty(produc1265154397har_ty,U_588),U_587) ),
    inference(variable_rename,[status(thm)],[f_198_1]) ).

cnf(f_198_3,plain,
    ( U_590 = U_588
    | hAPP_t708040077har_ty(hAPP_P827589667har_ty(produc1265154397har_ty,U_590),U_589) != hAPP_t708040077har_ty(hAPP_P827589667har_ty(produc1265154397har_ty,U_588),U_587) ),
    inference(clausify,[status(thm)],[f_198_2]) ).

cnf(f_198_4,plain,
    ( U_589 = U_587
    | hAPP_t708040077har_ty(hAPP_P827589667har_ty(produc1265154397har_ty,U_590),U_589) != hAPP_t708040077har_ty(hAPP_P827589667har_ty(produc1265154397har_ty,U_588),U_587) ),
    inference(clausify,[status(thm)],[f_198_2]) ).

fof(f_199_1,plain,
    ! [A_19,B_5,A_18,B_4] :
      ( ( B_5 = B_4
        & A_19 = A_18 )
      | hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,A_19),B_5) != hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,A_18),B_4) ),
    inference(fof_nnf,[status(thm)],[fact_57_Pair__inject]) ).

fof(f_199_2,plain,
    ! [U_594,U_593,U_592,U_591] :
      ( ( U_593 = U_591
        & U_594 = U_592 )
      | hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,U_594),U_593) != hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,U_592),U_591) ),
    inference(variable_rename,[status(thm)],[f_199_1]) ).

cnf(f_199_3,plain,
    ( U_594 = U_592
    | hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,U_594),U_593) != hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,U_592),U_591) ),
    inference(clausify,[status(thm)],[f_199_2]) ).

cnf(f_199_4,plain,
    ( U_593 = U_591
    | hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,U_594),U_593) != hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,U_592),U_591) ),
    inference(clausify,[status(thm)],[f_199_2]) ).

fof(f_200_1,plain,
    ! [A_19,B_5,A_18,B_4] :
      ( ( B_5 = B_4
        & A_19 = A_18 )
      | hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,A_19),B_5) != hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,A_18),B_4) ),
    inference(fof_nnf,[status(thm)],[fact_58_Pair__inject]) ).

fof(f_200_2,plain,
    ! [U_598,U_597,U_596,U_595] :
      ( ( U_597 = U_595
        & U_598 = U_596 )
      | hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,U_598),U_597) != hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,U_596),U_595) ),
    inference(variable_rename,[status(thm)],[f_200_1]) ).

cnf(f_200_3,plain,
    ( U_598 = U_596
    | hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,U_598),U_597) != hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,U_596),U_595) ),
    inference(clausify,[status(thm)],[f_200_2]) ).

cnf(f_200_4,plain,
    ( U_597 = U_595
    | hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,U_598),U_597) != hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,U_596),U_595) ),
    inference(clausify,[status(thm)],[f_200_2]) ).

fof(f_201_1,plain,
    ! [A_19,B_5,A_18,B_4] :
      ( ( B_5 = B_4
        & A_19 = A_18 )
      | hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,A_19),B_5) != hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,A_18),B_4) ),
    inference(fof_nnf,[status(thm)],[fact_59_Pair__inject]) ).

fof(f_201_2,plain,
    ! [U_602,U_601,U_600,U_599] :
      ( ( U_601 = U_599
        & U_602 = U_600 )
      | hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,U_602),U_601) != hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,U_600),U_599) ),
    inference(variable_rename,[status(thm)],[f_201_1]) ).

cnf(f_201_3,plain,
    ( U_602 = U_600
    | hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,U_602),U_601) != hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,U_600),U_599) ),
    inference(clausify,[status(thm)],[f_201_2]) ).

cnf(f_201_4,plain,
    ( U_601 = U_599
    | hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,U_602),U_601) != hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,U_600),U_599) ),
    inference(clausify,[status(thm)],[f_201_2]) ).

fof(f_202_1,plain,
    ! [A_19,B_5,A_18,B_4] :
      ( ( B_5 = B_4
        & A_19 = A_18 )
      | hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,A_19),B_5) != hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,A_18),B_4) ),
    inference(fof_nnf,[status(thm)],[fact_60_Pair__inject]) ).

fof(f_202_2,plain,
    ! [U_606,U_605,U_604,U_603] :
      ( ( U_605 = U_603
        & U_606 = U_604 )
      | hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,U_606),U_605) != hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,U_604),U_603) ),
    inference(variable_rename,[status(thm)],[f_202_1]) ).

cnf(f_202_3,plain,
    ( U_606 = U_604
    | hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,U_606),U_605) != hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,U_604),U_603) ),
    inference(clausify,[status(thm)],[f_202_2]) ).

cnf(f_202_4,plain,
    ( U_605 = U_603
    | hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,U_606),U_605) != hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,U_604),U_603) ),
    inference(clausify,[status(thm)],[f_202_2]) ).

fof(f_203_1,plain,
    ! [A_19,B_5,A_18,B_4] :
      ( ( B_5 = B_4
        & A_19 = A_18 )
      | hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,A_19),B_5) != hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,A_18),B_4) ),
    inference(fof_nnf,[status(thm)],[fact_61_Pair__inject]) ).

fof(f_203_2,plain,
    ! [U_610,U_609,U_608,U_607] :
      ( ( U_609 = U_607
        & U_610 = U_608 )
      | hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,U_610),U_609) != hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,U_608),U_607) ),
    inference(variable_rename,[status(thm)],[f_203_1]) ).

cnf(f_203_3,plain,
    ( U_610 = U_608
    | hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,U_610),U_609) != hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,U_608),U_607) ),
    inference(clausify,[status(thm)],[f_203_2]) ).

cnf(f_203_4,plain,
    ( U_609 = U_607
    | hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,U_610),U_609) != hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,U_608),U_607) ),
    inference(clausify,[status(thm)],[f_203_2]) ).

fof(f_204_1,plain,
    ! [A_19,B_5,A_18,B_4] :
      ( ( B_5 = B_4
        & A_19 = A_18 )
      | hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,A_19),B_5) != hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,A_18),B_4) ),
    inference(fof_nnf,[status(thm)],[fact_62_Pair__inject]) ).

fof(f_204_2,plain,
    ! [U_614,U_613,U_612,U_611] :
      ( ( U_613 = U_611
        & U_614 = U_612 )
      | hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,U_614),U_613) != hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,U_612),U_611) ),
    inference(variable_rename,[status(thm)],[f_204_1]) ).

cnf(f_204_3,plain,
    ( U_614 = U_612
    | hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,U_614),U_613) != hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,U_612),U_611) ),
    inference(clausify,[status(thm)],[f_204_2]) ).

cnf(f_204_4,plain,
    ( U_613 = U_611
    | hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,U_614),U_613) != hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,U_612),U_611) ),
    inference(clausify,[status(thm)],[f_204_2]) ).

fof(f_205_1,plain,
    ! [A_19,B_5,A_18,B_4] :
      ( ( B_5 = B_4
        & A_19 = A_18 )
      | hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,A_19),B_5) != hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,A_18),B_4) ),
    inference(fof_nnf,[status(thm)],[fact_63_Pair__inject]) ).

fof(f_205_2,plain,
    ! [U_618,U_617,U_616,U_615] :
      ( ( U_617 = U_615
        & U_618 = U_616 )
      | hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,U_618),U_617) != hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,U_616),U_615) ),
    inference(variable_rename,[status(thm)],[f_205_1]) ).

cnf(f_205_3,plain,
    ( U_618 = U_616
    | hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,U_618),U_617) != hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,U_616),U_615) ),
    inference(clausify,[status(thm)],[f_205_2]) ).

cnf(f_205_4,plain,
    ( U_617 = U_615
    | hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,U_618),U_617) != hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,U_616),U_615) ),
    inference(clausify,[status(thm)],[f_205_2]) ).

fof(f_206_1,plain,
    ! [A_19,B_5,A_18,B_4] :
      ( ( B_5 = B_4
        & A_19 = A_18 )
      | hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,A_19),B_5) != hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,A_18),B_4) ),
    inference(fof_nnf,[status(thm)],[fact_64_Pair__inject]) ).

fof(f_206_2,plain,
    ! [U_622,U_621,U_620,U_619] :
      ( ( U_621 = U_619
        & U_622 = U_620 )
      | hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,U_622),U_621) != hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,U_620),U_619) ),
    inference(variable_rename,[status(thm)],[f_206_1]) ).

cnf(f_206_3,plain,
    ( U_622 = U_620
    | hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,U_622),U_621) != hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,U_620),U_619) ),
    inference(clausify,[status(thm)],[f_206_2]) ).

cnf(f_206_4,plain,
    ( U_621 = U_619
    | hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,U_622),U_621) != hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,U_620),U_619) ),
    inference(clausify,[status(thm)],[f_206_2]) ).

fof(f_207_1,plain,
    ! [A,B,A_3,B_3] :
      ( ( B = B_3
        & A = A_3 )
      | hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,A),B) != hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,A_3),B_3) ),
    inference(fof_nnf,[status(thm)],[fact_65_Pair__inject]) ).

fof(f_207_2,plain,
    ! [U_626,U_625,U_624,U_623] :
      ( ( U_625 = U_623
        & U_626 = U_624 )
      | hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,U_626),U_625) != hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,U_624),U_623) ),
    inference(variable_rename,[status(thm)],[f_207_1]) ).

cnf(f_207_3,plain,
    ( U_626 = U_624
    | hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,U_626),U_625) != hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,U_624),U_623) ),
    inference(clausify,[status(thm)],[f_207_2]) ).

cnf(f_207_4,plain,
    ( U_625 = U_623
    | hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,U_626),U_625) != hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,U_624),U_623) ),
    inference(clausify,[status(thm)],[f_207_2]) ).

fof(f_208_1,plain,
    ! [A_19,B_5,A_18,B_4] :
      ( ( B_5 = B_4
        & A_19 = A_18 )
      | hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,A_19),B_5) != hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,A_18),B_4) ),
    inference(fof_nnf,[status(thm)],[fact_66_Pair__inject]) ).

fof(f_208_2,plain,
    ! [U_630,U_629,U_628,U_627] :
      ( ( U_629 = U_627
        & U_630 = U_628 )
      | hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,U_630),U_629) != hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,U_628),U_627) ),
    inference(variable_rename,[status(thm)],[f_208_1]) ).

cnf(f_208_3,plain,
    ( U_630 = U_628
    | hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,U_630),U_629) != hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,U_628),U_627) ),
    inference(clausify,[status(thm)],[f_208_2]) ).

cnf(f_208_4,plain,
    ( U_629 = U_627
    | hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,U_630),U_629) != hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,U_628),U_627) ),
    inference(clausify,[status(thm)],[f_208_2]) ).

fof(f_209_1,plain,
    ! [A_19,B_5,A_18,B_4] :
      ( ( B_5 = B_4
        & A_19 = A_18 )
      | hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,A_19),B_5) != hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,A_18),B_4) ),
    inference(fof_nnf,[status(thm)],[fact_67_Pair__inject]) ).

fof(f_209_2,plain,
    ! [U_634,U_633,U_632,U_631] :
      ( ( U_633 = U_631
        & U_634 = U_632 )
      | hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,U_634),U_633) != hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,U_632),U_631) ),
    inference(variable_rename,[status(thm)],[f_209_1]) ).

cnf(f_209_3,plain,
    ( U_634 = U_632
    | hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,U_634),U_633) != hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,U_632),U_631) ),
    inference(clausify,[status(thm)],[f_209_2]) ).

cnf(f_209_4,plain,
    ( U_633 = U_631
    | hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,U_634),U_633) != hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,U_632),U_631) ),
    inference(clausify,[status(thm)],[f_209_2]) ).

fof(f_210_1,plain,
    ! [A_19,B_5,A_18,B_4] :
      ( ( B_5 = B_4
        & A_19 = A_18 )
      | hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,A_19),B_5) != hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,A_18),B_4) ),
    inference(fof_nnf,[status(thm)],[fact_68_Pair__inject]) ).

fof(f_210_2,plain,
    ! [U_638,U_637,U_636,U_635] :
      ( ( U_637 = U_635
        & U_638 = U_636 )
      | hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,U_638),U_637) != hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,U_636),U_635) ),
    inference(variable_rename,[status(thm)],[f_210_1]) ).

cnf(f_210_3,plain,
    ( U_638 = U_636
    | hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,U_638),U_637) != hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,U_636),U_635) ),
    inference(clausify,[status(thm)],[f_210_2]) ).

cnf(f_210_4,plain,
    ( U_637 = U_635
    | hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,U_638),U_637) != hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,U_636),U_635) ),
    inference(clausify,[status(thm)],[f_210_2]) ).

fof(f_211_1,plain,
    ! [A,B,A_3,B_3] :
      ( ( B = B_3
        & A = A_3 )
      | hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,A),B) != hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,A_3),B_3) ),
    inference(fof_nnf,[status(thm)],[fact_69_Pair__inject]) ).

fof(f_211_2,plain,
    ! [U_642,U_641,U_640,U_639] :
      ( ( U_641 = U_639
        & U_642 = U_640 )
      | hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,U_642),U_641) != hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,U_640),U_639) ),
    inference(variable_rename,[status(thm)],[f_211_1]) ).

cnf(f_211_3,plain,
    ( U_642 = U_640
    | hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,U_642),U_641) != hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,U_640),U_639) ),
    inference(clausify,[status(thm)],[f_211_2]) ).

cnf(f_211_4,plain,
    ( U_641 = U_639
    | hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,U_642),U_641) != hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,U_640),U_639) ),
    inference(clausify,[status(thm)],[f_211_2]) ).

fof(f_212_1,plain,
    ! [A,B,A_3,B_3] :
      ( ( B = B_3
        & A = A_3 )
      | hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,A),B) != hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,A_3),B_3) ),
    inference(fof_nnf,[status(thm)],[fact_70_Pair__inject]) ).

fof(f_212_2,plain,
    ! [U_646,U_645,U_644,U_643] :
      ( ( U_645 = U_643
        & U_646 = U_644 )
      | hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,U_646),U_645) != hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,U_644),U_643) ),
    inference(variable_rename,[status(thm)],[f_212_1]) ).

cnf(f_212_3,plain,
    ( U_646 = U_644
    | hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,U_646),U_645) != hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,U_644),U_643) ),
    inference(clausify,[status(thm)],[f_212_2]) ).

cnf(f_212_4,plain,
    ( U_645 = U_643
    | hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,U_646),U_645) != hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,U_644),U_643) ),
    inference(clausify,[status(thm)],[f_212_2]) ).

fof(f_213_1,plain,
    ! [A,B,A_3,B_3] :
      ( ( B = B_3
        & A = A_3 )
      | hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,A),B) != hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,A_3),B_3) ),
    inference(fof_nnf,[status(thm)],[fact_71_Pair__inject]) ).

fof(f_213_2,plain,
    ! [U_650,U_649,U_648,U_647] :
      ( ( U_649 = U_647
        & U_650 = U_648 )
      | hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,U_650),U_649) != hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,U_648),U_647) ),
    inference(variable_rename,[status(thm)],[f_213_1]) ).

cnf(f_213_3,plain,
    ( U_650 = U_648
    | hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,U_650),U_649) != hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,U_648),U_647) ),
    inference(clausify,[status(thm)],[f_213_2]) ).

cnf(f_213_4,plain,
    ( U_649 = U_647
    | hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,U_650),U_649) != hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,U_648),U_647) ),
    inference(clausify,[status(thm)],[f_213_2]) ).

fof(f_214_1,plain,
    ! [A_19,B_5,A_18,B_4] :
      ( ( B_5 = B_4
        & A_19 = A_18 )
      | hAPP_l1648260346t_char(hAPP_l1105836155t_char(produc1237966615t_char,A_19),B_5) != hAPP_l1648260346t_char(hAPP_l1105836155t_char(produc1237966615t_char,A_18),B_4) ),
    inference(fof_nnf,[status(thm)],[fact_72_Pair__inject]) ).

fof(f_214_2,plain,
    ! [U_654,U_653,U_652,U_651] :
      ( ( U_653 = U_651
        & U_654 = U_652 )
      | hAPP_l1648260346t_char(hAPP_l1105836155t_char(produc1237966615t_char,U_654),U_653) != hAPP_l1648260346t_char(hAPP_l1105836155t_char(produc1237966615t_char,U_652),U_651) ),
    inference(variable_rename,[status(thm)],[f_214_1]) ).

cnf(f_214_3,plain,
    ( U_654 = U_652
    | hAPP_l1648260346t_char(hAPP_l1105836155t_char(produc1237966615t_char,U_654),U_653) != hAPP_l1648260346t_char(hAPP_l1105836155t_char(produc1237966615t_char,U_652),U_651) ),
    inference(clausify,[status(thm)],[f_214_2]) ).

cnf(f_214_4,plain,
    ( U_653 = U_651
    | hAPP_l1648260346t_char(hAPP_l1105836155t_char(produc1237966615t_char,U_654),U_653) != hAPP_l1648260346t_char(hAPP_l1105836155t_char(produc1237966615t_char,U_652),U_651) ),
    inference(clausify,[status(thm)],[f_214_2]) ).

fof(f_215_1,plain,
    ! [A_19,B_5,A_18,B_4] :
      ( ( B_5 = B_4
        & A_19 = A_18 )
      | hAPP_e817857447t_char(hAPP_e1376201919t_char(produc943465171t_char,A_19),B_5) != hAPP_e817857447t_char(hAPP_e1376201919t_char(produc943465171t_char,A_18),B_4) ),
    inference(fof_nnf,[status(thm)],[fact_73_Pair__inject]) ).

fof(f_215_2,plain,
    ! [U_658,U_657,U_656,U_655] :
      ( ( U_657 = U_655
        & U_658 = U_656 )
      | hAPP_e817857447t_char(hAPP_e1376201919t_char(produc943465171t_char,U_658),U_657) != hAPP_e817857447t_char(hAPP_e1376201919t_char(produc943465171t_char,U_656),U_655) ),
    inference(variable_rename,[status(thm)],[f_215_1]) ).

cnf(f_215_3,plain,
    ( U_658 = U_656
    | hAPP_e817857447t_char(hAPP_e1376201919t_char(produc943465171t_char,U_658),U_657) != hAPP_e817857447t_char(hAPP_e1376201919t_char(produc943465171t_char,U_656),U_655) ),
    inference(clausify,[status(thm)],[f_215_2]) ).

cnf(f_215_4,plain,
    ( U_657 = U_655
    | hAPP_e817857447t_char(hAPP_e1376201919t_char(produc943465171t_char,U_658),U_657) != hAPP_e817857447t_char(hAPP_e1376201919t_char(produc943465171t_char,U_656),U_655) ),
    inference(clausify,[status(thm)],[f_215_2]) ).

fof(f_216_1,plain,
    ! [A_19,B_5,A_18,B_4] :
      ( ( B_5 = B_4
        & A_19 = A_18 )
      | hAPP_l1883348915t_char(hAPP_l2019537453t_char(produc2035944023t_char,A_19),B_5) != hAPP_l1883348915t_char(hAPP_l2019537453t_char(produc2035944023t_char,A_18),B_4) ),
    inference(fof_nnf,[status(thm)],[fact_74_Pair__inject]) ).

fof(f_216_2,plain,
    ! [U_662,U_661,U_660,U_659] :
      ( ( U_661 = U_659
        & U_662 = U_660 )
      | hAPP_l1883348915t_char(hAPP_l2019537453t_char(produc2035944023t_char,U_662),U_661) != hAPP_l1883348915t_char(hAPP_l2019537453t_char(produc2035944023t_char,U_660),U_659) ),
    inference(variable_rename,[status(thm)],[f_216_1]) ).

cnf(f_216_3,plain,
    ( U_662 = U_660
    | hAPP_l1883348915t_char(hAPP_l2019537453t_char(produc2035944023t_char,U_662),U_661) != hAPP_l1883348915t_char(hAPP_l2019537453t_char(produc2035944023t_char,U_660),U_659) ),
    inference(clausify,[status(thm)],[f_216_2]) ).

cnf(f_216_4,plain,
    ( U_661 = U_659
    | hAPP_l1883348915t_char(hAPP_l2019537453t_char(produc2035944023t_char,U_662),U_661) != hAPP_l1883348915t_char(hAPP_l2019537453t_char(produc2035944023t_char,U_660),U_659) ),
    inference(clausify,[status(thm)],[f_216_2]) ).

fof(f_217_1,plain,
    ! [A_19,B_5,A_18,B_4] :
      ( ( B_5 = B_4
        & A_19 = A_18 )
      | hAPP_l1294856089har_ty(hAPP_l1657578379har_ty(produc1860789535har_ty,A_19),B_5) != hAPP_l1294856089har_ty(hAPP_l1657578379har_ty(produc1860789535har_ty,A_18),B_4) ),
    inference(fof_nnf,[status(thm)],[fact_75_Pair__inject]) ).

fof(f_217_2,plain,
    ! [U_666,U_665,U_664,U_663] :
      ( ( U_665 = U_663
        & U_666 = U_664 )
      | hAPP_l1294856089har_ty(hAPP_l1657578379har_ty(produc1860789535har_ty,U_666),U_665) != hAPP_l1294856089har_ty(hAPP_l1657578379har_ty(produc1860789535har_ty,U_664),U_663) ),
    inference(variable_rename,[status(thm)],[f_217_1]) ).

cnf(f_217_3,plain,
    ( U_666 = U_664
    | hAPP_l1294856089har_ty(hAPP_l1657578379har_ty(produc1860789535har_ty,U_666),U_665) != hAPP_l1294856089har_ty(hAPP_l1657578379har_ty(produc1860789535har_ty,U_664),U_663) ),
    inference(clausify,[status(thm)],[f_217_2]) ).

cnf(f_217_4,plain,
    ( U_665 = U_663
    | hAPP_l1294856089har_ty(hAPP_l1657578379har_ty(produc1860789535har_ty,U_666),U_665) != hAPP_l1294856089har_ty(hAPP_l1657578379har_ty(produc1860789535har_ty,U_664),U_663) ),
    inference(clausify,[status(thm)],[f_217_2]) ).

fof(f_218_1,plain,
    ! [A_19,B_5,A_18,B_4] :
      ( ( B_5 = B_4
        & A_19 = A_18 )
      | hAPP_l1334098948t_char(hAPP_l1450984463t_char(produc436875159t_char,A_19),B_5) != hAPP_l1334098948t_char(hAPP_l1450984463t_char(produc436875159t_char,A_18),B_4) ),
    inference(fof_nnf,[status(thm)],[fact_76_Pair__inject]) ).

fof(f_218_2,plain,
    ! [U_670,U_669,U_668,U_667] :
      ( ( U_669 = U_667
        & U_670 = U_668 )
      | hAPP_l1334098948t_char(hAPP_l1450984463t_char(produc436875159t_char,U_670),U_669) != hAPP_l1334098948t_char(hAPP_l1450984463t_char(produc436875159t_char,U_668),U_667) ),
    inference(variable_rename,[status(thm)],[f_218_1]) ).

cnf(f_218_3,plain,
    ( U_670 = U_668
    | hAPP_l1334098948t_char(hAPP_l1450984463t_char(produc436875159t_char,U_670),U_669) != hAPP_l1334098948t_char(hAPP_l1450984463t_char(produc436875159t_char,U_668),U_667) ),
    inference(clausify,[status(thm)],[f_218_2]) ).

cnf(f_218_4,plain,
    ( U_669 = U_667
    | hAPP_l1334098948t_char(hAPP_l1450984463t_char(produc436875159t_char,U_670),U_669) != hAPP_l1334098948t_char(hAPP_l1450984463t_char(produc436875159t_char,U_668),U_667) ),
    inference(clausify,[status(thm)],[f_218_2]) ).

fof(f_219_1,plain,
    ! [A_19,B_5,A_18,B_4] :
      ( ( B_5 = B_4
        & A_19 = A_18 )
      | hAPP_l1249476511st_val(hAPP_l103437071st_val(produc2078839843st_val,A_19),B_5) != hAPP_l1249476511st_val(hAPP_l103437071st_val(produc2078839843st_val,A_18),B_4) ),
    inference(fof_nnf,[status(thm)],[fact_77_Pair__inject]) ).

fof(f_219_2,plain,
    ! [U_674,U_673,U_672,U_671] :
      ( ( U_673 = U_671
        & U_674 = U_672 )
      | hAPP_l1249476511st_val(hAPP_l103437071st_val(produc2078839843st_val,U_674),U_673) != hAPP_l1249476511st_val(hAPP_l103437071st_val(produc2078839843st_val,U_672),U_671) ),
    inference(variable_rename,[status(thm)],[f_219_1]) ).

cnf(f_219_3,plain,
    ( U_674 = U_672
    | hAPP_l1249476511st_val(hAPP_l103437071st_val(produc2078839843st_val,U_674),U_673) != hAPP_l1249476511st_val(hAPP_l103437071st_val(produc2078839843st_val,U_672),U_671) ),
    inference(clausify,[status(thm)],[f_219_2]) ).

cnf(f_219_4,plain,
    ( U_673 = U_671
    | hAPP_l1249476511st_val(hAPP_l103437071st_val(produc2078839843st_val,U_674),U_673) != hAPP_l1249476511st_val(hAPP_l103437071st_val(produc2078839843st_val,U_672),U_671) ),
    inference(clausify,[status(thm)],[f_219_2]) ).

fof(f_220_1,plain,
    ! [A_19,B_5,A_18,B_4] :
      ( ( B_5 = B_4
        & A_19 = A_18 )
      | hAPP_l1319068228ist_ty(hAPP_l1770520637ist_ty(produc512429457ist_ty,A_19),B_5) != hAPP_l1319068228ist_ty(hAPP_l1770520637ist_ty(produc512429457ist_ty,A_18),B_4) ),
    inference(fof_nnf,[status(thm)],[fact_78_Pair__inject]) ).

fof(f_220_2,plain,
    ! [U_678,U_677,U_676,U_675] :
      ( ( U_677 = U_675
        & U_678 = U_676 )
      | hAPP_l1319068228ist_ty(hAPP_l1770520637ist_ty(produc512429457ist_ty,U_678),U_677) != hAPP_l1319068228ist_ty(hAPP_l1770520637ist_ty(produc512429457ist_ty,U_676),U_675) ),
    inference(variable_rename,[status(thm)],[f_220_1]) ).

cnf(f_220_3,plain,
    ( U_678 = U_676
    | hAPP_l1319068228ist_ty(hAPP_l1770520637ist_ty(produc512429457ist_ty,U_678),U_677) != hAPP_l1319068228ist_ty(hAPP_l1770520637ist_ty(produc512429457ist_ty,U_676),U_675) ),
    inference(clausify,[status(thm)],[f_220_2]) ).

cnf(f_220_4,plain,
    ( U_677 = U_675
    | hAPP_l1319068228ist_ty(hAPP_l1770520637ist_ty(produc512429457ist_ty,U_678),U_677) != hAPP_l1319068228ist_ty(hAPP_l1770520637ist_ty(produc512429457ist_ty,U_676),U_675) ),
    inference(clausify,[status(thm)],[f_220_2]) ).

fof(f_221_1,plain,
    ! [A_19,B_5,A_18,B_4] :
      ( ( B_5 = B_4
        & A_19 = A_18 )
      | hAPP_b1909667208op_bop(hAPP_b1058859669op_bop(product_Pair_bop_bop,A_19),B_5) != hAPP_b1909667208op_bop(hAPP_b1058859669op_bop(product_Pair_bop_bop,A_18),B_4)
      | ~ is_bop(B_4)
      | ~ is_bop(A_18)
      | ~ is_bop(B_5)
      | ~ is_bop(A_19) ),
    inference(fof_nnf,[status(thm)],[fact_79_Pair__inject]) ).

fof(f_221_2,plain,
    ! [U_682,U_681,U_680,U_679] :
      ( ( U_681 = U_679
        & U_682 = U_680 )
      | hAPP_b1909667208op_bop(hAPP_b1058859669op_bop(product_Pair_bop_bop,U_682),U_681) != hAPP_b1909667208op_bop(hAPP_b1058859669op_bop(product_Pair_bop_bop,U_680),U_679)
      | ~ is_bop(U_679)
      | ~ is_bop(U_680)
      | ~ is_bop(U_681)
      | ~ is_bop(U_682) ),
    inference(variable_rename,[status(thm)],[f_221_1]) ).

cnf(f_221_3,plain,
    ( U_682 = U_680
    | hAPP_b1909667208op_bop(hAPP_b1058859669op_bop(product_Pair_bop_bop,U_682),U_681) != hAPP_b1909667208op_bop(hAPP_b1058859669op_bop(product_Pair_bop_bop,U_680),U_679)
    | ~ is_bop(U_679)
    | ~ is_bop(U_680)
    | ~ is_bop(U_681)
    | ~ is_bop(U_682) ),
    inference(clausify,[status(thm)],[f_221_2]) ).

cnf(f_221_4,plain,
    ( U_681 = U_679
    | hAPP_b1909667208op_bop(hAPP_b1058859669op_bop(product_Pair_bop_bop,U_682),U_681) != hAPP_b1909667208op_bop(hAPP_b1058859669op_bop(product_Pair_bop_bop,U_680),U_679)
    | ~ is_bop(U_679)
    | ~ is_bop(U_680)
    | ~ is_bop(U_681)
    | ~ is_bop(U_682) ),
    inference(clausify,[status(thm)],[f_221_2]) ).

fof(f_222_1,plain,
    ! [A,B,A_3,B_3] :
      ( ( B = B_3
        & A = A_3 )
      | hAPP_f1146435765on_val(hAPP_f1744304433on_val(produc1618304727on_val,A),B) != hAPP_f1146435765on_val(hAPP_f1744304433on_val(produc1618304727on_val,A_3),B_3) ),
    inference(fof_nnf,[status(thm)],[fact_80_Pair__inject]) ).

fof(f_222_2,plain,
    ! [U_686,U_685,U_684,U_683] :
      ( ( U_685 = U_683
        & U_686 = U_684 )
      | hAPP_f1146435765on_val(hAPP_f1744304433on_val(produc1618304727on_val,U_686),U_685) != hAPP_f1146435765on_val(hAPP_f1744304433on_val(produc1618304727on_val,U_684),U_683) ),
    inference(variable_rename,[status(thm)],[f_222_1]) ).

cnf(f_222_3,plain,
    ( U_686 = U_684
    | hAPP_f1146435765on_val(hAPP_f1744304433on_val(produc1618304727on_val,U_686),U_685) != hAPP_f1146435765on_val(hAPP_f1744304433on_val(produc1618304727on_val,U_684),U_683) ),
    inference(clausify,[status(thm)],[f_222_2]) ).

cnf(f_222_4,plain,
    ( U_685 = U_683
    | hAPP_f1146435765on_val(hAPP_f1744304433on_val(produc1618304727on_val,U_686),U_685) != hAPP_f1146435765on_val(hAPP_f1744304433on_val(produc1618304727on_val,U_684),U_683) ),
    inference(clausify,[status(thm)],[f_222_2]) ).

fof(f_223_1,plain,
    ! [A,B,A_3,B_3] :
      ( ( B = B_3
        & A = A_3 )
      | hAPP_f368284312on_val(hAPP_f1805337205on_val(produc1712663241on_val,A),B) != hAPP_f368284312on_val(hAPP_f1805337205on_val(produc1712663241on_val,A_3),B_3) ),
    inference(fof_nnf,[status(thm)],[fact_81_Pair__inject]) ).

fof(f_223_2,plain,
    ! [U_690,U_689,U_688,U_687] :
      ( ( U_689 = U_687
        & U_690 = U_688 )
      | hAPP_f368284312on_val(hAPP_f1805337205on_val(produc1712663241on_val,U_690),U_689) != hAPP_f368284312on_val(hAPP_f1805337205on_val(produc1712663241on_val,U_688),U_687) ),
    inference(variable_rename,[status(thm)],[f_223_1]) ).

cnf(f_223_3,plain,
    ( U_690 = U_688
    | hAPP_f368284312on_val(hAPP_f1805337205on_val(produc1712663241on_val,U_690),U_689) != hAPP_f368284312on_val(hAPP_f1805337205on_val(produc1712663241on_val,U_688),U_687) ),
    inference(clausify,[status(thm)],[f_223_2]) ).

cnf(f_223_4,plain,
    ( U_689 = U_687
    | hAPP_f368284312on_val(hAPP_f1805337205on_val(produc1712663241on_val,U_690),U_689) != hAPP_f368284312on_val(hAPP_f1805337205on_val(produc1712663241on_val,U_688),U_687) ),
    inference(clausify,[status(thm)],[f_223_2]) ).

fof(f_224_1,plain,
    ! [A,B,A_3,B_3] :
      ( ( B = B_3
        & A = A_3 )
      | hAPP_f1741070310on_val(hAPP_f864891091on_val(produc1960514199on_val,A),B) != hAPP_f1741070310on_val(hAPP_f864891091on_val(produc1960514199on_val,A_3),B_3) ),
    inference(fof_nnf,[status(thm)],[fact_82_Pair__inject]) ).

fof(f_224_2,plain,
    ! [U_694,U_693,U_692,U_691] :
      ( ( U_693 = U_691
        & U_694 = U_692 )
      | hAPP_f1741070310on_val(hAPP_f864891091on_val(produc1960514199on_val,U_694),U_693) != hAPP_f1741070310on_val(hAPP_f864891091on_val(produc1960514199on_val,U_692),U_691) ),
    inference(variable_rename,[status(thm)],[f_224_1]) ).

cnf(f_224_3,plain,
    ( U_694 = U_692
    | hAPP_f1741070310on_val(hAPP_f864891091on_val(produc1960514199on_val,U_694),U_693) != hAPP_f1741070310on_val(hAPP_f864891091on_val(produc1960514199on_val,U_692),U_691) ),
    inference(clausify,[status(thm)],[f_224_2]) ).

cnf(f_224_4,plain,
    ( U_693 = U_691
    | hAPP_f1741070310on_val(hAPP_f864891091on_val(produc1960514199on_val,U_694),U_693) != hAPP_f1741070310on_val(hAPP_f864891091on_val(produc1960514199on_val,U_692),U_691) ),
    inference(clausify,[status(thm)],[f_224_2]) ).

fof(f_225_1,plain,
    ! [A,B,A_3,B_3] :
      ( ( B = B_3
        & A = A_3 )
      | hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A),B) != hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_3),B_3) ),
    inference(fof_nnf,[status(thm)],[fact_83_Pair__inject]) ).

fof(f_225_2,plain,
    ! [U_698,U_697,U_696,U_695] :
      ( ( U_697 = U_695
        & U_698 = U_696 )
      | hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_698),U_697) != hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_696),U_695) ),
    inference(variable_rename,[status(thm)],[f_225_1]) ).

cnf(f_225_3,plain,
    ( U_698 = U_696
    | hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_698),U_697) != hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_696),U_695) ),
    inference(clausify,[status(thm)],[f_225_2]) ).

cnf(f_225_4,plain,
    ( U_697 = U_695
    | hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_698),U_697) != hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_696),U_695) ),
    inference(clausify,[status(thm)],[f_225_2]) ).

fof(f_226_1,plain,
    ! [A,B,A_3,B_3] :
      ( ( B = B_3
        & A = A_3 )
      | hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A),B) != hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A_3),B_3) ),
    inference(fof_nnf,[status(thm)],[fact_84_Pair__inject]) ).

fof(f_226_2,plain,
    ! [U_702,U_701,U_700,U_699] :
      ( ( U_701 = U_699
        & U_702 = U_700 )
      | hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_702),U_701) != hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_700),U_699) ),
    inference(variable_rename,[status(thm)],[f_226_1]) ).

cnf(f_226_3,plain,
    ( U_702 = U_700
    | hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_702),U_701) != hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_700),U_699) ),
    inference(clausify,[status(thm)],[f_226_2]) ).

cnf(f_226_4,plain,
    ( U_701 = U_699
    | hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_702),U_701) != hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_700),U_699) ),
    inference(clausify,[status(thm)],[f_226_2]) ).

fof(f_227_1,plain,
    ! [A,B,A_3,B_3] :
      ( ( B = B_3
        & A = A_3 )
      | hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A),B) != hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A_3),B_3) ),
    inference(fof_nnf,[status(thm)],[fact_85_Pair__inject]) ).

fof(f_227_2,plain,
    ! [U_706,U_705,U_704,U_703] :
      ( ( U_705 = U_703
        & U_706 = U_704 )
      | hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_706),U_705) != hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_704),U_703) ),
    inference(variable_rename,[status(thm)],[f_227_1]) ).

cnf(f_227_3,plain,
    ( U_706 = U_704
    | hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_706),U_705) != hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_704),U_703) ),
    inference(clausify,[status(thm)],[f_227_2]) ).

cnf(f_227_4,plain,
    ( U_705 = U_703
    | hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_706),U_705) != hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_704),U_703) ),
    inference(clausify,[status(thm)],[f_227_2]) ).

fof(f_228_1,plain,
    ! [A,B,A_3,B_3] :
      ( ( B = B_3
        & A = A_3 )
      | hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,A),B) != hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,A_3),B_3) ),
    inference(fof_nnf,[status(thm)],[fact_86_Pair__inject]) ).

fof(f_228_2,plain,
    ! [U_710,U_709,U_708,U_707] :
      ( ( U_709 = U_707
        & U_710 = U_708 )
      | hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_710),U_709) != hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_708),U_707) ),
    inference(variable_rename,[status(thm)],[f_228_1]) ).

cnf(f_228_3,plain,
    ( U_710 = U_708
    | hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_710),U_709) != hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_708),U_707) ),
    inference(clausify,[status(thm)],[f_228_2]) ).

cnf(f_228_4,plain,
    ( U_709 = U_707
    | hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_710),U_709) != hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_708),U_707) ),
    inference(clausify,[status(thm)],[f_228_2]) ).

fof(f_229_1,plain,
    ! [A_19,B_5,A_18,B_4] :
      ( ( B_5 = B_4
        & A_19 = A_18 )
      | hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A_19),B_5) != hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A_18),B_4) ),
    inference(fof_nnf,[status(thm)],[fact_87_Pair__inject]) ).

fof(f_229_2,plain,
    ! [U_714,U_713,U_712,U_711] :
      ( ( U_713 = U_711
        & U_714 = U_712 )
      | hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_714),U_713) != hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_712),U_711) ),
    inference(variable_rename,[status(thm)],[f_229_1]) ).

cnf(f_229_3,plain,
    ( U_714 = U_712
    | hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_714),U_713) != hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_712),U_711) ),
    inference(clausify,[status(thm)],[f_229_2]) ).

cnf(f_229_4,plain,
    ( U_713 = U_711
    | hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_714),U_713) != hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_712),U_711) ),
    inference(clausify,[status(thm)],[f_229_2]) ).

fof(f_230_1,plain,
    ! [A_19,B_5,A_18,B_4] :
      ( ( B_5 = B_4
        & A_19 = A_18 )
      | hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,A_19),B_5) != hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,A_18),B_4)
      | ~ is_bop(A_18)
      | ~ is_bop(A_19) ),
    inference(fof_nnf,[status(thm)],[fact_88_Pair__inject]) ).

fof(f_230_2,plain,
    ! [U_718,U_717,U_716,U_715] :
      ( ( U_717 = U_715
        & U_718 = U_716 )
      | hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_718),U_717) != hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_716),U_715)
      | ~ is_bop(U_716)
      | ~ is_bop(U_718) ),
    inference(variable_rename,[status(thm)],[f_230_1]) ).

fof(f_230_3,plain,
    ! [U_718,U_717,U_716] :
      ( ! [U_715] :
          ( ( U_717 = U_715
            & U_718 = U_716 )
          | hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_718),U_717) != hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_716),U_715) )
      | ~ is_bop(U_716)
      | ~ is_bop(U_718) ),
    inference(miniscope,[status(thm)],[f_230_2]) ).

cnf(f_230_4,plain,
    ( U_718 = U_716
    | hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_718),U_717) != hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_716),U_715)
    | ~ is_bop(U_716)
    | ~ is_bop(U_718) ),
    inference(clausify,[status(thm)],[f_230_3]) ).

cnf(f_230_5,plain,
    ( U_717 = U_715
    | hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_718),U_717) != hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_716),U_715)
    | ~ is_bop(U_716)
    | ~ is_bop(U_718) ),
    inference(clausify,[status(thm)],[f_230_3]) ).

fof(f_231_1,plain,
    ! [A_19,B_5,A_18,B_4] :
      ( ( B_5 = B_4
        & A_19 = A_18 )
      | hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A_19),B_5) != hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A_18),B_4) ),
    inference(fof_nnf,[status(thm)],[fact_89_Pair__inject]) ).

fof(f_231_2,plain,
    ! [U_722,U_721,U_720,U_719] :
      ( ( U_721 = U_719
        & U_722 = U_720 )
      | hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_722),U_721) != hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_720),U_719) ),
    inference(variable_rename,[status(thm)],[f_231_1]) ).

cnf(f_231_3,plain,
    ( U_722 = U_720
    | hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_722),U_721) != hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_720),U_719) ),
    inference(clausify,[status(thm)],[f_231_2]) ).

cnf(f_231_4,plain,
    ( U_721 = U_719
    | hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_722),U_721) != hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_720),U_719) ),
    inference(clausify,[status(thm)],[f_231_2]) ).

fof(f_232_1,plain,
    ! [A,B,A_3,B_3] :
      ( ( B = B_3
        & A = A_3 )
      | hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A),B) != hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A_3),B_3) ),
    inference(fof_nnf,[status(thm)],[fact_90_Pair__inject]) ).

fof(f_232_2,plain,
    ! [U_726,U_725,U_724,U_723] :
      ( ( U_725 = U_723
        & U_726 = U_724 )
      | hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_726),U_725) != hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_724),U_723) ),
    inference(variable_rename,[status(thm)],[f_232_1]) ).

cnf(f_232_3,plain,
    ( U_726 = U_724
    | hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_726),U_725) != hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_724),U_723) ),
    inference(clausify,[status(thm)],[f_232_2]) ).

cnf(f_232_4,plain,
    ( U_725 = U_723
    | hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_726),U_725) != hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_724),U_723) ),
    inference(clausify,[status(thm)],[f_232_2]) ).

fof(f_233_1,plain,
    ! [A,B,A_3,B_3] :
      ( ( B = B_3
        & A = A_3 )
      | hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,A),B) != hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,A_3),B_3) ),
    inference(fof_nnf,[status(thm)],[fact_91_Pair__inject]) ).

fof(f_233_2,plain,
    ! [U_730,U_729,U_728,U_727] :
      ( ( U_729 = U_727
        & U_730 = U_728 )
      | hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_730),U_729) != hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_728),U_727) ),
    inference(variable_rename,[status(thm)],[f_233_1]) ).

cnf(f_233_3,plain,
    ( U_730 = U_728
    | hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_730),U_729) != hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_728),U_727) ),
    inference(clausify,[status(thm)],[f_233_2]) ).

cnf(f_233_4,plain,
    ( U_729 = U_727
    | hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_730),U_729) != hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_728),U_727) ),
    inference(clausify,[status(thm)],[f_233_2]) ).

fof(f_234_1,plain,
    ! [A_19,B_5,A_18,B_4] :
      ( ( B_5 = B_4
        & A_19 = A_18 )
      | hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,A_19),B_5) != hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,A_18),B_4) ),
    inference(fof_nnf,[status(thm)],[fact_92_Pair__inject]) ).

fof(f_234_2,plain,
    ! [U_734,U_733,U_732,U_731] :
      ( ( U_733 = U_731
        & U_734 = U_732 )
      | hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_734),U_733) != hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_732),U_731) ),
    inference(variable_rename,[status(thm)],[f_234_1]) ).

cnf(f_234_3,plain,
    ( U_734 = U_732
    | hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_734),U_733) != hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_732),U_731) ),
    inference(clausify,[status(thm)],[f_234_2]) ).

cnf(f_234_4,plain,
    ( U_733 = U_731
    | hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_734),U_733) != hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_732),U_731) ),
    inference(clausify,[status(thm)],[f_234_2]) ).

fof(f_235_1,plain,
    ! [A_19,B_5,A_18,B_4] :
      ( ( B_5 = B_4
        & A_19 = A_18 )
      | hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,A_19),B_5) != hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,A_18),B_4) ),
    inference(fof_nnf,[status(thm)],[fact_93_Pair__inject]) ).

fof(f_235_2,plain,
    ! [U_738,U_737,U_736,U_735] :
      ( ( U_737 = U_735
        & U_738 = U_736 )
      | hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_738),U_737) != hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_736),U_735) ),
    inference(variable_rename,[status(thm)],[f_235_1]) ).

cnf(f_235_3,plain,
    ( U_738 = U_736
    | hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_738),U_737) != hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_736),U_735) ),
    inference(clausify,[status(thm)],[f_235_2]) ).

cnf(f_235_4,plain,
    ( U_737 = U_735
    | hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_738),U_737) != hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_736),U_735) ),
    inference(clausify,[status(thm)],[f_235_2]) ).

fof(f_236_1,plain,
    ! [A_19,B_5,A_18,B_4] :
      ( ( B_5 = B_4
        & A_19 = A_18 )
      | hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,A_19),B_5) != hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,A_18),B_4) ),
    inference(fof_nnf,[status(thm)],[fact_94_Pair__inject]) ).

fof(f_236_2,plain,
    ! [U_742,U_741,U_740,U_739] :
      ( ( U_741 = U_739
        & U_742 = U_740 )
      | hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_742),U_741) != hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_740),U_739) ),
    inference(variable_rename,[status(thm)],[f_236_1]) ).

cnf(f_236_3,plain,
    ( U_742 = U_740
    | hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_742),U_741) != hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_740),U_739) ),
    inference(clausify,[status(thm)],[f_236_2]) ).

cnf(f_236_4,plain,
    ( U_741 = U_739
    | hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_742),U_741) != hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_740),U_739) ),
    inference(clausify,[status(thm)],[f_236_2]) ).

fof(f_237_1,plain,
    ! [A_19,B_5,A_18,B_4] :
      ( ( B_5 = B_4
        & A_19 = A_18 )
      | hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,A_19),B_5) != hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,A_18),B_4) ),
    inference(fof_nnf,[status(thm)],[fact_95_Pair__inject]) ).

fof(f_237_2,plain,
    ! [U_746,U_745,U_744,U_743] :
      ( ( U_745 = U_743
        & U_746 = U_744 )
      | hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_746),U_745) != hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_744),U_743) ),
    inference(variable_rename,[status(thm)],[f_237_1]) ).

cnf(f_237_3,plain,
    ( U_746 = U_744
    | hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_746),U_745) != hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_744),U_743) ),
    inference(clausify,[status(thm)],[f_237_2]) ).

cnf(f_237_4,plain,
    ( U_745 = U_743
    | hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_746),U_745) != hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_744),U_743) ),
    inference(clausify,[status(thm)],[f_237_2]) ).

fof(f_238_1,plain,
    ! [A_19,B_5,A_18,B_4] :
      ( ( B_5 = B_4
        & A_19 = A_18 )
      | hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,A_19),B_5) != hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,A_18),B_4) ),
    inference(fof_nnf,[status(thm)],[fact_96_Pair__inject]) ).

fof(f_238_2,plain,
    ! [U_750,U_749,U_748,U_747] :
      ( ( U_749 = U_747
        & U_750 = U_748 )
      | hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_750),U_749) != hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_748),U_747) ),
    inference(variable_rename,[status(thm)],[f_238_1]) ).

cnf(f_238_3,plain,
    ( U_750 = U_748
    | hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_750),U_749) != hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_748),U_747) ),
    inference(clausify,[status(thm)],[f_238_2]) ).

cnf(f_238_4,plain,
    ( U_749 = U_747
    | hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_750),U_749) != hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_748),U_747) ),
    inference(clausify,[status(thm)],[f_238_2]) ).

fof(f_239_1,plain,
    ! [A_19,B_5,A_18,B_4] :
      ( ( B_5 = B_4
        & A_19 = A_18 )
      | hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,A_19),B_5) != hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,A_18),B_4) ),
    inference(fof_nnf,[status(thm)],[fact_97_Pair__inject]) ).

fof(f_239_2,plain,
    ! [U_754,U_753,U_752,U_751] :
      ( ( U_753 = U_751
        & U_754 = U_752 )
      | hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_754),U_753) != hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_752),U_751) ),
    inference(variable_rename,[status(thm)],[f_239_1]) ).

cnf(f_239_3,plain,
    ( U_754 = U_752
    | hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_754),U_753) != hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_752),U_751) ),
    inference(clausify,[status(thm)],[f_239_2]) ).

cnf(f_239_4,plain,
    ( U_753 = U_751
    | hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_754),U_753) != hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_752),U_751) ),
    inference(clausify,[status(thm)],[f_239_2]) ).

fof(f_240_1,plain,
    ! [A_19,B_5,A_18,B_4] :
      ( ( B_5 = B_4
        & A_19 = A_18 )
      | hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,A_19),B_5) != hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,A_18),B_4) ),
    inference(fof_nnf,[status(thm)],[fact_98_Pair__inject]) ).

fof(f_240_2,plain,
    ! [U_758,U_757,U_756,U_755] :
      ( ( U_757 = U_755
        & U_758 = U_756 )
      | hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_758),U_757) != hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_756),U_755) ),
    inference(variable_rename,[status(thm)],[f_240_1]) ).

cnf(f_240_3,plain,
    ( U_758 = U_756
    | hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_758),U_757) != hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_756),U_755) ),
    inference(clausify,[status(thm)],[f_240_2]) ).

cnf(f_240_4,plain,
    ( U_757 = U_755
    | hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_758),U_757) != hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_756),U_755) ),
    inference(clausify,[status(thm)],[f_240_2]) ).

fof(f_241_1,plain,
    ! [A,B,A_3,B_3] :
      ( ( hAPP_t1875766236har_ty(hAPP_l1948972481har_ty(produc251930284har_ty,A),B) = hAPP_t1875766236har_ty(hAPP_l1948972481har_ty(produc251930284har_ty,A_3),B_3)
        | B != B_3
        | A != A_3 )
      & ( ( B = B_3
          & A = A_3 )
        | hAPP_t1875766236har_ty(hAPP_l1948972481har_ty(produc251930284har_ty,A),B) != hAPP_t1875766236har_ty(hAPP_l1948972481har_ty(produc251930284har_ty,A_3),B_3) ) ),
    inference(fof_nnf,[status(thm)],[fact_99_Pair__eq]) ).

fof(f_241_2,plain,
    ! [U_762,U_761,U_760,U_759] :
      ( ( hAPP_t1875766236har_ty(hAPP_l1948972481har_ty(produc251930284har_ty,U_762),U_761) = hAPP_t1875766236har_ty(hAPP_l1948972481har_ty(produc251930284har_ty,U_760),U_759)
        | U_761 != U_759
        | U_762 != U_760 )
      & ( ( U_761 = U_759
          & U_762 = U_760 )
        | hAPP_t1875766236har_ty(hAPP_l1948972481har_ty(produc251930284har_ty,U_762),U_761) != hAPP_t1875766236har_ty(hAPP_l1948972481har_ty(produc251930284har_ty,U_760),U_759) ) ),
    inference(variable_rename,[status(thm)],[f_241_1]) ).

fof(f_241_3,plain,
    ( ! [U_770,U_768,U_766,U_764] :
        ( hAPP_t1875766236har_ty(hAPP_l1948972481har_ty(produc251930284har_ty,U_770),U_768) = hAPP_t1875766236har_ty(hAPP_l1948972481har_ty(produc251930284har_ty,U_766),U_764)
        | U_768 != U_764
        | U_770 != U_766 )
    & ! [U_769,U_767,U_765,U_763] :
        ( ( U_767 = U_763
          & U_769 = U_765 )
        | hAPP_t1875766236har_ty(hAPP_l1948972481har_ty(produc251930284har_ty,U_769),U_767) != hAPP_t1875766236har_ty(hAPP_l1948972481har_ty(produc251930284har_ty,U_765),U_763) ) ),
    inference(miniscope,[status(thm)],[f_241_2]) ).

cnf(f_241_4,plain,
    ( U_769 = U_765
    | hAPP_t1875766236har_ty(hAPP_l1948972481har_ty(produc251930284har_ty,U_769),U_767) != hAPP_t1875766236har_ty(hAPP_l1948972481har_ty(produc251930284har_ty,U_765),U_763) ),
    inference(clausify,[status(thm)],[f_241_3]) ).

cnf(f_241_5,plain,
    ( U_767 = U_763
    | hAPP_t1875766236har_ty(hAPP_l1948972481har_ty(produc251930284har_ty,U_769),U_767) != hAPP_t1875766236har_ty(hAPP_l1948972481har_ty(produc251930284har_ty,U_765),U_763) ),
    inference(clausify,[status(thm)],[f_241_3]) ).

cnf(f_241_6,plain,
    ( hAPP_t1875766236har_ty(hAPP_l1948972481har_ty(produc251930284har_ty,U_770),U_768) = hAPP_t1875766236har_ty(hAPP_l1948972481har_ty(produc251930284har_ty,U_766),U_764)
    | U_768 != U_764
    | U_770 != U_766 ),
    inference(clausify,[status(thm)],[f_241_3]) ).

fof(f_242_1,plain,
    ! [A,B,A_3,B_3] :
      ( ( hAPP_t708040077har_ty(hAPP_P827589667har_ty(produc1265154397har_ty,A),B) = hAPP_t708040077har_ty(hAPP_P827589667har_ty(produc1265154397har_ty,A_3),B_3)
        | B != B_3
        | A != A_3 )
      & ( ( B = B_3
          & A = A_3 )
        | hAPP_t708040077har_ty(hAPP_P827589667har_ty(produc1265154397har_ty,A),B) != hAPP_t708040077har_ty(hAPP_P827589667har_ty(produc1265154397har_ty,A_3),B_3) ) ),
    inference(fof_nnf,[status(thm)],[fact_100_Pair__eq]) ).

fof(f_242_2,plain,
    ! [U_774,U_773,U_772,U_771] :
      ( ( hAPP_t708040077har_ty(hAPP_P827589667har_ty(produc1265154397har_ty,U_774),U_773) = hAPP_t708040077har_ty(hAPP_P827589667har_ty(produc1265154397har_ty,U_772),U_771)
        | U_773 != U_771
        | U_774 != U_772 )
      & ( ( U_773 = U_771
          & U_774 = U_772 )
        | hAPP_t708040077har_ty(hAPP_P827589667har_ty(produc1265154397har_ty,U_774),U_773) != hAPP_t708040077har_ty(hAPP_P827589667har_ty(produc1265154397har_ty,U_772),U_771) ) ),
    inference(variable_rename,[status(thm)],[f_242_1]) ).

fof(f_242_3,plain,
    ( ! [U_782,U_780,U_778,U_776] :
        ( hAPP_t708040077har_ty(hAPP_P827589667har_ty(produc1265154397har_ty,U_782),U_780) = hAPP_t708040077har_ty(hAPP_P827589667har_ty(produc1265154397har_ty,U_778),U_776)
        | U_780 != U_776
        | U_782 != U_778 )
    & ! [U_781,U_779,U_777,U_775] :
        ( ( U_779 = U_775
          & U_781 = U_777 )
        | hAPP_t708040077har_ty(hAPP_P827589667har_ty(produc1265154397har_ty,U_781),U_779) != hAPP_t708040077har_ty(hAPP_P827589667har_ty(produc1265154397har_ty,U_777),U_775) ) ),
    inference(miniscope,[status(thm)],[f_242_2]) ).

cnf(f_242_4,plain,
    ( U_781 = U_777
    | hAPP_t708040077har_ty(hAPP_P827589667har_ty(produc1265154397har_ty,U_781),U_779) != hAPP_t708040077har_ty(hAPP_P827589667har_ty(produc1265154397har_ty,U_777),U_775) ),
    inference(clausify,[status(thm)],[f_242_3]) ).

cnf(f_242_5,plain,
    ( U_779 = U_775
    | hAPP_t708040077har_ty(hAPP_P827589667har_ty(produc1265154397har_ty,U_781),U_779) != hAPP_t708040077har_ty(hAPP_P827589667har_ty(produc1265154397har_ty,U_777),U_775) ),
    inference(clausify,[status(thm)],[f_242_3]) ).

cnf(f_242_6,plain,
    ( hAPP_t708040077har_ty(hAPP_P827589667har_ty(produc1265154397har_ty,U_782),U_780) = hAPP_t708040077har_ty(hAPP_P827589667har_ty(produc1265154397har_ty,U_778),U_776)
    | U_780 != U_776
    | U_782 != U_778 ),
    inference(clausify,[status(thm)],[f_242_3]) ).

fof(f_243_1,plain,
    ! [A,B,A_3,B_3] :
      ( ( hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,A),B) = hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,A_3),B_3)
        | B != B_3
        | A != A_3 )
      & ( ( B = B_3
          & A = A_3 )
        | hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,A),B) != hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,A_3),B_3) ) ),
    inference(fof_nnf,[status(thm)],[fact_101_Pair__eq]) ).

fof(f_243_2,plain,
    ! [U_786,U_785,U_784,U_783] :
      ( ( hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,U_786),U_785) = hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,U_784),U_783)
        | U_785 != U_783
        | U_786 != U_784 )
      & ( ( U_785 = U_783
          & U_786 = U_784 )
        | hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,U_786),U_785) != hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,U_784),U_783) ) ),
    inference(variable_rename,[status(thm)],[f_243_1]) ).

fof(f_243_3,plain,
    ( ! [U_794,U_792,U_790,U_788] :
        ( hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,U_794),U_792) = hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,U_790),U_788)
        | U_792 != U_788
        | U_794 != U_790 )
    & ! [U_793,U_791,U_789,U_787] :
        ( ( U_791 = U_787
          & U_793 = U_789 )
        | hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,U_793),U_791) != hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,U_789),U_787) ) ),
    inference(miniscope,[status(thm)],[f_243_2]) ).

cnf(f_243_4,plain,
    ( U_793 = U_789
    | hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,U_793),U_791) != hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,U_789),U_787) ),
    inference(clausify,[status(thm)],[f_243_3]) ).

cnf(f_243_5,plain,
    ( U_791 = U_787
    | hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,U_793),U_791) != hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,U_789),U_787) ),
    inference(clausify,[status(thm)],[f_243_3]) ).

cnf(f_243_6,plain,
    ( hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,U_794),U_792) = hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,U_790),U_788)
    | U_792 != U_788
    | U_794 != U_790 ),
    inference(clausify,[status(thm)],[f_243_3]) ).

fof(f_244_1,plain,
    ! [A,B,A_3,B_3] :
      ( ( hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,A),B) = hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,A_3),B_3)
        | B != B_3
        | A != A_3 )
      & ( ( B = B_3
          & A = A_3 )
        | hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,A),B) != hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,A_3),B_3) ) ),
    inference(fof_nnf,[status(thm)],[fact_102_Pair__eq]) ).

fof(f_244_2,plain,
    ! [U_798,U_797,U_796,U_795] :
      ( ( hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,U_798),U_797) = hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,U_796),U_795)
        | U_797 != U_795
        | U_798 != U_796 )
      & ( ( U_797 = U_795
          & U_798 = U_796 )
        | hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,U_798),U_797) != hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,U_796),U_795) ) ),
    inference(variable_rename,[status(thm)],[f_244_1]) ).

fof(f_244_3,plain,
    ( ! [U_806,U_804,U_802,U_800] :
        ( hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,U_806),U_804) = hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,U_802),U_800)
        | U_804 != U_800
        | U_806 != U_802 )
    & ! [U_805,U_803,U_801,U_799] :
        ( ( U_803 = U_799
          & U_805 = U_801 )
        | hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,U_805),U_803) != hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,U_801),U_799) ) ),
    inference(miniscope,[status(thm)],[f_244_2]) ).

cnf(f_244_4,plain,
    ( U_805 = U_801
    | hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,U_805),U_803) != hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,U_801),U_799) ),
    inference(clausify,[status(thm)],[f_244_3]) ).

cnf(f_244_5,plain,
    ( U_803 = U_799
    | hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,U_805),U_803) != hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,U_801),U_799) ),
    inference(clausify,[status(thm)],[f_244_3]) ).

cnf(f_244_6,plain,
    ( hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,U_806),U_804) = hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,U_802),U_800)
    | U_804 != U_800
    | U_806 != U_802 ),
    inference(clausify,[status(thm)],[f_244_3]) ).

fof(f_245_1,plain,
    ! [A,B,A_3,B_3] :
      ( ( hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,A),B) = hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,A_3),B_3)
        | B != B_3
        | A != A_3 )
      & ( ( B = B_3
          & A = A_3 )
        | hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,A),B) != hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,A_3),B_3) ) ),
    inference(fof_nnf,[status(thm)],[fact_103_Pair__eq]) ).

fof(f_245_2,plain,
    ! [U_810,U_809,U_808,U_807] :
      ( ( hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,U_810),U_809) = hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,U_808),U_807)
        | U_809 != U_807
        | U_810 != U_808 )
      & ( ( U_809 = U_807
          & U_810 = U_808 )
        | hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,U_810),U_809) != hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,U_808),U_807) ) ),
    inference(variable_rename,[status(thm)],[f_245_1]) ).

fof(f_245_3,plain,
    ( ! [U_818,U_816,U_814,U_812] :
        ( hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,U_818),U_816) = hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,U_814),U_812)
        | U_816 != U_812
        | U_818 != U_814 )
    & ! [U_817,U_815,U_813,U_811] :
        ( ( U_815 = U_811
          & U_817 = U_813 )
        | hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,U_817),U_815) != hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,U_813),U_811) ) ),
    inference(miniscope,[status(thm)],[f_245_2]) ).

cnf(f_245_4,plain,
    ( U_817 = U_813
    | hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,U_817),U_815) != hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,U_813),U_811) ),
    inference(clausify,[status(thm)],[f_245_3]) ).

cnf(f_245_5,plain,
    ( U_815 = U_811
    | hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,U_817),U_815) != hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,U_813),U_811) ),
    inference(clausify,[status(thm)],[f_245_3]) ).

cnf(f_245_6,plain,
    ( hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,U_818),U_816) = hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,U_814),U_812)
    | U_816 != U_812
    | U_818 != U_814 ),
    inference(clausify,[status(thm)],[f_245_3]) ).

fof(f_246_1,plain,
    ! [A,B,A_3,B_3] :
      ( ( hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,A),B) = hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,A_3),B_3)
        | B != B_3
        | A != A_3 )
      & ( ( B = B_3
          & A = A_3 )
        | hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,A),B) != hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,A_3),B_3) ) ),
    inference(fof_nnf,[status(thm)],[fact_104_Pair__eq]) ).

fof(f_246_2,plain,
    ! [U_822,U_821,U_820,U_819] :
      ( ( hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,U_822),U_821) = hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,U_820),U_819)
        | U_821 != U_819
        | U_822 != U_820 )
      & ( ( U_821 = U_819
          & U_822 = U_820 )
        | hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,U_822),U_821) != hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,U_820),U_819) ) ),
    inference(variable_rename,[status(thm)],[f_246_1]) ).

fof(f_246_3,plain,
    ( ! [U_830,U_828,U_826,U_824] :
        ( hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,U_830),U_828) = hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,U_826),U_824)
        | U_828 != U_824
        | U_830 != U_826 )
    & ! [U_829,U_827,U_825,U_823] :
        ( ( U_827 = U_823
          & U_829 = U_825 )
        | hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,U_829),U_827) != hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,U_825),U_823) ) ),
    inference(miniscope,[status(thm)],[f_246_2]) ).

cnf(f_246_4,plain,
    ( U_829 = U_825
    | hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,U_829),U_827) != hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,U_825),U_823) ),
    inference(clausify,[status(thm)],[f_246_3]) ).

cnf(f_246_5,plain,
    ( U_827 = U_823
    | hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,U_829),U_827) != hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,U_825),U_823) ),
    inference(clausify,[status(thm)],[f_246_3]) ).

cnf(f_246_6,plain,
    ( hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,U_830),U_828) = hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,U_826),U_824)
    | U_828 != U_824
    | U_830 != U_826 ),
    inference(clausify,[status(thm)],[f_246_3]) ).

fof(f_247_1,plain,
    ! [A,B,A_3,B_3] :
      ( ( hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,A),B) = hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,A_3),B_3)
        | B != B_3
        | A != A_3 )
      & ( ( B = B_3
          & A = A_3 )
        | hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,A),B) != hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,A_3),B_3) ) ),
    inference(fof_nnf,[status(thm)],[fact_105_Pair__eq]) ).

fof(f_247_2,plain,
    ! [U_834,U_833,U_832,U_831] :
      ( ( hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,U_834),U_833) = hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,U_832),U_831)
        | U_833 != U_831
        | U_834 != U_832 )
      & ( ( U_833 = U_831
          & U_834 = U_832 )
        | hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,U_834),U_833) != hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,U_832),U_831) ) ),
    inference(variable_rename,[status(thm)],[f_247_1]) ).

fof(f_247_3,plain,
    ( ! [U_842,U_840,U_838,U_836] :
        ( hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,U_842),U_840) = hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,U_838),U_836)
        | U_840 != U_836
        | U_842 != U_838 )
    & ! [U_841,U_839,U_837,U_835] :
        ( ( U_839 = U_835
          & U_841 = U_837 )
        | hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,U_841),U_839) != hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,U_837),U_835) ) ),
    inference(miniscope,[status(thm)],[f_247_2]) ).

cnf(f_247_4,plain,
    ( U_841 = U_837
    | hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,U_841),U_839) != hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,U_837),U_835) ),
    inference(clausify,[status(thm)],[f_247_3]) ).

cnf(f_247_5,plain,
    ( U_839 = U_835
    | hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,U_841),U_839) != hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,U_837),U_835) ),
    inference(clausify,[status(thm)],[f_247_3]) ).

cnf(f_247_6,plain,
    ( hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,U_842),U_840) = hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,U_838),U_836)
    | U_840 != U_836
    | U_842 != U_838 ),
    inference(clausify,[status(thm)],[f_247_3]) ).

fof(f_248_1,plain,
    ! [A,B,A_3,B_3] :
      ( ( hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,A),B) = hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,A_3),B_3)
        | B != B_3
        | A != A_3 )
      & ( ( B = B_3
          & A = A_3 )
        | hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,A),B) != hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,A_3),B_3) ) ),
    inference(fof_nnf,[status(thm)],[fact_106_Pair__eq]) ).

fof(f_248_2,plain,
    ! [U_846,U_845,U_844,U_843] :
      ( ( hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,U_846),U_845) = hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,U_844),U_843)
        | U_845 != U_843
        | U_846 != U_844 )
      & ( ( U_845 = U_843
          & U_846 = U_844 )
        | hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,U_846),U_845) != hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,U_844),U_843) ) ),
    inference(variable_rename,[status(thm)],[f_248_1]) ).

fof(f_248_3,plain,
    ( ! [U_854,U_852,U_850,U_848] :
        ( hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,U_854),U_852) = hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,U_850),U_848)
        | U_852 != U_848
        | U_854 != U_850 )
    & ! [U_853,U_851,U_849,U_847] :
        ( ( U_851 = U_847
          & U_853 = U_849 )
        | hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,U_853),U_851) != hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,U_849),U_847) ) ),
    inference(miniscope,[status(thm)],[f_248_2]) ).

cnf(f_248_4,plain,
    ( U_853 = U_849
    | hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,U_853),U_851) != hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,U_849),U_847) ),
    inference(clausify,[status(thm)],[f_248_3]) ).

cnf(f_248_5,plain,
    ( U_851 = U_847
    | hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,U_853),U_851) != hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,U_849),U_847) ),
    inference(clausify,[status(thm)],[f_248_3]) ).

cnf(f_248_6,plain,
    ( hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,U_854),U_852) = hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,U_850),U_848)
    | U_852 != U_848
    | U_854 != U_850 ),
    inference(clausify,[status(thm)],[f_248_3]) ).

fof(f_249_1,plain,
    ! [A,B,A_3,B_3] :
      ( ( hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,A),B) = hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,A_3),B_3)
        | B != B_3
        | A != A_3 )
      & ( ( B = B_3
          & A = A_3 )
        | hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,A),B) != hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,A_3),B_3) ) ),
    inference(fof_nnf,[status(thm)],[fact_107_Pair__eq]) ).

fof(f_249_2,plain,
    ! [U_858,U_857,U_856,U_855] :
      ( ( hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,U_858),U_857) = hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,U_856),U_855)
        | U_857 != U_855
        | U_858 != U_856 )
      & ( ( U_857 = U_855
          & U_858 = U_856 )
        | hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,U_858),U_857) != hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,U_856),U_855) ) ),
    inference(variable_rename,[status(thm)],[f_249_1]) ).

fof(f_249_3,plain,
    ( ! [U_866,U_864,U_862,U_860] :
        ( hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,U_866),U_864) = hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,U_862),U_860)
        | U_864 != U_860
        | U_866 != U_862 )
    & ! [U_865,U_863,U_861,U_859] :
        ( ( U_863 = U_859
          & U_865 = U_861 )
        | hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,U_865),U_863) != hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,U_861),U_859) ) ),
    inference(miniscope,[status(thm)],[f_249_2]) ).

cnf(f_249_4,plain,
    ( U_865 = U_861
    | hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,U_865),U_863) != hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,U_861),U_859) ),
    inference(clausify,[status(thm)],[f_249_3]) ).

cnf(f_249_5,plain,
    ( U_863 = U_859
    | hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,U_865),U_863) != hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,U_861),U_859) ),
    inference(clausify,[status(thm)],[f_249_3]) ).

cnf(f_249_6,plain,
    ( hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,U_866),U_864) = hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,U_862),U_860)
    | U_864 != U_860
    | U_866 != U_862 ),
    inference(clausify,[status(thm)],[f_249_3]) ).

fof(f_250_1,plain,
    ! [A,B,A_3,B_3] :
      ( ( hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,A),B) = hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,A_3),B_3)
        | B != B_3
        | A != A_3 )
      & ( ( B = B_3
          & A = A_3 )
        | hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,A),B) != hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,A_3),B_3) ) ),
    inference(fof_nnf,[status(thm)],[fact_108_Pair__eq]) ).

fof(f_250_2,plain,
    ! [U_870,U_869,U_868,U_867] :
      ( ( hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,U_870),U_869) = hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,U_868),U_867)
        | U_869 != U_867
        | U_870 != U_868 )
      & ( ( U_869 = U_867
          & U_870 = U_868 )
        | hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,U_870),U_869) != hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,U_868),U_867) ) ),
    inference(variable_rename,[status(thm)],[f_250_1]) ).

fof(f_250_3,plain,
    ( ! [U_878,U_876,U_874,U_872] :
        ( hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,U_878),U_876) = hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,U_874),U_872)
        | U_876 != U_872
        | U_878 != U_874 )
    & ! [U_877,U_875,U_873,U_871] :
        ( ( U_875 = U_871
          & U_877 = U_873 )
        | hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,U_877),U_875) != hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,U_873),U_871) ) ),
    inference(miniscope,[status(thm)],[f_250_2]) ).

cnf(f_250_4,plain,
    ( U_877 = U_873
    | hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,U_877),U_875) != hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,U_873),U_871) ),
    inference(clausify,[status(thm)],[f_250_3]) ).

cnf(f_250_5,plain,
    ( U_875 = U_871
    | hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,U_877),U_875) != hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,U_873),U_871) ),
    inference(clausify,[status(thm)],[f_250_3]) ).

cnf(f_250_6,plain,
    ( hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,U_878),U_876) = hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,U_874),U_872)
    | U_876 != U_872
    | U_878 != U_874 ),
    inference(clausify,[status(thm)],[f_250_3]) ).

fof(f_251_1,plain,
    ! [A,B,A_3,B_3] :
      ( ( hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,A),B) = hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,A_3),B_3)
        | B != B_3
        | A != A_3 )
      & ( ( B = B_3
          & A = A_3 )
        | hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,A),B) != hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,A_3),B_3) ) ),
    inference(fof_nnf,[status(thm)],[fact_109_Pair__eq]) ).

fof(f_251_2,plain,
    ! [U_882,U_881,U_880,U_879] :
      ( ( hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,U_882),U_881) = hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,U_880),U_879)
        | U_881 != U_879
        | U_882 != U_880 )
      & ( ( U_881 = U_879
          & U_882 = U_880 )
        | hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,U_882),U_881) != hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,U_880),U_879) ) ),
    inference(variable_rename,[status(thm)],[f_251_1]) ).

fof(f_251_3,plain,
    ( ! [U_890,U_888,U_886,U_884] :
        ( hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,U_890),U_888) = hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,U_886),U_884)
        | U_888 != U_884
        | U_890 != U_886 )
    & ! [U_889,U_887,U_885,U_883] :
        ( ( U_887 = U_883
          & U_889 = U_885 )
        | hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,U_889),U_887) != hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,U_885),U_883) ) ),
    inference(miniscope,[status(thm)],[f_251_2]) ).

cnf(f_251_4,plain,
    ( U_889 = U_885
    | hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,U_889),U_887) != hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,U_885),U_883) ),
    inference(clausify,[status(thm)],[f_251_3]) ).

cnf(f_251_5,plain,
    ( U_887 = U_883
    | hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,U_889),U_887) != hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,U_885),U_883) ),
    inference(clausify,[status(thm)],[f_251_3]) ).

cnf(f_251_6,plain,
    ( hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,U_890),U_888) = hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,U_886),U_884)
    | U_888 != U_884
    | U_890 != U_886 ),
    inference(clausify,[status(thm)],[f_251_3]) ).

fof(f_252_1,plain,
    ! [A,B,A_3,B_3] :
      ( ( hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,A),B) = hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,A_3),B_3)
        | B != B_3
        | A != A_3 )
      & ( ( B = B_3
          & A = A_3 )
        | hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,A),B) != hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,A_3),B_3) ) ),
    inference(fof_nnf,[status(thm)],[fact_110_Pair__eq]) ).

fof(f_252_2,plain,
    ! [U_894,U_893,U_892,U_891] :
      ( ( hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,U_894),U_893) = hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,U_892),U_891)
        | U_893 != U_891
        | U_894 != U_892 )
      & ( ( U_893 = U_891
          & U_894 = U_892 )
        | hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,U_894),U_893) != hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,U_892),U_891) ) ),
    inference(variable_rename,[status(thm)],[f_252_1]) ).

fof(f_252_3,plain,
    ( ! [U_902,U_900,U_898,U_896] :
        ( hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,U_902),U_900) = hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,U_898),U_896)
        | U_900 != U_896
        | U_902 != U_898 )
    & ! [U_901,U_899,U_897,U_895] :
        ( ( U_899 = U_895
          & U_901 = U_897 )
        | hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,U_901),U_899) != hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,U_897),U_895) ) ),
    inference(miniscope,[status(thm)],[f_252_2]) ).

cnf(f_252_4,plain,
    ( U_901 = U_897
    | hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,U_901),U_899) != hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,U_897),U_895) ),
    inference(clausify,[status(thm)],[f_252_3]) ).

cnf(f_252_5,plain,
    ( U_899 = U_895
    | hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,U_901),U_899) != hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,U_897),U_895) ),
    inference(clausify,[status(thm)],[f_252_3]) ).

cnf(f_252_6,plain,
    ( hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,U_902),U_900) = hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,U_898),U_896)
    | U_900 != U_896
    | U_902 != U_898 ),
    inference(clausify,[status(thm)],[f_252_3]) ).

fof(f_253_1,plain,
    ! [A,B,A_3,B_3] :
      ( ( hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,A),B) = hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,A_3),B_3)
        | B != B_3
        | A != A_3 )
      & ( ( B = B_3
          & A = A_3 )
        | hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,A),B) != hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,A_3),B_3) ) ),
    inference(fof_nnf,[status(thm)],[fact_111_Pair__eq]) ).

fof(f_253_2,plain,
    ! [U_906,U_905,U_904,U_903] :
      ( ( hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,U_906),U_905) = hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,U_904),U_903)
        | U_905 != U_903
        | U_906 != U_904 )
      & ( ( U_905 = U_903
          & U_906 = U_904 )
        | hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,U_906),U_905) != hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,U_904),U_903) ) ),
    inference(variable_rename,[status(thm)],[f_253_1]) ).

fof(f_253_3,plain,
    ( ! [U_914,U_912,U_910,U_908] :
        ( hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,U_914),U_912) = hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,U_910),U_908)
        | U_912 != U_908
        | U_914 != U_910 )
    & ! [U_913,U_911,U_909,U_907] :
        ( ( U_911 = U_907
          & U_913 = U_909 )
        | hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,U_913),U_911) != hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,U_909),U_907) ) ),
    inference(miniscope,[status(thm)],[f_253_2]) ).

cnf(f_253_4,plain,
    ( U_913 = U_909
    | hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,U_913),U_911) != hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,U_909),U_907) ),
    inference(clausify,[status(thm)],[f_253_3]) ).

cnf(f_253_5,plain,
    ( U_911 = U_907
    | hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,U_913),U_911) != hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,U_909),U_907) ),
    inference(clausify,[status(thm)],[f_253_3]) ).

cnf(f_253_6,plain,
    ( hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,U_914),U_912) = hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,U_910),U_908)
    | U_912 != U_908
    | U_914 != U_910 ),
    inference(clausify,[status(thm)],[f_253_3]) ).

fof(f_254_1,plain,
    ! [A,B,A_3,B_3] :
      ( ( hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,A),B) = hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,A_3),B_3)
        | B != B_3
        | A != A_3 )
      & ( ( B = B_3
          & A = A_3 )
        | hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,A),B) != hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,A_3),B_3) ) ),
    inference(fof_nnf,[status(thm)],[fact_112_Pair__eq]) ).

fof(f_254_2,plain,
    ! [U_918,U_917,U_916,U_915] :
      ( ( hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,U_918),U_917) = hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,U_916),U_915)
        | U_917 != U_915
        | U_918 != U_916 )
      & ( ( U_917 = U_915
          & U_918 = U_916 )
        | hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,U_918),U_917) != hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,U_916),U_915) ) ),
    inference(variable_rename,[status(thm)],[f_254_1]) ).

fof(f_254_3,plain,
    ( ! [U_926,U_924,U_922,U_920] :
        ( hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,U_926),U_924) = hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,U_922),U_920)
        | U_924 != U_920
        | U_926 != U_922 )
    & ! [U_925,U_923,U_921,U_919] :
        ( ( U_923 = U_919
          & U_925 = U_921 )
        | hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,U_925),U_923) != hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,U_921),U_919) ) ),
    inference(miniscope,[status(thm)],[f_254_2]) ).

cnf(f_254_4,plain,
    ( U_925 = U_921
    | hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,U_925),U_923) != hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,U_921),U_919) ),
    inference(clausify,[status(thm)],[f_254_3]) ).

cnf(f_254_5,plain,
    ( U_923 = U_919
    | hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,U_925),U_923) != hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,U_921),U_919) ),
    inference(clausify,[status(thm)],[f_254_3]) ).

cnf(f_254_6,plain,
    ( hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,U_926),U_924) = hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,U_922),U_920)
    | U_924 != U_920
    | U_926 != U_922 ),
    inference(clausify,[status(thm)],[f_254_3]) ).

fof(f_255_1,plain,
    ! [A,B,A_3,B_3] :
      ( ( hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,A),B) = hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,A_3),B_3)
        | B != B_3
        | A != A_3 )
      & ( ( B = B_3
          & A = A_3 )
        | hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,A),B) != hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,A_3),B_3) ) ),
    inference(fof_nnf,[status(thm)],[fact_113_Pair__eq]) ).

fof(f_255_2,plain,
    ! [U_930,U_929,U_928,U_927] :
      ( ( hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,U_930),U_929) = hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,U_928),U_927)
        | U_929 != U_927
        | U_930 != U_928 )
      & ( ( U_929 = U_927
          & U_930 = U_928 )
        | hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,U_930),U_929) != hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,U_928),U_927) ) ),
    inference(variable_rename,[status(thm)],[f_255_1]) ).

fof(f_255_3,plain,
    ( ! [U_938,U_936,U_934,U_932] :
        ( hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,U_938),U_936) = hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,U_934),U_932)
        | U_936 != U_932
        | U_938 != U_934 )
    & ! [U_937,U_935,U_933,U_931] :
        ( ( U_935 = U_931
          & U_937 = U_933 )
        | hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,U_937),U_935) != hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,U_933),U_931) ) ),
    inference(miniscope,[status(thm)],[f_255_2]) ).

cnf(f_255_4,plain,
    ( U_937 = U_933
    | hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,U_937),U_935) != hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,U_933),U_931) ),
    inference(clausify,[status(thm)],[f_255_3]) ).

cnf(f_255_5,plain,
    ( U_935 = U_931
    | hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,U_937),U_935) != hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,U_933),U_931) ),
    inference(clausify,[status(thm)],[f_255_3]) ).

cnf(f_255_6,plain,
    ( hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,U_938),U_936) = hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,U_934),U_932)
    | U_936 != U_932
    | U_938 != U_934 ),
    inference(clausify,[status(thm)],[f_255_3]) ).

fof(f_256_1,plain,
    ! [A,B,A_3,B_3] :
      ( ( hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,A),B) = hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,A_3),B_3)
        | B != B_3
        | A != A_3 )
      & ( ( B = B_3
          & A = A_3 )
        | hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,A),B) != hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,A_3),B_3) ) ),
    inference(fof_nnf,[status(thm)],[fact_114_Pair__eq]) ).

fof(f_256_2,plain,
    ! [U_942,U_941,U_940,U_939] :
      ( ( hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,U_942),U_941) = hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,U_940),U_939)
        | U_941 != U_939
        | U_942 != U_940 )
      & ( ( U_941 = U_939
          & U_942 = U_940 )
        | hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,U_942),U_941) != hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,U_940),U_939) ) ),
    inference(variable_rename,[status(thm)],[f_256_1]) ).

fof(f_256_3,plain,
    ( ! [U_950,U_948,U_946,U_944] :
        ( hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,U_950),U_948) = hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,U_946),U_944)
        | U_948 != U_944
        | U_950 != U_946 )
    & ! [U_949,U_947,U_945,U_943] :
        ( ( U_947 = U_943
          & U_949 = U_945 )
        | hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,U_949),U_947) != hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,U_945),U_943) ) ),
    inference(miniscope,[status(thm)],[f_256_2]) ).

cnf(f_256_4,plain,
    ( U_949 = U_945
    | hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,U_949),U_947) != hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,U_945),U_943) ),
    inference(clausify,[status(thm)],[f_256_3]) ).

cnf(f_256_5,plain,
    ( U_947 = U_943
    | hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,U_949),U_947) != hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,U_945),U_943) ),
    inference(clausify,[status(thm)],[f_256_3]) ).

cnf(f_256_6,plain,
    ( hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,U_950),U_948) = hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,U_946),U_944)
    | U_948 != U_944
    | U_950 != U_946 ),
    inference(clausify,[status(thm)],[f_256_3]) ).

fof(f_257_1,plain,
    ! [A,B,A_3,B_3] :
      ( ( hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,A),B) = hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,A_3),B_3)
        | B != B_3
        | A != A_3 )
      & ( ( B = B_3
          & A = A_3 )
        | hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,A),B) != hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,A_3),B_3) ) ),
    inference(fof_nnf,[status(thm)],[fact_115_Pair__eq]) ).

fof(f_257_2,plain,
    ! [U_954,U_953,U_952,U_951] :
      ( ( hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,U_954),U_953) = hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,U_952),U_951)
        | U_953 != U_951
        | U_954 != U_952 )
      & ( ( U_953 = U_951
          & U_954 = U_952 )
        | hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,U_954),U_953) != hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,U_952),U_951) ) ),
    inference(variable_rename,[status(thm)],[f_257_1]) ).

fof(f_257_3,plain,
    ( ! [U_962,U_960,U_958,U_956] :
        ( hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,U_962),U_960) = hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,U_958),U_956)
        | U_960 != U_956
        | U_962 != U_958 )
    & ! [U_961,U_959,U_957,U_955] :
        ( ( U_959 = U_955
          & U_961 = U_957 )
        | hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,U_961),U_959) != hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,U_957),U_955) ) ),
    inference(miniscope,[status(thm)],[f_257_2]) ).

cnf(f_257_4,plain,
    ( U_961 = U_957
    | hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,U_961),U_959) != hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,U_957),U_955) ),
    inference(clausify,[status(thm)],[f_257_3]) ).

cnf(f_257_5,plain,
    ( U_959 = U_955
    | hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,U_961),U_959) != hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,U_957),U_955) ),
    inference(clausify,[status(thm)],[f_257_3]) ).

cnf(f_257_6,plain,
    ( hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,U_962),U_960) = hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,U_958),U_956)
    | U_960 != U_956
    | U_962 != U_958 ),
    inference(clausify,[status(thm)],[f_257_3]) ).

fof(f_258_1,plain,
    ! [A,B,A_3,B_3] :
      ( ( hAPP_l1648260346t_char(hAPP_l1105836155t_char(produc1237966615t_char,A),B) = hAPP_l1648260346t_char(hAPP_l1105836155t_char(produc1237966615t_char,A_3),B_3)
        | B != B_3
        | A != A_3 )
      & ( ( B = B_3
          & A = A_3 )
        | hAPP_l1648260346t_char(hAPP_l1105836155t_char(produc1237966615t_char,A),B) != hAPP_l1648260346t_char(hAPP_l1105836155t_char(produc1237966615t_char,A_3),B_3) ) ),
    inference(fof_nnf,[status(thm)],[fact_116_Pair__eq]) ).

fof(f_258_2,plain,
    ! [U_966,U_965,U_964,U_963] :
      ( ( hAPP_l1648260346t_char(hAPP_l1105836155t_char(produc1237966615t_char,U_966),U_965) = hAPP_l1648260346t_char(hAPP_l1105836155t_char(produc1237966615t_char,U_964),U_963)
        | U_965 != U_963
        | U_966 != U_964 )
      & ( ( U_965 = U_963
          & U_966 = U_964 )
        | hAPP_l1648260346t_char(hAPP_l1105836155t_char(produc1237966615t_char,U_966),U_965) != hAPP_l1648260346t_char(hAPP_l1105836155t_char(produc1237966615t_char,U_964),U_963) ) ),
    inference(variable_rename,[status(thm)],[f_258_1]) ).

fof(f_258_3,plain,
    ( ! [U_974,U_972,U_970,U_968] :
        ( hAPP_l1648260346t_char(hAPP_l1105836155t_char(produc1237966615t_char,U_974),U_972) = hAPP_l1648260346t_char(hAPP_l1105836155t_char(produc1237966615t_char,U_970),U_968)
        | U_972 != U_968
        | U_974 != U_970 )
    & ! [U_973,U_971,U_969,U_967] :
        ( ( U_971 = U_967
          & U_973 = U_969 )
        | hAPP_l1648260346t_char(hAPP_l1105836155t_char(produc1237966615t_char,U_973),U_971) != hAPP_l1648260346t_char(hAPP_l1105836155t_char(produc1237966615t_char,U_969),U_967) ) ),
    inference(miniscope,[status(thm)],[f_258_2]) ).

cnf(f_258_4,plain,
    ( U_973 = U_969
    | hAPP_l1648260346t_char(hAPP_l1105836155t_char(produc1237966615t_char,U_973),U_971) != hAPP_l1648260346t_char(hAPP_l1105836155t_char(produc1237966615t_char,U_969),U_967) ),
    inference(clausify,[status(thm)],[f_258_3]) ).

cnf(f_258_5,plain,
    ( U_971 = U_967
    | hAPP_l1648260346t_char(hAPP_l1105836155t_char(produc1237966615t_char,U_973),U_971) != hAPP_l1648260346t_char(hAPP_l1105836155t_char(produc1237966615t_char,U_969),U_967) ),
    inference(clausify,[status(thm)],[f_258_3]) ).

cnf(f_258_6,plain,
    ( hAPP_l1648260346t_char(hAPP_l1105836155t_char(produc1237966615t_char,U_974),U_972) = hAPP_l1648260346t_char(hAPP_l1105836155t_char(produc1237966615t_char,U_970),U_968)
    | U_972 != U_968
    | U_974 != U_970 ),
    inference(clausify,[status(thm)],[f_258_3]) ).

fof(f_259_1,plain,
    ! [A,B,A_3,B_3] :
      ( ( hAPP_e817857447t_char(hAPP_e1376201919t_char(produc943465171t_char,A),B) = hAPP_e817857447t_char(hAPP_e1376201919t_char(produc943465171t_char,A_3),B_3)
        | B != B_3
        | A != A_3 )
      & ( ( B = B_3
          & A = A_3 )
        | hAPP_e817857447t_char(hAPP_e1376201919t_char(produc943465171t_char,A),B) != hAPP_e817857447t_char(hAPP_e1376201919t_char(produc943465171t_char,A_3),B_3) ) ),
    inference(fof_nnf,[status(thm)],[fact_117_Pair__eq]) ).

fof(f_259_2,plain,
    ! [U_978,U_977,U_976,U_975] :
      ( ( hAPP_e817857447t_char(hAPP_e1376201919t_char(produc943465171t_char,U_978),U_977) = hAPP_e817857447t_char(hAPP_e1376201919t_char(produc943465171t_char,U_976),U_975)
        | U_977 != U_975
        | U_978 != U_976 )
      & ( ( U_977 = U_975
          & U_978 = U_976 )
        | hAPP_e817857447t_char(hAPP_e1376201919t_char(produc943465171t_char,U_978),U_977) != hAPP_e817857447t_char(hAPP_e1376201919t_char(produc943465171t_char,U_976),U_975) ) ),
    inference(variable_rename,[status(thm)],[f_259_1]) ).

fof(f_259_3,plain,
    ( ! [U_986,U_984,U_982,U_980] :
        ( hAPP_e817857447t_char(hAPP_e1376201919t_char(produc943465171t_char,U_986),U_984) = hAPP_e817857447t_char(hAPP_e1376201919t_char(produc943465171t_char,U_982),U_980)
        | U_984 != U_980
        | U_986 != U_982 )
    & ! [U_985,U_983,U_981,U_979] :
        ( ( U_983 = U_979
          & U_985 = U_981 )
        | hAPP_e817857447t_char(hAPP_e1376201919t_char(produc943465171t_char,U_985),U_983) != hAPP_e817857447t_char(hAPP_e1376201919t_char(produc943465171t_char,U_981),U_979) ) ),
    inference(miniscope,[status(thm)],[f_259_2]) ).

cnf(f_259_4,plain,
    ( U_985 = U_981
    | hAPP_e817857447t_char(hAPP_e1376201919t_char(produc943465171t_char,U_985),U_983) != hAPP_e817857447t_char(hAPP_e1376201919t_char(produc943465171t_char,U_981),U_979) ),
    inference(clausify,[status(thm)],[f_259_3]) ).

cnf(f_259_5,plain,
    ( U_983 = U_979
    | hAPP_e817857447t_char(hAPP_e1376201919t_char(produc943465171t_char,U_985),U_983) != hAPP_e817857447t_char(hAPP_e1376201919t_char(produc943465171t_char,U_981),U_979) ),
    inference(clausify,[status(thm)],[f_259_3]) ).

cnf(f_259_6,plain,
    ( hAPP_e817857447t_char(hAPP_e1376201919t_char(produc943465171t_char,U_986),U_984) = hAPP_e817857447t_char(hAPP_e1376201919t_char(produc943465171t_char,U_982),U_980)
    | U_984 != U_980
    | U_986 != U_982 ),
    inference(clausify,[status(thm)],[f_259_3]) ).

fof(f_260_1,plain,
    ! [A,B,A_3,B_3] :
      ( ( hAPP_l1883348915t_char(hAPP_l2019537453t_char(produc2035944023t_char,A),B) = hAPP_l1883348915t_char(hAPP_l2019537453t_char(produc2035944023t_char,A_3),B_3)
        | B != B_3
        | A != A_3 )
      & ( ( B = B_3
          & A = A_3 )
        | hAPP_l1883348915t_char(hAPP_l2019537453t_char(produc2035944023t_char,A),B) != hAPP_l1883348915t_char(hAPP_l2019537453t_char(produc2035944023t_char,A_3),B_3) ) ),
    inference(fof_nnf,[status(thm)],[fact_118_Pair__eq]) ).

fof(f_260_2,plain,
    ! [U_990,U_989,U_988,U_987] :
      ( ( hAPP_l1883348915t_char(hAPP_l2019537453t_char(produc2035944023t_char,U_990),U_989) = hAPP_l1883348915t_char(hAPP_l2019537453t_char(produc2035944023t_char,U_988),U_987)
        | U_989 != U_987
        | U_990 != U_988 )
      & ( ( U_989 = U_987
          & U_990 = U_988 )
        | hAPP_l1883348915t_char(hAPP_l2019537453t_char(produc2035944023t_char,U_990),U_989) != hAPP_l1883348915t_char(hAPP_l2019537453t_char(produc2035944023t_char,U_988),U_987) ) ),
    inference(variable_rename,[status(thm)],[f_260_1]) ).

fof(f_260_3,plain,
    ( ! [U_998,U_996,U_994,U_992] :
        ( hAPP_l1883348915t_char(hAPP_l2019537453t_char(produc2035944023t_char,U_998),U_996) = hAPP_l1883348915t_char(hAPP_l2019537453t_char(produc2035944023t_char,U_994),U_992)
        | U_996 != U_992
        | U_998 != U_994 )
    & ! [U_997,U_995,U_993,U_991] :
        ( ( U_995 = U_991
          & U_997 = U_993 )
        | hAPP_l1883348915t_char(hAPP_l2019537453t_char(produc2035944023t_char,U_997),U_995) != hAPP_l1883348915t_char(hAPP_l2019537453t_char(produc2035944023t_char,U_993),U_991) ) ),
    inference(miniscope,[status(thm)],[f_260_2]) ).

cnf(f_260_4,plain,
    ( U_997 = U_993
    | hAPP_l1883348915t_char(hAPP_l2019537453t_char(produc2035944023t_char,U_997),U_995) != hAPP_l1883348915t_char(hAPP_l2019537453t_char(produc2035944023t_char,U_993),U_991) ),
    inference(clausify,[status(thm)],[f_260_3]) ).

cnf(f_260_5,plain,
    ( U_995 = U_991
    | hAPP_l1883348915t_char(hAPP_l2019537453t_char(produc2035944023t_char,U_997),U_995) != hAPP_l1883348915t_char(hAPP_l2019537453t_char(produc2035944023t_char,U_993),U_991) ),
    inference(clausify,[status(thm)],[f_260_3]) ).

cnf(f_260_6,plain,
    ( hAPP_l1883348915t_char(hAPP_l2019537453t_char(produc2035944023t_char,U_998),U_996) = hAPP_l1883348915t_char(hAPP_l2019537453t_char(produc2035944023t_char,U_994),U_992)
    | U_996 != U_992
    | U_998 != U_994 ),
    inference(clausify,[status(thm)],[f_260_3]) ).

fof(f_261_1,plain,
    ! [A,B,A_3,B_3] :
      ( ( hAPP_l1294856089har_ty(hAPP_l1657578379har_ty(produc1860789535har_ty,A),B) = hAPP_l1294856089har_ty(hAPP_l1657578379har_ty(produc1860789535har_ty,A_3),B_3)
        | B != B_3
        | A != A_3 )
      & ( ( B = B_3
          & A = A_3 )
        | hAPP_l1294856089har_ty(hAPP_l1657578379har_ty(produc1860789535har_ty,A),B) != hAPP_l1294856089har_ty(hAPP_l1657578379har_ty(produc1860789535har_ty,A_3),B_3) ) ),
    inference(fof_nnf,[status(thm)],[fact_119_Pair__eq]) ).

fof(f_261_2,plain,
    ! [U_1002,U_1001,U_1000,U_999] :
      ( ( hAPP_l1294856089har_ty(hAPP_l1657578379har_ty(produc1860789535har_ty,U_1002),U_1001) = hAPP_l1294856089har_ty(hAPP_l1657578379har_ty(produc1860789535har_ty,U_1000),U_999)
        | U_1001 != U_999
        | U_1002 != U_1000 )
      & ( ( U_1001 = U_999
          & U_1002 = U_1000 )
        | hAPP_l1294856089har_ty(hAPP_l1657578379har_ty(produc1860789535har_ty,U_1002),U_1001) != hAPP_l1294856089har_ty(hAPP_l1657578379har_ty(produc1860789535har_ty,U_1000),U_999) ) ),
    inference(variable_rename,[status(thm)],[f_261_1]) ).

fof(f_261_3,plain,
    ( ! [U_1010,U_1008,U_1006,U_1004] :
        ( hAPP_l1294856089har_ty(hAPP_l1657578379har_ty(produc1860789535har_ty,U_1010),U_1008) = hAPP_l1294856089har_ty(hAPP_l1657578379har_ty(produc1860789535har_ty,U_1006),U_1004)
        | U_1008 != U_1004
        | U_1010 != U_1006 )
    & ! [U_1009,U_1007,U_1005,U_1003] :
        ( ( U_1007 = U_1003
          & U_1009 = U_1005 )
        | hAPP_l1294856089har_ty(hAPP_l1657578379har_ty(produc1860789535har_ty,U_1009),U_1007) != hAPP_l1294856089har_ty(hAPP_l1657578379har_ty(produc1860789535har_ty,U_1005),U_1003) ) ),
    inference(miniscope,[status(thm)],[f_261_2]) ).

cnf(f_261_4,plain,
    ( U_1009 = U_1005
    | hAPP_l1294856089har_ty(hAPP_l1657578379har_ty(produc1860789535har_ty,U_1009),U_1007) != hAPP_l1294856089har_ty(hAPP_l1657578379har_ty(produc1860789535har_ty,U_1005),U_1003) ),
    inference(clausify,[status(thm)],[f_261_3]) ).

cnf(f_261_5,plain,
    ( U_1007 = U_1003
    | hAPP_l1294856089har_ty(hAPP_l1657578379har_ty(produc1860789535har_ty,U_1009),U_1007) != hAPP_l1294856089har_ty(hAPP_l1657578379har_ty(produc1860789535har_ty,U_1005),U_1003) ),
    inference(clausify,[status(thm)],[f_261_3]) ).

cnf(f_261_6,plain,
    ( hAPP_l1294856089har_ty(hAPP_l1657578379har_ty(produc1860789535har_ty,U_1010),U_1008) = hAPP_l1294856089har_ty(hAPP_l1657578379har_ty(produc1860789535har_ty,U_1006),U_1004)
    | U_1008 != U_1004
    | U_1010 != U_1006 ),
    inference(clausify,[status(thm)],[f_261_3]) ).

fof(f_262_1,plain,
    ! [A,B,A_3,B_3] :
      ( ( hAPP_l1334098948t_char(hAPP_l1450984463t_char(produc436875159t_char,A),B) = hAPP_l1334098948t_char(hAPP_l1450984463t_char(produc436875159t_char,A_3),B_3)
        | B != B_3
        | A != A_3 )
      & ( ( B = B_3
          & A = A_3 )
        | hAPP_l1334098948t_char(hAPP_l1450984463t_char(produc436875159t_char,A),B) != hAPP_l1334098948t_char(hAPP_l1450984463t_char(produc436875159t_char,A_3),B_3) ) ),
    inference(fof_nnf,[status(thm)],[fact_120_Pair__eq]) ).

fof(f_262_2,plain,
    ! [U_1014,U_1013,U_1012,U_1011] :
      ( ( hAPP_l1334098948t_char(hAPP_l1450984463t_char(produc436875159t_char,U_1014),U_1013) = hAPP_l1334098948t_char(hAPP_l1450984463t_char(produc436875159t_char,U_1012),U_1011)
        | U_1013 != U_1011
        | U_1014 != U_1012 )
      & ( ( U_1013 = U_1011
          & U_1014 = U_1012 )
        | hAPP_l1334098948t_char(hAPP_l1450984463t_char(produc436875159t_char,U_1014),U_1013) != hAPP_l1334098948t_char(hAPP_l1450984463t_char(produc436875159t_char,U_1012),U_1011) ) ),
    inference(variable_rename,[status(thm)],[f_262_1]) ).

fof(f_262_3,plain,
    ( ! [U_1022,U_1020,U_1018,U_1016] :
        ( hAPP_l1334098948t_char(hAPP_l1450984463t_char(produc436875159t_char,U_1022),U_1020) = hAPP_l1334098948t_char(hAPP_l1450984463t_char(produc436875159t_char,U_1018),U_1016)
        | U_1020 != U_1016
        | U_1022 != U_1018 )
    & ! [U_1021,U_1019,U_1017,U_1015] :
        ( ( U_1019 = U_1015
          & U_1021 = U_1017 )
        | hAPP_l1334098948t_char(hAPP_l1450984463t_char(produc436875159t_char,U_1021),U_1019) != hAPP_l1334098948t_char(hAPP_l1450984463t_char(produc436875159t_char,U_1017),U_1015) ) ),
    inference(miniscope,[status(thm)],[f_262_2]) ).

cnf(f_262_4,plain,
    ( U_1021 = U_1017
    | hAPP_l1334098948t_char(hAPP_l1450984463t_char(produc436875159t_char,U_1021),U_1019) != hAPP_l1334098948t_char(hAPP_l1450984463t_char(produc436875159t_char,U_1017),U_1015) ),
    inference(clausify,[status(thm)],[f_262_3]) ).

cnf(f_262_5,plain,
    ( U_1019 = U_1015
    | hAPP_l1334098948t_char(hAPP_l1450984463t_char(produc436875159t_char,U_1021),U_1019) != hAPP_l1334098948t_char(hAPP_l1450984463t_char(produc436875159t_char,U_1017),U_1015) ),
    inference(clausify,[status(thm)],[f_262_3]) ).

cnf(f_262_6,plain,
    ( hAPP_l1334098948t_char(hAPP_l1450984463t_char(produc436875159t_char,U_1022),U_1020) = hAPP_l1334098948t_char(hAPP_l1450984463t_char(produc436875159t_char,U_1018),U_1016)
    | U_1020 != U_1016
    | U_1022 != U_1018 ),
    inference(clausify,[status(thm)],[f_262_3]) ).

fof(f_263_1,plain,
    ! [A,B,A_3,B_3] :
      ( ( hAPP_l1249476511st_val(hAPP_l103437071st_val(produc2078839843st_val,A),B) = hAPP_l1249476511st_val(hAPP_l103437071st_val(produc2078839843st_val,A_3),B_3)
        | B != B_3
        | A != A_3 )
      & ( ( B = B_3
          & A = A_3 )
        | hAPP_l1249476511st_val(hAPP_l103437071st_val(produc2078839843st_val,A),B) != hAPP_l1249476511st_val(hAPP_l103437071st_val(produc2078839843st_val,A_3),B_3) ) ),
    inference(fof_nnf,[status(thm)],[fact_121_Pair__eq]) ).

fof(f_263_2,plain,
    ! [U_1026,U_1025,U_1024,U_1023] :
      ( ( hAPP_l1249476511st_val(hAPP_l103437071st_val(produc2078839843st_val,U_1026),U_1025) = hAPP_l1249476511st_val(hAPP_l103437071st_val(produc2078839843st_val,U_1024),U_1023)
        | U_1025 != U_1023
        | U_1026 != U_1024 )
      & ( ( U_1025 = U_1023
          & U_1026 = U_1024 )
        | hAPP_l1249476511st_val(hAPP_l103437071st_val(produc2078839843st_val,U_1026),U_1025) != hAPP_l1249476511st_val(hAPP_l103437071st_val(produc2078839843st_val,U_1024),U_1023) ) ),
    inference(variable_rename,[status(thm)],[f_263_1]) ).

fof(f_263_3,plain,
    ( ! [U_1034,U_1032,U_1030,U_1028] :
        ( hAPP_l1249476511st_val(hAPP_l103437071st_val(produc2078839843st_val,U_1034),U_1032) = hAPP_l1249476511st_val(hAPP_l103437071st_val(produc2078839843st_val,U_1030),U_1028)
        | U_1032 != U_1028
        | U_1034 != U_1030 )
    & ! [U_1033,U_1031,U_1029,U_1027] :
        ( ( U_1031 = U_1027
          & U_1033 = U_1029 )
        | hAPP_l1249476511st_val(hAPP_l103437071st_val(produc2078839843st_val,U_1033),U_1031) != hAPP_l1249476511st_val(hAPP_l103437071st_val(produc2078839843st_val,U_1029),U_1027) ) ),
    inference(miniscope,[status(thm)],[f_263_2]) ).

cnf(f_263_4,plain,
    ( U_1033 = U_1029
    | hAPP_l1249476511st_val(hAPP_l103437071st_val(produc2078839843st_val,U_1033),U_1031) != hAPP_l1249476511st_val(hAPP_l103437071st_val(produc2078839843st_val,U_1029),U_1027) ),
    inference(clausify,[status(thm)],[f_263_3]) ).

cnf(f_263_5,plain,
    ( U_1031 = U_1027
    | hAPP_l1249476511st_val(hAPP_l103437071st_val(produc2078839843st_val,U_1033),U_1031) != hAPP_l1249476511st_val(hAPP_l103437071st_val(produc2078839843st_val,U_1029),U_1027) ),
    inference(clausify,[status(thm)],[f_263_3]) ).

cnf(f_263_6,plain,
    ( hAPP_l1249476511st_val(hAPP_l103437071st_val(produc2078839843st_val,U_1034),U_1032) = hAPP_l1249476511st_val(hAPP_l103437071st_val(produc2078839843st_val,U_1030),U_1028)
    | U_1032 != U_1028
    | U_1034 != U_1030 ),
    inference(clausify,[status(thm)],[f_263_3]) ).

fof(f_264_1,plain,
    ! [A,B,A_3,B_3] :
      ( ( hAPP_l1319068228ist_ty(hAPP_l1770520637ist_ty(produc512429457ist_ty,A),B) = hAPP_l1319068228ist_ty(hAPP_l1770520637ist_ty(produc512429457ist_ty,A_3),B_3)
        | B != B_3
        | A != A_3 )
      & ( ( B = B_3
          & A = A_3 )
        | hAPP_l1319068228ist_ty(hAPP_l1770520637ist_ty(produc512429457ist_ty,A),B) != hAPP_l1319068228ist_ty(hAPP_l1770520637ist_ty(produc512429457ist_ty,A_3),B_3) ) ),
    inference(fof_nnf,[status(thm)],[fact_122_Pair__eq]) ).

fof(f_264_2,plain,
    ! [U_1038,U_1037,U_1036,U_1035] :
      ( ( hAPP_l1319068228ist_ty(hAPP_l1770520637ist_ty(produc512429457ist_ty,U_1038),U_1037) = hAPP_l1319068228ist_ty(hAPP_l1770520637ist_ty(produc512429457ist_ty,U_1036),U_1035)
        | U_1037 != U_1035
        | U_1038 != U_1036 )
      & ( ( U_1037 = U_1035
          & U_1038 = U_1036 )
        | hAPP_l1319068228ist_ty(hAPP_l1770520637ist_ty(produc512429457ist_ty,U_1038),U_1037) != hAPP_l1319068228ist_ty(hAPP_l1770520637ist_ty(produc512429457ist_ty,U_1036),U_1035) ) ),
    inference(variable_rename,[status(thm)],[f_264_1]) ).

fof(f_264_3,plain,
    ( ! [U_1046,U_1044,U_1042,U_1040] :
        ( hAPP_l1319068228ist_ty(hAPP_l1770520637ist_ty(produc512429457ist_ty,U_1046),U_1044) = hAPP_l1319068228ist_ty(hAPP_l1770520637ist_ty(produc512429457ist_ty,U_1042),U_1040)
        | U_1044 != U_1040
        | U_1046 != U_1042 )
    & ! [U_1045,U_1043,U_1041,U_1039] :
        ( ( U_1043 = U_1039
          & U_1045 = U_1041 )
        | hAPP_l1319068228ist_ty(hAPP_l1770520637ist_ty(produc512429457ist_ty,U_1045),U_1043) != hAPP_l1319068228ist_ty(hAPP_l1770520637ist_ty(produc512429457ist_ty,U_1041),U_1039) ) ),
    inference(miniscope,[status(thm)],[f_264_2]) ).

cnf(f_264_4,plain,
    ( U_1045 = U_1041
    | hAPP_l1319068228ist_ty(hAPP_l1770520637ist_ty(produc512429457ist_ty,U_1045),U_1043) != hAPP_l1319068228ist_ty(hAPP_l1770520637ist_ty(produc512429457ist_ty,U_1041),U_1039) ),
    inference(clausify,[status(thm)],[f_264_3]) ).

cnf(f_264_5,plain,
    ( U_1043 = U_1039
    | hAPP_l1319068228ist_ty(hAPP_l1770520637ist_ty(produc512429457ist_ty,U_1045),U_1043) != hAPP_l1319068228ist_ty(hAPP_l1770520637ist_ty(produc512429457ist_ty,U_1041),U_1039) ),
    inference(clausify,[status(thm)],[f_264_3]) ).

cnf(f_264_6,plain,
    ( hAPP_l1319068228ist_ty(hAPP_l1770520637ist_ty(produc512429457ist_ty,U_1046),U_1044) = hAPP_l1319068228ist_ty(hAPP_l1770520637ist_ty(produc512429457ist_ty,U_1042),U_1040)
    | U_1044 != U_1040
    | U_1046 != U_1042 ),
    inference(clausify,[status(thm)],[f_264_3]) ).

fof(f_265_1,plain,
    ! [A,B,A_3,B_3] :
      ( ( ( hAPP_b1909667208op_bop(hAPP_b1058859669op_bop(product_Pair_bop_bop,A),B) = hAPP_b1909667208op_bop(hAPP_b1058859669op_bop(product_Pair_bop_bop,A_3),B_3)
          | B != B_3
          | A != A_3 )
        & ( ( B = B_3
            & A = A_3 )
          | hAPP_b1909667208op_bop(hAPP_b1058859669op_bop(product_Pair_bop_bop,A),B) != hAPP_b1909667208op_bop(hAPP_b1058859669op_bop(product_Pair_bop_bop,A_3),B_3) ) )
      | ~ is_bop(B_3)
      | ~ is_bop(A_3)
      | ~ is_bop(B)
      | ~ is_bop(A) ),
    inference(fof_nnf,[status(thm)],[fact_123_Pair__eq]) ).

fof(f_265_2,plain,
    ! [U_1050,U_1049,U_1048,U_1047] :
      ( ( ( hAPP_b1909667208op_bop(hAPP_b1058859669op_bop(product_Pair_bop_bop,U_1050),U_1049) = hAPP_b1909667208op_bop(hAPP_b1058859669op_bop(product_Pair_bop_bop,U_1048),U_1047)
          | U_1049 != U_1047
          | U_1050 != U_1048 )
        & ( ( U_1049 = U_1047
            & U_1050 = U_1048 )
          | hAPP_b1909667208op_bop(hAPP_b1058859669op_bop(product_Pair_bop_bop,U_1050),U_1049) != hAPP_b1909667208op_bop(hAPP_b1058859669op_bop(product_Pair_bop_bop,U_1048),U_1047) ) )
      | ~ is_bop(U_1047)
      | ~ is_bop(U_1048)
      | ~ is_bop(U_1049)
      | ~ is_bop(U_1050) ),
    inference(variable_rename,[status(thm)],[f_265_1]) ).

cnf(f_265_3,plain,
    ( U_1050 = U_1048
    | hAPP_b1909667208op_bop(hAPP_b1058859669op_bop(product_Pair_bop_bop,U_1050),U_1049) != hAPP_b1909667208op_bop(hAPP_b1058859669op_bop(product_Pair_bop_bop,U_1048),U_1047)
    | ~ is_bop(U_1047)
    | ~ is_bop(U_1048)
    | ~ is_bop(U_1049)
    | ~ is_bop(U_1050) ),
    inference(clausify,[status(thm)],[f_265_2]) ).

cnf(f_265_4,plain,
    ( U_1049 = U_1047
    | hAPP_b1909667208op_bop(hAPP_b1058859669op_bop(product_Pair_bop_bop,U_1050),U_1049) != hAPP_b1909667208op_bop(hAPP_b1058859669op_bop(product_Pair_bop_bop,U_1048),U_1047)
    | ~ is_bop(U_1047)
    | ~ is_bop(U_1048)
    | ~ is_bop(U_1049)
    | ~ is_bop(U_1050) ),
    inference(clausify,[status(thm)],[f_265_2]) ).

cnf(f_265_5,plain,
    ( hAPP_b1909667208op_bop(hAPP_b1058859669op_bop(product_Pair_bop_bop,U_1050),U_1049) = hAPP_b1909667208op_bop(hAPP_b1058859669op_bop(product_Pair_bop_bop,U_1048),U_1047)
    | U_1049 != U_1047
    | U_1050 != U_1048
    | ~ is_bop(U_1047)
    | ~ is_bop(U_1048)
    | ~ is_bop(U_1049)
    | ~ is_bop(U_1050) ),
    inference(clausify,[status(thm)],[f_265_2]) ).

fof(f_266_1,plain,
    ! [A,B,A_3,B_3] :
      ( ( hAPP_f1146435765on_val(hAPP_f1744304433on_val(produc1618304727on_val,A),B) = hAPP_f1146435765on_val(hAPP_f1744304433on_val(produc1618304727on_val,A_3),B_3)
        | B != B_3
        | A != A_3 )
      & ( ( B = B_3
          & A = A_3 )
        | hAPP_f1146435765on_val(hAPP_f1744304433on_val(produc1618304727on_val,A),B) != hAPP_f1146435765on_val(hAPP_f1744304433on_val(produc1618304727on_val,A_3),B_3) ) ),
    inference(fof_nnf,[status(thm)],[fact_124_Pair__eq]) ).

fof(f_266_2,plain,
    ! [U_1054,U_1053,U_1052,U_1051] :
      ( ( hAPP_f1146435765on_val(hAPP_f1744304433on_val(produc1618304727on_val,U_1054),U_1053) = hAPP_f1146435765on_val(hAPP_f1744304433on_val(produc1618304727on_val,U_1052),U_1051)
        | U_1053 != U_1051
        | U_1054 != U_1052 )
      & ( ( U_1053 = U_1051
          & U_1054 = U_1052 )
        | hAPP_f1146435765on_val(hAPP_f1744304433on_val(produc1618304727on_val,U_1054),U_1053) != hAPP_f1146435765on_val(hAPP_f1744304433on_val(produc1618304727on_val,U_1052),U_1051) ) ),
    inference(variable_rename,[status(thm)],[f_266_1]) ).

fof(f_266_3,plain,
    ( ! [U_1062,U_1060,U_1058,U_1056] :
        ( hAPP_f1146435765on_val(hAPP_f1744304433on_val(produc1618304727on_val,U_1062),U_1060) = hAPP_f1146435765on_val(hAPP_f1744304433on_val(produc1618304727on_val,U_1058),U_1056)
        | U_1060 != U_1056
        | U_1062 != U_1058 )
    & ! [U_1061,U_1059,U_1057,U_1055] :
        ( ( U_1059 = U_1055
          & U_1061 = U_1057 )
        | hAPP_f1146435765on_val(hAPP_f1744304433on_val(produc1618304727on_val,U_1061),U_1059) != hAPP_f1146435765on_val(hAPP_f1744304433on_val(produc1618304727on_val,U_1057),U_1055) ) ),
    inference(miniscope,[status(thm)],[f_266_2]) ).

cnf(f_266_4,plain,
    ( U_1061 = U_1057
    | hAPP_f1146435765on_val(hAPP_f1744304433on_val(produc1618304727on_val,U_1061),U_1059) != hAPP_f1146435765on_val(hAPP_f1744304433on_val(produc1618304727on_val,U_1057),U_1055) ),
    inference(clausify,[status(thm)],[f_266_3]) ).

cnf(f_266_5,plain,
    ( U_1059 = U_1055
    | hAPP_f1146435765on_val(hAPP_f1744304433on_val(produc1618304727on_val,U_1061),U_1059) != hAPP_f1146435765on_val(hAPP_f1744304433on_val(produc1618304727on_val,U_1057),U_1055) ),
    inference(clausify,[status(thm)],[f_266_3]) ).

cnf(f_266_6,plain,
    ( hAPP_f1146435765on_val(hAPP_f1744304433on_val(produc1618304727on_val,U_1062),U_1060) = hAPP_f1146435765on_val(hAPP_f1744304433on_val(produc1618304727on_val,U_1058),U_1056)
    | U_1060 != U_1056
    | U_1062 != U_1058 ),
    inference(clausify,[status(thm)],[f_266_3]) ).

fof(f_267_1,plain,
    ! [A,B,A_3,B_3] :
      ( ( hAPP_f368284312on_val(hAPP_f1805337205on_val(produc1712663241on_val,A),B) = hAPP_f368284312on_val(hAPP_f1805337205on_val(produc1712663241on_val,A_3),B_3)
        | B != B_3
        | A != A_3 )
      & ( ( B = B_3
          & A = A_3 )
        | hAPP_f368284312on_val(hAPP_f1805337205on_val(produc1712663241on_val,A),B) != hAPP_f368284312on_val(hAPP_f1805337205on_val(produc1712663241on_val,A_3),B_3) ) ),
    inference(fof_nnf,[status(thm)],[fact_125_Pair__eq]) ).

fof(f_267_2,plain,
    ! [U_1066,U_1065,U_1064,U_1063] :
      ( ( hAPP_f368284312on_val(hAPP_f1805337205on_val(produc1712663241on_val,U_1066),U_1065) = hAPP_f368284312on_val(hAPP_f1805337205on_val(produc1712663241on_val,U_1064),U_1063)
        | U_1065 != U_1063
        | U_1066 != U_1064 )
      & ( ( U_1065 = U_1063
          & U_1066 = U_1064 )
        | hAPP_f368284312on_val(hAPP_f1805337205on_val(produc1712663241on_val,U_1066),U_1065) != hAPP_f368284312on_val(hAPP_f1805337205on_val(produc1712663241on_val,U_1064),U_1063) ) ),
    inference(variable_rename,[status(thm)],[f_267_1]) ).

fof(f_267_3,plain,
    ( ! [U_1074,U_1072,U_1070,U_1068] :
        ( hAPP_f368284312on_val(hAPP_f1805337205on_val(produc1712663241on_val,U_1074),U_1072) = hAPP_f368284312on_val(hAPP_f1805337205on_val(produc1712663241on_val,U_1070),U_1068)
        | U_1072 != U_1068
        | U_1074 != U_1070 )
    & ! [U_1073,U_1071,U_1069,U_1067] :
        ( ( U_1071 = U_1067
          & U_1073 = U_1069 )
        | hAPP_f368284312on_val(hAPP_f1805337205on_val(produc1712663241on_val,U_1073),U_1071) != hAPP_f368284312on_val(hAPP_f1805337205on_val(produc1712663241on_val,U_1069),U_1067) ) ),
    inference(miniscope,[status(thm)],[f_267_2]) ).

cnf(f_267_4,plain,
    ( U_1073 = U_1069
    | hAPP_f368284312on_val(hAPP_f1805337205on_val(produc1712663241on_val,U_1073),U_1071) != hAPP_f368284312on_val(hAPP_f1805337205on_val(produc1712663241on_val,U_1069),U_1067) ),
    inference(clausify,[status(thm)],[f_267_3]) ).

cnf(f_267_5,plain,
    ( U_1071 = U_1067
    | hAPP_f368284312on_val(hAPP_f1805337205on_val(produc1712663241on_val,U_1073),U_1071) != hAPP_f368284312on_val(hAPP_f1805337205on_val(produc1712663241on_val,U_1069),U_1067) ),
    inference(clausify,[status(thm)],[f_267_3]) ).

cnf(f_267_6,plain,
    ( hAPP_f368284312on_val(hAPP_f1805337205on_val(produc1712663241on_val,U_1074),U_1072) = hAPP_f368284312on_val(hAPP_f1805337205on_val(produc1712663241on_val,U_1070),U_1068)
    | U_1072 != U_1068
    | U_1074 != U_1070 ),
    inference(clausify,[status(thm)],[f_267_3]) ).

fof(f_268_1,plain,
    ! [A,B,A_3,B_3] :
      ( ( hAPP_f1741070310on_val(hAPP_f864891091on_val(produc1960514199on_val,A),B) = hAPP_f1741070310on_val(hAPP_f864891091on_val(produc1960514199on_val,A_3),B_3)
        | B != B_3
        | A != A_3 )
      & ( ( B = B_3
          & A = A_3 )
        | hAPP_f1741070310on_val(hAPP_f864891091on_val(produc1960514199on_val,A),B) != hAPP_f1741070310on_val(hAPP_f864891091on_val(produc1960514199on_val,A_3),B_3) ) ),
    inference(fof_nnf,[status(thm)],[fact_126_Pair__eq]) ).

fof(f_268_2,plain,
    ! [U_1078,U_1077,U_1076,U_1075] :
      ( ( hAPP_f1741070310on_val(hAPP_f864891091on_val(produc1960514199on_val,U_1078),U_1077) = hAPP_f1741070310on_val(hAPP_f864891091on_val(produc1960514199on_val,U_1076),U_1075)
        | U_1077 != U_1075
        | U_1078 != U_1076 )
      & ( ( U_1077 = U_1075
          & U_1078 = U_1076 )
        | hAPP_f1741070310on_val(hAPP_f864891091on_val(produc1960514199on_val,U_1078),U_1077) != hAPP_f1741070310on_val(hAPP_f864891091on_val(produc1960514199on_val,U_1076),U_1075) ) ),
    inference(variable_rename,[status(thm)],[f_268_1]) ).

fof(f_268_3,plain,
    ( ! [U_1086,U_1084,U_1082,U_1080] :
        ( hAPP_f1741070310on_val(hAPP_f864891091on_val(produc1960514199on_val,U_1086),U_1084) = hAPP_f1741070310on_val(hAPP_f864891091on_val(produc1960514199on_val,U_1082),U_1080)
        | U_1084 != U_1080
        | U_1086 != U_1082 )
    & ! [U_1085,U_1083,U_1081,U_1079] :
        ( ( U_1083 = U_1079
          & U_1085 = U_1081 )
        | hAPP_f1741070310on_val(hAPP_f864891091on_val(produc1960514199on_val,U_1085),U_1083) != hAPP_f1741070310on_val(hAPP_f864891091on_val(produc1960514199on_val,U_1081),U_1079) ) ),
    inference(miniscope,[status(thm)],[f_268_2]) ).

cnf(f_268_4,plain,
    ( U_1085 = U_1081
    | hAPP_f1741070310on_val(hAPP_f864891091on_val(produc1960514199on_val,U_1085),U_1083) != hAPP_f1741070310on_val(hAPP_f864891091on_val(produc1960514199on_val,U_1081),U_1079) ),
    inference(clausify,[status(thm)],[f_268_3]) ).

cnf(f_268_5,plain,
    ( U_1083 = U_1079
    | hAPP_f1741070310on_val(hAPP_f864891091on_val(produc1960514199on_val,U_1085),U_1083) != hAPP_f1741070310on_val(hAPP_f864891091on_val(produc1960514199on_val,U_1081),U_1079) ),
    inference(clausify,[status(thm)],[f_268_3]) ).

cnf(f_268_6,plain,
    ( hAPP_f1741070310on_val(hAPP_f864891091on_val(produc1960514199on_val,U_1086),U_1084) = hAPP_f1741070310on_val(hAPP_f864891091on_val(produc1960514199on_val,U_1082),U_1080)
    | U_1084 != U_1080
    | U_1086 != U_1082 ),
    inference(clausify,[status(thm)],[f_268_3]) ).

fof(f_269_1,plain,
    ! [A,B,A_3,B_3] :
      ( ( hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A),B) = hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_3),B_3)
        | B != B_3
        | A != A_3 )
      & ( ( B = B_3
          & A = A_3 )
        | hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A),B) != hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_3),B_3) ) ),
    inference(fof_nnf,[status(thm)],[fact_127_Pair__eq]) ).

fof(f_269_2,plain,
    ! [U_1090,U_1089,U_1088,U_1087] :
      ( ( hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_1090),U_1089) = hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_1088),U_1087)
        | U_1089 != U_1087
        | U_1090 != U_1088 )
      & ( ( U_1089 = U_1087
          & U_1090 = U_1088 )
        | hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_1090),U_1089) != hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_1088),U_1087) ) ),
    inference(variable_rename,[status(thm)],[f_269_1]) ).

fof(f_269_3,plain,
    ( ! [U_1098,U_1096,U_1094,U_1092] :
        ( hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_1098),U_1096) = hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_1094),U_1092)
        | U_1096 != U_1092
        | U_1098 != U_1094 )
    & ! [U_1097,U_1095,U_1093,U_1091] :
        ( ( U_1095 = U_1091
          & U_1097 = U_1093 )
        | hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_1097),U_1095) != hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_1093),U_1091) ) ),
    inference(miniscope,[status(thm)],[f_269_2]) ).

cnf(f_269_4,plain,
    ( U_1097 = U_1093
    | hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_1097),U_1095) != hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_1093),U_1091) ),
    inference(clausify,[status(thm)],[f_269_3]) ).

cnf(f_269_5,plain,
    ( U_1095 = U_1091
    | hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_1097),U_1095) != hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_1093),U_1091) ),
    inference(clausify,[status(thm)],[f_269_3]) ).

cnf(f_269_6,plain,
    ( hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_1098),U_1096) = hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_1094),U_1092)
    | U_1096 != U_1092
    | U_1098 != U_1094 ),
    inference(clausify,[status(thm)],[f_269_3]) ).

fof(f_270_1,plain,
    ! [A,B,A_3,B_3] :
      ( ( hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A),B) = hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A_3),B_3)
        | B != B_3
        | A != A_3 )
      & ( ( B = B_3
          & A = A_3 )
        | hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A),B) != hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A_3),B_3) ) ),
    inference(fof_nnf,[status(thm)],[fact_128_Pair__eq]) ).

fof(f_270_2,plain,
    ! [U_1102,U_1101,U_1100,U_1099] :
      ( ( hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_1102),U_1101) = hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_1100),U_1099)
        | U_1101 != U_1099
        | U_1102 != U_1100 )
      & ( ( U_1101 = U_1099
          & U_1102 = U_1100 )
        | hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_1102),U_1101) != hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_1100),U_1099) ) ),
    inference(variable_rename,[status(thm)],[f_270_1]) ).

fof(f_270_3,plain,
    ( ! [U_1110,U_1108,U_1106,U_1104] :
        ( hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_1110),U_1108) = hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_1106),U_1104)
        | U_1108 != U_1104
        | U_1110 != U_1106 )
    & ! [U_1109,U_1107,U_1105,U_1103] :
        ( ( U_1107 = U_1103
          & U_1109 = U_1105 )
        | hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_1109),U_1107) != hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_1105),U_1103) ) ),
    inference(miniscope,[status(thm)],[f_270_2]) ).

cnf(f_270_4,plain,
    ( U_1109 = U_1105
    | hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_1109),U_1107) != hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_1105),U_1103) ),
    inference(clausify,[status(thm)],[f_270_3]) ).

cnf(f_270_5,plain,
    ( U_1107 = U_1103
    | hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_1109),U_1107) != hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_1105),U_1103) ),
    inference(clausify,[status(thm)],[f_270_3]) ).

cnf(f_270_6,plain,
    ( hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_1110),U_1108) = hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_1106),U_1104)
    | U_1108 != U_1104
    | U_1110 != U_1106 ),
    inference(clausify,[status(thm)],[f_270_3]) ).

fof(f_271_1,plain,
    ! [A,B,A_3,B_3] :
      ( ( hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A),B) = hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A_3),B_3)
        | B != B_3
        | A != A_3 )
      & ( ( B = B_3
          & A = A_3 )
        | hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A),B) != hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A_3),B_3) ) ),
    inference(fof_nnf,[status(thm)],[fact_129_Pair__eq]) ).

fof(f_271_2,plain,
    ! [U_1114,U_1113,U_1112,U_1111] :
      ( ( hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_1114),U_1113) = hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_1112),U_1111)
        | U_1113 != U_1111
        | U_1114 != U_1112 )
      & ( ( U_1113 = U_1111
          & U_1114 = U_1112 )
        | hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_1114),U_1113) != hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_1112),U_1111) ) ),
    inference(variable_rename,[status(thm)],[f_271_1]) ).

fof(f_271_3,plain,
    ( ! [U_1122,U_1120,U_1118,U_1116] :
        ( hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_1122),U_1120) = hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_1118),U_1116)
        | U_1120 != U_1116
        | U_1122 != U_1118 )
    & ! [U_1121,U_1119,U_1117,U_1115] :
        ( ( U_1119 = U_1115
          & U_1121 = U_1117 )
        | hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_1121),U_1119) != hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_1117),U_1115) ) ),
    inference(miniscope,[status(thm)],[f_271_2]) ).

cnf(f_271_4,plain,
    ( U_1121 = U_1117
    | hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_1121),U_1119) != hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_1117),U_1115) ),
    inference(clausify,[status(thm)],[f_271_3]) ).

cnf(f_271_5,plain,
    ( U_1119 = U_1115
    | hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_1121),U_1119) != hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_1117),U_1115) ),
    inference(clausify,[status(thm)],[f_271_3]) ).

cnf(f_271_6,plain,
    ( hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_1122),U_1120) = hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_1118),U_1116)
    | U_1120 != U_1116
    | U_1122 != U_1118 ),
    inference(clausify,[status(thm)],[f_271_3]) ).

fof(f_272_1,plain,
    ! [A,B,A_3,B_3] :
      ( ( hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,A),B) = hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,A_3),B_3)
        | B != B_3
        | A != A_3 )
      & ( ( B = B_3
          & A = A_3 )
        | hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,A),B) != hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,A_3),B_3) ) ),
    inference(fof_nnf,[status(thm)],[fact_130_Pair__eq]) ).

fof(f_272_2,plain,
    ! [U_1126,U_1125,U_1124,U_1123] :
      ( ( hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_1126),U_1125) = hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_1124),U_1123)
        | U_1125 != U_1123
        | U_1126 != U_1124 )
      & ( ( U_1125 = U_1123
          & U_1126 = U_1124 )
        | hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_1126),U_1125) != hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_1124),U_1123) ) ),
    inference(variable_rename,[status(thm)],[f_272_1]) ).

fof(f_272_3,plain,
    ( ! [U_1134,U_1132,U_1130,U_1128] :
        ( hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_1134),U_1132) = hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_1130),U_1128)
        | U_1132 != U_1128
        | U_1134 != U_1130 )
    & ! [U_1133,U_1131,U_1129,U_1127] :
        ( ( U_1131 = U_1127
          & U_1133 = U_1129 )
        | hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_1133),U_1131) != hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_1129),U_1127) ) ),
    inference(miniscope,[status(thm)],[f_272_2]) ).

cnf(f_272_4,plain,
    ( U_1133 = U_1129
    | hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_1133),U_1131) != hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_1129),U_1127) ),
    inference(clausify,[status(thm)],[f_272_3]) ).

cnf(f_272_5,plain,
    ( U_1131 = U_1127
    | hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_1133),U_1131) != hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_1129),U_1127) ),
    inference(clausify,[status(thm)],[f_272_3]) ).

cnf(f_272_6,plain,
    ( hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_1134),U_1132) = hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_1130),U_1128)
    | U_1132 != U_1128
    | U_1134 != U_1130 ),
    inference(clausify,[status(thm)],[f_272_3]) ).

fof(f_273_1,plain,
    ! [A,B,A_3,B_3] :
      ( ( hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A),B) = hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A_3),B_3)
        | B != B_3
        | A != A_3 )
      & ( ( B = B_3
          & A = A_3 )
        | hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A),B) != hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A_3),B_3) ) ),
    inference(fof_nnf,[status(thm)],[fact_131_Pair__eq]) ).

fof(f_273_2,plain,
    ! [U_1138,U_1137,U_1136,U_1135] :
      ( ( hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_1138),U_1137) = hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_1136),U_1135)
        | U_1137 != U_1135
        | U_1138 != U_1136 )
      & ( ( U_1137 = U_1135
          & U_1138 = U_1136 )
        | hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_1138),U_1137) != hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_1136),U_1135) ) ),
    inference(variable_rename,[status(thm)],[f_273_1]) ).

fof(f_273_3,plain,
    ( ! [U_1146,U_1144,U_1142,U_1140] :
        ( hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_1146),U_1144) = hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_1142),U_1140)
        | U_1144 != U_1140
        | U_1146 != U_1142 )
    & ! [U_1145,U_1143,U_1141,U_1139] :
        ( ( U_1143 = U_1139
          & U_1145 = U_1141 )
        | hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_1145),U_1143) != hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_1141),U_1139) ) ),
    inference(miniscope,[status(thm)],[f_273_2]) ).

cnf(f_273_4,plain,
    ( U_1145 = U_1141
    | hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_1145),U_1143) != hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_1141),U_1139) ),
    inference(clausify,[status(thm)],[f_273_3]) ).

cnf(f_273_5,plain,
    ( U_1143 = U_1139
    | hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_1145),U_1143) != hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_1141),U_1139) ),
    inference(clausify,[status(thm)],[f_273_3]) ).

cnf(f_273_6,plain,
    ( hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_1146),U_1144) = hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_1142),U_1140)
    | U_1144 != U_1140
    | U_1146 != U_1142 ),
    inference(clausify,[status(thm)],[f_273_3]) ).

fof(f_274_1,plain,
    ! [A,B,A_3,B_3] :
      ( ( ( hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,A),B) = hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,A_3),B_3)
          | B != B_3
          | A != A_3 )
        & ( ( B = B_3
            & A = A_3 )
          | hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,A),B) != hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,A_3),B_3) ) )
      | ~ is_bop(A_3)
      | ~ is_bop(A) ),
    inference(fof_nnf,[status(thm)],[fact_132_Pair__eq]) ).

fof(f_274_2,plain,
    ! [U_1150,U_1149,U_1148,U_1147] :
      ( ( ( hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_1150),U_1149) = hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_1148),U_1147)
          | U_1149 != U_1147
          | U_1150 != U_1148 )
        & ( ( U_1149 = U_1147
            & U_1150 = U_1148 )
          | hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_1150),U_1149) != hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_1148),U_1147) ) )
      | ~ is_bop(U_1148)
      | ~ is_bop(U_1150) ),
    inference(variable_rename,[status(thm)],[f_274_1]) ).

fof(f_274_3,plain,
    ! [U_1150,U_1149,U_1148] :
      ( ( ! [U_1152] :
            ( hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_1150),U_1149) = hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_1148),U_1152)
            | U_1149 != U_1152
            | U_1150 != U_1148 )
        & ! [U_1151] :
            ( ( U_1149 = U_1151
              & U_1150 = U_1148 )
            | hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_1150),U_1149) != hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_1148),U_1151) ) )
      | ~ is_bop(U_1148)
      | ~ is_bop(U_1150) ),
    inference(miniscope,[status(thm)],[f_274_2]) ).

cnf(f_274_4,plain,
    ( U_1150 = U_1148
    | hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_1150),U_1149) != hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_1148),U_1151)
    | ~ is_bop(U_1148)
    | ~ is_bop(U_1150) ),
    inference(clausify,[status(thm)],[f_274_3]) ).

cnf(f_274_5,plain,
    ( U_1149 = U_1151
    | hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_1150),U_1149) != hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_1148),U_1151)
    | ~ is_bop(U_1148)
    | ~ is_bop(U_1150) ),
    inference(clausify,[status(thm)],[f_274_3]) ).

cnf(f_274_6,plain,
    ( hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_1150),U_1149) = hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_1148),U_1152)
    | U_1149 != U_1152
    | U_1150 != U_1148
    | ~ is_bop(U_1148)
    | ~ is_bop(U_1150) ),
    inference(clausify,[status(thm)],[f_274_3]) ).

fof(f_275_1,plain,
    ! [A,B,A_3,B_3] :
      ( ( hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A),B) = hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A_3),B_3)
        | B != B_3
        | A != A_3 )
      & ( ( B = B_3
          & A = A_3 )
        | hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A),B) != hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A_3),B_3) ) ),
    inference(fof_nnf,[status(thm)],[fact_133_Pair__eq]) ).

fof(f_275_2,plain,
    ! [U_1156,U_1155,U_1154,U_1153] :
      ( ( hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_1156),U_1155) = hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_1154),U_1153)
        | U_1155 != U_1153
        | U_1156 != U_1154 )
      & ( ( U_1155 = U_1153
          & U_1156 = U_1154 )
        | hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_1156),U_1155) != hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_1154),U_1153) ) ),
    inference(variable_rename,[status(thm)],[f_275_1]) ).

fof(f_275_3,plain,
    ( ! [U_1164,U_1162,U_1160,U_1158] :
        ( hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_1164),U_1162) = hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_1160),U_1158)
        | U_1162 != U_1158
        | U_1164 != U_1160 )
    & ! [U_1163,U_1161,U_1159,U_1157] :
        ( ( U_1161 = U_1157
          & U_1163 = U_1159 )
        | hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_1163),U_1161) != hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_1159),U_1157) ) ),
    inference(miniscope,[status(thm)],[f_275_2]) ).

cnf(f_275_4,plain,
    ( U_1163 = U_1159
    | hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_1163),U_1161) != hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_1159),U_1157) ),
    inference(clausify,[status(thm)],[f_275_3]) ).

cnf(f_275_5,plain,
    ( U_1161 = U_1157
    | hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_1163),U_1161) != hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_1159),U_1157) ),
    inference(clausify,[status(thm)],[f_275_3]) ).

cnf(f_275_6,plain,
    ( hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_1164),U_1162) = hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_1160),U_1158)
    | U_1162 != U_1158
    | U_1164 != U_1160 ),
    inference(clausify,[status(thm)],[f_275_3]) ).

fof(f_276_1,plain,
    ! [A,B,A_3,B_3] :
      ( ( hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A),B) = hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A_3),B_3)
        | B != B_3
        | A != A_3 )
      & ( ( B = B_3
          & A = A_3 )
        | hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A),B) != hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A_3),B_3) ) ),
    inference(fof_nnf,[status(thm)],[fact_134_Pair__eq]) ).

fof(f_276_2,plain,
    ! [U_1168,U_1167,U_1166,U_1165] :
      ( ( hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_1168),U_1167) = hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_1166),U_1165)
        | U_1167 != U_1165
        | U_1168 != U_1166 )
      & ( ( U_1167 = U_1165
          & U_1168 = U_1166 )
        | hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_1168),U_1167) != hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_1166),U_1165) ) ),
    inference(variable_rename,[status(thm)],[f_276_1]) ).

fof(f_276_3,plain,
    ( ! [U_1176,U_1174,U_1172,U_1170] :
        ( hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_1176),U_1174) = hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_1172),U_1170)
        | U_1174 != U_1170
        | U_1176 != U_1172 )
    & ! [U_1175,U_1173,U_1171,U_1169] :
        ( ( U_1173 = U_1169
          & U_1175 = U_1171 )
        | hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_1175),U_1173) != hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_1171),U_1169) ) ),
    inference(miniscope,[status(thm)],[f_276_2]) ).

cnf(f_276_4,plain,
    ( U_1175 = U_1171
    | hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_1175),U_1173) != hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_1171),U_1169) ),
    inference(clausify,[status(thm)],[f_276_3]) ).

cnf(f_276_5,plain,
    ( U_1173 = U_1169
    | hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_1175),U_1173) != hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_1171),U_1169) ),
    inference(clausify,[status(thm)],[f_276_3]) ).

cnf(f_276_6,plain,
    ( hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_1176),U_1174) = hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_1172),U_1170)
    | U_1174 != U_1170
    | U_1176 != U_1172 ),
    inference(clausify,[status(thm)],[f_276_3]) ).

fof(f_277_1,plain,
    ! [A,B,A_3,B_3] :
      ( ( hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,A),B) = hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,A_3),B_3)
        | B != B_3
        | A != A_3 )
      & ( ( B = B_3
          & A = A_3 )
        | hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,A),B) != hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,A_3),B_3) ) ),
    inference(fof_nnf,[status(thm)],[fact_135_Pair__eq]) ).

fof(f_277_2,plain,
    ! [U_1180,U_1179,U_1178,U_1177] :
      ( ( hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_1180),U_1179) = hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_1178),U_1177)
        | U_1179 != U_1177
        | U_1180 != U_1178 )
      & ( ( U_1179 = U_1177
          & U_1180 = U_1178 )
        | hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_1180),U_1179) != hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_1178),U_1177) ) ),
    inference(variable_rename,[status(thm)],[f_277_1]) ).

fof(f_277_3,plain,
    ( ! [U_1188,U_1186,U_1184,U_1182] :
        ( hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_1188),U_1186) = hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_1184),U_1182)
        | U_1186 != U_1182
        | U_1188 != U_1184 )
    & ! [U_1187,U_1185,U_1183,U_1181] :
        ( ( U_1185 = U_1181
          & U_1187 = U_1183 )
        | hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_1187),U_1185) != hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_1183),U_1181) ) ),
    inference(miniscope,[status(thm)],[f_277_2]) ).

cnf(f_277_4,plain,
    ( U_1187 = U_1183
    | hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_1187),U_1185) != hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_1183),U_1181) ),
    inference(clausify,[status(thm)],[f_277_3]) ).

cnf(f_277_5,plain,
    ( U_1185 = U_1181
    | hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_1187),U_1185) != hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_1183),U_1181) ),
    inference(clausify,[status(thm)],[f_277_3]) ).

cnf(f_277_6,plain,
    ( hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_1188),U_1186) = hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_1184),U_1182)
    | U_1186 != U_1182
    | U_1188 != U_1184 ),
    inference(clausify,[status(thm)],[f_277_3]) ).

fof(f_278_1,plain,
    ! [A,B,A_3,B_3] :
      ( ( hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,A),B) = hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,A_3),B_3)
        | B != B_3
        | A != A_3 )
      & ( ( B = B_3
          & A = A_3 )
        | hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,A),B) != hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,A_3),B_3) ) ),
    inference(fof_nnf,[status(thm)],[fact_136_Pair__eq]) ).

fof(f_278_2,plain,
    ! [U_1192,U_1191,U_1190,U_1189] :
      ( ( hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_1192),U_1191) = hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_1190),U_1189)
        | U_1191 != U_1189
        | U_1192 != U_1190 )
      & ( ( U_1191 = U_1189
          & U_1192 = U_1190 )
        | hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_1192),U_1191) != hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_1190),U_1189) ) ),
    inference(variable_rename,[status(thm)],[f_278_1]) ).

fof(f_278_3,plain,
    ( ! [U_1200,U_1198,U_1196,U_1194] :
        ( hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_1200),U_1198) = hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_1196),U_1194)
        | U_1198 != U_1194
        | U_1200 != U_1196 )
    & ! [U_1199,U_1197,U_1195,U_1193] :
        ( ( U_1197 = U_1193
          & U_1199 = U_1195 )
        | hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_1199),U_1197) != hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_1195),U_1193) ) ),
    inference(miniscope,[status(thm)],[f_278_2]) ).

cnf(f_278_4,plain,
    ( U_1199 = U_1195
    | hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_1199),U_1197) != hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_1195),U_1193) ),
    inference(clausify,[status(thm)],[f_278_3]) ).

cnf(f_278_5,plain,
    ( U_1197 = U_1193
    | hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_1199),U_1197) != hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_1195),U_1193) ),
    inference(clausify,[status(thm)],[f_278_3]) ).

cnf(f_278_6,plain,
    ( hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_1200),U_1198) = hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_1196),U_1194)
    | U_1198 != U_1194
    | U_1200 != U_1196 ),
    inference(clausify,[status(thm)],[f_278_3]) ).

fof(f_279_1,plain,
    ! [A,B,A_3,B_3] :
      ( ( hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,A),B) = hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,A_3),B_3)
        | B != B_3
        | A != A_3 )
      & ( ( B = B_3
          & A = A_3 )
        | hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,A),B) != hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,A_3),B_3) ) ),
    inference(fof_nnf,[status(thm)],[fact_137_Pair__eq]) ).

fof(f_279_2,plain,
    ! [U_1204,U_1203,U_1202,U_1201] :
      ( ( hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_1204),U_1203) = hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_1202),U_1201)
        | U_1203 != U_1201
        | U_1204 != U_1202 )
      & ( ( U_1203 = U_1201
          & U_1204 = U_1202 )
        | hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_1204),U_1203) != hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_1202),U_1201) ) ),
    inference(variable_rename,[status(thm)],[f_279_1]) ).

fof(f_279_3,plain,
    ( ! [U_1212,U_1210,U_1208,U_1206] :
        ( hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_1212),U_1210) = hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_1208),U_1206)
        | U_1210 != U_1206
        | U_1212 != U_1208 )
    & ! [U_1211,U_1209,U_1207,U_1205] :
        ( ( U_1209 = U_1205
          & U_1211 = U_1207 )
        | hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_1211),U_1209) != hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_1207),U_1205) ) ),
    inference(miniscope,[status(thm)],[f_279_2]) ).

cnf(f_279_4,plain,
    ( U_1211 = U_1207
    | hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_1211),U_1209) != hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_1207),U_1205) ),
    inference(clausify,[status(thm)],[f_279_3]) ).

cnf(f_279_5,plain,
    ( U_1209 = U_1205
    | hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_1211),U_1209) != hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_1207),U_1205) ),
    inference(clausify,[status(thm)],[f_279_3]) ).

cnf(f_279_6,plain,
    ( hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_1212),U_1210) = hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_1208),U_1206)
    | U_1210 != U_1206
    | U_1212 != U_1208 ),
    inference(clausify,[status(thm)],[f_279_3]) ).

fof(f_280_1,plain,
    ! [A,B,A_3,B_3] :
      ( ( hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,A),B) = hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,A_3),B_3)
        | B != B_3
        | A != A_3 )
      & ( ( B = B_3
          & A = A_3 )
        | hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,A),B) != hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,A_3),B_3) ) ),
    inference(fof_nnf,[status(thm)],[fact_138_Pair__eq]) ).

fof(f_280_2,plain,
    ! [U_1216,U_1215,U_1214,U_1213] :
      ( ( hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_1216),U_1215) = hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_1214),U_1213)
        | U_1215 != U_1213
        | U_1216 != U_1214 )
      & ( ( U_1215 = U_1213
          & U_1216 = U_1214 )
        | hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_1216),U_1215) != hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_1214),U_1213) ) ),
    inference(variable_rename,[status(thm)],[f_280_1]) ).

fof(f_280_3,plain,
    ( ! [U_1224,U_1222,U_1220,U_1218] :
        ( hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_1224),U_1222) = hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_1220),U_1218)
        | U_1222 != U_1218
        | U_1224 != U_1220 )
    & ! [U_1223,U_1221,U_1219,U_1217] :
        ( ( U_1221 = U_1217
          & U_1223 = U_1219 )
        | hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_1223),U_1221) != hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_1219),U_1217) ) ),
    inference(miniscope,[status(thm)],[f_280_2]) ).

cnf(f_280_4,plain,
    ( U_1223 = U_1219
    | hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_1223),U_1221) != hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_1219),U_1217) ),
    inference(clausify,[status(thm)],[f_280_3]) ).

cnf(f_280_5,plain,
    ( U_1221 = U_1217
    | hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_1223),U_1221) != hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_1219),U_1217) ),
    inference(clausify,[status(thm)],[f_280_3]) ).

cnf(f_280_6,plain,
    ( hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_1224),U_1222) = hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_1220),U_1218)
    | U_1222 != U_1218
    | U_1224 != U_1220 ),
    inference(clausify,[status(thm)],[f_280_3]) ).

fof(f_281_1,plain,
    ! [A,B,A_3,B_3] :
      ( ( hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,A),B) = hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,A_3),B_3)
        | B != B_3
        | A != A_3 )
      & ( ( B = B_3
          & A = A_3 )
        | hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,A),B) != hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,A_3),B_3) ) ),
    inference(fof_nnf,[status(thm)],[fact_139_Pair__eq]) ).

fof(f_281_2,plain,
    ! [U_1228,U_1227,U_1226,U_1225] :
      ( ( hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_1228),U_1227) = hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_1226),U_1225)
        | U_1227 != U_1225
        | U_1228 != U_1226 )
      & ( ( U_1227 = U_1225
          & U_1228 = U_1226 )
        | hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_1228),U_1227) != hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_1226),U_1225) ) ),
    inference(variable_rename,[status(thm)],[f_281_1]) ).

fof(f_281_3,plain,
    ( ! [U_1236,U_1234,U_1232,U_1230] :
        ( hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_1236),U_1234) = hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_1232),U_1230)
        | U_1234 != U_1230
        | U_1236 != U_1232 )
    & ! [U_1235,U_1233,U_1231,U_1229] :
        ( ( U_1233 = U_1229
          & U_1235 = U_1231 )
        | hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_1235),U_1233) != hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_1231),U_1229) ) ),
    inference(miniscope,[status(thm)],[f_281_2]) ).

cnf(f_281_4,plain,
    ( U_1235 = U_1231
    | hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_1235),U_1233) != hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_1231),U_1229) ),
    inference(clausify,[status(thm)],[f_281_3]) ).

cnf(f_281_5,plain,
    ( U_1233 = U_1229
    | hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_1235),U_1233) != hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_1231),U_1229) ),
    inference(clausify,[status(thm)],[f_281_3]) ).

cnf(f_281_6,plain,
    ( hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_1236),U_1234) = hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_1232),U_1230)
    | U_1234 != U_1230
    | U_1236 != U_1232 ),
    inference(clausify,[status(thm)],[f_281_3]) ).

fof(f_282_1,plain,
    ! [A,B,A_3,B_3] :
      ( ( hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,A),B) = hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,A_3),B_3)
        | B != B_3
        | A != A_3 )
      & ( ( B = B_3
          & A = A_3 )
        | hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,A),B) != hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,A_3),B_3) ) ),
    inference(fof_nnf,[status(thm)],[fact_140_Pair__eq]) ).

fof(f_282_2,plain,
    ! [U_1240,U_1239,U_1238,U_1237] :
      ( ( hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_1240),U_1239) = hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_1238),U_1237)
        | U_1239 != U_1237
        | U_1240 != U_1238 )
      & ( ( U_1239 = U_1237
          & U_1240 = U_1238 )
        | hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_1240),U_1239) != hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_1238),U_1237) ) ),
    inference(variable_rename,[status(thm)],[f_282_1]) ).

fof(f_282_3,plain,
    ( ! [U_1248,U_1246,U_1244,U_1242] :
        ( hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_1248),U_1246) = hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_1244),U_1242)
        | U_1246 != U_1242
        | U_1248 != U_1244 )
    & ! [U_1247,U_1245,U_1243,U_1241] :
        ( ( U_1245 = U_1241
          & U_1247 = U_1243 )
        | hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_1247),U_1245) != hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_1243),U_1241) ) ),
    inference(miniscope,[status(thm)],[f_282_2]) ).

cnf(f_282_4,plain,
    ( U_1247 = U_1243
    | hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_1247),U_1245) != hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_1243),U_1241) ),
    inference(clausify,[status(thm)],[f_282_3]) ).

cnf(f_282_5,plain,
    ( U_1245 = U_1241
    | hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_1247),U_1245) != hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_1243),U_1241) ),
    inference(clausify,[status(thm)],[f_282_3]) ).

cnf(f_282_6,plain,
    ( hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_1248),U_1246) = hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_1244),U_1242)
    | U_1246 != U_1242
    | U_1248 != U_1244 ),
    inference(clausify,[status(thm)],[f_282_3]) ).

fof(f_283_1,plain,
    ! [A,B,A_3,B_3] :
      ( ( hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,A),B) = hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,A_3),B_3)
        | B != B_3
        | A != A_3 )
      & ( ( B = B_3
          & A = A_3 )
        | hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,A),B) != hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,A_3),B_3) ) ),
    inference(fof_nnf,[status(thm)],[fact_141_Pair__eq]) ).

fof(f_283_2,plain,
    ! [U_1252,U_1251,U_1250,U_1249] :
      ( ( hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_1252),U_1251) = hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_1250),U_1249)
        | U_1251 != U_1249
        | U_1252 != U_1250 )
      & ( ( U_1251 = U_1249
          & U_1252 = U_1250 )
        | hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_1252),U_1251) != hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_1250),U_1249) ) ),
    inference(variable_rename,[status(thm)],[f_283_1]) ).

fof(f_283_3,plain,
    ( ! [U_1260,U_1258,U_1256,U_1254] :
        ( hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_1260),U_1258) = hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_1256),U_1254)
        | U_1258 != U_1254
        | U_1260 != U_1256 )
    & ! [U_1259,U_1257,U_1255,U_1253] :
        ( ( U_1257 = U_1253
          & U_1259 = U_1255 )
        | hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_1259),U_1257) != hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_1255),U_1253) ) ),
    inference(miniscope,[status(thm)],[f_283_2]) ).

cnf(f_283_4,plain,
    ( U_1259 = U_1255
    | hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_1259),U_1257) != hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_1255),U_1253) ),
    inference(clausify,[status(thm)],[f_283_3]) ).

cnf(f_283_5,plain,
    ( U_1257 = U_1253
    | hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_1259),U_1257) != hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_1255),U_1253) ),
    inference(clausify,[status(thm)],[f_283_3]) ).

cnf(f_283_6,plain,
    ( hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_1260),U_1258) = hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_1256),U_1254)
    | U_1258 != U_1254
    | U_1260 != U_1256 ),
    inference(clausify,[status(thm)],[f_283_3]) ).

fof(f_284_1,plain,
    ! [A,B,A_3,B_3] :
      ( ( hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,A),B) = hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,A_3),B_3)
        | B != B_3
        | A != A_3 )
      & ( ( B = B_3
          & A = A_3 )
        | hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,A),B) != hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,A_3),B_3) ) ),
    inference(fof_nnf,[status(thm)],[fact_142_Pair__eq]) ).

fof(f_284_2,plain,
    ! [U_1264,U_1263,U_1262,U_1261] :
      ( ( hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_1264),U_1263) = hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_1262),U_1261)
        | U_1263 != U_1261
        | U_1264 != U_1262 )
      & ( ( U_1263 = U_1261
          & U_1264 = U_1262 )
        | hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_1264),U_1263) != hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_1262),U_1261) ) ),
    inference(variable_rename,[status(thm)],[f_284_1]) ).

fof(f_284_3,plain,
    ( ! [U_1272,U_1270,U_1268,U_1266] :
        ( hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_1272),U_1270) = hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_1268),U_1266)
        | U_1270 != U_1266
        | U_1272 != U_1268 )
    & ! [U_1271,U_1269,U_1267,U_1265] :
        ( ( U_1269 = U_1265
          & U_1271 = U_1267 )
        | hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_1271),U_1269) != hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_1267),U_1265) ) ),
    inference(miniscope,[status(thm)],[f_284_2]) ).

cnf(f_284_4,plain,
    ( U_1271 = U_1267
    | hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_1271),U_1269) != hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_1267),U_1265) ),
    inference(clausify,[status(thm)],[f_284_3]) ).

cnf(f_284_5,plain,
    ( U_1269 = U_1265
    | hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_1271),U_1269) != hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_1267),U_1265) ),
    inference(clausify,[status(thm)],[f_284_3]) ).

cnf(f_284_6,plain,
    ( hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_1272),U_1270) = hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_1268),U_1266)
    | U_1270 != U_1266
    | U_1272 != U_1268 ),
    inference(clausify,[status(thm)],[f_284_3]) ).

fof(f_285_1,plain,
    ! [Pa] :
      ( ( ! [X1] : hBOOL(hAPP_P748443392y_bool(Pa,X1))
        | ? [A_1,B_2] : ~ hBOOL(hAPP_P748443392y_bool(Pa,hAPP_t1875766236har_ty(hAPP_l1948972481har_ty(produc251930284har_ty,A_1),B_2))) )
      & ( ! [A_1,B_2] : hBOOL(hAPP_P748443392y_bool(Pa,hAPP_t1875766236har_ty(hAPP_l1948972481har_ty(produc251930284har_ty,A_1),B_2)))
        | ? [X1] : ~ hBOOL(hAPP_P748443392y_bool(Pa,X1)) ) ),
    inference(fof_nnf,[status(thm)],[fact_143_split__paired__All]) ).

fof(f_285_2,plain,
    ! [U_1279] :
      ( ( ! [U_1278] : hBOOL(hAPP_P748443392y_bool(U_1279,U_1278))
        | ? [U_1277,U_1276] : ~ hBOOL(hAPP_P748443392y_bool(U_1279,hAPP_t1875766236har_ty(hAPP_l1948972481har_ty(produc251930284har_ty,U_1277),U_1276))) )
      & ( ! [U_1275,U_1274] : hBOOL(hAPP_P748443392y_bool(U_1279,hAPP_t1875766236har_ty(hAPP_l1948972481har_ty(produc251930284har_ty,U_1275),U_1274)))
        | ? [U_1273] : ~ hBOOL(hAPP_P748443392y_bool(U_1279,U_1273)) ) ),
    inference(variable_rename,[status(thm)],[f_285_1]) ).

fof(f_285_3,plain,
    ( ! [U_1281] :
        ( ! [U_1278] : hBOOL(hAPP_P748443392y_bool(U_1281,U_1278))
        | ? [U_1277,U_1276] : ~ hBOOL(hAPP_P748443392y_bool(U_1281,hAPP_t1875766236har_ty(hAPP_l1948972481har_ty(produc251930284har_ty,U_1277),U_1276))) )
    & ! [U_1280] :
        ( ! [U_1275,U_1274] : hBOOL(hAPP_P748443392y_bool(U_1280,hAPP_t1875766236har_ty(hAPP_l1948972481har_ty(produc251930284har_ty,U_1275),U_1274)))
        | ? [U_1273] : ~ hBOOL(hAPP_P748443392y_bool(U_1280,U_1273)) ) ),
    inference(miniscope,[status(thm)],[f_285_2]) ).

fof(f_285_4,plain,
    ( ! [U_1281] :
        ( ! [U_1278] : hBOOL(hAPP_P748443392y_bool(U_1281,U_1278))
        | ? [U_1277,U_1276] : ~ hBOOL(hAPP_P748443392y_bool(U_1281,hAPP_t1875766236har_ty(hAPP_l1948972481har_ty(produc251930284har_ty,U_1277),U_1276))) )
    & ! [U_1280] :
        ( ! [U_1275,U_1274] : hBOOL(hAPP_P748443392y_bool(U_1280,hAPP_t1875766236har_ty(hAPP_l1948972481har_ty(produc251930284har_ty,U_1275),U_1274)))
        | ~ hBOOL(hAPP_P748443392y_bool(U_1280,sK148(U_1280))) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK148]),skolemize(U_1273,sK148(U_1280))],[f_285_3]) ).

fof(f_285_5,plain,
    ( ! [U_1281] :
        ( ! [U_1278] : hBOOL(hAPP_P748443392y_bool(U_1281,U_1278))
        | ? [U_1276] : ~ hBOOL(hAPP_P748443392y_bool(U_1281,hAPP_t1875766236har_ty(hAPP_l1948972481har_ty(produc251930284har_ty,sK149(U_1281)),U_1276))) )
    & ! [U_1280] :
        ( ! [U_1275,U_1274] : hBOOL(hAPP_P748443392y_bool(U_1280,hAPP_t1875766236har_ty(hAPP_l1948972481har_ty(produc251930284har_ty,U_1275),U_1274)))
        | ~ hBOOL(hAPP_P748443392y_bool(U_1280,sK148(U_1280))) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK149]),skolemize(U_1277,sK149(U_1281))],[f_285_4]) ).

fof(f_285_6,plain,
    ( ! [U_1281] :
        ( ! [U_1278] : hBOOL(hAPP_P748443392y_bool(U_1281,U_1278))
        | ~ hBOOL(hAPP_P748443392y_bool(U_1281,hAPP_t1875766236har_ty(hAPP_l1948972481har_ty(produc251930284har_ty,sK149(U_1281)),sK150(U_1281)))) )
    & ! [U_1280] :
        ( ! [U_1275,U_1274] : hBOOL(hAPP_P748443392y_bool(U_1280,hAPP_t1875766236har_ty(hAPP_l1948972481har_ty(produc251930284har_ty,U_1275),U_1274)))
        | ~ hBOOL(hAPP_P748443392y_bool(U_1280,sK148(U_1280))) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK150]),skolemize(U_1276,sK150(U_1281))],[f_285_5]) ).

cnf(f_285_7,plain,
    ( hBOOL(hAPP_P748443392y_bool(U_1280,hAPP_t1875766236har_ty(hAPP_l1948972481har_ty(produc251930284har_ty,U_1275),U_1274)))
    | ~ hBOOL(hAPP_P748443392y_bool(U_1280,sK148(U_1280))) ),
    inference(clausify,[status(thm)],[f_285_6]) ).

cnf(f_285_8,plain,
    ( hBOOL(hAPP_P748443392y_bool(U_1281,U_1278))
    | ~ hBOOL(hAPP_P748443392y_bool(U_1281,hAPP_t1875766236har_ty(hAPP_l1948972481har_ty(produc251930284har_ty,sK149(U_1281)),sK150(U_1281)))) ),
    inference(clausify,[status(thm)],[f_285_6]) ).

fof(f_286_1,plain,
    ! [Pa] :
      ( ( ! [X1] : hBOOL(hAPP_P27757617y_bool(Pa,X1))
        | ? [A_1,B_2] : ~ hBOOL(hAPP_P27757617y_bool(Pa,hAPP_t708040077har_ty(hAPP_P827589667har_ty(produc1265154397har_ty,A_1),B_2))) )
      & ( ! [A_1,B_2] : hBOOL(hAPP_P27757617y_bool(Pa,hAPP_t708040077har_ty(hAPP_P827589667har_ty(produc1265154397har_ty,A_1),B_2)))
        | ? [X1] : ~ hBOOL(hAPP_P27757617y_bool(Pa,X1)) ) ),
    inference(fof_nnf,[status(thm)],[fact_144_split__paired__All]) ).

fof(f_286_2,plain,
    ! [U_1288] :
      ( ( ! [U_1287] : hBOOL(hAPP_P27757617y_bool(U_1288,U_1287))
        | ? [U_1286,U_1285] : ~ hBOOL(hAPP_P27757617y_bool(U_1288,hAPP_t708040077har_ty(hAPP_P827589667har_ty(produc1265154397har_ty,U_1286),U_1285))) )
      & ( ! [U_1284,U_1283] : hBOOL(hAPP_P27757617y_bool(U_1288,hAPP_t708040077har_ty(hAPP_P827589667har_ty(produc1265154397har_ty,U_1284),U_1283)))
        | ? [U_1282] : ~ hBOOL(hAPP_P27757617y_bool(U_1288,U_1282)) ) ),
    inference(variable_rename,[status(thm)],[f_286_1]) ).

fof(f_286_3,plain,
    ( ! [U_1290] :
        ( ! [U_1287] : hBOOL(hAPP_P27757617y_bool(U_1290,U_1287))
        | ? [U_1286,U_1285] : ~ hBOOL(hAPP_P27757617y_bool(U_1290,hAPP_t708040077har_ty(hAPP_P827589667har_ty(produc1265154397har_ty,U_1286),U_1285))) )
    & ! [U_1289] :
        ( ! [U_1284,U_1283] : hBOOL(hAPP_P27757617y_bool(U_1289,hAPP_t708040077har_ty(hAPP_P827589667har_ty(produc1265154397har_ty,U_1284),U_1283)))
        | ? [U_1282] : ~ hBOOL(hAPP_P27757617y_bool(U_1289,U_1282)) ) ),
    inference(miniscope,[status(thm)],[f_286_2]) ).

fof(f_286_4,plain,
    ( ! [U_1290] :
        ( ! [U_1287] : hBOOL(hAPP_P27757617y_bool(U_1290,U_1287))
        | ? [U_1286,U_1285] : ~ hBOOL(hAPP_P27757617y_bool(U_1290,hAPP_t708040077har_ty(hAPP_P827589667har_ty(produc1265154397har_ty,U_1286),U_1285))) )
    & ! [U_1289] :
        ( ! [U_1284,U_1283] : hBOOL(hAPP_P27757617y_bool(U_1289,hAPP_t708040077har_ty(hAPP_P827589667har_ty(produc1265154397har_ty,U_1284),U_1283)))
        | ~ hBOOL(hAPP_P27757617y_bool(U_1289,sK151(U_1289))) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK151]),skolemize(U_1282,sK151(U_1289))],[f_286_3]) ).

fof(f_286_5,plain,
    ( ! [U_1290] :
        ( ! [U_1287] : hBOOL(hAPP_P27757617y_bool(U_1290,U_1287))
        | ? [U_1285] : ~ hBOOL(hAPP_P27757617y_bool(U_1290,hAPP_t708040077har_ty(hAPP_P827589667har_ty(produc1265154397har_ty,sK152(U_1290)),U_1285))) )
    & ! [U_1289] :
        ( ! [U_1284,U_1283] : hBOOL(hAPP_P27757617y_bool(U_1289,hAPP_t708040077har_ty(hAPP_P827589667har_ty(produc1265154397har_ty,U_1284),U_1283)))
        | ~ hBOOL(hAPP_P27757617y_bool(U_1289,sK151(U_1289))) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK152]),skolemize(U_1286,sK152(U_1290))],[f_286_4]) ).

fof(f_286_6,plain,
    ( ! [U_1290] :
        ( ! [U_1287] : hBOOL(hAPP_P27757617y_bool(U_1290,U_1287))
        | ~ hBOOL(hAPP_P27757617y_bool(U_1290,hAPP_t708040077har_ty(hAPP_P827589667har_ty(produc1265154397har_ty,sK152(U_1290)),sK153(U_1290)))) )
    & ! [U_1289] :
        ( ! [U_1284,U_1283] : hBOOL(hAPP_P27757617y_bool(U_1289,hAPP_t708040077har_ty(hAPP_P827589667har_ty(produc1265154397har_ty,U_1284),U_1283)))
        | ~ hBOOL(hAPP_P27757617y_bool(U_1289,sK151(U_1289))) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK153]),skolemize(U_1285,sK153(U_1290))],[f_286_5]) ).

cnf(f_286_7,plain,
    ( hBOOL(hAPP_P27757617y_bool(U_1289,hAPP_t708040077har_ty(hAPP_P827589667har_ty(produc1265154397har_ty,U_1284),U_1283)))
    | ~ hBOOL(hAPP_P27757617y_bool(U_1289,sK151(U_1289))) ),
    inference(clausify,[status(thm)],[f_286_6]) ).

cnf(f_286_8,plain,
    ( hBOOL(hAPP_P27757617y_bool(U_1290,U_1287))
    | ~ hBOOL(hAPP_P27757617y_bool(U_1290,hAPP_t708040077har_ty(hAPP_P827589667har_ty(produc1265154397har_ty,sK152(U_1290)),sK153(U_1290)))) ),
    inference(clausify,[status(thm)],[f_286_6]) ).

fof(f_287_1,plain,
    ! [Pa] :
      ( ( ! [X1] : hBOOL(hAPP_P1384137393r_bool(Pa,X1))
        | ? [A_1,B_2] : ~ hBOOL(hAPP_P1384137393r_bool(Pa,hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,A_1),B_2))) )
      & ( ! [A_1,B_2] : hBOOL(hAPP_P1384137393r_bool(Pa,hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,A_1),B_2)))
        | ? [X1] : ~ hBOOL(hAPP_P1384137393r_bool(Pa,X1)) ) ),
    inference(fof_nnf,[status(thm)],[fact_145_split__paired__All]) ).

fof(f_287_2,plain,
    ! [U_1297] :
      ( ( ! [U_1296] : hBOOL(hAPP_P1384137393r_bool(U_1297,U_1296))
        | ? [U_1295,U_1294] : ~ hBOOL(hAPP_P1384137393r_bool(U_1297,hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,U_1295),U_1294))) )
      & ( ! [U_1293,U_1292] : hBOOL(hAPP_P1384137393r_bool(U_1297,hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,U_1293),U_1292)))
        | ? [U_1291] : ~ hBOOL(hAPP_P1384137393r_bool(U_1297,U_1291)) ) ),
    inference(variable_rename,[status(thm)],[f_287_1]) ).

fof(f_287_3,plain,
    ( ! [U_1299] :
        ( ! [U_1296] : hBOOL(hAPP_P1384137393r_bool(U_1299,U_1296))
        | ? [U_1295,U_1294] : ~ hBOOL(hAPP_P1384137393r_bool(U_1299,hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,U_1295),U_1294))) )
    & ! [U_1298] :
        ( ! [U_1293,U_1292] : hBOOL(hAPP_P1384137393r_bool(U_1298,hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,U_1293),U_1292)))
        | ? [U_1291] : ~ hBOOL(hAPP_P1384137393r_bool(U_1298,U_1291)) ) ),
    inference(miniscope,[status(thm)],[f_287_2]) ).

fof(f_287_4,plain,
    ( ! [U_1299] :
        ( ! [U_1296] : hBOOL(hAPP_P1384137393r_bool(U_1299,U_1296))
        | ? [U_1295,U_1294] : ~ hBOOL(hAPP_P1384137393r_bool(U_1299,hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,U_1295),U_1294))) )
    & ! [U_1298] :
        ( ! [U_1293,U_1292] : hBOOL(hAPP_P1384137393r_bool(U_1298,hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,U_1293),U_1292)))
        | ~ hBOOL(hAPP_P1384137393r_bool(U_1298,sK154(U_1298))) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK154]),skolemize(U_1291,sK154(U_1298))],[f_287_3]) ).

fof(f_287_5,plain,
    ( ! [U_1299] :
        ( ! [U_1296] : hBOOL(hAPP_P1384137393r_bool(U_1299,U_1296))
        | ? [U_1294] : ~ hBOOL(hAPP_P1384137393r_bool(U_1299,hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,sK155(U_1299)),U_1294))) )
    & ! [U_1298] :
        ( ! [U_1293,U_1292] : hBOOL(hAPP_P1384137393r_bool(U_1298,hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,U_1293),U_1292)))
        | ~ hBOOL(hAPP_P1384137393r_bool(U_1298,sK154(U_1298))) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK155]),skolemize(U_1295,sK155(U_1299))],[f_287_4]) ).

fof(f_287_6,plain,
    ( ! [U_1299] :
        ( ! [U_1296] : hBOOL(hAPP_P1384137393r_bool(U_1299,U_1296))
        | ~ hBOOL(hAPP_P1384137393r_bool(U_1299,hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,sK155(U_1299)),sK156(U_1299)))) )
    & ! [U_1298] :
        ( ! [U_1293,U_1292] : hBOOL(hAPP_P1384137393r_bool(U_1298,hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,U_1293),U_1292)))
        | ~ hBOOL(hAPP_P1384137393r_bool(U_1298,sK154(U_1298))) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK156]),skolemize(U_1294,sK156(U_1299))],[f_287_5]) ).

cnf(f_287_7,plain,
    ( hBOOL(hAPP_P1384137393r_bool(U_1298,hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,U_1293),U_1292)))
    | ~ hBOOL(hAPP_P1384137393r_bool(U_1298,sK154(U_1298))) ),
    inference(clausify,[status(thm)],[f_287_6]) ).

cnf(f_287_8,plain,
    ( hBOOL(hAPP_P1384137393r_bool(U_1299,U_1296))
    | ~ hBOOL(hAPP_P1384137393r_bool(U_1299,hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,sK155(U_1299)),sK156(U_1299)))) ),
    inference(clausify,[status(thm)],[f_287_6]) ).

fof(f_288_1,plain,
    ! [Pa] :
      ( ( ! [X1] : hBOOL(hAPP_P1002912327r_bool(Pa,X1))
        | ? [A_1,B_2] : ~ hBOOL(hAPP_P1002912327r_bool(Pa,hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,A_1),B_2))) )
      & ( ! [A_1,B_2] : hBOOL(hAPP_P1002912327r_bool(Pa,hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,A_1),B_2)))
        | ? [X1] : ~ hBOOL(hAPP_P1002912327r_bool(Pa,X1)) ) ),
    inference(fof_nnf,[status(thm)],[fact_146_split__paired__All]) ).

fof(f_288_2,plain,
    ! [U_1306] :
      ( ( ! [U_1305] : hBOOL(hAPP_P1002912327r_bool(U_1306,U_1305))
        | ? [U_1304,U_1303] : ~ hBOOL(hAPP_P1002912327r_bool(U_1306,hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,U_1304),U_1303))) )
      & ( ! [U_1302,U_1301] : hBOOL(hAPP_P1002912327r_bool(U_1306,hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,U_1302),U_1301)))
        | ? [U_1300] : ~ hBOOL(hAPP_P1002912327r_bool(U_1306,U_1300)) ) ),
    inference(variable_rename,[status(thm)],[f_288_1]) ).

fof(f_288_3,plain,
    ( ! [U_1308] :
        ( ! [U_1305] : hBOOL(hAPP_P1002912327r_bool(U_1308,U_1305))
        | ? [U_1304,U_1303] : ~ hBOOL(hAPP_P1002912327r_bool(U_1308,hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,U_1304),U_1303))) )
    & ! [U_1307] :
        ( ! [U_1302,U_1301] : hBOOL(hAPP_P1002912327r_bool(U_1307,hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,U_1302),U_1301)))
        | ? [U_1300] : ~ hBOOL(hAPP_P1002912327r_bool(U_1307,U_1300)) ) ),
    inference(miniscope,[status(thm)],[f_288_2]) ).

fof(f_288_4,plain,
    ( ! [U_1308] :
        ( ! [U_1305] : hBOOL(hAPP_P1002912327r_bool(U_1308,U_1305))
        | ? [U_1304,U_1303] : ~ hBOOL(hAPP_P1002912327r_bool(U_1308,hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,U_1304),U_1303))) )
    & ! [U_1307] :
        ( ! [U_1302,U_1301] : hBOOL(hAPP_P1002912327r_bool(U_1307,hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,U_1302),U_1301)))
        | ~ hBOOL(hAPP_P1002912327r_bool(U_1307,sK157(U_1307))) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK157]),skolemize(U_1300,sK157(U_1307))],[f_288_3]) ).

fof(f_288_5,plain,
    ( ! [U_1308] :
        ( ! [U_1305] : hBOOL(hAPP_P1002912327r_bool(U_1308,U_1305))
        | ? [U_1303] : ~ hBOOL(hAPP_P1002912327r_bool(U_1308,hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,sK158(U_1308)),U_1303))) )
    & ! [U_1307] :
        ( ! [U_1302,U_1301] : hBOOL(hAPP_P1002912327r_bool(U_1307,hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,U_1302),U_1301)))
        | ~ hBOOL(hAPP_P1002912327r_bool(U_1307,sK157(U_1307))) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK158]),skolemize(U_1304,sK158(U_1308))],[f_288_4]) ).

fof(f_288_6,plain,
    ( ! [U_1308] :
        ( ! [U_1305] : hBOOL(hAPP_P1002912327r_bool(U_1308,U_1305))
        | ~ hBOOL(hAPP_P1002912327r_bool(U_1308,hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,sK158(U_1308)),sK159(U_1308)))) )
    & ! [U_1307] :
        ( ! [U_1302,U_1301] : hBOOL(hAPP_P1002912327r_bool(U_1307,hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,U_1302),U_1301)))
        | ~ hBOOL(hAPP_P1002912327r_bool(U_1307,sK157(U_1307))) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK159]),skolemize(U_1303,sK159(U_1308))],[f_288_5]) ).

cnf(f_288_7,plain,
    ( hBOOL(hAPP_P1002912327r_bool(U_1307,hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,U_1302),U_1301)))
    | ~ hBOOL(hAPP_P1002912327r_bool(U_1307,sK157(U_1307))) ),
    inference(clausify,[status(thm)],[f_288_6]) ).

cnf(f_288_8,plain,
    ( hBOOL(hAPP_P1002912327r_bool(U_1308,U_1305))
    | ~ hBOOL(hAPP_P1002912327r_bool(U_1308,hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,sK158(U_1308)),sK159(U_1308)))) ),
    inference(clausify,[status(thm)],[f_288_6]) ).

fof(f_289_1,plain,
    ! [Pa] :
      ( ( ! [X1] : hBOOL(hAPP_P801803911r_bool(Pa,X1))
        | ? [A_1,B_2] : ~ hBOOL(hAPP_P801803911r_bool(Pa,hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,A_1),B_2))) )
      & ( ! [A_1,B_2] : hBOOL(hAPP_P801803911r_bool(Pa,hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,A_1),B_2)))
        | ? [X1] : ~ hBOOL(hAPP_P801803911r_bool(Pa,X1)) ) ),
    inference(fof_nnf,[status(thm)],[fact_147_split__paired__All]) ).

fof(f_289_2,plain,
    ! [U_1315] :
      ( ( ! [U_1314] : hBOOL(hAPP_P801803911r_bool(U_1315,U_1314))
        | ? [U_1313,U_1312] : ~ hBOOL(hAPP_P801803911r_bool(U_1315,hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,U_1313),U_1312))) )
      & ( ! [U_1311,U_1310] : hBOOL(hAPP_P801803911r_bool(U_1315,hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,U_1311),U_1310)))
        | ? [U_1309] : ~ hBOOL(hAPP_P801803911r_bool(U_1315,U_1309)) ) ),
    inference(variable_rename,[status(thm)],[f_289_1]) ).

fof(f_289_3,plain,
    ( ! [U_1317] :
        ( ! [U_1314] : hBOOL(hAPP_P801803911r_bool(U_1317,U_1314))
        | ? [U_1313,U_1312] : ~ hBOOL(hAPP_P801803911r_bool(U_1317,hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,U_1313),U_1312))) )
    & ! [U_1316] :
        ( ! [U_1311,U_1310] : hBOOL(hAPP_P801803911r_bool(U_1316,hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,U_1311),U_1310)))
        | ? [U_1309] : ~ hBOOL(hAPP_P801803911r_bool(U_1316,U_1309)) ) ),
    inference(miniscope,[status(thm)],[f_289_2]) ).

fof(f_289_4,plain,
    ( ! [U_1317] :
        ( ! [U_1314] : hBOOL(hAPP_P801803911r_bool(U_1317,U_1314))
        | ? [U_1313,U_1312] : ~ hBOOL(hAPP_P801803911r_bool(U_1317,hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,U_1313),U_1312))) )
    & ! [U_1316] :
        ( ! [U_1311,U_1310] : hBOOL(hAPP_P801803911r_bool(U_1316,hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,U_1311),U_1310)))
        | ~ hBOOL(hAPP_P801803911r_bool(U_1316,sK160(U_1316))) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK160]),skolemize(U_1309,sK160(U_1316))],[f_289_3]) ).

fof(f_289_5,plain,
    ( ! [U_1317] :
        ( ! [U_1314] : hBOOL(hAPP_P801803911r_bool(U_1317,U_1314))
        | ? [U_1312] : ~ hBOOL(hAPP_P801803911r_bool(U_1317,hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,sK161(U_1317)),U_1312))) )
    & ! [U_1316] :
        ( ! [U_1311,U_1310] : hBOOL(hAPP_P801803911r_bool(U_1316,hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,U_1311),U_1310)))
        | ~ hBOOL(hAPP_P801803911r_bool(U_1316,sK160(U_1316))) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK161]),skolemize(U_1313,sK161(U_1317))],[f_289_4]) ).

fof(f_289_6,plain,
    ( ! [U_1317] :
        ( ! [U_1314] : hBOOL(hAPP_P801803911r_bool(U_1317,U_1314))
        | ~ hBOOL(hAPP_P801803911r_bool(U_1317,hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,sK161(U_1317)),sK162(U_1317)))) )
    & ! [U_1316] :
        ( ! [U_1311,U_1310] : hBOOL(hAPP_P801803911r_bool(U_1316,hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,U_1311),U_1310)))
        | ~ hBOOL(hAPP_P801803911r_bool(U_1316,sK160(U_1316))) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK162]),skolemize(U_1312,sK162(U_1317))],[f_289_5]) ).

cnf(f_289_7,plain,
    ( hBOOL(hAPP_P801803911r_bool(U_1316,hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,U_1311),U_1310)))
    | ~ hBOOL(hAPP_P801803911r_bool(U_1316,sK160(U_1316))) ),
    inference(clausify,[status(thm)],[f_289_6]) ).

cnf(f_289_8,plain,
    ( hBOOL(hAPP_P801803911r_bool(U_1317,U_1314))
    | ~ hBOOL(hAPP_P801803911r_bool(U_1317,hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,sK161(U_1317)),sK162(U_1317)))) ),
    inference(clausify,[status(thm)],[f_289_6]) ).

fof(f_290_1,plain,
    ! [Pa] :
      ( ( ! [X1] : hBOOL(hAPP_P929449287r_bool(Pa,X1))
        | ? [A_1,B_2] : ~ hBOOL(hAPP_P929449287r_bool(Pa,hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,A_1),B_2))) )
      & ( ! [A_1,B_2] : hBOOL(hAPP_P929449287r_bool(Pa,hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,A_1),B_2)))
        | ? [X1] : ~ hBOOL(hAPP_P929449287r_bool(Pa,X1)) ) ),
    inference(fof_nnf,[status(thm)],[fact_148_split__paired__All]) ).

fof(f_290_2,plain,
    ! [U_1324] :
      ( ( ! [U_1323] : hBOOL(hAPP_P929449287r_bool(U_1324,U_1323))
        | ? [U_1322,U_1321] : ~ hBOOL(hAPP_P929449287r_bool(U_1324,hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,U_1322),U_1321))) )
      & ( ! [U_1320,U_1319] : hBOOL(hAPP_P929449287r_bool(U_1324,hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,U_1320),U_1319)))
        | ? [U_1318] : ~ hBOOL(hAPP_P929449287r_bool(U_1324,U_1318)) ) ),
    inference(variable_rename,[status(thm)],[f_290_1]) ).

fof(f_290_3,plain,
    ( ! [U_1326] :
        ( ! [U_1323] : hBOOL(hAPP_P929449287r_bool(U_1326,U_1323))
        | ? [U_1322,U_1321] : ~ hBOOL(hAPP_P929449287r_bool(U_1326,hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,U_1322),U_1321))) )
    & ! [U_1325] :
        ( ! [U_1320,U_1319] : hBOOL(hAPP_P929449287r_bool(U_1325,hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,U_1320),U_1319)))
        | ? [U_1318] : ~ hBOOL(hAPP_P929449287r_bool(U_1325,U_1318)) ) ),
    inference(miniscope,[status(thm)],[f_290_2]) ).

fof(f_290_4,plain,
    ( ! [U_1326] :
        ( ! [U_1323] : hBOOL(hAPP_P929449287r_bool(U_1326,U_1323))
        | ? [U_1322,U_1321] : ~ hBOOL(hAPP_P929449287r_bool(U_1326,hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,U_1322),U_1321))) )
    & ! [U_1325] :
        ( ! [U_1320,U_1319] : hBOOL(hAPP_P929449287r_bool(U_1325,hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,U_1320),U_1319)))
        | ~ hBOOL(hAPP_P929449287r_bool(U_1325,sK163(U_1325))) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK163]),skolemize(U_1318,sK163(U_1325))],[f_290_3]) ).

fof(f_290_5,plain,
    ( ! [U_1326] :
        ( ! [U_1323] : hBOOL(hAPP_P929449287r_bool(U_1326,U_1323))
        | ? [U_1321] : ~ hBOOL(hAPP_P929449287r_bool(U_1326,hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,sK164(U_1326)),U_1321))) )
    & ! [U_1325] :
        ( ! [U_1320,U_1319] : hBOOL(hAPP_P929449287r_bool(U_1325,hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,U_1320),U_1319)))
        | ~ hBOOL(hAPP_P929449287r_bool(U_1325,sK163(U_1325))) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK164]),skolemize(U_1322,sK164(U_1326))],[f_290_4]) ).

fof(f_290_6,plain,
    ( ! [U_1326] :
        ( ! [U_1323] : hBOOL(hAPP_P929449287r_bool(U_1326,U_1323))
        | ~ hBOOL(hAPP_P929449287r_bool(U_1326,hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,sK164(U_1326)),sK165(U_1326)))) )
    & ! [U_1325] :
        ( ! [U_1320,U_1319] : hBOOL(hAPP_P929449287r_bool(U_1325,hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,U_1320),U_1319)))
        | ~ hBOOL(hAPP_P929449287r_bool(U_1325,sK163(U_1325))) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK165]),skolemize(U_1321,sK165(U_1326))],[f_290_5]) ).

cnf(f_290_7,plain,
    ( hBOOL(hAPP_P929449287r_bool(U_1325,hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,U_1320),U_1319)))
    | ~ hBOOL(hAPP_P929449287r_bool(U_1325,sK163(U_1325))) ),
    inference(clausify,[status(thm)],[f_290_6]) ).

cnf(f_290_8,plain,
    ( hBOOL(hAPP_P929449287r_bool(U_1326,U_1323))
    | ~ hBOOL(hAPP_P929449287r_bool(U_1326,hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,sK164(U_1326)),sK165(U_1326)))) ),
    inference(clausify,[status(thm)],[f_290_6]) ).

fof(f_291_1,plain,
    ! [Pa] :
      ( ( ! [X1] : hBOOL(hAPP_P975284999r_bool(Pa,X1))
        | ? [A_1,B_2] : ~ hBOOL(hAPP_P975284999r_bool(Pa,hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,A_1),B_2))) )
      & ( ! [A_1,B_2] : hBOOL(hAPP_P975284999r_bool(Pa,hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,A_1),B_2)))
        | ? [X1] : ~ hBOOL(hAPP_P975284999r_bool(Pa,X1)) ) ),
    inference(fof_nnf,[status(thm)],[fact_149_split__paired__All]) ).

fof(f_291_2,plain,
    ! [U_1333] :
      ( ( ! [U_1332] : hBOOL(hAPP_P975284999r_bool(U_1333,U_1332))
        | ? [U_1331,U_1330] : ~ hBOOL(hAPP_P975284999r_bool(U_1333,hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,U_1331),U_1330))) )
      & ( ! [U_1329,U_1328] : hBOOL(hAPP_P975284999r_bool(U_1333,hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,U_1329),U_1328)))
        | ? [U_1327] : ~ hBOOL(hAPP_P975284999r_bool(U_1333,U_1327)) ) ),
    inference(variable_rename,[status(thm)],[f_291_1]) ).

fof(f_291_3,plain,
    ( ! [U_1335] :
        ( ! [U_1332] : hBOOL(hAPP_P975284999r_bool(U_1335,U_1332))
        | ? [U_1331,U_1330] : ~ hBOOL(hAPP_P975284999r_bool(U_1335,hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,U_1331),U_1330))) )
    & ! [U_1334] :
        ( ! [U_1329,U_1328] : hBOOL(hAPP_P975284999r_bool(U_1334,hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,U_1329),U_1328)))
        | ? [U_1327] : ~ hBOOL(hAPP_P975284999r_bool(U_1334,U_1327)) ) ),
    inference(miniscope,[status(thm)],[f_291_2]) ).

fof(f_291_4,plain,
    ( ! [U_1335] :
        ( ! [U_1332] : hBOOL(hAPP_P975284999r_bool(U_1335,U_1332))
        | ? [U_1331,U_1330] : ~ hBOOL(hAPP_P975284999r_bool(U_1335,hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,U_1331),U_1330))) )
    & ! [U_1334] :
        ( ! [U_1329,U_1328] : hBOOL(hAPP_P975284999r_bool(U_1334,hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,U_1329),U_1328)))
        | ~ hBOOL(hAPP_P975284999r_bool(U_1334,sK166(U_1334))) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK166]),skolemize(U_1327,sK166(U_1334))],[f_291_3]) ).

fof(f_291_5,plain,
    ( ! [U_1335] :
        ( ! [U_1332] : hBOOL(hAPP_P975284999r_bool(U_1335,U_1332))
        | ? [U_1330] : ~ hBOOL(hAPP_P975284999r_bool(U_1335,hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,sK167(U_1335)),U_1330))) )
    & ! [U_1334] :
        ( ! [U_1329,U_1328] : hBOOL(hAPP_P975284999r_bool(U_1334,hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,U_1329),U_1328)))
        | ~ hBOOL(hAPP_P975284999r_bool(U_1334,sK166(U_1334))) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK167]),skolemize(U_1331,sK167(U_1335))],[f_291_4]) ).

fof(f_291_6,plain,
    ( ! [U_1335] :
        ( ! [U_1332] : hBOOL(hAPP_P975284999r_bool(U_1335,U_1332))
        | ~ hBOOL(hAPP_P975284999r_bool(U_1335,hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,sK167(U_1335)),sK168(U_1335)))) )
    & ! [U_1334] :
        ( ! [U_1329,U_1328] : hBOOL(hAPP_P975284999r_bool(U_1334,hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,U_1329),U_1328)))
        | ~ hBOOL(hAPP_P975284999r_bool(U_1334,sK166(U_1334))) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK168]),skolemize(U_1330,sK168(U_1335))],[f_291_5]) ).

cnf(f_291_7,plain,
    ( hBOOL(hAPP_P975284999r_bool(U_1334,hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,U_1329),U_1328)))
    | ~ hBOOL(hAPP_P975284999r_bool(U_1334,sK166(U_1334))) ),
    inference(clausify,[status(thm)],[f_291_6]) ).

cnf(f_291_8,plain,
    ( hBOOL(hAPP_P975284999r_bool(U_1335,U_1332))
    | ~ hBOOL(hAPP_P975284999r_bool(U_1335,hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,sK167(U_1335)),sK168(U_1335)))) ),
    inference(clausify,[status(thm)],[f_291_6]) ).

fof(f_292_1,plain,
    ! [Pa] :
      ( ( ! [X1] : hBOOL(hAPP_P1183499705r_bool(Pa,X1))
        | ? [A_1,B_2] : ~ hBOOL(hAPP_P1183499705r_bool(Pa,hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,A_1),B_2))) )
      & ( ! [A_1,B_2] : hBOOL(hAPP_P1183499705r_bool(Pa,hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,A_1),B_2)))
        | ? [X1] : ~ hBOOL(hAPP_P1183499705r_bool(Pa,X1)) ) ),
    inference(fof_nnf,[status(thm)],[fact_150_split__paired__All]) ).

fof(f_292_2,plain,
    ! [U_1342] :
      ( ( ! [U_1341] : hBOOL(hAPP_P1183499705r_bool(U_1342,U_1341))
        | ? [U_1340,U_1339] : ~ hBOOL(hAPP_P1183499705r_bool(U_1342,hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,U_1340),U_1339))) )
      & ( ! [U_1338,U_1337] : hBOOL(hAPP_P1183499705r_bool(U_1342,hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,U_1338),U_1337)))
        | ? [U_1336] : ~ hBOOL(hAPP_P1183499705r_bool(U_1342,U_1336)) ) ),
    inference(variable_rename,[status(thm)],[f_292_1]) ).

fof(f_292_3,plain,
    ( ! [U_1344] :
        ( ! [U_1341] : hBOOL(hAPP_P1183499705r_bool(U_1344,U_1341))
        | ? [U_1340,U_1339] : ~ hBOOL(hAPP_P1183499705r_bool(U_1344,hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,U_1340),U_1339))) )
    & ! [U_1343] :
        ( ! [U_1338,U_1337] : hBOOL(hAPP_P1183499705r_bool(U_1343,hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,U_1338),U_1337)))
        | ? [U_1336] : ~ hBOOL(hAPP_P1183499705r_bool(U_1343,U_1336)) ) ),
    inference(miniscope,[status(thm)],[f_292_2]) ).

fof(f_292_4,plain,
    ( ! [U_1344] :
        ( ! [U_1341] : hBOOL(hAPP_P1183499705r_bool(U_1344,U_1341))
        | ? [U_1340,U_1339] : ~ hBOOL(hAPP_P1183499705r_bool(U_1344,hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,U_1340),U_1339))) )
    & ! [U_1343] :
        ( ! [U_1338,U_1337] : hBOOL(hAPP_P1183499705r_bool(U_1343,hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,U_1338),U_1337)))
        | ~ hBOOL(hAPP_P1183499705r_bool(U_1343,sK169(U_1343))) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK169]),skolemize(U_1336,sK169(U_1343))],[f_292_3]) ).

fof(f_292_5,plain,
    ( ! [U_1344] :
        ( ! [U_1341] : hBOOL(hAPP_P1183499705r_bool(U_1344,U_1341))
        | ? [U_1339] : ~ hBOOL(hAPP_P1183499705r_bool(U_1344,hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,sK170(U_1344)),U_1339))) )
    & ! [U_1343] :
        ( ! [U_1338,U_1337] : hBOOL(hAPP_P1183499705r_bool(U_1343,hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,U_1338),U_1337)))
        | ~ hBOOL(hAPP_P1183499705r_bool(U_1343,sK169(U_1343))) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK170]),skolemize(U_1340,sK170(U_1344))],[f_292_4]) ).

fof(f_292_6,plain,
    ( ! [U_1344] :
        ( ! [U_1341] : hBOOL(hAPP_P1183499705r_bool(U_1344,U_1341))
        | ~ hBOOL(hAPP_P1183499705r_bool(U_1344,hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,sK170(U_1344)),sK171(U_1344)))) )
    & ! [U_1343] :
        ( ! [U_1338,U_1337] : hBOOL(hAPP_P1183499705r_bool(U_1343,hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,U_1338),U_1337)))
        | ~ hBOOL(hAPP_P1183499705r_bool(U_1343,sK169(U_1343))) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK171]),skolemize(U_1339,sK171(U_1344))],[f_292_5]) ).

cnf(f_292_7,plain,
    ( hBOOL(hAPP_P1183499705r_bool(U_1343,hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,U_1338),U_1337)))
    | ~ hBOOL(hAPP_P1183499705r_bool(U_1343,sK169(U_1343))) ),
    inference(clausify,[status(thm)],[f_292_6]) ).

cnf(f_292_8,plain,
    ( hBOOL(hAPP_P1183499705r_bool(U_1344,U_1341))
    | ~ hBOOL(hAPP_P1183499705r_bool(U_1344,hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,sK170(U_1344)),sK171(U_1344)))) ),
    inference(clausify,[status(thm)],[f_292_6]) ).

fof(f_293_1,plain,
    ! [Pa] :
      ( ( ! [X1] : hBOOL(hAPP_P1240100515r_bool(Pa,X1))
        | ? [A_1,B_2] : ~ hBOOL(hAPP_P1240100515r_bool(Pa,hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,A_1),B_2))) )
      & ( ! [A_1,B_2] : hBOOL(hAPP_P1240100515r_bool(Pa,hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,A_1),B_2)))
        | ? [X1] : ~ hBOOL(hAPP_P1240100515r_bool(Pa,X1)) ) ),
    inference(fof_nnf,[status(thm)],[fact_151_split__paired__All]) ).

fof(f_293_2,plain,
    ! [U_1351] :
      ( ( ! [U_1350] : hBOOL(hAPP_P1240100515r_bool(U_1351,U_1350))
        | ? [U_1349,U_1348] : ~ hBOOL(hAPP_P1240100515r_bool(U_1351,hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,U_1349),U_1348))) )
      & ( ! [U_1347,U_1346] : hBOOL(hAPP_P1240100515r_bool(U_1351,hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,U_1347),U_1346)))
        | ? [U_1345] : ~ hBOOL(hAPP_P1240100515r_bool(U_1351,U_1345)) ) ),
    inference(variable_rename,[status(thm)],[f_293_1]) ).

fof(f_293_3,plain,
    ( ! [U_1353] :
        ( ! [U_1350] : hBOOL(hAPP_P1240100515r_bool(U_1353,U_1350))
        | ? [U_1349,U_1348] : ~ hBOOL(hAPP_P1240100515r_bool(U_1353,hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,U_1349),U_1348))) )
    & ! [U_1352] :
        ( ! [U_1347,U_1346] : hBOOL(hAPP_P1240100515r_bool(U_1352,hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,U_1347),U_1346)))
        | ? [U_1345] : ~ hBOOL(hAPP_P1240100515r_bool(U_1352,U_1345)) ) ),
    inference(miniscope,[status(thm)],[f_293_2]) ).

fof(f_293_4,plain,
    ( ! [U_1353] :
        ( ! [U_1350] : hBOOL(hAPP_P1240100515r_bool(U_1353,U_1350))
        | ? [U_1349,U_1348] : ~ hBOOL(hAPP_P1240100515r_bool(U_1353,hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,U_1349),U_1348))) )
    & ! [U_1352] :
        ( ! [U_1347,U_1346] : hBOOL(hAPP_P1240100515r_bool(U_1352,hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,U_1347),U_1346)))
        | ~ hBOOL(hAPP_P1240100515r_bool(U_1352,sK172(U_1352))) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK172]),skolemize(U_1345,sK172(U_1352))],[f_293_3]) ).

fof(f_293_5,plain,
    ( ! [U_1353] :
        ( ! [U_1350] : hBOOL(hAPP_P1240100515r_bool(U_1353,U_1350))
        | ? [U_1348] : ~ hBOOL(hAPP_P1240100515r_bool(U_1353,hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,sK173(U_1353)),U_1348))) )
    & ! [U_1352] :
        ( ! [U_1347,U_1346] : hBOOL(hAPP_P1240100515r_bool(U_1352,hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,U_1347),U_1346)))
        | ~ hBOOL(hAPP_P1240100515r_bool(U_1352,sK172(U_1352))) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK173]),skolemize(U_1349,sK173(U_1353))],[f_293_4]) ).

fof(f_293_6,plain,
    ( ! [U_1353] :
        ( ! [U_1350] : hBOOL(hAPP_P1240100515r_bool(U_1353,U_1350))
        | ~ hBOOL(hAPP_P1240100515r_bool(U_1353,hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,sK173(U_1353)),sK174(U_1353)))) )
    & ! [U_1352] :
        ( ! [U_1347,U_1346] : hBOOL(hAPP_P1240100515r_bool(U_1352,hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,U_1347),U_1346)))
        | ~ hBOOL(hAPP_P1240100515r_bool(U_1352,sK172(U_1352))) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK174]),skolemize(U_1348,sK174(U_1353))],[f_293_5]) ).

cnf(f_293_7,plain,
    ( hBOOL(hAPP_P1240100515r_bool(U_1352,hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,U_1347),U_1346)))
    | ~ hBOOL(hAPP_P1240100515r_bool(U_1352,sK172(U_1352))) ),
    inference(clausify,[status(thm)],[f_293_6]) ).

cnf(f_293_8,plain,
    ( hBOOL(hAPP_P1240100515r_bool(U_1353,U_1350))
    | ~ hBOOL(hAPP_P1240100515r_bool(U_1353,hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,sK173(U_1353)),sK174(U_1353)))) ),
    inference(clausify,[status(thm)],[f_293_6]) ).

fof(f_294_1,plain,
    ! [Pa] :
      ( ( ! [X1] : hBOOL(hAPP_P824029447r_bool(Pa,X1))
        | ? [A_1,B_2] : ~ hBOOL(hAPP_P824029447r_bool(Pa,hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,A_1),B_2))) )
      & ( ! [A_1,B_2] : hBOOL(hAPP_P824029447r_bool(Pa,hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,A_1),B_2)))
        | ? [X1] : ~ hBOOL(hAPP_P824029447r_bool(Pa,X1)) ) ),
    inference(fof_nnf,[status(thm)],[fact_152_split__paired__All]) ).

fof(f_294_2,plain,
    ! [U_1360] :
      ( ( ! [U_1359] : hBOOL(hAPP_P824029447r_bool(U_1360,U_1359))
        | ? [U_1358,U_1357] : ~ hBOOL(hAPP_P824029447r_bool(U_1360,hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,U_1358),U_1357))) )
      & ( ! [U_1356,U_1355] : hBOOL(hAPP_P824029447r_bool(U_1360,hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,U_1356),U_1355)))
        | ? [U_1354] : ~ hBOOL(hAPP_P824029447r_bool(U_1360,U_1354)) ) ),
    inference(variable_rename,[status(thm)],[f_294_1]) ).

fof(f_294_3,plain,
    ( ! [U_1362] :
        ( ! [U_1359] : hBOOL(hAPP_P824029447r_bool(U_1362,U_1359))
        | ? [U_1358,U_1357] : ~ hBOOL(hAPP_P824029447r_bool(U_1362,hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,U_1358),U_1357))) )
    & ! [U_1361] :
        ( ! [U_1356,U_1355] : hBOOL(hAPP_P824029447r_bool(U_1361,hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,U_1356),U_1355)))
        | ? [U_1354] : ~ hBOOL(hAPP_P824029447r_bool(U_1361,U_1354)) ) ),
    inference(miniscope,[status(thm)],[f_294_2]) ).

fof(f_294_4,plain,
    ( ! [U_1362] :
        ( ! [U_1359] : hBOOL(hAPP_P824029447r_bool(U_1362,U_1359))
        | ? [U_1358,U_1357] : ~ hBOOL(hAPP_P824029447r_bool(U_1362,hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,U_1358),U_1357))) )
    & ! [U_1361] :
        ( ! [U_1356,U_1355] : hBOOL(hAPP_P824029447r_bool(U_1361,hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,U_1356),U_1355)))
        | ~ hBOOL(hAPP_P824029447r_bool(U_1361,sK175(U_1361))) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK175]),skolemize(U_1354,sK175(U_1361))],[f_294_3]) ).

fof(f_294_5,plain,
    ( ! [U_1362] :
        ( ! [U_1359] : hBOOL(hAPP_P824029447r_bool(U_1362,U_1359))
        | ? [U_1357] : ~ hBOOL(hAPP_P824029447r_bool(U_1362,hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,sK176(U_1362)),U_1357))) )
    & ! [U_1361] :
        ( ! [U_1356,U_1355] : hBOOL(hAPP_P824029447r_bool(U_1361,hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,U_1356),U_1355)))
        | ~ hBOOL(hAPP_P824029447r_bool(U_1361,sK175(U_1361))) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK176]),skolemize(U_1358,sK176(U_1362))],[f_294_4]) ).

fof(f_294_6,plain,
    ( ! [U_1362] :
        ( ! [U_1359] : hBOOL(hAPP_P824029447r_bool(U_1362,U_1359))
        | ~ hBOOL(hAPP_P824029447r_bool(U_1362,hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,sK176(U_1362)),sK177(U_1362)))) )
    & ! [U_1361] :
        ( ! [U_1356,U_1355] : hBOOL(hAPP_P824029447r_bool(U_1361,hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,U_1356),U_1355)))
        | ~ hBOOL(hAPP_P824029447r_bool(U_1361,sK175(U_1361))) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK177]),skolemize(U_1357,sK177(U_1362))],[f_294_5]) ).

cnf(f_294_7,plain,
    ( hBOOL(hAPP_P824029447r_bool(U_1361,hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,U_1356),U_1355)))
    | ~ hBOOL(hAPP_P824029447r_bool(U_1361,sK175(U_1361))) ),
    inference(clausify,[status(thm)],[f_294_6]) ).

cnf(f_294_8,plain,
    ( hBOOL(hAPP_P824029447r_bool(U_1362,U_1359))
    | ~ hBOOL(hAPP_P824029447r_bool(U_1362,hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,sK176(U_1362)),sK177(U_1362)))) ),
    inference(clausify,[status(thm)],[f_294_6]) ).

fof(f_295_1,plain,
    ! [Pa] :
      ( ( ! [X1] : hBOOL(hAPP_P2028072621l_bool(Pa,X1))
        | ? [A_1,B_2] : ~ hBOOL(hAPP_P2028072621l_bool(Pa,hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,A_1),B_2))) )
      & ( ! [A_1,B_2] : hBOOL(hAPP_P2028072621l_bool(Pa,hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,A_1),B_2)))
        | ? [X1] : ~ hBOOL(hAPP_P2028072621l_bool(Pa,X1)) ) ),
    inference(fof_nnf,[status(thm)],[fact_153_split__paired__All]) ).

fof(f_295_2,plain,
    ! [U_1369] :
      ( ( ! [U_1368] : hBOOL(hAPP_P2028072621l_bool(U_1369,U_1368))
        | ? [U_1367,U_1366] : ~ hBOOL(hAPP_P2028072621l_bool(U_1369,hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,U_1367),U_1366))) )
      & ( ! [U_1365,U_1364] : hBOOL(hAPP_P2028072621l_bool(U_1369,hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,U_1365),U_1364)))
        | ? [U_1363] : ~ hBOOL(hAPP_P2028072621l_bool(U_1369,U_1363)) ) ),
    inference(variable_rename,[status(thm)],[f_295_1]) ).

fof(f_295_3,plain,
    ( ! [U_1371] :
        ( ! [U_1368] : hBOOL(hAPP_P2028072621l_bool(U_1371,U_1368))
        | ? [U_1367,U_1366] : ~ hBOOL(hAPP_P2028072621l_bool(U_1371,hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,U_1367),U_1366))) )
    & ! [U_1370] :
        ( ! [U_1365,U_1364] : hBOOL(hAPP_P2028072621l_bool(U_1370,hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,U_1365),U_1364)))
        | ? [U_1363] : ~ hBOOL(hAPP_P2028072621l_bool(U_1370,U_1363)) ) ),
    inference(miniscope,[status(thm)],[f_295_2]) ).

fof(f_295_4,plain,
    ( ! [U_1371] :
        ( ! [U_1368] : hBOOL(hAPP_P2028072621l_bool(U_1371,U_1368))
        | ? [U_1367,U_1366] : ~ hBOOL(hAPP_P2028072621l_bool(U_1371,hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,U_1367),U_1366))) )
    & ! [U_1370] :
        ( ! [U_1365,U_1364] : hBOOL(hAPP_P2028072621l_bool(U_1370,hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,U_1365),U_1364)))
        | ~ hBOOL(hAPP_P2028072621l_bool(U_1370,sK178(U_1370))) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK178]),skolemize(U_1363,sK178(U_1370))],[f_295_3]) ).

fof(f_295_5,plain,
    ( ! [U_1371] :
        ( ! [U_1368] : hBOOL(hAPP_P2028072621l_bool(U_1371,U_1368))
        | ? [U_1366] : ~ hBOOL(hAPP_P2028072621l_bool(U_1371,hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,sK179(U_1371)),U_1366))) )
    & ! [U_1370] :
        ( ! [U_1365,U_1364] : hBOOL(hAPP_P2028072621l_bool(U_1370,hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,U_1365),U_1364)))
        | ~ hBOOL(hAPP_P2028072621l_bool(U_1370,sK178(U_1370))) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK179]),skolemize(U_1367,sK179(U_1371))],[f_295_4]) ).

fof(f_295_6,plain,
    ( ! [U_1371] :
        ( ! [U_1368] : hBOOL(hAPP_P2028072621l_bool(U_1371,U_1368))
        | ~ hBOOL(hAPP_P2028072621l_bool(U_1371,hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,sK179(U_1371)),sK180(U_1371)))) )
    & ! [U_1370] :
        ( ! [U_1365,U_1364] : hBOOL(hAPP_P2028072621l_bool(U_1370,hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,U_1365),U_1364)))
        | ~ hBOOL(hAPP_P2028072621l_bool(U_1370,sK178(U_1370))) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK180]),skolemize(U_1366,sK180(U_1371))],[f_295_5]) ).

cnf(f_295_7,plain,
    ( hBOOL(hAPP_P2028072621l_bool(U_1370,hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,U_1365),U_1364)))
    | ~ hBOOL(hAPP_P2028072621l_bool(U_1370,sK178(U_1370))) ),
    inference(clausify,[status(thm)],[f_295_6]) ).

cnf(f_295_8,plain,
    ( hBOOL(hAPP_P2028072621l_bool(U_1371,U_1368))
    | ~ hBOOL(hAPP_P2028072621l_bool(U_1371,hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,sK179(U_1371)),sK180(U_1371)))) ),
    inference(clausify,[status(thm)],[f_295_6]) ).

fof(f_296_1,plain,
    ! [Pa] :
      ( ( ! [X1] : hBOOL(hAPP_P2123002749l_bool(Pa,X1))
        | ? [A_1,B_2] : ~ hBOOL(hAPP_P2123002749l_bool(Pa,hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,A_1),B_2))) )
      & ( ! [A_1,B_2] : hBOOL(hAPP_P2123002749l_bool(Pa,hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,A_1),B_2)))
        | ? [X1] : ~ hBOOL(hAPP_P2123002749l_bool(Pa,X1)) ) ),
    inference(fof_nnf,[status(thm)],[fact_154_split__paired__All]) ).

fof(f_296_2,plain,
    ! [U_1378] :
      ( ( ! [U_1377] : hBOOL(hAPP_P2123002749l_bool(U_1378,U_1377))
        | ? [U_1376,U_1375] : ~ hBOOL(hAPP_P2123002749l_bool(U_1378,hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,U_1376),U_1375))) )
      & ( ! [U_1374,U_1373] : hBOOL(hAPP_P2123002749l_bool(U_1378,hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,U_1374),U_1373)))
        | ? [U_1372] : ~ hBOOL(hAPP_P2123002749l_bool(U_1378,U_1372)) ) ),
    inference(variable_rename,[status(thm)],[f_296_1]) ).

fof(f_296_3,plain,
    ( ! [U_1380] :
        ( ! [U_1377] : hBOOL(hAPP_P2123002749l_bool(U_1380,U_1377))
        | ? [U_1376,U_1375] : ~ hBOOL(hAPP_P2123002749l_bool(U_1380,hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,U_1376),U_1375))) )
    & ! [U_1379] :
        ( ! [U_1374,U_1373] : hBOOL(hAPP_P2123002749l_bool(U_1379,hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,U_1374),U_1373)))
        | ? [U_1372] : ~ hBOOL(hAPP_P2123002749l_bool(U_1379,U_1372)) ) ),
    inference(miniscope,[status(thm)],[f_296_2]) ).

fof(f_296_4,plain,
    ( ! [U_1380] :
        ( ! [U_1377] : hBOOL(hAPP_P2123002749l_bool(U_1380,U_1377))
        | ? [U_1376,U_1375] : ~ hBOOL(hAPP_P2123002749l_bool(U_1380,hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,U_1376),U_1375))) )
    & ! [U_1379] :
        ( ! [U_1374,U_1373] : hBOOL(hAPP_P2123002749l_bool(U_1379,hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,U_1374),U_1373)))
        | ~ hBOOL(hAPP_P2123002749l_bool(U_1379,sK181(U_1379))) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK181]),skolemize(U_1372,sK181(U_1379))],[f_296_3]) ).

fof(f_296_5,plain,
    ( ! [U_1380] :
        ( ! [U_1377] : hBOOL(hAPP_P2123002749l_bool(U_1380,U_1377))
        | ? [U_1375] : ~ hBOOL(hAPP_P2123002749l_bool(U_1380,hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,sK182(U_1380)),U_1375))) )
    & ! [U_1379] :
        ( ! [U_1374,U_1373] : hBOOL(hAPP_P2123002749l_bool(U_1379,hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,U_1374),U_1373)))
        | ~ hBOOL(hAPP_P2123002749l_bool(U_1379,sK181(U_1379))) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK182]),skolemize(U_1376,sK182(U_1380))],[f_296_4]) ).

fof(f_296_6,plain,
    ( ! [U_1380] :
        ( ! [U_1377] : hBOOL(hAPP_P2123002749l_bool(U_1380,U_1377))
        | ~ hBOOL(hAPP_P2123002749l_bool(U_1380,hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,sK182(U_1380)),sK183(U_1380)))) )
    & ! [U_1379] :
        ( ! [U_1374,U_1373] : hBOOL(hAPP_P2123002749l_bool(U_1379,hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,U_1374),U_1373)))
        | ~ hBOOL(hAPP_P2123002749l_bool(U_1379,sK181(U_1379))) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK183]),skolemize(U_1375,sK183(U_1380))],[f_296_5]) ).

cnf(f_296_7,plain,
    ( hBOOL(hAPP_P2123002749l_bool(U_1379,hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,U_1374),U_1373)))
    | ~ hBOOL(hAPP_P2123002749l_bool(U_1379,sK181(U_1379))) ),
    inference(clausify,[status(thm)],[f_296_6]) ).

cnf(f_296_8,plain,
    ( hBOOL(hAPP_P2123002749l_bool(U_1380,U_1377))
    | ~ hBOOL(hAPP_P2123002749l_bool(U_1380,hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,sK182(U_1380)),sK183(U_1380)))) ),
    inference(clausify,[status(thm)],[f_296_6]) ).

fof(f_297_1,plain,
    ! [Pa] :
      ( ( ! [X1] : hBOOL(hAPP_P738987199l_bool(Pa,X1))
        | ? [A_1,B_2] : ~ hBOOL(hAPP_P738987199l_bool(Pa,hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,A_1),B_2))) )
      & ( ! [A_1,B_2] : hBOOL(hAPP_P738987199l_bool(Pa,hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,A_1),B_2)))
        | ? [X1] : ~ hBOOL(hAPP_P738987199l_bool(Pa,X1)) ) ),
    inference(fof_nnf,[status(thm)],[fact_155_split__paired__All]) ).

fof(f_297_2,plain,
    ! [U_1387] :
      ( ( ! [U_1386] : hBOOL(hAPP_P738987199l_bool(U_1387,U_1386))
        | ? [U_1385,U_1384] : ~ hBOOL(hAPP_P738987199l_bool(U_1387,hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,U_1385),U_1384))) )
      & ( ! [U_1383,U_1382] : hBOOL(hAPP_P738987199l_bool(U_1387,hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,U_1383),U_1382)))
        | ? [U_1381] : ~ hBOOL(hAPP_P738987199l_bool(U_1387,U_1381)) ) ),
    inference(variable_rename,[status(thm)],[f_297_1]) ).

fof(f_297_3,plain,
    ( ! [U_1389] :
        ( ! [U_1386] : hBOOL(hAPP_P738987199l_bool(U_1389,U_1386))
        | ? [U_1385,U_1384] : ~ hBOOL(hAPP_P738987199l_bool(U_1389,hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,U_1385),U_1384))) )
    & ! [U_1388] :
        ( ! [U_1383,U_1382] : hBOOL(hAPP_P738987199l_bool(U_1388,hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,U_1383),U_1382)))
        | ? [U_1381] : ~ hBOOL(hAPP_P738987199l_bool(U_1388,U_1381)) ) ),
    inference(miniscope,[status(thm)],[f_297_2]) ).

fof(f_297_4,plain,
    ( ! [U_1389] :
        ( ! [U_1386] : hBOOL(hAPP_P738987199l_bool(U_1389,U_1386))
        | ? [U_1385,U_1384] : ~ hBOOL(hAPP_P738987199l_bool(U_1389,hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,U_1385),U_1384))) )
    & ! [U_1388] :
        ( ! [U_1383,U_1382] : hBOOL(hAPP_P738987199l_bool(U_1388,hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,U_1383),U_1382)))
        | ~ hBOOL(hAPP_P738987199l_bool(U_1388,sK184(U_1388))) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK184]),skolemize(U_1381,sK184(U_1388))],[f_297_3]) ).

fof(f_297_5,plain,
    ( ! [U_1389] :
        ( ! [U_1386] : hBOOL(hAPP_P738987199l_bool(U_1389,U_1386))
        | ? [U_1384] : ~ hBOOL(hAPP_P738987199l_bool(U_1389,hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,sK185(U_1389)),U_1384))) )
    & ! [U_1388] :
        ( ! [U_1383,U_1382] : hBOOL(hAPP_P738987199l_bool(U_1388,hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,U_1383),U_1382)))
        | ~ hBOOL(hAPP_P738987199l_bool(U_1388,sK184(U_1388))) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK185]),skolemize(U_1385,sK185(U_1389))],[f_297_4]) ).

fof(f_297_6,plain,
    ( ! [U_1389] :
        ( ! [U_1386] : hBOOL(hAPP_P738987199l_bool(U_1389,U_1386))
        | ~ hBOOL(hAPP_P738987199l_bool(U_1389,hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,sK185(U_1389)),sK186(U_1389)))) )
    & ! [U_1388] :
        ( ! [U_1383,U_1382] : hBOOL(hAPP_P738987199l_bool(U_1388,hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,U_1383),U_1382)))
        | ~ hBOOL(hAPP_P738987199l_bool(U_1388,sK184(U_1388))) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK186]),skolemize(U_1384,sK186(U_1389))],[f_297_5]) ).

cnf(f_297_7,plain,
    ( hBOOL(hAPP_P738987199l_bool(U_1388,hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,U_1383),U_1382)))
    | ~ hBOOL(hAPP_P738987199l_bool(U_1388,sK184(U_1388))) ),
    inference(clausify,[status(thm)],[f_297_6]) ).

cnf(f_297_8,plain,
    ( hBOOL(hAPP_P738987199l_bool(U_1389,U_1386))
    | ~ hBOOL(hAPP_P738987199l_bool(U_1389,hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,sK185(U_1389)),sK186(U_1389)))) ),
    inference(clausify,[status(thm)],[f_297_6]) ).

fof(f_298_1,plain,
    ! [Pa] :
      ( ( ! [X1] : hBOOL(hAPP_P2010574925r_bool(Pa,X1))
        | ? [A_1,B_2] : ~ hBOOL(hAPP_P2010574925r_bool(Pa,hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,A_1),B_2))) )
      & ( ! [A_1,B_2] : hBOOL(hAPP_P2010574925r_bool(Pa,hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,A_1),B_2)))
        | ? [X1] : ~ hBOOL(hAPP_P2010574925r_bool(Pa,X1)) ) ),
    inference(fof_nnf,[status(thm)],[fact_156_split__paired__All]) ).

fof(f_298_2,plain,
    ! [U_1396] :
      ( ( ! [U_1395] : hBOOL(hAPP_P2010574925r_bool(U_1396,U_1395))
        | ? [U_1394,U_1393] : ~ hBOOL(hAPP_P2010574925r_bool(U_1396,hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,U_1394),U_1393))) )
      & ( ! [U_1392,U_1391] : hBOOL(hAPP_P2010574925r_bool(U_1396,hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,U_1392),U_1391)))
        | ? [U_1390] : ~ hBOOL(hAPP_P2010574925r_bool(U_1396,U_1390)) ) ),
    inference(variable_rename,[status(thm)],[f_298_1]) ).

fof(f_298_3,plain,
    ( ! [U_1398] :
        ( ! [U_1395] : hBOOL(hAPP_P2010574925r_bool(U_1398,U_1395))
        | ? [U_1394,U_1393] : ~ hBOOL(hAPP_P2010574925r_bool(U_1398,hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,U_1394),U_1393))) )
    & ! [U_1397] :
        ( ! [U_1392,U_1391] : hBOOL(hAPP_P2010574925r_bool(U_1397,hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,U_1392),U_1391)))
        | ? [U_1390] : ~ hBOOL(hAPP_P2010574925r_bool(U_1397,U_1390)) ) ),
    inference(miniscope,[status(thm)],[f_298_2]) ).

fof(f_298_4,plain,
    ( ! [U_1398] :
        ( ! [U_1395] : hBOOL(hAPP_P2010574925r_bool(U_1398,U_1395))
        | ? [U_1394,U_1393] : ~ hBOOL(hAPP_P2010574925r_bool(U_1398,hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,U_1394),U_1393))) )
    & ! [U_1397] :
        ( ! [U_1392,U_1391] : hBOOL(hAPP_P2010574925r_bool(U_1397,hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,U_1392),U_1391)))
        | ~ hBOOL(hAPP_P2010574925r_bool(U_1397,sK187(U_1397))) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK187]),skolemize(U_1390,sK187(U_1397))],[f_298_3]) ).

fof(f_298_5,plain,
    ( ! [U_1398] :
        ( ! [U_1395] : hBOOL(hAPP_P2010574925r_bool(U_1398,U_1395))
        | ? [U_1393] : ~ hBOOL(hAPP_P2010574925r_bool(U_1398,hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,sK188(U_1398)),U_1393))) )
    & ! [U_1397] :
        ( ! [U_1392,U_1391] : hBOOL(hAPP_P2010574925r_bool(U_1397,hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,U_1392),U_1391)))
        | ~ hBOOL(hAPP_P2010574925r_bool(U_1397,sK187(U_1397))) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK188]),skolemize(U_1394,sK188(U_1398))],[f_298_4]) ).

fof(f_298_6,plain,
    ( ! [U_1398] :
        ( ! [U_1395] : hBOOL(hAPP_P2010574925r_bool(U_1398,U_1395))
        | ~ hBOOL(hAPP_P2010574925r_bool(U_1398,hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,sK188(U_1398)),sK189(U_1398)))) )
    & ! [U_1397] :
        ( ! [U_1392,U_1391] : hBOOL(hAPP_P2010574925r_bool(U_1397,hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,U_1392),U_1391)))
        | ~ hBOOL(hAPP_P2010574925r_bool(U_1397,sK187(U_1397))) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK189]),skolemize(U_1393,sK189(U_1398))],[f_298_5]) ).

cnf(f_298_7,plain,
    ( hBOOL(hAPP_P2010574925r_bool(U_1397,hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,U_1392),U_1391)))
    | ~ hBOOL(hAPP_P2010574925r_bool(U_1397,sK187(U_1397))) ),
    inference(clausify,[status(thm)],[f_298_6]) ).

cnf(f_298_8,plain,
    ( hBOOL(hAPP_P2010574925r_bool(U_1398,U_1395))
    | ~ hBOOL(hAPP_P2010574925r_bool(U_1398,hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,sK188(U_1398)),sK189(U_1398)))) ),
    inference(clausify,[status(thm)],[f_298_6]) ).

fof(f_299_1,plain,
    ! [Pa] :
      ( ( ! [X1] : hBOOL(hAPP_P124632071l_bool(Pa,X1))
        | ? [A_1,B_2] : ~ hBOOL(hAPP_P124632071l_bool(Pa,hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,A_1),B_2))) )
      & ( ! [A_1,B_2] : hBOOL(hAPP_P124632071l_bool(Pa,hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,A_1),B_2)))
        | ? [X1] : ~ hBOOL(hAPP_P124632071l_bool(Pa,X1)) ) ),
    inference(fof_nnf,[status(thm)],[fact_157_split__paired__All]) ).

fof(f_299_2,plain,
    ! [U_1405] :
      ( ( ! [U_1404] : hBOOL(hAPP_P124632071l_bool(U_1405,U_1404))
        | ? [U_1403,U_1402] : ~ hBOOL(hAPP_P124632071l_bool(U_1405,hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,U_1403),U_1402))) )
      & ( ! [U_1401,U_1400] : hBOOL(hAPP_P124632071l_bool(U_1405,hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,U_1401),U_1400)))
        | ? [U_1399] : ~ hBOOL(hAPP_P124632071l_bool(U_1405,U_1399)) ) ),
    inference(variable_rename,[status(thm)],[f_299_1]) ).

fof(f_299_3,plain,
    ( ! [U_1407] :
        ( ! [U_1404] : hBOOL(hAPP_P124632071l_bool(U_1407,U_1404))
        | ? [U_1403,U_1402] : ~ hBOOL(hAPP_P124632071l_bool(U_1407,hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,U_1403),U_1402))) )
    & ! [U_1406] :
        ( ! [U_1401,U_1400] : hBOOL(hAPP_P124632071l_bool(U_1406,hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,U_1401),U_1400)))
        | ? [U_1399] : ~ hBOOL(hAPP_P124632071l_bool(U_1406,U_1399)) ) ),
    inference(miniscope,[status(thm)],[f_299_2]) ).

fof(f_299_4,plain,
    ( ! [U_1407] :
        ( ! [U_1404] : hBOOL(hAPP_P124632071l_bool(U_1407,U_1404))
        | ? [U_1403,U_1402] : ~ hBOOL(hAPP_P124632071l_bool(U_1407,hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,U_1403),U_1402))) )
    & ! [U_1406] :
        ( ! [U_1401,U_1400] : hBOOL(hAPP_P124632071l_bool(U_1406,hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,U_1401),U_1400)))
        | ~ hBOOL(hAPP_P124632071l_bool(U_1406,sK190(U_1406))) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK190]),skolemize(U_1399,sK190(U_1406))],[f_299_3]) ).

fof(f_299_5,plain,
    ( ! [U_1407] :
        ( ! [U_1404] : hBOOL(hAPP_P124632071l_bool(U_1407,U_1404))
        | ? [U_1402] : ~ hBOOL(hAPP_P124632071l_bool(U_1407,hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,sK191(U_1407)),U_1402))) )
    & ! [U_1406] :
        ( ! [U_1401,U_1400] : hBOOL(hAPP_P124632071l_bool(U_1406,hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,U_1401),U_1400)))
        | ~ hBOOL(hAPP_P124632071l_bool(U_1406,sK190(U_1406))) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK191]),skolemize(U_1403,sK191(U_1407))],[f_299_4]) ).

fof(f_299_6,plain,
    ( ! [U_1407] :
        ( ! [U_1404] : hBOOL(hAPP_P124632071l_bool(U_1407,U_1404))
        | ~ hBOOL(hAPP_P124632071l_bool(U_1407,hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,sK191(U_1407)),sK192(U_1407)))) )
    & ! [U_1406] :
        ( ! [U_1401,U_1400] : hBOOL(hAPP_P124632071l_bool(U_1406,hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,U_1401),U_1400)))
        | ~ hBOOL(hAPP_P124632071l_bool(U_1406,sK190(U_1406))) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK192]),skolemize(U_1402,sK192(U_1407))],[f_299_5]) ).

cnf(f_299_7,plain,
    ( hBOOL(hAPP_P124632071l_bool(U_1406,hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,U_1401),U_1400)))
    | ~ hBOOL(hAPP_P124632071l_bool(U_1406,sK190(U_1406))) ),
    inference(clausify,[status(thm)],[f_299_6]) ).

cnf(f_299_8,plain,
    ( hBOOL(hAPP_P124632071l_bool(U_1407,U_1404))
    | ~ hBOOL(hAPP_P124632071l_bool(U_1407,hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,sK191(U_1407)),sK192(U_1407)))) ),
    inference(clausify,[status(thm)],[f_299_6]) ).

fof(f_300_1,plain,
    ! [Pa] :
      ( ( ! [X1] : hBOOL(hAPP_P1221872711l_bool(Pa,X1))
        | ? [A_1,B_2] : ~ hBOOL(hAPP_P1221872711l_bool(Pa,hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,A_1),B_2))) )
      & ( ! [A_1,B_2] : hBOOL(hAPP_P1221872711l_bool(Pa,hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,A_1),B_2)))
        | ? [X1] : ~ hBOOL(hAPP_P1221872711l_bool(Pa,X1)) ) ),
    inference(fof_nnf,[status(thm)],[fact_158_split__paired__All]) ).

fof(f_300_2,plain,
    ! [U_1414] :
      ( ( ! [U_1413] : hBOOL(hAPP_P1221872711l_bool(U_1414,U_1413))
        | ? [U_1412,U_1411] : ~ hBOOL(hAPP_P1221872711l_bool(U_1414,hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,U_1412),U_1411))) )
      & ( ! [U_1410,U_1409] : hBOOL(hAPP_P1221872711l_bool(U_1414,hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,U_1410),U_1409)))
        | ? [U_1408] : ~ hBOOL(hAPP_P1221872711l_bool(U_1414,U_1408)) ) ),
    inference(variable_rename,[status(thm)],[f_300_1]) ).

fof(f_300_3,plain,
    ( ! [U_1416] :
        ( ! [U_1413] : hBOOL(hAPP_P1221872711l_bool(U_1416,U_1413))
        | ? [U_1412,U_1411] : ~ hBOOL(hAPP_P1221872711l_bool(U_1416,hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,U_1412),U_1411))) )
    & ! [U_1415] :
        ( ! [U_1410,U_1409] : hBOOL(hAPP_P1221872711l_bool(U_1415,hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,U_1410),U_1409)))
        | ? [U_1408] : ~ hBOOL(hAPP_P1221872711l_bool(U_1415,U_1408)) ) ),
    inference(miniscope,[status(thm)],[f_300_2]) ).

fof(f_300_4,plain,
    ( ! [U_1416] :
        ( ! [U_1413] : hBOOL(hAPP_P1221872711l_bool(U_1416,U_1413))
        | ? [U_1412,U_1411] : ~ hBOOL(hAPP_P1221872711l_bool(U_1416,hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,U_1412),U_1411))) )
    & ! [U_1415] :
        ( ! [U_1410,U_1409] : hBOOL(hAPP_P1221872711l_bool(U_1415,hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,U_1410),U_1409)))
        | ~ hBOOL(hAPP_P1221872711l_bool(U_1415,sK193(U_1415))) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK193]),skolemize(U_1408,sK193(U_1415))],[f_300_3]) ).

fof(f_300_5,plain,
    ( ! [U_1416] :
        ( ! [U_1413] : hBOOL(hAPP_P1221872711l_bool(U_1416,U_1413))
        | ? [U_1411] : ~ hBOOL(hAPP_P1221872711l_bool(U_1416,hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,sK194(U_1416)),U_1411))) )
    & ! [U_1415] :
        ( ! [U_1410,U_1409] : hBOOL(hAPP_P1221872711l_bool(U_1415,hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,U_1410),U_1409)))
        | ~ hBOOL(hAPP_P1221872711l_bool(U_1415,sK193(U_1415))) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK194]),skolemize(U_1412,sK194(U_1416))],[f_300_4]) ).

fof(f_300_6,plain,
    ( ! [U_1416] :
        ( ! [U_1413] : hBOOL(hAPP_P1221872711l_bool(U_1416,U_1413))
        | ~ hBOOL(hAPP_P1221872711l_bool(U_1416,hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,sK194(U_1416)),sK195(U_1416)))) )
    & ! [U_1415] :
        ( ! [U_1410,U_1409] : hBOOL(hAPP_P1221872711l_bool(U_1415,hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,U_1410),U_1409)))
        | ~ hBOOL(hAPP_P1221872711l_bool(U_1415,sK193(U_1415))) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK195]),skolemize(U_1411,sK195(U_1416))],[f_300_5]) ).

cnf(f_300_7,plain,
    ( hBOOL(hAPP_P1221872711l_bool(U_1415,hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,U_1410),U_1409)))
    | ~ hBOOL(hAPP_P1221872711l_bool(U_1415,sK193(U_1415))) ),
    inference(clausify,[status(thm)],[f_300_6]) ).

cnf(f_300_8,plain,
    ( hBOOL(hAPP_P1221872711l_bool(U_1416,U_1413))
    | ~ hBOOL(hAPP_P1221872711l_bool(U_1416,hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,sK194(U_1416)),sK195(U_1416)))) ),
    inference(clausify,[status(thm)],[f_300_6]) ).

fof(f_301_1,plain,
    ! [Pa] :
      ( ( ! [X1] : hBOOL(hAPP_P378063101l_bool(Pa,X1))
        | ? [A_1,B_2] : ~ hBOOL(hAPP_P378063101l_bool(Pa,hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,A_1),B_2))) )
      & ( ! [A_1,B_2] : hBOOL(hAPP_P378063101l_bool(Pa,hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,A_1),B_2)))
        | ? [X1] : ~ hBOOL(hAPP_P378063101l_bool(Pa,X1)) ) ),
    inference(fof_nnf,[status(thm)],[fact_159_split__paired__All]) ).

fof(f_301_2,plain,
    ! [U_1423] :
      ( ( ! [U_1422] : hBOOL(hAPP_P378063101l_bool(U_1423,U_1422))
        | ? [U_1421,U_1420] : ~ hBOOL(hAPP_P378063101l_bool(U_1423,hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,U_1421),U_1420))) )
      & ( ! [U_1419,U_1418] : hBOOL(hAPP_P378063101l_bool(U_1423,hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,U_1419),U_1418)))
        | ? [U_1417] : ~ hBOOL(hAPP_P378063101l_bool(U_1423,U_1417)) ) ),
    inference(variable_rename,[status(thm)],[f_301_1]) ).

fof(f_301_3,plain,
    ( ! [U_1425] :
        ( ! [U_1422] : hBOOL(hAPP_P378063101l_bool(U_1425,U_1422))
        | ? [U_1421,U_1420] : ~ hBOOL(hAPP_P378063101l_bool(U_1425,hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,U_1421),U_1420))) )
    & ! [U_1424] :
        ( ! [U_1419,U_1418] : hBOOL(hAPP_P378063101l_bool(U_1424,hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,U_1419),U_1418)))
        | ? [U_1417] : ~ hBOOL(hAPP_P378063101l_bool(U_1424,U_1417)) ) ),
    inference(miniscope,[status(thm)],[f_301_2]) ).

fof(f_301_4,plain,
    ( ! [U_1425] :
        ( ! [U_1422] : hBOOL(hAPP_P378063101l_bool(U_1425,U_1422))
        | ? [U_1421,U_1420] : ~ hBOOL(hAPP_P378063101l_bool(U_1425,hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,U_1421),U_1420))) )
    & ! [U_1424] :
        ( ! [U_1419,U_1418] : hBOOL(hAPP_P378063101l_bool(U_1424,hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,U_1419),U_1418)))
        | ~ hBOOL(hAPP_P378063101l_bool(U_1424,sK196(U_1424))) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK196]),skolemize(U_1417,sK196(U_1424))],[f_301_3]) ).

fof(f_301_5,plain,
    ( ! [U_1425] :
        ( ! [U_1422] : hBOOL(hAPP_P378063101l_bool(U_1425,U_1422))
        | ? [U_1420] : ~ hBOOL(hAPP_P378063101l_bool(U_1425,hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,sK197(U_1425)),U_1420))) )
    & ! [U_1424] :
        ( ! [U_1419,U_1418] : hBOOL(hAPP_P378063101l_bool(U_1424,hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,U_1419),U_1418)))
        | ~ hBOOL(hAPP_P378063101l_bool(U_1424,sK196(U_1424))) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK197]),skolemize(U_1421,sK197(U_1425))],[f_301_4]) ).

fof(f_301_6,plain,
    ( ! [U_1425] :
        ( ! [U_1422] : hBOOL(hAPP_P378063101l_bool(U_1425,U_1422))
        | ~ hBOOL(hAPP_P378063101l_bool(U_1425,hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,sK197(U_1425)),sK198(U_1425)))) )
    & ! [U_1424] :
        ( ! [U_1419,U_1418] : hBOOL(hAPP_P378063101l_bool(U_1424,hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,U_1419),U_1418)))
        | ~ hBOOL(hAPP_P378063101l_bool(U_1424,sK196(U_1424))) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK198]),skolemize(U_1420,sK198(U_1425))],[f_301_5]) ).

cnf(f_301_7,plain,
    ( hBOOL(hAPP_P378063101l_bool(U_1424,hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,U_1419),U_1418)))
    | ~ hBOOL(hAPP_P378063101l_bool(U_1424,sK196(U_1424))) ),
    inference(clausify,[status(thm)],[f_301_6]) ).

cnf(f_301_8,plain,
    ( hBOOL(hAPP_P378063101l_bool(U_1425,U_1422))
    | ~ hBOOL(hAPP_P378063101l_bool(U_1425,hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,sK197(U_1425)),sK198(U_1425)))) ),
    inference(clausify,[status(thm)],[f_301_6]) ).

fof(f_302_1,plain,
    ! [Pa] :
      ( ( ! [X1] : hBOOL(hAPP_P499022727r_bool(Pa,X1))
        | ? [A_1,B_2] : ~ hBOOL(hAPP_P499022727r_bool(Pa,hAPP_l1648260346t_char(hAPP_l1105836155t_char(produc1237966615t_char,A_1),B_2))) )
      & ( ! [A_1,B_2] : hBOOL(hAPP_P499022727r_bool(Pa,hAPP_l1648260346t_char(hAPP_l1105836155t_char(produc1237966615t_char,A_1),B_2)))
        | ? [X1] : ~ hBOOL(hAPP_P499022727r_bool(Pa,X1)) ) ),
    inference(fof_nnf,[status(thm)],[fact_160_split__paired__All]) ).

fof(f_302_2,plain,
    ! [U_1432] :
      ( ( ! [U_1431] : hBOOL(hAPP_P499022727r_bool(U_1432,U_1431))
        | ? [U_1430,U_1429] : ~ hBOOL(hAPP_P499022727r_bool(U_1432,hAPP_l1648260346t_char(hAPP_l1105836155t_char(produc1237966615t_char,U_1430),U_1429))) )
      & ( ! [U_1428,U_1427] : hBOOL(hAPP_P499022727r_bool(U_1432,hAPP_l1648260346t_char(hAPP_l1105836155t_char(produc1237966615t_char,U_1428),U_1427)))
        | ? [U_1426] : ~ hBOOL(hAPP_P499022727r_bool(U_1432,U_1426)) ) ),
    inference(variable_rename,[status(thm)],[f_302_1]) ).

fof(f_302_3,plain,
    ( ! [U_1434] :
        ( ! [U_1431] : hBOOL(hAPP_P499022727r_bool(U_1434,U_1431))
        | ? [U_1430,U_1429] : ~ hBOOL(hAPP_P499022727r_bool(U_1434,hAPP_l1648260346t_char(hAPP_l1105836155t_char(produc1237966615t_char,U_1430),U_1429))) )
    & ! [U_1433] :
        ( ! [U_1428,U_1427] : hBOOL(hAPP_P499022727r_bool(U_1433,hAPP_l1648260346t_char(hAPP_l1105836155t_char(produc1237966615t_char,U_1428),U_1427)))
        | ? [U_1426] : ~ hBOOL(hAPP_P499022727r_bool(U_1433,U_1426)) ) ),
    inference(miniscope,[status(thm)],[f_302_2]) ).

fof(f_302_4,plain,
    ( ! [U_1434] :
        ( ! [U_1431] : hBOOL(hAPP_P499022727r_bool(U_1434,U_1431))
        | ? [U_1430,U_1429] : ~ hBOOL(hAPP_P499022727r_bool(U_1434,hAPP_l1648260346t_char(hAPP_l1105836155t_char(produc1237966615t_char,U_1430),U_1429))) )
    & ! [U_1433] :
        ( ! [U_1428,U_1427] : hBOOL(hAPP_P499022727r_bool(U_1433,hAPP_l1648260346t_char(hAPP_l1105836155t_char(produc1237966615t_char,U_1428),U_1427)))
        | ~ hBOOL(hAPP_P499022727r_bool(U_1433,sK199(U_1433))) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK199]),skolemize(U_1426,sK199(U_1433))],[f_302_3]) ).

fof(f_302_5,plain,
    ( ! [U_1434] :
        ( ! [U_1431] : hBOOL(hAPP_P499022727r_bool(U_1434,U_1431))
        | ? [U_1429] : ~ hBOOL(hAPP_P499022727r_bool(U_1434,hAPP_l1648260346t_char(hAPP_l1105836155t_char(produc1237966615t_char,sK200(U_1434)),U_1429))) )
    & ! [U_1433] :
        ( ! [U_1428,U_1427] : hBOOL(hAPP_P499022727r_bool(U_1433,hAPP_l1648260346t_char(hAPP_l1105836155t_char(produc1237966615t_char,U_1428),U_1427)))
        | ~ hBOOL(hAPP_P499022727r_bool(U_1433,sK199(U_1433))) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK200]),skolemize(U_1430,sK200(U_1434))],[f_302_4]) ).

fof(f_302_6,plain,
    ( ! [U_1434] :
        ( ! [U_1431] : hBOOL(hAPP_P499022727r_bool(U_1434,U_1431))
        | ~ hBOOL(hAPP_P499022727r_bool(U_1434,hAPP_l1648260346t_char(hAPP_l1105836155t_char(produc1237966615t_char,sK200(U_1434)),sK201(U_1434)))) )
    & ! [U_1433] :
        ( ! [U_1428,U_1427] : hBOOL(hAPP_P499022727r_bool(U_1433,hAPP_l1648260346t_char(hAPP_l1105836155t_char(produc1237966615t_char,U_1428),U_1427)))
        | ~ hBOOL(hAPP_P499022727r_bool(U_1433,sK199(U_1433))) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK201]),skolemize(U_1429,sK201(U_1434))],[f_302_5]) ).

cnf(f_302_7,plain,
    ( hBOOL(hAPP_P499022727r_bool(U_1433,hAPP_l1648260346t_char(hAPP_l1105836155t_char(produc1237966615t_char,U_1428),U_1427)))
    | ~ hBOOL(hAPP_P499022727r_bool(U_1433,sK199(U_1433))) ),
    inference(clausify,[status(thm)],[f_302_6]) ).

cnf(f_302_8,plain,
    ( hBOOL(hAPP_P499022727r_bool(U_1434,U_1431))
    | ~ hBOOL(hAPP_P499022727r_bool(U_1434,hAPP_l1648260346t_char(hAPP_l1105836155t_char(produc1237966615t_char,sK200(U_1434)),sK201(U_1434)))) ),
    inference(clausify,[status(thm)],[f_302_6]) ).

fof(f_303_1,plain,
    ! [Pa] :
      ( ( ! [X1] : hBOOL(hAPP_P1632759357r_bool(Pa,X1))
        | ? [A_1,B_2] : ~ hBOOL(hAPP_P1632759357r_bool(Pa,hAPP_e817857447t_char(hAPP_e1376201919t_char(produc943465171t_char,A_1),B_2))) )
      & ( ! [A_1,B_2] : hBOOL(hAPP_P1632759357r_bool(Pa,hAPP_e817857447t_char(hAPP_e1376201919t_char(produc943465171t_char,A_1),B_2)))
        | ? [X1] : ~ hBOOL(hAPP_P1632759357r_bool(Pa,X1)) ) ),
    inference(fof_nnf,[status(thm)],[fact_161_split__paired__All]) ).

fof(f_303_2,plain,
    ! [U_1441] :
      ( ( ! [U_1440] : hBOOL(hAPP_P1632759357r_bool(U_1441,U_1440))
        | ? [U_1439,U_1438] : ~ hBOOL(hAPP_P1632759357r_bool(U_1441,hAPP_e817857447t_char(hAPP_e1376201919t_char(produc943465171t_char,U_1439),U_1438))) )
      & ( ! [U_1437,U_1436] : hBOOL(hAPP_P1632759357r_bool(U_1441,hAPP_e817857447t_char(hAPP_e1376201919t_char(produc943465171t_char,U_1437),U_1436)))
        | ? [U_1435] : ~ hBOOL(hAPP_P1632759357r_bool(U_1441,U_1435)) ) ),
    inference(variable_rename,[status(thm)],[f_303_1]) ).

fof(f_303_3,plain,
    ( ! [U_1443] :
        ( ! [U_1440] : hBOOL(hAPP_P1632759357r_bool(U_1443,U_1440))
        | ? [U_1439,U_1438] : ~ hBOOL(hAPP_P1632759357r_bool(U_1443,hAPP_e817857447t_char(hAPP_e1376201919t_char(produc943465171t_char,U_1439),U_1438))) )
    & ! [U_1442] :
        ( ! [U_1437,U_1436] : hBOOL(hAPP_P1632759357r_bool(U_1442,hAPP_e817857447t_char(hAPP_e1376201919t_char(produc943465171t_char,U_1437),U_1436)))
        | ? [U_1435] : ~ hBOOL(hAPP_P1632759357r_bool(U_1442,U_1435)) ) ),
    inference(miniscope,[status(thm)],[f_303_2]) ).

fof(f_303_4,plain,
    ( ! [U_1443] :
        ( ! [U_1440] : hBOOL(hAPP_P1632759357r_bool(U_1443,U_1440))
        | ? [U_1439,U_1438] : ~ hBOOL(hAPP_P1632759357r_bool(U_1443,hAPP_e817857447t_char(hAPP_e1376201919t_char(produc943465171t_char,U_1439),U_1438))) )
    & ! [U_1442] :
        ( ! [U_1437,U_1436] : hBOOL(hAPP_P1632759357r_bool(U_1442,hAPP_e817857447t_char(hAPP_e1376201919t_char(produc943465171t_char,U_1437),U_1436)))
        | ~ hBOOL(hAPP_P1632759357r_bool(U_1442,sK202(U_1442))) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK202]),skolemize(U_1435,sK202(U_1442))],[f_303_3]) ).

fof(f_303_5,plain,
    ( ! [U_1443] :
        ( ! [U_1440] : hBOOL(hAPP_P1632759357r_bool(U_1443,U_1440))
        | ? [U_1438] : ~ hBOOL(hAPP_P1632759357r_bool(U_1443,hAPP_e817857447t_char(hAPP_e1376201919t_char(produc943465171t_char,sK203(U_1443)),U_1438))) )
    & ! [U_1442] :
        ( ! [U_1437,U_1436] : hBOOL(hAPP_P1632759357r_bool(U_1442,hAPP_e817857447t_char(hAPP_e1376201919t_char(produc943465171t_char,U_1437),U_1436)))
        | ~ hBOOL(hAPP_P1632759357r_bool(U_1442,sK202(U_1442))) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK203]),skolemize(U_1439,sK203(U_1443))],[f_303_4]) ).

fof(f_303_6,plain,
    ( ! [U_1443] :
        ( ! [U_1440] : hBOOL(hAPP_P1632759357r_bool(U_1443,U_1440))
        | ~ hBOOL(hAPP_P1632759357r_bool(U_1443,hAPP_e817857447t_char(hAPP_e1376201919t_char(produc943465171t_char,sK203(U_1443)),sK204(U_1443)))) )
    & ! [U_1442] :
        ( ! [U_1437,U_1436] : hBOOL(hAPP_P1632759357r_bool(U_1442,hAPP_e817857447t_char(hAPP_e1376201919t_char(produc943465171t_char,U_1437),U_1436)))
        | ~ hBOOL(hAPP_P1632759357r_bool(U_1442,sK202(U_1442))) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK204]),skolemize(U_1438,sK204(U_1443))],[f_303_5]) ).

cnf(f_303_7,plain,
    ( hBOOL(hAPP_P1632759357r_bool(U_1442,hAPP_e817857447t_char(hAPP_e1376201919t_char(produc943465171t_char,U_1437),U_1436)))
    | ~ hBOOL(hAPP_P1632759357r_bool(U_1442,sK202(U_1442))) ),
    inference(clausify,[status(thm)],[f_303_6]) ).

cnf(f_303_8,plain,
    ( hBOOL(hAPP_P1632759357r_bool(U_1443,U_1440))
    | ~ hBOOL(hAPP_P1632759357r_bool(U_1443,hAPP_e817857447t_char(hAPP_e1376201919t_char(produc943465171t_char,sK203(U_1443)),sK204(U_1443)))) ),
    inference(clausify,[status(thm)],[f_303_6]) ).

fof(f_304_1,plain,
    ! [Pa] :
      ( ( ! [X1] : hBOOL(hAPP_P476431815r_bool(Pa,X1))
        | ? [A_1,B_2] : ~ hBOOL(hAPP_P476431815r_bool(Pa,hAPP_l1883348915t_char(hAPP_l2019537453t_char(produc2035944023t_char,A_1),B_2))) )
      & ( ! [A_1,B_2] : hBOOL(hAPP_P476431815r_bool(Pa,hAPP_l1883348915t_char(hAPP_l2019537453t_char(produc2035944023t_char,A_1),B_2)))
        | ? [X1] : ~ hBOOL(hAPP_P476431815r_bool(Pa,X1)) ) ),
    inference(fof_nnf,[status(thm)],[fact_162_split__paired__All]) ).

fof(f_304_2,plain,
    ! [U_1450] :
      ( ( ! [U_1449] : hBOOL(hAPP_P476431815r_bool(U_1450,U_1449))
        | ? [U_1448,U_1447] : ~ hBOOL(hAPP_P476431815r_bool(U_1450,hAPP_l1883348915t_char(hAPP_l2019537453t_char(produc2035944023t_char,U_1448),U_1447))) )
      & ( ! [U_1446,U_1445] : hBOOL(hAPP_P476431815r_bool(U_1450,hAPP_l1883348915t_char(hAPP_l2019537453t_char(produc2035944023t_char,U_1446),U_1445)))
        | ? [U_1444] : ~ hBOOL(hAPP_P476431815r_bool(U_1450,U_1444)) ) ),
    inference(variable_rename,[status(thm)],[f_304_1]) ).

fof(f_304_3,plain,
    ( ! [U_1452] :
        ( ! [U_1449] : hBOOL(hAPP_P476431815r_bool(U_1452,U_1449))
        | ? [U_1448,U_1447] : ~ hBOOL(hAPP_P476431815r_bool(U_1452,hAPP_l1883348915t_char(hAPP_l2019537453t_char(produc2035944023t_char,U_1448),U_1447))) )
    & ! [U_1451] :
        ( ! [U_1446,U_1445] : hBOOL(hAPP_P476431815r_bool(U_1451,hAPP_l1883348915t_char(hAPP_l2019537453t_char(produc2035944023t_char,U_1446),U_1445)))
        | ? [U_1444] : ~ hBOOL(hAPP_P476431815r_bool(U_1451,U_1444)) ) ),
    inference(miniscope,[status(thm)],[f_304_2]) ).

fof(f_304_4,plain,
    ( ! [U_1452] :
        ( ! [U_1449] : hBOOL(hAPP_P476431815r_bool(U_1452,U_1449))
        | ? [U_1448,U_1447] : ~ hBOOL(hAPP_P476431815r_bool(U_1452,hAPP_l1883348915t_char(hAPP_l2019537453t_char(produc2035944023t_char,U_1448),U_1447))) )
    & ! [U_1451] :
        ( ! [U_1446,U_1445] : hBOOL(hAPP_P476431815r_bool(U_1451,hAPP_l1883348915t_char(hAPP_l2019537453t_char(produc2035944023t_char,U_1446),U_1445)))
        | ~ hBOOL(hAPP_P476431815r_bool(U_1451,sK205(U_1451))) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK205]),skolemize(U_1444,sK205(U_1451))],[f_304_3]) ).

fof(f_304_5,plain,
    ( ! [U_1452] :
        ( ! [U_1449] : hBOOL(hAPP_P476431815r_bool(U_1452,U_1449))
        | ? [U_1447] : ~ hBOOL(hAPP_P476431815r_bool(U_1452,hAPP_l1883348915t_char(hAPP_l2019537453t_char(produc2035944023t_char,sK206(U_1452)),U_1447))) )
    & ! [U_1451] :
        ( ! [U_1446,U_1445] : hBOOL(hAPP_P476431815r_bool(U_1451,hAPP_l1883348915t_char(hAPP_l2019537453t_char(produc2035944023t_char,U_1446),U_1445)))
        | ~ hBOOL(hAPP_P476431815r_bool(U_1451,sK205(U_1451))) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK206]),skolemize(U_1448,sK206(U_1452))],[f_304_4]) ).

fof(f_304_6,plain,
    ( ! [U_1452] :
        ( ! [U_1449] : hBOOL(hAPP_P476431815r_bool(U_1452,U_1449))
        | ~ hBOOL(hAPP_P476431815r_bool(U_1452,hAPP_l1883348915t_char(hAPP_l2019537453t_char(produc2035944023t_char,sK206(U_1452)),sK207(U_1452)))) )
    & ! [U_1451] :
        ( ! [U_1446,U_1445] : hBOOL(hAPP_P476431815r_bool(U_1451,hAPP_l1883348915t_char(hAPP_l2019537453t_char(produc2035944023t_char,U_1446),U_1445)))
        | ~ hBOOL(hAPP_P476431815r_bool(U_1451,sK205(U_1451))) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK207]),skolemize(U_1447,sK207(U_1452))],[f_304_5]) ).

cnf(f_304_7,plain,
    ( hBOOL(hAPP_P476431815r_bool(U_1451,hAPP_l1883348915t_char(hAPP_l2019537453t_char(produc2035944023t_char,U_1446),U_1445)))
    | ~ hBOOL(hAPP_P476431815r_bool(U_1451,sK205(U_1451))) ),
    inference(clausify,[status(thm)],[f_304_6]) ).

cnf(f_304_8,plain,
    ( hBOOL(hAPP_P476431815r_bool(U_1452,U_1449))
    | ~ hBOOL(hAPP_P476431815r_bool(U_1452,hAPP_l1883348915t_char(hAPP_l2019537453t_char(produc2035944023t_char,sK206(U_1452)),sK207(U_1452)))) ),
    inference(clausify,[status(thm)],[f_304_6]) ).

fof(f_305_1,plain,
    ! [Pa] :
      ( ( ! [X1] : hBOOL(hAPP_P2053453961y_bool(Pa,X1))
        | ? [A_1,B_2] : ~ hBOOL(hAPP_P2053453961y_bool(Pa,hAPP_l1294856089har_ty(hAPP_l1657578379har_ty(produc1860789535har_ty,A_1),B_2))) )
      & ( ! [A_1,B_2] : hBOOL(hAPP_P2053453961y_bool(Pa,hAPP_l1294856089har_ty(hAPP_l1657578379har_ty(produc1860789535har_ty,A_1),B_2)))
        | ? [X1] : ~ hBOOL(hAPP_P2053453961y_bool(Pa,X1)) ) ),
    inference(fof_nnf,[status(thm)],[fact_163_split__paired__All]) ).

fof(f_305_2,plain,
    ! [U_1459] :
      ( ( ! [U_1458] : hBOOL(hAPP_P2053453961y_bool(U_1459,U_1458))
        | ? [U_1457,U_1456] : ~ hBOOL(hAPP_P2053453961y_bool(U_1459,hAPP_l1294856089har_ty(hAPP_l1657578379har_ty(produc1860789535har_ty,U_1457),U_1456))) )
      & ( ! [U_1455,U_1454] : hBOOL(hAPP_P2053453961y_bool(U_1459,hAPP_l1294856089har_ty(hAPP_l1657578379har_ty(produc1860789535har_ty,U_1455),U_1454)))
        | ? [U_1453] : ~ hBOOL(hAPP_P2053453961y_bool(U_1459,U_1453)) ) ),
    inference(variable_rename,[status(thm)],[f_305_1]) ).

fof(f_305_3,plain,
    ( ! [U_1461] :
        ( ! [U_1458] : hBOOL(hAPP_P2053453961y_bool(U_1461,U_1458))
        | ? [U_1457,U_1456] : ~ hBOOL(hAPP_P2053453961y_bool(U_1461,hAPP_l1294856089har_ty(hAPP_l1657578379har_ty(produc1860789535har_ty,U_1457),U_1456))) )
    & ! [U_1460] :
        ( ! [U_1455,U_1454] : hBOOL(hAPP_P2053453961y_bool(U_1460,hAPP_l1294856089har_ty(hAPP_l1657578379har_ty(produc1860789535har_ty,U_1455),U_1454)))
        | ? [U_1453] : ~ hBOOL(hAPP_P2053453961y_bool(U_1460,U_1453)) ) ),
    inference(miniscope,[status(thm)],[f_305_2]) ).

fof(f_305_4,plain,
    ( ! [U_1461] :
        ( ! [U_1458] : hBOOL(hAPP_P2053453961y_bool(U_1461,U_1458))
        | ? [U_1457,U_1456] : ~ hBOOL(hAPP_P2053453961y_bool(U_1461,hAPP_l1294856089har_ty(hAPP_l1657578379har_ty(produc1860789535har_ty,U_1457),U_1456))) )
    & ! [U_1460] :
        ( ! [U_1455,U_1454] : hBOOL(hAPP_P2053453961y_bool(U_1460,hAPP_l1294856089har_ty(hAPP_l1657578379har_ty(produc1860789535har_ty,U_1455),U_1454)))
        | ~ hBOOL(hAPP_P2053453961y_bool(U_1460,sK208(U_1460))) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK208]),skolemize(U_1453,sK208(U_1460))],[f_305_3]) ).

fof(f_305_5,plain,
    ( ! [U_1461] :
        ( ! [U_1458] : hBOOL(hAPP_P2053453961y_bool(U_1461,U_1458))
        | ? [U_1456] : ~ hBOOL(hAPP_P2053453961y_bool(U_1461,hAPP_l1294856089har_ty(hAPP_l1657578379har_ty(produc1860789535har_ty,sK209(U_1461)),U_1456))) )
    & ! [U_1460] :
        ( ! [U_1455,U_1454] : hBOOL(hAPP_P2053453961y_bool(U_1460,hAPP_l1294856089har_ty(hAPP_l1657578379har_ty(produc1860789535har_ty,U_1455),U_1454)))
        | ~ hBOOL(hAPP_P2053453961y_bool(U_1460,sK208(U_1460))) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK209]),skolemize(U_1457,sK209(U_1461))],[f_305_4]) ).

fof(f_305_6,plain,
    ( ! [U_1461] :
        ( ! [U_1458] : hBOOL(hAPP_P2053453961y_bool(U_1461,U_1458))
        | ~ hBOOL(hAPP_P2053453961y_bool(U_1461,hAPP_l1294856089har_ty(hAPP_l1657578379har_ty(produc1860789535har_ty,sK209(U_1461)),sK210(U_1461)))) )
    & ! [U_1460] :
        ( ! [U_1455,U_1454] : hBOOL(hAPP_P2053453961y_bool(U_1460,hAPP_l1294856089har_ty(hAPP_l1657578379har_ty(produc1860789535har_ty,U_1455),U_1454)))
        | ~ hBOOL(hAPP_P2053453961y_bool(U_1460,sK208(U_1460))) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK210]),skolemize(U_1456,sK210(U_1461))],[f_305_5]) ).

cnf(f_305_7,plain,
    ( hBOOL(hAPP_P2053453961y_bool(U_1460,hAPP_l1294856089har_ty(hAPP_l1657578379har_ty(produc1860789535har_ty,U_1455),U_1454)))
    | ~ hBOOL(hAPP_P2053453961y_bool(U_1460,sK208(U_1460))) ),
    inference(clausify,[status(thm)],[f_305_6]) ).

cnf(f_305_8,plain,
    ( hBOOL(hAPP_P2053453961y_bool(U_1461,U_1458))
    | ~ hBOOL(hAPP_P2053453961y_bool(U_1461,hAPP_l1294856089har_ty(hAPP_l1657578379har_ty(produc1860789535har_ty,sK209(U_1461)),sK210(U_1461)))) ),
    inference(clausify,[status(thm)],[f_305_6]) ).

fof(f_306_1,plain,
    ! [Pa] :
      ( ( ! [X1] : hBOOL(hAPP_P1926698759r_bool(Pa,X1))
        | ? [A_1,B_2] : ~ hBOOL(hAPP_P1926698759r_bool(Pa,hAPP_l1334098948t_char(hAPP_l1450984463t_char(produc436875159t_char,A_1),B_2))) )
      & ( ! [A_1,B_2] : hBOOL(hAPP_P1926698759r_bool(Pa,hAPP_l1334098948t_char(hAPP_l1450984463t_char(produc436875159t_char,A_1),B_2)))
        | ? [X1] : ~ hBOOL(hAPP_P1926698759r_bool(Pa,X1)) ) ),
    inference(fof_nnf,[status(thm)],[fact_164_split__paired__All]) ).

fof(f_306_2,plain,
    ! [U_1468] :
      ( ( ! [U_1467] : hBOOL(hAPP_P1926698759r_bool(U_1468,U_1467))
        | ? [U_1466,U_1465] : ~ hBOOL(hAPP_P1926698759r_bool(U_1468,hAPP_l1334098948t_char(hAPP_l1450984463t_char(produc436875159t_char,U_1466),U_1465))) )
      & ( ! [U_1464,U_1463] : hBOOL(hAPP_P1926698759r_bool(U_1468,hAPP_l1334098948t_char(hAPP_l1450984463t_char(produc436875159t_char,U_1464),U_1463)))
        | ? [U_1462] : ~ hBOOL(hAPP_P1926698759r_bool(U_1468,U_1462)) ) ),
    inference(variable_rename,[status(thm)],[f_306_1]) ).

fof(f_306_3,plain,
    ( ! [U_1470] :
        ( ! [U_1467] : hBOOL(hAPP_P1926698759r_bool(U_1470,U_1467))
        | ? [U_1466,U_1465] : ~ hBOOL(hAPP_P1926698759r_bool(U_1470,hAPP_l1334098948t_char(hAPP_l1450984463t_char(produc436875159t_char,U_1466),U_1465))) )
    & ! [U_1469] :
        ( ! [U_1464,U_1463] : hBOOL(hAPP_P1926698759r_bool(U_1469,hAPP_l1334098948t_char(hAPP_l1450984463t_char(produc436875159t_char,U_1464),U_1463)))
        | ? [U_1462] : ~ hBOOL(hAPP_P1926698759r_bool(U_1469,U_1462)) ) ),
    inference(miniscope,[status(thm)],[f_306_2]) ).

fof(f_306_4,plain,
    ( ! [U_1470] :
        ( ! [U_1467] : hBOOL(hAPP_P1926698759r_bool(U_1470,U_1467))
        | ? [U_1466,U_1465] : ~ hBOOL(hAPP_P1926698759r_bool(U_1470,hAPP_l1334098948t_char(hAPP_l1450984463t_char(produc436875159t_char,U_1466),U_1465))) )
    & ! [U_1469] :
        ( ! [U_1464,U_1463] : hBOOL(hAPP_P1926698759r_bool(U_1469,hAPP_l1334098948t_char(hAPP_l1450984463t_char(produc436875159t_char,U_1464),U_1463)))
        | ~ hBOOL(hAPP_P1926698759r_bool(U_1469,sK211(U_1469))) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK211]),skolemize(U_1462,sK211(U_1469))],[f_306_3]) ).

fof(f_306_5,plain,
    ( ! [U_1470] :
        ( ! [U_1467] : hBOOL(hAPP_P1926698759r_bool(U_1470,U_1467))
        | ? [U_1465] : ~ hBOOL(hAPP_P1926698759r_bool(U_1470,hAPP_l1334098948t_char(hAPP_l1450984463t_char(produc436875159t_char,sK212(U_1470)),U_1465))) )
    & ! [U_1469] :
        ( ! [U_1464,U_1463] : hBOOL(hAPP_P1926698759r_bool(U_1469,hAPP_l1334098948t_char(hAPP_l1450984463t_char(produc436875159t_char,U_1464),U_1463)))
        | ~ hBOOL(hAPP_P1926698759r_bool(U_1469,sK211(U_1469))) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK212]),skolemize(U_1466,sK212(U_1470))],[f_306_4]) ).

fof(f_306_6,plain,
    ( ! [U_1470] :
        ( ! [U_1467] : hBOOL(hAPP_P1926698759r_bool(U_1470,U_1467))
        | ~ hBOOL(hAPP_P1926698759r_bool(U_1470,hAPP_l1334098948t_char(hAPP_l1450984463t_char(produc436875159t_char,sK212(U_1470)),sK213(U_1470)))) )
    & ! [U_1469] :
        ( ! [U_1464,U_1463] : hBOOL(hAPP_P1926698759r_bool(U_1469,hAPP_l1334098948t_char(hAPP_l1450984463t_char(produc436875159t_char,U_1464),U_1463)))
        | ~ hBOOL(hAPP_P1926698759r_bool(U_1469,sK211(U_1469))) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK213]),skolemize(U_1465,sK213(U_1470))],[f_306_5]) ).

cnf(f_306_7,plain,
    ( hBOOL(hAPP_P1926698759r_bool(U_1469,hAPP_l1334098948t_char(hAPP_l1450984463t_char(produc436875159t_char,U_1464),U_1463)))
    | ~ hBOOL(hAPP_P1926698759r_bool(U_1469,sK211(U_1469))) ),
    inference(clausify,[status(thm)],[f_306_6]) ).

cnf(f_306_8,plain,
    ( hBOOL(hAPP_P1926698759r_bool(U_1470,U_1467))
    | ~ hBOOL(hAPP_P1926698759r_bool(U_1470,hAPP_l1334098948t_char(hAPP_l1450984463t_char(produc436875159t_char,sK212(U_1470)),sK213(U_1470)))) ),
    inference(clausify,[status(thm)],[f_306_6]) ).

fof(f_307_1,plain,
    ! [Pa] :
      ( ( ! [X1] : hBOOL(hAPP_P2115985549l_bool(Pa,X1))
        | ? [A_1,B_2] : ~ hBOOL(hAPP_P2115985549l_bool(Pa,hAPP_l1249476511st_val(hAPP_l103437071st_val(produc2078839843st_val,A_1),B_2))) )
      & ( ! [A_1,B_2] : hBOOL(hAPP_P2115985549l_bool(Pa,hAPP_l1249476511st_val(hAPP_l103437071st_val(produc2078839843st_val,A_1),B_2)))
        | ? [X1] : ~ hBOOL(hAPP_P2115985549l_bool(Pa,X1)) ) ),
    inference(fof_nnf,[status(thm)],[fact_165_split__paired__All]) ).

fof(f_307_2,plain,
    ! [U_1477] :
      ( ( ! [U_1476] : hBOOL(hAPP_P2115985549l_bool(U_1477,U_1476))
        | ? [U_1475,U_1474] : ~ hBOOL(hAPP_P2115985549l_bool(U_1477,hAPP_l1249476511st_val(hAPP_l103437071st_val(produc2078839843st_val,U_1475),U_1474))) )
      & ( ! [U_1473,U_1472] : hBOOL(hAPP_P2115985549l_bool(U_1477,hAPP_l1249476511st_val(hAPP_l103437071st_val(produc2078839843st_val,U_1473),U_1472)))
        | ? [U_1471] : ~ hBOOL(hAPP_P2115985549l_bool(U_1477,U_1471)) ) ),
    inference(variable_rename,[status(thm)],[f_307_1]) ).

fof(f_307_3,plain,
    ( ! [U_1479] :
        ( ! [U_1476] : hBOOL(hAPP_P2115985549l_bool(U_1479,U_1476))
        | ? [U_1475,U_1474] : ~ hBOOL(hAPP_P2115985549l_bool(U_1479,hAPP_l1249476511st_val(hAPP_l103437071st_val(produc2078839843st_val,U_1475),U_1474))) )
    & ! [U_1478] :
        ( ! [U_1473,U_1472] : hBOOL(hAPP_P2115985549l_bool(U_1478,hAPP_l1249476511st_val(hAPP_l103437071st_val(produc2078839843st_val,U_1473),U_1472)))
        | ? [U_1471] : ~ hBOOL(hAPP_P2115985549l_bool(U_1478,U_1471)) ) ),
    inference(miniscope,[status(thm)],[f_307_2]) ).

fof(f_307_4,plain,
    ( ! [U_1479] :
        ( ! [U_1476] : hBOOL(hAPP_P2115985549l_bool(U_1479,U_1476))
        | ? [U_1475,U_1474] : ~ hBOOL(hAPP_P2115985549l_bool(U_1479,hAPP_l1249476511st_val(hAPP_l103437071st_val(produc2078839843st_val,U_1475),U_1474))) )
    & ! [U_1478] :
        ( ! [U_1473,U_1472] : hBOOL(hAPP_P2115985549l_bool(U_1478,hAPP_l1249476511st_val(hAPP_l103437071st_val(produc2078839843st_val,U_1473),U_1472)))
        | ~ hBOOL(hAPP_P2115985549l_bool(U_1478,sK214(U_1478))) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK214]),skolemize(U_1471,sK214(U_1478))],[f_307_3]) ).

fof(f_307_5,plain,
    ( ! [U_1479] :
        ( ! [U_1476] : hBOOL(hAPP_P2115985549l_bool(U_1479,U_1476))
        | ? [U_1474] : ~ hBOOL(hAPP_P2115985549l_bool(U_1479,hAPP_l1249476511st_val(hAPP_l103437071st_val(produc2078839843st_val,sK215(U_1479)),U_1474))) )
    & ! [U_1478] :
        ( ! [U_1473,U_1472] : hBOOL(hAPP_P2115985549l_bool(U_1478,hAPP_l1249476511st_val(hAPP_l103437071st_val(produc2078839843st_val,U_1473),U_1472)))
        | ~ hBOOL(hAPP_P2115985549l_bool(U_1478,sK214(U_1478))) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK215]),skolemize(U_1475,sK215(U_1479))],[f_307_4]) ).

fof(f_307_6,plain,
    ( ! [U_1479] :
        ( ! [U_1476] : hBOOL(hAPP_P2115985549l_bool(U_1479,U_1476))
        | ~ hBOOL(hAPP_P2115985549l_bool(U_1479,hAPP_l1249476511st_val(hAPP_l103437071st_val(produc2078839843st_val,sK215(U_1479)),sK216(U_1479)))) )
    & ! [U_1478] :
        ( ! [U_1473,U_1472] : hBOOL(hAPP_P2115985549l_bool(U_1478,hAPP_l1249476511st_val(hAPP_l103437071st_val(produc2078839843st_val,U_1473),U_1472)))
        | ~ hBOOL(hAPP_P2115985549l_bool(U_1478,sK214(U_1478))) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK216]),skolemize(U_1474,sK216(U_1479))],[f_307_5]) ).

cnf(f_307_7,plain,
    ( hBOOL(hAPP_P2115985549l_bool(U_1478,hAPP_l1249476511st_val(hAPP_l103437071st_val(produc2078839843st_val,U_1473),U_1472)))
    | ~ hBOOL(hAPP_P2115985549l_bool(U_1478,sK214(U_1478))) ),
    inference(clausify,[status(thm)],[f_307_6]) ).

cnf(f_307_8,plain,
    ( hBOOL(hAPP_P2115985549l_bool(U_1479,U_1476))
    | ~ hBOOL(hAPP_P2115985549l_bool(U_1479,hAPP_l1249476511st_val(hAPP_l103437071st_val(produc2078839843st_val,sK215(U_1479)),sK216(U_1479)))) ),
    inference(clausify,[status(thm)],[f_307_6]) ).

fof(f_308_1,plain,
    ! [Pa] :
      ( ( ! [X1] : hBOOL(hAPP_P1574824955y_bool(Pa,X1))
        | ? [A_1,B_2] : ~ hBOOL(hAPP_P1574824955y_bool(Pa,hAPP_l1319068228ist_ty(hAPP_l1770520637ist_ty(produc512429457ist_ty,A_1),B_2))) )
      & ( ! [A_1,B_2] : hBOOL(hAPP_P1574824955y_bool(Pa,hAPP_l1319068228ist_ty(hAPP_l1770520637ist_ty(produc512429457ist_ty,A_1),B_2)))
        | ? [X1] : ~ hBOOL(hAPP_P1574824955y_bool(Pa,X1)) ) ),
    inference(fof_nnf,[status(thm)],[fact_166_split__paired__All]) ).

fof(f_308_2,plain,
    ! [U_1486] :
      ( ( ! [U_1485] : hBOOL(hAPP_P1574824955y_bool(U_1486,U_1485))
        | ? [U_1484,U_1483] : ~ hBOOL(hAPP_P1574824955y_bool(U_1486,hAPP_l1319068228ist_ty(hAPP_l1770520637ist_ty(produc512429457ist_ty,U_1484),U_1483))) )
      & ( ! [U_1482,U_1481] : hBOOL(hAPP_P1574824955y_bool(U_1486,hAPP_l1319068228ist_ty(hAPP_l1770520637ist_ty(produc512429457ist_ty,U_1482),U_1481)))
        | ? [U_1480] : ~ hBOOL(hAPP_P1574824955y_bool(U_1486,U_1480)) ) ),
    inference(variable_rename,[status(thm)],[f_308_1]) ).

fof(f_308_3,plain,
    ( ! [U_1488] :
        ( ! [U_1485] : hBOOL(hAPP_P1574824955y_bool(U_1488,U_1485))
        | ? [U_1484,U_1483] : ~ hBOOL(hAPP_P1574824955y_bool(U_1488,hAPP_l1319068228ist_ty(hAPP_l1770520637ist_ty(produc512429457ist_ty,U_1484),U_1483))) )
    & ! [U_1487] :
        ( ! [U_1482,U_1481] : hBOOL(hAPP_P1574824955y_bool(U_1487,hAPP_l1319068228ist_ty(hAPP_l1770520637ist_ty(produc512429457ist_ty,U_1482),U_1481)))
        | ? [U_1480] : ~ hBOOL(hAPP_P1574824955y_bool(U_1487,U_1480)) ) ),
    inference(miniscope,[status(thm)],[f_308_2]) ).

fof(f_308_4,plain,
    ( ! [U_1488] :
        ( ! [U_1485] : hBOOL(hAPP_P1574824955y_bool(U_1488,U_1485))
        | ? [U_1484,U_1483] : ~ hBOOL(hAPP_P1574824955y_bool(U_1488,hAPP_l1319068228ist_ty(hAPP_l1770520637ist_ty(produc512429457ist_ty,U_1484),U_1483))) )
    & ! [U_1487] :
        ( ! [U_1482,U_1481] : hBOOL(hAPP_P1574824955y_bool(U_1487,hAPP_l1319068228ist_ty(hAPP_l1770520637ist_ty(produc512429457ist_ty,U_1482),U_1481)))
        | ~ hBOOL(hAPP_P1574824955y_bool(U_1487,sK217(U_1487))) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK217]),skolemize(U_1480,sK217(U_1487))],[f_308_3]) ).

fof(f_308_5,plain,
    ( ! [U_1488] :
        ( ! [U_1485] : hBOOL(hAPP_P1574824955y_bool(U_1488,U_1485))
        | ? [U_1483] : ~ hBOOL(hAPP_P1574824955y_bool(U_1488,hAPP_l1319068228ist_ty(hAPP_l1770520637ist_ty(produc512429457ist_ty,sK218(U_1488)),U_1483))) )
    & ! [U_1487] :
        ( ! [U_1482,U_1481] : hBOOL(hAPP_P1574824955y_bool(U_1487,hAPP_l1319068228ist_ty(hAPP_l1770520637ist_ty(produc512429457ist_ty,U_1482),U_1481)))
        | ~ hBOOL(hAPP_P1574824955y_bool(U_1487,sK217(U_1487))) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK218]),skolemize(U_1484,sK218(U_1488))],[f_308_4]) ).

fof(f_308_6,plain,
    ( ! [U_1488] :
        ( ! [U_1485] : hBOOL(hAPP_P1574824955y_bool(U_1488,U_1485))
        | ~ hBOOL(hAPP_P1574824955y_bool(U_1488,hAPP_l1319068228ist_ty(hAPP_l1770520637ist_ty(produc512429457ist_ty,sK218(U_1488)),sK219(U_1488)))) )
    & ! [U_1487] :
        ( ! [U_1482,U_1481] : hBOOL(hAPP_P1574824955y_bool(U_1487,hAPP_l1319068228ist_ty(hAPP_l1770520637ist_ty(produc512429457ist_ty,U_1482),U_1481)))
        | ~ hBOOL(hAPP_P1574824955y_bool(U_1487,sK217(U_1487))) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK219]),skolemize(U_1483,sK219(U_1488))],[f_308_5]) ).

cnf(f_308_7,plain,
    ( hBOOL(hAPP_P1574824955y_bool(U_1487,hAPP_l1319068228ist_ty(hAPP_l1770520637ist_ty(produc512429457ist_ty,U_1482),U_1481)))
    | ~ hBOOL(hAPP_P1574824955y_bool(U_1487,sK217(U_1487))) ),
    inference(clausify,[status(thm)],[f_308_6]) ).

cnf(f_308_8,plain,
    ( hBOOL(hAPP_P1574824955y_bool(U_1488,U_1485))
    | ~ hBOOL(hAPP_P1574824955y_bool(U_1488,hAPP_l1319068228ist_ty(hAPP_l1770520637ist_ty(produc512429457ist_ty,sK218(U_1488)),sK219(U_1488)))) ),
    inference(clausify,[status(thm)],[f_308_6]) ).

fof(f_309_1,plain,
    ! [Pa] :
      ( ( ! [X1] : hBOOL(hAPP_P1085566419p_bool(Pa,X1))
        | ? [A_1,B_2] :
            ( ~ hBOOL(hAPP_P1085566419p_bool(Pa,hAPP_b1909667208op_bop(hAPP_b1058859669op_bop(product_Pair_bop_bop,A_1),B_2)))
            & is_bop(B_2)
            & is_bop(A_1) ) )
      & ( ! [A_1,B_2] :
            ( hBOOL(hAPP_P1085566419p_bool(Pa,hAPP_b1909667208op_bop(hAPP_b1058859669op_bop(product_Pair_bop_bop,A_1),B_2)))
            | ~ is_bop(B_2)
            | ~ is_bop(A_1) )
        | ? [X1] : ~ hBOOL(hAPP_P1085566419p_bool(Pa,X1)) ) ),
    inference(fof_nnf,[status(thm)],[fact_167_split__paired__All]) ).

fof(f_309_2,plain,
    ! [U_1495] :
      ( ( ! [U_1494] : hBOOL(hAPP_P1085566419p_bool(U_1495,U_1494))
        | ? [U_1493,U_1492] :
            ( ~ hBOOL(hAPP_P1085566419p_bool(U_1495,hAPP_b1909667208op_bop(hAPP_b1058859669op_bop(product_Pair_bop_bop,U_1493),U_1492)))
            & is_bop(U_1492)
            & is_bop(U_1493) ) )
      & ( ! [U_1491,U_1490] :
            ( hBOOL(hAPP_P1085566419p_bool(U_1495,hAPP_b1909667208op_bop(hAPP_b1058859669op_bop(product_Pair_bop_bop,U_1491),U_1490)))
            | ~ is_bop(U_1490)
            | ~ is_bop(U_1491) )
        | ? [U_1489] : ~ hBOOL(hAPP_P1085566419p_bool(U_1495,U_1489)) ) ),
    inference(variable_rename,[status(thm)],[f_309_1]) ).

fof(f_309_3,plain,
    ( ! [U_1497] :
        ( ! [U_1494] : hBOOL(hAPP_P1085566419p_bool(U_1497,U_1494))
        | ? [U_1493,U_1492] :
            ( ~ hBOOL(hAPP_P1085566419p_bool(U_1497,hAPP_b1909667208op_bop(hAPP_b1058859669op_bop(product_Pair_bop_bop,U_1493),U_1492)))
            & is_bop(U_1492)
            & is_bop(U_1493) ) )
    & ! [U_1496] :
        ( ! [U_1491,U_1490] :
            ( hBOOL(hAPP_P1085566419p_bool(U_1496,hAPP_b1909667208op_bop(hAPP_b1058859669op_bop(product_Pair_bop_bop,U_1491),U_1490)))
            | ~ is_bop(U_1490)
            | ~ is_bop(U_1491) )
        | ? [U_1489] : ~ hBOOL(hAPP_P1085566419p_bool(U_1496,U_1489)) ) ),
    inference(miniscope,[status(thm)],[f_309_2]) ).

fof(f_309_4,plain,
    ( ! [U_1497] :
        ( ! [U_1494] : hBOOL(hAPP_P1085566419p_bool(U_1497,U_1494))
        | ? [U_1493,U_1492] :
            ( ~ hBOOL(hAPP_P1085566419p_bool(U_1497,hAPP_b1909667208op_bop(hAPP_b1058859669op_bop(product_Pair_bop_bop,U_1493),U_1492)))
            & is_bop(U_1492)
            & is_bop(U_1493) ) )
    & ! [U_1496] :
        ( ! [U_1491,U_1490] :
            ( hBOOL(hAPP_P1085566419p_bool(U_1496,hAPP_b1909667208op_bop(hAPP_b1058859669op_bop(product_Pair_bop_bop,U_1491),U_1490)))
            | ~ is_bop(U_1490)
            | ~ is_bop(U_1491) )
        | ~ hBOOL(hAPP_P1085566419p_bool(U_1496,sK220(U_1496))) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK220]),skolemize(U_1489,sK220(U_1496))],[f_309_3]) ).

fof(f_309_5,plain,
    ( ! [U_1497] :
        ( ! [U_1494] : hBOOL(hAPP_P1085566419p_bool(U_1497,U_1494))
        | ? [U_1492] :
            ( ~ hBOOL(hAPP_P1085566419p_bool(U_1497,hAPP_b1909667208op_bop(hAPP_b1058859669op_bop(product_Pair_bop_bop,sK221(U_1497)),U_1492)))
            & is_bop(U_1492)
            & is_bop(sK221(U_1497)) ) )
    & ! [U_1496] :
        ( ! [U_1491,U_1490] :
            ( hBOOL(hAPP_P1085566419p_bool(U_1496,hAPP_b1909667208op_bop(hAPP_b1058859669op_bop(product_Pair_bop_bop,U_1491),U_1490)))
            | ~ is_bop(U_1490)
            | ~ is_bop(U_1491) )
        | ~ hBOOL(hAPP_P1085566419p_bool(U_1496,sK220(U_1496))) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK221]),skolemize(U_1493,sK221(U_1497))],[f_309_4]) ).

fof(f_309_6,plain,
    ( ! [U_1497] :
        ( ! [U_1494] : hBOOL(hAPP_P1085566419p_bool(U_1497,U_1494))
        | ( ~ hBOOL(hAPP_P1085566419p_bool(U_1497,hAPP_b1909667208op_bop(hAPP_b1058859669op_bop(product_Pair_bop_bop,sK221(U_1497)),sK222(U_1497))))
          & is_bop(sK222(U_1497))
          & is_bop(sK221(U_1497)) ) )
    & ! [U_1496] :
        ( ! [U_1491,U_1490] :
            ( hBOOL(hAPP_P1085566419p_bool(U_1496,hAPP_b1909667208op_bop(hAPP_b1058859669op_bop(product_Pair_bop_bop,U_1491),U_1490)))
            | ~ is_bop(U_1490)
            | ~ is_bop(U_1491) )
        | ~ hBOOL(hAPP_P1085566419p_bool(U_1496,sK220(U_1496))) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK222]),skolemize(U_1492,sK222(U_1497))],[f_309_5]) ).

cnf(f_309_7,plain,
    ( hBOOL(hAPP_P1085566419p_bool(U_1496,hAPP_b1909667208op_bop(hAPP_b1058859669op_bop(product_Pair_bop_bop,U_1491),U_1490)))
    | ~ is_bop(U_1490)
    | ~ is_bop(U_1491)
    | ~ hBOOL(hAPP_P1085566419p_bool(U_1496,sK220(U_1496))) ),
    inference(clausify,[status(thm)],[f_309_6]) ).

cnf(f_309_8,plain,
    ( is_bop(sK221(U_1497))
    | hBOOL(hAPP_P1085566419p_bool(U_1497,U_1494)) ),
    inference(clausify,[status(thm)],[f_309_6]) ).

cnf(f_309_9,plain,
    ( is_bop(sK222(U_1497))
    | hBOOL(hAPP_P1085566419p_bool(U_1497,U_1494)) ),
    inference(clausify,[status(thm)],[f_309_6]) ).

cnf(f_309_10,plain,
    ( ~ hBOOL(hAPP_P1085566419p_bool(U_1497,hAPP_b1909667208op_bop(hAPP_b1058859669op_bop(product_Pair_bop_bop,sK221(U_1497)),sK222(U_1497))))
    | hBOOL(hAPP_P1085566419p_bool(U_1497,U_1494)) ),
    inference(clausify,[status(thm)],[f_309_6]) ).

fof(f_310_1,plain,
    ! [Pa] :
      ( ( ! [X1] : hBOOL(hAPP_P504978887l_bool(Pa,X1))
        | ? [A_1,B_2] : ~ hBOOL(hAPP_P504978887l_bool(Pa,hAPP_f1146435765on_val(hAPP_f1744304433on_val(produc1618304727on_val,A_1),B_2))) )
      & ( ! [A_1,B_2] : hBOOL(hAPP_P504978887l_bool(Pa,hAPP_f1146435765on_val(hAPP_f1744304433on_val(produc1618304727on_val,A_1),B_2)))
        | ? [X1] : ~ hBOOL(hAPP_P504978887l_bool(Pa,X1)) ) ),
    inference(fof_nnf,[status(thm)],[fact_168_split__paired__All]) ).

fof(f_310_2,plain,
    ! [U_1504] :
      ( ( ! [U_1503] : hBOOL(hAPP_P504978887l_bool(U_1504,U_1503))
        | ? [U_1502,U_1501] : ~ hBOOL(hAPP_P504978887l_bool(U_1504,hAPP_f1146435765on_val(hAPP_f1744304433on_val(produc1618304727on_val,U_1502),U_1501))) )
      & ( ! [U_1500,U_1499] : hBOOL(hAPP_P504978887l_bool(U_1504,hAPP_f1146435765on_val(hAPP_f1744304433on_val(produc1618304727on_val,U_1500),U_1499)))
        | ? [U_1498] : ~ hBOOL(hAPP_P504978887l_bool(U_1504,U_1498)) ) ),
    inference(variable_rename,[status(thm)],[f_310_1]) ).

fof(f_310_3,plain,
    ( ! [U_1506] :
        ( ! [U_1503] : hBOOL(hAPP_P504978887l_bool(U_1506,U_1503))
        | ? [U_1502,U_1501] : ~ hBOOL(hAPP_P504978887l_bool(U_1506,hAPP_f1146435765on_val(hAPP_f1744304433on_val(produc1618304727on_val,U_1502),U_1501))) )
    & ! [U_1505] :
        ( ! [U_1500,U_1499] : hBOOL(hAPP_P504978887l_bool(U_1505,hAPP_f1146435765on_val(hAPP_f1744304433on_val(produc1618304727on_val,U_1500),U_1499)))
        | ? [U_1498] : ~ hBOOL(hAPP_P504978887l_bool(U_1505,U_1498)) ) ),
    inference(miniscope,[status(thm)],[f_310_2]) ).

fof(f_310_4,plain,
    ( ! [U_1506] :
        ( ! [U_1503] : hBOOL(hAPP_P504978887l_bool(U_1506,U_1503))
        | ? [U_1502,U_1501] : ~ hBOOL(hAPP_P504978887l_bool(U_1506,hAPP_f1146435765on_val(hAPP_f1744304433on_val(produc1618304727on_val,U_1502),U_1501))) )
    & ! [U_1505] :
        ( ! [U_1500,U_1499] : hBOOL(hAPP_P504978887l_bool(U_1505,hAPP_f1146435765on_val(hAPP_f1744304433on_val(produc1618304727on_val,U_1500),U_1499)))
        | ~ hBOOL(hAPP_P504978887l_bool(U_1505,sK223(U_1505))) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK223]),skolemize(U_1498,sK223(U_1505))],[f_310_3]) ).

fof(f_310_5,plain,
    ( ! [U_1506] :
        ( ! [U_1503] : hBOOL(hAPP_P504978887l_bool(U_1506,U_1503))
        | ? [U_1501] : ~ hBOOL(hAPP_P504978887l_bool(U_1506,hAPP_f1146435765on_val(hAPP_f1744304433on_val(produc1618304727on_val,sK224(U_1506)),U_1501))) )
    & ! [U_1505] :
        ( ! [U_1500,U_1499] : hBOOL(hAPP_P504978887l_bool(U_1505,hAPP_f1146435765on_val(hAPP_f1744304433on_val(produc1618304727on_val,U_1500),U_1499)))
        | ~ hBOOL(hAPP_P504978887l_bool(U_1505,sK223(U_1505))) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK224]),skolemize(U_1502,sK224(U_1506))],[f_310_4]) ).

fof(f_310_6,plain,
    ( ! [U_1506] :
        ( ! [U_1503] : hBOOL(hAPP_P504978887l_bool(U_1506,U_1503))
        | ~ hBOOL(hAPP_P504978887l_bool(U_1506,hAPP_f1146435765on_val(hAPP_f1744304433on_val(produc1618304727on_val,sK224(U_1506)),sK225(U_1506)))) )
    & ! [U_1505] :
        ( ! [U_1500,U_1499] : hBOOL(hAPP_P504978887l_bool(U_1505,hAPP_f1146435765on_val(hAPP_f1744304433on_val(produc1618304727on_val,U_1500),U_1499)))
        | ~ hBOOL(hAPP_P504978887l_bool(U_1505,sK223(U_1505))) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK225]),skolemize(U_1501,sK225(U_1506))],[f_310_5]) ).

cnf(f_310_7,plain,
    ( hBOOL(hAPP_P504978887l_bool(U_1505,hAPP_f1146435765on_val(hAPP_f1744304433on_val(produc1618304727on_val,U_1500),U_1499)))
    | ~ hBOOL(hAPP_P504978887l_bool(U_1505,sK223(U_1505))) ),
    inference(clausify,[status(thm)],[f_310_6]) ).

cnf(f_310_8,plain,
    ( hBOOL(hAPP_P504978887l_bool(U_1506,U_1503))
    | ~ hBOOL(hAPP_P504978887l_bool(U_1506,hAPP_f1146435765on_val(hAPP_f1744304433on_val(produc1618304727on_val,sK224(U_1506)),sK225(U_1506)))) ),
    inference(clausify,[status(thm)],[f_310_6]) ).

fof(f_311_1,plain,
    ! [Pa] :
      ( ( ! [X1] : hBOOL(hAPP_P2077557811l_bool(Pa,X1))
        | ? [A_1,B_2] : ~ hBOOL(hAPP_P2077557811l_bool(Pa,hAPP_f368284312on_val(hAPP_f1805337205on_val(produc1712663241on_val,A_1),B_2))) )
      & ( ! [A_1,B_2] : hBOOL(hAPP_P2077557811l_bool(Pa,hAPP_f368284312on_val(hAPP_f1805337205on_val(produc1712663241on_val,A_1),B_2)))
        | ? [X1] : ~ hBOOL(hAPP_P2077557811l_bool(Pa,X1)) ) ),
    inference(fof_nnf,[status(thm)],[fact_169_split__paired__All]) ).

fof(f_311_2,plain,
    ! [U_1513] :
      ( ( ! [U_1512] : hBOOL(hAPP_P2077557811l_bool(U_1513,U_1512))
        | ? [U_1511,U_1510] : ~ hBOOL(hAPP_P2077557811l_bool(U_1513,hAPP_f368284312on_val(hAPP_f1805337205on_val(produc1712663241on_val,U_1511),U_1510))) )
      & ( ! [U_1509,U_1508] : hBOOL(hAPP_P2077557811l_bool(U_1513,hAPP_f368284312on_val(hAPP_f1805337205on_val(produc1712663241on_val,U_1509),U_1508)))
        | ? [U_1507] : ~ hBOOL(hAPP_P2077557811l_bool(U_1513,U_1507)) ) ),
    inference(variable_rename,[status(thm)],[f_311_1]) ).

fof(f_311_3,plain,
    ( ! [U_1515] :
        ( ! [U_1512] : hBOOL(hAPP_P2077557811l_bool(U_1515,U_1512))
        | ? [U_1511,U_1510] : ~ hBOOL(hAPP_P2077557811l_bool(U_1515,hAPP_f368284312on_val(hAPP_f1805337205on_val(produc1712663241on_val,U_1511),U_1510))) )
    & ! [U_1514] :
        ( ! [U_1509,U_1508] : hBOOL(hAPP_P2077557811l_bool(U_1514,hAPP_f368284312on_val(hAPP_f1805337205on_val(produc1712663241on_val,U_1509),U_1508)))
        | ? [U_1507] : ~ hBOOL(hAPP_P2077557811l_bool(U_1514,U_1507)) ) ),
    inference(miniscope,[status(thm)],[f_311_2]) ).

fof(f_311_4,plain,
    ( ! [U_1515] :
        ( ! [U_1512] : hBOOL(hAPP_P2077557811l_bool(U_1515,U_1512))
        | ? [U_1511,U_1510] : ~ hBOOL(hAPP_P2077557811l_bool(U_1515,hAPP_f368284312on_val(hAPP_f1805337205on_val(produc1712663241on_val,U_1511),U_1510))) )
    & ! [U_1514] :
        ( ! [U_1509,U_1508] : hBOOL(hAPP_P2077557811l_bool(U_1514,hAPP_f368284312on_val(hAPP_f1805337205on_val(produc1712663241on_val,U_1509),U_1508)))
        | ~ hBOOL(hAPP_P2077557811l_bool(U_1514,sK226(U_1514))) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK226]),skolemize(U_1507,sK226(U_1514))],[f_311_3]) ).

fof(f_311_5,plain,
    ( ! [U_1515] :
        ( ! [U_1512] : hBOOL(hAPP_P2077557811l_bool(U_1515,U_1512))
        | ? [U_1510] : ~ hBOOL(hAPP_P2077557811l_bool(U_1515,hAPP_f368284312on_val(hAPP_f1805337205on_val(produc1712663241on_val,sK227(U_1515)),U_1510))) )
    & ! [U_1514] :
        ( ! [U_1509,U_1508] : hBOOL(hAPP_P2077557811l_bool(U_1514,hAPP_f368284312on_val(hAPP_f1805337205on_val(produc1712663241on_val,U_1509),U_1508)))
        | ~ hBOOL(hAPP_P2077557811l_bool(U_1514,sK226(U_1514))) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK227]),skolemize(U_1511,sK227(U_1515))],[f_311_4]) ).

fof(f_311_6,plain,
    ( ! [U_1515] :
        ( ! [U_1512] : hBOOL(hAPP_P2077557811l_bool(U_1515,U_1512))
        | ~ hBOOL(hAPP_P2077557811l_bool(U_1515,hAPP_f368284312on_val(hAPP_f1805337205on_val(produc1712663241on_val,sK227(U_1515)),sK228(U_1515)))) )
    & ! [U_1514] :
        ( ! [U_1509,U_1508] : hBOOL(hAPP_P2077557811l_bool(U_1514,hAPP_f368284312on_val(hAPP_f1805337205on_val(produc1712663241on_val,U_1509),U_1508)))
        | ~ hBOOL(hAPP_P2077557811l_bool(U_1514,sK226(U_1514))) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK228]),skolemize(U_1510,sK228(U_1515))],[f_311_5]) ).

cnf(f_311_7,plain,
    ( hBOOL(hAPP_P2077557811l_bool(U_1514,hAPP_f368284312on_val(hAPP_f1805337205on_val(produc1712663241on_val,U_1509),U_1508)))
    | ~ hBOOL(hAPP_P2077557811l_bool(U_1514,sK226(U_1514))) ),
    inference(clausify,[status(thm)],[f_311_6]) ).

cnf(f_311_8,plain,
    ( hBOOL(hAPP_P2077557811l_bool(U_1515,U_1512))
    | ~ hBOOL(hAPP_P2077557811l_bool(U_1515,hAPP_f368284312on_val(hAPP_f1805337205on_val(produc1712663241on_val,sK227(U_1515)),sK228(U_1515)))) ),
    inference(clausify,[status(thm)],[f_311_6]) ).

fof(f_312_1,plain,
    ! [Pa] :
      ( ( ! [X1] : hBOOL(hAPP_P468446343l_bool(Pa,X1))
        | ? [A_1,B_2] : ~ hBOOL(hAPP_P468446343l_bool(Pa,hAPP_f1741070310on_val(hAPP_f864891091on_val(produc1960514199on_val,A_1),B_2))) )
      & ( ! [A_1,B_2] : hBOOL(hAPP_P468446343l_bool(Pa,hAPP_f1741070310on_val(hAPP_f864891091on_val(produc1960514199on_val,A_1),B_2)))
        | ? [X1] : ~ hBOOL(hAPP_P468446343l_bool(Pa,X1)) ) ),
    inference(fof_nnf,[status(thm)],[fact_170_split__paired__All]) ).

fof(f_312_2,plain,
    ! [U_1522] :
      ( ( ! [U_1521] : hBOOL(hAPP_P468446343l_bool(U_1522,U_1521))
        | ? [U_1520,U_1519] : ~ hBOOL(hAPP_P468446343l_bool(U_1522,hAPP_f1741070310on_val(hAPP_f864891091on_val(produc1960514199on_val,U_1520),U_1519))) )
      & ( ! [U_1518,U_1517] : hBOOL(hAPP_P468446343l_bool(U_1522,hAPP_f1741070310on_val(hAPP_f864891091on_val(produc1960514199on_val,U_1518),U_1517)))
        | ? [U_1516] : ~ hBOOL(hAPP_P468446343l_bool(U_1522,U_1516)) ) ),
    inference(variable_rename,[status(thm)],[f_312_1]) ).

fof(f_312_3,plain,
    ( ! [U_1524] :
        ( ! [U_1521] : hBOOL(hAPP_P468446343l_bool(U_1524,U_1521))
        | ? [U_1520,U_1519] : ~ hBOOL(hAPP_P468446343l_bool(U_1524,hAPP_f1741070310on_val(hAPP_f864891091on_val(produc1960514199on_val,U_1520),U_1519))) )
    & ! [U_1523] :
        ( ! [U_1518,U_1517] : hBOOL(hAPP_P468446343l_bool(U_1523,hAPP_f1741070310on_val(hAPP_f864891091on_val(produc1960514199on_val,U_1518),U_1517)))
        | ? [U_1516] : ~ hBOOL(hAPP_P468446343l_bool(U_1523,U_1516)) ) ),
    inference(miniscope,[status(thm)],[f_312_2]) ).

fof(f_312_4,plain,
    ( ! [U_1524] :
        ( ! [U_1521] : hBOOL(hAPP_P468446343l_bool(U_1524,U_1521))
        | ? [U_1520,U_1519] : ~ hBOOL(hAPP_P468446343l_bool(U_1524,hAPP_f1741070310on_val(hAPP_f864891091on_val(produc1960514199on_val,U_1520),U_1519))) )
    & ! [U_1523] :
        ( ! [U_1518,U_1517] : hBOOL(hAPP_P468446343l_bool(U_1523,hAPP_f1741070310on_val(hAPP_f864891091on_val(produc1960514199on_val,U_1518),U_1517)))
        | ~ hBOOL(hAPP_P468446343l_bool(U_1523,sK229(U_1523))) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK229]),skolemize(U_1516,sK229(U_1523))],[f_312_3]) ).

fof(f_312_5,plain,
    ( ! [U_1524] :
        ( ! [U_1521] : hBOOL(hAPP_P468446343l_bool(U_1524,U_1521))
        | ? [U_1519] : ~ hBOOL(hAPP_P468446343l_bool(U_1524,hAPP_f1741070310on_val(hAPP_f864891091on_val(produc1960514199on_val,sK230(U_1524)),U_1519))) )
    & ! [U_1523] :
        ( ! [U_1518,U_1517] : hBOOL(hAPP_P468446343l_bool(U_1523,hAPP_f1741070310on_val(hAPP_f864891091on_val(produc1960514199on_val,U_1518),U_1517)))
        | ~ hBOOL(hAPP_P468446343l_bool(U_1523,sK229(U_1523))) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK230]),skolemize(U_1520,sK230(U_1524))],[f_312_4]) ).

fof(f_312_6,plain,
    ( ! [U_1524] :
        ( ! [U_1521] : hBOOL(hAPP_P468446343l_bool(U_1524,U_1521))
        | ~ hBOOL(hAPP_P468446343l_bool(U_1524,hAPP_f1741070310on_val(hAPP_f864891091on_val(produc1960514199on_val,sK230(U_1524)),sK231(U_1524)))) )
    & ! [U_1523] :
        ( ! [U_1518,U_1517] : hBOOL(hAPP_P468446343l_bool(U_1523,hAPP_f1741070310on_val(hAPP_f864891091on_val(produc1960514199on_val,U_1518),U_1517)))
        | ~ hBOOL(hAPP_P468446343l_bool(U_1523,sK229(U_1523))) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK231]),skolemize(U_1519,sK231(U_1524))],[f_312_5]) ).

cnf(f_312_7,plain,
    ( hBOOL(hAPP_P468446343l_bool(U_1523,hAPP_f1741070310on_val(hAPP_f864891091on_val(produc1960514199on_val,U_1518),U_1517)))
    | ~ hBOOL(hAPP_P468446343l_bool(U_1523,sK229(U_1523))) ),
    inference(clausify,[status(thm)],[f_312_6]) ).

cnf(f_312_8,plain,
    ( hBOOL(hAPP_P468446343l_bool(U_1524,U_1521))
    | ~ hBOOL(hAPP_P468446343l_bool(U_1524,hAPP_f1741070310on_val(hAPP_f864891091on_val(produc1960514199on_val,sK230(U_1524)),sK231(U_1524)))) ),
    inference(clausify,[status(thm)],[f_312_6]) ).

fof(f_313_1,plain,
    ! [Pa] :
      ( ( ! [X1] : hBOOL(hAPP_P282169671l_bool(Pa,X1))
        | ? [A_1,B_2] : ~ hBOOL(hAPP_P282169671l_bool(Pa,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_1),B_2))) )
      & ( ! [A_1,B_2] : hBOOL(hAPP_P282169671l_bool(Pa,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_1),B_2)))
        | ? [X1] : ~ hBOOL(hAPP_P282169671l_bool(Pa,X1)) ) ),
    inference(fof_nnf,[status(thm)],[fact_171_split__paired__All]) ).

fof(f_313_2,plain,
    ! [U_1531] :
      ( ( ! [U_1530] : hBOOL(hAPP_P282169671l_bool(U_1531,U_1530))
        | ? [U_1529,U_1528] : ~ hBOOL(hAPP_P282169671l_bool(U_1531,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_1529),U_1528))) )
      & ( ! [U_1527,U_1526] : hBOOL(hAPP_P282169671l_bool(U_1531,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_1527),U_1526)))
        | ? [U_1525] : ~ hBOOL(hAPP_P282169671l_bool(U_1531,U_1525)) ) ),
    inference(variable_rename,[status(thm)],[f_313_1]) ).

fof(f_313_3,plain,
    ( ! [U_1533] :
        ( ! [U_1530] : hBOOL(hAPP_P282169671l_bool(U_1533,U_1530))
        | ? [U_1529,U_1528] : ~ hBOOL(hAPP_P282169671l_bool(U_1533,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_1529),U_1528))) )
    & ! [U_1532] :
        ( ! [U_1527,U_1526] : hBOOL(hAPP_P282169671l_bool(U_1532,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_1527),U_1526)))
        | ? [U_1525] : ~ hBOOL(hAPP_P282169671l_bool(U_1532,U_1525)) ) ),
    inference(miniscope,[status(thm)],[f_313_2]) ).

fof(f_313_4,plain,
    ( ! [U_1533] :
        ( ! [U_1530] : hBOOL(hAPP_P282169671l_bool(U_1533,U_1530))
        | ? [U_1529,U_1528] : ~ hBOOL(hAPP_P282169671l_bool(U_1533,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_1529),U_1528))) )
    & ! [U_1532] :
        ( ! [U_1527,U_1526] : hBOOL(hAPP_P282169671l_bool(U_1532,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_1527),U_1526)))
        | ~ hBOOL(hAPP_P282169671l_bool(U_1532,sK232(U_1532))) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK232]),skolemize(U_1525,sK232(U_1532))],[f_313_3]) ).

fof(f_313_5,plain,
    ( ! [U_1533] :
        ( ! [U_1530] : hBOOL(hAPP_P282169671l_bool(U_1533,U_1530))
        | ? [U_1528] : ~ hBOOL(hAPP_P282169671l_bool(U_1533,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK233(U_1533)),U_1528))) )
    & ! [U_1532] :
        ( ! [U_1527,U_1526] : hBOOL(hAPP_P282169671l_bool(U_1532,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_1527),U_1526)))
        | ~ hBOOL(hAPP_P282169671l_bool(U_1532,sK232(U_1532))) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK233]),skolemize(U_1529,sK233(U_1533))],[f_313_4]) ).

fof(f_313_6,plain,
    ( ! [U_1533] :
        ( ! [U_1530] : hBOOL(hAPP_P282169671l_bool(U_1533,U_1530))
        | ~ hBOOL(hAPP_P282169671l_bool(U_1533,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK233(U_1533)),sK234(U_1533)))) )
    & ! [U_1532] :
        ( ! [U_1527,U_1526] : hBOOL(hAPP_P282169671l_bool(U_1532,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_1527),U_1526)))
        | ~ hBOOL(hAPP_P282169671l_bool(U_1532,sK232(U_1532))) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK234]),skolemize(U_1528,sK234(U_1533))],[f_313_5]) ).

cnf(f_313_7,plain,
    ( hBOOL(hAPP_P282169671l_bool(U_1532,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_1527),U_1526)))
    | ~ hBOOL(hAPP_P282169671l_bool(U_1532,sK232(U_1532))) ),
    inference(clausify,[status(thm)],[f_313_6]) ).

cnf(f_313_8,plain,
    ( hBOOL(hAPP_P282169671l_bool(U_1533,U_1530))
    | ~ hBOOL(hAPP_P282169671l_bool(U_1533,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK233(U_1533)),sK234(U_1533)))) ),
    inference(clausify,[status(thm)],[f_313_6]) ).

fof(f_314_1,plain,
    ! [Pa] :
      ( ( ! [X1] : hBOOL(hAPP_P1708370145l_bool(Pa,X1))
        | ? [A_1,B_2] : ~ hBOOL(hAPP_P1708370145l_bool(Pa,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A_1),B_2))) )
      & ( ! [A_1,B_2] : hBOOL(hAPP_P1708370145l_bool(Pa,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A_1),B_2)))
        | ? [X1] : ~ hBOOL(hAPP_P1708370145l_bool(Pa,X1)) ) ),
    inference(fof_nnf,[status(thm)],[fact_172_split__paired__All]) ).

fof(f_314_2,plain,
    ! [U_1540] :
      ( ( ! [U_1539] : hBOOL(hAPP_P1708370145l_bool(U_1540,U_1539))
        | ? [U_1538,U_1537] : ~ hBOOL(hAPP_P1708370145l_bool(U_1540,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_1538),U_1537))) )
      & ( ! [U_1536,U_1535] : hBOOL(hAPP_P1708370145l_bool(U_1540,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_1536),U_1535)))
        | ? [U_1534] : ~ hBOOL(hAPP_P1708370145l_bool(U_1540,U_1534)) ) ),
    inference(variable_rename,[status(thm)],[f_314_1]) ).

fof(f_314_3,plain,
    ( ! [U_1542] :
        ( ! [U_1539] : hBOOL(hAPP_P1708370145l_bool(U_1542,U_1539))
        | ? [U_1538,U_1537] : ~ hBOOL(hAPP_P1708370145l_bool(U_1542,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_1538),U_1537))) )
    & ! [U_1541] :
        ( ! [U_1536,U_1535] : hBOOL(hAPP_P1708370145l_bool(U_1541,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_1536),U_1535)))
        | ? [U_1534] : ~ hBOOL(hAPP_P1708370145l_bool(U_1541,U_1534)) ) ),
    inference(miniscope,[status(thm)],[f_314_2]) ).

fof(f_314_4,plain,
    ( ! [U_1542] :
        ( ! [U_1539] : hBOOL(hAPP_P1708370145l_bool(U_1542,U_1539))
        | ? [U_1538,U_1537] : ~ hBOOL(hAPP_P1708370145l_bool(U_1542,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_1538),U_1537))) )
    & ! [U_1541] :
        ( ! [U_1536,U_1535] : hBOOL(hAPP_P1708370145l_bool(U_1541,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_1536),U_1535)))
        | ~ hBOOL(hAPP_P1708370145l_bool(U_1541,sK235(U_1541))) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK235]),skolemize(U_1534,sK235(U_1541))],[f_314_3]) ).

fof(f_314_5,plain,
    ( ! [U_1542] :
        ( ! [U_1539] : hBOOL(hAPP_P1708370145l_bool(U_1542,U_1539))
        | ? [U_1537] : ~ hBOOL(hAPP_P1708370145l_bool(U_1542,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK236(U_1542)),U_1537))) )
    & ! [U_1541] :
        ( ! [U_1536,U_1535] : hBOOL(hAPP_P1708370145l_bool(U_1541,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_1536),U_1535)))
        | ~ hBOOL(hAPP_P1708370145l_bool(U_1541,sK235(U_1541))) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK236]),skolemize(U_1538,sK236(U_1542))],[f_314_4]) ).

fof(f_314_6,plain,
    ( ! [U_1542] :
        ( ! [U_1539] : hBOOL(hAPP_P1708370145l_bool(U_1542,U_1539))
        | ~ hBOOL(hAPP_P1708370145l_bool(U_1542,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK236(U_1542)),sK237(U_1542)))) )
    & ! [U_1541] :
        ( ! [U_1536,U_1535] : hBOOL(hAPP_P1708370145l_bool(U_1541,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_1536),U_1535)))
        | ~ hBOOL(hAPP_P1708370145l_bool(U_1541,sK235(U_1541))) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK237]),skolemize(U_1537,sK237(U_1542))],[f_314_5]) ).

cnf(f_314_7,plain,
    ( hBOOL(hAPP_P1708370145l_bool(U_1541,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_1536),U_1535)))
    | ~ hBOOL(hAPP_P1708370145l_bool(U_1541,sK235(U_1541))) ),
    inference(clausify,[status(thm)],[f_314_6]) ).

cnf(f_314_8,plain,
    ( hBOOL(hAPP_P1708370145l_bool(U_1542,U_1539))
    | ~ hBOOL(hAPP_P1708370145l_bool(U_1542,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK236(U_1542)),sK237(U_1542)))) ),
    inference(clausify,[status(thm)],[f_314_6]) ).

fof(f_315_1,plain,
    ! [Pa] :
      ( ( ! [X1] : hBOOL(hAPP_P159683425l_bool(Pa,X1))
        | ? [A_1,B_2] : ~ hBOOL(hAPP_P159683425l_bool(Pa,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A_1),B_2))) )
      & ( ! [A_1,B_2] : hBOOL(hAPP_P159683425l_bool(Pa,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A_1),B_2)))
        | ? [X1] : ~ hBOOL(hAPP_P159683425l_bool(Pa,X1)) ) ),
    inference(fof_nnf,[status(thm)],[fact_173_split__paired__All]) ).

fof(f_315_2,plain,
    ! [U_1549] :
      ( ( ! [U_1548] : hBOOL(hAPP_P159683425l_bool(U_1549,U_1548))
        | ? [U_1547,U_1546] : ~ hBOOL(hAPP_P159683425l_bool(U_1549,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_1547),U_1546))) )
      & ( ! [U_1545,U_1544] : hBOOL(hAPP_P159683425l_bool(U_1549,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_1545),U_1544)))
        | ? [U_1543] : ~ hBOOL(hAPP_P159683425l_bool(U_1549,U_1543)) ) ),
    inference(variable_rename,[status(thm)],[f_315_1]) ).

fof(f_315_3,plain,
    ( ! [U_1551] :
        ( ! [U_1548] : hBOOL(hAPP_P159683425l_bool(U_1551,U_1548))
        | ? [U_1547,U_1546] : ~ hBOOL(hAPP_P159683425l_bool(U_1551,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_1547),U_1546))) )
    & ! [U_1550] :
        ( ! [U_1545,U_1544] : hBOOL(hAPP_P159683425l_bool(U_1550,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_1545),U_1544)))
        | ? [U_1543] : ~ hBOOL(hAPP_P159683425l_bool(U_1550,U_1543)) ) ),
    inference(miniscope,[status(thm)],[f_315_2]) ).

fof(f_315_4,plain,
    ( ! [U_1551] :
        ( ! [U_1548] : hBOOL(hAPP_P159683425l_bool(U_1551,U_1548))
        | ? [U_1547,U_1546] : ~ hBOOL(hAPP_P159683425l_bool(U_1551,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_1547),U_1546))) )
    & ! [U_1550] :
        ( ! [U_1545,U_1544] : hBOOL(hAPP_P159683425l_bool(U_1550,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_1545),U_1544)))
        | ~ hBOOL(hAPP_P159683425l_bool(U_1550,sK238(U_1550))) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK238]),skolemize(U_1543,sK238(U_1550))],[f_315_3]) ).

fof(f_315_5,plain,
    ( ! [U_1551] :
        ( ! [U_1548] : hBOOL(hAPP_P159683425l_bool(U_1551,U_1548))
        | ? [U_1546] : ~ hBOOL(hAPP_P159683425l_bool(U_1551,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK239(U_1551)),U_1546))) )
    & ! [U_1550] :
        ( ! [U_1545,U_1544] : hBOOL(hAPP_P159683425l_bool(U_1550,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_1545),U_1544)))
        | ~ hBOOL(hAPP_P159683425l_bool(U_1550,sK238(U_1550))) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK239]),skolemize(U_1547,sK239(U_1551))],[f_315_4]) ).

fof(f_315_6,plain,
    ( ! [U_1551] :
        ( ! [U_1548] : hBOOL(hAPP_P159683425l_bool(U_1551,U_1548))
        | ~ hBOOL(hAPP_P159683425l_bool(U_1551,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK239(U_1551)),sK240(U_1551)))) )
    & ! [U_1550] :
        ( ! [U_1545,U_1544] : hBOOL(hAPP_P159683425l_bool(U_1550,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_1545),U_1544)))
        | ~ hBOOL(hAPP_P159683425l_bool(U_1550,sK238(U_1550))) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK240]),skolemize(U_1546,sK240(U_1551))],[f_315_5]) ).

cnf(f_315_7,plain,
    ( hBOOL(hAPP_P159683425l_bool(U_1550,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_1545),U_1544)))
    | ~ hBOOL(hAPP_P159683425l_bool(U_1550,sK238(U_1550))) ),
    inference(clausify,[status(thm)],[f_315_6]) ).

cnf(f_315_8,plain,
    ( hBOOL(hAPP_P159683425l_bool(U_1551,U_1548))
    | ~ hBOOL(hAPP_P159683425l_bool(U_1551,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK239(U_1551)),sK240(U_1551)))) ),
    inference(clausify,[status(thm)],[f_315_6]) ).

fof(f_316_1,plain,
    ! [Pa] :
      ( ( ! [X1] : hBOOL(hAPP_P1235399154l_bool(Pa,X1))
        | ? [A_1,B_2] : ~ hBOOL(hAPP_P1235399154l_bool(Pa,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,A_1),B_2))) )
      & ( ! [A_1,B_2] : hBOOL(hAPP_P1235399154l_bool(Pa,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,A_1),B_2)))
        | ? [X1] : ~ hBOOL(hAPP_P1235399154l_bool(Pa,X1)) ) ),
    inference(fof_nnf,[status(thm)],[fact_174_split__paired__All]) ).

fof(f_316_2,plain,
    ! [U_1558] :
      ( ( ! [U_1557] : hBOOL(hAPP_P1235399154l_bool(U_1558,U_1557))
        | ? [U_1556,U_1555] : ~ hBOOL(hAPP_P1235399154l_bool(U_1558,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_1556),U_1555))) )
      & ( ! [U_1554,U_1553] : hBOOL(hAPP_P1235399154l_bool(U_1558,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_1554),U_1553)))
        | ? [U_1552] : ~ hBOOL(hAPP_P1235399154l_bool(U_1558,U_1552)) ) ),
    inference(variable_rename,[status(thm)],[f_316_1]) ).

fof(f_316_3,plain,
    ( ! [U_1560] :
        ( ! [U_1557] : hBOOL(hAPP_P1235399154l_bool(U_1560,U_1557))
        | ? [U_1556,U_1555] : ~ hBOOL(hAPP_P1235399154l_bool(U_1560,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_1556),U_1555))) )
    & ! [U_1559] :
        ( ! [U_1554,U_1553] : hBOOL(hAPP_P1235399154l_bool(U_1559,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_1554),U_1553)))
        | ? [U_1552] : ~ hBOOL(hAPP_P1235399154l_bool(U_1559,U_1552)) ) ),
    inference(miniscope,[status(thm)],[f_316_2]) ).

fof(f_316_4,plain,
    ( ! [U_1560] :
        ( ! [U_1557] : hBOOL(hAPP_P1235399154l_bool(U_1560,U_1557))
        | ? [U_1556,U_1555] : ~ hBOOL(hAPP_P1235399154l_bool(U_1560,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_1556),U_1555))) )
    & ! [U_1559] :
        ( ! [U_1554,U_1553] : hBOOL(hAPP_P1235399154l_bool(U_1559,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_1554),U_1553)))
        | ~ hBOOL(hAPP_P1235399154l_bool(U_1559,sK241(U_1559))) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK241]),skolemize(U_1552,sK241(U_1559))],[f_316_3]) ).

fof(f_316_5,plain,
    ( ! [U_1560] :
        ( ! [U_1557] : hBOOL(hAPP_P1235399154l_bool(U_1560,U_1557))
        | ? [U_1555] : ~ hBOOL(hAPP_P1235399154l_bool(U_1560,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,sK242(U_1560)),U_1555))) )
    & ! [U_1559] :
        ( ! [U_1554,U_1553] : hBOOL(hAPP_P1235399154l_bool(U_1559,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_1554),U_1553)))
        | ~ hBOOL(hAPP_P1235399154l_bool(U_1559,sK241(U_1559))) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK242]),skolemize(U_1556,sK242(U_1560))],[f_316_4]) ).

fof(f_316_6,plain,
    ( ! [U_1560] :
        ( ! [U_1557] : hBOOL(hAPP_P1235399154l_bool(U_1560,U_1557))
        | ~ hBOOL(hAPP_P1235399154l_bool(U_1560,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,sK242(U_1560)),sK243(U_1560)))) )
    & ! [U_1559] :
        ( ! [U_1554,U_1553] : hBOOL(hAPP_P1235399154l_bool(U_1559,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_1554),U_1553)))
        | ~ hBOOL(hAPP_P1235399154l_bool(U_1559,sK241(U_1559))) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK243]),skolemize(U_1555,sK243(U_1560))],[f_316_5]) ).

cnf(f_316_7,plain,
    ( hBOOL(hAPP_P1235399154l_bool(U_1559,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_1554),U_1553)))
    | ~ hBOOL(hAPP_P1235399154l_bool(U_1559,sK241(U_1559))) ),
    inference(clausify,[status(thm)],[f_316_6]) ).

cnf(f_316_8,plain,
    ( hBOOL(hAPP_P1235399154l_bool(U_1560,U_1557))
    | ~ hBOOL(hAPP_P1235399154l_bool(U_1560,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,sK242(U_1560)),sK243(U_1560)))) ),
    inference(clausify,[status(thm)],[f_316_6]) ).

fof(f_317_1,plain,
    ! [Pa] :
      ( ( ! [X1] : hBOOL(hAPP_P449474095r_bool(Pa,X1))
        | ? [A_1,B_2] : ~ hBOOL(hAPP_P449474095r_bool(Pa,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A_1),B_2))) )
      & ( ! [A_1,B_2] : hBOOL(hAPP_P449474095r_bool(Pa,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A_1),B_2)))
        | ? [X1] : ~ hBOOL(hAPP_P449474095r_bool(Pa,X1)) ) ),
    inference(fof_nnf,[status(thm)],[fact_175_split__paired__All]) ).

fof(f_317_2,plain,
    ! [U_1567] :
      ( ( ! [U_1566] : hBOOL(hAPP_P449474095r_bool(U_1567,U_1566))
        | ? [U_1565,U_1564] : ~ hBOOL(hAPP_P449474095r_bool(U_1567,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_1565),U_1564))) )
      & ( ! [U_1563,U_1562] : hBOOL(hAPP_P449474095r_bool(U_1567,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_1563),U_1562)))
        | ? [U_1561] : ~ hBOOL(hAPP_P449474095r_bool(U_1567,U_1561)) ) ),
    inference(variable_rename,[status(thm)],[f_317_1]) ).

fof(f_317_3,plain,
    ( ! [U_1569] :
        ( ! [U_1566] : hBOOL(hAPP_P449474095r_bool(U_1569,U_1566))
        | ? [U_1565,U_1564] : ~ hBOOL(hAPP_P449474095r_bool(U_1569,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_1565),U_1564))) )
    & ! [U_1568] :
        ( ! [U_1563,U_1562] : hBOOL(hAPP_P449474095r_bool(U_1568,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_1563),U_1562)))
        | ? [U_1561] : ~ hBOOL(hAPP_P449474095r_bool(U_1568,U_1561)) ) ),
    inference(miniscope,[status(thm)],[f_317_2]) ).

fof(f_317_4,plain,
    ( ! [U_1569] :
        ( ! [U_1566] : hBOOL(hAPP_P449474095r_bool(U_1569,U_1566))
        | ? [U_1565,U_1564] : ~ hBOOL(hAPP_P449474095r_bool(U_1569,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_1565),U_1564))) )
    & ! [U_1568] :
        ( ! [U_1563,U_1562] : hBOOL(hAPP_P449474095r_bool(U_1568,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_1563),U_1562)))
        | ~ hBOOL(hAPP_P449474095r_bool(U_1568,sK244(U_1568))) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK244]),skolemize(U_1561,sK244(U_1568))],[f_317_3]) ).

fof(f_317_5,plain,
    ( ! [U_1569] :
        ( ! [U_1566] : hBOOL(hAPP_P449474095r_bool(U_1569,U_1566))
        | ? [U_1564] : ~ hBOOL(hAPP_P449474095r_bool(U_1569,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,sK245(U_1569)),U_1564))) )
    & ! [U_1568] :
        ( ! [U_1563,U_1562] : hBOOL(hAPP_P449474095r_bool(U_1568,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_1563),U_1562)))
        | ~ hBOOL(hAPP_P449474095r_bool(U_1568,sK244(U_1568))) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK245]),skolemize(U_1565,sK245(U_1569))],[f_317_4]) ).

fof(f_317_6,plain,
    ( ! [U_1569] :
        ( ! [U_1566] : hBOOL(hAPP_P449474095r_bool(U_1569,U_1566))
        | ~ hBOOL(hAPP_P449474095r_bool(U_1569,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,sK245(U_1569)),sK246(U_1569)))) )
    & ! [U_1568] :
        ( ! [U_1563,U_1562] : hBOOL(hAPP_P449474095r_bool(U_1568,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_1563),U_1562)))
        | ~ hBOOL(hAPP_P449474095r_bool(U_1568,sK244(U_1568))) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK246]),skolemize(U_1564,sK246(U_1569))],[f_317_5]) ).

cnf(f_317_7,plain,
    ( hBOOL(hAPP_P449474095r_bool(U_1568,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_1563),U_1562)))
    | ~ hBOOL(hAPP_P449474095r_bool(U_1568,sK244(U_1568))) ),
    inference(clausify,[status(thm)],[f_317_6]) ).

cnf(f_317_8,plain,
    ( hBOOL(hAPP_P449474095r_bool(U_1569,U_1566))
    | ~ hBOOL(hAPP_P449474095r_bool(U_1569,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,sK245(U_1569)),sK246(U_1569)))) ),
    inference(clausify,[status(thm)],[f_317_6]) ).

fof(f_318_1,plain,
    ! [Pa] :
      ( ( ! [X1] : hBOOL(hAPP_P943837928l_bool(Pa,X1))
        | ? [A_1,B_2] :
            ( ~ hBOOL(hAPP_P943837928l_bool(Pa,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,A_1),B_2)))
            & is_bop(A_1) ) )
      & ( ! [A_1,B_2] :
            ( hBOOL(hAPP_P943837928l_bool(Pa,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,A_1),B_2)))
            | ~ is_bop(A_1) )
        | ? [X1] : ~ hBOOL(hAPP_P943837928l_bool(Pa,X1)) ) ),
    inference(fof_nnf,[status(thm)],[fact_176_split__paired__All]) ).

fof(f_318_2,plain,
    ! [U_1576] :
      ( ( ! [U_1575] : hBOOL(hAPP_P943837928l_bool(U_1576,U_1575))
        | ? [U_1574,U_1573] :
            ( ~ hBOOL(hAPP_P943837928l_bool(U_1576,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_1574),U_1573)))
            & is_bop(U_1574) ) )
      & ( ! [U_1572,U_1571] :
            ( hBOOL(hAPP_P943837928l_bool(U_1576,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_1572),U_1571)))
            | ~ is_bop(U_1572) )
        | ? [U_1570] : ~ hBOOL(hAPP_P943837928l_bool(U_1576,U_1570)) ) ),
    inference(variable_rename,[status(thm)],[f_318_1]) ).

fof(f_318_3,plain,
    ( ! [U_1578] :
        ( ! [U_1575] : hBOOL(hAPP_P943837928l_bool(U_1578,U_1575))
        | ? [U_1574] :
            ( ? [U_1573] : ~ hBOOL(hAPP_P943837928l_bool(U_1578,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_1574),U_1573)))
            & is_bop(U_1574) ) )
    & ! [U_1577] :
        ( ! [U_1572] :
            ( ! [U_1571] : hBOOL(hAPP_P943837928l_bool(U_1577,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_1572),U_1571)))
            | ~ is_bop(U_1572) )
        | ? [U_1570] : ~ hBOOL(hAPP_P943837928l_bool(U_1577,U_1570)) ) ),
    inference(miniscope,[status(thm)],[f_318_2]) ).

fof(f_318_4,plain,
    ( ! [U_1578] :
        ( ! [U_1575] : hBOOL(hAPP_P943837928l_bool(U_1578,U_1575))
        | ? [U_1574] :
            ( ? [U_1573] : ~ hBOOL(hAPP_P943837928l_bool(U_1578,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_1574),U_1573)))
            & is_bop(U_1574) ) )
    & ! [U_1577] :
        ( ! [U_1572] :
            ( ! [U_1571] : hBOOL(hAPP_P943837928l_bool(U_1577,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_1572),U_1571)))
            | ~ is_bop(U_1572) )
        | ~ hBOOL(hAPP_P943837928l_bool(U_1577,sK247(U_1577))) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK247]),skolemize(U_1570,sK247(U_1577))],[f_318_3]) ).

fof(f_318_5,plain,
    ( ! [U_1578] :
        ( ! [U_1575] : hBOOL(hAPP_P943837928l_bool(U_1578,U_1575))
        | ( ? [U_1573] : ~ hBOOL(hAPP_P943837928l_bool(U_1578,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,sK248(U_1578)),U_1573)))
          & is_bop(sK248(U_1578)) ) )
    & ! [U_1577] :
        ( ! [U_1572] :
            ( ! [U_1571] : hBOOL(hAPP_P943837928l_bool(U_1577,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_1572),U_1571)))
            | ~ is_bop(U_1572) )
        | ~ hBOOL(hAPP_P943837928l_bool(U_1577,sK247(U_1577))) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK248]),skolemize(U_1574,sK248(U_1578))],[f_318_4]) ).

fof(f_318_6,plain,
    ( ! [U_1578] :
        ( ! [U_1575] : hBOOL(hAPP_P943837928l_bool(U_1578,U_1575))
        | ( ~ hBOOL(hAPP_P943837928l_bool(U_1578,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,sK248(U_1578)),sK249(U_1578))))
          & is_bop(sK248(U_1578)) ) )
    & ! [U_1577] :
        ( ! [U_1572] :
            ( ! [U_1571] : hBOOL(hAPP_P943837928l_bool(U_1577,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_1572),U_1571)))
            | ~ is_bop(U_1572) )
        | ~ hBOOL(hAPP_P943837928l_bool(U_1577,sK247(U_1577))) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK249]),skolemize(U_1573,sK249(U_1578))],[f_318_5]) ).

cnf(f_318_7,plain,
    ( hBOOL(hAPP_P943837928l_bool(U_1577,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_1572),U_1571)))
    | ~ is_bop(U_1572)
    | ~ hBOOL(hAPP_P943837928l_bool(U_1577,sK247(U_1577))) ),
    inference(clausify,[status(thm)],[f_318_6]) ).

cnf(f_318_8,plain,
    ( is_bop(sK248(U_1578))
    | hBOOL(hAPP_P943837928l_bool(U_1578,U_1575)) ),
    inference(clausify,[status(thm)],[f_318_6]) ).

cnf(f_318_9,plain,
    ( ~ hBOOL(hAPP_P943837928l_bool(U_1578,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,sK248(U_1578)),sK249(U_1578))))
    | hBOOL(hAPP_P943837928l_bool(U_1578,U_1575)) ),
    inference(clausify,[status(thm)],[f_318_6]) ).

fof(f_319_1,plain,
    ! [Pa] :
      ( ( ! [X1] : hBOOL(hAPP_P929938951l_bool(Pa,X1))
        | ? [A_1,B_2] : ~ hBOOL(hAPP_P929938951l_bool(Pa,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A_1),B_2))) )
      & ( ! [A_1,B_2] : hBOOL(hAPP_P929938951l_bool(Pa,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A_1),B_2)))
        | ? [X1] : ~ hBOOL(hAPP_P929938951l_bool(Pa,X1)) ) ),
    inference(fof_nnf,[status(thm)],[fact_177_split__paired__All]) ).

fof(f_319_2,plain,
    ! [U_1585] :
      ( ( ! [U_1584] : hBOOL(hAPP_P929938951l_bool(U_1585,U_1584))
        | ? [U_1583,U_1582] : ~ hBOOL(hAPP_P929938951l_bool(U_1585,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_1583),U_1582))) )
      & ( ! [U_1581,U_1580] : hBOOL(hAPP_P929938951l_bool(U_1585,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_1581),U_1580)))
        | ? [U_1579] : ~ hBOOL(hAPP_P929938951l_bool(U_1585,U_1579)) ) ),
    inference(variable_rename,[status(thm)],[f_319_1]) ).

fof(f_319_3,plain,
    ( ! [U_1587] :
        ( ! [U_1584] : hBOOL(hAPP_P929938951l_bool(U_1587,U_1584))
        | ? [U_1583,U_1582] : ~ hBOOL(hAPP_P929938951l_bool(U_1587,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_1583),U_1582))) )
    & ! [U_1586] :
        ( ! [U_1581,U_1580] : hBOOL(hAPP_P929938951l_bool(U_1586,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_1581),U_1580)))
        | ? [U_1579] : ~ hBOOL(hAPP_P929938951l_bool(U_1586,U_1579)) ) ),
    inference(miniscope,[status(thm)],[f_319_2]) ).

fof(f_319_4,plain,
    ( ! [U_1587] :
        ( ! [U_1584] : hBOOL(hAPP_P929938951l_bool(U_1587,U_1584))
        | ? [U_1583,U_1582] : ~ hBOOL(hAPP_P929938951l_bool(U_1587,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_1583),U_1582))) )
    & ! [U_1586] :
        ( ! [U_1581,U_1580] : hBOOL(hAPP_P929938951l_bool(U_1586,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_1581),U_1580)))
        | ~ hBOOL(hAPP_P929938951l_bool(U_1586,sK250(U_1586))) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK250]),skolemize(U_1579,sK250(U_1586))],[f_319_3]) ).

fof(f_319_5,plain,
    ( ! [U_1587] :
        ( ! [U_1584] : hBOOL(hAPP_P929938951l_bool(U_1587,U_1584))
        | ? [U_1582] : ~ hBOOL(hAPP_P929938951l_bool(U_1587,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,sK251(U_1587)),U_1582))) )
    & ! [U_1586] :
        ( ! [U_1581,U_1580] : hBOOL(hAPP_P929938951l_bool(U_1586,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_1581),U_1580)))
        | ~ hBOOL(hAPP_P929938951l_bool(U_1586,sK250(U_1586))) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK251]),skolemize(U_1583,sK251(U_1587))],[f_319_4]) ).

fof(f_319_6,plain,
    ( ! [U_1587] :
        ( ! [U_1584] : hBOOL(hAPP_P929938951l_bool(U_1587,U_1584))
        | ~ hBOOL(hAPP_P929938951l_bool(U_1587,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,sK251(U_1587)),sK252(U_1587)))) )
    & ! [U_1586] :
        ( ! [U_1581,U_1580] : hBOOL(hAPP_P929938951l_bool(U_1586,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_1581),U_1580)))
        | ~ hBOOL(hAPP_P929938951l_bool(U_1586,sK250(U_1586))) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK252]),skolemize(U_1582,sK252(U_1587))],[f_319_5]) ).

cnf(f_319_7,plain,
    ( hBOOL(hAPP_P929938951l_bool(U_1586,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_1581),U_1580)))
    | ~ hBOOL(hAPP_P929938951l_bool(U_1586,sK250(U_1586))) ),
    inference(clausify,[status(thm)],[f_319_6]) ).

cnf(f_319_8,plain,
    ( hBOOL(hAPP_P929938951l_bool(U_1587,U_1584))
    | ~ hBOOL(hAPP_P929938951l_bool(U_1587,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,sK251(U_1587)),sK252(U_1587)))) ),
    inference(clausify,[status(thm)],[f_319_6]) ).

fof(f_320_1,plain,
    ! [Pa] :
      ( ( ! [X1] : hBOOL(hAPP_P1333315679l_bool(Pa,X1))
        | ? [A_1,B_2] : ~ hBOOL(hAPP_P1333315679l_bool(Pa,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A_1),B_2))) )
      & ( ! [A_1,B_2] : hBOOL(hAPP_P1333315679l_bool(Pa,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A_1),B_2)))
        | ? [X1] : ~ hBOOL(hAPP_P1333315679l_bool(Pa,X1)) ) ),
    inference(fof_nnf,[status(thm)],[fact_178_split__paired__All]) ).

fof(f_320_2,plain,
    ! [U_1594] :
      ( ( ! [U_1593] : hBOOL(hAPP_P1333315679l_bool(U_1594,U_1593))
        | ? [U_1592,U_1591] : ~ hBOOL(hAPP_P1333315679l_bool(U_1594,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_1592),U_1591))) )
      & ( ! [U_1590,U_1589] : hBOOL(hAPP_P1333315679l_bool(U_1594,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_1590),U_1589)))
        | ? [U_1588] : ~ hBOOL(hAPP_P1333315679l_bool(U_1594,U_1588)) ) ),
    inference(variable_rename,[status(thm)],[f_320_1]) ).

fof(f_320_3,plain,
    ( ! [U_1596] :
        ( ! [U_1593] : hBOOL(hAPP_P1333315679l_bool(U_1596,U_1593))
        | ? [U_1592,U_1591] : ~ hBOOL(hAPP_P1333315679l_bool(U_1596,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_1592),U_1591))) )
    & ! [U_1595] :
        ( ! [U_1590,U_1589] : hBOOL(hAPP_P1333315679l_bool(U_1595,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_1590),U_1589)))
        | ? [U_1588] : ~ hBOOL(hAPP_P1333315679l_bool(U_1595,U_1588)) ) ),
    inference(miniscope,[status(thm)],[f_320_2]) ).

fof(f_320_4,plain,
    ( ! [U_1596] :
        ( ! [U_1593] : hBOOL(hAPP_P1333315679l_bool(U_1596,U_1593))
        | ? [U_1592,U_1591] : ~ hBOOL(hAPP_P1333315679l_bool(U_1596,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_1592),U_1591))) )
    & ! [U_1595] :
        ( ! [U_1590,U_1589] : hBOOL(hAPP_P1333315679l_bool(U_1595,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_1590),U_1589)))
        | ~ hBOOL(hAPP_P1333315679l_bool(U_1595,sK253(U_1595))) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK253]),skolemize(U_1588,sK253(U_1595))],[f_320_3]) ).

fof(f_320_5,plain,
    ( ! [U_1596] :
        ( ! [U_1593] : hBOOL(hAPP_P1333315679l_bool(U_1596,U_1593))
        | ? [U_1591] : ~ hBOOL(hAPP_P1333315679l_bool(U_1596,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,sK254(U_1596)),U_1591))) )
    & ! [U_1595] :
        ( ! [U_1590,U_1589] : hBOOL(hAPP_P1333315679l_bool(U_1595,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_1590),U_1589)))
        | ~ hBOOL(hAPP_P1333315679l_bool(U_1595,sK253(U_1595))) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK254]),skolemize(U_1592,sK254(U_1596))],[f_320_4]) ).

fof(f_320_6,plain,
    ( ! [U_1596] :
        ( ! [U_1593] : hBOOL(hAPP_P1333315679l_bool(U_1596,U_1593))
        | ~ hBOOL(hAPP_P1333315679l_bool(U_1596,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,sK254(U_1596)),sK255(U_1596)))) )
    & ! [U_1595] :
        ( ! [U_1590,U_1589] : hBOOL(hAPP_P1333315679l_bool(U_1595,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_1590),U_1589)))
        | ~ hBOOL(hAPP_P1333315679l_bool(U_1595,sK253(U_1595))) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK255]),skolemize(U_1591,sK255(U_1596))],[f_320_5]) ).

cnf(f_320_7,plain,
    ( hBOOL(hAPP_P1333315679l_bool(U_1595,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_1590),U_1589)))
    | ~ hBOOL(hAPP_P1333315679l_bool(U_1595,sK253(U_1595))) ),
    inference(clausify,[status(thm)],[f_320_6]) ).

cnf(f_320_8,plain,
    ( hBOOL(hAPP_P1333315679l_bool(U_1596,U_1593))
    | ~ hBOOL(hAPP_P1333315679l_bool(U_1596,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,sK254(U_1596)),sK255(U_1596)))) ),
    inference(clausify,[status(thm)],[f_320_6]) ).

fof(f_321_1,plain,
    ! [Pa] :
      ( ( ! [X1] : hBOOL(hAPP_P71593144l_bool(Pa,X1))
        | ? [A_1,B_2] : ~ hBOOL(hAPP_P71593144l_bool(Pa,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,A_1),B_2))) )
      & ( ! [A_1,B_2] : hBOOL(hAPP_P71593144l_bool(Pa,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,A_1),B_2)))
        | ? [X1] : ~ hBOOL(hAPP_P71593144l_bool(Pa,X1)) ) ),
    inference(fof_nnf,[status(thm)],[fact_179_split__paired__All]) ).

fof(f_321_2,plain,
    ! [U_1603] :
      ( ( ! [U_1602] : hBOOL(hAPP_P71593144l_bool(U_1603,U_1602))
        | ? [U_1601,U_1600] : ~ hBOOL(hAPP_P71593144l_bool(U_1603,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_1601),U_1600))) )
      & ( ! [U_1599,U_1598] : hBOOL(hAPP_P71593144l_bool(U_1603,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_1599),U_1598)))
        | ? [U_1597] : ~ hBOOL(hAPP_P71593144l_bool(U_1603,U_1597)) ) ),
    inference(variable_rename,[status(thm)],[f_321_1]) ).

fof(f_321_3,plain,
    ( ! [U_1605] :
        ( ! [U_1602] : hBOOL(hAPP_P71593144l_bool(U_1605,U_1602))
        | ? [U_1601,U_1600] : ~ hBOOL(hAPP_P71593144l_bool(U_1605,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_1601),U_1600))) )
    & ! [U_1604] :
        ( ! [U_1599,U_1598] : hBOOL(hAPP_P71593144l_bool(U_1604,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_1599),U_1598)))
        | ? [U_1597] : ~ hBOOL(hAPP_P71593144l_bool(U_1604,U_1597)) ) ),
    inference(miniscope,[status(thm)],[f_321_2]) ).

fof(f_321_4,plain,
    ( ! [U_1605] :
        ( ! [U_1602] : hBOOL(hAPP_P71593144l_bool(U_1605,U_1602))
        | ? [U_1601,U_1600] : ~ hBOOL(hAPP_P71593144l_bool(U_1605,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_1601),U_1600))) )
    & ! [U_1604] :
        ( ! [U_1599,U_1598] : hBOOL(hAPP_P71593144l_bool(U_1604,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_1599),U_1598)))
        | ~ hBOOL(hAPP_P71593144l_bool(U_1604,sK256(U_1604))) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK256]),skolemize(U_1597,sK256(U_1604))],[f_321_3]) ).

fof(f_321_5,plain,
    ( ! [U_1605] :
        ( ! [U_1602] : hBOOL(hAPP_P71593144l_bool(U_1605,U_1602))
        | ? [U_1600] : ~ hBOOL(hAPP_P71593144l_bool(U_1605,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,sK257(U_1605)),U_1600))) )
    & ! [U_1604] :
        ( ! [U_1599,U_1598] : hBOOL(hAPP_P71593144l_bool(U_1604,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_1599),U_1598)))
        | ~ hBOOL(hAPP_P71593144l_bool(U_1604,sK256(U_1604))) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK257]),skolemize(U_1601,sK257(U_1605))],[f_321_4]) ).

fof(f_321_6,plain,
    ( ! [U_1605] :
        ( ! [U_1602] : hBOOL(hAPP_P71593144l_bool(U_1605,U_1602))
        | ~ hBOOL(hAPP_P71593144l_bool(U_1605,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,sK257(U_1605)),sK258(U_1605)))) )
    & ! [U_1604] :
        ( ! [U_1599,U_1598] : hBOOL(hAPP_P71593144l_bool(U_1604,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_1599),U_1598)))
        | ~ hBOOL(hAPP_P71593144l_bool(U_1604,sK256(U_1604))) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK258]),skolemize(U_1600,sK258(U_1605))],[f_321_5]) ).

cnf(f_321_7,plain,
    ( hBOOL(hAPP_P71593144l_bool(U_1604,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_1599),U_1598)))
    | ~ hBOOL(hAPP_P71593144l_bool(U_1604,sK256(U_1604))) ),
    inference(clausify,[status(thm)],[f_321_6]) ).

cnf(f_321_8,plain,
    ( hBOOL(hAPP_P71593144l_bool(U_1605,U_1602))
    | ~ hBOOL(hAPP_P71593144l_bool(U_1605,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,sK257(U_1605)),sK258(U_1605)))) ),
    inference(clausify,[status(thm)],[f_321_6]) ).

fof(f_322_1,plain,
    ! [Pa] :
      ( ( ! [X1] : hBOOL(hAPP_P92196306r_bool(Pa,X1))
        | ? [A_1,B_2] : ~ hBOOL(hAPP_P92196306r_bool(Pa,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,A_1),B_2))) )
      & ( ! [A_1,B_2] : hBOOL(hAPP_P92196306r_bool(Pa,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,A_1),B_2)))
        | ? [X1] : ~ hBOOL(hAPP_P92196306r_bool(Pa,X1)) ) ),
    inference(fof_nnf,[status(thm)],[fact_180_split__paired__All]) ).

fof(f_322_2,plain,
    ! [U_1612] :
      ( ( ! [U_1611] : hBOOL(hAPP_P92196306r_bool(U_1612,U_1611))
        | ? [U_1610,U_1609] : ~ hBOOL(hAPP_P92196306r_bool(U_1612,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_1610),U_1609))) )
      & ( ! [U_1608,U_1607] : hBOOL(hAPP_P92196306r_bool(U_1612,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_1608),U_1607)))
        | ? [U_1606] : ~ hBOOL(hAPP_P92196306r_bool(U_1612,U_1606)) ) ),
    inference(variable_rename,[status(thm)],[f_322_1]) ).

fof(f_322_3,plain,
    ( ! [U_1614] :
        ( ! [U_1611] : hBOOL(hAPP_P92196306r_bool(U_1614,U_1611))
        | ? [U_1610,U_1609] : ~ hBOOL(hAPP_P92196306r_bool(U_1614,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_1610),U_1609))) )
    & ! [U_1613] :
        ( ! [U_1608,U_1607] : hBOOL(hAPP_P92196306r_bool(U_1613,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_1608),U_1607)))
        | ? [U_1606] : ~ hBOOL(hAPP_P92196306r_bool(U_1613,U_1606)) ) ),
    inference(miniscope,[status(thm)],[f_322_2]) ).

fof(f_322_4,plain,
    ( ! [U_1614] :
        ( ! [U_1611] : hBOOL(hAPP_P92196306r_bool(U_1614,U_1611))
        | ? [U_1610,U_1609] : ~ hBOOL(hAPP_P92196306r_bool(U_1614,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_1610),U_1609))) )
    & ! [U_1613] :
        ( ! [U_1608,U_1607] : hBOOL(hAPP_P92196306r_bool(U_1613,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_1608),U_1607)))
        | ~ hBOOL(hAPP_P92196306r_bool(U_1613,sK259(U_1613))) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK259]),skolemize(U_1606,sK259(U_1613))],[f_322_3]) ).

fof(f_322_5,plain,
    ( ! [U_1614] :
        ( ! [U_1611] : hBOOL(hAPP_P92196306r_bool(U_1614,U_1611))
        | ? [U_1609] : ~ hBOOL(hAPP_P92196306r_bool(U_1614,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,sK260(U_1614)),U_1609))) )
    & ! [U_1613] :
        ( ! [U_1608,U_1607] : hBOOL(hAPP_P92196306r_bool(U_1613,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_1608),U_1607)))
        | ~ hBOOL(hAPP_P92196306r_bool(U_1613,sK259(U_1613))) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK260]),skolemize(U_1610,sK260(U_1614))],[f_322_4]) ).

fof(f_322_6,plain,
    ( ! [U_1614] :
        ( ! [U_1611] : hBOOL(hAPP_P92196306r_bool(U_1614,U_1611))
        | ~ hBOOL(hAPP_P92196306r_bool(U_1614,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,sK260(U_1614)),sK261(U_1614)))) )
    & ! [U_1613] :
        ( ! [U_1608,U_1607] : hBOOL(hAPP_P92196306r_bool(U_1613,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_1608),U_1607)))
        | ~ hBOOL(hAPP_P92196306r_bool(U_1613,sK259(U_1613))) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK261]),skolemize(U_1609,sK261(U_1614))],[f_322_5]) ).

cnf(f_322_7,plain,
    ( hBOOL(hAPP_P92196306r_bool(U_1613,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_1608),U_1607)))
    | ~ hBOOL(hAPP_P92196306r_bool(U_1613,sK259(U_1613))) ),
    inference(clausify,[status(thm)],[f_322_6]) ).

cnf(f_322_8,plain,
    ( hBOOL(hAPP_P92196306r_bool(U_1614,U_1611))
    | ~ hBOOL(hAPP_P92196306r_bool(U_1614,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,sK260(U_1614)),sK261(U_1614)))) ),
    inference(clausify,[status(thm)],[f_322_6]) ).

fof(f_323_1,plain,
    ! [Pa] :
      ( ( ! [X1] : hBOOL(hAPP_P1907982426r_bool(Pa,X1))
        | ? [A_1,B_2] : ~ hBOOL(hAPP_P1907982426r_bool(Pa,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,A_1),B_2))) )
      & ( ! [A_1,B_2] : hBOOL(hAPP_P1907982426r_bool(Pa,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,A_1),B_2)))
        | ? [X1] : ~ hBOOL(hAPP_P1907982426r_bool(Pa,X1)) ) ),
    inference(fof_nnf,[status(thm)],[fact_181_split__paired__All]) ).

fof(f_323_2,plain,
    ! [U_1621] :
      ( ( ! [U_1620] : hBOOL(hAPP_P1907982426r_bool(U_1621,U_1620))
        | ? [U_1619,U_1618] : ~ hBOOL(hAPP_P1907982426r_bool(U_1621,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_1619),U_1618))) )
      & ( ! [U_1617,U_1616] : hBOOL(hAPP_P1907982426r_bool(U_1621,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_1617),U_1616)))
        | ? [U_1615] : ~ hBOOL(hAPP_P1907982426r_bool(U_1621,U_1615)) ) ),
    inference(variable_rename,[status(thm)],[f_323_1]) ).

fof(f_323_3,plain,
    ( ! [U_1623] :
        ( ! [U_1620] : hBOOL(hAPP_P1907982426r_bool(U_1623,U_1620))
        | ? [U_1619,U_1618] : ~ hBOOL(hAPP_P1907982426r_bool(U_1623,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_1619),U_1618))) )
    & ! [U_1622] :
        ( ! [U_1617,U_1616] : hBOOL(hAPP_P1907982426r_bool(U_1622,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_1617),U_1616)))
        | ? [U_1615] : ~ hBOOL(hAPP_P1907982426r_bool(U_1622,U_1615)) ) ),
    inference(miniscope,[status(thm)],[f_323_2]) ).

fof(f_323_4,plain,
    ( ! [U_1623] :
        ( ! [U_1620] : hBOOL(hAPP_P1907982426r_bool(U_1623,U_1620))
        | ? [U_1619,U_1618] : ~ hBOOL(hAPP_P1907982426r_bool(U_1623,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_1619),U_1618))) )
    & ! [U_1622] :
        ( ! [U_1617,U_1616] : hBOOL(hAPP_P1907982426r_bool(U_1622,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_1617),U_1616)))
        | ~ hBOOL(hAPP_P1907982426r_bool(U_1622,sK262(U_1622))) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK262]),skolemize(U_1615,sK262(U_1622))],[f_323_3]) ).

fof(f_323_5,plain,
    ( ! [U_1623] :
        ( ! [U_1620] : hBOOL(hAPP_P1907982426r_bool(U_1623,U_1620))
        | ? [U_1618] : ~ hBOOL(hAPP_P1907982426r_bool(U_1623,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,sK263(U_1623)),U_1618))) )
    & ! [U_1622] :
        ( ! [U_1617,U_1616] : hBOOL(hAPP_P1907982426r_bool(U_1622,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_1617),U_1616)))
        | ~ hBOOL(hAPP_P1907982426r_bool(U_1622,sK262(U_1622))) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK263]),skolemize(U_1619,sK263(U_1623))],[f_323_4]) ).

fof(f_323_6,plain,
    ( ! [U_1623] :
        ( ! [U_1620] : hBOOL(hAPP_P1907982426r_bool(U_1623,U_1620))
        | ~ hBOOL(hAPP_P1907982426r_bool(U_1623,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,sK263(U_1623)),sK264(U_1623)))) )
    & ! [U_1622] :
        ( ! [U_1617,U_1616] : hBOOL(hAPP_P1907982426r_bool(U_1622,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_1617),U_1616)))
        | ~ hBOOL(hAPP_P1907982426r_bool(U_1622,sK262(U_1622))) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK264]),skolemize(U_1618,sK264(U_1623))],[f_323_5]) ).

cnf(f_323_7,plain,
    ( hBOOL(hAPP_P1907982426r_bool(U_1622,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_1617),U_1616)))
    | ~ hBOOL(hAPP_P1907982426r_bool(U_1622,sK262(U_1622))) ),
    inference(clausify,[status(thm)],[f_323_6]) ).

cnf(f_323_8,plain,
    ( hBOOL(hAPP_P1907982426r_bool(U_1623,U_1620))
    | ~ hBOOL(hAPP_P1907982426r_bool(U_1623,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,sK263(U_1623)),sK264(U_1623)))) ),
    inference(clausify,[status(thm)],[f_323_6]) ).

fof(f_324_1,plain,
    ! [Pa] :
      ( ( ! [X1] : hBOOL(hAPP_P2118621157r_bool(Pa,X1))
        | ? [A_1,B_2] : ~ hBOOL(hAPP_P2118621157r_bool(Pa,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,A_1),B_2))) )
      & ( ! [A_1,B_2] : hBOOL(hAPP_P2118621157r_bool(Pa,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,A_1),B_2)))
        | ? [X1] : ~ hBOOL(hAPP_P2118621157r_bool(Pa,X1)) ) ),
    inference(fof_nnf,[status(thm)],[fact_182_split__paired__All]) ).

fof(f_324_2,plain,
    ! [U_1630] :
      ( ( ! [U_1629] : hBOOL(hAPP_P2118621157r_bool(U_1630,U_1629))
        | ? [U_1628,U_1627] : ~ hBOOL(hAPP_P2118621157r_bool(U_1630,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_1628),U_1627))) )
      & ( ! [U_1626,U_1625] : hBOOL(hAPP_P2118621157r_bool(U_1630,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_1626),U_1625)))
        | ? [U_1624] : ~ hBOOL(hAPP_P2118621157r_bool(U_1630,U_1624)) ) ),
    inference(variable_rename,[status(thm)],[f_324_1]) ).

fof(f_324_3,plain,
    ( ! [U_1632] :
        ( ! [U_1629] : hBOOL(hAPP_P2118621157r_bool(U_1632,U_1629))
        | ? [U_1628,U_1627] : ~ hBOOL(hAPP_P2118621157r_bool(U_1632,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_1628),U_1627))) )
    & ! [U_1631] :
        ( ! [U_1626,U_1625] : hBOOL(hAPP_P2118621157r_bool(U_1631,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_1626),U_1625)))
        | ? [U_1624] : ~ hBOOL(hAPP_P2118621157r_bool(U_1631,U_1624)) ) ),
    inference(miniscope,[status(thm)],[f_324_2]) ).

fof(f_324_4,plain,
    ( ! [U_1632] :
        ( ! [U_1629] : hBOOL(hAPP_P2118621157r_bool(U_1632,U_1629))
        | ? [U_1628,U_1627] : ~ hBOOL(hAPP_P2118621157r_bool(U_1632,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_1628),U_1627))) )
    & ! [U_1631] :
        ( ! [U_1626,U_1625] : hBOOL(hAPP_P2118621157r_bool(U_1631,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_1626),U_1625)))
        | ~ hBOOL(hAPP_P2118621157r_bool(U_1631,sK265(U_1631))) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK265]),skolemize(U_1624,sK265(U_1631))],[f_324_3]) ).

fof(f_324_5,plain,
    ( ! [U_1632] :
        ( ! [U_1629] : hBOOL(hAPP_P2118621157r_bool(U_1632,U_1629))
        | ? [U_1627] : ~ hBOOL(hAPP_P2118621157r_bool(U_1632,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,sK266(U_1632)),U_1627))) )
    & ! [U_1631] :
        ( ! [U_1626,U_1625] : hBOOL(hAPP_P2118621157r_bool(U_1631,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_1626),U_1625)))
        | ~ hBOOL(hAPP_P2118621157r_bool(U_1631,sK265(U_1631))) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK266]),skolemize(U_1628,sK266(U_1632))],[f_324_4]) ).

fof(f_324_6,plain,
    ( ! [U_1632] :
        ( ! [U_1629] : hBOOL(hAPP_P2118621157r_bool(U_1632,U_1629))
        | ~ hBOOL(hAPP_P2118621157r_bool(U_1632,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,sK266(U_1632)),sK267(U_1632)))) )
    & ! [U_1631] :
        ( ! [U_1626,U_1625] : hBOOL(hAPP_P2118621157r_bool(U_1631,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_1626),U_1625)))
        | ~ hBOOL(hAPP_P2118621157r_bool(U_1631,sK265(U_1631))) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK267]),skolemize(U_1627,sK267(U_1632))],[f_324_5]) ).

cnf(f_324_7,plain,
    ( hBOOL(hAPP_P2118621157r_bool(U_1631,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_1626),U_1625)))
    | ~ hBOOL(hAPP_P2118621157r_bool(U_1631,sK265(U_1631))) ),
    inference(clausify,[status(thm)],[f_324_6]) ).

cnf(f_324_8,plain,
    ( hBOOL(hAPP_P2118621157r_bool(U_1632,U_1629))
    | ~ hBOOL(hAPP_P2118621157r_bool(U_1632,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,sK266(U_1632)),sK267(U_1632)))) ),
    inference(clausify,[status(thm)],[f_324_6]) ).

fof(f_325_1,plain,
    ! [Pa] :
      ( ( ! [X1] : hBOOL(hAPP_P1680401186r_bool(Pa,X1))
        | ? [A_1,B_2] : ~ hBOOL(hAPP_P1680401186r_bool(Pa,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,A_1),B_2))) )
      & ( ! [A_1,B_2] : hBOOL(hAPP_P1680401186r_bool(Pa,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,A_1),B_2)))
        | ? [X1] : ~ hBOOL(hAPP_P1680401186r_bool(Pa,X1)) ) ),
    inference(fof_nnf,[status(thm)],[fact_183_split__paired__All]) ).

fof(f_325_2,plain,
    ! [U_1639] :
      ( ( ! [U_1638] : hBOOL(hAPP_P1680401186r_bool(U_1639,U_1638))
        | ? [U_1637,U_1636] : ~ hBOOL(hAPP_P1680401186r_bool(U_1639,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_1637),U_1636))) )
      & ( ! [U_1635,U_1634] : hBOOL(hAPP_P1680401186r_bool(U_1639,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_1635),U_1634)))
        | ? [U_1633] : ~ hBOOL(hAPP_P1680401186r_bool(U_1639,U_1633)) ) ),
    inference(variable_rename,[status(thm)],[f_325_1]) ).

fof(f_325_3,plain,
    ( ! [U_1641] :
        ( ! [U_1638] : hBOOL(hAPP_P1680401186r_bool(U_1641,U_1638))
        | ? [U_1637,U_1636] : ~ hBOOL(hAPP_P1680401186r_bool(U_1641,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_1637),U_1636))) )
    & ! [U_1640] :
        ( ! [U_1635,U_1634] : hBOOL(hAPP_P1680401186r_bool(U_1640,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_1635),U_1634)))
        | ? [U_1633] : ~ hBOOL(hAPP_P1680401186r_bool(U_1640,U_1633)) ) ),
    inference(miniscope,[status(thm)],[f_325_2]) ).

fof(f_325_4,plain,
    ( ! [U_1641] :
        ( ! [U_1638] : hBOOL(hAPP_P1680401186r_bool(U_1641,U_1638))
        | ? [U_1637,U_1636] : ~ hBOOL(hAPP_P1680401186r_bool(U_1641,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_1637),U_1636))) )
    & ! [U_1640] :
        ( ! [U_1635,U_1634] : hBOOL(hAPP_P1680401186r_bool(U_1640,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_1635),U_1634)))
        | ~ hBOOL(hAPP_P1680401186r_bool(U_1640,sK268(U_1640))) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK268]),skolemize(U_1633,sK268(U_1640))],[f_325_3]) ).

fof(f_325_5,plain,
    ( ! [U_1641] :
        ( ! [U_1638] : hBOOL(hAPP_P1680401186r_bool(U_1641,U_1638))
        | ? [U_1636] : ~ hBOOL(hAPP_P1680401186r_bool(U_1641,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,sK269(U_1641)),U_1636))) )
    & ! [U_1640] :
        ( ! [U_1635,U_1634] : hBOOL(hAPP_P1680401186r_bool(U_1640,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_1635),U_1634)))
        | ~ hBOOL(hAPP_P1680401186r_bool(U_1640,sK268(U_1640))) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK269]),skolemize(U_1637,sK269(U_1641))],[f_325_4]) ).

fof(f_325_6,plain,
    ( ! [U_1641] :
        ( ! [U_1638] : hBOOL(hAPP_P1680401186r_bool(U_1641,U_1638))
        | ~ hBOOL(hAPP_P1680401186r_bool(U_1641,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,sK269(U_1641)),sK270(U_1641)))) )
    & ! [U_1640] :
        ( ! [U_1635,U_1634] : hBOOL(hAPP_P1680401186r_bool(U_1640,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_1635),U_1634)))
        | ~ hBOOL(hAPP_P1680401186r_bool(U_1640,sK268(U_1640))) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK270]),skolemize(U_1636,sK270(U_1641))],[f_325_5]) ).

cnf(f_325_7,plain,
    ( hBOOL(hAPP_P1680401186r_bool(U_1640,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_1635),U_1634)))
    | ~ hBOOL(hAPP_P1680401186r_bool(U_1640,sK268(U_1640))) ),
    inference(clausify,[status(thm)],[f_325_6]) ).

cnf(f_325_8,plain,
    ( hBOOL(hAPP_P1680401186r_bool(U_1641,U_1638))
    | ~ hBOOL(hAPP_P1680401186r_bool(U_1641,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,sK269(U_1641)),sK270(U_1641)))) ),
    inference(clausify,[status(thm)],[f_325_6]) ).

fof(f_326_1,plain,
    ! [Pa] :
      ( ( ! [X1] : hBOOL(hAPP_P659547099r_bool(Pa,X1))
        | ? [A_1,B_2] : ~ hBOOL(hAPP_P659547099r_bool(Pa,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,A_1),B_2))) )
      & ( ! [A_1,B_2] : hBOOL(hAPP_P659547099r_bool(Pa,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,A_1),B_2)))
        | ? [X1] : ~ hBOOL(hAPP_P659547099r_bool(Pa,X1)) ) ),
    inference(fof_nnf,[status(thm)],[fact_184_split__paired__All]) ).

fof(f_326_2,plain,
    ! [U_1648] :
      ( ( ! [U_1647] : hBOOL(hAPP_P659547099r_bool(U_1648,U_1647))
        | ? [U_1646,U_1645] : ~ hBOOL(hAPP_P659547099r_bool(U_1648,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_1646),U_1645))) )
      & ( ! [U_1644,U_1643] : hBOOL(hAPP_P659547099r_bool(U_1648,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_1644),U_1643)))
        | ? [U_1642] : ~ hBOOL(hAPP_P659547099r_bool(U_1648,U_1642)) ) ),
    inference(variable_rename,[status(thm)],[f_326_1]) ).

fof(f_326_3,plain,
    ( ! [U_1650] :
        ( ! [U_1647] : hBOOL(hAPP_P659547099r_bool(U_1650,U_1647))
        | ? [U_1646,U_1645] : ~ hBOOL(hAPP_P659547099r_bool(U_1650,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_1646),U_1645))) )
    & ! [U_1649] :
        ( ! [U_1644,U_1643] : hBOOL(hAPP_P659547099r_bool(U_1649,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_1644),U_1643)))
        | ? [U_1642] : ~ hBOOL(hAPP_P659547099r_bool(U_1649,U_1642)) ) ),
    inference(miniscope,[status(thm)],[f_326_2]) ).

fof(f_326_4,plain,
    ( ! [U_1650] :
        ( ! [U_1647] : hBOOL(hAPP_P659547099r_bool(U_1650,U_1647))
        | ? [U_1646,U_1645] : ~ hBOOL(hAPP_P659547099r_bool(U_1650,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_1646),U_1645))) )
    & ! [U_1649] :
        ( ! [U_1644,U_1643] : hBOOL(hAPP_P659547099r_bool(U_1649,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_1644),U_1643)))
        | ~ hBOOL(hAPP_P659547099r_bool(U_1649,sK271(U_1649))) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK271]),skolemize(U_1642,sK271(U_1649))],[f_326_3]) ).

fof(f_326_5,plain,
    ( ! [U_1650] :
        ( ! [U_1647] : hBOOL(hAPP_P659547099r_bool(U_1650,U_1647))
        | ? [U_1645] : ~ hBOOL(hAPP_P659547099r_bool(U_1650,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,sK272(U_1650)),U_1645))) )
    & ! [U_1649] :
        ( ! [U_1644,U_1643] : hBOOL(hAPP_P659547099r_bool(U_1649,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_1644),U_1643)))
        | ~ hBOOL(hAPP_P659547099r_bool(U_1649,sK271(U_1649))) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK272]),skolemize(U_1646,sK272(U_1650))],[f_326_4]) ).

fof(f_326_6,plain,
    ( ! [U_1650] :
        ( ! [U_1647] : hBOOL(hAPP_P659547099r_bool(U_1650,U_1647))
        | ~ hBOOL(hAPP_P659547099r_bool(U_1650,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,sK272(U_1650)),sK273(U_1650)))) )
    & ! [U_1649] :
        ( ! [U_1644,U_1643] : hBOOL(hAPP_P659547099r_bool(U_1649,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_1644),U_1643)))
        | ~ hBOOL(hAPP_P659547099r_bool(U_1649,sK271(U_1649))) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK273]),skolemize(U_1645,sK273(U_1650))],[f_326_5]) ).

cnf(f_326_7,plain,
    ( hBOOL(hAPP_P659547099r_bool(U_1649,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_1644),U_1643)))
    | ~ hBOOL(hAPP_P659547099r_bool(U_1649,sK271(U_1649))) ),
    inference(clausify,[status(thm)],[f_326_6]) ).

cnf(f_326_8,plain,
    ( hBOOL(hAPP_P659547099r_bool(U_1650,U_1647))
    | ~ hBOOL(hAPP_P659547099r_bool(U_1650,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,sK272(U_1650)),sK273(U_1650)))) ),
    inference(clausify,[status(thm)],[f_326_6]) ).

fof(f_327_1,plain,
    ! [Pa] :
      ( ( ! [X1] : hBOOL(hAPP_P828904212r_bool(Pa,X1))
        | ? [A_1,B_2] : ~ hBOOL(hAPP_P828904212r_bool(Pa,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,A_1),B_2))) )
      & ( ! [A_1,B_2] : hBOOL(hAPP_P828904212r_bool(Pa,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,A_1),B_2)))
        | ? [X1] : ~ hBOOL(hAPP_P828904212r_bool(Pa,X1)) ) ),
    inference(fof_nnf,[status(thm)],[fact_185_split__paired__All]) ).

fof(f_327_2,plain,
    ! [U_1657] :
      ( ( ! [U_1656] : hBOOL(hAPP_P828904212r_bool(U_1657,U_1656))
        | ? [U_1655,U_1654] : ~ hBOOL(hAPP_P828904212r_bool(U_1657,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_1655),U_1654))) )
      & ( ! [U_1653,U_1652] : hBOOL(hAPP_P828904212r_bool(U_1657,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_1653),U_1652)))
        | ? [U_1651] : ~ hBOOL(hAPP_P828904212r_bool(U_1657,U_1651)) ) ),
    inference(variable_rename,[status(thm)],[f_327_1]) ).

fof(f_327_3,plain,
    ( ! [U_1659] :
        ( ! [U_1656] : hBOOL(hAPP_P828904212r_bool(U_1659,U_1656))
        | ? [U_1655,U_1654] : ~ hBOOL(hAPP_P828904212r_bool(U_1659,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_1655),U_1654))) )
    & ! [U_1658] :
        ( ! [U_1653,U_1652] : hBOOL(hAPP_P828904212r_bool(U_1658,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_1653),U_1652)))
        | ? [U_1651] : ~ hBOOL(hAPP_P828904212r_bool(U_1658,U_1651)) ) ),
    inference(miniscope,[status(thm)],[f_327_2]) ).

fof(f_327_4,plain,
    ( ! [U_1659] :
        ( ! [U_1656] : hBOOL(hAPP_P828904212r_bool(U_1659,U_1656))
        | ? [U_1655,U_1654] : ~ hBOOL(hAPP_P828904212r_bool(U_1659,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_1655),U_1654))) )
    & ! [U_1658] :
        ( ! [U_1653,U_1652] : hBOOL(hAPP_P828904212r_bool(U_1658,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_1653),U_1652)))
        | ~ hBOOL(hAPP_P828904212r_bool(U_1658,sK274(U_1658))) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK274]),skolemize(U_1651,sK274(U_1658))],[f_327_3]) ).

fof(f_327_5,plain,
    ( ! [U_1659] :
        ( ! [U_1656] : hBOOL(hAPP_P828904212r_bool(U_1659,U_1656))
        | ? [U_1654] : ~ hBOOL(hAPP_P828904212r_bool(U_1659,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,sK275(U_1659)),U_1654))) )
    & ! [U_1658] :
        ( ! [U_1653,U_1652] : hBOOL(hAPP_P828904212r_bool(U_1658,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_1653),U_1652)))
        | ~ hBOOL(hAPP_P828904212r_bool(U_1658,sK274(U_1658))) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK275]),skolemize(U_1655,sK275(U_1659))],[f_327_4]) ).

fof(f_327_6,plain,
    ( ! [U_1659] :
        ( ! [U_1656] : hBOOL(hAPP_P828904212r_bool(U_1659,U_1656))
        | ~ hBOOL(hAPP_P828904212r_bool(U_1659,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,sK275(U_1659)),sK276(U_1659)))) )
    & ! [U_1658] :
        ( ! [U_1653,U_1652] : hBOOL(hAPP_P828904212r_bool(U_1658,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_1653),U_1652)))
        | ~ hBOOL(hAPP_P828904212r_bool(U_1658,sK274(U_1658))) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK276]),skolemize(U_1654,sK276(U_1659))],[f_327_5]) ).

cnf(f_327_7,plain,
    ( hBOOL(hAPP_P828904212r_bool(U_1658,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_1653),U_1652)))
    | ~ hBOOL(hAPP_P828904212r_bool(U_1658,sK274(U_1658))) ),
    inference(clausify,[status(thm)],[f_327_6]) ).

cnf(f_327_8,plain,
    ( hBOOL(hAPP_P828904212r_bool(U_1659,U_1656))
    | ~ hBOOL(hAPP_P828904212r_bool(U_1659,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,sK275(U_1659)),sK276(U_1659)))) ),
    inference(clausify,[status(thm)],[f_327_6]) ).

fof(f_328_1,plain,
    ! [Pa] :
      ( ( ! [X1] : hBOOL(hAPP_P2014166431r_bool(Pa,X1))
        | ? [A_1,B_2] : ~ hBOOL(hAPP_P2014166431r_bool(Pa,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,A_1),B_2))) )
      & ( ! [A_1,B_2] : hBOOL(hAPP_P2014166431r_bool(Pa,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,A_1),B_2)))
        | ? [X1] : ~ hBOOL(hAPP_P2014166431r_bool(Pa,X1)) ) ),
    inference(fof_nnf,[status(thm)],[fact_186_split__paired__All]) ).

fof(f_328_2,plain,
    ! [U_1666] :
      ( ( ! [U_1665] : hBOOL(hAPP_P2014166431r_bool(U_1666,U_1665))
        | ? [U_1664,U_1663] : ~ hBOOL(hAPP_P2014166431r_bool(U_1666,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_1664),U_1663))) )
      & ( ! [U_1662,U_1661] : hBOOL(hAPP_P2014166431r_bool(U_1666,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_1662),U_1661)))
        | ? [U_1660] : ~ hBOOL(hAPP_P2014166431r_bool(U_1666,U_1660)) ) ),
    inference(variable_rename,[status(thm)],[f_328_1]) ).

fof(f_328_3,plain,
    ( ! [U_1668] :
        ( ! [U_1665] : hBOOL(hAPP_P2014166431r_bool(U_1668,U_1665))
        | ? [U_1664,U_1663] : ~ hBOOL(hAPP_P2014166431r_bool(U_1668,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_1664),U_1663))) )
    & ! [U_1667] :
        ( ! [U_1662,U_1661] : hBOOL(hAPP_P2014166431r_bool(U_1667,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_1662),U_1661)))
        | ? [U_1660] : ~ hBOOL(hAPP_P2014166431r_bool(U_1667,U_1660)) ) ),
    inference(miniscope,[status(thm)],[f_328_2]) ).

fof(f_328_4,plain,
    ( ! [U_1668] :
        ( ! [U_1665] : hBOOL(hAPP_P2014166431r_bool(U_1668,U_1665))
        | ? [U_1664,U_1663] : ~ hBOOL(hAPP_P2014166431r_bool(U_1668,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_1664),U_1663))) )
    & ! [U_1667] :
        ( ! [U_1662,U_1661] : hBOOL(hAPP_P2014166431r_bool(U_1667,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_1662),U_1661)))
        | ~ hBOOL(hAPP_P2014166431r_bool(U_1667,sK277(U_1667))) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK277]),skolemize(U_1660,sK277(U_1667))],[f_328_3]) ).

fof(f_328_5,plain,
    ( ! [U_1668] :
        ( ! [U_1665] : hBOOL(hAPP_P2014166431r_bool(U_1668,U_1665))
        | ? [U_1663] : ~ hBOOL(hAPP_P2014166431r_bool(U_1668,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,sK278(U_1668)),U_1663))) )
    & ! [U_1667] :
        ( ! [U_1662,U_1661] : hBOOL(hAPP_P2014166431r_bool(U_1667,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_1662),U_1661)))
        | ~ hBOOL(hAPP_P2014166431r_bool(U_1667,sK277(U_1667))) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK278]),skolemize(U_1664,sK278(U_1668))],[f_328_4]) ).

fof(f_328_6,plain,
    ( ! [U_1668] :
        ( ! [U_1665] : hBOOL(hAPP_P2014166431r_bool(U_1668,U_1665))
        | ~ hBOOL(hAPP_P2014166431r_bool(U_1668,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,sK278(U_1668)),sK279(U_1668)))) )
    & ! [U_1667] :
        ( ! [U_1662,U_1661] : hBOOL(hAPP_P2014166431r_bool(U_1667,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_1662),U_1661)))
        | ~ hBOOL(hAPP_P2014166431r_bool(U_1667,sK277(U_1667))) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK279]),skolemize(U_1663,sK279(U_1668))],[f_328_5]) ).

cnf(f_328_7,plain,
    ( hBOOL(hAPP_P2014166431r_bool(U_1667,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_1662),U_1661)))
    | ~ hBOOL(hAPP_P2014166431r_bool(U_1667,sK277(U_1667))) ),
    inference(clausify,[status(thm)],[f_328_6]) ).

cnf(f_328_8,plain,
    ( hBOOL(hAPP_P2014166431r_bool(U_1668,U_1665))
    | ~ hBOOL(hAPP_P2014166431r_bool(U_1668,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,sK278(U_1668)),sK279(U_1668)))) ),
    inference(clausify,[status(thm)],[f_328_6]) ).

fof(f_329_1,plain,
    ! [F_1,B,A,X_1] :
      ( ( hAPP_l207779698on_val(fun_up1149430426on_val(F_1,A,B),X_1) = hAPP_l207779698on_val(F_1,X_1)
        | X_1 = A )
      & ( hAPP_l207779698on_val(fun_up1149430426on_val(F_1,A,B),X_1) = B
        | X_1 != A ) ),
    inference(fof_nnf,[status(thm)],[fact_187_fun__upd__def]) ).

fof(f_329_2,plain,
    ! [U_1672,U_1671,U_1670,U_1669] :
      ( ( hAPP_l207779698on_val(fun_up1149430426on_val(U_1672,U_1670,U_1671),U_1669) = hAPP_l207779698on_val(U_1672,U_1669)
        | U_1669 = U_1670 )
      & ( hAPP_l207779698on_val(fun_up1149430426on_val(U_1672,U_1670,U_1671),U_1669) = U_1671
        | U_1669 != U_1670 ) ),
    inference(variable_rename,[status(thm)],[f_329_1]) ).

fof(f_329_3,plain,
    ( ! [U_1680,U_1678,U_1676,U_1674] :
        ( hAPP_l207779698on_val(fun_up1149430426on_val(U_1680,U_1676,U_1678),U_1674) = hAPP_l207779698on_val(U_1680,U_1674)
        | U_1674 = U_1676 )
    & ! [U_1679,U_1677,U_1675,U_1673] :
        ( hAPP_l207779698on_val(fun_up1149430426on_val(U_1679,U_1675,U_1677),U_1673) = U_1677
        | U_1673 != U_1675 ) ),
    inference(miniscope,[status(thm)],[f_329_2]) ).

cnf(f_329_4,plain,
    ( hAPP_l207779698on_val(fun_up1149430426on_val(U_1679,U_1675,U_1677),U_1673) = U_1677
    | U_1673 != U_1675 ),
    inference(clausify,[status(thm)],[f_329_3]) ).

cnf(f_329_5,plain,
    ( hAPP_l207779698on_val(fun_up1149430426on_val(U_1680,U_1676,U_1678),U_1674) = hAPP_l207779698on_val(U_1680,U_1674)
    | U_1674 = U_1676 ),
    inference(clausify,[status(thm)],[f_329_3]) ).

fof(f_330_1,plain,
    ! [F_1,B,A,X_1] :
      ( ( hAPP_l512744617ion_ty(fun_up424764369ion_ty(F_1,A,B),X_1) = hAPP_l512744617ion_ty(F_1,X_1)
        | X_1 = A )
      & ( hAPP_l512744617ion_ty(fun_up424764369ion_ty(F_1,A,B),X_1) = B
        | X_1 != A ) ),
    inference(fof_nnf,[status(thm)],[fact_188_fun__upd__def]) ).

fof(f_330_2,plain,
    ! [U_1684,U_1683,U_1682,U_1681] :
      ( ( hAPP_l512744617ion_ty(fun_up424764369ion_ty(U_1684,U_1682,U_1683),U_1681) = hAPP_l512744617ion_ty(U_1684,U_1681)
        | U_1681 = U_1682 )
      & ( hAPP_l512744617ion_ty(fun_up424764369ion_ty(U_1684,U_1682,U_1683),U_1681) = U_1683
        | U_1681 != U_1682 ) ),
    inference(variable_rename,[status(thm)],[f_330_1]) ).

fof(f_330_3,plain,
    ( ! [U_1692,U_1690,U_1688,U_1686] :
        ( hAPP_l512744617ion_ty(fun_up424764369ion_ty(U_1692,U_1688,U_1690),U_1686) = hAPP_l512744617ion_ty(U_1692,U_1686)
        | U_1686 = U_1688 )
    & ! [U_1691,U_1689,U_1687,U_1685] :
        ( hAPP_l512744617ion_ty(fun_up424764369ion_ty(U_1691,U_1687,U_1689),U_1685) = U_1689
        | U_1685 != U_1687 ) ),
    inference(miniscope,[status(thm)],[f_330_2]) ).

cnf(f_330_4,plain,
    ( hAPP_l512744617ion_ty(fun_up424764369ion_ty(U_1691,U_1687,U_1689),U_1685) = U_1689
    | U_1685 != U_1687 ),
    inference(clausify,[status(thm)],[f_330_3]) ).

cnf(f_330_5,plain,
    ( hAPP_l512744617ion_ty(fun_up424764369ion_ty(U_1692,U_1688,U_1690),U_1686) = hAPP_l512744617ion_ty(U_1692,U_1686)
    | U_1686 = U_1688 ),
    inference(clausify,[status(thm)],[f_330_3]) ).

fof(f_331_1,plain,
    ! [F_1,B,A,X_1] :
      ( ( hAPP_n546249108on_val(fun_up2041264236on_val(F_1,A,B),X_1) = hAPP_n546249108on_val(F_1,X_1)
        | X_1 = A )
      & ( hAPP_n546249108on_val(fun_up2041264236on_val(F_1,A,B),X_1) = B
        | X_1 != A ) ),
    inference(fof_nnf,[status(thm)],[fact_189_fun__upd__def]) ).

fof(f_331_2,plain,
    ! [U_1696,U_1695,U_1694,U_1693] :
      ( ( hAPP_n546249108on_val(fun_up2041264236on_val(U_1696,U_1694,U_1695),U_1693) = hAPP_n546249108on_val(U_1696,U_1693)
        | U_1693 = U_1694 )
      & ( hAPP_n546249108on_val(fun_up2041264236on_val(U_1696,U_1694,U_1695),U_1693) = U_1695
        | U_1693 != U_1694 ) ),
    inference(variable_rename,[status(thm)],[f_331_1]) ).

fof(f_331_3,plain,
    ( ! [U_1704,U_1702,U_1700,U_1698] :
        ( hAPP_n546249108on_val(fun_up2041264236on_val(U_1704,U_1700,U_1702),U_1698) = hAPP_n546249108on_val(U_1704,U_1698)
        | U_1698 = U_1700 )
    & ! [U_1703,U_1701,U_1699,U_1697] :
        ( hAPP_n546249108on_val(fun_up2041264236on_val(U_1703,U_1699,U_1701),U_1697) = U_1701
        | U_1697 != U_1699 ) ),
    inference(miniscope,[status(thm)],[f_331_2]) ).

cnf(f_331_4,plain,
    ( hAPP_n546249108on_val(fun_up2041264236on_val(U_1703,U_1699,U_1701),U_1697) = U_1701
    | U_1697 != U_1699 ),
    inference(clausify,[status(thm)],[f_331_3]) ).

cnf(f_331_5,plain,
    ( hAPP_n546249108on_val(fun_up2041264236on_val(U_1704,U_1700,U_1702),U_1698) = hAPP_n546249108on_val(U_1704,U_1698)
    | U_1698 = U_1700 ),
    inference(clausify,[status(thm)],[f_331_3]) ).

fof(f_332_1,plain,
    ! [F_1,B,A,X_1] :
      ( ( hAPP_P2094403585on_val(fun_up204312361on_val(F_1,A,B),X_1) = hAPP_P2094403585on_val(F_1,X_1)
        | X_1 = A )
      & ( hAPP_P2094403585on_val(fun_up204312361on_val(F_1,A,B),X_1) = B
        | X_1 != A ) ),
    inference(fof_nnf,[status(thm)],[fact_190_fun__upd__def]) ).

fof(f_332_2,plain,
    ! [U_1708,U_1707,U_1706,U_1705] :
      ( ( hAPP_P2094403585on_val(fun_up204312361on_val(U_1708,U_1706,U_1707),U_1705) = hAPP_P2094403585on_val(U_1708,U_1705)
        | U_1705 = U_1706 )
      & ( hAPP_P2094403585on_val(fun_up204312361on_val(U_1708,U_1706,U_1707),U_1705) = U_1707
        | U_1705 != U_1706 ) ),
    inference(variable_rename,[status(thm)],[f_332_1]) ).

fof(f_332_3,plain,
    ( ! [U_1716,U_1714,U_1712,U_1710] :
        ( hAPP_P2094403585on_val(fun_up204312361on_val(U_1716,U_1712,U_1714),U_1710) = hAPP_P2094403585on_val(U_1716,U_1710)
        | U_1710 = U_1712 )
    & ! [U_1715,U_1713,U_1711,U_1709] :
        ( hAPP_P2094403585on_val(fun_up204312361on_val(U_1715,U_1711,U_1713),U_1709) = U_1713
        | U_1709 != U_1711 ) ),
    inference(miniscope,[status(thm)],[f_332_2]) ).

cnf(f_332_4,plain,
    ( hAPP_P2094403585on_val(fun_up204312361on_val(U_1715,U_1711,U_1713),U_1709) = U_1713
    | U_1709 != U_1711 ),
    inference(clausify,[status(thm)],[f_332_3]) ).

cnf(f_332_5,plain,
    ( hAPP_P2094403585on_val(fun_up204312361on_val(U_1716,U_1712,U_1714),U_1710) = hAPP_P2094403585on_val(U_1716,U_1710)
    | U_1710 = U_1712 ),
    inference(clausify,[status(thm)],[f_332_3]) ).

fof(f_333_1,plain,
    ! [F_1,X_2,Y_2] :
      ( fun_up1149430426on_val(F_1,X_2,Y_2) = F_1
      | hAPP_l207779698on_val(F_1,X_2) != Y_2 ),
    inference(fof_nnf,[status(thm)],[fact_191_fun__upd__idem]) ).

fof(f_333_2,plain,
    ! [U_1719,U_1718,U_1717] :
      ( fun_up1149430426on_val(U_1719,U_1718,U_1717) = U_1719
      | hAPP_l207779698on_val(U_1719,U_1718) != U_1717 ),
    inference(variable_rename,[status(thm)],[f_333_1]) ).

cnf(f_333_3,plain,
    ( fun_up1149430426on_val(U_1719,U_1718,U_1717) = U_1719
    | hAPP_l207779698on_val(U_1719,U_1718) != U_1717 ),
    inference(clausify,[status(thm)],[f_333_2]) ).

fof(f_334_1,plain,
    ! [F_1,X_2,Y_2] :
      ( fun_up424764369ion_ty(F_1,X_2,Y_2) = F_1
      | hAPP_l512744617ion_ty(F_1,X_2) != Y_2 ),
    inference(fof_nnf,[status(thm)],[fact_192_fun__upd__idem]) ).

fof(f_334_2,plain,
    ! [U_1722,U_1721,U_1720] :
      ( fun_up424764369ion_ty(U_1722,U_1721,U_1720) = U_1722
      | hAPP_l512744617ion_ty(U_1722,U_1721) != U_1720 ),
    inference(variable_rename,[status(thm)],[f_334_1]) ).

cnf(f_334_3,plain,
    ( fun_up424764369ion_ty(U_1722,U_1721,U_1720) = U_1722
    | hAPP_l512744617ion_ty(U_1722,U_1721) != U_1720 ),
    inference(clausify,[status(thm)],[f_334_2]) ).

fof(f_335_1,plain,
    ! [F_1,X_2,Y_2] :
      ( fun_up2041264236on_val(F_1,X_2,Y_2) = F_1
      | hAPP_n546249108on_val(F_1,X_2) != Y_2 ),
    inference(fof_nnf,[status(thm)],[fact_193_fun__upd__idem]) ).

fof(f_335_2,plain,
    ! [U_1725,U_1724,U_1723] :
      ( fun_up2041264236on_val(U_1725,U_1724,U_1723) = U_1725
      | hAPP_n546249108on_val(U_1725,U_1724) != U_1723 ),
    inference(variable_rename,[status(thm)],[f_335_1]) ).

cnf(f_335_3,plain,
    ( fun_up2041264236on_val(U_1725,U_1724,U_1723) = U_1725
    | hAPP_n546249108on_val(U_1725,U_1724) != U_1723 ),
    inference(clausify,[status(thm)],[f_335_2]) ).

fof(f_336_1,plain,
    ! [F_1,X_2,Y_2] :
      ( fun_up204312361on_val(F_1,X_2,Y_2) = F_1
      | hAPP_P2094403585on_val(F_1,X_2) != Y_2 ),
    inference(fof_nnf,[status(thm)],[fact_194_fun__upd__idem]) ).

fof(f_336_2,plain,
    ! [U_1728,U_1727,U_1726] :
      ( fun_up204312361on_val(U_1728,U_1727,U_1726) = U_1728
      | hAPP_P2094403585on_val(U_1728,U_1727) != U_1726 ),
    inference(variable_rename,[status(thm)],[f_336_1]) ).

cnf(f_336_3,plain,
    ( fun_up204312361on_val(U_1728,U_1727,U_1726) = U_1728
    | hAPP_P2094403585on_val(U_1728,U_1727) != U_1726 ),
    inference(clausify,[status(thm)],[f_336_2]) ).

fof(f_337_1,plain,
    ! [F_1,Y_2,Z_1,X_2] :
      ( hAPP_l207779698on_val(fun_up1149430426on_val(F_1,X_2,Y_2),Z_1) = hAPP_l207779698on_val(F_1,Z_1)
      | Z_1 = X_2 ),
    inference(fof_nnf,[status(thm)],[fact_195_fun__upd__other]) ).

fof(f_337_2,plain,
    ! [U_1732,U_1731,U_1730,U_1729] :
      ( hAPP_l207779698on_val(fun_up1149430426on_val(U_1732,U_1729,U_1731),U_1730) = hAPP_l207779698on_val(U_1732,U_1730)
      | U_1730 = U_1729 ),
    inference(variable_rename,[status(thm)],[f_337_1]) ).

cnf(f_337_3,plain,
    ( hAPP_l207779698on_val(fun_up1149430426on_val(U_1732,U_1729,U_1731),U_1730) = hAPP_l207779698on_val(U_1732,U_1730)
    | U_1730 = U_1729 ),
    inference(clausify,[status(thm)],[f_337_2]) ).

fof(f_338_1,plain,
    ! [F_1,Y_2,Z_1,X_2] :
      ( hAPP_l512744617ion_ty(fun_up424764369ion_ty(F_1,X_2,Y_2),Z_1) = hAPP_l512744617ion_ty(F_1,Z_1)
      | Z_1 = X_2 ),
    inference(fof_nnf,[status(thm)],[fact_196_fun__upd__other]) ).

fof(f_338_2,plain,
    ! [U_1736,U_1735,U_1734,U_1733] :
      ( hAPP_l512744617ion_ty(fun_up424764369ion_ty(U_1736,U_1733,U_1735),U_1734) = hAPP_l512744617ion_ty(U_1736,U_1734)
      | U_1734 = U_1733 ),
    inference(variable_rename,[status(thm)],[f_338_1]) ).

cnf(f_338_3,plain,
    ( hAPP_l512744617ion_ty(fun_up424764369ion_ty(U_1736,U_1733,U_1735),U_1734) = hAPP_l512744617ion_ty(U_1736,U_1734)
    | U_1734 = U_1733 ),
    inference(clausify,[status(thm)],[f_338_2]) ).

fof(f_339_1,plain,
    ! [F_1,Y_2,Z_1,X_2] :
      ( hAPP_n546249108on_val(fun_up2041264236on_val(F_1,X_2,Y_2),Z_1) = hAPP_n546249108on_val(F_1,Z_1)
      | Z_1 = X_2 ),
    inference(fof_nnf,[status(thm)],[fact_197_fun__upd__other]) ).

fof(f_339_2,plain,
    ! [U_1740,U_1739,U_1738,U_1737] :
      ( hAPP_n546249108on_val(fun_up2041264236on_val(U_1740,U_1737,U_1739),U_1738) = hAPP_n546249108on_val(U_1740,U_1738)
      | U_1738 = U_1737 ),
    inference(variable_rename,[status(thm)],[f_339_1]) ).

cnf(f_339_3,plain,
    ( hAPP_n546249108on_val(fun_up2041264236on_val(U_1740,U_1737,U_1739),U_1738) = hAPP_n546249108on_val(U_1740,U_1738)
    | U_1738 = U_1737 ),
    inference(clausify,[status(thm)],[f_339_2]) ).

fof(f_340_1,plain,
    ! [F_1,Y_2,Z_1,X_2] :
      ( hAPP_P2094403585on_val(fun_up204312361on_val(F_1,X_2,Y_2),Z_1) = hAPP_P2094403585on_val(F_1,Z_1)
      | Z_1 = X_2 ),
    inference(fof_nnf,[status(thm)],[fact_198_fun__upd__other]) ).

fof(f_340_2,plain,
    ! [U_1744,U_1743,U_1742,U_1741] :
      ( hAPP_P2094403585on_val(fun_up204312361on_val(U_1744,U_1741,U_1743),U_1742) = hAPP_P2094403585on_val(U_1744,U_1742)
      | U_1742 = U_1741 ),
    inference(variable_rename,[status(thm)],[f_340_1]) ).

cnf(f_340_3,plain,
    ( hAPP_P2094403585on_val(fun_up204312361on_val(U_1744,U_1741,U_1743),U_1742) = hAPP_P2094403585on_val(U_1744,U_1742)
    | U_1742 = U_1741 ),
    inference(clausify,[status(thm)],[f_340_2]) ).

fof(f_341_1,plain,
    ! [M_1,B,D_1,A,C_2] :
      ( fun_up1149430426on_val(fun_up1149430426on_val(M_1,A,B),C_2,D_1) = fun_up1149430426on_val(fun_up1149430426on_val(M_1,C_2,D_1),A,B)
      | A = C_2 ),
    inference(fof_nnf,[status(thm)],[fact_199_fun__upd__twist]) ).

fof(f_341_2,plain,
    ! [U_1749,U_1748,U_1747,U_1746,U_1745] :
      ( fun_up1149430426on_val(fun_up1149430426on_val(U_1749,U_1746,U_1748),U_1745,U_1747) = fun_up1149430426on_val(fun_up1149430426on_val(U_1749,U_1745,U_1747),U_1746,U_1748)
      | U_1746 = U_1745 ),
    inference(variable_rename,[status(thm)],[f_341_1]) ).

cnf(f_341_3,plain,
    ( fun_up1149430426on_val(fun_up1149430426on_val(U_1749,U_1746,U_1748),U_1745,U_1747) = fun_up1149430426on_val(fun_up1149430426on_val(U_1749,U_1745,U_1747),U_1746,U_1748)
    | U_1746 = U_1745 ),
    inference(clausify,[status(thm)],[f_341_2]) ).

fof(f_342_1,plain,
    ! [M_1,B,D_1,A,C_2] :
      ( fun_up424764369ion_ty(fun_up424764369ion_ty(M_1,A,B),C_2,D_1) = fun_up424764369ion_ty(fun_up424764369ion_ty(M_1,C_2,D_1),A,B)
      | A = C_2 ),
    inference(fof_nnf,[status(thm)],[fact_200_fun__upd__twist]) ).

fof(f_342_2,plain,
    ! [U_1754,U_1753,U_1752,U_1751,U_1750] :
      ( fun_up424764369ion_ty(fun_up424764369ion_ty(U_1754,U_1751,U_1753),U_1750,U_1752) = fun_up424764369ion_ty(fun_up424764369ion_ty(U_1754,U_1750,U_1752),U_1751,U_1753)
      | U_1751 = U_1750 ),
    inference(variable_rename,[status(thm)],[f_342_1]) ).

cnf(f_342_3,plain,
    ( fun_up424764369ion_ty(fun_up424764369ion_ty(U_1754,U_1751,U_1753),U_1750,U_1752) = fun_up424764369ion_ty(fun_up424764369ion_ty(U_1754,U_1750,U_1752),U_1751,U_1753)
    | U_1751 = U_1750 ),
    inference(clausify,[status(thm)],[f_342_2]) ).

fof(f_343_1,plain,
    ! [M_1,B,D_1,A,C_2] :
      ( fun_up2041264236on_val(fun_up2041264236on_val(M_1,A,B),C_2,D_1) = fun_up2041264236on_val(fun_up2041264236on_val(M_1,C_2,D_1),A,B)
      | A = C_2 ),
    inference(fof_nnf,[status(thm)],[fact_201_fun__upd__twist]) ).

fof(f_343_2,plain,
    ! [U_1759,U_1758,U_1757,U_1756,U_1755] :
      ( fun_up2041264236on_val(fun_up2041264236on_val(U_1759,U_1756,U_1758),U_1755,U_1757) = fun_up2041264236on_val(fun_up2041264236on_val(U_1759,U_1755,U_1757),U_1756,U_1758)
      | U_1756 = U_1755 ),
    inference(variable_rename,[status(thm)],[f_343_1]) ).

cnf(f_343_3,plain,
    ( fun_up2041264236on_val(fun_up2041264236on_val(U_1759,U_1756,U_1758),U_1755,U_1757) = fun_up2041264236on_val(fun_up2041264236on_val(U_1759,U_1755,U_1757),U_1756,U_1758)
    | U_1756 = U_1755 ),
    inference(clausify,[status(thm)],[f_343_2]) ).

fof(f_344_1,plain,
    ! [M_1,B,D_1,A,C_2] :
      ( fun_up204312361on_val(fun_up204312361on_val(M_1,A,B),C_2,D_1) = fun_up204312361on_val(fun_up204312361on_val(M_1,C_2,D_1),A,B)
      | A = C_2 ),
    inference(fof_nnf,[status(thm)],[fact_202_fun__upd__twist]) ).

fof(f_344_2,plain,
    ! [U_1764,U_1763,U_1762,U_1761,U_1760] :
      ( fun_up204312361on_val(fun_up204312361on_val(U_1764,U_1761,U_1763),U_1760,U_1762) = fun_up204312361on_val(fun_up204312361on_val(U_1764,U_1760,U_1762),U_1761,U_1763)
      | U_1761 = U_1760 ),
    inference(variable_rename,[status(thm)],[f_344_1]) ).

cnf(f_344_3,plain,
    ( fun_up204312361on_val(fun_up204312361on_val(U_1764,U_1761,U_1763),U_1760,U_1762) = fun_up204312361on_val(fun_up204312361on_val(U_1764,U_1760,U_1762),U_1761,U_1763)
    | U_1761 = U_1760 ),
    inference(clausify,[status(thm)],[f_344_2]) ).

fof(f_345_1,plain,
    ! [F_1,Y_2,Z_1,X_2] :
      ( ( hAPP_l207779698on_val(fun_up1149430426on_val(F_1,X_2,Y_2),Z_1) = hAPP_l207779698on_val(F_1,Z_1)
        | Z_1 = X_2 )
      & ( hAPP_l207779698on_val(fun_up1149430426on_val(F_1,X_2,Y_2),Z_1) = Y_2
        | Z_1 != X_2 ) ),
    inference(fof_nnf,[status(thm)],[fact_203_fun__upd__apply]) ).

fof(f_345_2,plain,
    ! [U_1768,U_1767,U_1766,U_1765] :
      ( ( hAPP_l207779698on_val(fun_up1149430426on_val(U_1768,U_1765,U_1767),U_1766) = hAPP_l207779698on_val(U_1768,U_1766)
        | U_1766 = U_1765 )
      & ( hAPP_l207779698on_val(fun_up1149430426on_val(U_1768,U_1765,U_1767),U_1766) = U_1767
        | U_1766 != U_1765 ) ),
    inference(variable_rename,[status(thm)],[f_345_1]) ).

fof(f_345_3,plain,
    ( ! [U_1776,U_1774,U_1772,U_1770] :
        ( hAPP_l207779698on_val(fun_up1149430426on_val(U_1776,U_1770,U_1774),U_1772) = hAPP_l207779698on_val(U_1776,U_1772)
        | U_1772 = U_1770 )
    & ! [U_1775,U_1773,U_1771,U_1769] :
        ( hAPP_l207779698on_val(fun_up1149430426on_val(U_1775,U_1769,U_1773),U_1771) = U_1773
        | U_1771 != U_1769 ) ),
    inference(miniscope,[status(thm)],[f_345_2]) ).

cnf(f_345_4,plain,
    ( hAPP_l207779698on_val(fun_up1149430426on_val(U_1775,U_1769,U_1773),U_1771) = U_1773
    | U_1771 != U_1769 ),
    inference(clausify,[status(thm)],[f_345_3]) ).

cnf(f_345_5,plain,
    ( hAPP_l207779698on_val(fun_up1149430426on_val(U_1776,U_1770,U_1774),U_1772) = hAPP_l207779698on_val(U_1776,U_1772)
    | U_1772 = U_1770 ),
    inference(clausify,[status(thm)],[f_345_3]) ).

fof(f_346_1,plain,
    ! [F_1,Y_2,Z_1,X_2] :
      ( ( hAPP_l512744617ion_ty(fun_up424764369ion_ty(F_1,X_2,Y_2),Z_1) = hAPP_l512744617ion_ty(F_1,Z_1)
        | Z_1 = X_2 )
      & ( hAPP_l512744617ion_ty(fun_up424764369ion_ty(F_1,X_2,Y_2),Z_1) = Y_2
        | Z_1 != X_2 ) ),
    inference(fof_nnf,[status(thm)],[fact_204_fun__upd__apply]) ).

fof(f_346_2,plain,
    ! [U_1780,U_1779,U_1778,U_1777] :
      ( ( hAPP_l512744617ion_ty(fun_up424764369ion_ty(U_1780,U_1777,U_1779),U_1778) = hAPP_l512744617ion_ty(U_1780,U_1778)
        | U_1778 = U_1777 )
      & ( hAPP_l512744617ion_ty(fun_up424764369ion_ty(U_1780,U_1777,U_1779),U_1778) = U_1779
        | U_1778 != U_1777 ) ),
    inference(variable_rename,[status(thm)],[f_346_1]) ).

fof(f_346_3,plain,
    ( ! [U_1788,U_1786,U_1784,U_1782] :
        ( hAPP_l512744617ion_ty(fun_up424764369ion_ty(U_1788,U_1782,U_1786),U_1784) = hAPP_l512744617ion_ty(U_1788,U_1784)
        | U_1784 = U_1782 )
    & ! [U_1787,U_1785,U_1783,U_1781] :
        ( hAPP_l512744617ion_ty(fun_up424764369ion_ty(U_1787,U_1781,U_1785),U_1783) = U_1785
        | U_1783 != U_1781 ) ),
    inference(miniscope,[status(thm)],[f_346_2]) ).

cnf(f_346_4,plain,
    ( hAPP_l512744617ion_ty(fun_up424764369ion_ty(U_1787,U_1781,U_1785),U_1783) = U_1785
    | U_1783 != U_1781 ),
    inference(clausify,[status(thm)],[f_346_3]) ).

cnf(f_346_5,plain,
    ( hAPP_l512744617ion_ty(fun_up424764369ion_ty(U_1788,U_1782,U_1786),U_1784) = hAPP_l512744617ion_ty(U_1788,U_1784)
    | U_1784 = U_1782 ),
    inference(clausify,[status(thm)],[f_346_3]) ).

fof(f_347_1,plain,
    ! [F_1,Y_2,Z_1,X_2] :
      ( ( hAPP_n546249108on_val(fun_up2041264236on_val(F_1,X_2,Y_2),Z_1) = hAPP_n546249108on_val(F_1,Z_1)
        | Z_1 = X_2 )
      & ( hAPP_n546249108on_val(fun_up2041264236on_val(F_1,X_2,Y_2),Z_1) = Y_2
        | Z_1 != X_2 ) ),
    inference(fof_nnf,[status(thm)],[fact_205_fun__upd__apply]) ).

fof(f_347_2,plain,
    ! [U_1792,U_1791,U_1790,U_1789] :
      ( ( hAPP_n546249108on_val(fun_up2041264236on_val(U_1792,U_1789,U_1791),U_1790) = hAPP_n546249108on_val(U_1792,U_1790)
        | U_1790 = U_1789 )
      & ( hAPP_n546249108on_val(fun_up2041264236on_val(U_1792,U_1789,U_1791),U_1790) = U_1791
        | U_1790 != U_1789 ) ),
    inference(variable_rename,[status(thm)],[f_347_1]) ).

fof(f_347_3,plain,
    ( ! [U_1800,U_1798,U_1796,U_1794] :
        ( hAPP_n546249108on_val(fun_up2041264236on_val(U_1800,U_1794,U_1798),U_1796) = hAPP_n546249108on_val(U_1800,U_1796)
        | U_1796 = U_1794 )
    & ! [U_1799,U_1797,U_1795,U_1793] :
        ( hAPP_n546249108on_val(fun_up2041264236on_val(U_1799,U_1793,U_1797),U_1795) = U_1797
        | U_1795 != U_1793 ) ),
    inference(miniscope,[status(thm)],[f_347_2]) ).

cnf(f_347_4,plain,
    ( hAPP_n546249108on_val(fun_up2041264236on_val(U_1799,U_1793,U_1797),U_1795) = U_1797
    | U_1795 != U_1793 ),
    inference(clausify,[status(thm)],[f_347_3]) ).

cnf(f_347_5,plain,
    ( hAPP_n546249108on_val(fun_up2041264236on_val(U_1800,U_1794,U_1798),U_1796) = hAPP_n546249108on_val(U_1800,U_1796)
    | U_1796 = U_1794 ),
    inference(clausify,[status(thm)],[f_347_3]) ).

fof(f_348_1,plain,
    ! [F_1,Y_2,Z_1,X_2] :
      ( ( hAPP_P2094403585on_val(fun_up204312361on_val(F_1,X_2,Y_2),Z_1) = hAPP_P2094403585on_val(F_1,Z_1)
        | Z_1 = X_2 )
      & ( hAPP_P2094403585on_val(fun_up204312361on_val(F_1,X_2,Y_2),Z_1) = Y_2
        | Z_1 != X_2 ) ),
    inference(fof_nnf,[status(thm)],[fact_206_fun__upd__apply]) ).

fof(f_348_2,plain,
    ! [U_1804,U_1803,U_1802,U_1801] :
      ( ( hAPP_P2094403585on_val(fun_up204312361on_val(U_1804,U_1801,U_1803),U_1802) = hAPP_P2094403585on_val(U_1804,U_1802)
        | U_1802 = U_1801 )
      & ( hAPP_P2094403585on_val(fun_up204312361on_val(U_1804,U_1801,U_1803),U_1802) = U_1803
        | U_1802 != U_1801 ) ),
    inference(variable_rename,[status(thm)],[f_348_1]) ).

fof(f_348_3,plain,
    ( ! [U_1812,U_1810,U_1808,U_1806] :
        ( hAPP_P2094403585on_val(fun_up204312361on_val(U_1812,U_1806,U_1810),U_1808) = hAPP_P2094403585on_val(U_1812,U_1808)
        | U_1808 = U_1806 )
    & ! [U_1811,U_1809,U_1807,U_1805] :
        ( hAPP_P2094403585on_val(fun_up204312361on_val(U_1811,U_1805,U_1809),U_1807) = U_1809
        | U_1807 != U_1805 ) ),
    inference(miniscope,[status(thm)],[f_348_2]) ).

cnf(f_348_4,plain,
    ( hAPP_P2094403585on_val(fun_up204312361on_val(U_1811,U_1805,U_1809),U_1807) = U_1809
    | U_1807 != U_1805 ),
    inference(clausify,[status(thm)],[f_348_3]) ).

cnf(f_348_5,plain,
    ( hAPP_P2094403585on_val(fun_up204312361on_val(U_1812,U_1806,U_1810),U_1808) = hAPP_P2094403585on_val(U_1812,U_1808)
    | U_1808 = U_1806 ),
    inference(clausify,[status(thm)],[f_348_3]) ).

fof(f_349_1,plain,
    ! [F_1,X_2,Y_2] : hAPP_l207779698on_val(fun_up1149430426on_val(F_1,X_2,Y_2),X_2) = Y_2,
    inference(fof_nnf,[status(thm)],[fact_207_fun__upd__same]) ).

fof(f_349_2,plain,
    ! [U_1815,U_1814,U_1813] : hAPP_l207779698on_val(fun_up1149430426on_val(U_1815,U_1814,U_1813),U_1814) = U_1813,
    inference(variable_rename,[status(thm)],[f_349_1]) ).

cnf(f_349_3,plain,
    hAPP_l207779698on_val(fun_up1149430426on_val(U_1815,U_1814,U_1813),U_1814) = U_1813,
    inference(clausify,[status(thm)],[f_349_2]) ).

fof(f_350_1,plain,
    ! [F_1,X_2,Y_2] : hAPP_l512744617ion_ty(fun_up424764369ion_ty(F_1,X_2,Y_2),X_2) = Y_2,
    inference(fof_nnf,[status(thm)],[fact_208_fun__upd__same]) ).

fof(f_350_2,plain,
    ! [U_1818,U_1817,U_1816] : hAPP_l512744617ion_ty(fun_up424764369ion_ty(U_1818,U_1817,U_1816),U_1817) = U_1816,
    inference(variable_rename,[status(thm)],[f_350_1]) ).

cnf(f_350_3,plain,
    hAPP_l512744617ion_ty(fun_up424764369ion_ty(U_1818,U_1817,U_1816),U_1817) = U_1816,
    inference(clausify,[status(thm)],[f_350_2]) ).

fof(f_351_1,plain,
    ! [F_1,X_2,Y_2] : hAPP_n546249108on_val(fun_up2041264236on_val(F_1,X_2,Y_2),X_2) = Y_2,
    inference(fof_nnf,[status(thm)],[fact_209_fun__upd__same]) ).

fof(f_351_2,plain,
    ! [U_1821,U_1820,U_1819] : hAPP_n546249108on_val(fun_up2041264236on_val(U_1821,U_1820,U_1819),U_1820) = U_1819,
    inference(variable_rename,[status(thm)],[f_351_1]) ).

cnf(f_351_3,plain,
    hAPP_n546249108on_val(fun_up2041264236on_val(U_1821,U_1820,U_1819),U_1820) = U_1819,
    inference(clausify,[status(thm)],[f_351_2]) ).

fof(f_352_1,plain,
    ! [F_1,X_2,Y_2] : hAPP_P2094403585on_val(fun_up204312361on_val(F_1,X_2,Y_2),X_2) = Y_2,
    inference(fof_nnf,[status(thm)],[fact_210_fun__upd__same]) ).

fof(f_352_2,plain,
    ! [U_1824,U_1823,U_1822] : hAPP_P2094403585on_val(fun_up204312361on_val(U_1824,U_1823,U_1822),U_1823) = U_1822,
    inference(variable_rename,[status(thm)],[f_352_1]) ).

cnf(f_352_3,plain,
    hAPP_P2094403585on_val(fun_up204312361on_val(U_1824,U_1823,U_1822),U_1823) = U_1822,
    inference(clausify,[status(thm)],[f_352_2]) ).

fof(f_353_1,plain,
    ! [F_1,X_2,Y_2,Z_1] : fun_up1149430426on_val(fun_up1149430426on_val(F_1,X_2,Y_2),X_2,Z_1) = fun_up1149430426on_val(F_1,X_2,Z_1),
    inference(fof_nnf,[status(thm)],[fact_211_fun__upd__upd]) ).

fof(f_353_2,plain,
    ! [U_1828,U_1827,U_1826,U_1825] : fun_up1149430426on_val(fun_up1149430426on_val(U_1828,U_1827,U_1826),U_1827,U_1825) = fun_up1149430426on_val(U_1828,U_1827,U_1825),
    inference(variable_rename,[status(thm)],[f_353_1]) ).

cnf(f_353_3,plain,
    fun_up1149430426on_val(fun_up1149430426on_val(U_1828,U_1827,U_1826),U_1827,U_1825) = fun_up1149430426on_val(U_1828,U_1827,U_1825),
    inference(clausify,[status(thm)],[f_353_2]) ).

fof(f_354_1,plain,
    ! [F_1,X_2,Y_2,Z_1] : fun_up424764369ion_ty(fun_up424764369ion_ty(F_1,X_2,Y_2),X_2,Z_1) = fun_up424764369ion_ty(F_1,X_2,Z_1),
    inference(fof_nnf,[status(thm)],[fact_212_fun__upd__upd]) ).

fof(f_354_2,plain,
    ! [U_1832,U_1831,U_1830,U_1829] : fun_up424764369ion_ty(fun_up424764369ion_ty(U_1832,U_1831,U_1830),U_1831,U_1829) = fun_up424764369ion_ty(U_1832,U_1831,U_1829),
    inference(variable_rename,[status(thm)],[f_354_1]) ).

cnf(f_354_3,plain,
    fun_up424764369ion_ty(fun_up424764369ion_ty(U_1832,U_1831,U_1830),U_1831,U_1829) = fun_up424764369ion_ty(U_1832,U_1831,U_1829),
    inference(clausify,[status(thm)],[f_354_2]) ).

fof(f_355_1,plain,
    ! [F_1,X_2,Y_2,Z_1] : fun_up2041264236on_val(fun_up2041264236on_val(F_1,X_2,Y_2),X_2,Z_1) = fun_up2041264236on_val(F_1,X_2,Z_1),
    inference(fof_nnf,[status(thm)],[fact_213_fun__upd__upd]) ).

fof(f_355_2,plain,
    ! [U_1836,U_1835,U_1834,U_1833] : fun_up2041264236on_val(fun_up2041264236on_val(U_1836,U_1835,U_1834),U_1835,U_1833) = fun_up2041264236on_val(U_1836,U_1835,U_1833),
    inference(variable_rename,[status(thm)],[f_355_1]) ).

cnf(f_355_3,plain,
    fun_up2041264236on_val(fun_up2041264236on_val(U_1836,U_1835,U_1834),U_1835,U_1833) = fun_up2041264236on_val(U_1836,U_1835,U_1833),
    inference(clausify,[status(thm)],[f_355_2]) ).

fof(f_356_1,plain,
    ! [F_1,X_2,Y_2,Z_1] : fun_up204312361on_val(fun_up204312361on_val(F_1,X_2,Y_2),X_2,Z_1) = fun_up204312361on_val(F_1,X_2,Z_1),
    inference(fof_nnf,[status(thm)],[fact_214_fun__upd__upd]) ).

fof(f_356_2,plain,
    ! [U_1840,U_1839,U_1838,U_1837] : fun_up204312361on_val(fun_up204312361on_val(U_1840,U_1839,U_1838),U_1839,U_1837) = fun_up204312361on_val(U_1840,U_1839,U_1837),
    inference(variable_rename,[status(thm)],[f_356_1]) ).

cnf(f_356_3,plain,
    fun_up204312361on_val(fun_up204312361on_val(U_1840,U_1839,U_1838),U_1839,U_1837) = fun_up204312361on_val(U_1840,U_1839,U_1837),
    inference(clausify,[status(thm)],[f_356_2]) ).

fof(f_357_1,plain,
    ! [F_1,X_2,Y_2] :
      ( ( fun_up1149430426on_val(F_1,X_2,Y_2) = F_1
        | hAPP_l207779698on_val(F_1,X_2) != Y_2 )
      & ( hAPP_l207779698on_val(F_1,X_2) = Y_2
        | fun_up1149430426on_val(F_1,X_2,Y_2) != F_1 ) ),
    inference(fof_nnf,[status(thm)],[fact_215_fun__upd__idem__iff]) ).

fof(f_357_2,plain,
    ! [U_1843,U_1842,U_1841] :
      ( ( fun_up1149430426on_val(U_1843,U_1842,U_1841) = U_1843
        | hAPP_l207779698on_val(U_1843,U_1842) != U_1841 )
      & ( hAPP_l207779698on_val(U_1843,U_1842) = U_1841
        | fun_up1149430426on_val(U_1843,U_1842,U_1841) != U_1843 ) ),
    inference(variable_rename,[status(thm)],[f_357_1]) ).

fof(f_357_3,plain,
    ( ! [U_1849,U_1847,U_1845] :
        ( fun_up1149430426on_val(U_1849,U_1847,U_1845) = U_1849
        | hAPP_l207779698on_val(U_1849,U_1847) != U_1845 )
    & ! [U_1848,U_1846,U_1844] :
        ( hAPP_l207779698on_val(U_1848,U_1846) = U_1844
        | fun_up1149430426on_val(U_1848,U_1846,U_1844) != U_1848 ) ),
    inference(miniscope,[status(thm)],[f_357_2]) ).

cnf(f_357_4,plain,
    ( hAPP_l207779698on_val(U_1848,U_1846) = U_1844
    | fun_up1149430426on_val(U_1848,U_1846,U_1844) != U_1848 ),
    inference(clausify,[status(thm)],[f_357_3]) ).

cnf(f_357_5,plain,
    ( fun_up1149430426on_val(U_1849,U_1847,U_1845) = U_1849
    | hAPP_l207779698on_val(U_1849,U_1847) != U_1845 ),
    inference(clausify,[status(thm)],[f_357_3]) ).

fof(f_358_1,plain,
    ! [F_1,X_2,Y_2] :
      ( ( fun_up424764369ion_ty(F_1,X_2,Y_2) = F_1
        | hAPP_l512744617ion_ty(F_1,X_2) != Y_2 )
      & ( hAPP_l512744617ion_ty(F_1,X_2) = Y_2
        | fun_up424764369ion_ty(F_1,X_2,Y_2) != F_1 ) ),
    inference(fof_nnf,[status(thm)],[fact_216_fun__upd__idem__iff]) ).

fof(f_358_2,plain,
    ! [U_1852,U_1851,U_1850] :
      ( ( fun_up424764369ion_ty(U_1852,U_1851,U_1850) = U_1852
        | hAPP_l512744617ion_ty(U_1852,U_1851) != U_1850 )
      & ( hAPP_l512744617ion_ty(U_1852,U_1851) = U_1850
        | fun_up424764369ion_ty(U_1852,U_1851,U_1850) != U_1852 ) ),
    inference(variable_rename,[status(thm)],[f_358_1]) ).

fof(f_358_3,plain,
    ( ! [U_1858,U_1856,U_1854] :
        ( fun_up424764369ion_ty(U_1858,U_1856,U_1854) = U_1858
        | hAPP_l512744617ion_ty(U_1858,U_1856) != U_1854 )
    & ! [U_1857,U_1855,U_1853] :
        ( hAPP_l512744617ion_ty(U_1857,U_1855) = U_1853
        | fun_up424764369ion_ty(U_1857,U_1855,U_1853) != U_1857 ) ),
    inference(miniscope,[status(thm)],[f_358_2]) ).

cnf(f_358_4,plain,
    ( hAPP_l512744617ion_ty(U_1857,U_1855) = U_1853
    | fun_up424764369ion_ty(U_1857,U_1855,U_1853) != U_1857 ),
    inference(clausify,[status(thm)],[f_358_3]) ).

cnf(f_358_5,plain,
    ( fun_up424764369ion_ty(U_1858,U_1856,U_1854) = U_1858
    | hAPP_l512744617ion_ty(U_1858,U_1856) != U_1854 ),
    inference(clausify,[status(thm)],[f_358_3]) ).

fof(f_359_1,plain,
    ! [F_1,X_2,Y_2] :
      ( ( fun_up2041264236on_val(F_1,X_2,Y_2) = F_1
        | hAPP_n546249108on_val(F_1,X_2) != Y_2 )
      & ( hAPP_n546249108on_val(F_1,X_2) = Y_2
        | fun_up2041264236on_val(F_1,X_2,Y_2) != F_1 ) ),
    inference(fof_nnf,[status(thm)],[fact_217_fun__upd__idem__iff]) ).

fof(f_359_2,plain,
    ! [U_1861,U_1860,U_1859] :
      ( ( fun_up2041264236on_val(U_1861,U_1860,U_1859) = U_1861
        | hAPP_n546249108on_val(U_1861,U_1860) != U_1859 )
      & ( hAPP_n546249108on_val(U_1861,U_1860) = U_1859
        | fun_up2041264236on_val(U_1861,U_1860,U_1859) != U_1861 ) ),
    inference(variable_rename,[status(thm)],[f_359_1]) ).

fof(f_359_3,plain,
    ( ! [U_1867,U_1865,U_1863] :
        ( fun_up2041264236on_val(U_1867,U_1865,U_1863) = U_1867
        | hAPP_n546249108on_val(U_1867,U_1865) != U_1863 )
    & ! [U_1866,U_1864,U_1862] :
        ( hAPP_n546249108on_val(U_1866,U_1864) = U_1862
        | fun_up2041264236on_val(U_1866,U_1864,U_1862) != U_1866 ) ),
    inference(miniscope,[status(thm)],[f_359_2]) ).

cnf(f_359_4,plain,
    ( hAPP_n546249108on_val(U_1866,U_1864) = U_1862
    | fun_up2041264236on_val(U_1866,U_1864,U_1862) != U_1866 ),
    inference(clausify,[status(thm)],[f_359_3]) ).

cnf(f_359_5,plain,
    ( fun_up2041264236on_val(U_1867,U_1865,U_1863) = U_1867
    | hAPP_n546249108on_val(U_1867,U_1865) != U_1863 ),
    inference(clausify,[status(thm)],[f_359_3]) ).

fof(f_360_1,plain,
    ! [F_1,X_2,Y_2] :
      ( ( fun_up204312361on_val(F_1,X_2,Y_2) = F_1
        | hAPP_P2094403585on_val(F_1,X_2) != Y_2 )
      & ( hAPP_P2094403585on_val(F_1,X_2) = Y_2
        | fun_up204312361on_val(F_1,X_2,Y_2) != F_1 ) ),
    inference(fof_nnf,[status(thm)],[fact_218_fun__upd__idem__iff]) ).

fof(f_360_2,plain,
    ! [U_1870,U_1869,U_1868] :
      ( ( fun_up204312361on_val(U_1870,U_1869,U_1868) = U_1870
        | hAPP_P2094403585on_val(U_1870,U_1869) != U_1868 )
      & ( hAPP_P2094403585on_val(U_1870,U_1869) = U_1868
        | fun_up204312361on_val(U_1870,U_1869,U_1868) != U_1870 ) ),
    inference(variable_rename,[status(thm)],[f_360_1]) ).

fof(f_360_3,plain,
    ( ! [U_1876,U_1874,U_1872] :
        ( fun_up204312361on_val(U_1876,U_1874,U_1872) = U_1876
        | hAPP_P2094403585on_val(U_1876,U_1874) != U_1872 )
    & ! [U_1875,U_1873,U_1871] :
        ( hAPP_P2094403585on_val(U_1875,U_1873) = U_1871
        | fun_up204312361on_val(U_1875,U_1873,U_1871) != U_1875 ) ),
    inference(miniscope,[status(thm)],[f_360_2]) ).

cnf(f_360_4,plain,
    ( hAPP_P2094403585on_val(U_1875,U_1873) = U_1871
    | fun_up204312361on_val(U_1875,U_1873,U_1871) != U_1875 ),
    inference(clausify,[status(thm)],[f_360_3]) ).

cnf(f_360_5,plain,
    ( fun_up204312361on_val(U_1876,U_1874,U_1872) = U_1876
    | hAPP_P2094403585on_val(U_1876,U_1874) != U_1872 ),
    inference(clausify,[status(thm)],[f_360_3]) ).

fof(f_361_1,plain,
    ! [P_4,T_7] : hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(P_4),T_7),T_7)),
    inference(fof_nnf,[status(thm)],[fact_219_widen__refl]) ).

fof(f_361_2,plain,
    ! [U_1878,U_1877] : hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(U_1878),U_1877),U_1877)),
    inference(variable_rename,[status(thm)],[f_361_1]) ).

cnf(f_361_3,plain,
    hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(U_1878),U_1877),U_1877)),
    inference(clausify,[status(thm)],[f_361_2]) ).

fof(f_362_1,plain,
    ! [Ea,Ta,Eb,Hb,Lb,E_b,H_b,L_b,Pa] :
      ( hBOOL(hAPP_f61040418l_bool(hconf_97414254t_char(Pa),H_b))
      | ~ hBOOL(hAPP_f61040418l_bool(hconf_97414254t_char(Pa),Hb))
      | ~ hBOOL(wTrt_1(Pa,Hb,Ea,Eb,Ta))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),L_b)))),red(Pa))) ),
    inference(fof_nnf,[status(thm)],[fact_220_red__preserves__hconf]) ).

fof(f_362_2,plain,
    ! [U_1887,U_1886,U_1885,U_1884,U_1883,U_1882,U_1881,U_1880,U_1879] :
      ( hBOOL(hAPP_f61040418l_bool(hconf_97414254t_char(U_1879),U_1881))
      | ~ hBOOL(hAPP_f61040418l_bool(hconf_97414254t_char(U_1879),U_1884))
      | ~ hBOOL(wTrt_1(U_1879,U_1884,U_1887,U_1885,U_1886))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_1885),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_1884),U_1883))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_1882),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_1881),U_1880)))),red(U_1879))) ),
    inference(variable_rename,[status(thm)],[f_362_1]) ).

cnf(f_362_3,plain,
    ( hBOOL(hAPP_f61040418l_bool(hconf_97414254t_char(U_1879),U_1881))
    | ~ hBOOL(hAPP_f61040418l_bool(hconf_97414254t_char(U_1879),U_1884))
    | ~ hBOOL(wTrt_1(U_1879,U_1884,U_1887,U_1885,U_1886))
    | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_1885),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_1884),U_1883))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_1882),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_1881),U_1880)))),red(U_1879))) ),
    inference(clausify,[status(thm)],[f_362_2]) ).

fof(f_363_1,plain,
    ! [Ea,Ta,Eb,Hb,Lb,E_b,H_b,L_b,Pa] :
      ( hBOOL(hAPP_f1001225811y_bool(hAPP_f2060496320y_bool(hAPP_f1213370163y_bool(lconf_496643946t_char(Pa),H_b),L_b),Ea))
      | ~ hBOOL(hAPP_f1001225811y_bool(hAPP_f2060496320y_bool(hAPP_f1213370163y_bool(lconf_496643946t_char(Pa),Hb),Lb),Ea))
      | ~ hBOOL(wTrt_1(Pa,Hb,Ea,Eb,Ta))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),L_b)))),red(Pa))) ),
    inference(fof_nnf,[status(thm)],[fact_221_red__preserves__lconf]) ).

fof(f_363_2,plain,
    ! [U_1896,U_1895,U_1894,U_1893,U_1892,U_1891,U_1890,U_1889,U_1888] :
      ( hBOOL(hAPP_f1001225811y_bool(hAPP_f2060496320y_bool(hAPP_f1213370163y_bool(lconf_496643946t_char(U_1888),U_1890),U_1889),U_1896))
      | ~ hBOOL(hAPP_f1001225811y_bool(hAPP_f2060496320y_bool(hAPP_f1213370163y_bool(lconf_496643946t_char(U_1888),U_1893),U_1892),U_1896))
      | ~ hBOOL(wTrt_1(U_1888,U_1893,U_1896,U_1894,U_1895))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_1894),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_1893),U_1892))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_1891),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_1890),U_1889)))),red(U_1888))) ),
    inference(variable_rename,[status(thm)],[f_363_1]) ).

cnf(f_363_3,plain,
    ( hBOOL(hAPP_f1001225811y_bool(hAPP_f2060496320y_bool(hAPP_f1213370163y_bool(lconf_496643946t_char(U_1888),U_1890),U_1889),U_1896))
    | ~ hBOOL(hAPP_f1001225811y_bool(hAPP_f2060496320y_bool(hAPP_f1213370163y_bool(lconf_496643946t_char(U_1888),U_1893),U_1892),U_1896))
    | ~ hBOOL(wTrt_1(U_1888,U_1893,U_1896,U_1894,U_1895))
    | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_1894),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_1893),U_1892))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_1891),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_1890),U_1889)))),red(U_1888))) ),
    inference(clausify,[status(thm)],[f_363_2]) ).

fof(f_364_1,plain,
    ! [Y_5] :
    ? [A_1,B_2,C_4] : Y_5 = hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,A_1),hAPP_P976433298t_char(hAPP_l2048923787t_char(produc2016959032t_char,B_2),C_4)),
    inference(fof_nnf,[status(thm)],[fact_222_prod__cases3]) ).

fof(f_364_2,plain,
    ! [U_1900] :
    ? [U_1899,U_1898,U_1897] : U_1900 = hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,U_1899),hAPP_P976433298t_char(hAPP_l2048923787t_char(produc2016959032t_char,U_1898),U_1897)),
    inference(variable_rename,[status(thm)],[f_364_1]) ).

fof(f_364_3,plain,
    ! [U_1900] :
    ? [U_1898,U_1897] : U_1900 = hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,sK280(U_1900)),hAPP_P976433298t_char(hAPP_l2048923787t_char(produc2016959032t_char,U_1898),U_1897)),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK280]),skolemize(U_1899,sK280(U_1900))],[f_364_2]) ).

fof(f_364_4,plain,
    ! [U_1900] :
    ? [U_1897] : U_1900 = hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,sK280(U_1900)),hAPP_P976433298t_char(hAPP_l2048923787t_char(produc2016959032t_char,sK281(U_1900)),U_1897)),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK281]),skolemize(U_1898,sK281(U_1900))],[f_364_3]) ).

fof(f_364_5,plain,
    ! [U_1900] : U_1900 = hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,sK280(U_1900)),hAPP_P976433298t_char(hAPP_l2048923787t_char(produc2016959032t_char,sK281(U_1900)),sK282(U_1900))),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK282]),skolemize(U_1897,sK282(U_1900))],[f_364_4]) ).

cnf(f_364_6,plain,
    U_1900 = hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,sK280(U_1900)),hAPP_P976433298t_char(hAPP_l2048923787t_char(produc2016959032t_char,sK281(U_1900)),sK282(U_1900))),
    inference(clausify,[status(thm)],[f_364_5]) ).

fof(f_365_1,plain,
    ! [Y_2] :
    ? [A_1,B_2,C_4] : Y_2 = hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_1),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,B_2),C_4)),
    inference(fof_nnf,[status(thm)],[fact_223_prod__cases3]) ).

fof(f_365_2,plain,
    ! [U_1904] :
    ? [U_1903,U_1902,U_1901] : U_1904 = hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_1903),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_1902),U_1901)),
    inference(variable_rename,[status(thm)],[f_365_1]) ).

fof(f_365_3,plain,
    ! [U_1904] :
    ? [U_1902,U_1901] : U_1904 = hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK283(U_1904)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_1902),U_1901)),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK283]),skolemize(U_1903,sK283(U_1904))],[f_365_2]) ).

fof(f_365_4,plain,
    ! [U_1904] :
    ? [U_1901] : U_1904 = hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK283(U_1904)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK284(U_1904)),U_1901)),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK284]),skolemize(U_1902,sK284(U_1904))],[f_365_3]) ).

fof(f_365_5,plain,
    ! [U_1904] : U_1904 = hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK283(U_1904)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK284(U_1904)),sK285(U_1904))),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK285]),skolemize(U_1901,sK285(U_1904))],[f_365_4]) ).

cnf(f_365_6,plain,
    U_1904 = hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK283(U_1904)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK284(U_1904)),sK285(U_1904))),
    inference(clausify,[status(thm)],[f_365_5]) ).

fof(f_366_1,plain,
    ! [Y_2] :
    ? [A_1,B_2,C_4] : Y_2 = hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A_1),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,B_2),C_4)),
    inference(fof_nnf,[status(thm)],[fact_224_prod__cases3]) ).

fof(f_366_2,plain,
    ! [U_1908] :
    ? [U_1907,U_1906,U_1905] : U_1908 = hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_1907),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_1906),U_1905)),
    inference(variable_rename,[status(thm)],[f_366_1]) ).

fof(f_366_3,plain,
    ! [U_1908] :
    ? [U_1906,U_1905] : U_1908 = hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK286(U_1908)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_1906),U_1905)),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK286]),skolemize(U_1907,sK286(U_1908))],[f_366_2]) ).

fof(f_366_4,plain,
    ! [U_1908] :
    ? [U_1905] : U_1908 = hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK286(U_1908)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK287(U_1908)),U_1905)),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK287]),skolemize(U_1906,sK287(U_1908))],[f_366_3]) ).

fof(f_366_5,plain,
    ! [U_1908] : U_1908 = hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK286(U_1908)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK287(U_1908)),sK288(U_1908))),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK288]),skolemize(U_1905,sK288(U_1908))],[f_366_4]) ).

cnf(f_366_6,plain,
    U_1908 = hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK286(U_1908)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK287(U_1908)),sK288(U_1908))),
    inference(clausify,[status(thm)],[f_366_5]) ).

fof(f_367_1,plain,
    ! [Y_5] :
    ? [A_1,B_2,C_4] :
      ( Y_5 = hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,A_1),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,B_2),C_4))
      & is_bop(A_1) ),
    inference(fof_nnf,[status(thm)],[fact_225_prod__cases3]) ).

fof(f_367_2,plain,
    ! [U_1912] :
    ? [U_1911,U_1910,U_1909] :
      ( U_1912 = hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_1911),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_1910),U_1909))
      & is_bop(U_1911) ),
    inference(variable_rename,[status(thm)],[f_367_1]) ).

fof(f_367_3,plain,
    ! [U_1912] :
    ? [U_1911] :
      ( ? [U_1910,U_1909] : U_1912 = hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_1911),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_1910),U_1909))
      & is_bop(U_1911) ),
    inference(miniscope,[status(thm)],[f_367_2]) ).

fof(f_367_4,plain,
    ! [U_1912] :
      ( ? [U_1910,U_1909] : U_1912 = hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,sK289(U_1912)),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_1910),U_1909))
      & is_bop(sK289(U_1912)) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK289]),skolemize(U_1911,sK289(U_1912))],[f_367_3]) ).

fof(f_367_5,plain,
    ! [U_1912] :
      ( ? [U_1909] : U_1912 = hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,sK289(U_1912)),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,sK290(U_1912)),U_1909))
      & is_bop(sK289(U_1912)) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK290]),skolemize(U_1910,sK290(U_1912))],[f_367_4]) ).

fof(f_367_6,plain,
    ! [U_1912] :
      ( U_1912 = hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,sK289(U_1912)),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,sK290(U_1912)),sK291(U_1912)))
      & is_bop(sK289(U_1912)) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK291]),skolemize(U_1909,sK291(U_1912))],[f_367_5]) ).

cnf(f_367_7,plain,
    is_bop(sK289(U_1912)),
    inference(clausify,[status(thm)],[f_367_6]) ).

cnf(f_367_8,plain,
    U_1912 = hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,sK289(U_1912)),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,sK290(U_1912)),sK291(U_1912))),
    inference(clausify,[status(thm)],[f_367_6]) ).

fof(f_368_1,plain,
    ! [Y_2] :
    ? [A_1,B_2,C_4] : Y_2 = hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A_1),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,B_2),C_4)),
    inference(fof_nnf,[status(thm)],[fact_226_prod__cases3]) ).

fof(f_368_2,plain,
    ! [U_1916] :
    ? [U_1915,U_1914,U_1913] : U_1916 = hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_1915),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_1914),U_1913)),
    inference(variable_rename,[status(thm)],[f_368_1]) ).

fof(f_368_3,plain,
    ! [U_1916] :
    ? [U_1914,U_1913] : U_1916 = hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,sK292(U_1916)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_1914),U_1913)),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK292]),skolemize(U_1915,sK292(U_1916))],[f_368_2]) ).

fof(f_368_4,plain,
    ! [U_1916] :
    ? [U_1913] : U_1916 = hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,sK292(U_1916)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,sK293(U_1916)),U_1913)),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK293]),skolemize(U_1914,sK293(U_1916))],[f_368_3]) ).

fof(f_368_5,plain,
    ! [U_1916] : U_1916 = hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,sK292(U_1916)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,sK293(U_1916)),sK294(U_1916))),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK294]),skolemize(U_1913,sK294(U_1916))],[f_368_4]) ).

cnf(f_368_6,plain,
    U_1916 = hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,sK292(U_1916)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,sK293(U_1916)),sK294(U_1916))),
    inference(clausify,[status(thm)],[f_368_5]) ).

fof(f_369_1,plain,
    ! [Y_2] :
    ? [A_1,B_2,C_4] : Y_2 = hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,A_1),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,B_2),C_4)),
    inference(fof_nnf,[status(thm)],[fact_227_prod__cases3]) ).

fof(f_369_2,plain,
    ! [U_1920] :
    ? [U_1919,U_1918,U_1917] : U_1920 = hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_1919),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_1918),U_1917)),
    inference(variable_rename,[status(thm)],[f_369_1]) ).

fof(f_369_3,plain,
    ! [U_1920] :
    ? [U_1918,U_1917] : U_1920 = hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,sK295(U_1920)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_1918),U_1917)),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK295]),skolemize(U_1919,sK295(U_1920))],[f_369_2]) ).

fof(f_369_4,plain,
    ! [U_1920] :
    ? [U_1917] : U_1920 = hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,sK295(U_1920)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK296(U_1920)),U_1917)),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK296]),skolemize(U_1918,sK296(U_1920))],[f_369_3]) ).

fof(f_369_5,plain,
    ! [U_1920] : U_1920 = hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,sK295(U_1920)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK296(U_1920)),sK297(U_1920))),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK297]),skolemize(U_1917,sK297(U_1920))],[f_369_4]) ).

cnf(f_369_6,plain,
    U_1920 = hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,sK295(U_1920)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK296(U_1920)),sK297(U_1920))),
    inference(clausify,[status(thm)],[f_369_5]) ).

fof(f_370_1,plain,
    ! [Y_5] :
    ? [A_1,B_2,C_4] : Y_5 = hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,A_1),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,B_2),C_4)),
    inference(fof_nnf,[status(thm)],[fact_228_prod__cases3]) ).

fof(f_370_2,plain,
    ! [U_1924] :
    ? [U_1923,U_1922,U_1921] : U_1924 = hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_1923),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_1922),U_1921)),
    inference(variable_rename,[status(thm)],[f_370_1]) ).

fof(f_370_3,plain,
    ! [U_1924] :
    ? [U_1922,U_1921] : U_1924 = hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,sK298(U_1924)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_1922),U_1921)),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK298]),skolemize(U_1923,sK298(U_1924))],[f_370_2]) ).

fof(f_370_4,plain,
    ! [U_1924] :
    ? [U_1921] : U_1924 = hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,sK298(U_1924)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,sK299(U_1924)),U_1921)),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK299]),skolemize(U_1922,sK299(U_1924))],[f_370_3]) ).

fof(f_370_5,plain,
    ! [U_1924] : U_1924 = hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,sK298(U_1924)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,sK299(U_1924)),sK300(U_1924))),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK300]),skolemize(U_1921,sK300(U_1924))],[f_370_4]) ).

cnf(f_370_6,plain,
    U_1924 = hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,sK298(U_1924)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,sK299(U_1924)),sK300(U_1924))),
    inference(clausify,[status(thm)],[f_370_5]) ).

fof(f_371_1,plain,
    ! [Y_5] :
    ? [A_1,B_2,C_4] : Y_5 = hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,A_1),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,B_2),C_4)),
    inference(fof_nnf,[status(thm)],[fact_229_prod__cases3]) ).

fof(f_371_2,plain,
    ! [U_1928] :
    ? [U_1927,U_1926,U_1925] : U_1928 = hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_1927),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_1926),U_1925)),
    inference(variable_rename,[status(thm)],[f_371_1]) ).

fof(f_371_3,plain,
    ! [U_1928] :
    ? [U_1926,U_1925] : U_1928 = hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,sK301(U_1928)),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_1926),U_1925)),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK301]),skolemize(U_1927,sK301(U_1928))],[f_371_2]) ).

fof(f_371_4,plain,
    ! [U_1928] :
    ? [U_1925] : U_1928 = hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,sK301(U_1928)),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,sK302(U_1928)),U_1925)),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK302]),skolemize(U_1926,sK302(U_1928))],[f_371_3]) ).

fof(f_371_5,plain,
    ! [U_1928] : U_1928 = hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,sK301(U_1928)),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,sK302(U_1928)),sK303(U_1928))),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK303]),skolemize(U_1925,sK303(U_1928))],[f_371_4]) ).

cnf(f_371_6,plain,
    U_1928 = hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,sK301(U_1928)),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,sK302(U_1928)),sK303(U_1928))),
    inference(clausify,[status(thm)],[f_371_5]) ).

fof(f_372_1,plain,
    ! [Y_5] :
    ? [A_1,B_2,C_4] : Y_5 = hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,A_1),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,B_2),C_4)),
    inference(fof_nnf,[status(thm)],[fact_230_prod__cases3]) ).

fof(f_372_2,plain,
    ! [U_1932] :
    ? [U_1931,U_1930,U_1929] : U_1932 = hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_1931),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_1930),U_1929)),
    inference(variable_rename,[status(thm)],[f_372_1]) ).

fof(f_372_3,plain,
    ! [U_1932] :
    ? [U_1930,U_1929] : U_1932 = hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,sK304(U_1932)),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_1930),U_1929)),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK304]),skolemize(U_1931,sK304(U_1932))],[f_372_2]) ).

fof(f_372_4,plain,
    ! [U_1932] :
    ? [U_1929] : U_1932 = hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,sK304(U_1932)),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,sK305(U_1932)),U_1929)),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK305]),skolemize(U_1930,sK305(U_1932))],[f_372_3]) ).

fof(f_372_5,plain,
    ! [U_1932] : U_1932 = hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,sK304(U_1932)),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,sK305(U_1932)),sK306(U_1932))),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK306]),skolemize(U_1929,sK306(U_1932))],[f_372_4]) ).

cnf(f_372_6,plain,
    U_1932 = hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,sK304(U_1932)),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,sK305(U_1932)),sK306(U_1932))),
    inference(clausify,[status(thm)],[f_372_5]) ).

fof(f_373_1,plain,
    ! [Y_5] :
    ? [A_1,B_2,C_4] : Y_5 = hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,A_1),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,B_2),C_4)),
    inference(fof_nnf,[status(thm)],[fact_231_prod__cases3]) ).

fof(f_373_2,plain,
    ! [U_1936] :
    ? [U_1935,U_1934,U_1933] : U_1936 = hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_1935),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_1934),U_1933)),
    inference(variable_rename,[status(thm)],[f_373_1]) ).

fof(f_373_3,plain,
    ! [U_1936] :
    ? [U_1934,U_1933] : U_1936 = hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,sK307(U_1936)),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_1934),U_1933)),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK307]),skolemize(U_1935,sK307(U_1936))],[f_373_2]) ).

fof(f_373_4,plain,
    ! [U_1936] :
    ? [U_1933] : U_1936 = hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,sK307(U_1936)),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,sK308(U_1936)),U_1933)),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK308]),skolemize(U_1934,sK308(U_1936))],[f_373_3]) ).

fof(f_373_5,plain,
    ! [U_1936] : U_1936 = hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,sK307(U_1936)),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,sK308(U_1936)),sK309(U_1936))),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK309]),skolemize(U_1933,sK309(U_1936))],[f_373_4]) ).

cnf(f_373_6,plain,
    U_1936 = hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,sK307(U_1936)),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,sK308(U_1936)),sK309(U_1936))),
    inference(clausify,[status(thm)],[f_373_5]) ).

fof(f_374_1,plain,
    ! [Y_2] :
    ? [A_1,B_2,C_4] : Y_2 = hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,A_1),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,B_2),C_4)),
    inference(fof_nnf,[status(thm)],[fact_232_prod__cases3]) ).

fof(f_374_2,plain,
    ! [U_1940] :
    ? [U_1939,U_1938,U_1937] : U_1940 = hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,U_1939),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_1938),U_1937)),
    inference(variable_rename,[status(thm)],[f_374_1]) ).

fof(f_374_3,plain,
    ! [U_1940] :
    ? [U_1938,U_1937] : U_1940 = hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,sK310(U_1940)),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_1938),U_1937)),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK310]),skolemize(U_1939,sK310(U_1940))],[f_374_2]) ).

fof(f_374_4,plain,
    ! [U_1940] :
    ? [U_1937] : U_1940 = hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,sK310(U_1940)),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK311(U_1940)),U_1937)),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK311]),skolemize(U_1938,sK311(U_1940))],[f_374_3]) ).

fof(f_374_5,plain,
    ! [U_1940] : U_1940 = hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,sK310(U_1940)),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK311(U_1940)),sK312(U_1940))),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK312]),skolemize(U_1937,sK312(U_1940))],[f_374_4]) ).

cnf(f_374_6,plain,
    U_1940 = hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,sK310(U_1940)),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK311(U_1940)),sK312(U_1940))),
    inference(clausify,[status(thm)],[f_374_5]) ).

fof(f_375_1,plain,
    ! [Y_2] :
    ? [A_1,B_2,C_4] : Y_2 = hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,A_1),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,B_2),C_4)),
    inference(fof_nnf,[status(thm)],[fact_233_prod__cases3]) ).

fof(f_375_2,plain,
    ! [U_1944] :
    ? [U_1943,U_1942,U_1941] : U_1944 = hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,U_1943),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_1942),U_1941)),
    inference(variable_rename,[status(thm)],[f_375_1]) ).

fof(f_375_3,plain,
    ! [U_1944] :
    ? [U_1942,U_1941] : U_1944 = hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,sK313(U_1944)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_1942),U_1941)),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK313]),skolemize(U_1943,sK313(U_1944))],[f_375_2]) ).

fof(f_375_4,plain,
    ! [U_1944] :
    ? [U_1941] : U_1944 = hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,sK313(U_1944)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK314(U_1944)),U_1941)),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK314]),skolemize(U_1942,sK314(U_1944))],[f_375_3]) ).

fof(f_375_5,plain,
    ! [U_1944] : U_1944 = hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,sK313(U_1944)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK314(U_1944)),sK315(U_1944))),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK315]),skolemize(U_1941,sK315(U_1944))],[f_375_4]) ).

cnf(f_375_6,plain,
    U_1944 = hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,sK313(U_1944)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK314(U_1944)),sK315(U_1944))),
    inference(clausify,[status(thm)],[f_375_5]) ).

fof(f_376_1,plain,
    ! [Y_2] :
    ? [A_1,B_2,C_4] : Y_2 = hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,A_1),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,B_2),C_4)),
    inference(fof_nnf,[status(thm)],[fact_234_prod__cases3]) ).

fof(f_376_2,plain,
    ! [U_1948] :
    ? [U_1947,U_1946,U_1945] : U_1948 = hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,U_1947),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_1946),U_1945)),
    inference(variable_rename,[status(thm)],[f_376_1]) ).

fof(f_376_3,plain,
    ! [U_1948] :
    ? [U_1946,U_1945] : U_1948 = hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,sK316(U_1948)),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_1946),U_1945)),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK316]),skolemize(U_1947,sK316(U_1948))],[f_376_2]) ).

fof(f_376_4,plain,
    ! [U_1948] :
    ? [U_1945] : U_1948 = hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,sK316(U_1948)),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,sK317(U_1948)),U_1945)),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK317]),skolemize(U_1946,sK317(U_1948))],[f_376_3]) ).

fof(f_376_5,plain,
    ! [U_1948] : U_1948 = hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,sK316(U_1948)),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,sK317(U_1948)),sK318(U_1948))),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK318]),skolemize(U_1945,sK318(U_1948))],[f_376_4]) ).

cnf(f_376_6,plain,
    U_1948 = hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,sK316(U_1948)),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,sK317(U_1948)),sK318(U_1948))),
    inference(clausify,[status(thm)],[f_376_5]) ).

fof(f_377_1,plain,
    ! [Y_5] :
    ? [A_1,B_2,C_4] : Y_5 = hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,A_1),hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,B_2),C_4)),
    inference(fof_nnf,[status(thm)],[fact_235_prod__cases3]) ).

fof(f_377_2,plain,
    ! [U_1952] :
    ? [U_1951,U_1950,U_1949] : U_1952 = hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,U_1951),hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_1950),U_1949)),
    inference(variable_rename,[status(thm)],[f_377_1]) ).

fof(f_377_3,plain,
    ! [U_1952] :
    ? [U_1950,U_1949] : U_1952 = hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,sK319(U_1952)),hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_1950),U_1949)),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK319]),skolemize(U_1951,sK319(U_1952))],[f_377_2]) ).

fof(f_377_4,plain,
    ! [U_1952] :
    ? [U_1949] : U_1952 = hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,sK319(U_1952)),hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,sK320(U_1952)),U_1949)),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK320]),skolemize(U_1950,sK320(U_1952))],[f_377_3]) ).

fof(f_377_5,plain,
    ! [U_1952] : U_1952 = hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,sK319(U_1952)),hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,sK320(U_1952)),sK321(U_1952))),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK321]),skolemize(U_1949,sK321(U_1952))],[f_377_4]) ).

cnf(f_377_6,plain,
    U_1952 = hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,sK319(U_1952)),hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,sK320(U_1952)),sK321(U_1952))),
    inference(clausify,[status(thm)],[f_377_5]) ).

fof(f_378_1,plain,
    ! [Y_5] :
    ? [A_1,B_2,C_4] :
      ( Y_5 = hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,A_1),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,B_2),C_4))
      & is_bop(B_2) ),
    inference(fof_nnf,[status(thm)],[fact_236_prod__cases3]) ).

fof(f_378_2,plain,
    ! [U_1956] :
    ? [U_1955,U_1954,U_1953] :
      ( U_1956 = hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,U_1955),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_1954),U_1953))
      & is_bop(U_1954) ),
    inference(variable_rename,[status(thm)],[f_378_1]) ).

fof(f_378_3,plain,
    ! [U_1956] :
    ? [U_1955,U_1954] :
      ( ? [U_1953] : U_1956 = hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,U_1955),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_1954),U_1953))
      & is_bop(U_1954) ),
    inference(miniscope,[status(thm)],[f_378_2]) ).

fof(f_378_4,plain,
    ! [U_1956] :
    ? [U_1954] :
      ( ? [U_1953] : U_1956 = hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,sK322(U_1956)),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_1954),U_1953))
      & is_bop(U_1954) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK322]),skolemize(U_1955,sK322(U_1956))],[f_378_3]) ).

fof(f_378_5,plain,
    ! [U_1956] :
      ( ? [U_1953] : U_1956 = hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,sK322(U_1956)),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,sK323(U_1956)),U_1953))
      & is_bop(sK323(U_1956)) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK323]),skolemize(U_1954,sK323(U_1956))],[f_378_4]) ).

fof(f_378_6,plain,
    ! [U_1956] :
      ( U_1956 = hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,sK322(U_1956)),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,sK323(U_1956)),sK324(U_1956)))
      & is_bop(sK323(U_1956)) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK324]),skolemize(U_1953,sK324(U_1956))],[f_378_5]) ).

cnf(f_378_7,plain,
    is_bop(sK323(U_1956)),
    inference(clausify,[status(thm)],[f_378_6]) ).

cnf(f_378_8,plain,
    U_1956 = hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,sK322(U_1956)),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,sK323(U_1956)),sK324(U_1956))),
    inference(clausify,[status(thm)],[f_378_6]) ).

fof(f_379_1,plain,
    ! [Y_5] :
    ? [A_1,B_2,C_4] : Y_5 = hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,A_1),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,B_2),C_4)),
    inference(fof_nnf,[status(thm)],[fact_237_prod__cases3]) ).

fof(f_379_2,plain,
    ! [U_1960] :
    ? [U_1959,U_1958,U_1957] : U_1960 = hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,U_1959),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_1958),U_1957)),
    inference(variable_rename,[status(thm)],[f_379_1]) ).

fof(f_379_3,plain,
    ! [U_1960] :
    ? [U_1958,U_1957] : U_1960 = hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,sK325(U_1960)),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_1958),U_1957)),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK325]),skolemize(U_1959,sK325(U_1960))],[f_379_2]) ).

fof(f_379_4,plain,
    ! [U_1960] :
    ? [U_1957] : U_1960 = hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,sK325(U_1960)),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,sK326(U_1960)),U_1957)),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK326]),skolemize(U_1958,sK326(U_1960))],[f_379_3]) ).

fof(f_379_5,plain,
    ! [U_1960] : U_1960 = hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,sK325(U_1960)),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,sK326(U_1960)),sK327(U_1960))),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK327]),skolemize(U_1957,sK327(U_1960))],[f_379_4]) ).

cnf(f_379_6,plain,
    U_1960 = hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,sK325(U_1960)),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,sK326(U_1960)),sK327(U_1960))),
    inference(clausify,[status(thm)],[f_379_5]) ).

fof(f_380_1,plain,
    ! [Y_2] :
    ? [A_1,B_2,C_4] : Y_2 = hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,A_1),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,B_2),C_4)),
    inference(fof_nnf,[status(thm)],[fact_238_prod__cases3]) ).

fof(f_380_2,plain,
    ! [U_1964] :
    ? [U_1963,U_1962,U_1961] : U_1964 = hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,U_1963),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_1962),U_1961)),
    inference(variable_rename,[status(thm)],[f_380_1]) ).

fof(f_380_3,plain,
    ! [U_1964] :
    ? [U_1962,U_1961] : U_1964 = hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,sK328(U_1964)),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_1962),U_1961)),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK328]),skolemize(U_1963,sK328(U_1964))],[f_380_2]) ).

fof(f_380_4,plain,
    ! [U_1964] :
    ? [U_1961] : U_1964 = hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,sK328(U_1964)),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,sK329(U_1964)),U_1961)),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK329]),skolemize(U_1962,sK329(U_1964))],[f_380_3]) ).

fof(f_380_5,plain,
    ! [U_1964] : U_1964 = hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,sK328(U_1964)),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,sK329(U_1964)),sK330(U_1964))),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK330]),skolemize(U_1961,sK330(U_1964))],[f_380_4]) ).

cnf(f_380_6,plain,
    U_1964 = hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,sK328(U_1964)),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,sK329(U_1964)),sK330(U_1964))),
    inference(clausify,[status(thm)],[f_380_5]) ).

fof(f_381_1,plain,
    ! [Y_5] :
    ? [A_1,B_2,C_4] : Y_5 = hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,A_1),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,B_2),C_4)),
    inference(fof_nnf,[status(thm)],[fact_239_prod__cases3]) ).

fof(f_381_2,plain,
    ! [U_1968] :
    ? [U_1967,U_1966,U_1965] : U_1968 = hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,U_1967),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_1966),U_1965)),
    inference(variable_rename,[status(thm)],[f_381_1]) ).

fof(f_381_3,plain,
    ! [U_1968] :
    ? [U_1966,U_1965] : U_1968 = hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,sK331(U_1968)),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_1966),U_1965)),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK331]),skolemize(U_1967,sK331(U_1968))],[f_381_2]) ).

fof(f_381_4,plain,
    ! [U_1968] :
    ? [U_1965] : U_1968 = hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,sK331(U_1968)),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,sK332(U_1968)),U_1965)),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK332]),skolemize(U_1966,sK332(U_1968))],[f_381_3]) ).

fof(f_381_5,plain,
    ! [U_1968] : U_1968 = hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,sK331(U_1968)),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,sK332(U_1968)),sK333(U_1968))),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK333]),skolemize(U_1965,sK333(U_1968))],[f_381_4]) ).

cnf(f_381_6,plain,
    U_1968 = hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,sK331(U_1968)),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,sK332(U_1968)),sK333(U_1968))),
    inference(clausify,[status(thm)],[f_381_5]) ).

fof(f_382_1,plain,
    ! [Y_5] :
    ? [A_1,B_2,C_4] : Y_5 = hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,A_1),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,B_2),C_4)),
    inference(fof_nnf,[status(thm)],[fact_240_prod__cases3]) ).

fof(f_382_2,plain,
    ! [U_1972] :
    ? [U_1971,U_1970,U_1969] : U_1972 = hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,U_1971),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_1970),U_1969)),
    inference(variable_rename,[status(thm)],[f_382_1]) ).

fof(f_382_3,plain,
    ! [U_1972] :
    ? [U_1970,U_1969] : U_1972 = hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,sK334(U_1972)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_1970),U_1969)),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK334]),skolemize(U_1971,sK334(U_1972))],[f_382_2]) ).

fof(f_382_4,plain,
    ! [U_1972] :
    ? [U_1969] : U_1972 = hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,sK334(U_1972)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,sK335(U_1972)),U_1969)),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK335]),skolemize(U_1970,sK335(U_1972))],[f_382_3]) ).

fof(f_382_5,plain,
    ! [U_1972] : U_1972 = hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,sK334(U_1972)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,sK335(U_1972)),sK336(U_1972))),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK336]),skolemize(U_1969,sK336(U_1972))],[f_382_4]) ).

cnf(f_382_6,plain,
    U_1972 = hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,sK334(U_1972)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,sK335(U_1972)),sK336(U_1972))),
    inference(clausify,[status(thm)],[f_382_5]) ).

fof(f_383_1,plain,
    ! [Y_5] :
    ? [A_1,B_2,C_4] : Y_5 = hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,A_1),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,B_2),C_4)),
    inference(fof_nnf,[status(thm)],[fact_241_prod__cases3]) ).

fof(f_383_2,plain,
    ! [U_1976] :
    ? [U_1975,U_1974,U_1973] : U_1976 = hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,U_1975),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_1974),U_1973)),
    inference(variable_rename,[status(thm)],[f_383_1]) ).

fof(f_383_3,plain,
    ! [U_1976] :
    ? [U_1974,U_1973] : U_1976 = hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,sK337(U_1976)),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_1974),U_1973)),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK337]),skolemize(U_1975,sK337(U_1976))],[f_383_2]) ).

fof(f_383_4,plain,
    ! [U_1976] :
    ? [U_1973] : U_1976 = hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,sK337(U_1976)),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,sK338(U_1976)),U_1973)),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK338]),skolemize(U_1974,sK338(U_1976))],[f_383_3]) ).

fof(f_383_5,plain,
    ! [U_1976] : U_1976 = hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,sK337(U_1976)),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,sK338(U_1976)),sK339(U_1976))),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK339]),skolemize(U_1973,sK339(U_1976))],[f_383_4]) ).

cnf(f_383_6,plain,
    U_1976 = hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,sK337(U_1976)),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,sK338(U_1976)),sK339(U_1976))),
    inference(clausify,[status(thm)],[f_383_5]) ).

fof(f_384_1,plain,
    ! [Y_5] :
    ? [A_1,B_2,C_4] : Y_5 = hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,A_1),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,B_2),C_4)),
    inference(fof_nnf,[status(thm)],[fact_242_prod__cases3]) ).

fof(f_384_2,plain,
    ! [U_1980] :
    ? [U_1979,U_1978,U_1977] : U_1980 = hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,U_1979),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_1978),U_1977)),
    inference(variable_rename,[status(thm)],[f_384_1]) ).

fof(f_384_3,plain,
    ! [U_1980] :
    ? [U_1978,U_1977] : U_1980 = hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,sK340(U_1980)),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_1978),U_1977)),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK340]),skolemize(U_1979,sK340(U_1980))],[f_384_2]) ).

fof(f_384_4,plain,
    ! [U_1980] :
    ? [U_1977] : U_1980 = hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,sK340(U_1980)),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,sK341(U_1980)),U_1977)),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK341]),skolemize(U_1978,sK341(U_1980))],[f_384_3]) ).

fof(f_384_5,plain,
    ! [U_1980] : U_1980 = hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,sK340(U_1980)),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,sK341(U_1980)),sK342(U_1980))),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK342]),skolemize(U_1977,sK342(U_1980))],[f_384_4]) ).

cnf(f_384_6,plain,
    U_1980 = hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,sK340(U_1980)),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,sK341(U_1980)),sK342(U_1980))),
    inference(clausify,[status(thm)],[f_384_5]) ).

fof(f_385_1,plain,
    ! [Y_5] :
    ? [A_1,B_2,C_4] : Y_5 = hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,A_1),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,B_2),C_4)),
    inference(fof_nnf,[status(thm)],[fact_243_prod__cases3]) ).

fof(f_385_2,plain,
    ! [U_1984] :
    ? [U_1983,U_1982,U_1981] : U_1984 = hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,U_1983),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_1982),U_1981)),
    inference(variable_rename,[status(thm)],[f_385_1]) ).

fof(f_385_3,plain,
    ! [U_1984] :
    ? [U_1982,U_1981] : U_1984 = hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,sK343(U_1984)),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_1982),U_1981)),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK343]),skolemize(U_1983,sK343(U_1984))],[f_385_2]) ).

fof(f_385_4,plain,
    ! [U_1984] :
    ? [U_1981] : U_1984 = hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,sK343(U_1984)),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,sK344(U_1984)),U_1981)),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK344]),skolemize(U_1982,sK344(U_1984))],[f_385_3]) ).

fof(f_385_5,plain,
    ! [U_1984] : U_1984 = hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,sK343(U_1984)),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,sK344(U_1984)),sK345(U_1984))),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK345]),skolemize(U_1981,sK345(U_1984))],[f_385_4]) ).

cnf(f_385_6,plain,
    U_1984 = hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,sK343(U_1984)),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,sK344(U_1984)),sK345(U_1984))),
    inference(clausify,[status(thm)],[f_385_5]) ).

fof(f_386_1,plain,
    ! [Y_5] :
    ? [A_1,B_2,C_4] : Y_5 = hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,A_1),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,B_2),C_4)),
    inference(fof_nnf,[status(thm)],[fact_244_prod__cases3]) ).

fof(f_386_2,plain,
    ! [U_1988] :
    ? [U_1987,U_1986,U_1985] : U_1988 = hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,U_1987),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_1986),U_1985)),
    inference(variable_rename,[status(thm)],[f_386_1]) ).

fof(f_386_3,plain,
    ! [U_1988] :
    ? [U_1986,U_1985] : U_1988 = hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,sK346(U_1988)),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_1986),U_1985)),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK346]),skolemize(U_1987,sK346(U_1988))],[f_386_2]) ).

fof(f_386_4,plain,
    ! [U_1988] :
    ? [U_1985] : U_1988 = hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,sK346(U_1988)),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,sK347(U_1988)),U_1985)),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK347]),skolemize(U_1986,sK347(U_1988))],[f_386_3]) ).

fof(f_386_5,plain,
    ! [U_1988] : U_1988 = hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,sK346(U_1988)),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,sK347(U_1988)),sK348(U_1988))),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK348]),skolemize(U_1985,sK348(U_1988))],[f_386_4]) ).

cnf(f_386_6,plain,
    U_1988 = hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,sK346(U_1988)),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,sK347(U_1988)),sK348(U_1988))),
    inference(clausify,[status(thm)],[f_386_5]) ).

fof(f_387_1,plain,
    ! [Y_5] :
    ? [A_1,B_2,C_4] : Y_5 = hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,A_1),hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,B_2),C_4)),
    inference(fof_nnf,[status(thm)],[fact_245_prod__cases3]) ).

fof(f_387_2,plain,
    ! [U_1992] :
    ? [U_1991,U_1990,U_1989] : U_1992 = hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,U_1991),hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_1990),U_1989)),
    inference(variable_rename,[status(thm)],[f_387_1]) ).

fof(f_387_3,plain,
    ! [U_1992] :
    ? [U_1990,U_1989] : U_1992 = hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,sK349(U_1992)),hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_1990),U_1989)),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK349]),skolemize(U_1991,sK349(U_1992))],[f_387_2]) ).

fof(f_387_4,plain,
    ! [U_1992] :
    ? [U_1989] : U_1992 = hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,sK349(U_1992)),hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,sK350(U_1992)),U_1989)),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK350]),skolemize(U_1990,sK350(U_1992))],[f_387_3]) ).

fof(f_387_5,plain,
    ! [U_1992] : U_1992 = hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,sK349(U_1992)),hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,sK350(U_1992)),sK351(U_1992))),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK351]),skolemize(U_1989,sK351(U_1992))],[f_387_4]) ).

cnf(f_387_6,plain,
    U_1992 = hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,sK349(U_1992)),hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,sK350(U_1992)),sK351(U_1992))),
    inference(clausify,[status(thm)],[f_387_5]) ).

fof(f_388_1,plain,
    ! [X_2,Pa] :
      ( hBOOL(hAPP_P1384137393r_bool(Pa,X_2))
      | ? [A_1,B_2,C_4] : ~ hBOOL(hAPP_P1384137393r_bool(Pa,hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,A_1),hAPP_P976433298t_char(hAPP_l2048923787t_char(produc2016959032t_char,B_2),C_4)))) ),
    inference(fof_nnf,[status(thm)],[fact_246_prod__induct3]) ).

fof(f_388_2,plain,
    ! [U_1997,U_1996] :
      ( hBOOL(hAPP_P1384137393r_bool(U_1996,U_1997))
      | ? [U_1995,U_1994,U_1993] : ~ hBOOL(hAPP_P1384137393r_bool(U_1996,hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,U_1995),hAPP_P976433298t_char(hAPP_l2048923787t_char(produc2016959032t_char,U_1994),U_1993)))) ),
    inference(variable_rename,[status(thm)],[f_388_1]) ).

fof(f_388_3,plain,
    ! [U_1997,U_1996] :
      ( hBOOL(hAPP_P1384137393r_bool(U_1996,U_1997))
      | ? [U_1994,U_1993] : ~ hBOOL(hAPP_P1384137393r_bool(U_1996,hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,sK352(U_1997,U_1996)),hAPP_P976433298t_char(hAPP_l2048923787t_char(produc2016959032t_char,U_1994),U_1993)))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK352]),skolemize(U_1995,sK352(U_1997,U_1996))],[f_388_2]) ).

fof(f_388_4,plain,
    ! [U_1997,U_1996] :
      ( hBOOL(hAPP_P1384137393r_bool(U_1996,U_1997))
      | ? [U_1993] : ~ hBOOL(hAPP_P1384137393r_bool(U_1996,hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,sK352(U_1997,U_1996)),hAPP_P976433298t_char(hAPP_l2048923787t_char(produc2016959032t_char,sK353(U_1997,U_1996)),U_1993)))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK353]),skolemize(U_1994,sK353(U_1997,U_1996))],[f_388_3]) ).

fof(f_388_5,plain,
    ! [U_1997,U_1996] :
      ( hBOOL(hAPP_P1384137393r_bool(U_1996,U_1997))
      | ~ hBOOL(hAPP_P1384137393r_bool(U_1996,hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,sK352(U_1997,U_1996)),hAPP_P976433298t_char(hAPP_l2048923787t_char(produc2016959032t_char,sK353(U_1997,U_1996)),sK354(U_1997,U_1996))))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK354]),skolemize(U_1993,sK354(U_1997,U_1996))],[f_388_4]) ).

cnf(f_388_6,plain,
    ( hBOOL(hAPP_P1384137393r_bool(U_1996,U_1997))
    | ~ hBOOL(hAPP_P1384137393r_bool(U_1996,hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,sK352(U_1997,U_1996)),hAPP_P976433298t_char(hAPP_l2048923787t_char(produc2016959032t_char,sK353(U_1997,U_1996)),sK354(U_1997,U_1996))))) ),
    inference(clausify,[status(thm)],[f_388_5]) ).

fof(f_389_1,plain,
    ! [X_2,Pa] :
      ( hBOOL(hAPP_P282169671l_bool(Pa,X_2))
      | ? [A_1,B_2,C_4] : ~ hBOOL(hAPP_P282169671l_bool(Pa,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_1),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,B_2),C_4)))) ),
    inference(fof_nnf,[status(thm)],[fact_247_prod__induct3]) ).

fof(f_389_2,plain,
    ! [U_2002,U_2001] :
      ( hBOOL(hAPP_P282169671l_bool(U_2001,U_2002))
      | ? [U_2000,U_1999,U_1998] : ~ hBOOL(hAPP_P282169671l_bool(U_2001,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_2000),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_1999),U_1998)))) ),
    inference(variable_rename,[status(thm)],[f_389_1]) ).

fof(f_389_3,plain,
    ! [U_2002,U_2001] :
      ( hBOOL(hAPP_P282169671l_bool(U_2001,U_2002))
      | ? [U_1999,U_1998] : ~ hBOOL(hAPP_P282169671l_bool(U_2001,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK355(U_2002,U_2001)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_1999),U_1998)))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK355]),skolemize(U_2000,sK355(U_2002,U_2001))],[f_389_2]) ).

fof(f_389_4,plain,
    ! [U_2002,U_2001] :
      ( hBOOL(hAPP_P282169671l_bool(U_2001,U_2002))
      | ? [U_1998] : ~ hBOOL(hAPP_P282169671l_bool(U_2001,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK355(U_2002,U_2001)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK356(U_2002,U_2001)),U_1998)))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK356]),skolemize(U_1999,sK356(U_2002,U_2001))],[f_389_3]) ).

fof(f_389_5,plain,
    ! [U_2002,U_2001] :
      ( hBOOL(hAPP_P282169671l_bool(U_2001,U_2002))
      | ~ hBOOL(hAPP_P282169671l_bool(U_2001,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK355(U_2002,U_2001)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK356(U_2002,U_2001)),sK357(U_2002,U_2001))))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK357]),skolemize(U_1998,sK357(U_2002,U_2001))],[f_389_4]) ).

cnf(f_389_6,plain,
    ( hBOOL(hAPP_P282169671l_bool(U_2001,U_2002))
    | ~ hBOOL(hAPP_P282169671l_bool(U_2001,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK355(U_2002,U_2001)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK356(U_2002,U_2001)),sK357(U_2002,U_2001))))) ),
    inference(clausify,[status(thm)],[f_389_5]) ).

fof(f_390_1,plain,
    ! [X_2,Pa] :
      ( hBOOL(hAPP_P1708370145l_bool(Pa,X_2))
      | ? [A_1,B_2,C_4] : ~ hBOOL(hAPP_P1708370145l_bool(Pa,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A_1),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,B_2),C_4)))) ),
    inference(fof_nnf,[status(thm)],[fact_248_prod__induct3]) ).

fof(f_390_2,plain,
    ! [U_2007,U_2006] :
      ( hBOOL(hAPP_P1708370145l_bool(U_2006,U_2007))
      | ? [U_2005,U_2004,U_2003] : ~ hBOOL(hAPP_P1708370145l_bool(U_2006,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_2005),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_2004),U_2003)))) ),
    inference(variable_rename,[status(thm)],[f_390_1]) ).

fof(f_390_3,plain,
    ! [U_2007,U_2006] :
      ( hBOOL(hAPP_P1708370145l_bool(U_2006,U_2007))
      | ? [U_2004,U_2003] : ~ hBOOL(hAPP_P1708370145l_bool(U_2006,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK358(U_2007,U_2006)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_2004),U_2003)))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK358]),skolemize(U_2005,sK358(U_2007,U_2006))],[f_390_2]) ).

fof(f_390_4,plain,
    ! [U_2007,U_2006] :
      ( hBOOL(hAPP_P1708370145l_bool(U_2006,U_2007))
      | ? [U_2003] : ~ hBOOL(hAPP_P1708370145l_bool(U_2006,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK358(U_2007,U_2006)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK359(U_2007,U_2006)),U_2003)))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK359]),skolemize(U_2004,sK359(U_2007,U_2006))],[f_390_3]) ).

fof(f_390_5,plain,
    ! [U_2007,U_2006] :
      ( hBOOL(hAPP_P1708370145l_bool(U_2006,U_2007))
      | ~ hBOOL(hAPP_P1708370145l_bool(U_2006,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK358(U_2007,U_2006)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK359(U_2007,U_2006)),sK360(U_2007,U_2006))))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK360]),skolemize(U_2003,sK360(U_2007,U_2006))],[f_390_4]) ).

cnf(f_390_6,plain,
    ( hBOOL(hAPP_P1708370145l_bool(U_2006,U_2007))
    | ~ hBOOL(hAPP_P1708370145l_bool(U_2006,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK358(U_2007,U_2006)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK359(U_2007,U_2006)),sK360(U_2007,U_2006))))) ),
    inference(clausify,[status(thm)],[f_390_5]) ).

fof(f_391_1,plain,
    ! [X_2,Pa] :
      ( hBOOL(hAPP_P943837928l_bool(Pa,X_2))
      | ? [A_1,B_2,C_4] :
          ( ~ hBOOL(hAPP_P943837928l_bool(Pa,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,A_1),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,B_2),C_4))))
          & is_bop(A_1) ) ),
    inference(fof_nnf,[status(thm)],[fact_249_prod__induct3]) ).

fof(f_391_2,plain,
    ! [U_2012,U_2011] :
      ( hBOOL(hAPP_P943837928l_bool(U_2011,U_2012))
      | ? [U_2010,U_2009,U_2008] :
          ( ~ hBOOL(hAPP_P943837928l_bool(U_2011,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_2010),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_2009),U_2008))))
          & is_bop(U_2010) ) ),
    inference(variable_rename,[status(thm)],[f_391_1]) ).

fof(f_391_3,plain,
    ! [U_2012,U_2011] :
      ( hBOOL(hAPP_P943837928l_bool(U_2011,U_2012))
      | ? [U_2010] :
          ( ? [U_2009,U_2008] : ~ hBOOL(hAPP_P943837928l_bool(U_2011,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_2010),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_2009),U_2008))))
          & is_bop(U_2010) ) ),
    inference(miniscope,[status(thm)],[f_391_2]) ).

fof(f_391_4,plain,
    ! [U_2012,U_2011] :
      ( hBOOL(hAPP_P943837928l_bool(U_2011,U_2012))
      | ( ? [U_2009,U_2008] : ~ hBOOL(hAPP_P943837928l_bool(U_2011,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,sK361(U_2012,U_2011)),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_2009),U_2008))))
        & is_bop(sK361(U_2012,U_2011)) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK361]),skolemize(U_2010,sK361(U_2012,U_2011))],[f_391_3]) ).

fof(f_391_5,plain,
    ! [U_2012,U_2011] :
      ( hBOOL(hAPP_P943837928l_bool(U_2011,U_2012))
      | ( ? [U_2008] : ~ hBOOL(hAPP_P943837928l_bool(U_2011,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,sK361(U_2012,U_2011)),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,sK362(U_2012,U_2011)),U_2008))))
        & is_bop(sK361(U_2012,U_2011)) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK362]),skolemize(U_2009,sK362(U_2012,U_2011))],[f_391_4]) ).

fof(f_391_6,plain,
    ! [U_2012,U_2011] :
      ( hBOOL(hAPP_P943837928l_bool(U_2011,U_2012))
      | ( ~ hBOOL(hAPP_P943837928l_bool(U_2011,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,sK361(U_2012,U_2011)),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,sK362(U_2012,U_2011)),sK363(U_2012,U_2011)))))
        & is_bop(sK361(U_2012,U_2011)) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK363]),skolemize(U_2008,sK363(U_2012,U_2011))],[f_391_5]) ).

cnf(f_391_7,plain,
    ( is_bop(sK361(U_2012,U_2011))
    | hBOOL(hAPP_P943837928l_bool(U_2011,U_2012)) ),
    inference(clausify,[status(thm)],[f_391_6]) ).

cnf(f_391_8,plain,
    ( ~ hBOOL(hAPP_P943837928l_bool(U_2011,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,sK361(U_2012,U_2011)),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,sK362(U_2012,U_2011)),sK363(U_2012,U_2011)))))
    | hBOOL(hAPP_P943837928l_bool(U_2011,U_2012)) ),
    inference(clausify,[status(thm)],[f_391_6]) ).

fof(f_392_1,plain,
    ! [X_2,Pa] :
      ( hBOOL(hAPP_P1333315679l_bool(Pa,X_2))
      | ? [A_1,B_2,C_4] : ~ hBOOL(hAPP_P1333315679l_bool(Pa,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A_1),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,B_2),C_4)))) ),
    inference(fof_nnf,[status(thm)],[fact_250_prod__induct3]) ).

fof(f_392_2,plain,
    ! [U_2017,U_2016] :
      ( hBOOL(hAPP_P1333315679l_bool(U_2016,U_2017))
      | ? [U_2015,U_2014,U_2013] : ~ hBOOL(hAPP_P1333315679l_bool(U_2016,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_2015),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_2014),U_2013)))) ),
    inference(variable_rename,[status(thm)],[f_392_1]) ).

fof(f_392_3,plain,
    ! [U_2017,U_2016] :
      ( hBOOL(hAPP_P1333315679l_bool(U_2016,U_2017))
      | ? [U_2014,U_2013] : ~ hBOOL(hAPP_P1333315679l_bool(U_2016,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,sK364(U_2017,U_2016)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_2014),U_2013)))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK364]),skolemize(U_2015,sK364(U_2017,U_2016))],[f_392_2]) ).

fof(f_392_4,plain,
    ! [U_2017,U_2016] :
      ( hBOOL(hAPP_P1333315679l_bool(U_2016,U_2017))
      | ? [U_2013] : ~ hBOOL(hAPP_P1333315679l_bool(U_2016,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,sK364(U_2017,U_2016)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,sK365(U_2017,U_2016)),U_2013)))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK365]),skolemize(U_2014,sK365(U_2017,U_2016))],[f_392_3]) ).

fof(f_392_5,plain,
    ! [U_2017,U_2016] :
      ( hBOOL(hAPP_P1333315679l_bool(U_2016,U_2017))
      | ~ hBOOL(hAPP_P1333315679l_bool(U_2016,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,sK364(U_2017,U_2016)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,sK365(U_2017,U_2016)),sK366(U_2017,U_2016))))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK366]),skolemize(U_2013,sK366(U_2017,U_2016))],[f_392_4]) ).

cnf(f_392_6,plain,
    ( hBOOL(hAPP_P1333315679l_bool(U_2016,U_2017))
    | ~ hBOOL(hAPP_P1333315679l_bool(U_2016,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,sK364(U_2017,U_2016)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,sK365(U_2017,U_2016)),sK366(U_2017,U_2016))))) ),
    inference(clausify,[status(thm)],[f_392_5]) ).

fof(f_393_1,plain,
    ! [X_2,Pa] :
      ( hBOOL(hAPP_P71593144l_bool(Pa,X_2))
      | ? [A_1,B_2,C_4] : ~ hBOOL(hAPP_P71593144l_bool(Pa,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,A_1),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,B_2),C_4)))) ),
    inference(fof_nnf,[status(thm)],[fact_251_prod__induct3]) ).

fof(f_393_2,plain,
    ! [U_2022,U_2021] :
      ( hBOOL(hAPP_P71593144l_bool(U_2021,U_2022))
      | ? [U_2020,U_2019,U_2018] : ~ hBOOL(hAPP_P71593144l_bool(U_2021,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_2020),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_2019),U_2018)))) ),
    inference(variable_rename,[status(thm)],[f_393_1]) ).

fof(f_393_3,plain,
    ! [U_2022,U_2021] :
      ( hBOOL(hAPP_P71593144l_bool(U_2021,U_2022))
      | ? [U_2019,U_2018] : ~ hBOOL(hAPP_P71593144l_bool(U_2021,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,sK367(U_2022,U_2021)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_2019),U_2018)))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK367]),skolemize(U_2020,sK367(U_2022,U_2021))],[f_393_2]) ).

fof(f_393_4,plain,
    ! [U_2022,U_2021] :
      ( hBOOL(hAPP_P71593144l_bool(U_2021,U_2022))
      | ? [U_2018] : ~ hBOOL(hAPP_P71593144l_bool(U_2021,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,sK367(U_2022,U_2021)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK368(U_2022,U_2021)),U_2018)))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK368]),skolemize(U_2019,sK368(U_2022,U_2021))],[f_393_3]) ).

fof(f_393_5,plain,
    ! [U_2022,U_2021] :
      ( hBOOL(hAPP_P71593144l_bool(U_2021,U_2022))
      | ~ hBOOL(hAPP_P71593144l_bool(U_2021,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,sK367(U_2022,U_2021)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK368(U_2022,U_2021)),sK369(U_2022,U_2021))))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK369]),skolemize(U_2018,sK369(U_2022,U_2021))],[f_393_4]) ).

cnf(f_393_6,plain,
    ( hBOOL(hAPP_P71593144l_bool(U_2021,U_2022))
    | ~ hBOOL(hAPP_P71593144l_bool(U_2021,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,sK367(U_2022,U_2021)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK368(U_2022,U_2021)),sK369(U_2022,U_2021))))) ),
    inference(clausify,[status(thm)],[f_393_5]) ).

fof(f_394_1,plain,
    ! [X_2,Pa] :
      ( hBOOL(hAPP_P92196306r_bool(Pa,X_2))
      | ? [A_1,B_2,C_4] : ~ hBOOL(hAPP_P92196306r_bool(Pa,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,A_1),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,B_2),C_4)))) ),
    inference(fof_nnf,[status(thm)],[fact_252_prod__induct3]) ).

fof(f_394_2,plain,
    ! [U_2027,U_2026] :
      ( hBOOL(hAPP_P92196306r_bool(U_2026,U_2027))
      | ? [U_2025,U_2024,U_2023] : ~ hBOOL(hAPP_P92196306r_bool(U_2026,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_2025),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_2024),U_2023)))) ),
    inference(variable_rename,[status(thm)],[f_394_1]) ).

fof(f_394_3,plain,
    ! [U_2027,U_2026] :
      ( hBOOL(hAPP_P92196306r_bool(U_2026,U_2027))
      | ? [U_2024,U_2023] : ~ hBOOL(hAPP_P92196306r_bool(U_2026,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,sK370(U_2027,U_2026)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_2024),U_2023)))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK370]),skolemize(U_2025,sK370(U_2027,U_2026))],[f_394_2]) ).

fof(f_394_4,plain,
    ! [U_2027,U_2026] :
      ( hBOOL(hAPP_P92196306r_bool(U_2026,U_2027))
      | ? [U_2023] : ~ hBOOL(hAPP_P92196306r_bool(U_2026,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,sK370(U_2027,U_2026)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,sK371(U_2027,U_2026)),U_2023)))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK371]),skolemize(U_2024,sK371(U_2027,U_2026))],[f_394_3]) ).

fof(f_394_5,plain,
    ! [U_2027,U_2026] :
      ( hBOOL(hAPP_P92196306r_bool(U_2026,U_2027))
      | ~ hBOOL(hAPP_P92196306r_bool(U_2026,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,sK370(U_2027,U_2026)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,sK371(U_2027,U_2026)),sK372(U_2027,U_2026))))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK372]),skolemize(U_2023,sK372(U_2027,U_2026))],[f_394_4]) ).

cnf(f_394_6,plain,
    ( hBOOL(hAPP_P92196306r_bool(U_2026,U_2027))
    | ~ hBOOL(hAPP_P92196306r_bool(U_2026,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,sK370(U_2027,U_2026)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,sK371(U_2027,U_2026)),sK372(U_2027,U_2026))))) ),
    inference(clausify,[status(thm)],[f_394_5]) ).

fof(f_395_1,plain,
    ! [X_2,Pa] :
      ( hBOOL(hAPP_P1907982426r_bool(Pa,X_2))
      | ? [A_1,B_2,C_4] : ~ hBOOL(hAPP_P1907982426r_bool(Pa,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,A_1),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,B_2),C_4)))) ),
    inference(fof_nnf,[status(thm)],[fact_253_prod__induct3]) ).

fof(f_395_2,plain,
    ! [U_2032,U_2031] :
      ( hBOOL(hAPP_P1907982426r_bool(U_2031,U_2032))
      | ? [U_2030,U_2029,U_2028] : ~ hBOOL(hAPP_P1907982426r_bool(U_2031,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_2030),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_2029),U_2028)))) ),
    inference(variable_rename,[status(thm)],[f_395_1]) ).

fof(f_395_3,plain,
    ! [U_2032,U_2031] :
      ( hBOOL(hAPP_P1907982426r_bool(U_2031,U_2032))
      | ? [U_2029,U_2028] : ~ hBOOL(hAPP_P1907982426r_bool(U_2031,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,sK373(U_2032,U_2031)),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_2029),U_2028)))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK373]),skolemize(U_2030,sK373(U_2032,U_2031))],[f_395_2]) ).

fof(f_395_4,plain,
    ! [U_2032,U_2031] :
      ( hBOOL(hAPP_P1907982426r_bool(U_2031,U_2032))
      | ? [U_2028] : ~ hBOOL(hAPP_P1907982426r_bool(U_2031,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,sK373(U_2032,U_2031)),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,sK374(U_2032,U_2031)),U_2028)))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK374]),skolemize(U_2029,sK374(U_2032,U_2031))],[f_395_3]) ).

fof(f_395_5,plain,
    ! [U_2032,U_2031] :
      ( hBOOL(hAPP_P1907982426r_bool(U_2031,U_2032))
      | ~ hBOOL(hAPP_P1907982426r_bool(U_2031,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,sK373(U_2032,U_2031)),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,sK374(U_2032,U_2031)),sK375(U_2032,U_2031))))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK375]),skolemize(U_2028,sK375(U_2032,U_2031))],[f_395_4]) ).

cnf(f_395_6,plain,
    ( hBOOL(hAPP_P1907982426r_bool(U_2031,U_2032))
    | ~ hBOOL(hAPP_P1907982426r_bool(U_2031,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,sK373(U_2032,U_2031)),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,sK374(U_2032,U_2031)),sK375(U_2032,U_2031))))) ),
    inference(clausify,[status(thm)],[f_395_5]) ).

fof(f_396_1,plain,
    ! [X_2,Pa] :
      ( hBOOL(hAPP_P1680401186r_bool(Pa,X_2))
      | ? [A_1,B_2,C_4] : ~ hBOOL(hAPP_P1680401186r_bool(Pa,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,A_1),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,B_2),C_4)))) ),
    inference(fof_nnf,[status(thm)],[fact_254_prod__induct3]) ).

fof(f_396_2,plain,
    ! [U_2037,U_2036] :
      ( hBOOL(hAPP_P1680401186r_bool(U_2036,U_2037))
      | ? [U_2035,U_2034,U_2033] : ~ hBOOL(hAPP_P1680401186r_bool(U_2036,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_2035),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_2034),U_2033)))) ),
    inference(variable_rename,[status(thm)],[f_396_1]) ).

fof(f_396_3,plain,
    ! [U_2037,U_2036] :
      ( hBOOL(hAPP_P1680401186r_bool(U_2036,U_2037))
      | ? [U_2034,U_2033] : ~ hBOOL(hAPP_P1680401186r_bool(U_2036,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,sK376(U_2037,U_2036)),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_2034),U_2033)))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK376]),skolemize(U_2035,sK376(U_2037,U_2036))],[f_396_2]) ).

fof(f_396_4,plain,
    ! [U_2037,U_2036] :
      ( hBOOL(hAPP_P1680401186r_bool(U_2036,U_2037))
      | ? [U_2033] : ~ hBOOL(hAPP_P1680401186r_bool(U_2036,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,sK376(U_2037,U_2036)),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,sK377(U_2037,U_2036)),U_2033)))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK377]),skolemize(U_2034,sK377(U_2037,U_2036))],[f_396_3]) ).

fof(f_396_5,plain,
    ! [U_2037,U_2036] :
      ( hBOOL(hAPP_P1680401186r_bool(U_2036,U_2037))
      | ~ hBOOL(hAPP_P1680401186r_bool(U_2036,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,sK376(U_2037,U_2036)),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,sK377(U_2037,U_2036)),sK378(U_2037,U_2036))))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK378]),skolemize(U_2033,sK378(U_2037,U_2036))],[f_396_4]) ).

cnf(f_396_6,plain,
    ( hBOOL(hAPP_P1680401186r_bool(U_2036,U_2037))
    | ~ hBOOL(hAPP_P1680401186r_bool(U_2036,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,sK376(U_2037,U_2036)),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,sK377(U_2037,U_2036)),sK378(U_2037,U_2036))))) ),
    inference(clausify,[status(thm)],[f_396_5]) ).

fof(f_397_1,plain,
    ! [X_2,Pa] :
      ( hBOOL(hAPP_P659547099r_bool(Pa,X_2))
      | ? [A_1,B_2,C_4] : ~ hBOOL(hAPP_P659547099r_bool(Pa,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,A_1),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,B_2),C_4)))) ),
    inference(fof_nnf,[status(thm)],[fact_255_prod__induct3]) ).

fof(f_397_2,plain,
    ! [U_2042,U_2041] :
      ( hBOOL(hAPP_P659547099r_bool(U_2041,U_2042))
      | ? [U_2040,U_2039,U_2038] : ~ hBOOL(hAPP_P659547099r_bool(U_2041,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_2040),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_2039),U_2038)))) ),
    inference(variable_rename,[status(thm)],[f_397_1]) ).

fof(f_397_3,plain,
    ! [U_2042,U_2041] :
      ( hBOOL(hAPP_P659547099r_bool(U_2041,U_2042))
      | ? [U_2039,U_2038] : ~ hBOOL(hAPP_P659547099r_bool(U_2041,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,sK379(U_2042,U_2041)),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_2039),U_2038)))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK379]),skolemize(U_2040,sK379(U_2042,U_2041))],[f_397_2]) ).

fof(f_397_4,plain,
    ! [U_2042,U_2041] :
      ( hBOOL(hAPP_P659547099r_bool(U_2041,U_2042))
      | ? [U_2038] : ~ hBOOL(hAPP_P659547099r_bool(U_2041,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,sK379(U_2042,U_2041)),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,sK380(U_2042,U_2041)),U_2038)))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK380]),skolemize(U_2039,sK380(U_2042,U_2041))],[f_397_3]) ).

fof(f_397_5,plain,
    ! [U_2042,U_2041] :
      ( hBOOL(hAPP_P659547099r_bool(U_2041,U_2042))
      | ~ hBOOL(hAPP_P659547099r_bool(U_2041,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,sK379(U_2042,U_2041)),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,sK380(U_2042,U_2041)),sK381(U_2042,U_2041))))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK381]),skolemize(U_2038,sK381(U_2042,U_2041))],[f_397_4]) ).

cnf(f_397_6,plain,
    ( hBOOL(hAPP_P659547099r_bool(U_2041,U_2042))
    | ~ hBOOL(hAPP_P659547099r_bool(U_2041,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,sK379(U_2042,U_2041)),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,sK380(U_2042,U_2041)),sK381(U_2042,U_2041))))) ),
    inference(clausify,[status(thm)],[f_397_5]) ).

fof(f_398_1,plain,
    ! [X_2,Pa] :
      ( hBOOL(hAPP_P378063101l_bool(Pa,X_2))
      | ? [A_1,B_2,C_4] : ~ hBOOL(hAPP_P378063101l_bool(Pa,hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,A_1),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,B_2),C_4)))) ),
    inference(fof_nnf,[status(thm)],[fact_256_prod__induct3]) ).

fof(f_398_2,plain,
    ! [U_2047,U_2046] :
      ( hBOOL(hAPP_P378063101l_bool(U_2046,U_2047))
      | ? [U_2045,U_2044,U_2043] : ~ hBOOL(hAPP_P378063101l_bool(U_2046,hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,U_2045),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_2044),U_2043)))) ),
    inference(variable_rename,[status(thm)],[f_398_1]) ).

fof(f_398_3,plain,
    ! [U_2047,U_2046] :
      ( hBOOL(hAPP_P378063101l_bool(U_2046,U_2047))
      | ? [U_2044,U_2043] : ~ hBOOL(hAPP_P378063101l_bool(U_2046,hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,sK382(U_2047,U_2046)),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_2044),U_2043)))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK382]),skolemize(U_2045,sK382(U_2047,U_2046))],[f_398_2]) ).

fof(f_398_4,plain,
    ! [U_2047,U_2046] :
      ( hBOOL(hAPP_P378063101l_bool(U_2046,U_2047))
      | ? [U_2043] : ~ hBOOL(hAPP_P378063101l_bool(U_2046,hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,sK382(U_2047,U_2046)),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK383(U_2047,U_2046)),U_2043)))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK383]),skolemize(U_2044,sK383(U_2047,U_2046))],[f_398_3]) ).

fof(f_398_5,plain,
    ! [U_2047,U_2046] :
      ( hBOOL(hAPP_P378063101l_bool(U_2046,U_2047))
      | ~ hBOOL(hAPP_P378063101l_bool(U_2046,hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,sK382(U_2047,U_2046)),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK383(U_2047,U_2046)),sK384(U_2047,U_2046))))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK384]),skolemize(U_2043,sK384(U_2047,U_2046))],[f_398_4]) ).

cnf(f_398_6,plain,
    ( hBOOL(hAPP_P378063101l_bool(U_2046,U_2047))
    | ~ hBOOL(hAPP_P378063101l_bool(U_2046,hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,sK382(U_2047,U_2046)),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK383(U_2047,U_2046)),sK384(U_2047,U_2046))))) ),
    inference(clausify,[status(thm)],[f_398_5]) ).

fof(f_399_1,plain,
    ! [X_2,Pa] :
      ( hBOOL(hAPP_P1221872711l_bool(Pa,X_2))
      | ? [A_1,B_2,C_4] : ~ hBOOL(hAPP_P1221872711l_bool(Pa,hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,A_1),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,B_2),C_4)))) ),
    inference(fof_nnf,[status(thm)],[fact_257_prod__induct3]) ).

fof(f_399_2,plain,
    ! [U_2052,U_2051] :
      ( hBOOL(hAPP_P1221872711l_bool(U_2051,U_2052))
      | ? [U_2050,U_2049,U_2048] : ~ hBOOL(hAPP_P1221872711l_bool(U_2051,hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,U_2050),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_2049),U_2048)))) ),
    inference(variable_rename,[status(thm)],[f_399_1]) ).

fof(f_399_3,plain,
    ! [U_2052,U_2051] :
      ( hBOOL(hAPP_P1221872711l_bool(U_2051,U_2052))
      | ? [U_2049,U_2048] : ~ hBOOL(hAPP_P1221872711l_bool(U_2051,hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,sK385(U_2052,U_2051)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_2049),U_2048)))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK385]),skolemize(U_2050,sK385(U_2052,U_2051))],[f_399_2]) ).

fof(f_399_4,plain,
    ! [U_2052,U_2051] :
      ( hBOOL(hAPP_P1221872711l_bool(U_2051,U_2052))
      | ? [U_2048] : ~ hBOOL(hAPP_P1221872711l_bool(U_2051,hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,sK385(U_2052,U_2051)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK386(U_2052,U_2051)),U_2048)))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK386]),skolemize(U_2049,sK386(U_2052,U_2051))],[f_399_3]) ).

fof(f_399_5,plain,
    ! [U_2052,U_2051] :
      ( hBOOL(hAPP_P1221872711l_bool(U_2051,U_2052))
      | ~ hBOOL(hAPP_P1221872711l_bool(U_2051,hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,sK385(U_2052,U_2051)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK386(U_2052,U_2051)),sK387(U_2052,U_2051))))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK387]),skolemize(U_2048,sK387(U_2052,U_2051))],[f_399_4]) ).

cnf(f_399_6,plain,
    ( hBOOL(hAPP_P1221872711l_bool(U_2051,U_2052))
    | ~ hBOOL(hAPP_P1221872711l_bool(U_2051,hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,sK385(U_2052,U_2051)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK386(U_2052,U_2051)),sK387(U_2052,U_2051))))) ),
    inference(clausify,[status(thm)],[f_399_5]) ).

fof(f_400_1,plain,
    ! [X_2,Pa] :
      ( hBOOL(hAPP_P124632071l_bool(Pa,X_2))
      | ? [A_1,B_2,C_4] : ~ hBOOL(hAPP_P124632071l_bool(Pa,hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,A_1),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,B_2),C_4)))) ),
    inference(fof_nnf,[status(thm)],[fact_258_prod__induct3]) ).

fof(f_400_2,plain,
    ! [U_2057,U_2056] :
      ( hBOOL(hAPP_P124632071l_bool(U_2056,U_2057))
      | ? [U_2055,U_2054,U_2053] : ~ hBOOL(hAPP_P124632071l_bool(U_2056,hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,U_2055),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_2054),U_2053)))) ),
    inference(variable_rename,[status(thm)],[f_400_1]) ).

fof(f_400_3,plain,
    ! [U_2057,U_2056] :
      ( hBOOL(hAPP_P124632071l_bool(U_2056,U_2057))
      | ? [U_2054,U_2053] : ~ hBOOL(hAPP_P124632071l_bool(U_2056,hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,sK388(U_2057,U_2056)),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_2054),U_2053)))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK388]),skolemize(U_2055,sK388(U_2057,U_2056))],[f_400_2]) ).

fof(f_400_4,plain,
    ! [U_2057,U_2056] :
      ( hBOOL(hAPP_P124632071l_bool(U_2056,U_2057))
      | ? [U_2053] : ~ hBOOL(hAPP_P124632071l_bool(U_2056,hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,sK388(U_2057,U_2056)),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,sK389(U_2057,U_2056)),U_2053)))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK389]),skolemize(U_2054,sK389(U_2057,U_2056))],[f_400_3]) ).

fof(f_400_5,plain,
    ! [U_2057,U_2056] :
      ( hBOOL(hAPP_P124632071l_bool(U_2056,U_2057))
      | ~ hBOOL(hAPP_P124632071l_bool(U_2056,hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,sK388(U_2057,U_2056)),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,sK389(U_2057,U_2056)),sK390(U_2057,U_2056))))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK390]),skolemize(U_2053,sK390(U_2057,U_2056))],[f_400_4]) ).

cnf(f_400_6,plain,
    ( hBOOL(hAPP_P124632071l_bool(U_2056,U_2057))
    | ~ hBOOL(hAPP_P124632071l_bool(U_2056,hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,sK388(U_2057,U_2056)),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,sK389(U_2057,U_2056)),sK390(U_2057,U_2056))))) ),
    inference(clausify,[status(thm)],[f_400_5]) ).

fof(f_401_1,plain,
    ! [X_2,Pa] :
      ( hBOOL(hAPP_P2010574925r_bool(Pa,X_2))
      | ? [A_1,B_2,C_4] : ~ hBOOL(hAPP_P2010574925r_bool(Pa,hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,A_1),hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,B_2),C_4)))) ),
    inference(fof_nnf,[status(thm)],[fact_259_prod__induct3]) ).

fof(f_401_2,plain,
    ! [U_2062,U_2061] :
      ( hBOOL(hAPP_P2010574925r_bool(U_2061,U_2062))
      | ? [U_2060,U_2059,U_2058] : ~ hBOOL(hAPP_P2010574925r_bool(U_2061,hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,U_2060),hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_2059),U_2058)))) ),
    inference(variable_rename,[status(thm)],[f_401_1]) ).

fof(f_401_3,plain,
    ! [U_2062,U_2061] :
      ( hBOOL(hAPP_P2010574925r_bool(U_2061,U_2062))
      | ? [U_2059,U_2058] : ~ hBOOL(hAPP_P2010574925r_bool(U_2061,hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,sK391(U_2062,U_2061)),hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_2059),U_2058)))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK391]),skolemize(U_2060,sK391(U_2062,U_2061))],[f_401_2]) ).

fof(f_401_4,plain,
    ! [U_2062,U_2061] :
      ( hBOOL(hAPP_P2010574925r_bool(U_2061,U_2062))
      | ? [U_2058] : ~ hBOOL(hAPP_P2010574925r_bool(U_2061,hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,sK391(U_2062,U_2061)),hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,sK392(U_2062,U_2061)),U_2058)))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK392]),skolemize(U_2059,sK392(U_2062,U_2061))],[f_401_3]) ).

fof(f_401_5,plain,
    ! [U_2062,U_2061] :
      ( hBOOL(hAPP_P2010574925r_bool(U_2061,U_2062))
      | ~ hBOOL(hAPP_P2010574925r_bool(U_2061,hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,sK391(U_2062,U_2061)),hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,sK392(U_2062,U_2061)),sK393(U_2062,U_2061))))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK393]),skolemize(U_2058,sK393(U_2062,U_2061))],[f_401_4]) ).

cnf(f_401_6,plain,
    ( hBOOL(hAPP_P2010574925r_bool(U_2061,U_2062))
    | ~ hBOOL(hAPP_P2010574925r_bool(U_2061,hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,sK391(U_2062,U_2061)),hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,sK392(U_2062,U_2061)),sK393(U_2062,U_2061))))) ),
    inference(clausify,[status(thm)],[f_401_5]) ).

fof(f_402_1,plain,
    ! [X_2,Pa] :
      ( hBOOL(hAPP_P738987199l_bool(Pa,X_2))
      | ? [A_1,B_2,C_4] :
          ( ~ hBOOL(hAPP_P738987199l_bool(Pa,hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,A_1),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,B_2),C_4))))
          & is_bop(B_2) ) ),
    inference(fof_nnf,[status(thm)],[fact_260_prod__induct3]) ).

fof(f_402_2,plain,
    ! [U_2067,U_2066] :
      ( hBOOL(hAPP_P738987199l_bool(U_2066,U_2067))
      | ? [U_2065,U_2064,U_2063] :
          ( ~ hBOOL(hAPP_P738987199l_bool(U_2066,hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,U_2065),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_2064),U_2063))))
          & is_bop(U_2064) ) ),
    inference(variable_rename,[status(thm)],[f_402_1]) ).

fof(f_402_3,plain,
    ! [U_2067,U_2066] :
      ( hBOOL(hAPP_P738987199l_bool(U_2066,U_2067))
      | ? [U_2065,U_2064] :
          ( ? [U_2063] : ~ hBOOL(hAPP_P738987199l_bool(U_2066,hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,U_2065),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_2064),U_2063))))
          & is_bop(U_2064) ) ),
    inference(miniscope,[status(thm)],[f_402_2]) ).

fof(f_402_4,plain,
    ! [U_2067,U_2066] :
      ( hBOOL(hAPP_P738987199l_bool(U_2066,U_2067))
      | ? [U_2064] :
          ( ? [U_2063] : ~ hBOOL(hAPP_P738987199l_bool(U_2066,hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,sK394(U_2067,U_2066)),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_2064),U_2063))))
          & is_bop(U_2064) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK394]),skolemize(U_2065,sK394(U_2067,U_2066))],[f_402_3]) ).

fof(f_402_5,plain,
    ! [U_2067,U_2066] :
      ( hBOOL(hAPP_P738987199l_bool(U_2066,U_2067))
      | ( ? [U_2063] : ~ hBOOL(hAPP_P738987199l_bool(U_2066,hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,sK394(U_2067,U_2066)),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,sK395(U_2067,U_2066)),U_2063))))
        & is_bop(sK395(U_2067,U_2066)) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK395]),skolemize(U_2064,sK395(U_2067,U_2066))],[f_402_4]) ).

fof(f_402_6,plain,
    ! [U_2067,U_2066] :
      ( hBOOL(hAPP_P738987199l_bool(U_2066,U_2067))
      | ( ~ hBOOL(hAPP_P738987199l_bool(U_2066,hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,sK394(U_2067,U_2066)),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,sK395(U_2067,U_2066)),sK396(U_2067,U_2066)))))
        & is_bop(sK395(U_2067,U_2066)) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK396]),skolemize(U_2063,sK396(U_2067,U_2066))],[f_402_5]) ).

cnf(f_402_7,plain,
    ( is_bop(sK395(U_2067,U_2066))
    | hBOOL(hAPP_P738987199l_bool(U_2066,U_2067)) ),
    inference(clausify,[status(thm)],[f_402_6]) ).

cnf(f_402_8,plain,
    ( ~ hBOOL(hAPP_P738987199l_bool(U_2066,hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,sK394(U_2067,U_2066)),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,sK395(U_2067,U_2066)),sK396(U_2067,U_2066)))))
    | hBOOL(hAPP_P738987199l_bool(U_2066,U_2067)) ),
    inference(clausify,[status(thm)],[f_402_6]) ).

fof(f_403_1,plain,
    ! [X_2,Pa] :
      ( hBOOL(hAPP_P2123002749l_bool(Pa,X_2))
      | ? [A_1,B_2,C_4] : ~ hBOOL(hAPP_P2123002749l_bool(Pa,hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,A_1),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,B_2),C_4)))) ),
    inference(fof_nnf,[status(thm)],[fact_261_prod__induct3]) ).

fof(f_403_2,plain,
    ! [U_2072,U_2071] :
      ( hBOOL(hAPP_P2123002749l_bool(U_2071,U_2072))
      | ? [U_2070,U_2069,U_2068] : ~ hBOOL(hAPP_P2123002749l_bool(U_2071,hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,U_2070),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_2069),U_2068)))) ),
    inference(variable_rename,[status(thm)],[f_403_1]) ).

fof(f_403_3,plain,
    ! [U_2072,U_2071] :
      ( hBOOL(hAPP_P2123002749l_bool(U_2071,U_2072))
      | ? [U_2069,U_2068] : ~ hBOOL(hAPP_P2123002749l_bool(U_2071,hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,sK397(U_2072,U_2071)),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_2069),U_2068)))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK397]),skolemize(U_2070,sK397(U_2072,U_2071))],[f_403_2]) ).

fof(f_403_4,plain,
    ! [U_2072,U_2071] :
      ( hBOOL(hAPP_P2123002749l_bool(U_2071,U_2072))
      | ? [U_2068] : ~ hBOOL(hAPP_P2123002749l_bool(U_2071,hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,sK397(U_2072,U_2071)),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,sK398(U_2072,U_2071)),U_2068)))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK398]),skolemize(U_2069,sK398(U_2072,U_2071))],[f_403_3]) ).

fof(f_403_5,plain,
    ! [U_2072,U_2071] :
      ( hBOOL(hAPP_P2123002749l_bool(U_2071,U_2072))
      | ~ hBOOL(hAPP_P2123002749l_bool(U_2071,hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,sK397(U_2072,U_2071)),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,sK398(U_2072,U_2071)),sK399(U_2072,U_2071))))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK399]),skolemize(U_2068,sK399(U_2072,U_2071))],[f_403_4]) ).

cnf(f_403_6,plain,
    ( hBOOL(hAPP_P2123002749l_bool(U_2071,U_2072))
    | ~ hBOOL(hAPP_P2123002749l_bool(U_2071,hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,sK397(U_2072,U_2071)),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,sK398(U_2072,U_2071)),sK399(U_2072,U_2071))))) ),
    inference(clausify,[status(thm)],[f_403_5]) ).

fof(f_404_1,plain,
    ! [X_2,Pa] :
      ( hBOOL(hAPP_P2028072621l_bool(Pa,X_2))
      | ? [A_1,B_2,C_4] : ~ hBOOL(hAPP_P2028072621l_bool(Pa,hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,A_1),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,B_2),C_4)))) ),
    inference(fof_nnf,[status(thm)],[fact_262_prod__induct3]) ).

fof(f_404_2,plain,
    ! [U_2077,U_2076] :
      ( hBOOL(hAPP_P2028072621l_bool(U_2076,U_2077))
      | ? [U_2075,U_2074,U_2073] : ~ hBOOL(hAPP_P2028072621l_bool(U_2076,hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,U_2075),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_2074),U_2073)))) ),
    inference(variable_rename,[status(thm)],[f_404_1]) ).

fof(f_404_3,plain,
    ! [U_2077,U_2076] :
      ( hBOOL(hAPP_P2028072621l_bool(U_2076,U_2077))
      | ? [U_2074,U_2073] : ~ hBOOL(hAPP_P2028072621l_bool(U_2076,hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,sK400(U_2077,U_2076)),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_2074),U_2073)))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK400]),skolemize(U_2075,sK400(U_2077,U_2076))],[f_404_2]) ).

fof(f_404_4,plain,
    ! [U_2077,U_2076] :
      ( hBOOL(hAPP_P2028072621l_bool(U_2076,U_2077))
      | ? [U_2073] : ~ hBOOL(hAPP_P2028072621l_bool(U_2076,hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,sK400(U_2077,U_2076)),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,sK401(U_2077,U_2076)),U_2073)))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK401]),skolemize(U_2074,sK401(U_2077,U_2076))],[f_404_3]) ).

fof(f_404_5,plain,
    ! [U_2077,U_2076] :
      ( hBOOL(hAPP_P2028072621l_bool(U_2076,U_2077))
      | ~ hBOOL(hAPP_P2028072621l_bool(U_2076,hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,sK400(U_2077,U_2076)),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,sK401(U_2077,U_2076)),sK402(U_2077,U_2076))))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK402]),skolemize(U_2073,sK402(U_2077,U_2076))],[f_404_4]) ).

cnf(f_404_6,plain,
    ( hBOOL(hAPP_P2028072621l_bool(U_2076,U_2077))
    | ~ hBOOL(hAPP_P2028072621l_bool(U_2076,hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,sK400(U_2077,U_2076)),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,sK401(U_2077,U_2076)),sK402(U_2077,U_2076))))) ),
    inference(clausify,[status(thm)],[f_404_5]) ).

fof(f_405_1,plain,
    ! [X_2,Pa] :
      ( hBOOL(hAPP_P824029447r_bool(Pa,X_2))
      | ? [A_1,B_2,C_4] : ~ hBOOL(hAPP_P824029447r_bool(Pa,hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,A_1),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,B_2),C_4)))) ),
    inference(fof_nnf,[status(thm)],[fact_263_prod__induct3]) ).

fof(f_405_2,plain,
    ! [U_2082,U_2081] :
      ( hBOOL(hAPP_P824029447r_bool(U_2081,U_2082))
      | ? [U_2080,U_2079,U_2078] : ~ hBOOL(hAPP_P824029447r_bool(U_2081,hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,U_2080),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_2079),U_2078)))) ),
    inference(variable_rename,[status(thm)],[f_405_1]) ).

fof(f_405_3,plain,
    ! [U_2082,U_2081] :
      ( hBOOL(hAPP_P824029447r_bool(U_2081,U_2082))
      | ? [U_2079,U_2078] : ~ hBOOL(hAPP_P824029447r_bool(U_2081,hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,sK403(U_2082,U_2081)),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_2079),U_2078)))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK403]),skolemize(U_2080,sK403(U_2082,U_2081))],[f_405_2]) ).

fof(f_405_4,plain,
    ! [U_2082,U_2081] :
      ( hBOOL(hAPP_P824029447r_bool(U_2081,U_2082))
      | ? [U_2078] : ~ hBOOL(hAPP_P824029447r_bool(U_2081,hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,sK403(U_2082,U_2081)),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,sK404(U_2082,U_2081)),U_2078)))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK404]),skolemize(U_2079,sK404(U_2082,U_2081))],[f_405_3]) ).

fof(f_405_5,plain,
    ! [U_2082,U_2081] :
      ( hBOOL(hAPP_P824029447r_bool(U_2081,U_2082))
      | ~ hBOOL(hAPP_P824029447r_bool(U_2081,hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,sK403(U_2082,U_2081)),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,sK404(U_2082,U_2081)),sK405(U_2082,U_2081))))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK405]),skolemize(U_2078,sK405(U_2082,U_2081))],[f_405_4]) ).

cnf(f_405_6,plain,
    ( hBOOL(hAPP_P824029447r_bool(U_2081,U_2082))
    | ~ hBOOL(hAPP_P824029447r_bool(U_2081,hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,sK403(U_2082,U_2081)),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,sK404(U_2082,U_2081)),sK405(U_2082,U_2081))))) ),
    inference(clausify,[status(thm)],[f_405_5]) ).

fof(f_406_1,plain,
    ! [X_2,Pa] :
      ( hBOOL(hAPP_P1240100515r_bool(Pa,X_2))
      | ? [A_1,B_2,C_4] : ~ hBOOL(hAPP_P1240100515r_bool(Pa,hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,A_1),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,B_2),C_4)))) ),
    inference(fof_nnf,[status(thm)],[fact_264_prod__induct3]) ).

fof(f_406_2,plain,
    ! [U_2087,U_2086] :
      ( hBOOL(hAPP_P1240100515r_bool(U_2086,U_2087))
      | ? [U_2085,U_2084,U_2083] : ~ hBOOL(hAPP_P1240100515r_bool(U_2086,hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,U_2085),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_2084),U_2083)))) ),
    inference(variable_rename,[status(thm)],[f_406_1]) ).

fof(f_406_3,plain,
    ! [U_2087,U_2086] :
      ( hBOOL(hAPP_P1240100515r_bool(U_2086,U_2087))
      | ? [U_2084,U_2083] : ~ hBOOL(hAPP_P1240100515r_bool(U_2086,hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,sK406(U_2087,U_2086)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_2084),U_2083)))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK406]),skolemize(U_2085,sK406(U_2087,U_2086))],[f_406_2]) ).

fof(f_406_4,plain,
    ! [U_2087,U_2086] :
      ( hBOOL(hAPP_P1240100515r_bool(U_2086,U_2087))
      | ? [U_2083] : ~ hBOOL(hAPP_P1240100515r_bool(U_2086,hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,sK406(U_2087,U_2086)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,sK407(U_2087,U_2086)),U_2083)))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK407]),skolemize(U_2084,sK407(U_2087,U_2086))],[f_406_3]) ).

fof(f_406_5,plain,
    ! [U_2087,U_2086] :
      ( hBOOL(hAPP_P1240100515r_bool(U_2086,U_2087))
      | ~ hBOOL(hAPP_P1240100515r_bool(U_2086,hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,sK406(U_2087,U_2086)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,sK407(U_2087,U_2086)),sK408(U_2087,U_2086))))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK408]),skolemize(U_2083,sK408(U_2087,U_2086))],[f_406_4]) ).

cnf(f_406_6,plain,
    ( hBOOL(hAPP_P1240100515r_bool(U_2086,U_2087))
    | ~ hBOOL(hAPP_P1240100515r_bool(U_2086,hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,sK406(U_2087,U_2086)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,sK407(U_2087,U_2086)),sK408(U_2087,U_2086))))) ),
    inference(clausify,[status(thm)],[f_406_5]) ).

fof(f_407_1,plain,
    ! [X_2,Pa] :
      ( hBOOL(hAPP_P1183499705r_bool(Pa,X_2))
      | ? [A_1,B_2,C_4] : ~ hBOOL(hAPP_P1183499705r_bool(Pa,hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,A_1),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,B_2),C_4)))) ),
    inference(fof_nnf,[status(thm)],[fact_265_prod__induct3]) ).

fof(f_407_2,plain,
    ! [U_2092,U_2091] :
      ( hBOOL(hAPP_P1183499705r_bool(U_2091,U_2092))
      | ? [U_2090,U_2089,U_2088] : ~ hBOOL(hAPP_P1183499705r_bool(U_2091,hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,U_2090),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_2089),U_2088)))) ),
    inference(variable_rename,[status(thm)],[f_407_1]) ).

fof(f_407_3,plain,
    ! [U_2092,U_2091] :
      ( hBOOL(hAPP_P1183499705r_bool(U_2091,U_2092))
      | ? [U_2089,U_2088] : ~ hBOOL(hAPP_P1183499705r_bool(U_2091,hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,sK409(U_2092,U_2091)),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_2089),U_2088)))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK409]),skolemize(U_2090,sK409(U_2092,U_2091))],[f_407_2]) ).

fof(f_407_4,plain,
    ! [U_2092,U_2091] :
      ( hBOOL(hAPP_P1183499705r_bool(U_2091,U_2092))
      | ? [U_2088] : ~ hBOOL(hAPP_P1183499705r_bool(U_2091,hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,sK409(U_2092,U_2091)),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,sK410(U_2092,U_2091)),U_2088)))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK410]),skolemize(U_2089,sK410(U_2092,U_2091))],[f_407_3]) ).

fof(f_407_5,plain,
    ! [U_2092,U_2091] :
      ( hBOOL(hAPP_P1183499705r_bool(U_2091,U_2092))
      | ~ hBOOL(hAPP_P1183499705r_bool(U_2091,hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,sK409(U_2092,U_2091)),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,sK410(U_2092,U_2091)),sK411(U_2092,U_2091))))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK411]),skolemize(U_2088,sK411(U_2092,U_2091))],[f_407_4]) ).

cnf(f_407_6,plain,
    ( hBOOL(hAPP_P1183499705r_bool(U_2091,U_2092))
    | ~ hBOOL(hAPP_P1183499705r_bool(U_2091,hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,sK409(U_2092,U_2091)),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,sK410(U_2092,U_2091)),sK411(U_2092,U_2091))))) ),
    inference(clausify,[status(thm)],[f_407_5]) ).

fof(f_408_1,plain,
    ! [X_2,Pa] :
      ( hBOOL(hAPP_P975284999r_bool(Pa,X_2))
      | ? [A_1,B_2,C_4] : ~ hBOOL(hAPP_P975284999r_bool(Pa,hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,A_1),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,B_2),C_4)))) ),
    inference(fof_nnf,[status(thm)],[fact_266_prod__induct3]) ).

fof(f_408_2,plain,
    ! [U_2097,U_2096] :
      ( hBOOL(hAPP_P975284999r_bool(U_2096,U_2097))
      | ? [U_2095,U_2094,U_2093] : ~ hBOOL(hAPP_P975284999r_bool(U_2096,hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,U_2095),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_2094),U_2093)))) ),
    inference(variable_rename,[status(thm)],[f_408_1]) ).

fof(f_408_3,plain,
    ! [U_2097,U_2096] :
      ( hBOOL(hAPP_P975284999r_bool(U_2096,U_2097))
      | ? [U_2094,U_2093] : ~ hBOOL(hAPP_P975284999r_bool(U_2096,hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,sK412(U_2097,U_2096)),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_2094),U_2093)))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK412]),skolemize(U_2095,sK412(U_2097,U_2096))],[f_408_2]) ).

fof(f_408_4,plain,
    ! [U_2097,U_2096] :
      ( hBOOL(hAPP_P975284999r_bool(U_2096,U_2097))
      | ? [U_2093] : ~ hBOOL(hAPP_P975284999r_bool(U_2096,hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,sK412(U_2097,U_2096)),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,sK413(U_2097,U_2096)),U_2093)))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK413]),skolemize(U_2094,sK413(U_2097,U_2096))],[f_408_3]) ).

fof(f_408_5,plain,
    ! [U_2097,U_2096] :
      ( hBOOL(hAPP_P975284999r_bool(U_2096,U_2097))
      | ~ hBOOL(hAPP_P975284999r_bool(U_2096,hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,sK412(U_2097,U_2096)),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,sK413(U_2097,U_2096)),sK414(U_2097,U_2096))))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK414]),skolemize(U_2093,sK414(U_2097,U_2096))],[f_408_4]) ).

cnf(f_408_6,plain,
    ( hBOOL(hAPP_P975284999r_bool(U_2096,U_2097))
    | ~ hBOOL(hAPP_P975284999r_bool(U_2096,hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,sK412(U_2097,U_2096)),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,sK413(U_2097,U_2096)),sK414(U_2097,U_2096))))) ),
    inference(clausify,[status(thm)],[f_408_5]) ).

fof(f_409_1,plain,
    ! [X_2,Pa] :
      ( hBOOL(hAPP_P929449287r_bool(Pa,X_2))
      | ? [A_1,B_2,C_4] : ~ hBOOL(hAPP_P929449287r_bool(Pa,hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,A_1),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,B_2),C_4)))) ),
    inference(fof_nnf,[status(thm)],[fact_267_prod__induct3]) ).

fof(f_409_2,plain,
    ! [U_2102,U_2101] :
      ( hBOOL(hAPP_P929449287r_bool(U_2101,U_2102))
      | ? [U_2100,U_2099,U_2098] : ~ hBOOL(hAPP_P929449287r_bool(U_2101,hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,U_2100),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_2099),U_2098)))) ),
    inference(variable_rename,[status(thm)],[f_409_1]) ).

fof(f_409_3,plain,
    ! [U_2102,U_2101] :
      ( hBOOL(hAPP_P929449287r_bool(U_2101,U_2102))
      | ? [U_2099,U_2098] : ~ hBOOL(hAPP_P929449287r_bool(U_2101,hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,sK415(U_2102,U_2101)),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_2099),U_2098)))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK415]),skolemize(U_2100,sK415(U_2102,U_2101))],[f_409_2]) ).

fof(f_409_4,plain,
    ! [U_2102,U_2101] :
      ( hBOOL(hAPP_P929449287r_bool(U_2101,U_2102))
      | ? [U_2098] : ~ hBOOL(hAPP_P929449287r_bool(U_2101,hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,sK415(U_2102,U_2101)),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,sK416(U_2102,U_2101)),U_2098)))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK416]),skolemize(U_2099,sK416(U_2102,U_2101))],[f_409_3]) ).

fof(f_409_5,plain,
    ! [U_2102,U_2101] :
      ( hBOOL(hAPP_P929449287r_bool(U_2101,U_2102))
      | ~ hBOOL(hAPP_P929449287r_bool(U_2101,hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,sK415(U_2102,U_2101)),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,sK416(U_2102,U_2101)),sK417(U_2102,U_2101))))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK417]),skolemize(U_2098,sK417(U_2102,U_2101))],[f_409_4]) ).

cnf(f_409_6,plain,
    ( hBOOL(hAPP_P929449287r_bool(U_2101,U_2102))
    | ~ hBOOL(hAPP_P929449287r_bool(U_2101,hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,sK415(U_2102,U_2101)),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,sK416(U_2102,U_2101)),sK417(U_2102,U_2101))))) ),
    inference(clausify,[status(thm)],[f_409_5]) ).

fof(f_410_1,plain,
    ! [X_2,Pa] :
      ( hBOOL(hAPP_P801803911r_bool(Pa,X_2))
      | ? [A_1,B_2,C_4] : ~ hBOOL(hAPP_P801803911r_bool(Pa,hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,A_1),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,B_2),C_4)))) ),
    inference(fof_nnf,[status(thm)],[fact_268_prod__induct3]) ).

fof(f_410_2,plain,
    ! [U_2107,U_2106] :
      ( hBOOL(hAPP_P801803911r_bool(U_2106,U_2107))
      | ? [U_2105,U_2104,U_2103] : ~ hBOOL(hAPP_P801803911r_bool(U_2106,hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,U_2105),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_2104),U_2103)))) ),
    inference(variable_rename,[status(thm)],[f_410_1]) ).

fof(f_410_3,plain,
    ! [U_2107,U_2106] :
      ( hBOOL(hAPP_P801803911r_bool(U_2106,U_2107))
      | ? [U_2104,U_2103] : ~ hBOOL(hAPP_P801803911r_bool(U_2106,hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,sK418(U_2107,U_2106)),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_2104),U_2103)))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK418]),skolemize(U_2105,sK418(U_2107,U_2106))],[f_410_2]) ).

fof(f_410_4,plain,
    ! [U_2107,U_2106] :
      ( hBOOL(hAPP_P801803911r_bool(U_2106,U_2107))
      | ? [U_2103] : ~ hBOOL(hAPP_P801803911r_bool(U_2106,hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,sK418(U_2107,U_2106)),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,sK419(U_2107,U_2106)),U_2103)))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK419]),skolemize(U_2104,sK419(U_2107,U_2106))],[f_410_3]) ).

fof(f_410_5,plain,
    ! [U_2107,U_2106] :
      ( hBOOL(hAPP_P801803911r_bool(U_2106,U_2107))
      | ~ hBOOL(hAPP_P801803911r_bool(U_2106,hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,sK418(U_2107,U_2106)),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,sK419(U_2107,U_2106)),sK420(U_2107,U_2106))))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK420]),skolemize(U_2103,sK420(U_2107,U_2106))],[f_410_4]) ).

cnf(f_410_6,plain,
    ( hBOOL(hAPP_P801803911r_bool(U_2106,U_2107))
    | ~ hBOOL(hAPP_P801803911r_bool(U_2106,hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,sK418(U_2107,U_2106)),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,sK419(U_2107,U_2106)),sK420(U_2107,U_2106))))) ),
    inference(clausify,[status(thm)],[f_410_5]) ).

fof(f_411_1,plain,
    ! [X_2,Pa] :
      ( hBOOL(hAPP_P1002912327r_bool(Pa,X_2))
      | ? [A_1,B_2,C_4] : ~ hBOOL(hAPP_P1002912327r_bool(Pa,hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,A_1),hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,B_2),C_4)))) ),
    inference(fof_nnf,[status(thm)],[fact_269_prod__induct3]) ).

fof(f_411_2,plain,
    ! [U_2112,U_2111] :
      ( hBOOL(hAPP_P1002912327r_bool(U_2111,U_2112))
      | ? [U_2110,U_2109,U_2108] : ~ hBOOL(hAPP_P1002912327r_bool(U_2111,hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,U_2110),hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_2109),U_2108)))) ),
    inference(variable_rename,[status(thm)],[f_411_1]) ).

fof(f_411_3,plain,
    ! [U_2112,U_2111] :
      ( hBOOL(hAPP_P1002912327r_bool(U_2111,U_2112))
      | ? [U_2109,U_2108] : ~ hBOOL(hAPP_P1002912327r_bool(U_2111,hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,sK421(U_2112,U_2111)),hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_2109),U_2108)))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK421]),skolemize(U_2110,sK421(U_2112,U_2111))],[f_411_2]) ).

fof(f_411_4,plain,
    ! [U_2112,U_2111] :
      ( hBOOL(hAPP_P1002912327r_bool(U_2111,U_2112))
      | ? [U_2108] : ~ hBOOL(hAPP_P1002912327r_bool(U_2111,hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,sK421(U_2112,U_2111)),hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,sK422(U_2112,U_2111)),U_2108)))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK422]),skolemize(U_2109,sK422(U_2112,U_2111))],[f_411_3]) ).

fof(f_411_5,plain,
    ! [U_2112,U_2111] :
      ( hBOOL(hAPP_P1002912327r_bool(U_2111,U_2112))
      | ~ hBOOL(hAPP_P1002912327r_bool(U_2111,hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,sK421(U_2112,U_2111)),hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,sK422(U_2112,U_2111)),sK423(U_2112,U_2111))))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK423]),skolemize(U_2108,sK423(U_2112,U_2111))],[f_411_4]) ).

cnf(f_411_6,plain,
    ( hBOOL(hAPP_P1002912327r_bool(U_2111,U_2112))
    | ~ hBOOL(hAPP_P1002912327r_bool(U_2111,hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,sK421(U_2112,U_2111)),hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,sK422(U_2112,U_2111)),sK423(U_2112,U_2111))))) ),
    inference(clausify,[status(thm)],[f_411_5]) ).

fof(f_412_1,plain,
    ! [Ea,Ta,Eb,S,E_b,S_2,Pa] :
      ( hBOOL(hAPP_P159683425l_bool(typeSa1700205512_sconf(Pa,Ea),S_2))
      | ~ hBOOL(hAPP_P159683425l_bool(typeSa1700205512_sconf(Pa,Ea),S))
      | ~ hBOOL(wTrt_1(Pa,hp(S),Ea,Eb,Ta))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_2))),red(Pa))) ),
    inference(fof_nnf,[status(thm)],[fact_270_red__preserves__sconf]) ).

fof(f_412_2,plain,
    ! [U_2119,U_2118,U_2117,U_2116,U_2115,U_2114,U_2113] :
      ( hBOOL(hAPP_P159683425l_bool(typeSa1700205512_sconf(U_2113,U_2119),U_2114))
      | ~ hBOOL(hAPP_P159683425l_bool(typeSa1700205512_sconf(U_2113,U_2119),U_2116))
      | ~ hBOOL(wTrt_1(U_2113,hp(U_2116),U_2119,U_2117,U_2118))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_2117),U_2116)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_2115),U_2114))),red(U_2113))) ),
    inference(variable_rename,[status(thm)],[f_412_1]) ).

cnf(f_412_3,plain,
    ( hBOOL(hAPP_P159683425l_bool(typeSa1700205512_sconf(U_2113,U_2119),U_2114))
    | ~ hBOOL(hAPP_P159683425l_bool(typeSa1700205512_sconf(U_2113,U_2119),U_2116))
    | ~ hBOOL(wTrt_1(U_2113,hp(U_2116),U_2119,U_2117,U_2118))
    | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_2117),U_2116)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_2115),U_2114))),red(U_2113))) ),
    inference(clausify,[status(thm)],[f_412_2]) ).

fof(f_413_1,plain,
    ! [S_4,R_2] :
      ( ( ! [X_1,Xa] :
            ( ( hBOOL(hAPP_f1734260017l_bool(hAPP_P53416969l_bool(member894971540t_char,hAPP_l1648260346t_char(hAPP_l1105836155t_char(produc1237966615t_char,X_1),Xa)),R_2))
              | ~ hBOOL(hAPP_f1734260017l_bool(hAPP_P53416969l_bool(member894971540t_char,hAPP_l1648260346t_char(hAPP_l1105836155t_char(produc1237966615t_char,X_1),Xa)),S_4)) )
            & ( hBOOL(hAPP_f1734260017l_bool(hAPP_P53416969l_bool(member894971540t_char,hAPP_l1648260346t_char(hAPP_l1105836155t_char(produc1237966615t_char,X_1),Xa)),S_4))
              | ~ hBOOL(hAPP_f1734260017l_bool(hAPP_P53416969l_bool(member894971540t_char,hAPP_l1648260346t_char(hAPP_l1105836155t_char(produc1237966615t_char,X_1),Xa)),R_2)) ) )
        | R_2 != S_4 )
      & ( R_2 = S_4
        | ? [X_1,Xa] :
            ( ( ~ hBOOL(hAPP_f1734260017l_bool(hAPP_P53416969l_bool(member894971540t_char,hAPP_l1648260346t_char(hAPP_l1105836155t_char(produc1237966615t_char,X_1),Xa)),R_2))
              & hBOOL(hAPP_f1734260017l_bool(hAPP_P53416969l_bool(member894971540t_char,hAPP_l1648260346t_char(hAPP_l1105836155t_char(produc1237966615t_char,X_1),Xa)),S_4)) )
            | ( ~ hBOOL(hAPP_f1734260017l_bool(hAPP_P53416969l_bool(member894971540t_char,hAPP_l1648260346t_char(hAPP_l1105836155t_char(produc1237966615t_char,X_1),Xa)),S_4))
              & hBOOL(hAPP_f1734260017l_bool(hAPP_P53416969l_bool(member894971540t_char,hAPP_l1648260346t_char(hAPP_l1105836155t_char(produc1237966615t_char,X_1),Xa)),R_2)) ) ) ) ),
    inference(fof_nnf,[status(thm)],[fact_271_pred__equals__eq2]) ).

fof(f_413_2,plain,
    ! [U_2125,U_2124] :
      ( ( ! [U_2123,U_2122] :
            ( ( hBOOL(hAPP_f1734260017l_bool(hAPP_P53416969l_bool(member894971540t_char,hAPP_l1648260346t_char(hAPP_l1105836155t_char(produc1237966615t_char,U_2123),U_2122)),U_2124))
              | ~ hBOOL(hAPP_f1734260017l_bool(hAPP_P53416969l_bool(member894971540t_char,hAPP_l1648260346t_char(hAPP_l1105836155t_char(produc1237966615t_char,U_2123),U_2122)),U_2125)) )
            & ( hBOOL(hAPP_f1734260017l_bool(hAPP_P53416969l_bool(member894971540t_char,hAPP_l1648260346t_char(hAPP_l1105836155t_char(produc1237966615t_char,U_2123),U_2122)),U_2125))
              | ~ hBOOL(hAPP_f1734260017l_bool(hAPP_P53416969l_bool(member894971540t_char,hAPP_l1648260346t_char(hAPP_l1105836155t_char(produc1237966615t_char,U_2123),U_2122)),U_2124)) ) )
        | U_2124 != U_2125 )
      & ( U_2124 = U_2125
        | ? [U_2121,U_2120] :
            ( ( ~ hBOOL(hAPP_f1734260017l_bool(hAPP_P53416969l_bool(member894971540t_char,hAPP_l1648260346t_char(hAPP_l1105836155t_char(produc1237966615t_char,U_2121),U_2120)),U_2124))
              & hBOOL(hAPP_f1734260017l_bool(hAPP_P53416969l_bool(member894971540t_char,hAPP_l1648260346t_char(hAPP_l1105836155t_char(produc1237966615t_char,U_2121),U_2120)),U_2125)) )
            | ( ~ hBOOL(hAPP_f1734260017l_bool(hAPP_P53416969l_bool(member894971540t_char,hAPP_l1648260346t_char(hAPP_l1105836155t_char(produc1237966615t_char,U_2121),U_2120)),U_2125))
              & hBOOL(hAPP_f1734260017l_bool(hAPP_P53416969l_bool(member894971540t_char,hAPP_l1648260346t_char(hAPP_l1105836155t_char(produc1237966615t_char,U_2121),U_2120)),U_2124)) ) ) ) ),
    inference(variable_rename,[status(thm)],[f_413_1]) ).

fof(f_413_3,plain,
    ( ! [U_2137,U_2135] :
        ( ( ! [U_2133,U_2131] :
              ( hBOOL(hAPP_f1734260017l_bool(hAPP_P53416969l_bool(member894971540t_char,hAPP_l1648260346t_char(hAPP_l1105836155t_char(produc1237966615t_char,U_2133),U_2131)),U_2135))
              | ~ hBOOL(hAPP_f1734260017l_bool(hAPP_P53416969l_bool(member894971540t_char,hAPP_l1648260346t_char(hAPP_l1105836155t_char(produc1237966615t_char,U_2133),U_2131)),U_2137)) )
          & ! [U_2132,U_2130] :
              ( hBOOL(hAPP_f1734260017l_bool(hAPP_P53416969l_bool(member894971540t_char,hAPP_l1648260346t_char(hAPP_l1105836155t_char(produc1237966615t_char,U_2132),U_2130)),U_2137))
              | ~ hBOOL(hAPP_f1734260017l_bool(hAPP_P53416969l_bool(member894971540t_char,hAPP_l1648260346t_char(hAPP_l1105836155t_char(produc1237966615t_char,U_2132),U_2130)),U_2135)) ) )
        | U_2135 != U_2137 )
    & ! [U_2136,U_2134] :
        ( U_2134 = U_2136
        | ? [U_2129,U_2127] :
            ( ~ hBOOL(hAPP_f1734260017l_bool(hAPP_P53416969l_bool(member894971540t_char,hAPP_l1648260346t_char(hAPP_l1105836155t_char(produc1237966615t_char,U_2129),U_2127)),U_2134))
            & hBOOL(hAPP_f1734260017l_bool(hAPP_P53416969l_bool(member894971540t_char,hAPP_l1648260346t_char(hAPP_l1105836155t_char(produc1237966615t_char,U_2129),U_2127)),U_2136)) )
        | ? [U_2128,U_2126] :
            ( ~ hBOOL(hAPP_f1734260017l_bool(hAPP_P53416969l_bool(member894971540t_char,hAPP_l1648260346t_char(hAPP_l1105836155t_char(produc1237966615t_char,U_2128),U_2126)),U_2136))
            & hBOOL(hAPP_f1734260017l_bool(hAPP_P53416969l_bool(member894971540t_char,hAPP_l1648260346t_char(hAPP_l1105836155t_char(produc1237966615t_char,U_2128),U_2126)),U_2134)) ) ) ),
    inference(miniscope,[status(thm)],[f_413_2]) ).

fof(f_413_4,plain,
    ( ! [U_2137,U_2135] :
        ( ( ! [U_2133,U_2131] :
              ( hBOOL(hAPP_f1734260017l_bool(hAPP_P53416969l_bool(member894971540t_char,hAPP_l1648260346t_char(hAPP_l1105836155t_char(produc1237966615t_char,U_2133),U_2131)),U_2135))
              | ~ hBOOL(hAPP_f1734260017l_bool(hAPP_P53416969l_bool(member894971540t_char,hAPP_l1648260346t_char(hAPP_l1105836155t_char(produc1237966615t_char,U_2133),U_2131)),U_2137)) )
          & ! [U_2132,U_2130] :
              ( hBOOL(hAPP_f1734260017l_bool(hAPP_P53416969l_bool(member894971540t_char,hAPP_l1648260346t_char(hAPP_l1105836155t_char(produc1237966615t_char,U_2132),U_2130)),U_2137))
              | ~ hBOOL(hAPP_f1734260017l_bool(hAPP_P53416969l_bool(member894971540t_char,hAPP_l1648260346t_char(hAPP_l1105836155t_char(produc1237966615t_char,U_2132),U_2130)),U_2135)) ) )
        | U_2135 != U_2137 )
    & ! [U_2136,U_2134] :
        ( U_2134 = U_2136
        | ? [U_2129,U_2127] :
            ( ~ hBOOL(hAPP_f1734260017l_bool(hAPP_P53416969l_bool(member894971540t_char,hAPP_l1648260346t_char(hAPP_l1105836155t_char(produc1237966615t_char,U_2129),U_2127)),U_2134))
            & hBOOL(hAPP_f1734260017l_bool(hAPP_P53416969l_bool(member894971540t_char,hAPP_l1648260346t_char(hAPP_l1105836155t_char(produc1237966615t_char,U_2129),U_2127)),U_2136)) )
        | ? [U_2126] :
            ( ~ hBOOL(hAPP_f1734260017l_bool(hAPP_P53416969l_bool(member894971540t_char,hAPP_l1648260346t_char(hAPP_l1105836155t_char(produc1237966615t_char,sK424(U_2136,U_2134)),U_2126)),U_2136))
            & hBOOL(hAPP_f1734260017l_bool(hAPP_P53416969l_bool(member894971540t_char,hAPP_l1648260346t_char(hAPP_l1105836155t_char(produc1237966615t_char,sK424(U_2136,U_2134)),U_2126)),U_2134)) ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK424]),skolemize(U_2128,sK424(U_2136,U_2134))],[f_413_3]) ).

fof(f_413_5,plain,
    ( ! [U_2137,U_2135] :
        ( ( ! [U_2133,U_2131] :
              ( hBOOL(hAPP_f1734260017l_bool(hAPP_P53416969l_bool(member894971540t_char,hAPP_l1648260346t_char(hAPP_l1105836155t_char(produc1237966615t_char,U_2133),U_2131)),U_2135))
              | ~ hBOOL(hAPP_f1734260017l_bool(hAPP_P53416969l_bool(member894971540t_char,hAPP_l1648260346t_char(hAPP_l1105836155t_char(produc1237966615t_char,U_2133),U_2131)),U_2137)) )
          & ! [U_2132,U_2130] :
              ( hBOOL(hAPP_f1734260017l_bool(hAPP_P53416969l_bool(member894971540t_char,hAPP_l1648260346t_char(hAPP_l1105836155t_char(produc1237966615t_char,U_2132),U_2130)),U_2137))
              | ~ hBOOL(hAPP_f1734260017l_bool(hAPP_P53416969l_bool(member894971540t_char,hAPP_l1648260346t_char(hAPP_l1105836155t_char(produc1237966615t_char,U_2132),U_2130)),U_2135)) ) )
        | U_2135 != U_2137 )
    & ! [U_2136,U_2134] :
        ( U_2134 = U_2136
        | ? [U_2129,U_2127] :
            ( ~ hBOOL(hAPP_f1734260017l_bool(hAPP_P53416969l_bool(member894971540t_char,hAPP_l1648260346t_char(hAPP_l1105836155t_char(produc1237966615t_char,U_2129),U_2127)),U_2134))
            & hBOOL(hAPP_f1734260017l_bool(hAPP_P53416969l_bool(member894971540t_char,hAPP_l1648260346t_char(hAPP_l1105836155t_char(produc1237966615t_char,U_2129),U_2127)),U_2136)) )
        | ( ~ hBOOL(hAPP_f1734260017l_bool(hAPP_P53416969l_bool(member894971540t_char,hAPP_l1648260346t_char(hAPP_l1105836155t_char(produc1237966615t_char,sK424(U_2136,U_2134)),sK425(U_2136,U_2134))),U_2136))
          & hBOOL(hAPP_f1734260017l_bool(hAPP_P53416969l_bool(member894971540t_char,hAPP_l1648260346t_char(hAPP_l1105836155t_char(produc1237966615t_char,sK424(U_2136,U_2134)),sK425(U_2136,U_2134))),U_2134)) ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK425]),skolemize(U_2126,sK425(U_2136,U_2134))],[f_413_4]) ).

fof(f_413_6,plain,
    ( ! [U_2137,U_2135] :
        ( ( ! [U_2133,U_2131] :
              ( hBOOL(hAPP_f1734260017l_bool(hAPP_P53416969l_bool(member894971540t_char,hAPP_l1648260346t_char(hAPP_l1105836155t_char(produc1237966615t_char,U_2133),U_2131)),U_2135))
              | ~ hBOOL(hAPP_f1734260017l_bool(hAPP_P53416969l_bool(member894971540t_char,hAPP_l1648260346t_char(hAPP_l1105836155t_char(produc1237966615t_char,U_2133),U_2131)),U_2137)) )
          & ! [U_2132,U_2130] :
              ( hBOOL(hAPP_f1734260017l_bool(hAPP_P53416969l_bool(member894971540t_char,hAPP_l1648260346t_char(hAPP_l1105836155t_char(produc1237966615t_char,U_2132),U_2130)),U_2137))
              | ~ hBOOL(hAPP_f1734260017l_bool(hAPP_P53416969l_bool(member894971540t_char,hAPP_l1648260346t_char(hAPP_l1105836155t_char(produc1237966615t_char,U_2132),U_2130)),U_2135)) ) )
        | U_2135 != U_2137 )
    & ! [U_2136,U_2134] :
        ( U_2134 = U_2136
        | ? [U_2127] :
            ( ~ hBOOL(hAPP_f1734260017l_bool(hAPP_P53416969l_bool(member894971540t_char,hAPP_l1648260346t_char(hAPP_l1105836155t_char(produc1237966615t_char,sK426(U_2136,U_2134)),U_2127)),U_2134))
            & hBOOL(hAPP_f1734260017l_bool(hAPP_P53416969l_bool(member894971540t_char,hAPP_l1648260346t_char(hAPP_l1105836155t_char(produc1237966615t_char,sK426(U_2136,U_2134)),U_2127)),U_2136)) )
        | ( ~ hBOOL(hAPP_f1734260017l_bool(hAPP_P53416969l_bool(member894971540t_char,hAPP_l1648260346t_char(hAPP_l1105836155t_char(produc1237966615t_char,sK424(U_2136,U_2134)),sK425(U_2136,U_2134))),U_2136))
          & hBOOL(hAPP_f1734260017l_bool(hAPP_P53416969l_bool(member894971540t_char,hAPP_l1648260346t_char(hAPP_l1105836155t_char(produc1237966615t_char,sK424(U_2136,U_2134)),sK425(U_2136,U_2134))),U_2134)) ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK426]),skolemize(U_2129,sK426(U_2136,U_2134))],[f_413_5]) ).

fof(f_413_7,plain,
    ( ! [U_2137,U_2135] :
        ( ( ! [U_2133,U_2131] :
              ( hBOOL(hAPP_f1734260017l_bool(hAPP_P53416969l_bool(member894971540t_char,hAPP_l1648260346t_char(hAPP_l1105836155t_char(produc1237966615t_char,U_2133),U_2131)),U_2135))
              | ~ hBOOL(hAPP_f1734260017l_bool(hAPP_P53416969l_bool(member894971540t_char,hAPP_l1648260346t_char(hAPP_l1105836155t_char(produc1237966615t_char,U_2133),U_2131)),U_2137)) )
          & ! [U_2132,U_2130] :
              ( hBOOL(hAPP_f1734260017l_bool(hAPP_P53416969l_bool(member894971540t_char,hAPP_l1648260346t_char(hAPP_l1105836155t_char(produc1237966615t_char,U_2132),U_2130)),U_2137))
              | ~ hBOOL(hAPP_f1734260017l_bool(hAPP_P53416969l_bool(member894971540t_char,hAPP_l1648260346t_char(hAPP_l1105836155t_char(produc1237966615t_char,U_2132),U_2130)),U_2135)) ) )
        | U_2135 != U_2137 )
    & ! [U_2136,U_2134] :
        ( U_2134 = U_2136
        | ( ~ hBOOL(hAPP_f1734260017l_bool(hAPP_P53416969l_bool(member894971540t_char,hAPP_l1648260346t_char(hAPP_l1105836155t_char(produc1237966615t_char,sK426(U_2136,U_2134)),sK427(U_2136,U_2134))),U_2134))
          & hBOOL(hAPP_f1734260017l_bool(hAPP_P53416969l_bool(member894971540t_char,hAPP_l1648260346t_char(hAPP_l1105836155t_char(produc1237966615t_char,sK426(U_2136,U_2134)),sK427(U_2136,U_2134))),U_2136)) )
        | ( ~ hBOOL(hAPP_f1734260017l_bool(hAPP_P53416969l_bool(member894971540t_char,hAPP_l1648260346t_char(hAPP_l1105836155t_char(produc1237966615t_char,sK424(U_2136,U_2134)),sK425(U_2136,U_2134))),U_2136))
          & hBOOL(hAPP_f1734260017l_bool(hAPP_P53416969l_bool(member894971540t_char,hAPP_l1648260346t_char(hAPP_l1105836155t_char(produc1237966615t_char,sK424(U_2136,U_2134)),sK425(U_2136,U_2134))),U_2134)) ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK427]),skolemize(U_2127,sK427(U_2136,U_2134))],[f_413_6]) ).

cnf(f_413_8,plain,
    ( hBOOL(hAPP_f1734260017l_bool(hAPP_P53416969l_bool(member894971540t_char,hAPP_l1648260346t_char(hAPP_l1105836155t_char(produc1237966615t_char,sK426(U_2136,U_2134)),sK427(U_2136,U_2134))),U_2136))
    | hBOOL(hAPP_f1734260017l_bool(hAPP_P53416969l_bool(member894971540t_char,hAPP_l1648260346t_char(hAPP_l1105836155t_char(produc1237966615t_char,sK424(U_2136,U_2134)),sK425(U_2136,U_2134))),U_2134))
    | U_2134 = U_2136 ),
    inference(clausify,[status(thm)],[f_413_7]) ).

cnf(f_413_9,plain,
    ( ~ hBOOL(hAPP_f1734260017l_bool(hAPP_P53416969l_bool(member894971540t_char,hAPP_l1648260346t_char(hAPP_l1105836155t_char(produc1237966615t_char,sK426(U_2136,U_2134)),sK427(U_2136,U_2134))),U_2134))
    | hBOOL(hAPP_f1734260017l_bool(hAPP_P53416969l_bool(member894971540t_char,hAPP_l1648260346t_char(hAPP_l1105836155t_char(produc1237966615t_char,sK424(U_2136,U_2134)),sK425(U_2136,U_2134))),U_2134))
    | U_2134 = U_2136 ),
    inference(clausify,[status(thm)],[f_413_7]) ).

cnf(f_413_10,plain,
    ( hBOOL(hAPP_f1734260017l_bool(hAPP_P53416969l_bool(member894971540t_char,hAPP_l1648260346t_char(hAPP_l1105836155t_char(produc1237966615t_char,sK426(U_2136,U_2134)),sK427(U_2136,U_2134))),U_2136))
    | ~ hBOOL(hAPP_f1734260017l_bool(hAPP_P53416969l_bool(member894971540t_char,hAPP_l1648260346t_char(hAPP_l1105836155t_char(produc1237966615t_char,sK424(U_2136,U_2134)),sK425(U_2136,U_2134))),U_2136))
    | U_2134 = U_2136 ),
    inference(clausify,[status(thm)],[f_413_7]) ).

cnf(f_413_11,plain,
    ( ~ hBOOL(hAPP_f1734260017l_bool(hAPP_P53416969l_bool(member894971540t_char,hAPP_l1648260346t_char(hAPP_l1105836155t_char(produc1237966615t_char,sK426(U_2136,U_2134)),sK427(U_2136,U_2134))),U_2134))
    | ~ hBOOL(hAPP_f1734260017l_bool(hAPP_P53416969l_bool(member894971540t_char,hAPP_l1648260346t_char(hAPP_l1105836155t_char(produc1237966615t_char,sK424(U_2136,U_2134)),sK425(U_2136,U_2134))),U_2136))
    | U_2134 = U_2136 ),
    inference(clausify,[status(thm)],[f_413_7]) ).

cnf(f_413_12,plain,
    ( hBOOL(hAPP_f1734260017l_bool(hAPP_P53416969l_bool(member894971540t_char,hAPP_l1648260346t_char(hAPP_l1105836155t_char(produc1237966615t_char,U_2132),U_2130)),U_2137))
    | ~ hBOOL(hAPP_f1734260017l_bool(hAPP_P53416969l_bool(member894971540t_char,hAPP_l1648260346t_char(hAPP_l1105836155t_char(produc1237966615t_char,U_2132),U_2130)),U_2135))
    | U_2135 != U_2137 ),
    inference(clausify,[status(thm)],[f_413_7]) ).

cnf(f_413_13,plain,
    ( hBOOL(hAPP_f1734260017l_bool(hAPP_P53416969l_bool(member894971540t_char,hAPP_l1648260346t_char(hAPP_l1105836155t_char(produc1237966615t_char,U_2133),U_2131)),U_2135))
    | ~ hBOOL(hAPP_f1734260017l_bool(hAPP_P53416969l_bool(member894971540t_char,hAPP_l1648260346t_char(hAPP_l1105836155t_char(produc1237966615t_char,U_2133),U_2131)),U_2137))
    | U_2135 != U_2137 ),
    inference(clausify,[status(thm)],[f_413_7]) ).

fof(f_414_1,plain,
    ! [S_4,R_2] :
      ( ( ! [X_1,Xa] :
            ( ( hBOOL(hAPP_f588675559l_bool(hAPP_P1860450421l_bool(member1199939018t_char,hAPP_e817857447t_char(hAPP_e1376201919t_char(produc943465171t_char,X_1),Xa)),R_2))
              | ~ hBOOL(hAPP_f588675559l_bool(hAPP_P1860450421l_bool(member1199939018t_char,hAPP_e817857447t_char(hAPP_e1376201919t_char(produc943465171t_char,X_1),Xa)),S_4)) )
            & ( hBOOL(hAPP_f588675559l_bool(hAPP_P1860450421l_bool(member1199939018t_char,hAPP_e817857447t_char(hAPP_e1376201919t_char(produc943465171t_char,X_1),Xa)),S_4))
              | ~ hBOOL(hAPP_f588675559l_bool(hAPP_P1860450421l_bool(member1199939018t_char,hAPP_e817857447t_char(hAPP_e1376201919t_char(produc943465171t_char,X_1),Xa)),R_2)) ) )
        | R_2 != S_4 )
      & ( R_2 = S_4
        | ? [X_1,Xa] :
            ( ( ~ hBOOL(hAPP_f588675559l_bool(hAPP_P1860450421l_bool(member1199939018t_char,hAPP_e817857447t_char(hAPP_e1376201919t_char(produc943465171t_char,X_1),Xa)),R_2))
              & hBOOL(hAPP_f588675559l_bool(hAPP_P1860450421l_bool(member1199939018t_char,hAPP_e817857447t_char(hAPP_e1376201919t_char(produc943465171t_char,X_1),Xa)),S_4)) )
            | ( ~ hBOOL(hAPP_f588675559l_bool(hAPP_P1860450421l_bool(member1199939018t_char,hAPP_e817857447t_char(hAPP_e1376201919t_char(produc943465171t_char,X_1),Xa)),S_4))
              & hBOOL(hAPP_f588675559l_bool(hAPP_P1860450421l_bool(member1199939018t_char,hAPP_e817857447t_char(hAPP_e1376201919t_char(produc943465171t_char,X_1),Xa)),R_2)) ) ) ) ),
    inference(fof_nnf,[status(thm)],[fact_272_pred__equals__eq2]) ).

fof(f_414_2,plain,
    ! [U_2143,U_2142] :
      ( ( ! [U_2141,U_2140] :
            ( ( hBOOL(hAPP_f588675559l_bool(hAPP_P1860450421l_bool(member1199939018t_char,hAPP_e817857447t_char(hAPP_e1376201919t_char(produc943465171t_char,U_2141),U_2140)),U_2142))
              | ~ hBOOL(hAPP_f588675559l_bool(hAPP_P1860450421l_bool(member1199939018t_char,hAPP_e817857447t_char(hAPP_e1376201919t_char(produc943465171t_char,U_2141),U_2140)),U_2143)) )
            & ( hBOOL(hAPP_f588675559l_bool(hAPP_P1860450421l_bool(member1199939018t_char,hAPP_e817857447t_char(hAPP_e1376201919t_char(produc943465171t_char,U_2141),U_2140)),U_2143))
              | ~ hBOOL(hAPP_f588675559l_bool(hAPP_P1860450421l_bool(member1199939018t_char,hAPP_e817857447t_char(hAPP_e1376201919t_char(produc943465171t_char,U_2141),U_2140)),U_2142)) ) )
        | U_2142 != U_2143 )
      & ( U_2142 = U_2143
        | ? [U_2139,U_2138] :
            ( ( ~ hBOOL(hAPP_f588675559l_bool(hAPP_P1860450421l_bool(member1199939018t_char,hAPP_e817857447t_char(hAPP_e1376201919t_char(produc943465171t_char,U_2139),U_2138)),U_2142))
              & hBOOL(hAPP_f588675559l_bool(hAPP_P1860450421l_bool(member1199939018t_char,hAPP_e817857447t_char(hAPP_e1376201919t_char(produc943465171t_char,U_2139),U_2138)),U_2143)) )
            | ( ~ hBOOL(hAPP_f588675559l_bool(hAPP_P1860450421l_bool(member1199939018t_char,hAPP_e817857447t_char(hAPP_e1376201919t_char(produc943465171t_char,U_2139),U_2138)),U_2143))
              & hBOOL(hAPP_f588675559l_bool(hAPP_P1860450421l_bool(member1199939018t_char,hAPP_e817857447t_char(hAPP_e1376201919t_char(produc943465171t_char,U_2139),U_2138)),U_2142)) ) ) ) ),
    inference(variable_rename,[status(thm)],[f_414_1]) ).

fof(f_414_3,plain,
    ( ! [U_2155,U_2153] :
        ( ( ! [U_2151,U_2149] :
              ( hBOOL(hAPP_f588675559l_bool(hAPP_P1860450421l_bool(member1199939018t_char,hAPP_e817857447t_char(hAPP_e1376201919t_char(produc943465171t_char,U_2151),U_2149)),U_2153))
              | ~ hBOOL(hAPP_f588675559l_bool(hAPP_P1860450421l_bool(member1199939018t_char,hAPP_e817857447t_char(hAPP_e1376201919t_char(produc943465171t_char,U_2151),U_2149)),U_2155)) )
          & ! [U_2150,U_2148] :
              ( hBOOL(hAPP_f588675559l_bool(hAPP_P1860450421l_bool(member1199939018t_char,hAPP_e817857447t_char(hAPP_e1376201919t_char(produc943465171t_char,U_2150),U_2148)),U_2155))
              | ~ hBOOL(hAPP_f588675559l_bool(hAPP_P1860450421l_bool(member1199939018t_char,hAPP_e817857447t_char(hAPP_e1376201919t_char(produc943465171t_char,U_2150),U_2148)),U_2153)) ) )
        | U_2153 != U_2155 )
    & ! [U_2154,U_2152] :
        ( U_2152 = U_2154
        | ? [U_2147,U_2145] :
            ( ~ hBOOL(hAPP_f588675559l_bool(hAPP_P1860450421l_bool(member1199939018t_char,hAPP_e817857447t_char(hAPP_e1376201919t_char(produc943465171t_char,U_2147),U_2145)),U_2152))
            & hBOOL(hAPP_f588675559l_bool(hAPP_P1860450421l_bool(member1199939018t_char,hAPP_e817857447t_char(hAPP_e1376201919t_char(produc943465171t_char,U_2147),U_2145)),U_2154)) )
        | ? [U_2146,U_2144] :
            ( ~ hBOOL(hAPP_f588675559l_bool(hAPP_P1860450421l_bool(member1199939018t_char,hAPP_e817857447t_char(hAPP_e1376201919t_char(produc943465171t_char,U_2146),U_2144)),U_2154))
            & hBOOL(hAPP_f588675559l_bool(hAPP_P1860450421l_bool(member1199939018t_char,hAPP_e817857447t_char(hAPP_e1376201919t_char(produc943465171t_char,U_2146),U_2144)),U_2152)) ) ) ),
    inference(miniscope,[status(thm)],[f_414_2]) ).

fof(f_414_4,plain,
    ( ! [U_2155,U_2153] :
        ( ( ! [U_2151,U_2149] :
              ( hBOOL(hAPP_f588675559l_bool(hAPP_P1860450421l_bool(member1199939018t_char,hAPP_e817857447t_char(hAPP_e1376201919t_char(produc943465171t_char,U_2151),U_2149)),U_2153))
              | ~ hBOOL(hAPP_f588675559l_bool(hAPP_P1860450421l_bool(member1199939018t_char,hAPP_e817857447t_char(hAPP_e1376201919t_char(produc943465171t_char,U_2151),U_2149)),U_2155)) )
          & ! [U_2150,U_2148] :
              ( hBOOL(hAPP_f588675559l_bool(hAPP_P1860450421l_bool(member1199939018t_char,hAPP_e817857447t_char(hAPP_e1376201919t_char(produc943465171t_char,U_2150),U_2148)),U_2155))
              | ~ hBOOL(hAPP_f588675559l_bool(hAPP_P1860450421l_bool(member1199939018t_char,hAPP_e817857447t_char(hAPP_e1376201919t_char(produc943465171t_char,U_2150),U_2148)),U_2153)) ) )
        | U_2153 != U_2155 )
    & ! [U_2154,U_2152] :
        ( U_2152 = U_2154
        | ? [U_2147,U_2145] :
            ( ~ hBOOL(hAPP_f588675559l_bool(hAPP_P1860450421l_bool(member1199939018t_char,hAPP_e817857447t_char(hAPP_e1376201919t_char(produc943465171t_char,U_2147),U_2145)),U_2152))
            & hBOOL(hAPP_f588675559l_bool(hAPP_P1860450421l_bool(member1199939018t_char,hAPP_e817857447t_char(hAPP_e1376201919t_char(produc943465171t_char,U_2147),U_2145)),U_2154)) )
        | ? [U_2144] :
            ( ~ hBOOL(hAPP_f588675559l_bool(hAPP_P1860450421l_bool(member1199939018t_char,hAPP_e817857447t_char(hAPP_e1376201919t_char(produc943465171t_char,sK428(U_2154,U_2152)),U_2144)),U_2154))
            & hBOOL(hAPP_f588675559l_bool(hAPP_P1860450421l_bool(member1199939018t_char,hAPP_e817857447t_char(hAPP_e1376201919t_char(produc943465171t_char,sK428(U_2154,U_2152)),U_2144)),U_2152)) ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK428]),skolemize(U_2146,sK428(U_2154,U_2152))],[f_414_3]) ).

fof(f_414_5,plain,
    ( ! [U_2155,U_2153] :
        ( ( ! [U_2151,U_2149] :
              ( hBOOL(hAPP_f588675559l_bool(hAPP_P1860450421l_bool(member1199939018t_char,hAPP_e817857447t_char(hAPP_e1376201919t_char(produc943465171t_char,U_2151),U_2149)),U_2153))
              | ~ hBOOL(hAPP_f588675559l_bool(hAPP_P1860450421l_bool(member1199939018t_char,hAPP_e817857447t_char(hAPP_e1376201919t_char(produc943465171t_char,U_2151),U_2149)),U_2155)) )
          & ! [U_2150,U_2148] :
              ( hBOOL(hAPP_f588675559l_bool(hAPP_P1860450421l_bool(member1199939018t_char,hAPP_e817857447t_char(hAPP_e1376201919t_char(produc943465171t_char,U_2150),U_2148)),U_2155))
              | ~ hBOOL(hAPP_f588675559l_bool(hAPP_P1860450421l_bool(member1199939018t_char,hAPP_e817857447t_char(hAPP_e1376201919t_char(produc943465171t_char,U_2150),U_2148)),U_2153)) ) )
        | U_2153 != U_2155 )
    & ! [U_2154,U_2152] :
        ( U_2152 = U_2154
        | ? [U_2147,U_2145] :
            ( ~ hBOOL(hAPP_f588675559l_bool(hAPP_P1860450421l_bool(member1199939018t_char,hAPP_e817857447t_char(hAPP_e1376201919t_char(produc943465171t_char,U_2147),U_2145)),U_2152))
            & hBOOL(hAPP_f588675559l_bool(hAPP_P1860450421l_bool(member1199939018t_char,hAPP_e817857447t_char(hAPP_e1376201919t_char(produc943465171t_char,U_2147),U_2145)),U_2154)) )
        | ( ~ hBOOL(hAPP_f588675559l_bool(hAPP_P1860450421l_bool(member1199939018t_char,hAPP_e817857447t_char(hAPP_e1376201919t_char(produc943465171t_char,sK428(U_2154,U_2152)),sK429(U_2154,U_2152))),U_2154))
          & hBOOL(hAPP_f588675559l_bool(hAPP_P1860450421l_bool(member1199939018t_char,hAPP_e817857447t_char(hAPP_e1376201919t_char(produc943465171t_char,sK428(U_2154,U_2152)),sK429(U_2154,U_2152))),U_2152)) ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK429]),skolemize(U_2144,sK429(U_2154,U_2152))],[f_414_4]) ).

fof(f_414_6,plain,
    ( ! [U_2155,U_2153] :
        ( ( ! [U_2151,U_2149] :
              ( hBOOL(hAPP_f588675559l_bool(hAPP_P1860450421l_bool(member1199939018t_char,hAPP_e817857447t_char(hAPP_e1376201919t_char(produc943465171t_char,U_2151),U_2149)),U_2153))
              | ~ hBOOL(hAPP_f588675559l_bool(hAPP_P1860450421l_bool(member1199939018t_char,hAPP_e817857447t_char(hAPP_e1376201919t_char(produc943465171t_char,U_2151),U_2149)),U_2155)) )
          & ! [U_2150,U_2148] :
              ( hBOOL(hAPP_f588675559l_bool(hAPP_P1860450421l_bool(member1199939018t_char,hAPP_e817857447t_char(hAPP_e1376201919t_char(produc943465171t_char,U_2150),U_2148)),U_2155))
              | ~ hBOOL(hAPP_f588675559l_bool(hAPP_P1860450421l_bool(member1199939018t_char,hAPP_e817857447t_char(hAPP_e1376201919t_char(produc943465171t_char,U_2150),U_2148)),U_2153)) ) )
        | U_2153 != U_2155 )
    & ! [U_2154,U_2152] :
        ( U_2152 = U_2154
        | ? [U_2145] :
            ( ~ hBOOL(hAPP_f588675559l_bool(hAPP_P1860450421l_bool(member1199939018t_char,hAPP_e817857447t_char(hAPP_e1376201919t_char(produc943465171t_char,sK430(U_2154,U_2152)),U_2145)),U_2152))
            & hBOOL(hAPP_f588675559l_bool(hAPP_P1860450421l_bool(member1199939018t_char,hAPP_e817857447t_char(hAPP_e1376201919t_char(produc943465171t_char,sK430(U_2154,U_2152)),U_2145)),U_2154)) )
        | ( ~ hBOOL(hAPP_f588675559l_bool(hAPP_P1860450421l_bool(member1199939018t_char,hAPP_e817857447t_char(hAPP_e1376201919t_char(produc943465171t_char,sK428(U_2154,U_2152)),sK429(U_2154,U_2152))),U_2154))
          & hBOOL(hAPP_f588675559l_bool(hAPP_P1860450421l_bool(member1199939018t_char,hAPP_e817857447t_char(hAPP_e1376201919t_char(produc943465171t_char,sK428(U_2154,U_2152)),sK429(U_2154,U_2152))),U_2152)) ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK430]),skolemize(U_2147,sK430(U_2154,U_2152))],[f_414_5]) ).

fof(f_414_7,plain,
    ( ! [U_2155,U_2153] :
        ( ( ! [U_2151,U_2149] :
              ( hBOOL(hAPP_f588675559l_bool(hAPP_P1860450421l_bool(member1199939018t_char,hAPP_e817857447t_char(hAPP_e1376201919t_char(produc943465171t_char,U_2151),U_2149)),U_2153))
              | ~ hBOOL(hAPP_f588675559l_bool(hAPP_P1860450421l_bool(member1199939018t_char,hAPP_e817857447t_char(hAPP_e1376201919t_char(produc943465171t_char,U_2151),U_2149)),U_2155)) )
          & ! [U_2150,U_2148] :
              ( hBOOL(hAPP_f588675559l_bool(hAPP_P1860450421l_bool(member1199939018t_char,hAPP_e817857447t_char(hAPP_e1376201919t_char(produc943465171t_char,U_2150),U_2148)),U_2155))
              | ~ hBOOL(hAPP_f588675559l_bool(hAPP_P1860450421l_bool(member1199939018t_char,hAPP_e817857447t_char(hAPP_e1376201919t_char(produc943465171t_char,U_2150),U_2148)),U_2153)) ) )
        | U_2153 != U_2155 )
    & ! [U_2154,U_2152] :
        ( U_2152 = U_2154
        | ( ~ hBOOL(hAPP_f588675559l_bool(hAPP_P1860450421l_bool(member1199939018t_char,hAPP_e817857447t_char(hAPP_e1376201919t_char(produc943465171t_char,sK430(U_2154,U_2152)),sK431(U_2154,U_2152))),U_2152))
          & hBOOL(hAPP_f588675559l_bool(hAPP_P1860450421l_bool(member1199939018t_char,hAPP_e817857447t_char(hAPP_e1376201919t_char(produc943465171t_char,sK430(U_2154,U_2152)),sK431(U_2154,U_2152))),U_2154)) )
        | ( ~ hBOOL(hAPP_f588675559l_bool(hAPP_P1860450421l_bool(member1199939018t_char,hAPP_e817857447t_char(hAPP_e1376201919t_char(produc943465171t_char,sK428(U_2154,U_2152)),sK429(U_2154,U_2152))),U_2154))
          & hBOOL(hAPP_f588675559l_bool(hAPP_P1860450421l_bool(member1199939018t_char,hAPP_e817857447t_char(hAPP_e1376201919t_char(produc943465171t_char,sK428(U_2154,U_2152)),sK429(U_2154,U_2152))),U_2152)) ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK431]),skolemize(U_2145,sK431(U_2154,U_2152))],[f_414_6]) ).

cnf(f_414_8,plain,
    ( hBOOL(hAPP_f588675559l_bool(hAPP_P1860450421l_bool(member1199939018t_char,hAPP_e817857447t_char(hAPP_e1376201919t_char(produc943465171t_char,sK430(U_2154,U_2152)),sK431(U_2154,U_2152))),U_2154))
    | hBOOL(hAPP_f588675559l_bool(hAPP_P1860450421l_bool(member1199939018t_char,hAPP_e817857447t_char(hAPP_e1376201919t_char(produc943465171t_char,sK428(U_2154,U_2152)),sK429(U_2154,U_2152))),U_2152))
    | U_2152 = U_2154 ),
    inference(clausify,[status(thm)],[f_414_7]) ).

cnf(f_414_9,plain,
    ( ~ hBOOL(hAPP_f588675559l_bool(hAPP_P1860450421l_bool(member1199939018t_char,hAPP_e817857447t_char(hAPP_e1376201919t_char(produc943465171t_char,sK430(U_2154,U_2152)),sK431(U_2154,U_2152))),U_2152))
    | hBOOL(hAPP_f588675559l_bool(hAPP_P1860450421l_bool(member1199939018t_char,hAPP_e817857447t_char(hAPP_e1376201919t_char(produc943465171t_char,sK428(U_2154,U_2152)),sK429(U_2154,U_2152))),U_2152))
    | U_2152 = U_2154 ),
    inference(clausify,[status(thm)],[f_414_7]) ).

cnf(f_414_10,plain,
    ( hBOOL(hAPP_f588675559l_bool(hAPP_P1860450421l_bool(member1199939018t_char,hAPP_e817857447t_char(hAPP_e1376201919t_char(produc943465171t_char,sK430(U_2154,U_2152)),sK431(U_2154,U_2152))),U_2154))
    | ~ hBOOL(hAPP_f588675559l_bool(hAPP_P1860450421l_bool(member1199939018t_char,hAPP_e817857447t_char(hAPP_e1376201919t_char(produc943465171t_char,sK428(U_2154,U_2152)),sK429(U_2154,U_2152))),U_2154))
    | U_2152 = U_2154 ),
    inference(clausify,[status(thm)],[f_414_7]) ).

cnf(f_414_11,plain,
    ( ~ hBOOL(hAPP_f588675559l_bool(hAPP_P1860450421l_bool(member1199939018t_char,hAPP_e817857447t_char(hAPP_e1376201919t_char(produc943465171t_char,sK430(U_2154,U_2152)),sK431(U_2154,U_2152))),U_2152))
    | ~ hBOOL(hAPP_f588675559l_bool(hAPP_P1860450421l_bool(member1199939018t_char,hAPP_e817857447t_char(hAPP_e1376201919t_char(produc943465171t_char,sK428(U_2154,U_2152)),sK429(U_2154,U_2152))),U_2154))
    | U_2152 = U_2154 ),
    inference(clausify,[status(thm)],[f_414_7]) ).

cnf(f_414_12,plain,
    ( hBOOL(hAPP_f588675559l_bool(hAPP_P1860450421l_bool(member1199939018t_char,hAPP_e817857447t_char(hAPP_e1376201919t_char(produc943465171t_char,U_2150),U_2148)),U_2155))
    | ~ hBOOL(hAPP_f588675559l_bool(hAPP_P1860450421l_bool(member1199939018t_char,hAPP_e817857447t_char(hAPP_e1376201919t_char(produc943465171t_char,U_2150),U_2148)),U_2153))
    | U_2153 != U_2155 ),
    inference(clausify,[status(thm)],[f_414_7]) ).

cnf(f_414_13,plain,
    ( hBOOL(hAPP_f588675559l_bool(hAPP_P1860450421l_bool(member1199939018t_char,hAPP_e817857447t_char(hAPP_e1376201919t_char(produc943465171t_char,U_2151),U_2149)),U_2153))
    | ~ hBOOL(hAPP_f588675559l_bool(hAPP_P1860450421l_bool(member1199939018t_char,hAPP_e817857447t_char(hAPP_e1376201919t_char(produc943465171t_char,U_2151),U_2149)),U_2155))
    | U_2153 != U_2155 ),
    inference(clausify,[status(thm)],[f_414_7]) ).

fof(f_415_1,plain,
    ! [S_4,R_2] :
      ( ( ! [X_1,Xa] :
            ( ( hBOOL(hAPP_f479632753l_bool(hAPP_P153687689l_bool(member817832404t_char,hAPP_l1883348915t_char(hAPP_l2019537453t_char(produc2035944023t_char,X_1),Xa)),R_2))
              | ~ hBOOL(hAPP_f479632753l_bool(hAPP_P153687689l_bool(member817832404t_char,hAPP_l1883348915t_char(hAPP_l2019537453t_char(produc2035944023t_char,X_1),Xa)),S_4)) )
            & ( hBOOL(hAPP_f479632753l_bool(hAPP_P153687689l_bool(member817832404t_char,hAPP_l1883348915t_char(hAPP_l2019537453t_char(produc2035944023t_char,X_1),Xa)),S_4))
              | ~ hBOOL(hAPP_f479632753l_bool(hAPP_P153687689l_bool(member817832404t_char,hAPP_l1883348915t_char(hAPP_l2019537453t_char(produc2035944023t_char,X_1),Xa)),R_2)) ) )
        | R_2 != S_4 )
      & ( R_2 = S_4
        | ? [X_1,Xa] :
            ( ( ~ hBOOL(hAPP_f479632753l_bool(hAPP_P153687689l_bool(member817832404t_char,hAPP_l1883348915t_char(hAPP_l2019537453t_char(produc2035944023t_char,X_1),Xa)),R_2))
              & hBOOL(hAPP_f479632753l_bool(hAPP_P153687689l_bool(member817832404t_char,hAPP_l1883348915t_char(hAPP_l2019537453t_char(produc2035944023t_char,X_1),Xa)),S_4)) )
            | ( ~ hBOOL(hAPP_f479632753l_bool(hAPP_P153687689l_bool(member817832404t_char,hAPP_l1883348915t_char(hAPP_l2019537453t_char(produc2035944023t_char,X_1),Xa)),S_4))
              & hBOOL(hAPP_f479632753l_bool(hAPP_P153687689l_bool(member817832404t_char,hAPP_l1883348915t_char(hAPP_l2019537453t_char(produc2035944023t_char,X_1),Xa)),R_2)) ) ) ) ),
    inference(fof_nnf,[status(thm)],[fact_273_pred__equals__eq2]) ).

fof(f_415_2,plain,
    ! [U_2161,U_2160] :
      ( ( ! [U_2159,U_2158] :
            ( ( hBOOL(hAPP_f479632753l_bool(hAPP_P153687689l_bool(member817832404t_char,hAPP_l1883348915t_char(hAPP_l2019537453t_char(produc2035944023t_char,U_2159),U_2158)),U_2160))
              | ~ hBOOL(hAPP_f479632753l_bool(hAPP_P153687689l_bool(member817832404t_char,hAPP_l1883348915t_char(hAPP_l2019537453t_char(produc2035944023t_char,U_2159),U_2158)),U_2161)) )
            & ( hBOOL(hAPP_f479632753l_bool(hAPP_P153687689l_bool(member817832404t_char,hAPP_l1883348915t_char(hAPP_l2019537453t_char(produc2035944023t_char,U_2159),U_2158)),U_2161))
              | ~ hBOOL(hAPP_f479632753l_bool(hAPP_P153687689l_bool(member817832404t_char,hAPP_l1883348915t_char(hAPP_l2019537453t_char(produc2035944023t_char,U_2159),U_2158)),U_2160)) ) )
        | U_2160 != U_2161 )
      & ( U_2160 = U_2161
        | ? [U_2157,U_2156] :
            ( ( ~ hBOOL(hAPP_f479632753l_bool(hAPP_P153687689l_bool(member817832404t_char,hAPP_l1883348915t_char(hAPP_l2019537453t_char(produc2035944023t_char,U_2157),U_2156)),U_2160))
              & hBOOL(hAPP_f479632753l_bool(hAPP_P153687689l_bool(member817832404t_char,hAPP_l1883348915t_char(hAPP_l2019537453t_char(produc2035944023t_char,U_2157),U_2156)),U_2161)) )
            | ( ~ hBOOL(hAPP_f479632753l_bool(hAPP_P153687689l_bool(member817832404t_char,hAPP_l1883348915t_char(hAPP_l2019537453t_char(produc2035944023t_char,U_2157),U_2156)),U_2161))
              & hBOOL(hAPP_f479632753l_bool(hAPP_P153687689l_bool(member817832404t_char,hAPP_l1883348915t_char(hAPP_l2019537453t_char(produc2035944023t_char,U_2157),U_2156)),U_2160)) ) ) ) ),
    inference(variable_rename,[status(thm)],[f_415_1]) ).

fof(f_415_3,plain,
    ( ! [U_2173,U_2171] :
        ( ( ! [U_2169,U_2167] :
              ( hBOOL(hAPP_f479632753l_bool(hAPP_P153687689l_bool(member817832404t_char,hAPP_l1883348915t_char(hAPP_l2019537453t_char(produc2035944023t_char,U_2169),U_2167)),U_2171))
              | ~ hBOOL(hAPP_f479632753l_bool(hAPP_P153687689l_bool(member817832404t_char,hAPP_l1883348915t_char(hAPP_l2019537453t_char(produc2035944023t_char,U_2169),U_2167)),U_2173)) )
          & ! [U_2168,U_2166] :
              ( hBOOL(hAPP_f479632753l_bool(hAPP_P153687689l_bool(member817832404t_char,hAPP_l1883348915t_char(hAPP_l2019537453t_char(produc2035944023t_char,U_2168),U_2166)),U_2173))
              | ~ hBOOL(hAPP_f479632753l_bool(hAPP_P153687689l_bool(member817832404t_char,hAPP_l1883348915t_char(hAPP_l2019537453t_char(produc2035944023t_char,U_2168),U_2166)),U_2171)) ) )
        | U_2171 != U_2173 )
    & ! [U_2172,U_2170] :
        ( U_2170 = U_2172
        | ? [U_2165,U_2163] :
            ( ~ hBOOL(hAPP_f479632753l_bool(hAPP_P153687689l_bool(member817832404t_char,hAPP_l1883348915t_char(hAPP_l2019537453t_char(produc2035944023t_char,U_2165),U_2163)),U_2170))
            & hBOOL(hAPP_f479632753l_bool(hAPP_P153687689l_bool(member817832404t_char,hAPP_l1883348915t_char(hAPP_l2019537453t_char(produc2035944023t_char,U_2165),U_2163)),U_2172)) )
        | ? [U_2164,U_2162] :
            ( ~ hBOOL(hAPP_f479632753l_bool(hAPP_P153687689l_bool(member817832404t_char,hAPP_l1883348915t_char(hAPP_l2019537453t_char(produc2035944023t_char,U_2164),U_2162)),U_2172))
            & hBOOL(hAPP_f479632753l_bool(hAPP_P153687689l_bool(member817832404t_char,hAPP_l1883348915t_char(hAPP_l2019537453t_char(produc2035944023t_char,U_2164),U_2162)),U_2170)) ) ) ),
    inference(miniscope,[status(thm)],[f_415_2]) ).

fof(f_415_4,plain,
    ( ! [U_2173,U_2171] :
        ( ( ! [U_2169,U_2167] :
              ( hBOOL(hAPP_f479632753l_bool(hAPP_P153687689l_bool(member817832404t_char,hAPP_l1883348915t_char(hAPP_l2019537453t_char(produc2035944023t_char,U_2169),U_2167)),U_2171))
              | ~ hBOOL(hAPP_f479632753l_bool(hAPP_P153687689l_bool(member817832404t_char,hAPP_l1883348915t_char(hAPP_l2019537453t_char(produc2035944023t_char,U_2169),U_2167)),U_2173)) )
          & ! [U_2168,U_2166] :
              ( hBOOL(hAPP_f479632753l_bool(hAPP_P153687689l_bool(member817832404t_char,hAPP_l1883348915t_char(hAPP_l2019537453t_char(produc2035944023t_char,U_2168),U_2166)),U_2173))
              | ~ hBOOL(hAPP_f479632753l_bool(hAPP_P153687689l_bool(member817832404t_char,hAPP_l1883348915t_char(hAPP_l2019537453t_char(produc2035944023t_char,U_2168),U_2166)),U_2171)) ) )
        | U_2171 != U_2173 )
    & ! [U_2172,U_2170] :
        ( U_2170 = U_2172
        | ? [U_2165,U_2163] :
            ( ~ hBOOL(hAPP_f479632753l_bool(hAPP_P153687689l_bool(member817832404t_char,hAPP_l1883348915t_char(hAPP_l2019537453t_char(produc2035944023t_char,U_2165),U_2163)),U_2170))
            & hBOOL(hAPP_f479632753l_bool(hAPP_P153687689l_bool(member817832404t_char,hAPP_l1883348915t_char(hAPP_l2019537453t_char(produc2035944023t_char,U_2165),U_2163)),U_2172)) )
        | ? [U_2162] :
            ( ~ hBOOL(hAPP_f479632753l_bool(hAPP_P153687689l_bool(member817832404t_char,hAPP_l1883348915t_char(hAPP_l2019537453t_char(produc2035944023t_char,sK432(U_2172,U_2170)),U_2162)),U_2172))
            & hBOOL(hAPP_f479632753l_bool(hAPP_P153687689l_bool(member817832404t_char,hAPP_l1883348915t_char(hAPP_l2019537453t_char(produc2035944023t_char,sK432(U_2172,U_2170)),U_2162)),U_2170)) ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK432]),skolemize(U_2164,sK432(U_2172,U_2170))],[f_415_3]) ).

fof(f_415_5,plain,
    ( ! [U_2173,U_2171] :
        ( ( ! [U_2169,U_2167] :
              ( hBOOL(hAPP_f479632753l_bool(hAPP_P153687689l_bool(member817832404t_char,hAPP_l1883348915t_char(hAPP_l2019537453t_char(produc2035944023t_char,U_2169),U_2167)),U_2171))
              | ~ hBOOL(hAPP_f479632753l_bool(hAPP_P153687689l_bool(member817832404t_char,hAPP_l1883348915t_char(hAPP_l2019537453t_char(produc2035944023t_char,U_2169),U_2167)),U_2173)) )
          & ! [U_2168,U_2166] :
              ( hBOOL(hAPP_f479632753l_bool(hAPP_P153687689l_bool(member817832404t_char,hAPP_l1883348915t_char(hAPP_l2019537453t_char(produc2035944023t_char,U_2168),U_2166)),U_2173))
              | ~ hBOOL(hAPP_f479632753l_bool(hAPP_P153687689l_bool(member817832404t_char,hAPP_l1883348915t_char(hAPP_l2019537453t_char(produc2035944023t_char,U_2168),U_2166)),U_2171)) ) )
        | U_2171 != U_2173 )
    & ! [U_2172,U_2170] :
        ( U_2170 = U_2172
        | ? [U_2165,U_2163] :
            ( ~ hBOOL(hAPP_f479632753l_bool(hAPP_P153687689l_bool(member817832404t_char,hAPP_l1883348915t_char(hAPP_l2019537453t_char(produc2035944023t_char,U_2165),U_2163)),U_2170))
            & hBOOL(hAPP_f479632753l_bool(hAPP_P153687689l_bool(member817832404t_char,hAPP_l1883348915t_char(hAPP_l2019537453t_char(produc2035944023t_char,U_2165),U_2163)),U_2172)) )
        | ( ~ hBOOL(hAPP_f479632753l_bool(hAPP_P153687689l_bool(member817832404t_char,hAPP_l1883348915t_char(hAPP_l2019537453t_char(produc2035944023t_char,sK432(U_2172,U_2170)),sK433(U_2172,U_2170))),U_2172))
          & hBOOL(hAPP_f479632753l_bool(hAPP_P153687689l_bool(member817832404t_char,hAPP_l1883348915t_char(hAPP_l2019537453t_char(produc2035944023t_char,sK432(U_2172,U_2170)),sK433(U_2172,U_2170))),U_2170)) ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK433]),skolemize(U_2162,sK433(U_2172,U_2170))],[f_415_4]) ).

fof(f_415_6,plain,
    ( ! [U_2173,U_2171] :
        ( ( ! [U_2169,U_2167] :
              ( hBOOL(hAPP_f479632753l_bool(hAPP_P153687689l_bool(member817832404t_char,hAPP_l1883348915t_char(hAPP_l2019537453t_char(produc2035944023t_char,U_2169),U_2167)),U_2171))
              | ~ hBOOL(hAPP_f479632753l_bool(hAPP_P153687689l_bool(member817832404t_char,hAPP_l1883348915t_char(hAPP_l2019537453t_char(produc2035944023t_char,U_2169),U_2167)),U_2173)) )
          & ! [U_2168,U_2166] :
              ( hBOOL(hAPP_f479632753l_bool(hAPP_P153687689l_bool(member817832404t_char,hAPP_l1883348915t_char(hAPP_l2019537453t_char(produc2035944023t_char,U_2168),U_2166)),U_2173))
              | ~ hBOOL(hAPP_f479632753l_bool(hAPP_P153687689l_bool(member817832404t_char,hAPP_l1883348915t_char(hAPP_l2019537453t_char(produc2035944023t_char,U_2168),U_2166)),U_2171)) ) )
        | U_2171 != U_2173 )
    & ! [U_2172,U_2170] :
        ( U_2170 = U_2172
        | ? [U_2163] :
            ( ~ hBOOL(hAPP_f479632753l_bool(hAPP_P153687689l_bool(member817832404t_char,hAPP_l1883348915t_char(hAPP_l2019537453t_char(produc2035944023t_char,sK434(U_2172,U_2170)),U_2163)),U_2170))
            & hBOOL(hAPP_f479632753l_bool(hAPP_P153687689l_bool(member817832404t_char,hAPP_l1883348915t_char(hAPP_l2019537453t_char(produc2035944023t_char,sK434(U_2172,U_2170)),U_2163)),U_2172)) )
        | ( ~ hBOOL(hAPP_f479632753l_bool(hAPP_P153687689l_bool(member817832404t_char,hAPP_l1883348915t_char(hAPP_l2019537453t_char(produc2035944023t_char,sK432(U_2172,U_2170)),sK433(U_2172,U_2170))),U_2172))
          & hBOOL(hAPP_f479632753l_bool(hAPP_P153687689l_bool(member817832404t_char,hAPP_l1883348915t_char(hAPP_l2019537453t_char(produc2035944023t_char,sK432(U_2172,U_2170)),sK433(U_2172,U_2170))),U_2170)) ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK434]),skolemize(U_2165,sK434(U_2172,U_2170))],[f_415_5]) ).

fof(f_415_7,plain,
    ( ! [U_2173,U_2171] :
        ( ( ! [U_2169,U_2167] :
              ( hBOOL(hAPP_f479632753l_bool(hAPP_P153687689l_bool(member817832404t_char,hAPP_l1883348915t_char(hAPP_l2019537453t_char(produc2035944023t_char,U_2169),U_2167)),U_2171))
              | ~ hBOOL(hAPP_f479632753l_bool(hAPP_P153687689l_bool(member817832404t_char,hAPP_l1883348915t_char(hAPP_l2019537453t_char(produc2035944023t_char,U_2169),U_2167)),U_2173)) )
          & ! [U_2168,U_2166] :
              ( hBOOL(hAPP_f479632753l_bool(hAPP_P153687689l_bool(member817832404t_char,hAPP_l1883348915t_char(hAPP_l2019537453t_char(produc2035944023t_char,U_2168),U_2166)),U_2173))
              | ~ hBOOL(hAPP_f479632753l_bool(hAPP_P153687689l_bool(member817832404t_char,hAPP_l1883348915t_char(hAPP_l2019537453t_char(produc2035944023t_char,U_2168),U_2166)),U_2171)) ) )
        | U_2171 != U_2173 )
    & ! [U_2172,U_2170] :
        ( U_2170 = U_2172
        | ( ~ hBOOL(hAPP_f479632753l_bool(hAPP_P153687689l_bool(member817832404t_char,hAPP_l1883348915t_char(hAPP_l2019537453t_char(produc2035944023t_char,sK434(U_2172,U_2170)),sK435(U_2172,U_2170))),U_2170))
          & hBOOL(hAPP_f479632753l_bool(hAPP_P153687689l_bool(member817832404t_char,hAPP_l1883348915t_char(hAPP_l2019537453t_char(produc2035944023t_char,sK434(U_2172,U_2170)),sK435(U_2172,U_2170))),U_2172)) )
        | ( ~ hBOOL(hAPP_f479632753l_bool(hAPP_P153687689l_bool(member817832404t_char,hAPP_l1883348915t_char(hAPP_l2019537453t_char(produc2035944023t_char,sK432(U_2172,U_2170)),sK433(U_2172,U_2170))),U_2172))
          & hBOOL(hAPP_f479632753l_bool(hAPP_P153687689l_bool(member817832404t_char,hAPP_l1883348915t_char(hAPP_l2019537453t_char(produc2035944023t_char,sK432(U_2172,U_2170)),sK433(U_2172,U_2170))),U_2170)) ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK435]),skolemize(U_2163,sK435(U_2172,U_2170))],[f_415_6]) ).

cnf(f_415_8,plain,
    ( hBOOL(hAPP_f479632753l_bool(hAPP_P153687689l_bool(member817832404t_char,hAPP_l1883348915t_char(hAPP_l2019537453t_char(produc2035944023t_char,sK434(U_2172,U_2170)),sK435(U_2172,U_2170))),U_2172))
    | hBOOL(hAPP_f479632753l_bool(hAPP_P153687689l_bool(member817832404t_char,hAPP_l1883348915t_char(hAPP_l2019537453t_char(produc2035944023t_char,sK432(U_2172,U_2170)),sK433(U_2172,U_2170))),U_2170))
    | U_2170 = U_2172 ),
    inference(clausify,[status(thm)],[f_415_7]) ).

cnf(f_415_9,plain,
    ( ~ hBOOL(hAPP_f479632753l_bool(hAPP_P153687689l_bool(member817832404t_char,hAPP_l1883348915t_char(hAPP_l2019537453t_char(produc2035944023t_char,sK434(U_2172,U_2170)),sK435(U_2172,U_2170))),U_2170))
    | hBOOL(hAPP_f479632753l_bool(hAPP_P153687689l_bool(member817832404t_char,hAPP_l1883348915t_char(hAPP_l2019537453t_char(produc2035944023t_char,sK432(U_2172,U_2170)),sK433(U_2172,U_2170))),U_2170))
    | U_2170 = U_2172 ),
    inference(clausify,[status(thm)],[f_415_7]) ).

cnf(f_415_10,plain,
    ( hBOOL(hAPP_f479632753l_bool(hAPP_P153687689l_bool(member817832404t_char,hAPP_l1883348915t_char(hAPP_l2019537453t_char(produc2035944023t_char,sK434(U_2172,U_2170)),sK435(U_2172,U_2170))),U_2172))
    | ~ hBOOL(hAPP_f479632753l_bool(hAPP_P153687689l_bool(member817832404t_char,hAPP_l1883348915t_char(hAPP_l2019537453t_char(produc2035944023t_char,sK432(U_2172,U_2170)),sK433(U_2172,U_2170))),U_2172))
    | U_2170 = U_2172 ),
    inference(clausify,[status(thm)],[f_415_7]) ).

cnf(f_415_11,plain,
    ( ~ hBOOL(hAPP_f479632753l_bool(hAPP_P153687689l_bool(member817832404t_char,hAPP_l1883348915t_char(hAPP_l2019537453t_char(produc2035944023t_char,sK434(U_2172,U_2170)),sK435(U_2172,U_2170))),U_2170))
    | ~ hBOOL(hAPP_f479632753l_bool(hAPP_P153687689l_bool(member817832404t_char,hAPP_l1883348915t_char(hAPP_l2019537453t_char(produc2035944023t_char,sK432(U_2172,U_2170)),sK433(U_2172,U_2170))),U_2172))
    | U_2170 = U_2172 ),
    inference(clausify,[status(thm)],[f_415_7]) ).

cnf(f_415_12,plain,
    ( hBOOL(hAPP_f479632753l_bool(hAPP_P153687689l_bool(member817832404t_char,hAPP_l1883348915t_char(hAPP_l2019537453t_char(produc2035944023t_char,U_2168),U_2166)),U_2173))
    | ~ hBOOL(hAPP_f479632753l_bool(hAPP_P153687689l_bool(member817832404t_char,hAPP_l1883348915t_char(hAPP_l2019537453t_char(produc2035944023t_char,U_2168),U_2166)),U_2171))
    | U_2171 != U_2173 ),
    inference(clausify,[status(thm)],[f_415_7]) ).

cnf(f_415_13,plain,
    ( hBOOL(hAPP_f479632753l_bool(hAPP_P153687689l_bool(member817832404t_char,hAPP_l1883348915t_char(hAPP_l2019537453t_char(produc2035944023t_char,U_2169),U_2167)),U_2171))
    | ~ hBOOL(hAPP_f479632753l_bool(hAPP_P153687689l_bool(member817832404t_char,hAPP_l1883348915t_char(hAPP_l2019537453t_char(produc2035944023t_char,U_2169),U_2167)),U_2173))
    | U_2171 != U_2173 ),
    inference(clausify,[status(thm)],[f_415_7]) ).

fof(f_416_1,plain,
    ! [S_4,R_2] :
      ( ( ! [X_1,Xa] :
            ( ( hBOOL(hAPP_f288221747l_bool(hAPP_P569585933l_bool(member520253462har_ty,hAPP_l1294856089har_ty(hAPP_l1657578379har_ty(produc1860789535har_ty,X_1),Xa)),R_2))
              | ~ hBOOL(hAPP_f288221747l_bool(hAPP_P569585933l_bool(member520253462har_ty,hAPP_l1294856089har_ty(hAPP_l1657578379har_ty(produc1860789535har_ty,X_1),Xa)),S_4)) )
            & ( hBOOL(hAPP_f288221747l_bool(hAPP_P569585933l_bool(member520253462har_ty,hAPP_l1294856089har_ty(hAPP_l1657578379har_ty(produc1860789535har_ty,X_1),Xa)),S_4))
              | ~ hBOOL(hAPP_f288221747l_bool(hAPP_P569585933l_bool(member520253462har_ty,hAPP_l1294856089har_ty(hAPP_l1657578379har_ty(produc1860789535har_ty,X_1),Xa)),R_2)) ) )
        | R_2 != S_4 )
      & ( R_2 = S_4
        | ? [X_1,Xa] :
            ( ( ~ hBOOL(hAPP_f288221747l_bool(hAPP_P569585933l_bool(member520253462har_ty,hAPP_l1294856089har_ty(hAPP_l1657578379har_ty(produc1860789535har_ty,X_1),Xa)),R_2))
              & hBOOL(hAPP_f288221747l_bool(hAPP_P569585933l_bool(member520253462har_ty,hAPP_l1294856089har_ty(hAPP_l1657578379har_ty(produc1860789535har_ty,X_1),Xa)),S_4)) )
            | ( ~ hBOOL(hAPP_f288221747l_bool(hAPP_P569585933l_bool(member520253462har_ty,hAPP_l1294856089har_ty(hAPP_l1657578379har_ty(produc1860789535har_ty,X_1),Xa)),S_4))
              & hBOOL(hAPP_f288221747l_bool(hAPP_P569585933l_bool(member520253462har_ty,hAPP_l1294856089har_ty(hAPP_l1657578379har_ty(produc1860789535har_ty,X_1),Xa)),R_2)) ) ) ) ),
    inference(fof_nnf,[status(thm)],[fact_274_pred__equals__eq2]) ).

fof(f_416_2,plain,
    ! [U_2179,U_2178] :
      ( ( ! [U_2177,U_2176] :
            ( ( hBOOL(hAPP_f288221747l_bool(hAPP_P569585933l_bool(member520253462har_ty,hAPP_l1294856089har_ty(hAPP_l1657578379har_ty(produc1860789535har_ty,U_2177),U_2176)),U_2178))
              | ~ hBOOL(hAPP_f288221747l_bool(hAPP_P569585933l_bool(member520253462har_ty,hAPP_l1294856089har_ty(hAPP_l1657578379har_ty(produc1860789535har_ty,U_2177),U_2176)),U_2179)) )
            & ( hBOOL(hAPP_f288221747l_bool(hAPP_P569585933l_bool(member520253462har_ty,hAPP_l1294856089har_ty(hAPP_l1657578379har_ty(produc1860789535har_ty,U_2177),U_2176)),U_2179))
              | ~ hBOOL(hAPP_f288221747l_bool(hAPP_P569585933l_bool(member520253462har_ty,hAPP_l1294856089har_ty(hAPP_l1657578379har_ty(produc1860789535har_ty,U_2177),U_2176)),U_2178)) ) )
        | U_2178 != U_2179 )
      & ( U_2178 = U_2179
        | ? [U_2175,U_2174] :
            ( ( ~ hBOOL(hAPP_f288221747l_bool(hAPP_P569585933l_bool(member520253462har_ty,hAPP_l1294856089har_ty(hAPP_l1657578379har_ty(produc1860789535har_ty,U_2175),U_2174)),U_2178))
              & hBOOL(hAPP_f288221747l_bool(hAPP_P569585933l_bool(member520253462har_ty,hAPP_l1294856089har_ty(hAPP_l1657578379har_ty(produc1860789535har_ty,U_2175),U_2174)),U_2179)) )
            | ( ~ hBOOL(hAPP_f288221747l_bool(hAPP_P569585933l_bool(member520253462har_ty,hAPP_l1294856089har_ty(hAPP_l1657578379har_ty(produc1860789535har_ty,U_2175),U_2174)),U_2179))
              & hBOOL(hAPP_f288221747l_bool(hAPP_P569585933l_bool(member520253462har_ty,hAPP_l1294856089har_ty(hAPP_l1657578379har_ty(produc1860789535har_ty,U_2175),U_2174)),U_2178)) ) ) ) ),
    inference(variable_rename,[status(thm)],[f_416_1]) ).

fof(f_416_3,plain,
    ( ! [U_2191,U_2189] :
        ( ( ! [U_2187,U_2185] :
              ( hBOOL(hAPP_f288221747l_bool(hAPP_P569585933l_bool(member520253462har_ty,hAPP_l1294856089har_ty(hAPP_l1657578379har_ty(produc1860789535har_ty,U_2187),U_2185)),U_2189))
              | ~ hBOOL(hAPP_f288221747l_bool(hAPP_P569585933l_bool(member520253462har_ty,hAPP_l1294856089har_ty(hAPP_l1657578379har_ty(produc1860789535har_ty,U_2187),U_2185)),U_2191)) )
          & ! [U_2186,U_2184] :
              ( hBOOL(hAPP_f288221747l_bool(hAPP_P569585933l_bool(member520253462har_ty,hAPP_l1294856089har_ty(hAPP_l1657578379har_ty(produc1860789535har_ty,U_2186),U_2184)),U_2191))
              | ~ hBOOL(hAPP_f288221747l_bool(hAPP_P569585933l_bool(member520253462har_ty,hAPP_l1294856089har_ty(hAPP_l1657578379har_ty(produc1860789535har_ty,U_2186),U_2184)),U_2189)) ) )
        | U_2189 != U_2191 )
    & ! [U_2190,U_2188] :
        ( U_2188 = U_2190
        | ? [U_2183,U_2181] :
            ( ~ hBOOL(hAPP_f288221747l_bool(hAPP_P569585933l_bool(member520253462har_ty,hAPP_l1294856089har_ty(hAPP_l1657578379har_ty(produc1860789535har_ty,U_2183),U_2181)),U_2188))
            & hBOOL(hAPP_f288221747l_bool(hAPP_P569585933l_bool(member520253462har_ty,hAPP_l1294856089har_ty(hAPP_l1657578379har_ty(produc1860789535har_ty,U_2183),U_2181)),U_2190)) )
        | ? [U_2182,U_2180] :
            ( ~ hBOOL(hAPP_f288221747l_bool(hAPP_P569585933l_bool(member520253462har_ty,hAPP_l1294856089har_ty(hAPP_l1657578379har_ty(produc1860789535har_ty,U_2182),U_2180)),U_2190))
            & hBOOL(hAPP_f288221747l_bool(hAPP_P569585933l_bool(member520253462har_ty,hAPP_l1294856089har_ty(hAPP_l1657578379har_ty(produc1860789535har_ty,U_2182),U_2180)),U_2188)) ) ) ),
    inference(miniscope,[status(thm)],[f_416_2]) ).

fof(f_416_4,plain,
    ( ! [U_2191,U_2189] :
        ( ( ! [U_2187,U_2185] :
              ( hBOOL(hAPP_f288221747l_bool(hAPP_P569585933l_bool(member520253462har_ty,hAPP_l1294856089har_ty(hAPP_l1657578379har_ty(produc1860789535har_ty,U_2187),U_2185)),U_2189))
              | ~ hBOOL(hAPP_f288221747l_bool(hAPP_P569585933l_bool(member520253462har_ty,hAPP_l1294856089har_ty(hAPP_l1657578379har_ty(produc1860789535har_ty,U_2187),U_2185)),U_2191)) )
          & ! [U_2186,U_2184] :
              ( hBOOL(hAPP_f288221747l_bool(hAPP_P569585933l_bool(member520253462har_ty,hAPP_l1294856089har_ty(hAPP_l1657578379har_ty(produc1860789535har_ty,U_2186),U_2184)),U_2191))
              | ~ hBOOL(hAPP_f288221747l_bool(hAPP_P569585933l_bool(member520253462har_ty,hAPP_l1294856089har_ty(hAPP_l1657578379har_ty(produc1860789535har_ty,U_2186),U_2184)),U_2189)) ) )
        | U_2189 != U_2191 )
    & ! [U_2190,U_2188] :
        ( U_2188 = U_2190
        | ? [U_2183,U_2181] :
            ( ~ hBOOL(hAPP_f288221747l_bool(hAPP_P569585933l_bool(member520253462har_ty,hAPP_l1294856089har_ty(hAPP_l1657578379har_ty(produc1860789535har_ty,U_2183),U_2181)),U_2188))
            & hBOOL(hAPP_f288221747l_bool(hAPP_P569585933l_bool(member520253462har_ty,hAPP_l1294856089har_ty(hAPP_l1657578379har_ty(produc1860789535har_ty,U_2183),U_2181)),U_2190)) )
        | ? [U_2180] :
            ( ~ hBOOL(hAPP_f288221747l_bool(hAPP_P569585933l_bool(member520253462har_ty,hAPP_l1294856089har_ty(hAPP_l1657578379har_ty(produc1860789535har_ty,sK436(U_2190,U_2188)),U_2180)),U_2190))
            & hBOOL(hAPP_f288221747l_bool(hAPP_P569585933l_bool(member520253462har_ty,hAPP_l1294856089har_ty(hAPP_l1657578379har_ty(produc1860789535har_ty,sK436(U_2190,U_2188)),U_2180)),U_2188)) ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK436]),skolemize(U_2182,sK436(U_2190,U_2188))],[f_416_3]) ).

fof(f_416_5,plain,
    ( ! [U_2191,U_2189] :
        ( ( ! [U_2187,U_2185] :
              ( hBOOL(hAPP_f288221747l_bool(hAPP_P569585933l_bool(member520253462har_ty,hAPP_l1294856089har_ty(hAPP_l1657578379har_ty(produc1860789535har_ty,U_2187),U_2185)),U_2189))
              | ~ hBOOL(hAPP_f288221747l_bool(hAPP_P569585933l_bool(member520253462har_ty,hAPP_l1294856089har_ty(hAPP_l1657578379har_ty(produc1860789535har_ty,U_2187),U_2185)),U_2191)) )
          & ! [U_2186,U_2184] :
              ( hBOOL(hAPP_f288221747l_bool(hAPP_P569585933l_bool(member520253462har_ty,hAPP_l1294856089har_ty(hAPP_l1657578379har_ty(produc1860789535har_ty,U_2186),U_2184)),U_2191))
              | ~ hBOOL(hAPP_f288221747l_bool(hAPP_P569585933l_bool(member520253462har_ty,hAPP_l1294856089har_ty(hAPP_l1657578379har_ty(produc1860789535har_ty,U_2186),U_2184)),U_2189)) ) )
        | U_2189 != U_2191 )
    & ! [U_2190,U_2188] :
        ( U_2188 = U_2190
        | ? [U_2183,U_2181] :
            ( ~ hBOOL(hAPP_f288221747l_bool(hAPP_P569585933l_bool(member520253462har_ty,hAPP_l1294856089har_ty(hAPP_l1657578379har_ty(produc1860789535har_ty,U_2183),U_2181)),U_2188))
            & hBOOL(hAPP_f288221747l_bool(hAPP_P569585933l_bool(member520253462har_ty,hAPP_l1294856089har_ty(hAPP_l1657578379har_ty(produc1860789535har_ty,U_2183),U_2181)),U_2190)) )
        | ( ~ hBOOL(hAPP_f288221747l_bool(hAPP_P569585933l_bool(member520253462har_ty,hAPP_l1294856089har_ty(hAPP_l1657578379har_ty(produc1860789535har_ty,sK436(U_2190,U_2188)),sK437(U_2190,U_2188))),U_2190))
          & hBOOL(hAPP_f288221747l_bool(hAPP_P569585933l_bool(member520253462har_ty,hAPP_l1294856089har_ty(hAPP_l1657578379har_ty(produc1860789535har_ty,sK436(U_2190,U_2188)),sK437(U_2190,U_2188))),U_2188)) ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK437]),skolemize(U_2180,sK437(U_2190,U_2188))],[f_416_4]) ).

fof(f_416_6,plain,
    ( ! [U_2191,U_2189] :
        ( ( ! [U_2187,U_2185] :
              ( hBOOL(hAPP_f288221747l_bool(hAPP_P569585933l_bool(member520253462har_ty,hAPP_l1294856089har_ty(hAPP_l1657578379har_ty(produc1860789535har_ty,U_2187),U_2185)),U_2189))
              | ~ hBOOL(hAPP_f288221747l_bool(hAPP_P569585933l_bool(member520253462har_ty,hAPP_l1294856089har_ty(hAPP_l1657578379har_ty(produc1860789535har_ty,U_2187),U_2185)),U_2191)) )
          & ! [U_2186,U_2184] :
              ( hBOOL(hAPP_f288221747l_bool(hAPP_P569585933l_bool(member520253462har_ty,hAPP_l1294856089har_ty(hAPP_l1657578379har_ty(produc1860789535har_ty,U_2186),U_2184)),U_2191))
              | ~ hBOOL(hAPP_f288221747l_bool(hAPP_P569585933l_bool(member520253462har_ty,hAPP_l1294856089har_ty(hAPP_l1657578379har_ty(produc1860789535har_ty,U_2186),U_2184)),U_2189)) ) )
        | U_2189 != U_2191 )
    & ! [U_2190,U_2188] :
        ( U_2188 = U_2190
        | ? [U_2181] :
            ( ~ hBOOL(hAPP_f288221747l_bool(hAPP_P569585933l_bool(member520253462har_ty,hAPP_l1294856089har_ty(hAPP_l1657578379har_ty(produc1860789535har_ty,sK438(U_2190,U_2188)),U_2181)),U_2188))
            & hBOOL(hAPP_f288221747l_bool(hAPP_P569585933l_bool(member520253462har_ty,hAPP_l1294856089har_ty(hAPP_l1657578379har_ty(produc1860789535har_ty,sK438(U_2190,U_2188)),U_2181)),U_2190)) )
        | ( ~ hBOOL(hAPP_f288221747l_bool(hAPP_P569585933l_bool(member520253462har_ty,hAPP_l1294856089har_ty(hAPP_l1657578379har_ty(produc1860789535har_ty,sK436(U_2190,U_2188)),sK437(U_2190,U_2188))),U_2190))
          & hBOOL(hAPP_f288221747l_bool(hAPP_P569585933l_bool(member520253462har_ty,hAPP_l1294856089har_ty(hAPP_l1657578379har_ty(produc1860789535har_ty,sK436(U_2190,U_2188)),sK437(U_2190,U_2188))),U_2188)) ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK438]),skolemize(U_2183,sK438(U_2190,U_2188))],[f_416_5]) ).

fof(f_416_7,plain,
    ( ! [U_2191,U_2189] :
        ( ( ! [U_2187,U_2185] :
              ( hBOOL(hAPP_f288221747l_bool(hAPP_P569585933l_bool(member520253462har_ty,hAPP_l1294856089har_ty(hAPP_l1657578379har_ty(produc1860789535har_ty,U_2187),U_2185)),U_2189))
              | ~ hBOOL(hAPP_f288221747l_bool(hAPP_P569585933l_bool(member520253462har_ty,hAPP_l1294856089har_ty(hAPP_l1657578379har_ty(produc1860789535har_ty,U_2187),U_2185)),U_2191)) )
          & ! [U_2186,U_2184] :
              ( hBOOL(hAPP_f288221747l_bool(hAPP_P569585933l_bool(member520253462har_ty,hAPP_l1294856089har_ty(hAPP_l1657578379har_ty(produc1860789535har_ty,U_2186),U_2184)),U_2191))
              | ~ hBOOL(hAPP_f288221747l_bool(hAPP_P569585933l_bool(member520253462har_ty,hAPP_l1294856089har_ty(hAPP_l1657578379har_ty(produc1860789535har_ty,U_2186),U_2184)),U_2189)) ) )
        | U_2189 != U_2191 )
    & ! [U_2190,U_2188] :
        ( U_2188 = U_2190
        | ( ~ hBOOL(hAPP_f288221747l_bool(hAPP_P569585933l_bool(member520253462har_ty,hAPP_l1294856089har_ty(hAPP_l1657578379har_ty(produc1860789535har_ty,sK438(U_2190,U_2188)),sK439(U_2190,U_2188))),U_2188))
          & hBOOL(hAPP_f288221747l_bool(hAPP_P569585933l_bool(member520253462har_ty,hAPP_l1294856089har_ty(hAPP_l1657578379har_ty(produc1860789535har_ty,sK438(U_2190,U_2188)),sK439(U_2190,U_2188))),U_2190)) )
        | ( ~ hBOOL(hAPP_f288221747l_bool(hAPP_P569585933l_bool(member520253462har_ty,hAPP_l1294856089har_ty(hAPP_l1657578379har_ty(produc1860789535har_ty,sK436(U_2190,U_2188)),sK437(U_2190,U_2188))),U_2190))
          & hBOOL(hAPP_f288221747l_bool(hAPP_P569585933l_bool(member520253462har_ty,hAPP_l1294856089har_ty(hAPP_l1657578379har_ty(produc1860789535har_ty,sK436(U_2190,U_2188)),sK437(U_2190,U_2188))),U_2188)) ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK439]),skolemize(U_2181,sK439(U_2190,U_2188))],[f_416_6]) ).

cnf(f_416_8,plain,
    ( hBOOL(hAPP_f288221747l_bool(hAPP_P569585933l_bool(member520253462har_ty,hAPP_l1294856089har_ty(hAPP_l1657578379har_ty(produc1860789535har_ty,sK438(U_2190,U_2188)),sK439(U_2190,U_2188))),U_2190))
    | hBOOL(hAPP_f288221747l_bool(hAPP_P569585933l_bool(member520253462har_ty,hAPP_l1294856089har_ty(hAPP_l1657578379har_ty(produc1860789535har_ty,sK436(U_2190,U_2188)),sK437(U_2190,U_2188))),U_2188))
    | U_2188 = U_2190 ),
    inference(clausify,[status(thm)],[f_416_7]) ).

cnf(f_416_9,plain,
    ( ~ hBOOL(hAPP_f288221747l_bool(hAPP_P569585933l_bool(member520253462har_ty,hAPP_l1294856089har_ty(hAPP_l1657578379har_ty(produc1860789535har_ty,sK438(U_2190,U_2188)),sK439(U_2190,U_2188))),U_2188))
    | hBOOL(hAPP_f288221747l_bool(hAPP_P569585933l_bool(member520253462har_ty,hAPP_l1294856089har_ty(hAPP_l1657578379har_ty(produc1860789535har_ty,sK436(U_2190,U_2188)),sK437(U_2190,U_2188))),U_2188))
    | U_2188 = U_2190 ),
    inference(clausify,[status(thm)],[f_416_7]) ).

cnf(f_416_10,plain,
    ( hBOOL(hAPP_f288221747l_bool(hAPP_P569585933l_bool(member520253462har_ty,hAPP_l1294856089har_ty(hAPP_l1657578379har_ty(produc1860789535har_ty,sK438(U_2190,U_2188)),sK439(U_2190,U_2188))),U_2190))
    | ~ hBOOL(hAPP_f288221747l_bool(hAPP_P569585933l_bool(member520253462har_ty,hAPP_l1294856089har_ty(hAPP_l1657578379har_ty(produc1860789535har_ty,sK436(U_2190,U_2188)),sK437(U_2190,U_2188))),U_2190))
    | U_2188 = U_2190 ),
    inference(clausify,[status(thm)],[f_416_7]) ).

cnf(f_416_11,plain,
    ( ~ hBOOL(hAPP_f288221747l_bool(hAPP_P569585933l_bool(member520253462har_ty,hAPP_l1294856089har_ty(hAPP_l1657578379har_ty(produc1860789535har_ty,sK438(U_2190,U_2188)),sK439(U_2190,U_2188))),U_2188))
    | ~ hBOOL(hAPP_f288221747l_bool(hAPP_P569585933l_bool(member520253462har_ty,hAPP_l1294856089har_ty(hAPP_l1657578379har_ty(produc1860789535har_ty,sK436(U_2190,U_2188)),sK437(U_2190,U_2188))),U_2190))
    | U_2188 = U_2190 ),
    inference(clausify,[status(thm)],[f_416_7]) ).

cnf(f_416_12,plain,
    ( hBOOL(hAPP_f288221747l_bool(hAPP_P569585933l_bool(member520253462har_ty,hAPP_l1294856089har_ty(hAPP_l1657578379har_ty(produc1860789535har_ty,U_2186),U_2184)),U_2191))
    | ~ hBOOL(hAPP_f288221747l_bool(hAPP_P569585933l_bool(member520253462har_ty,hAPP_l1294856089har_ty(hAPP_l1657578379har_ty(produc1860789535har_ty,U_2186),U_2184)),U_2189))
    | U_2189 != U_2191 ),
    inference(clausify,[status(thm)],[f_416_7]) ).

cnf(f_416_13,plain,
    ( hBOOL(hAPP_f288221747l_bool(hAPP_P569585933l_bool(member520253462har_ty,hAPP_l1294856089har_ty(hAPP_l1657578379har_ty(produc1860789535har_ty,U_2187),U_2185)),U_2189))
    | ~ hBOOL(hAPP_f288221747l_bool(hAPP_P569585933l_bool(member520253462har_ty,hAPP_l1294856089har_ty(hAPP_l1657578379har_ty(produc1860789535har_ty,U_2187),U_2185)),U_2191))
    | U_2189 != U_2191 ),
    inference(clausify,[status(thm)],[f_416_7]) ).

fof(f_417_1,plain,
    ! [S_4,R_2] :
      ( ( ! [X_1,Xa] :
            ( ( hBOOL(hAPP_f1748390065l_bool(hAPP_P1503283977l_bool(member1580476948t_char,hAPP_l1334098948t_char(hAPP_l1450984463t_char(produc436875159t_char,X_1),Xa)),R_2))
              | ~ hBOOL(hAPP_f1748390065l_bool(hAPP_P1503283977l_bool(member1580476948t_char,hAPP_l1334098948t_char(hAPP_l1450984463t_char(produc436875159t_char,X_1),Xa)),S_4)) )
            & ( hBOOL(hAPP_f1748390065l_bool(hAPP_P1503283977l_bool(member1580476948t_char,hAPP_l1334098948t_char(hAPP_l1450984463t_char(produc436875159t_char,X_1),Xa)),S_4))
              | ~ hBOOL(hAPP_f1748390065l_bool(hAPP_P1503283977l_bool(member1580476948t_char,hAPP_l1334098948t_char(hAPP_l1450984463t_char(produc436875159t_char,X_1),Xa)),R_2)) ) )
        | R_2 != S_4 )
      & ( R_2 = S_4
        | ? [X_1,Xa] :
            ( ( ~ hBOOL(hAPP_f1748390065l_bool(hAPP_P1503283977l_bool(member1580476948t_char,hAPP_l1334098948t_char(hAPP_l1450984463t_char(produc436875159t_char,X_1),Xa)),R_2))
              & hBOOL(hAPP_f1748390065l_bool(hAPP_P1503283977l_bool(member1580476948t_char,hAPP_l1334098948t_char(hAPP_l1450984463t_char(produc436875159t_char,X_1),Xa)),S_4)) )
            | ( ~ hBOOL(hAPP_f1748390065l_bool(hAPP_P1503283977l_bool(member1580476948t_char,hAPP_l1334098948t_char(hAPP_l1450984463t_char(produc436875159t_char,X_1),Xa)),S_4))
              & hBOOL(hAPP_f1748390065l_bool(hAPP_P1503283977l_bool(member1580476948t_char,hAPP_l1334098948t_char(hAPP_l1450984463t_char(produc436875159t_char,X_1),Xa)),R_2)) ) ) ) ),
    inference(fof_nnf,[status(thm)],[fact_275_pred__equals__eq2]) ).

fof(f_417_2,plain,
    ! [U_2197,U_2196] :
      ( ( ! [U_2195,U_2194] :
            ( ( hBOOL(hAPP_f1748390065l_bool(hAPP_P1503283977l_bool(member1580476948t_char,hAPP_l1334098948t_char(hAPP_l1450984463t_char(produc436875159t_char,U_2195),U_2194)),U_2196))
              | ~ hBOOL(hAPP_f1748390065l_bool(hAPP_P1503283977l_bool(member1580476948t_char,hAPP_l1334098948t_char(hAPP_l1450984463t_char(produc436875159t_char,U_2195),U_2194)),U_2197)) )
            & ( hBOOL(hAPP_f1748390065l_bool(hAPP_P1503283977l_bool(member1580476948t_char,hAPP_l1334098948t_char(hAPP_l1450984463t_char(produc436875159t_char,U_2195),U_2194)),U_2197))
              | ~ hBOOL(hAPP_f1748390065l_bool(hAPP_P1503283977l_bool(member1580476948t_char,hAPP_l1334098948t_char(hAPP_l1450984463t_char(produc436875159t_char,U_2195),U_2194)),U_2196)) ) )
        | U_2196 != U_2197 )
      & ( U_2196 = U_2197
        | ? [U_2193,U_2192] :
            ( ( ~ hBOOL(hAPP_f1748390065l_bool(hAPP_P1503283977l_bool(member1580476948t_char,hAPP_l1334098948t_char(hAPP_l1450984463t_char(produc436875159t_char,U_2193),U_2192)),U_2196))
              & hBOOL(hAPP_f1748390065l_bool(hAPP_P1503283977l_bool(member1580476948t_char,hAPP_l1334098948t_char(hAPP_l1450984463t_char(produc436875159t_char,U_2193),U_2192)),U_2197)) )
            | ( ~ hBOOL(hAPP_f1748390065l_bool(hAPP_P1503283977l_bool(member1580476948t_char,hAPP_l1334098948t_char(hAPP_l1450984463t_char(produc436875159t_char,U_2193),U_2192)),U_2197))
              & hBOOL(hAPP_f1748390065l_bool(hAPP_P1503283977l_bool(member1580476948t_char,hAPP_l1334098948t_char(hAPP_l1450984463t_char(produc436875159t_char,U_2193),U_2192)),U_2196)) ) ) ) ),
    inference(variable_rename,[status(thm)],[f_417_1]) ).

fof(f_417_3,plain,
    ( ! [U_2209,U_2207] :
        ( ( ! [U_2205,U_2203] :
              ( hBOOL(hAPP_f1748390065l_bool(hAPP_P1503283977l_bool(member1580476948t_char,hAPP_l1334098948t_char(hAPP_l1450984463t_char(produc436875159t_char,U_2205),U_2203)),U_2207))
              | ~ hBOOL(hAPP_f1748390065l_bool(hAPP_P1503283977l_bool(member1580476948t_char,hAPP_l1334098948t_char(hAPP_l1450984463t_char(produc436875159t_char,U_2205),U_2203)),U_2209)) )
          & ! [U_2204,U_2202] :
              ( hBOOL(hAPP_f1748390065l_bool(hAPP_P1503283977l_bool(member1580476948t_char,hAPP_l1334098948t_char(hAPP_l1450984463t_char(produc436875159t_char,U_2204),U_2202)),U_2209))
              | ~ hBOOL(hAPP_f1748390065l_bool(hAPP_P1503283977l_bool(member1580476948t_char,hAPP_l1334098948t_char(hAPP_l1450984463t_char(produc436875159t_char,U_2204),U_2202)),U_2207)) ) )
        | U_2207 != U_2209 )
    & ! [U_2208,U_2206] :
        ( U_2206 = U_2208
        | ? [U_2201,U_2199] :
            ( ~ hBOOL(hAPP_f1748390065l_bool(hAPP_P1503283977l_bool(member1580476948t_char,hAPP_l1334098948t_char(hAPP_l1450984463t_char(produc436875159t_char,U_2201),U_2199)),U_2206))
            & hBOOL(hAPP_f1748390065l_bool(hAPP_P1503283977l_bool(member1580476948t_char,hAPP_l1334098948t_char(hAPP_l1450984463t_char(produc436875159t_char,U_2201),U_2199)),U_2208)) )
        | ? [U_2200,U_2198] :
            ( ~ hBOOL(hAPP_f1748390065l_bool(hAPP_P1503283977l_bool(member1580476948t_char,hAPP_l1334098948t_char(hAPP_l1450984463t_char(produc436875159t_char,U_2200),U_2198)),U_2208))
            & hBOOL(hAPP_f1748390065l_bool(hAPP_P1503283977l_bool(member1580476948t_char,hAPP_l1334098948t_char(hAPP_l1450984463t_char(produc436875159t_char,U_2200),U_2198)),U_2206)) ) ) ),
    inference(miniscope,[status(thm)],[f_417_2]) ).

fof(f_417_4,plain,
    ( ! [U_2209,U_2207] :
        ( ( ! [U_2205,U_2203] :
              ( hBOOL(hAPP_f1748390065l_bool(hAPP_P1503283977l_bool(member1580476948t_char,hAPP_l1334098948t_char(hAPP_l1450984463t_char(produc436875159t_char,U_2205),U_2203)),U_2207))
              | ~ hBOOL(hAPP_f1748390065l_bool(hAPP_P1503283977l_bool(member1580476948t_char,hAPP_l1334098948t_char(hAPP_l1450984463t_char(produc436875159t_char,U_2205),U_2203)),U_2209)) )
          & ! [U_2204,U_2202] :
              ( hBOOL(hAPP_f1748390065l_bool(hAPP_P1503283977l_bool(member1580476948t_char,hAPP_l1334098948t_char(hAPP_l1450984463t_char(produc436875159t_char,U_2204),U_2202)),U_2209))
              | ~ hBOOL(hAPP_f1748390065l_bool(hAPP_P1503283977l_bool(member1580476948t_char,hAPP_l1334098948t_char(hAPP_l1450984463t_char(produc436875159t_char,U_2204),U_2202)),U_2207)) ) )
        | U_2207 != U_2209 )
    & ! [U_2208,U_2206] :
        ( U_2206 = U_2208
        | ? [U_2201,U_2199] :
            ( ~ hBOOL(hAPP_f1748390065l_bool(hAPP_P1503283977l_bool(member1580476948t_char,hAPP_l1334098948t_char(hAPP_l1450984463t_char(produc436875159t_char,U_2201),U_2199)),U_2206))
            & hBOOL(hAPP_f1748390065l_bool(hAPP_P1503283977l_bool(member1580476948t_char,hAPP_l1334098948t_char(hAPP_l1450984463t_char(produc436875159t_char,U_2201),U_2199)),U_2208)) )
        | ? [U_2198] :
            ( ~ hBOOL(hAPP_f1748390065l_bool(hAPP_P1503283977l_bool(member1580476948t_char,hAPP_l1334098948t_char(hAPP_l1450984463t_char(produc436875159t_char,sK440(U_2208,U_2206)),U_2198)),U_2208))
            & hBOOL(hAPP_f1748390065l_bool(hAPP_P1503283977l_bool(member1580476948t_char,hAPP_l1334098948t_char(hAPP_l1450984463t_char(produc436875159t_char,sK440(U_2208,U_2206)),U_2198)),U_2206)) ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK440]),skolemize(U_2200,sK440(U_2208,U_2206))],[f_417_3]) ).

fof(f_417_5,plain,
    ( ! [U_2209,U_2207] :
        ( ( ! [U_2205,U_2203] :
              ( hBOOL(hAPP_f1748390065l_bool(hAPP_P1503283977l_bool(member1580476948t_char,hAPP_l1334098948t_char(hAPP_l1450984463t_char(produc436875159t_char,U_2205),U_2203)),U_2207))
              | ~ hBOOL(hAPP_f1748390065l_bool(hAPP_P1503283977l_bool(member1580476948t_char,hAPP_l1334098948t_char(hAPP_l1450984463t_char(produc436875159t_char,U_2205),U_2203)),U_2209)) )
          & ! [U_2204,U_2202] :
              ( hBOOL(hAPP_f1748390065l_bool(hAPP_P1503283977l_bool(member1580476948t_char,hAPP_l1334098948t_char(hAPP_l1450984463t_char(produc436875159t_char,U_2204),U_2202)),U_2209))
              | ~ hBOOL(hAPP_f1748390065l_bool(hAPP_P1503283977l_bool(member1580476948t_char,hAPP_l1334098948t_char(hAPP_l1450984463t_char(produc436875159t_char,U_2204),U_2202)),U_2207)) ) )
        | U_2207 != U_2209 )
    & ! [U_2208,U_2206] :
        ( U_2206 = U_2208
        | ? [U_2201,U_2199] :
            ( ~ hBOOL(hAPP_f1748390065l_bool(hAPP_P1503283977l_bool(member1580476948t_char,hAPP_l1334098948t_char(hAPP_l1450984463t_char(produc436875159t_char,U_2201),U_2199)),U_2206))
            & hBOOL(hAPP_f1748390065l_bool(hAPP_P1503283977l_bool(member1580476948t_char,hAPP_l1334098948t_char(hAPP_l1450984463t_char(produc436875159t_char,U_2201),U_2199)),U_2208)) )
        | ( ~ hBOOL(hAPP_f1748390065l_bool(hAPP_P1503283977l_bool(member1580476948t_char,hAPP_l1334098948t_char(hAPP_l1450984463t_char(produc436875159t_char,sK440(U_2208,U_2206)),sK441(U_2208,U_2206))),U_2208))
          & hBOOL(hAPP_f1748390065l_bool(hAPP_P1503283977l_bool(member1580476948t_char,hAPP_l1334098948t_char(hAPP_l1450984463t_char(produc436875159t_char,sK440(U_2208,U_2206)),sK441(U_2208,U_2206))),U_2206)) ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK441]),skolemize(U_2198,sK441(U_2208,U_2206))],[f_417_4]) ).

fof(f_417_6,plain,
    ( ! [U_2209,U_2207] :
        ( ( ! [U_2205,U_2203] :
              ( hBOOL(hAPP_f1748390065l_bool(hAPP_P1503283977l_bool(member1580476948t_char,hAPP_l1334098948t_char(hAPP_l1450984463t_char(produc436875159t_char,U_2205),U_2203)),U_2207))
              | ~ hBOOL(hAPP_f1748390065l_bool(hAPP_P1503283977l_bool(member1580476948t_char,hAPP_l1334098948t_char(hAPP_l1450984463t_char(produc436875159t_char,U_2205),U_2203)),U_2209)) )
          & ! [U_2204,U_2202] :
              ( hBOOL(hAPP_f1748390065l_bool(hAPP_P1503283977l_bool(member1580476948t_char,hAPP_l1334098948t_char(hAPP_l1450984463t_char(produc436875159t_char,U_2204),U_2202)),U_2209))
              | ~ hBOOL(hAPP_f1748390065l_bool(hAPP_P1503283977l_bool(member1580476948t_char,hAPP_l1334098948t_char(hAPP_l1450984463t_char(produc436875159t_char,U_2204),U_2202)),U_2207)) ) )
        | U_2207 != U_2209 )
    & ! [U_2208,U_2206] :
        ( U_2206 = U_2208
        | ? [U_2199] :
            ( ~ hBOOL(hAPP_f1748390065l_bool(hAPP_P1503283977l_bool(member1580476948t_char,hAPP_l1334098948t_char(hAPP_l1450984463t_char(produc436875159t_char,sK442(U_2208,U_2206)),U_2199)),U_2206))
            & hBOOL(hAPP_f1748390065l_bool(hAPP_P1503283977l_bool(member1580476948t_char,hAPP_l1334098948t_char(hAPP_l1450984463t_char(produc436875159t_char,sK442(U_2208,U_2206)),U_2199)),U_2208)) )
        | ( ~ hBOOL(hAPP_f1748390065l_bool(hAPP_P1503283977l_bool(member1580476948t_char,hAPP_l1334098948t_char(hAPP_l1450984463t_char(produc436875159t_char,sK440(U_2208,U_2206)),sK441(U_2208,U_2206))),U_2208))
          & hBOOL(hAPP_f1748390065l_bool(hAPP_P1503283977l_bool(member1580476948t_char,hAPP_l1334098948t_char(hAPP_l1450984463t_char(produc436875159t_char,sK440(U_2208,U_2206)),sK441(U_2208,U_2206))),U_2206)) ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK442]),skolemize(U_2201,sK442(U_2208,U_2206))],[f_417_5]) ).

fof(f_417_7,plain,
    ( ! [U_2209,U_2207] :
        ( ( ! [U_2205,U_2203] :
              ( hBOOL(hAPP_f1748390065l_bool(hAPP_P1503283977l_bool(member1580476948t_char,hAPP_l1334098948t_char(hAPP_l1450984463t_char(produc436875159t_char,U_2205),U_2203)),U_2207))
              | ~ hBOOL(hAPP_f1748390065l_bool(hAPP_P1503283977l_bool(member1580476948t_char,hAPP_l1334098948t_char(hAPP_l1450984463t_char(produc436875159t_char,U_2205),U_2203)),U_2209)) )
          & ! [U_2204,U_2202] :
              ( hBOOL(hAPP_f1748390065l_bool(hAPP_P1503283977l_bool(member1580476948t_char,hAPP_l1334098948t_char(hAPP_l1450984463t_char(produc436875159t_char,U_2204),U_2202)),U_2209))
              | ~ hBOOL(hAPP_f1748390065l_bool(hAPP_P1503283977l_bool(member1580476948t_char,hAPP_l1334098948t_char(hAPP_l1450984463t_char(produc436875159t_char,U_2204),U_2202)),U_2207)) ) )
        | U_2207 != U_2209 )
    & ! [U_2208,U_2206] :
        ( U_2206 = U_2208
        | ( ~ hBOOL(hAPP_f1748390065l_bool(hAPP_P1503283977l_bool(member1580476948t_char,hAPP_l1334098948t_char(hAPP_l1450984463t_char(produc436875159t_char,sK442(U_2208,U_2206)),sK443(U_2208,U_2206))),U_2206))
          & hBOOL(hAPP_f1748390065l_bool(hAPP_P1503283977l_bool(member1580476948t_char,hAPP_l1334098948t_char(hAPP_l1450984463t_char(produc436875159t_char,sK442(U_2208,U_2206)),sK443(U_2208,U_2206))),U_2208)) )
        | ( ~ hBOOL(hAPP_f1748390065l_bool(hAPP_P1503283977l_bool(member1580476948t_char,hAPP_l1334098948t_char(hAPP_l1450984463t_char(produc436875159t_char,sK440(U_2208,U_2206)),sK441(U_2208,U_2206))),U_2208))
          & hBOOL(hAPP_f1748390065l_bool(hAPP_P1503283977l_bool(member1580476948t_char,hAPP_l1334098948t_char(hAPP_l1450984463t_char(produc436875159t_char,sK440(U_2208,U_2206)),sK441(U_2208,U_2206))),U_2206)) ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK443]),skolemize(U_2199,sK443(U_2208,U_2206))],[f_417_6]) ).

cnf(f_417_8,plain,
    ( hBOOL(hAPP_f1748390065l_bool(hAPP_P1503283977l_bool(member1580476948t_char,hAPP_l1334098948t_char(hAPP_l1450984463t_char(produc436875159t_char,sK442(U_2208,U_2206)),sK443(U_2208,U_2206))),U_2208))
    | hBOOL(hAPP_f1748390065l_bool(hAPP_P1503283977l_bool(member1580476948t_char,hAPP_l1334098948t_char(hAPP_l1450984463t_char(produc436875159t_char,sK440(U_2208,U_2206)),sK441(U_2208,U_2206))),U_2206))
    | U_2206 = U_2208 ),
    inference(clausify,[status(thm)],[f_417_7]) ).

cnf(f_417_9,plain,
    ( ~ hBOOL(hAPP_f1748390065l_bool(hAPP_P1503283977l_bool(member1580476948t_char,hAPP_l1334098948t_char(hAPP_l1450984463t_char(produc436875159t_char,sK442(U_2208,U_2206)),sK443(U_2208,U_2206))),U_2206))
    | hBOOL(hAPP_f1748390065l_bool(hAPP_P1503283977l_bool(member1580476948t_char,hAPP_l1334098948t_char(hAPP_l1450984463t_char(produc436875159t_char,sK440(U_2208,U_2206)),sK441(U_2208,U_2206))),U_2206))
    | U_2206 = U_2208 ),
    inference(clausify,[status(thm)],[f_417_7]) ).

cnf(f_417_10,plain,
    ( hBOOL(hAPP_f1748390065l_bool(hAPP_P1503283977l_bool(member1580476948t_char,hAPP_l1334098948t_char(hAPP_l1450984463t_char(produc436875159t_char,sK442(U_2208,U_2206)),sK443(U_2208,U_2206))),U_2208))
    | ~ hBOOL(hAPP_f1748390065l_bool(hAPP_P1503283977l_bool(member1580476948t_char,hAPP_l1334098948t_char(hAPP_l1450984463t_char(produc436875159t_char,sK440(U_2208,U_2206)),sK441(U_2208,U_2206))),U_2208))
    | U_2206 = U_2208 ),
    inference(clausify,[status(thm)],[f_417_7]) ).

cnf(f_417_11,plain,
    ( ~ hBOOL(hAPP_f1748390065l_bool(hAPP_P1503283977l_bool(member1580476948t_char,hAPP_l1334098948t_char(hAPP_l1450984463t_char(produc436875159t_char,sK442(U_2208,U_2206)),sK443(U_2208,U_2206))),U_2206))
    | ~ hBOOL(hAPP_f1748390065l_bool(hAPP_P1503283977l_bool(member1580476948t_char,hAPP_l1334098948t_char(hAPP_l1450984463t_char(produc436875159t_char,sK440(U_2208,U_2206)),sK441(U_2208,U_2206))),U_2208))
    | U_2206 = U_2208 ),
    inference(clausify,[status(thm)],[f_417_7]) ).

cnf(f_417_12,plain,
    ( hBOOL(hAPP_f1748390065l_bool(hAPP_P1503283977l_bool(member1580476948t_char,hAPP_l1334098948t_char(hAPP_l1450984463t_char(produc436875159t_char,U_2204),U_2202)),U_2209))
    | ~ hBOOL(hAPP_f1748390065l_bool(hAPP_P1503283977l_bool(member1580476948t_char,hAPP_l1334098948t_char(hAPP_l1450984463t_char(produc436875159t_char,U_2204),U_2202)),U_2207))
    | U_2207 != U_2209 ),
    inference(clausify,[status(thm)],[f_417_7]) ).

cnf(f_417_13,plain,
    ( hBOOL(hAPP_f1748390065l_bool(hAPP_P1503283977l_bool(member1580476948t_char,hAPP_l1334098948t_char(hAPP_l1450984463t_char(produc436875159t_char,U_2205),U_2203)),U_2207))
    | ~ hBOOL(hAPP_f1748390065l_bool(hAPP_P1503283977l_bool(member1580476948t_char,hAPP_l1334098948t_char(hAPP_l1450984463t_char(produc436875159t_char,U_2205),U_2203)),U_2209))
    | U_2207 != U_2209 ),
    inference(clausify,[status(thm)],[f_417_7]) ).

fof(f_418_1,plain,
    ! [S_4,R_2] :
      ( ( ! [X_1,Xa] :
            ( ( hBOOL(hAPP_f348753975l_bool(hAPP_P1033205013l_bool(member273646106st_val,hAPP_l1249476511st_val(hAPP_l103437071st_val(produc2078839843st_val,X_1),Xa)),R_2))
              | ~ hBOOL(hAPP_f348753975l_bool(hAPP_P1033205013l_bool(member273646106st_val,hAPP_l1249476511st_val(hAPP_l103437071st_val(produc2078839843st_val,X_1),Xa)),S_4)) )
            & ( hBOOL(hAPP_f348753975l_bool(hAPP_P1033205013l_bool(member273646106st_val,hAPP_l1249476511st_val(hAPP_l103437071st_val(produc2078839843st_val,X_1),Xa)),S_4))
              | ~ hBOOL(hAPP_f348753975l_bool(hAPP_P1033205013l_bool(member273646106st_val,hAPP_l1249476511st_val(hAPP_l103437071st_val(produc2078839843st_val,X_1),Xa)),R_2)) ) )
        | R_2 != S_4 )
      & ( R_2 = S_4
        | ? [X_1,Xa] :
            ( ( ~ hBOOL(hAPP_f348753975l_bool(hAPP_P1033205013l_bool(member273646106st_val,hAPP_l1249476511st_val(hAPP_l103437071st_val(produc2078839843st_val,X_1),Xa)),R_2))
              & hBOOL(hAPP_f348753975l_bool(hAPP_P1033205013l_bool(member273646106st_val,hAPP_l1249476511st_val(hAPP_l103437071st_val(produc2078839843st_val,X_1),Xa)),S_4)) )
            | ( ~ hBOOL(hAPP_f348753975l_bool(hAPP_P1033205013l_bool(member273646106st_val,hAPP_l1249476511st_val(hAPP_l103437071st_val(produc2078839843st_val,X_1),Xa)),S_4))
              & hBOOL(hAPP_f348753975l_bool(hAPP_P1033205013l_bool(member273646106st_val,hAPP_l1249476511st_val(hAPP_l103437071st_val(produc2078839843st_val,X_1),Xa)),R_2)) ) ) ) ),
    inference(fof_nnf,[status(thm)],[fact_276_pred__equals__eq2]) ).

fof(f_418_2,plain,
    ! [U_2215,U_2214] :
      ( ( ! [U_2213,U_2212] :
            ( ( hBOOL(hAPP_f348753975l_bool(hAPP_P1033205013l_bool(member273646106st_val,hAPP_l1249476511st_val(hAPP_l103437071st_val(produc2078839843st_val,U_2213),U_2212)),U_2214))
              | ~ hBOOL(hAPP_f348753975l_bool(hAPP_P1033205013l_bool(member273646106st_val,hAPP_l1249476511st_val(hAPP_l103437071st_val(produc2078839843st_val,U_2213),U_2212)),U_2215)) )
            & ( hBOOL(hAPP_f348753975l_bool(hAPP_P1033205013l_bool(member273646106st_val,hAPP_l1249476511st_val(hAPP_l103437071st_val(produc2078839843st_val,U_2213),U_2212)),U_2215))
              | ~ hBOOL(hAPP_f348753975l_bool(hAPP_P1033205013l_bool(member273646106st_val,hAPP_l1249476511st_val(hAPP_l103437071st_val(produc2078839843st_val,U_2213),U_2212)),U_2214)) ) )
        | U_2214 != U_2215 )
      & ( U_2214 = U_2215
        | ? [U_2211,U_2210] :
            ( ( ~ hBOOL(hAPP_f348753975l_bool(hAPP_P1033205013l_bool(member273646106st_val,hAPP_l1249476511st_val(hAPP_l103437071st_val(produc2078839843st_val,U_2211),U_2210)),U_2214))
              & hBOOL(hAPP_f348753975l_bool(hAPP_P1033205013l_bool(member273646106st_val,hAPP_l1249476511st_val(hAPP_l103437071st_val(produc2078839843st_val,U_2211),U_2210)),U_2215)) )
            | ( ~ hBOOL(hAPP_f348753975l_bool(hAPP_P1033205013l_bool(member273646106st_val,hAPP_l1249476511st_val(hAPP_l103437071st_val(produc2078839843st_val,U_2211),U_2210)),U_2215))
              & hBOOL(hAPP_f348753975l_bool(hAPP_P1033205013l_bool(member273646106st_val,hAPP_l1249476511st_val(hAPP_l103437071st_val(produc2078839843st_val,U_2211),U_2210)),U_2214)) ) ) ) ),
    inference(variable_rename,[status(thm)],[f_418_1]) ).

fof(f_418_3,plain,
    ( ! [U_2227,U_2225] :
        ( ( ! [U_2223,U_2221] :
              ( hBOOL(hAPP_f348753975l_bool(hAPP_P1033205013l_bool(member273646106st_val,hAPP_l1249476511st_val(hAPP_l103437071st_val(produc2078839843st_val,U_2223),U_2221)),U_2225))
              | ~ hBOOL(hAPP_f348753975l_bool(hAPP_P1033205013l_bool(member273646106st_val,hAPP_l1249476511st_val(hAPP_l103437071st_val(produc2078839843st_val,U_2223),U_2221)),U_2227)) )
          & ! [U_2222,U_2220] :
              ( hBOOL(hAPP_f348753975l_bool(hAPP_P1033205013l_bool(member273646106st_val,hAPP_l1249476511st_val(hAPP_l103437071st_val(produc2078839843st_val,U_2222),U_2220)),U_2227))
              | ~ hBOOL(hAPP_f348753975l_bool(hAPP_P1033205013l_bool(member273646106st_val,hAPP_l1249476511st_val(hAPP_l103437071st_val(produc2078839843st_val,U_2222),U_2220)),U_2225)) ) )
        | U_2225 != U_2227 )
    & ! [U_2226,U_2224] :
        ( U_2224 = U_2226
        | ? [U_2219,U_2217] :
            ( ~ hBOOL(hAPP_f348753975l_bool(hAPP_P1033205013l_bool(member273646106st_val,hAPP_l1249476511st_val(hAPP_l103437071st_val(produc2078839843st_val,U_2219),U_2217)),U_2224))
            & hBOOL(hAPP_f348753975l_bool(hAPP_P1033205013l_bool(member273646106st_val,hAPP_l1249476511st_val(hAPP_l103437071st_val(produc2078839843st_val,U_2219),U_2217)),U_2226)) )
        | ? [U_2218,U_2216] :
            ( ~ hBOOL(hAPP_f348753975l_bool(hAPP_P1033205013l_bool(member273646106st_val,hAPP_l1249476511st_val(hAPP_l103437071st_val(produc2078839843st_val,U_2218),U_2216)),U_2226))
            & hBOOL(hAPP_f348753975l_bool(hAPP_P1033205013l_bool(member273646106st_val,hAPP_l1249476511st_val(hAPP_l103437071st_val(produc2078839843st_val,U_2218),U_2216)),U_2224)) ) ) ),
    inference(miniscope,[status(thm)],[f_418_2]) ).

fof(f_418_4,plain,
    ( ! [U_2227,U_2225] :
        ( ( ! [U_2223,U_2221] :
              ( hBOOL(hAPP_f348753975l_bool(hAPP_P1033205013l_bool(member273646106st_val,hAPP_l1249476511st_val(hAPP_l103437071st_val(produc2078839843st_val,U_2223),U_2221)),U_2225))
              | ~ hBOOL(hAPP_f348753975l_bool(hAPP_P1033205013l_bool(member273646106st_val,hAPP_l1249476511st_val(hAPP_l103437071st_val(produc2078839843st_val,U_2223),U_2221)),U_2227)) )
          & ! [U_2222,U_2220] :
              ( hBOOL(hAPP_f348753975l_bool(hAPP_P1033205013l_bool(member273646106st_val,hAPP_l1249476511st_val(hAPP_l103437071st_val(produc2078839843st_val,U_2222),U_2220)),U_2227))
              | ~ hBOOL(hAPP_f348753975l_bool(hAPP_P1033205013l_bool(member273646106st_val,hAPP_l1249476511st_val(hAPP_l103437071st_val(produc2078839843st_val,U_2222),U_2220)),U_2225)) ) )
        | U_2225 != U_2227 )
    & ! [U_2226,U_2224] :
        ( U_2224 = U_2226
        | ? [U_2219,U_2217] :
            ( ~ hBOOL(hAPP_f348753975l_bool(hAPP_P1033205013l_bool(member273646106st_val,hAPP_l1249476511st_val(hAPP_l103437071st_val(produc2078839843st_val,U_2219),U_2217)),U_2224))
            & hBOOL(hAPP_f348753975l_bool(hAPP_P1033205013l_bool(member273646106st_val,hAPP_l1249476511st_val(hAPP_l103437071st_val(produc2078839843st_val,U_2219),U_2217)),U_2226)) )
        | ? [U_2216] :
            ( ~ hBOOL(hAPP_f348753975l_bool(hAPP_P1033205013l_bool(member273646106st_val,hAPP_l1249476511st_val(hAPP_l103437071st_val(produc2078839843st_val,sK444(U_2226,U_2224)),U_2216)),U_2226))
            & hBOOL(hAPP_f348753975l_bool(hAPP_P1033205013l_bool(member273646106st_val,hAPP_l1249476511st_val(hAPP_l103437071st_val(produc2078839843st_val,sK444(U_2226,U_2224)),U_2216)),U_2224)) ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK444]),skolemize(U_2218,sK444(U_2226,U_2224))],[f_418_3]) ).

fof(f_418_5,plain,
    ( ! [U_2227,U_2225] :
        ( ( ! [U_2223,U_2221] :
              ( hBOOL(hAPP_f348753975l_bool(hAPP_P1033205013l_bool(member273646106st_val,hAPP_l1249476511st_val(hAPP_l103437071st_val(produc2078839843st_val,U_2223),U_2221)),U_2225))
              | ~ hBOOL(hAPP_f348753975l_bool(hAPP_P1033205013l_bool(member273646106st_val,hAPP_l1249476511st_val(hAPP_l103437071st_val(produc2078839843st_val,U_2223),U_2221)),U_2227)) )
          & ! [U_2222,U_2220] :
              ( hBOOL(hAPP_f348753975l_bool(hAPP_P1033205013l_bool(member273646106st_val,hAPP_l1249476511st_val(hAPP_l103437071st_val(produc2078839843st_val,U_2222),U_2220)),U_2227))
              | ~ hBOOL(hAPP_f348753975l_bool(hAPP_P1033205013l_bool(member273646106st_val,hAPP_l1249476511st_val(hAPP_l103437071st_val(produc2078839843st_val,U_2222),U_2220)),U_2225)) ) )
        | U_2225 != U_2227 )
    & ! [U_2226,U_2224] :
        ( U_2224 = U_2226
        | ? [U_2219,U_2217] :
            ( ~ hBOOL(hAPP_f348753975l_bool(hAPP_P1033205013l_bool(member273646106st_val,hAPP_l1249476511st_val(hAPP_l103437071st_val(produc2078839843st_val,U_2219),U_2217)),U_2224))
            & hBOOL(hAPP_f348753975l_bool(hAPP_P1033205013l_bool(member273646106st_val,hAPP_l1249476511st_val(hAPP_l103437071st_val(produc2078839843st_val,U_2219),U_2217)),U_2226)) )
        | ( ~ hBOOL(hAPP_f348753975l_bool(hAPP_P1033205013l_bool(member273646106st_val,hAPP_l1249476511st_val(hAPP_l103437071st_val(produc2078839843st_val,sK444(U_2226,U_2224)),sK445(U_2226,U_2224))),U_2226))
          & hBOOL(hAPP_f348753975l_bool(hAPP_P1033205013l_bool(member273646106st_val,hAPP_l1249476511st_val(hAPP_l103437071st_val(produc2078839843st_val,sK444(U_2226,U_2224)),sK445(U_2226,U_2224))),U_2224)) ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK445]),skolemize(U_2216,sK445(U_2226,U_2224))],[f_418_4]) ).

fof(f_418_6,plain,
    ( ! [U_2227,U_2225] :
        ( ( ! [U_2223,U_2221] :
              ( hBOOL(hAPP_f348753975l_bool(hAPP_P1033205013l_bool(member273646106st_val,hAPP_l1249476511st_val(hAPP_l103437071st_val(produc2078839843st_val,U_2223),U_2221)),U_2225))
              | ~ hBOOL(hAPP_f348753975l_bool(hAPP_P1033205013l_bool(member273646106st_val,hAPP_l1249476511st_val(hAPP_l103437071st_val(produc2078839843st_val,U_2223),U_2221)),U_2227)) )
          & ! [U_2222,U_2220] :
              ( hBOOL(hAPP_f348753975l_bool(hAPP_P1033205013l_bool(member273646106st_val,hAPP_l1249476511st_val(hAPP_l103437071st_val(produc2078839843st_val,U_2222),U_2220)),U_2227))
              | ~ hBOOL(hAPP_f348753975l_bool(hAPP_P1033205013l_bool(member273646106st_val,hAPP_l1249476511st_val(hAPP_l103437071st_val(produc2078839843st_val,U_2222),U_2220)),U_2225)) ) )
        | U_2225 != U_2227 )
    & ! [U_2226,U_2224] :
        ( U_2224 = U_2226
        | ? [U_2217] :
            ( ~ hBOOL(hAPP_f348753975l_bool(hAPP_P1033205013l_bool(member273646106st_val,hAPP_l1249476511st_val(hAPP_l103437071st_val(produc2078839843st_val,sK446(U_2226,U_2224)),U_2217)),U_2224))
            & hBOOL(hAPP_f348753975l_bool(hAPP_P1033205013l_bool(member273646106st_val,hAPP_l1249476511st_val(hAPP_l103437071st_val(produc2078839843st_val,sK446(U_2226,U_2224)),U_2217)),U_2226)) )
        | ( ~ hBOOL(hAPP_f348753975l_bool(hAPP_P1033205013l_bool(member273646106st_val,hAPP_l1249476511st_val(hAPP_l103437071st_val(produc2078839843st_val,sK444(U_2226,U_2224)),sK445(U_2226,U_2224))),U_2226))
          & hBOOL(hAPP_f348753975l_bool(hAPP_P1033205013l_bool(member273646106st_val,hAPP_l1249476511st_val(hAPP_l103437071st_val(produc2078839843st_val,sK444(U_2226,U_2224)),sK445(U_2226,U_2224))),U_2224)) ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK446]),skolemize(U_2219,sK446(U_2226,U_2224))],[f_418_5]) ).

fof(f_418_7,plain,
    ( ! [U_2227,U_2225] :
        ( ( ! [U_2223,U_2221] :
              ( hBOOL(hAPP_f348753975l_bool(hAPP_P1033205013l_bool(member273646106st_val,hAPP_l1249476511st_val(hAPP_l103437071st_val(produc2078839843st_val,U_2223),U_2221)),U_2225))
              | ~ hBOOL(hAPP_f348753975l_bool(hAPP_P1033205013l_bool(member273646106st_val,hAPP_l1249476511st_val(hAPP_l103437071st_val(produc2078839843st_val,U_2223),U_2221)),U_2227)) )
          & ! [U_2222,U_2220] :
              ( hBOOL(hAPP_f348753975l_bool(hAPP_P1033205013l_bool(member273646106st_val,hAPP_l1249476511st_val(hAPP_l103437071st_val(produc2078839843st_val,U_2222),U_2220)),U_2227))
              | ~ hBOOL(hAPP_f348753975l_bool(hAPP_P1033205013l_bool(member273646106st_val,hAPP_l1249476511st_val(hAPP_l103437071st_val(produc2078839843st_val,U_2222),U_2220)),U_2225)) ) )
        | U_2225 != U_2227 )
    & ! [U_2226,U_2224] :
        ( U_2224 = U_2226
        | ( ~ hBOOL(hAPP_f348753975l_bool(hAPP_P1033205013l_bool(member273646106st_val,hAPP_l1249476511st_val(hAPP_l103437071st_val(produc2078839843st_val,sK446(U_2226,U_2224)),sK447(U_2226,U_2224))),U_2224))
          & hBOOL(hAPP_f348753975l_bool(hAPP_P1033205013l_bool(member273646106st_val,hAPP_l1249476511st_val(hAPP_l103437071st_val(produc2078839843st_val,sK446(U_2226,U_2224)),sK447(U_2226,U_2224))),U_2226)) )
        | ( ~ hBOOL(hAPP_f348753975l_bool(hAPP_P1033205013l_bool(member273646106st_val,hAPP_l1249476511st_val(hAPP_l103437071st_val(produc2078839843st_val,sK444(U_2226,U_2224)),sK445(U_2226,U_2224))),U_2226))
          & hBOOL(hAPP_f348753975l_bool(hAPP_P1033205013l_bool(member273646106st_val,hAPP_l1249476511st_val(hAPP_l103437071st_val(produc2078839843st_val,sK444(U_2226,U_2224)),sK445(U_2226,U_2224))),U_2224)) ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK447]),skolemize(U_2217,sK447(U_2226,U_2224))],[f_418_6]) ).

cnf(f_418_8,plain,
    ( hBOOL(hAPP_f348753975l_bool(hAPP_P1033205013l_bool(member273646106st_val,hAPP_l1249476511st_val(hAPP_l103437071st_val(produc2078839843st_val,sK446(U_2226,U_2224)),sK447(U_2226,U_2224))),U_2226))
    | hBOOL(hAPP_f348753975l_bool(hAPP_P1033205013l_bool(member273646106st_val,hAPP_l1249476511st_val(hAPP_l103437071st_val(produc2078839843st_val,sK444(U_2226,U_2224)),sK445(U_2226,U_2224))),U_2224))
    | U_2224 = U_2226 ),
    inference(clausify,[status(thm)],[f_418_7]) ).

cnf(f_418_9,plain,
    ( ~ hBOOL(hAPP_f348753975l_bool(hAPP_P1033205013l_bool(member273646106st_val,hAPP_l1249476511st_val(hAPP_l103437071st_val(produc2078839843st_val,sK446(U_2226,U_2224)),sK447(U_2226,U_2224))),U_2224))
    | hBOOL(hAPP_f348753975l_bool(hAPP_P1033205013l_bool(member273646106st_val,hAPP_l1249476511st_val(hAPP_l103437071st_val(produc2078839843st_val,sK444(U_2226,U_2224)),sK445(U_2226,U_2224))),U_2224))
    | U_2224 = U_2226 ),
    inference(clausify,[status(thm)],[f_418_7]) ).

cnf(f_418_10,plain,
    ( hBOOL(hAPP_f348753975l_bool(hAPP_P1033205013l_bool(member273646106st_val,hAPP_l1249476511st_val(hAPP_l103437071st_val(produc2078839843st_val,sK446(U_2226,U_2224)),sK447(U_2226,U_2224))),U_2226))
    | ~ hBOOL(hAPP_f348753975l_bool(hAPP_P1033205013l_bool(member273646106st_val,hAPP_l1249476511st_val(hAPP_l103437071st_val(produc2078839843st_val,sK444(U_2226,U_2224)),sK445(U_2226,U_2224))),U_2226))
    | U_2224 = U_2226 ),
    inference(clausify,[status(thm)],[f_418_7]) ).

cnf(f_418_11,plain,
    ( ~ hBOOL(hAPP_f348753975l_bool(hAPP_P1033205013l_bool(member273646106st_val,hAPP_l1249476511st_val(hAPP_l103437071st_val(produc2078839843st_val,sK446(U_2226,U_2224)),sK447(U_2226,U_2224))),U_2224))
    | ~ hBOOL(hAPP_f348753975l_bool(hAPP_P1033205013l_bool(member273646106st_val,hAPP_l1249476511st_val(hAPP_l103437071st_val(produc2078839843st_val,sK444(U_2226,U_2224)),sK445(U_2226,U_2224))),U_2226))
    | U_2224 = U_2226 ),
    inference(clausify,[status(thm)],[f_418_7]) ).

cnf(f_418_12,plain,
    ( hBOOL(hAPP_f348753975l_bool(hAPP_P1033205013l_bool(member273646106st_val,hAPP_l1249476511st_val(hAPP_l103437071st_val(produc2078839843st_val,U_2222),U_2220)),U_2227))
    | ~ hBOOL(hAPP_f348753975l_bool(hAPP_P1033205013l_bool(member273646106st_val,hAPP_l1249476511st_val(hAPP_l103437071st_val(produc2078839843st_val,U_2222),U_2220)),U_2225))
    | U_2225 != U_2227 ),
    inference(clausify,[status(thm)],[f_418_7]) ).

cnf(f_418_13,plain,
    ( hBOOL(hAPP_f348753975l_bool(hAPP_P1033205013l_bool(member273646106st_val,hAPP_l1249476511st_val(hAPP_l103437071st_val(produc2078839843st_val,U_2223),U_2221)),U_2225))
    | ~ hBOOL(hAPP_f348753975l_bool(hAPP_P1033205013l_bool(member273646106st_val,hAPP_l1249476511st_val(hAPP_l103437071st_val(produc2078839843st_val,U_2223),U_2221)),U_2227))
    | U_2225 != U_2227 ),
    inference(clausify,[status(thm)],[f_418_7]) ).

fof(f_419_1,plain,
    ! [S_4,R_2] :
      ( ( ! [X_1,Xa] :
            ( ( hBOOL(hAPP_f433445541l_bool(hAPP_P1019319281l_bool(member104734088ist_ty,hAPP_l1319068228ist_ty(hAPP_l1770520637ist_ty(produc512429457ist_ty,X_1),Xa)),R_2))
              | ~ hBOOL(hAPP_f433445541l_bool(hAPP_P1019319281l_bool(member104734088ist_ty,hAPP_l1319068228ist_ty(hAPP_l1770520637ist_ty(produc512429457ist_ty,X_1),Xa)),S_4)) )
            & ( hBOOL(hAPP_f433445541l_bool(hAPP_P1019319281l_bool(member104734088ist_ty,hAPP_l1319068228ist_ty(hAPP_l1770520637ist_ty(produc512429457ist_ty,X_1),Xa)),S_4))
              | ~ hBOOL(hAPP_f433445541l_bool(hAPP_P1019319281l_bool(member104734088ist_ty,hAPP_l1319068228ist_ty(hAPP_l1770520637ist_ty(produc512429457ist_ty,X_1),Xa)),R_2)) ) )
        | R_2 != S_4 )
      & ( R_2 = S_4
        | ? [X_1,Xa] :
            ( ( ~ hBOOL(hAPP_f433445541l_bool(hAPP_P1019319281l_bool(member104734088ist_ty,hAPP_l1319068228ist_ty(hAPP_l1770520637ist_ty(produc512429457ist_ty,X_1),Xa)),R_2))
              & hBOOL(hAPP_f433445541l_bool(hAPP_P1019319281l_bool(member104734088ist_ty,hAPP_l1319068228ist_ty(hAPP_l1770520637ist_ty(produc512429457ist_ty,X_1),Xa)),S_4)) )
            | ( ~ hBOOL(hAPP_f433445541l_bool(hAPP_P1019319281l_bool(member104734088ist_ty,hAPP_l1319068228ist_ty(hAPP_l1770520637ist_ty(produc512429457ist_ty,X_1),Xa)),S_4))
              & hBOOL(hAPP_f433445541l_bool(hAPP_P1019319281l_bool(member104734088ist_ty,hAPP_l1319068228ist_ty(hAPP_l1770520637ist_ty(produc512429457ist_ty,X_1),Xa)),R_2)) ) ) ) ),
    inference(fof_nnf,[status(thm)],[fact_277_pred__equals__eq2]) ).

fof(f_419_2,plain,
    ! [U_2233,U_2232] :
      ( ( ! [U_2231,U_2230] :
            ( ( hBOOL(hAPP_f433445541l_bool(hAPP_P1019319281l_bool(member104734088ist_ty,hAPP_l1319068228ist_ty(hAPP_l1770520637ist_ty(produc512429457ist_ty,U_2231),U_2230)),U_2232))
              | ~ hBOOL(hAPP_f433445541l_bool(hAPP_P1019319281l_bool(member104734088ist_ty,hAPP_l1319068228ist_ty(hAPP_l1770520637ist_ty(produc512429457ist_ty,U_2231),U_2230)),U_2233)) )
            & ( hBOOL(hAPP_f433445541l_bool(hAPP_P1019319281l_bool(member104734088ist_ty,hAPP_l1319068228ist_ty(hAPP_l1770520637ist_ty(produc512429457ist_ty,U_2231),U_2230)),U_2233))
              | ~ hBOOL(hAPP_f433445541l_bool(hAPP_P1019319281l_bool(member104734088ist_ty,hAPP_l1319068228ist_ty(hAPP_l1770520637ist_ty(produc512429457ist_ty,U_2231),U_2230)),U_2232)) ) )
        | U_2232 != U_2233 )
      & ( U_2232 = U_2233
        | ? [U_2229,U_2228] :
            ( ( ~ hBOOL(hAPP_f433445541l_bool(hAPP_P1019319281l_bool(member104734088ist_ty,hAPP_l1319068228ist_ty(hAPP_l1770520637ist_ty(produc512429457ist_ty,U_2229),U_2228)),U_2232))
              & hBOOL(hAPP_f433445541l_bool(hAPP_P1019319281l_bool(member104734088ist_ty,hAPP_l1319068228ist_ty(hAPP_l1770520637ist_ty(produc512429457ist_ty,U_2229),U_2228)),U_2233)) )
            | ( ~ hBOOL(hAPP_f433445541l_bool(hAPP_P1019319281l_bool(member104734088ist_ty,hAPP_l1319068228ist_ty(hAPP_l1770520637ist_ty(produc512429457ist_ty,U_2229),U_2228)),U_2233))
              & hBOOL(hAPP_f433445541l_bool(hAPP_P1019319281l_bool(member104734088ist_ty,hAPP_l1319068228ist_ty(hAPP_l1770520637ist_ty(produc512429457ist_ty,U_2229),U_2228)),U_2232)) ) ) ) ),
    inference(variable_rename,[status(thm)],[f_419_1]) ).

fof(f_419_3,plain,
    ( ! [U_2245,U_2243] :
        ( ( ! [U_2241,U_2239] :
              ( hBOOL(hAPP_f433445541l_bool(hAPP_P1019319281l_bool(member104734088ist_ty,hAPP_l1319068228ist_ty(hAPP_l1770520637ist_ty(produc512429457ist_ty,U_2241),U_2239)),U_2243))
              | ~ hBOOL(hAPP_f433445541l_bool(hAPP_P1019319281l_bool(member104734088ist_ty,hAPP_l1319068228ist_ty(hAPP_l1770520637ist_ty(produc512429457ist_ty,U_2241),U_2239)),U_2245)) )
          & ! [U_2240,U_2238] :
              ( hBOOL(hAPP_f433445541l_bool(hAPP_P1019319281l_bool(member104734088ist_ty,hAPP_l1319068228ist_ty(hAPP_l1770520637ist_ty(produc512429457ist_ty,U_2240),U_2238)),U_2245))
              | ~ hBOOL(hAPP_f433445541l_bool(hAPP_P1019319281l_bool(member104734088ist_ty,hAPP_l1319068228ist_ty(hAPP_l1770520637ist_ty(produc512429457ist_ty,U_2240),U_2238)),U_2243)) ) )
        | U_2243 != U_2245 )
    & ! [U_2244,U_2242] :
        ( U_2242 = U_2244
        | ? [U_2237,U_2235] :
            ( ~ hBOOL(hAPP_f433445541l_bool(hAPP_P1019319281l_bool(member104734088ist_ty,hAPP_l1319068228ist_ty(hAPP_l1770520637ist_ty(produc512429457ist_ty,U_2237),U_2235)),U_2242))
            & hBOOL(hAPP_f433445541l_bool(hAPP_P1019319281l_bool(member104734088ist_ty,hAPP_l1319068228ist_ty(hAPP_l1770520637ist_ty(produc512429457ist_ty,U_2237),U_2235)),U_2244)) )
        | ? [U_2236,U_2234] :
            ( ~ hBOOL(hAPP_f433445541l_bool(hAPP_P1019319281l_bool(member104734088ist_ty,hAPP_l1319068228ist_ty(hAPP_l1770520637ist_ty(produc512429457ist_ty,U_2236),U_2234)),U_2244))
            & hBOOL(hAPP_f433445541l_bool(hAPP_P1019319281l_bool(member104734088ist_ty,hAPP_l1319068228ist_ty(hAPP_l1770520637ist_ty(produc512429457ist_ty,U_2236),U_2234)),U_2242)) ) ) ),
    inference(miniscope,[status(thm)],[f_419_2]) ).

fof(f_419_4,plain,
    ( ! [U_2245,U_2243] :
        ( ( ! [U_2241,U_2239] :
              ( hBOOL(hAPP_f433445541l_bool(hAPP_P1019319281l_bool(member104734088ist_ty,hAPP_l1319068228ist_ty(hAPP_l1770520637ist_ty(produc512429457ist_ty,U_2241),U_2239)),U_2243))
              | ~ hBOOL(hAPP_f433445541l_bool(hAPP_P1019319281l_bool(member104734088ist_ty,hAPP_l1319068228ist_ty(hAPP_l1770520637ist_ty(produc512429457ist_ty,U_2241),U_2239)),U_2245)) )
          & ! [U_2240,U_2238] :
              ( hBOOL(hAPP_f433445541l_bool(hAPP_P1019319281l_bool(member104734088ist_ty,hAPP_l1319068228ist_ty(hAPP_l1770520637ist_ty(produc512429457ist_ty,U_2240),U_2238)),U_2245))
              | ~ hBOOL(hAPP_f433445541l_bool(hAPP_P1019319281l_bool(member104734088ist_ty,hAPP_l1319068228ist_ty(hAPP_l1770520637ist_ty(produc512429457ist_ty,U_2240),U_2238)),U_2243)) ) )
        | U_2243 != U_2245 )
    & ! [U_2244,U_2242] :
        ( U_2242 = U_2244
        | ? [U_2237,U_2235] :
            ( ~ hBOOL(hAPP_f433445541l_bool(hAPP_P1019319281l_bool(member104734088ist_ty,hAPP_l1319068228ist_ty(hAPP_l1770520637ist_ty(produc512429457ist_ty,U_2237),U_2235)),U_2242))
            & hBOOL(hAPP_f433445541l_bool(hAPP_P1019319281l_bool(member104734088ist_ty,hAPP_l1319068228ist_ty(hAPP_l1770520637ist_ty(produc512429457ist_ty,U_2237),U_2235)),U_2244)) )
        | ? [U_2234] :
            ( ~ hBOOL(hAPP_f433445541l_bool(hAPP_P1019319281l_bool(member104734088ist_ty,hAPP_l1319068228ist_ty(hAPP_l1770520637ist_ty(produc512429457ist_ty,sK448(U_2244,U_2242)),U_2234)),U_2244))
            & hBOOL(hAPP_f433445541l_bool(hAPP_P1019319281l_bool(member104734088ist_ty,hAPP_l1319068228ist_ty(hAPP_l1770520637ist_ty(produc512429457ist_ty,sK448(U_2244,U_2242)),U_2234)),U_2242)) ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK448]),skolemize(U_2236,sK448(U_2244,U_2242))],[f_419_3]) ).

fof(f_419_5,plain,
    ( ! [U_2245,U_2243] :
        ( ( ! [U_2241,U_2239] :
              ( hBOOL(hAPP_f433445541l_bool(hAPP_P1019319281l_bool(member104734088ist_ty,hAPP_l1319068228ist_ty(hAPP_l1770520637ist_ty(produc512429457ist_ty,U_2241),U_2239)),U_2243))
              | ~ hBOOL(hAPP_f433445541l_bool(hAPP_P1019319281l_bool(member104734088ist_ty,hAPP_l1319068228ist_ty(hAPP_l1770520637ist_ty(produc512429457ist_ty,U_2241),U_2239)),U_2245)) )
          & ! [U_2240,U_2238] :
              ( hBOOL(hAPP_f433445541l_bool(hAPP_P1019319281l_bool(member104734088ist_ty,hAPP_l1319068228ist_ty(hAPP_l1770520637ist_ty(produc512429457ist_ty,U_2240),U_2238)),U_2245))
              | ~ hBOOL(hAPP_f433445541l_bool(hAPP_P1019319281l_bool(member104734088ist_ty,hAPP_l1319068228ist_ty(hAPP_l1770520637ist_ty(produc512429457ist_ty,U_2240),U_2238)),U_2243)) ) )
        | U_2243 != U_2245 )
    & ! [U_2244,U_2242] :
        ( U_2242 = U_2244
        | ? [U_2237,U_2235] :
            ( ~ hBOOL(hAPP_f433445541l_bool(hAPP_P1019319281l_bool(member104734088ist_ty,hAPP_l1319068228ist_ty(hAPP_l1770520637ist_ty(produc512429457ist_ty,U_2237),U_2235)),U_2242))
            & hBOOL(hAPP_f433445541l_bool(hAPP_P1019319281l_bool(member104734088ist_ty,hAPP_l1319068228ist_ty(hAPP_l1770520637ist_ty(produc512429457ist_ty,U_2237),U_2235)),U_2244)) )
        | ( ~ hBOOL(hAPP_f433445541l_bool(hAPP_P1019319281l_bool(member104734088ist_ty,hAPP_l1319068228ist_ty(hAPP_l1770520637ist_ty(produc512429457ist_ty,sK448(U_2244,U_2242)),sK449(U_2244,U_2242))),U_2244))
          & hBOOL(hAPP_f433445541l_bool(hAPP_P1019319281l_bool(member104734088ist_ty,hAPP_l1319068228ist_ty(hAPP_l1770520637ist_ty(produc512429457ist_ty,sK448(U_2244,U_2242)),sK449(U_2244,U_2242))),U_2242)) ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK449]),skolemize(U_2234,sK449(U_2244,U_2242))],[f_419_4]) ).

fof(f_419_6,plain,
    ( ! [U_2245,U_2243] :
        ( ( ! [U_2241,U_2239] :
              ( hBOOL(hAPP_f433445541l_bool(hAPP_P1019319281l_bool(member104734088ist_ty,hAPP_l1319068228ist_ty(hAPP_l1770520637ist_ty(produc512429457ist_ty,U_2241),U_2239)),U_2243))
              | ~ hBOOL(hAPP_f433445541l_bool(hAPP_P1019319281l_bool(member104734088ist_ty,hAPP_l1319068228ist_ty(hAPP_l1770520637ist_ty(produc512429457ist_ty,U_2241),U_2239)),U_2245)) )
          & ! [U_2240,U_2238] :
              ( hBOOL(hAPP_f433445541l_bool(hAPP_P1019319281l_bool(member104734088ist_ty,hAPP_l1319068228ist_ty(hAPP_l1770520637ist_ty(produc512429457ist_ty,U_2240),U_2238)),U_2245))
              | ~ hBOOL(hAPP_f433445541l_bool(hAPP_P1019319281l_bool(member104734088ist_ty,hAPP_l1319068228ist_ty(hAPP_l1770520637ist_ty(produc512429457ist_ty,U_2240),U_2238)),U_2243)) ) )
        | U_2243 != U_2245 )
    & ! [U_2244,U_2242] :
        ( U_2242 = U_2244
        | ? [U_2235] :
            ( ~ hBOOL(hAPP_f433445541l_bool(hAPP_P1019319281l_bool(member104734088ist_ty,hAPP_l1319068228ist_ty(hAPP_l1770520637ist_ty(produc512429457ist_ty,sK450(U_2244,U_2242)),U_2235)),U_2242))
            & hBOOL(hAPP_f433445541l_bool(hAPP_P1019319281l_bool(member104734088ist_ty,hAPP_l1319068228ist_ty(hAPP_l1770520637ist_ty(produc512429457ist_ty,sK450(U_2244,U_2242)),U_2235)),U_2244)) )
        | ( ~ hBOOL(hAPP_f433445541l_bool(hAPP_P1019319281l_bool(member104734088ist_ty,hAPP_l1319068228ist_ty(hAPP_l1770520637ist_ty(produc512429457ist_ty,sK448(U_2244,U_2242)),sK449(U_2244,U_2242))),U_2244))
          & hBOOL(hAPP_f433445541l_bool(hAPP_P1019319281l_bool(member104734088ist_ty,hAPP_l1319068228ist_ty(hAPP_l1770520637ist_ty(produc512429457ist_ty,sK448(U_2244,U_2242)),sK449(U_2244,U_2242))),U_2242)) ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK450]),skolemize(U_2237,sK450(U_2244,U_2242))],[f_419_5]) ).

fof(f_419_7,plain,
    ( ! [U_2245,U_2243] :
        ( ( ! [U_2241,U_2239] :
              ( hBOOL(hAPP_f433445541l_bool(hAPP_P1019319281l_bool(member104734088ist_ty,hAPP_l1319068228ist_ty(hAPP_l1770520637ist_ty(produc512429457ist_ty,U_2241),U_2239)),U_2243))
              | ~ hBOOL(hAPP_f433445541l_bool(hAPP_P1019319281l_bool(member104734088ist_ty,hAPP_l1319068228ist_ty(hAPP_l1770520637ist_ty(produc512429457ist_ty,U_2241),U_2239)),U_2245)) )
          & ! [U_2240,U_2238] :
              ( hBOOL(hAPP_f433445541l_bool(hAPP_P1019319281l_bool(member104734088ist_ty,hAPP_l1319068228ist_ty(hAPP_l1770520637ist_ty(produc512429457ist_ty,U_2240),U_2238)),U_2245))
              | ~ hBOOL(hAPP_f433445541l_bool(hAPP_P1019319281l_bool(member104734088ist_ty,hAPP_l1319068228ist_ty(hAPP_l1770520637ist_ty(produc512429457ist_ty,U_2240),U_2238)),U_2243)) ) )
        | U_2243 != U_2245 )
    & ! [U_2244,U_2242] :
        ( U_2242 = U_2244
        | ( ~ hBOOL(hAPP_f433445541l_bool(hAPP_P1019319281l_bool(member104734088ist_ty,hAPP_l1319068228ist_ty(hAPP_l1770520637ist_ty(produc512429457ist_ty,sK450(U_2244,U_2242)),sK451(U_2244,U_2242))),U_2242))
          & hBOOL(hAPP_f433445541l_bool(hAPP_P1019319281l_bool(member104734088ist_ty,hAPP_l1319068228ist_ty(hAPP_l1770520637ist_ty(produc512429457ist_ty,sK450(U_2244,U_2242)),sK451(U_2244,U_2242))),U_2244)) )
        | ( ~ hBOOL(hAPP_f433445541l_bool(hAPP_P1019319281l_bool(member104734088ist_ty,hAPP_l1319068228ist_ty(hAPP_l1770520637ist_ty(produc512429457ist_ty,sK448(U_2244,U_2242)),sK449(U_2244,U_2242))),U_2244))
          & hBOOL(hAPP_f433445541l_bool(hAPP_P1019319281l_bool(member104734088ist_ty,hAPP_l1319068228ist_ty(hAPP_l1770520637ist_ty(produc512429457ist_ty,sK448(U_2244,U_2242)),sK449(U_2244,U_2242))),U_2242)) ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK451]),skolemize(U_2235,sK451(U_2244,U_2242))],[f_419_6]) ).

cnf(f_419_8,plain,
    ( hBOOL(hAPP_f433445541l_bool(hAPP_P1019319281l_bool(member104734088ist_ty,hAPP_l1319068228ist_ty(hAPP_l1770520637ist_ty(produc512429457ist_ty,sK450(U_2244,U_2242)),sK451(U_2244,U_2242))),U_2244))
    | hBOOL(hAPP_f433445541l_bool(hAPP_P1019319281l_bool(member104734088ist_ty,hAPP_l1319068228ist_ty(hAPP_l1770520637ist_ty(produc512429457ist_ty,sK448(U_2244,U_2242)),sK449(U_2244,U_2242))),U_2242))
    | U_2242 = U_2244 ),
    inference(clausify,[status(thm)],[f_419_7]) ).

cnf(f_419_9,plain,
    ( ~ hBOOL(hAPP_f433445541l_bool(hAPP_P1019319281l_bool(member104734088ist_ty,hAPP_l1319068228ist_ty(hAPP_l1770520637ist_ty(produc512429457ist_ty,sK450(U_2244,U_2242)),sK451(U_2244,U_2242))),U_2242))
    | hBOOL(hAPP_f433445541l_bool(hAPP_P1019319281l_bool(member104734088ist_ty,hAPP_l1319068228ist_ty(hAPP_l1770520637ist_ty(produc512429457ist_ty,sK448(U_2244,U_2242)),sK449(U_2244,U_2242))),U_2242))
    | U_2242 = U_2244 ),
    inference(clausify,[status(thm)],[f_419_7]) ).

cnf(f_419_10,plain,
    ( hBOOL(hAPP_f433445541l_bool(hAPP_P1019319281l_bool(member104734088ist_ty,hAPP_l1319068228ist_ty(hAPP_l1770520637ist_ty(produc512429457ist_ty,sK450(U_2244,U_2242)),sK451(U_2244,U_2242))),U_2244))
    | ~ hBOOL(hAPP_f433445541l_bool(hAPP_P1019319281l_bool(member104734088ist_ty,hAPP_l1319068228ist_ty(hAPP_l1770520637ist_ty(produc512429457ist_ty,sK448(U_2244,U_2242)),sK449(U_2244,U_2242))),U_2244))
    | U_2242 = U_2244 ),
    inference(clausify,[status(thm)],[f_419_7]) ).

cnf(f_419_11,plain,
    ( ~ hBOOL(hAPP_f433445541l_bool(hAPP_P1019319281l_bool(member104734088ist_ty,hAPP_l1319068228ist_ty(hAPP_l1770520637ist_ty(produc512429457ist_ty,sK450(U_2244,U_2242)),sK451(U_2244,U_2242))),U_2242))
    | ~ hBOOL(hAPP_f433445541l_bool(hAPP_P1019319281l_bool(member104734088ist_ty,hAPP_l1319068228ist_ty(hAPP_l1770520637ist_ty(produc512429457ist_ty,sK448(U_2244,U_2242)),sK449(U_2244,U_2242))),U_2244))
    | U_2242 = U_2244 ),
    inference(clausify,[status(thm)],[f_419_7]) ).

cnf(f_419_12,plain,
    ( hBOOL(hAPP_f433445541l_bool(hAPP_P1019319281l_bool(member104734088ist_ty,hAPP_l1319068228ist_ty(hAPP_l1770520637ist_ty(produc512429457ist_ty,U_2240),U_2238)),U_2245))
    | ~ hBOOL(hAPP_f433445541l_bool(hAPP_P1019319281l_bool(member104734088ist_ty,hAPP_l1319068228ist_ty(hAPP_l1770520637ist_ty(produc512429457ist_ty,U_2240),U_2238)),U_2243))
    | U_2243 != U_2245 ),
    inference(clausify,[status(thm)],[f_419_7]) ).

cnf(f_419_13,plain,
    ( hBOOL(hAPP_f433445541l_bool(hAPP_P1019319281l_bool(member104734088ist_ty,hAPP_l1319068228ist_ty(hAPP_l1770520637ist_ty(produc512429457ist_ty,U_2241),U_2239)),U_2243))
    | ~ hBOOL(hAPP_f433445541l_bool(hAPP_P1019319281l_bool(member104734088ist_ty,hAPP_l1319068228ist_ty(hAPP_l1770520637ist_ty(produc512429457ist_ty,U_2241),U_2239)),U_2245))
    | U_2243 != U_2245 ),
    inference(clausify,[status(thm)],[f_419_7]) ).

fof(f_420_1,plain,
    ! [S_4,R_2] :
      ( ( ( ! [X_1,Xa] :
              ( ( ( hBOOL(hAPP_f1854361213l_bool(hAPP_P1034346913l_bool(member978285664op_bop,hAPP_b1909667208op_bop(hAPP_b1058859669op_bop(product_Pair_bop_bop,X_1),Xa)),R_2))
                  | ~ hBOOL(hAPP_f1854361213l_bool(hAPP_P1034346913l_bool(member978285664op_bop,hAPP_b1909667208op_bop(hAPP_b1058859669op_bop(product_Pair_bop_bop,X_1),Xa)),S_4)) )
                & ( hBOOL(hAPP_f1854361213l_bool(hAPP_P1034346913l_bool(member978285664op_bop,hAPP_b1909667208op_bop(hAPP_b1058859669op_bop(product_Pair_bop_bop,X_1),Xa)),S_4))
                  | ~ hBOOL(hAPP_f1854361213l_bool(hAPP_P1034346913l_bool(member978285664op_bop,hAPP_b1909667208op_bop(hAPP_b1058859669op_bop(product_Pair_bop_bop,X_1),Xa)),R_2)) ) )
              | ~ is_bop(Xa)
              | ~ is_bop(X_1) )
          | R_2 != S_4 )
        & ( R_2 = S_4
          | ? [X_1,Xa] :
              ( ( ( ~ hBOOL(hAPP_f1854361213l_bool(hAPP_P1034346913l_bool(member978285664op_bop,hAPP_b1909667208op_bop(hAPP_b1058859669op_bop(product_Pair_bop_bop,X_1),Xa)),R_2))
                  & hBOOL(hAPP_f1854361213l_bool(hAPP_P1034346913l_bool(member978285664op_bop,hAPP_b1909667208op_bop(hAPP_b1058859669op_bop(product_Pair_bop_bop,X_1),Xa)),S_4)) )
                | ( ~ hBOOL(hAPP_f1854361213l_bool(hAPP_P1034346913l_bool(member978285664op_bop,hAPP_b1909667208op_bop(hAPP_b1058859669op_bop(product_Pair_bop_bop,X_1),Xa)),S_4))
                  & hBOOL(hAPP_f1854361213l_bool(hAPP_P1034346913l_bool(member978285664op_bop,hAPP_b1909667208op_bop(hAPP_b1058859669op_bop(product_Pair_bop_bop,X_1),Xa)),R_2)) ) )
              & is_bop(Xa)
              & is_bop(X_1) ) ) )
      | ~ is_fun1083000568p_bool(R_2)
      | ~ is_fun1083000568p_bool(S_4) ),
    inference(fof_nnf,[status(thm)],[fact_278_pred__equals__eq2]) ).

fof(f_420_2,plain,
    ! [U_2251,U_2250] :
      ( ( ( ! [U_2249,U_2248] :
              ( ( ( hBOOL(hAPP_f1854361213l_bool(hAPP_P1034346913l_bool(member978285664op_bop,hAPP_b1909667208op_bop(hAPP_b1058859669op_bop(product_Pair_bop_bop,U_2249),U_2248)),U_2250))
                  | ~ hBOOL(hAPP_f1854361213l_bool(hAPP_P1034346913l_bool(member978285664op_bop,hAPP_b1909667208op_bop(hAPP_b1058859669op_bop(product_Pair_bop_bop,U_2249),U_2248)),U_2251)) )
                & ( hBOOL(hAPP_f1854361213l_bool(hAPP_P1034346913l_bool(member978285664op_bop,hAPP_b1909667208op_bop(hAPP_b1058859669op_bop(product_Pair_bop_bop,U_2249),U_2248)),U_2251))
                  | ~ hBOOL(hAPP_f1854361213l_bool(hAPP_P1034346913l_bool(member978285664op_bop,hAPP_b1909667208op_bop(hAPP_b1058859669op_bop(product_Pair_bop_bop,U_2249),U_2248)),U_2250)) ) )
              | ~ is_bop(U_2248)
              | ~ is_bop(U_2249) )
          | U_2250 != U_2251 )
        & ( U_2250 = U_2251
          | ? [U_2247,U_2246] :
              ( ( ( ~ hBOOL(hAPP_f1854361213l_bool(hAPP_P1034346913l_bool(member978285664op_bop,hAPP_b1909667208op_bop(hAPP_b1058859669op_bop(product_Pair_bop_bop,U_2247),U_2246)),U_2250))
                  & hBOOL(hAPP_f1854361213l_bool(hAPP_P1034346913l_bool(member978285664op_bop,hAPP_b1909667208op_bop(hAPP_b1058859669op_bop(product_Pair_bop_bop,U_2247),U_2246)),U_2251)) )
                | ( ~ hBOOL(hAPP_f1854361213l_bool(hAPP_P1034346913l_bool(member978285664op_bop,hAPP_b1909667208op_bop(hAPP_b1058859669op_bop(product_Pair_bop_bop,U_2247),U_2246)),U_2251))
                  & hBOOL(hAPP_f1854361213l_bool(hAPP_P1034346913l_bool(member978285664op_bop,hAPP_b1909667208op_bop(hAPP_b1058859669op_bop(product_Pair_bop_bop,U_2247),U_2246)),U_2250)) ) )
              & is_bop(U_2246)
              & is_bop(U_2247) ) ) )
      | ~ is_fun1083000568p_bool(U_2250)
      | ~ is_fun1083000568p_bool(U_2251) ),
    inference(variable_rename,[status(thm)],[f_420_1]) ).

fof(f_420_3,plain,
    ! [U_2251,U_2250] :
      ( ( ( ! [U_2249,U_2248] :
              ( ( ( hBOOL(hAPP_f1854361213l_bool(hAPP_P1034346913l_bool(member978285664op_bop,hAPP_b1909667208op_bop(hAPP_b1058859669op_bop(product_Pair_bop_bop,U_2249),U_2248)),U_2250))
                  | ~ hBOOL(hAPP_f1854361213l_bool(hAPP_P1034346913l_bool(member978285664op_bop,hAPP_b1909667208op_bop(hAPP_b1058859669op_bop(product_Pair_bop_bop,U_2249),U_2248)),U_2251)) )
                & ( hBOOL(hAPP_f1854361213l_bool(hAPP_P1034346913l_bool(member978285664op_bop,hAPP_b1909667208op_bop(hAPP_b1058859669op_bop(product_Pair_bop_bop,U_2249),U_2248)),U_2251))
                  | ~ hBOOL(hAPP_f1854361213l_bool(hAPP_P1034346913l_bool(member978285664op_bop,hAPP_b1909667208op_bop(hAPP_b1058859669op_bop(product_Pair_bop_bop,U_2249),U_2248)),U_2250)) ) )
              | ~ is_bop(U_2248)
              | ~ is_bop(U_2249) )
          | U_2250 != U_2251 )
        & ( U_2250 = U_2251
          | ? [U_2246] :
              ( ( ( ~ hBOOL(hAPP_f1854361213l_bool(hAPP_P1034346913l_bool(member978285664op_bop,hAPP_b1909667208op_bop(hAPP_b1058859669op_bop(product_Pair_bop_bop,sK452(U_2251,U_2250)),U_2246)),U_2250))
                  & hBOOL(hAPP_f1854361213l_bool(hAPP_P1034346913l_bool(member978285664op_bop,hAPP_b1909667208op_bop(hAPP_b1058859669op_bop(product_Pair_bop_bop,sK452(U_2251,U_2250)),U_2246)),U_2251)) )
                | ( ~ hBOOL(hAPP_f1854361213l_bool(hAPP_P1034346913l_bool(member978285664op_bop,hAPP_b1909667208op_bop(hAPP_b1058859669op_bop(product_Pair_bop_bop,sK452(U_2251,U_2250)),U_2246)),U_2251))
                  & hBOOL(hAPP_f1854361213l_bool(hAPP_P1034346913l_bool(member978285664op_bop,hAPP_b1909667208op_bop(hAPP_b1058859669op_bop(product_Pair_bop_bop,sK452(U_2251,U_2250)),U_2246)),U_2250)) ) )
              & is_bop(U_2246)
              & is_bop(sK452(U_2251,U_2250)) ) ) )
      | ~ is_fun1083000568p_bool(U_2250)
      | ~ is_fun1083000568p_bool(U_2251) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK452]),skolemize(U_2247,sK452(U_2251,U_2250))],[f_420_2]) ).

fof(f_420_4,plain,
    ! [U_2251,U_2250] :
      ( ( ( ! [U_2249,U_2248] :
              ( ( ( hBOOL(hAPP_f1854361213l_bool(hAPP_P1034346913l_bool(member978285664op_bop,hAPP_b1909667208op_bop(hAPP_b1058859669op_bop(product_Pair_bop_bop,U_2249),U_2248)),U_2250))
                  | ~ hBOOL(hAPP_f1854361213l_bool(hAPP_P1034346913l_bool(member978285664op_bop,hAPP_b1909667208op_bop(hAPP_b1058859669op_bop(product_Pair_bop_bop,U_2249),U_2248)),U_2251)) )
                & ( hBOOL(hAPP_f1854361213l_bool(hAPP_P1034346913l_bool(member978285664op_bop,hAPP_b1909667208op_bop(hAPP_b1058859669op_bop(product_Pair_bop_bop,U_2249),U_2248)),U_2251))
                  | ~ hBOOL(hAPP_f1854361213l_bool(hAPP_P1034346913l_bool(member978285664op_bop,hAPP_b1909667208op_bop(hAPP_b1058859669op_bop(product_Pair_bop_bop,U_2249),U_2248)),U_2250)) ) )
              | ~ is_bop(U_2248)
              | ~ is_bop(U_2249) )
          | U_2250 != U_2251 )
        & ( U_2250 = U_2251
          | ( ( ( ~ hBOOL(hAPP_f1854361213l_bool(hAPP_P1034346913l_bool(member978285664op_bop,hAPP_b1909667208op_bop(hAPP_b1058859669op_bop(product_Pair_bop_bop,sK452(U_2251,U_2250)),sK453(U_2251,U_2250))),U_2250))
                & hBOOL(hAPP_f1854361213l_bool(hAPP_P1034346913l_bool(member978285664op_bop,hAPP_b1909667208op_bop(hAPP_b1058859669op_bop(product_Pair_bop_bop,sK452(U_2251,U_2250)),sK453(U_2251,U_2250))),U_2251)) )
              | ( ~ hBOOL(hAPP_f1854361213l_bool(hAPP_P1034346913l_bool(member978285664op_bop,hAPP_b1909667208op_bop(hAPP_b1058859669op_bop(product_Pair_bop_bop,sK452(U_2251,U_2250)),sK453(U_2251,U_2250))),U_2251))
                & hBOOL(hAPP_f1854361213l_bool(hAPP_P1034346913l_bool(member978285664op_bop,hAPP_b1909667208op_bop(hAPP_b1058859669op_bop(product_Pair_bop_bop,sK452(U_2251,U_2250)),sK453(U_2251,U_2250))),U_2250)) ) )
            & is_bop(sK453(U_2251,U_2250))
            & is_bop(sK452(U_2251,U_2250)) ) ) )
      | ~ is_fun1083000568p_bool(U_2250)
      | ~ is_fun1083000568p_bool(U_2251) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK453]),skolemize(U_2246,sK453(U_2251,U_2250))],[f_420_3]) ).

cnf(f_420_5,plain,
    ( is_bop(sK452(U_2251,U_2250))
    | U_2250 = U_2251
    | ~ is_fun1083000568p_bool(U_2250)
    | ~ is_fun1083000568p_bool(U_2251) ),
    inference(clausify,[status(thm)],[f_420_4]) ).

cnf(f_420_6,plain,
    ( is_bop(sK453(U_2251,U_2250))
    | U_2250 = U_2251
    | ~ is_fun1083000568p_bool(U_2250)
    | ~ is_fun1083000568p_bool(U_2251) ),
    inference(clausify,[status(thm)],[f_420_4]) ).

cnf(f_420_7,plain,
    ( hBOOL(hAPP_f1854361213l_bool(hAPP_P1034346913l_bool(member978285664op_bop,hAPP_b1909667208op_bop(hAPP_b1058859669op_bop(product_Pair_bop_bop,sK452(U_2251,U_2250)),sK453(U_2251,U_2250))),U_2251))
    | hBOOL(hAPP_f1854361213l_bool(hAPP_P1034346913l_bool(member978285664op_bop,hAPP_b1909667208op_bop(hAPP_b1058859669op_bop(product_Pair_bop_bop,sK452(U_2251,U_2250)),sK453(U_2251,U_2250))),U_2250))
    | U_2250 = U_2251
    | ~ is_fun1083000568p_bool(U_2250)
    | ~ is_fun1083000568p_bool(U_2251) ),
    inference(clausify,[status(thm)],[f_420_4]) ).

cnf(f_420_8,plain,
    ( ~ hBOOL(hAPP_f1854361213l_bool(hAPP_P1034346913l_bool(member978285664op_bop,hAPP_b1909667208op_bop(hAPP_b1058859669op_bop(product_Pair_bop_bop,sK452(U_2251,U_2250)),sK453(U_2251,U_2250))),U_2250))
    | hBOOL(hAPP_f1854361213l_bool(hAPP_P1034346913l_bool(member978285664op_bop,hAPP_b1909667208op_bop(hAPP_b1058859669op_bop(product_Pair_bop_bop,sK452(U_2251,U_2250)),sK453(U_2251,U_2250))),U_2250))
    | U_2250 = U_2251
    | ~ is_fun1083000568p_bool(U_2250)
    | ~ is_fun1083000568p_bool(U_2251) ),
    inference(clausify,[status(thm)],[f_420_4]) ).

cnf(f_420_9,plain,
    ( hBOOL(hAPP_f1854361213l_bool(hAPP_P1034346913l_bool(member978285664op_bop,hAPP_b1909667208op_bop(hAPP_b1058859669op_bop(product_Pair_bop_bop,sK452(U_2251,U_2250)),sK453(U_2251,U_2250))),U_2251))
    | ~ hBOOL(hAPP_f1854361213l_bool(hAPP_P1034346913l_bool(member978285664op_bop,hAPP_b1909667208op_bop(hAPP_b1058859669op_bop(product_Pair_bop_bop,sK452(U_2251,U_2250)),sK453(U_2251,U_2250))),U_2251))
    | U_2250 = U_2251
    | ~ is_fun1083000568p_bool(U_2250)
    | ~ is_fun1083000568p_bool(U_2251) ),
    inference(clausify,[status(thm)],[f_420_4]) ).

cnf(f_420_10,plain,
    ( ~ hBOOL(hAPP_f1854361213l_bool(hAPP_P1034346913l_bool(member978285664op_bop,hAPP_b1909667208op_bop(hAPP_b1058859669op_bop(product_Pair_bop_bop,sK452(U_2251,U_2250)),sK453(U_2251,U_2250))),U_2250))
    | ~ hBOOL(hAPP_f1854361213l_bool(hAPP_P1034346913l_bool(member978285664op_bop,hAPP_b1909667208op_bop(hAPP_b1058859669op_bop(product_Pair_bop_bop,sK452(U_2251,U_2250)),sK453(U_2251,U_2250))),U_2251))
    | U_2250 = U_2251
    | ~ is_fun1083000568p_bool(U_2250)
    | ~ is_fun1083000568p_bool(U_2251) ),
    inference(clausify,[status(thm)],[f_420_4]) ).

cnf(f_420_11,plain,
    ( hBOOL(hAPP_f1854361213l_bool(hAPP_P1034346913l_bool(member978285664op_bop,hAPP_b1909667208op_bop(hAPP_b1058859669op_bop(product_Pair_bop_bop,U_2249),U_2248)),U_2251))
    | ~ hBOOL(hAPP_f1854361213l_bool(hAPP_P1034346913l_bool(member978285664op_bop,hAPP_b1909667208op_bop(hAPP_b1058859669op_bop(product_Pair_bop_bop,U_2249),U_2248)),U_2250))
    | ~ is_bop(U_2248)
    | ~ is_bop(U_2249)
    | U_2250 != U_2251
    | ~ is_fun1083000568p_bool(U_2250)
    | ~ is_fun1083000568p_bool(U_2251) ),
    inference(clausify,[status(thm)],[f_420_4]) ).

cnf(f_420_12,plain,
    ( hBOOL(hAPP_f1854361213l_bool(hAPP_P1034346913l_bool(member978285664op_bop,hAPP_b1909667208op_bop(hAPP_b1058859669op_bop(product_Pair_bop_bop,U_2249),U_2248)),U_2250))
    | ~ hBOOL(hAPP_f1854361213l_bool(hAPP_P1034346913l_bool(member978285664op_bop,hAPP_b1909667208op_bop(hAPP_b1058859669op_bop(product_Pair_bop_bop,U_2249),U_2248)),U_2251))
    | ~ is_bop(U_2248)
    | ~ is_bop(U_2249)
    | U_2250 != U_2251
    | ~ is_fun1083000568p_bool(U_2250)
    | ~ is_fun1083000568p_bool(U_2251) ),
    inference(clausify,[status(thm)],[f_420_4]) ).

fof(f_421_1,plain,
    ! [S_4,R_2] :
      ( ( ! [X_1,Xa] :
            ( ( hBOOL(hAPP_f983152497l_bool(hAPP_P1953134729l_bool(member781783252on_val,hAPP_f1146435765on_val(hAPP_f1744304433on_val(produc1618304727on_val,X_1),Xa)),R_2))
              | ~ hBOOL(hAPP_f983152497l_bool(hAPP_P1953134729l_bool(member781783252on_val,hAPP_f1146435765on_val(hAPP_f1744304433on_val(produc1618304727on_val,X_1),Xa)),S_4)) )
            & ( hBOOL(hAPP_f983152497l_bool(hAPP_P1953134729l_bool(member781783252on_val,hAPP_f1146435765on_val(hAPP_f1744304433on_val(produc1618304727on_val,X_1),Xa)),S_4))
              | ~ hBOOL(hAPP_f983152497l_bool(hAPP_P1953134729l_bool(member781783252on_val,hAPP_f1146435765on_val(hAPP_f1744304433on_val(produc1618304727on_val,X_1),Xa)),R_2)) ) )
        | R_2 != S_4 )
      & ( R_2 = S_4
        | ? [X_1,Xa] :
            ( ( ~ hBOOL(hAPP_f983152497l_bool(hAPP_P1953134729l_bool(member781783252on_val,hAPP_f1146435765on_val(hAPP_f1744304433on_val(produc1618304727on_val,X_1),Xa)),R_2))
              & hBOOL(hAPP_f983152497l_bool(hAPP_P1953134729l_bool(member781783252on_val,hAPP_f1146435765on_val(hAPP_f1744304433on_val(produc1618304727on_val,X_1),Xa)),S_4)) )
            | ( ~ hBOOL(hAPP_f983152497l_bool(hAPP_P1953134729l_bool(member781783252on_val,hAPP_f1146435765on_val(hAPP_f1744304433on_val(produc1618304727on_val,X_1),Xa)),S_4))
              & hBOOL(hAPP_f983152497l_bool(hAPP_P1953134729l_bool(member781783252on_val,hAPP_f1146435765on_val(hAPP_f1744304433on_val(produc1618304727on_val,X_1),Xa)),R_2)) ) ) ) ),
    inference(fof_nnf,[status(thm)],[fact_279_pred__equals__eq2]) ).

fof(f_421_2,plain,
    ! [U_2257,U_2256] :
      ( ( ! [U_2255,U_2254] :
            ( ( hBOOL(hAPP_f983152497l_bool(hAPP_P1953134729l_bool(member781783252on_val,hAPP_f1146435765on_val(hAPP_f1744304433on_val(produc1618304727on_val,U_2255),U_2254)),U_2256))
              | ~ hBOOL(hAPP_f983152497l_bool(hAPP_P1953134729l_bool(member781783252on_val,hAPP_f1146435765on_val(hAPP_f1744304433on_val(produc1618304727on_val,U_2255),U_2254)),U_2257)) )
            & ( hBOOL(hAPP_f983152497l_bool(hAPP_P1953134729l_bool(member781783252on_val,hAPP_f1146435765on_val(hAPP_f1744304433on_val(produc1618304727on_val,U_2255),U_2254)),U_2257))
              | ~ hBOOL(hAPP_f983152497l_bool(hAPP_P1953134729l_bool(member781783252on_val,hAPP_f1146435765on_val(hAPP_f1744304433on_val(produc1618304727on_val,U_2255),U_2254)),U_2256)) ) )
        | U_2256 != U_2257 )
      & ( U_2256 = U_2257
        | ? [U_2253,U_2252] :
            ( ( ~ hBOOL(hAPP_f983152497l_bool(hAPP_P1953134729l_bool(member781783252on_val,hAPP_f1146435765on_val(hAPP_f1744304433on_val(produc1618304727on_val,U_2253),U_2252)),U_2256))
              & hBOOL(hAPP_f983152497l_bool(hAPP_P1953134729l_bool(member781783252on_val,hAPP_f1146435765on_val(hAPP_f1744304433on_val(produc1618304727on_val,U_2253),U_2252)),U_2257)) )
            | ( ~ hBOOL(hAPP_f983152497l_bool(hAPP_P1953134729l_bool(member781783252on_val,hAPP_f1146435765on_val(hAPP_f1744304433on_val(produc1618304727on_val,U_2253),U_2252)),U_2257))
              & hBOOL(hAPP_f983152497l_bool(hAPP_P1953134729l_bool(member781783252on_val,hAPP_f1146435765on_val(hAPP_f1744304433on_val(produc1618304727on_val,U_2253),U_2252)),U_2256)) ) ) ) ),
    inference(variable_rename,[status(thm)],[f_421_1]) ).

fof(f_421_3,plain,
    ( ! [U_2269,U_2267] :
        ( ( ! [U_2265,U_2263] :
              ( hBOOL(hAPP_f983152497l_bool(hAPP_P1953134729l_bool(member781783252on_val,hAPP_f1146435765on_val(hAPP_f1744304433on_val(produc1618304727on_val,U_2265),U_2263)),U_2267))
              | ~ hBOOL(hAPP_f983152497l_bool(hAPP_P1953134729l_bool(member781783252on_val,hAPP_f1146435765on_val(hAPP_f1744304433on_val(produc1618304727on_val,U_2265),U_2263)),U_2269)) )
          & ! [U_2264,U_2262] :
              ( hBOOL(hAPP_f983152497l_bool(hAPP_P1953134729l_bool(member781783252on_val,hAPP_f1146435765on_val(hAPP_f1744304433on_val(produc1618304727on_val,U_2264),U_2262)),U_2269))
              | ~ hBOOL(hAPP_f983152497l_bool(hAPP_P1953134729l_bool(member781783252on_val,hAPP_f1146435765on_val(hAPP_f1744304433on_val(produc1618304727on_val,U_2264),U_2262)),U_2267)) ) )
        | U_2267 != U_2269 )
    & ! [U_2268,U_2266] :
        ( U_2266 = U_2268
        | ? [U_2261,U_2259] :
            ( ~ hBOOL(hAPP_f983152497l_bool(hAPP_P1953134729l_bool(member781783252on_val,hAPP_f1146435765on_val(hAPP_f1744304433on_val(produc1618304727on_val,U_2261),U_2259)),U_2266))
            & hBOOL(hAPP_f983152497l_bool(hAPP_P1953134729l_bool(member781783252on_val,hAPP_f1146435765on_val(hAPP_f1744304433on_val(produc1618304727on_val,U_2261),U_2259)),U_2268)) )
        | ? [U_2260,U_2258] :
            ( ~ hBOOL(hAPP_f983152497l_bool(hAPP_P1953134729l_bool(member781783252on_val,hAPP_f1146435765on_val(hAPP_f1744304433on_val(produc1618304727on_val,U_2260),U_2258)),U_2268))
            & hBOOL(hAPP_f983152497l_bool(hAPP_P1953134729l_bool(member781783252on_val,hAPP_f1146435765on_val(hAPP_f1744304433on_val(produc1618304727on_val,U_2260),U_2258)),U_2266)) ) ) ),
    inference(miniscope,[status(thm)],[f_421_2]) ).

fof(f_421_4,plain,
    ( ! [U_2269,U_2267] :
        ( ( ! [U_2265,U_2263] :
              ( hBOOL(hAPP_f983152497l_bool(hAPP_P1953134729l_bool(member781783252on_val,hAPP_f1146435765on_val(hAPP_f1744304433on_val(produc1618304727on_val,U_2265),U_2263)),U_2267))
              | ~ hBOOL(hAPP_f983152497l_bool(hAPP_P1953134729l_bool(member781783252on_val,hAPP_f1146435765on_val(hAPP_f1744304433on_val(produc1618304727on_val,U_2265),U_2263)),U_2269)) )
          & ! [U_2264,U_2262] :
              ( hBOOL(hAPP_f983152497l_bool(hAPP_P1953134729l_bool(member781783252on_val,hAPP_f1146435765on_val(hAPP_f1744304433on_val(produc1618304727on_val,U_2264),U_2262)),U_2269))
              | ~ hBOOL(hAPP_f983152497l_bool(hAPP_P1953134729l_bool(member781783252on_val,hAPP_f1146435765on_val(hAPP_f1744304433on_val(produc1618304727on_val,U_2264),U_2262)),U_2267)) ) )
        | U_2267 != U_2269 )
    & ! [U_2268,U_2266] :
        ( U_2266 = U_2268
        | ? [U_2261,U_2259] :
            ( ~ hBOOL(hAPP_f983152497l_bool(hAPP_P1953134729l_bool(member781783252on_val,hAPP_f1146435765on_val(hAPP_f1744304433on_val(produc1618304727on_val,U_2261),U_2259)),U_2266))
            & hBOOL(hAPP_f983152497l_bool(hAPP_P1953134729l_bool(member781783252on_val,hAPP_f1146435765on_val(hAPP_f1744304433on_val(produc1618304727on_val,U_2261),U_2259)),U_2268)) )
        | ? [U_2258] :
            ( ~ hBOOL(hAPP_f983152497l_bool(hAPP_P1953134729l_bool(member781783252on_val,hAPP_f1146435765on_val(hAPP_f1744304433on_val(produc1618304727on_val,sK454(U_2268,U_2266)),U_2258)),U_2268))
            & hBOOL(hAPP_f983152497l_bool(hAPP_P1953134729l_bool(member781783252on_val,hAPP_f1146435765on_val(hAPP_f1744304433on_val(produc1618304727on_val,sK454(U_2268,U_2266)),U_2258)),U_2266)) ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK454]),skolemize(U_2260,sK454(U_2268,U_2266))],[f_421_3]) ).

fof(f_421_5,plain,
    ( ! [U_2269,U_2267] :
        ( ( ! [U_2265,U_2263] :
              ( hBOOL(hAPP_f983152497l_bool(hAPP_P1953134729l_bool(member781783252on_val,hAPP_f1146435765on_val(hAPP_f1744304433on_val(produc1618304727on_val,U_2265),U_2263)),U_2267))
              | ~ hBOOL(hAPP_f983152497l_bool(hAPP_P1953134729l_bool(member781783252on_val,hAPP_f1146435765on_val(hAPP_f1744304433on_val(produc1618304727on_val,U_2265),U_2263)),U_2269)) )
          & ! [U_2264,U_2262] :
              ( hBOOL(hAPP_f983152497l_bool(hAPP_P1953134729l_bool(member781783252on_val,hAPP_f1146435765on_val(hAPP_f1744304433on_val(produc1618304727on_val,U_2264),U_2262)),U_2269))
              | ~ hBOOL(hAPP_f983152497l_bool(hAPP_P1953134729l_bool(member781783252on_val,hAPP_f1146435765on_val(hAPP_f1744304433on_val(produc1618304727on_val,U_2264),U_2262)),U_2267)) ) )
        | U_2267 != U_2269 )
    & ! [U_2268,U_2266] :
        ( U_2266 = U_2268
        | ? [U_2261,U_2259] :
            ( ~ hBOOL(hAPP_f983152497l_bool(hAPP_P1953134729l_bool(member781783252on_val,hAPP_f1146435765on_val(hAPP_f1744304433on_val(produc1618304727on_val,U_2261),U_2259)),U_2266))
            & hBOOL(hAPP_f983152497l_bool(hAPP_P1953134729l_bool(member781783252on_val,hAPP_f1146435765on_val(hAPP_f1744304433on_val(produc1618304727on_val,U_2261),U_2259)),U_2268)) )
        | ( ~ hBOOL(hAPP_f983152497l_bool(hAPP_P1953134729l_bool(member781783252on_val,hAPP_f1146435765on_val(hAPP_f1744304433on_val(produc1618304727on_val,sK454(U_2268,U_2266)),sK455(U_2268,U_2266))),U_2268))
          & hBOOL(hAPP_f983152497l_bool(hAPP_P1953134729l_bool(member781783252on_val,hAPP_f1146435765on_val(hAPP_f1744304433on_val(produc1618304727on_val,sK454(U_2268,U_2266)),sK455(U_2268,U_2266))),U_2266)) ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK455]),skolemize(U_2258,sK455(U_2268,U_2266))],[f_421_4]) ).

fof(f_421_6,plain,
    ( ! [U_2269,U_2267] :
        ( ( ! [U_2265,U_2263] :
              ( hBOOL(hAPP_f983152497l_bool(hAPP_P1953134729l_bool(member781783252on_val,hAPP_f1146435765on_val(hAPP_f1744304433on_val(produc1618304727on_val,U_2265),U_2263)),U_2267))
              | ~ hBOOL(hAPP_f983152497l_bool(hAPP_P1953134729l_bool(member781783252on_val,hAPP_f1146435765on_val(hAPP_f1744304433on_val(produc1618304727on_val,U_2265),U_2263)),U_2269)) )
          & ! [U_2264,U_2262] :
              ( hBOOL(hAPP_f983152497l_bool(hAPP_P1953134729l_bool(member781783252on_val,hAPP_f1146435765on_val(hAPP_f1744304433on_val(produc1618304727on_val,U_2264),U_2262)),U_2269))
              | ~ hBOOL(hAPP_f983152497l_bool(hAPP_P1953134729l_bool(member781783252on_val,hAPP_f1146435765on_val(hAPP_f1744304433on_val(produc1618304727on_val,U_2264),U_2262)),U_2267)) ) )
        | U_2267 != U_2269 )
    & ! [U_2268,U_2266] :
        ( U_2266 = U_2268
        | ? [U_2259] :
            ( ~ hBOOL(hAPP_f983152497l_bool(hAPP_P1953134729l_bool(member781783252on_val,hAPP_f1146435765on_val(hAPP_f1744304433on_val(produc1618304727on_val,sK456(U_2268,U_2266)),U_2259)),U_2266))
            & hBOOL(hAPP_f983152497l_bool(hAPP_P1953134729l_bool(member781783252on_val,hAPP_f1146435765on_val(hAPP_f1744304433on_val(produc1618304727on_val,sK456(U_2268,U_2266)),U_2259)),U_2268)) )
        | ( ~ hBOOL(hAPP_f983152497l_bool(hAPP_P1953134729l_bool(member781783252on_val,hAPP_f1146435765on_val(hAPP_f1744304433on_val(produc1618304727on_val,sK454(U_2268,U_2266)),sK455(U_2268,U_2266))),U_2268))
          & hBOOL(hAPP_f983152497l_bool(hAPP_P1953134729l_bool(member781783252on_val,hAPP_f1146435765on_val(hAPP_f1744304433on_val(produc1618304727on_val,sK454(U_2268,U_2266)),sK455(U_2268,U_2266))),U_2266)) ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK456]),skolemize(U_2261,sK456(U_2268,U_2266))],[f_421_5]) ).

fof(f_421_7,plain,
    ( ! [U_2269,U_2267] :
        ( ( ! [U_2265,U_2263] :
              ( hBOOL(hAPP_f983152497l_bool(hAPP_P1953134729l_bool(member781783252on_val,hAPP_f1146435765on_val(hAPP_f1744304433on_val(produc1618304727on_val,U_2265),U_2263)),U_2267))
              | ~ hBOOL(hAPP_f983152497l_bool(hAPP_P1953134729l_bool(member781783252on_val,hAPP_f1146435765on_val(hAPP_f1744304433on_val(produc1618304727on_val,U_2265),U_2263)),U_2269)) )
          & ! [U_2264,U_2262] :
              ( hBOOL(hAPP_f983152497l_bool(hAPP_P1953134729l_bool(member781783252on_val,hAPP_f1146435765on_val(hAPP_f1744304433on_val(produc1618304727on_val,U_2264),U_2262)),U_2269))
              | ~ hBOOL(hAPP_f983152497l_bool(hAPP_P1953134729l_bool(member781783252on_val,hAPP_f1146435765on_val(hAPP_f1744304433on_val(produc1618304727on_val,U_2264),U_2262)),U_2267)) ) )
        | U_2267 != U_2269 )
    & ! [U_2268,U_2266] :
        ( U_2266 = U_2268
        | ( ~ hBOOL(hAPP_f983152497l_bool(hAPP_P1953134729l_bool(member781783252on_val,hAPP_f1146435765on_val(hAPP_f1744304433on_val(produc1618304727on_val,sK456(U_2268,U_2266)),sK457(U_2268,U_2266))),U_2266))
          & hBOOL(hAPP_f983152497l_bool(hAPP_P1953134729l_bool(member781783252on_val,hAPP_f1146435765on_val(hAPP_f1744304433on_val(produc1618304727on_val,sK456(U_2268,U_2266)),sK457(U_2268,U_2266))),U_2268)) )
        | ( ~ hBOOL(hAPP_f983152497l_bool(hAPP_P1953134729l_bool(member781783252on_val,hAPP_f1146435765on_val(hAPP_f1744304433on_val(produc1618304727on_val,sK454(U_2268,U_2266)),sK455(U_2268,U_2266))),U_2268))
          & hBOOL(hAPP_f983152497l_bool(hAPP_P1953134729l_bool(member781783252on_val,hAPP_f1146435765on_val(hAPP_f1744304433on_val(produc1618304727on_val,sK454(U_2268,U_2266)),sK455(U_2268,U_2266))),U_2266)) ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK457]),skolemize(U_2259,sK457(U_2268,U_2266))],[f_421_6]) ).

cnf(f_421_8,plain,
    ( hBOOL(hAPP_f983152497l_bool(hAPP_P1953134729l_bool(member781783252on_val,hAPP_f1146435765on_val(hAPP_f1744304433on_val(produc1618304727on_val,sK456(U_2268,U_2266)),sK457(U_2268,U_2266))),U_2268))
    | hBOOL(hAPP_f983152497l_bool(hAPP_P1953134729l_bool(member781783252on_val,hAPP_f1146435765on_val(hAPP_f1744304433on_val(produc1618304727on_val,sK454(U_2268,U_2266)),sK455(U_2268,U_2266))),U_2266))
    | U_2266 = U_2268 ),
    inference(clausify,[status(thm)],[f_421_7]) ).

cnf(f_421_9,plain,
    ( ~ hBOOL(hAPP_f983152497l_bool(hAPP_P1953134729l_bool(member781783252on_val,hAPP_f1146435765on_val(hAPP_f1744304433on_val(produc1618304727on_val,sK456(U_2268,U_2266)),sK457(U_2268,U_2266))),U_2266))
    | hBOOL(hAPP_f983152497l_bool(hAPP_P1953134729l_bool(member781783252on_val,hAPP_f1146435765on_val(hAPP_f1744304433on_val(produc1618304727on_val,sK454(U_2268,U_2266)),sK455(U_2268,U_2266))),U_2266))
    | U_2266 = U_2268 ),
    inference(clausify,[status(thm)],[f_421_7]) ).

cnf(f_421_10,plain,
    ( hBOOL(hAPP_f983152497l_bool(hAPP_P1953134729l_bool(member781783252on_val,hAPP_f1146435765on_val(hAPP_f1744304433on_val(produc1618304727on_val,sK456(U_2268,U_2266)),sK457(U_2268,U_2266))),U_2268))
    | ~ hBOOL(hAPP_f983152497l_bool(hAPP_P1953134729l_bool(member781783252on_val,hAPP_f1146435765on_val(hAPP_f1744304433on_val(produc1618304727on_val,sK454(U_2268,U_2266)),sK455(U_2268,U_2266))),U_2268))
    | U_2266 = U_2268 ),
    inference(clausify,[status(thm)],[f_421_7]) ).

cnf(f_421_11,plain,
    ( ~ hBOOL(hAPP_f983152497l_bool(hAPP_P1953134729l_bool(member781783252on_val,hAPP_f1146435765on_val(hAPP_f1744304433on_val(produc1618304727on_val,sK456(U_2268,U_2266)),sK457(U_2268,U_2266))),U_2266))
    | ~ hBOOL(hAPP_f983152497l_bool(hAPP_P1953134729l_bool(member781783252on_val,hAPP_f1146435765on_val(hAPP_f1744304433on_val(produc1618304727on_val,sK454(U_2268,U_2266)),sK455(U_2268,U_2266))),U_2268))
    | U_2266 = U_2268 ),
    inference(clausify,[status(thm)],[f_421_7]) ).

cnf(f_421_12,plain,
    ( hBOOL(hAPP_f983152497l_bool(hAPP_P1953134729l_bool(member781783252on_val,hAPP_f1146435765on_val(hAPP_f1744304433on_val(produc1618304727on_val,U_2264),U_2262)),U_2269))
    | ~ hBOOL(hAPP_f983152497l_bool(hAPP_P1953134729l_bool(member781783252on_val,hAPP_f1146435765on_val(hAPP_f1744304433on_val(produc1618304727on_val,U_2264),U_2262)),U_2267))
    | U_2267 != U_2269 ),
    inference(clausify,[status(thm)],[f_421_7]) ).

cnf(f_421_13,plain,
    ( hBOOL(hAPP_f983152497l_bool(hAPP_P1953134729l_bool(member781783252on_val,hAPP_f1146435765on_val(hAPP_f1744304433on_val(produc1618304727on_val,U_2265),U_2263)),U_2267))
    | ~ hBOOL(hAPP_f983152497l_bool(hAPP_P1953134729l_bool(member781783252on_val,hAPP_f1146435765on_val(hAPP_f1744304433on_val(produc1618304727on_val,U_2265),U_2263)),U_2269))
    | U_2267 != U_2269 ),
    inference(clausify,[status(thm)],[f_421_7]) ).

fof(f_422_1,plain,
    ! [S_4,R_2] :
      ( ( ! [X_1,Xa] :
            ( ( hBOOL(hAPP_f1754555101l_bool(hAPP_P1679186017l_bool(member1337019328on_val,hAPP_f368284312on_val(hAPP_f1805337205on_val(produc1712663241on_val,X_1),Xa)),R_2))
              | ~ hBOOL(hAPP_f1754555101l_bool(hAPP_P1679186017l_bool(member1337019328on_val,hAPP_f368284312on_val(hAPP_f1805337205on_val(produc1712663241on_val,X_1),Xa)),S_4)) )
            & ( hBOOL(hAPP_f1754555101l_bool(hAPP_P1679186017l_bool(member1337019328on_val,hAPP_f368284312on_val(hAPP_f1805337205on_val(produc1712663241on_val,X_1),Xa)),S_4))
              | ~ hBOOL(hAPP_f1754555101l_bool(hAPP_P1679186017l_bool(member1337019328on_val,hAPP_f368284312on_val(hAPP_f1805337205on_val(produc1712663241on_val,X_1),Xa)),R_2)) ) )
        | R_2 != S_4 )
      & ( R_2 = S_4
        | ? [X_1,Xa] :
            ( ( ~ hBOOL(hAPP_f1754555101l_bool(hAPP_P1679186017l_bool(member1337019328on_val,hAPP_f368284312on_val(hAPP_f1805337205on_val(produc1712663241on_val,X_1),Xa)),R_2))
              & hBOOL(hAPP_f1754555101l_bool(hAPP_P1679186017l_bool(member1337019328on_val,hAPP_f368284312on_val(hAPP_f1805337205on_val(produc1712663241on_val,X_1),Xa)),S_4)) )
            | ( ~ hBOOL(hAPP_f1754555101l_bool(hAPP_P1679186017l_bool(member1337019328on_val,hAPP_f368284312on_val(hAPP_f1805337205on_val(produc1712663241on_val,X_1),Xa)),S_4))
              & hBOOL(hAPP_f1754555101l_bool(hAPP_P1679186017l_bool(member1337019328on_val,hAPP_f368284312on_val(hAPP_f1805337205on_val(produc1712663241on_val,X_1),Xa)),R_2)) ) ) ) ),
    inference(fof_nnf,[status(thm)],[fact_280_pred__equals__eq2]) ).

fof(f_422_2,plain,
    ! [U_2275,U_2274] :
      ( ( ! [U_2273,U_2272] :
            ( ( hBOOL(hAPP_f1754555101l_bool(hAPP_P1679186017l_bool(member1337019328on_val,hAPP_f368284312on_val(hAPP_f1805337205on_val(produc1712663241on_val,U_2273),U_2272)),U_2274))
              | ~ hBOOL(hAPP_f1754555101l_bool(hAPP_P1679186017l_bool(member1337019328on_val,hAPP_f368284312on_val(hAPP_f1805337205on_val(produc1712663241on_val,U_2273),U_2272)),U_2275)) )
            & ( hBOOL(hAPP_f1754555101l_bool(hAPP_P1679186017l_bool(member1337019328on_val,hAPP_f368284312on_val(hAPP_f1805337205on_val(produc1712663241on_val,U_2273),U_2272)),U_2275))
              | ~ hBOOL(hAPP_f1754555101l_bool(hAPP_P1679186017l_bool(member1337019328on_val,hAPP_f368284312on_val(hAPP_f1805337205on_val(produc1712663241on_val,U_2273),U_2272)),U_2274)) ) )
        | U_2274 != U_2275 )
      & ( U_2274 = U_2275
        | ? [U_2271,U_2270] :
            ( ( ~ hBOOL(hAPP_f1754555101l_bool(hAPP_P1679186017l_bool(member1337019328on_val,hAPP_f368284312on_val(hAPP_f1805337205on_val(produc1712663241on_val,U_2271),U_2270)),U_2274))
              & hBOOL(hAPP_f1754555101l_bool(hAPP_P1679186017l_bool(member1337019328on_val,hAPP_f368284312on_val(hAPP_f1805337205on_val(produc1712663241on_val,U_2271),U_2270)),U_2275)) )
            | ( ~ hBOOL(hAPP_f1754555101l_bool(hAPP_P1679186017l_bool(member1337019328on_val,hAPP_f368284312on_val(hAPP_f1805337205on_val(produc1712663241on_val,U_2271),U_2270)),U_2275))
              & hBOOL(hAPP_f1754555101l_bool(hAPP_P1679186017l_bool(member1337019328on_val,hAPP_f368284312on_val(hAPP_f1805337205on_val(produc1712663241on_val,U_2271),U_2270)),U_2274)) ) ) ) ),
    inference(variable_rename,[status(thm)],[f_422_1]) ).

fof(f_422_3,plain,
    ( ! [U_2287,U_2285] :
        ( ( ! [U_2283,U_2281] :
              ( hBOOL(hAPP_f1754555101l_bool(hAPP_P1679186017l_bool(member1337019328on_val,hAPP_f368284312on_val(hAPP_f1805337205on_val(produc1712663241on_val,U_2283),U_2281)),U_2285))
              | ~ hBOOL(hAPP_f1754555101l_bool(hAPP_P1679186017l_bool(member1337019328on_val,hAPP_f368284312on_val(hAPP_f1805337205on_val(produc1712663241on_val,U_2283),U_2281)),U_2287)) )
          & ! [U_2282,U_2280] :
              ( hBOOL(hAPP_f1754555101l_bool(hAPP_P1679186017l_bool(member1337019328on_val,hAPP_f368284312on_val(hAPP_f1805337205on_val(produc1712663241on_val,U_2282),U_2280)),U_2287))
              | ~ hBOOL(hAPP_f1754555101l_bool(hAPP_P1679186017l_bool(member1337019328on_val,hAPP_f368284312on_val(hAPP_f1805337205on_val(produc1712663241on_val,U_2282),U_2280)),U_2285)) ) )
        | U_2285 != U_2287 )
    & ! [U_2286,U_2284] :
        ( U_2284 = U_2286
        | ? [U_2279,U_2277] :
            ( ~ hBOOL(hAPP_f1754555101l_bool(hAPP_P1679186017l_bool(member1337019328on_val,hAPP_f368284312on_val(hAPP_f1805337205on_val(produc1712663241on_val,U_2279),U_2277)),U_2284))
            & hBOOL(hAPP_f1754555101l_bool(hAPP_P1679186017l_bool(member1337019328on_val,hAPP_f368284312on_val(hAPP_f1805337205on_val(produc1712663241on_val,U_2279),U_2277)),U_2286)) )
        | ? [U_2278,U_2276] :
            ( ~ hBOOL(hAPP_f1754555101l_bool(hAPP_P1679186017l_bool(member1337019328on_val,hAPP_f368284312on_val(hAPP_f1805337205on_val(produc1712663241on_val,U_2278),U_2276)),U_2286))
            & hBOOL(hAPP_f1754555101l_bool(hAPP_P1679186017l_bool(member1337019328on_val,hAPP_f368284312on_val(hAPP_f1805337205on_val(produc1712663241on_val,U_2278),U_2276)),U_2284)) ) ) ),
    inference(miniscope,[status(thm)],[f_422_2]) ).

fof(f_422_4,plain,
    ( ! [U_2287,U_2285] :
        ( ( ! [U_2283,U_2281] :
              ( hBOOL(hAPP_f1754555101l_bool(hAPP_P1679186017l_bool(member1337019328on_val,hAPP_f368284312on_val(hAPP_f1805337205on_val(produc1712663241on_val,U_2283),U_2281)),U_2285))
              | ~ hBOOL(hAPP_f1754555101l_bool(hAPP_P1679186017l_bool(member1337019328on_val,hAPP_f368284312on_val(hAPP_f1805337205on_val(produc1712663241on_val,U_2283),U_2281)),U_2287)) )
          & ! [U_2282,U_2280] :
              ( hBOOL(hAPP_f1754555101l_bool(hAPP_P1679186017l_bool(member1337019328on_val,hAPP_f368284312on_val(hAPP_f1805337205on_val(produc1712663241on_val,U_2282),U_2280)),U_2287))
              | ~ hBOOL(hAPP_f1754555101l_bool(hAPP_P1679186017l_bool(member1337019328on_val,hAPP_f368284312on_val(hAPP_f1805337205on_val(produc1712663241on_val,U_2282),U_2280)),U_2285)) ) )
        | U_2285 != U_2287 )
    & ! [U_2286,U_2284] :
        ( U_2284 = U_2286
        | ? [U_2279,U_2277] :
            ( ~ hBOOL(hAPP_f1754555101l_bool(hAPP_P1679186017l_bool(member1337019328on_val,hAPP_f368284312on_val(hAPP_f1805337205on_val(produc1712663241on_val,U_2279),U_2277)),U_2284))
            & hBOOL(hAPP_f1754555101l_bool(hAPP_P1679186017l_bool(member1337019328on_val,hAPP_f368284312on_val(hAPP_f1805337205on_val(produc1712663241on_val,U_2279),U_2277)),U_2286)) )
        | ? [U_2276] :
            ( ~ hBOOL(hAPP_f1754555101l_bool(hAPP_P1679186017l_bool(member1337019328on_val,hAPP_f368284312on_val(hAPP_f1805337205on_val(produc1712663241on_val,sK458(U_2286,U_2284)),U_2276)),U_2286))
            & hBOOL(hAPP_f1754555101l_bool(hAPP_P1679186017l_bool(member1337019328on_val,hAPP_f368284312on_val(hAPP_f1805337205on_val(produc1712663241on_val,sK458(U_2286,U_2284)),U_2276)),U_2284)) ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK458]),skolemize(U_2278,sK458(U_2286,U_2284))],[f_422_3]) ).

fof(f_422_5,plain,
    ( ! [U_2287,U_2285] :
        ( ( ! [U_2283,U_2281] :
              ( hBOOL(hAPP_f1754555101l_bool(hAPP_P1679186017l_bool(member1337019328on_val,hAPP_f368284312on_val(hAPP_f1805337205on_val(produc1712663241on_val,U_2283),U_2281)),U_2285))
              | ~ hBOOL(hAPP_f1754555101l_bool(hAPP_P1679186017l_bool(member1337019328on_val,hAPP_f368284312on_val(hAPP_f1805337205on_val(produc1712663241on_val,U_2283),U_2281)),U_2287)) )
          & ! [U_2282,U_2280] :
              ( hBOOL(hAPP_f1754555101l_bool(hAPP_P1679186017l_bool(member1337019328on_val,hAPP_f368284312on_val(hAPP_f1805337205on_val(produc1712663241on_val,U_2282),U_2280)),U_2287))
              | ~ hBOOL(hAPP_f1754555101l_bool(hAPP_P1679186017l_bool(member1337019328on_val,hAPP_f368284312on_val(hAPP_f1805337205on_val(produc1712663241on_val,U_2282),U_2280)),U_2285)) ) )
        | U_2285 != U_2287 )
    & ! [U_2286,U_2284] :
        ( U_2284 = U_2286
        | ? [U_2279,U_2277] :
            ( ~ hBOOL(hAPP_f1754555101l_bool(hAPP_P1679186017l_bool(member1337019328on_val,hAPP_f368284312on_val(hAPP_f1805337205on_val(produc1712663241on_val,U_2279),U_2277)),U_2284))
            & hBOOL(hAPP_f1754555101l_bool(hAPP_P1679186017l_bool(member1337019328on_val,hAPP_f368284312on_val(hAPP_f1805337205on_val(produc1712663241on_val,U_2279),U_2277)),U_2286)) )
        | ( ~ hBOOL(hAPP_f1754555101l_bool(hAPP_P1679186017l_bool(member1337019328on_val,hAPP_f368284312on_val(hAPP_f1805337205on_val(produc1712663241on_val,sK458(U_2286,U_2284)),sK459(U_2286,U_2284))),U_2286))
          & hBOOL(hAPP_f1754555101l_bool(hAPP_P1679186017l_bool(member1337019328on_val,hAPP_f368284312on_val(hAPP_f1805337205on_val(produc1712663241on_val,sK458(U_2286,U_2284)),sK459(U_2286,U_2284))),U_2284)) ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK459]),skolemize(U_2276,sK459(U_2286,U_2284))],[f_422_4]) ).

fof(f_422_6,plain,
    ( ! [U_2287,U_2285] :
        ( ( ! [U_2283,U_2281] :
              ( hBOOL(hAPP_f1754555101l_bool(hAPP_P1679186017l_bool(member1337019328on_val,hAPP_f368284312on_val(hAPP_f1805337205on_val(produc1712663241on_val,U_2283),U_2281)),U_2285))
              | ~ hBOOL(hAPP_f1754555101l_bool(hAPP_P1679186017l_bool(member1337019328on_val,hAPP_f368284312on_val(hAPP_f1805337205on_val(produc1712663241on_val,U_2283),U_2281)),U_2287)) )
          & ! [U_2282,U_2280] :
              ( hBOOL(hAPP_f1754555101l_bool(hAPP_P1679186017l_bool(member1337019328on_val,hAPP_f368284312on_val(hAPP_f1805337205on_val(produc1712663241on_val,U_2282),U_2280)),U_2287))
              | ~ hBOOL(hAPP_f1754555101l_bool(hAPP_P1679186017l_bool(member1337019328on_val,hAPP_f368284312on_val(hAPP_f1805337205on_val(produc1712663241on_val,U_2282),U_2280)),U_2285)) ) )
        | U_2285 != U_2287 )
    & ! [U_2286,U_2284] :
        ( U_2284 = U_2286
        | ? [U_2277] :
            ( ~ hBOOL(hAPP_f1754555101l_bool(hAPP_P1679186017l_bool(member1337019328on_val,hAPP_f368284312on_val(hAPP_f1805337205on_val(produc1712663241on_val,sK460(U_2286,U_2284)),U_2277)),U_2284))
            & hBOOL(hAPP_f1754555101l_bool(hAPP_P1679186017l_bool(member1337019328on_val,hAPP_f368284312on_val(hAPP_f1805337205on_val(produc1712663241on_val,sK460(U_2286,U_2284)),U_2277)),U_2286)) )
        | ( ~ hBOOL(hAPP_f1754555101l_bool(hAPP_P1679186017l_bool(member1337019328on_val,hAPP_f368284312on_val(hAPP_f1805337205on_val(produc1712663241on_val,sK458(U_2286,U_2284)),sK459(U_2286,U_2284))),U_2286))
          & hBOOL(hAPP_f1754555101l_bool(hAPP_P1679186017l_bool(member1337019328on_val,hAPP_f368284312on_val(hAPP_f1805337205on_val(produc1712663241on_val,sK458(U_2286,U_2284)),sK459(U_2286,U_2284))),U_2284)) ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK460]),skolemize(U_2279,sK460(U_2286,U_2284))],[f_422_5]) ).

fof(f_422_7,plain,
    ( ! [U_2287,U_2285] :
        ( ( ! [U_2283,U_2281] :
              ( hBOOL(hAPP_f1754555101l_bool(hAPP_P1679186017l_bool(member1337019328on_val,hAPP_f368284312on_val(hAPP_f1805337205on_val(produc1712663241on_val,U_2283),U_2281)),U_2285))
              | ~ hBOOL(hAPP_f1754555101l_bool(hAPP_P1679186017l_bool(member1337019328on_val,hAPP_f368284312on_val(hAPP_f1805337205on_val(produc1712663241on_val,U_2283),U_2281)),U_2287)) )
          & ! [U_2282,U_2280] :
              ( hBOOL(hAPP_f1754555101l_bool(hAPP_P1679186017l_bool(member1337019328on_val,hAPP_f368284312on_val(hAPP_f1805337205on_val(produc1712663241on_val,U_2282),U_2280)),U_2287))
              | ~ hBOOL(hAPP_f1754555101l_bool(hAPP_P1679186017l_bool(member1337019328on_val,hAPP_f368284312on_val(hAPP_f1805337205on_val(produc1712663241on_val,U_2282),U_2280)),U_2285)) ) )
        | U_2285 != U_2287 )
    & ! [U_2286,U_2284] :
        ( U_2284 = U_2286
        | ( ~ hBOOL(hAPP_f1754555101l_bool(hAPP_P1679186017l_bool(member1337019328on_val,hAPP_f368284312on_val(hAPP_f1805337205on_val(produc1712663241on_val,sK460(U_2286,U_2284)),sK461(U_2286,U_2284))),U_2284))
          & hBOOL(hAPP_f1754555101l_bool(hAPP_P1679186017l_bool(member1337019328on_val,hAPP_f368284312on_val(hAPP_f1805337205on_val(produc1712663241on_val,sK460(U_2286,U_2284)),sK461(U_2286,U_2284))),U_2286)) )
        | ( ~ hBOOL(hAPP_f1754555101l_bool(hAPP_P1679186017l_bool(member1337019328on_val,hAPP_f368284312on_val(hAPP_f1805337205on_val(produc1712663241on_val,sK458(U_2286,U_2284)),sK459(U_2286,U_2284))),U_2286))
          & hBOOL(hAPP_f1754555101l_bool(hAPP_P1679186017l_bool(member1337019328on_val,hAPP_f368284312on_val(hAPP_f1805337205on_val(produc1712663241on_val,sK458(U_2286,U_2284)),sK459(U_2286,U_2284))),U_2284)) ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK461]),skolemize(U_2277,sK461(U_2286,U_2284))],[f_422_6]) ).

cnf(f_422_8,plain,
    ( hBOOL(hAPP_f1754555101l_bool(hAPP_P1679186017l_bool(member1337019328on_val,hAPP_f368284312on_val(hAPP_f1805337205on_val(produc1712663241on_val,sK460(U_2286,U_2284)),sK461(U_2286,U_2284))),U_2286))
    | hBOOL(hAPP_f1754555101l_bool(hAPP_P1679186017l_bool(member1337019328on_val,hAPP_f368284312on_val(hAPP_f1805337205on_val(produc1712663241on_val,sK458(U_2286,U_2284)),sK459(U_2286,U_2284))),U_2284))
    | U_2284 = U_2286 ),
    inference(clausify,[status(thm)],[f_422_7]) ).

cnf(f_422_9,plain,
    ( ~ hBOOL(hAPP_f1754555101l_bool(hAPP_P1679186017l_bool(member1337019328on_val,hAPP_f368284312on_val(hAPP_f1805337205on_val(produc1712663241on_val,sK460(U_2286,U_2284)),sK461(U_2286,U_2284))),U_2284))
    | hBOOL(hAPP_f1754555101l_bool(hAPP_P1679186017l_bool(member1337019328on_val,hAPP_f368284312on_val(hAPP_f1805337205on_val(produc1712663241on_val,sK458(U_2286,U_2284)),sK459(U_2286,U_2284))),U_2284))
    | U_2284 = U_2286 ),
    inference(clausify,[status(thm)],[f_422_7]) ).

cnf(f_422_10,plain,
    ( hBOOL(hAPP_f1754555101l_bool(hAPP_P1679186017l_bool(member1337019328on_val,hAPP_f368284312on_val(hAPP_f1805337205on_val(produc1712663241on_val,sK460(U_2286,U_2284)),sK461(U_2286,U_2284))),U_2286))
    | ~ hBOOL(hAPP_f1754555101l_bool(hAPP_P1679186017l_bool(member1337019328on_val,hAPP_f368284312on_val(hAPP_f1805337205on_val(produc1712663241on_val,sK458(U_2286,U_2284)),sK459(U_2286,U_2284))),U_2286))
    | U_2284 = U_2286 ),
    inference(clausify,[status(thm)],[f_422_7]) ).

cnf(f_422_11,plain,
    ( ~ hBOOL(hAPP_f1754555101l_bool(hAPP_P1679186017l_bool(member1337019328on_val,hAPP_f368284312on_val(hAPP_f1805337205on_val(produc1712663241on_val,sK460(U_2286,U_2284)),sK461(U_2286,U_2284))),U_2284))
    | ~ hBOOL(hAPP_f1754555101l_bool(hAPP_P1679186017l_bool(member1337019328on_val,hAPP_f368284312on_val(hAPP_f1805337205on_val(produc1712663241on_val,sK458(U_2286,U_2284)),sK459(U_2286,U_2284))),U_2286))
    | U_2284 = U_2286 ),
    inference(clausify,[status(thm)],[f_422_7]) ).

cnf(f_422_12,plain,
    ( hBOOL(hAPP_f1754555101l_bool(hAPP_P1679186017l_bool(member1337019328on_val,hAPP_f368284312on_val(hAPP_f1805337205on_val(produc1712663241on_val,U_2282),U_2280)),U_2287))
    | ~ hBOOL(hAPP_f1754555101l_bool(hAPP_P1679186017l_bool(member1337019328on_val,hAPP_f368284312on_val(hAPP_f1805337205on_val(produc1712663241on_val,U_2282),U_2280)),U_2285))
    | U_2285 != U_2287 ),
    inference(clausify,[status(thm)],[f_422_7]) ).

cnf(f_422_13,plain,
    ( hBOOL(hAPP_f1754555101l_bool(hAPP_P1679186017l_bool(member1337019328on_val,hAPP_f368284312on_val(hAPP_f1805337205on_val(produc1712663241on_val,U_2283),U_2281)),U_2285))
    | ~ hBOOL(hAPP_f1754555101l_bool(hAPP_P1679186017l_bool(member1337019328on_val,hAPP_f368284312on_val(hAPP_f1805337205on_val(produc1712663241on_val,U_2283),U_2281)),U_2287))
    | U_2285 != U_2287 ),
    inference(clausify,[status(thm)],[f_422_7]) ).

fof(f_423_1,plain,
    ! [S_4,R_2] :
      ( ( ! [X_1,Xa] :
            ( ( hBOOL(hAPP_f1661305905l_bool(hAPP_P1878549513l_bool(member490182804on_val,hAPP_f1741070310on_val(hAPP_f864891091on_val(produc1960514199on_val,X_1),Xa)),R_2))
              | ~ hBOOL(hAPP_f1661305905l_bool(hAPP_P1878549513l_bool(member490182804on_val,hAPP_f1741070310on_val(hAPP_f864891091on_val(produc1960514199on_val,X_1),Xa)),S_4)) )
            & ( hBOOL(hAPP_f1661305905l_bool(hAPP_P1878549513l_bool(member490182804on_val,hAPP_f1741070310on_val(hAPP_f864891091on_val(produc1960514199on_val,X_1),Xa)),S_4))
              | ~ hBOOL(hAPP_f1661305905l_bool(hAPP_P1878549513l_bool(member490182804on_val,hAPP_f1741070310on_val(hAPP_f864891091on_val(produc1960514199on_val,X_1),Xa)),R_2)) ) )
        | R_2 != S_4 )
      & ( R_2 = S_4
        | ? [X_1,Xa] :
            ( ( ~ hBOOL(hAPP_f1661305905l_bool(hAPP_P1878549513l_bool(member490182804on_val,hAPP_f1741070310on_val(hAPP_f864891091on_val(produc1960514199on_val,X_1),Xa)),R_2))
              & hBOOL(hAPP_f1661305905l_bool(hAPP_P1878549513l_bool(member490182804on_val,hAPP_f1741070310on_val(hAPP_f864891091on_val(produc1960514199on_val,X_1),Xa)),S_4)) )
            | ( ~ hBOOL(hAPP_f1661305905l_bool(hAPP_P1878549513l_bool(member490182804on_val,hAPP_f1741070310on_val(hAPP_f864891091on_val(produc1960514199on_val,X_1),Xa)),S_4))
              & hBOOL(hAPP_f1661305905l_bool(hAPP_P1878549513l_bool(member490182804on_val,hAPP_f1741070310on_val(hAPP_f864891091on_val(produc1960514199on_val,X_1),Xa)),R_2)) ) ) ) ),
    inference(fof_nnf,[status(thm)],[fact_281_pred__equals__eq2]) ).

fof(f_423_2,plain,
    ! [U_2293,U_2292] :
      ( ( ! [U_2291,U_2290] :
            ( ( hBOOL(hAPP_f1661305905l_bool(hAPP_P1878549513l_bool(member490182804on_val,hAPP_f1741070310on_val(hAPP_f864891091on_val(produc1960514199on_val,U_2291),U_2290)),U_2292))
              | ~ hBOOL(hAPP_f1661305905l_bool(hAPP_P1878549513l_bool(member490182804on_val,hAPP_f1741070310on_val(hAPP_f864891091on_val(produc1960514199on_val,U_2291),U_2290)),U_2293)) )
            & ( hBOOL(hAPP_f1661305905l_bool(hAPP_P1878549513l_bool(member490182804on_val,hAPP_f1741070310on_val(hAPP_f864891091on_val(produc1960514199on_val,U_2291),U_2290)),U_2293))
              | ~ hBOOL(hAPP_f1661305905l_bool(hAPP_P1878549513l_bool(member490182804on_val,hAPP_f1741070310on_val(hAPP_f864891091on_val(produc1960514199on_val,U_2291),U_2290)),U_2292)) ) )
        | U_2292 != U_2293 )
      & ( U_2292 = U_2293
        | ? [U_2289,U_2288] :
            ( ( ~ hBOOL(hAPP_f1661305905l_bool(hAPP_P1878549513l_bool(member490182804on_val,hAPP_f1741070310on_val(hAPP_f864891091on_val(produc1960514199on_val,U_2289),U_2288)),U_2292))
              & hBOOL(hAPP_f1661305905l_bool(hAPP_P1878549513l_bool(member490182804on_val,hAPP_f1741070310on_val(hAPP_f864891091on_val(produc1960514199on_val,U_2289),U_2288)),U_2293)) )
            | ( ~ hBOOL(hAPP_f1661305905l_bool(hAPP_P1878549513l_bool(member490182804on_val,hAPP_f1741070310on_val(hAPP_f864891091on_val(produc1960514199on_val,U_2289),U_2288)),U_2293))
              & hBOOL(hAPP_f1661305905l_bool(hAPP_P1878549513l_bool(member490182804on_val,hAPP_f1741070310on_val(hAPP_f864891091on_val(produc1960514199on_val,U_2289),U_2288)),U_2292)) ) ) ) ),
    inference(variable_rename,[status(thm)],[f_423_1]) ).

fof(f_423_3,plain,
    ( ! [U_2305,U_2303] :
        ( ( ! [U_2301,U_2299] :
              ( hBOOL(hAPP_f1661305905l_bool(hAPP_P1878549513l_bool(member490182804on_val,hAPP_f1741070310on_val(hAPP_f864891091on_val(produc1960514199on_val,U_2301),U_2299)),U_2303))
              | ~ hBOOL(hAPP_f1661305905l_bool(hAPP_P1878549513l_bool(member490182804on_val,hAPP_f1741070310on_val(hAPP_f864891091on_val(produc1960514199on_val,U_2301),U_2299)),U_2305)) )
          & ! [U_2300,U_2298] :
              ( hBOOL(hAPP_f1661305905l_bool(hAPP_P1878549513l_bool(member490182804on_val,hAPP_f1741070310on_val(hAPP_f864891091on_val(produc1960514199on_val,U_2300),U_2298)),U_2305))
              | ~ hBOOL(hAPP_f1661305905l_bool(hAPP_P1878549513l_bool(member490182804on_val,hAPP_f1741070310on_val(hAPP_f864891091on_val(produc1960514199on_val,U_2300),U_2298)),U_2303)) ) )
        | U_2303 != U_2305 )
    & ! [U_2304,U_2302] :
        ( U_2302 = U_2304
        | ? [U_2297,U_2295] :
            ( ~ hBOOL(hAPP_f1661305905l_bool(hAPP_P1878549513l_bool(member490182804on_val,hAPP_f1741070310on_val(hAPP_f864891091on_val(produc1960514199on_val,U_2297),U_2295)),U_2302))
            & hBOOL(hAPP_f1661305905l_bool(hAPP_P1878549513l_bool(member490182804on_val,hAPP_f1741070310on_val(hAPP_f864891091on_val(produc1960514199on_val,U_2297),U_2295)),U_2304)) )
        | ? [U_2296,U_2294] :
            ( ~ hBOOL(hAPP_f1661305905l_bool(hAPP_P1878549513l_bool(member490182804on_val,hAPP_f1741070310on_val(hAPP_f864891091on_val(produc1960514199on_val,U_2296),U_2294)),U_2304))
            & hBOOL(hAPP_f1661305905l_bool(hAPP_P1878549513l_bool(member490182804on_val,hAPP_f1741070310on_val(hAPP_f864891091on_val(produc1960514199on_val,U_2296),U_2294)),U_2302)) ) ) ),
    inference(miniscope,[status(thm)],[f_423_2]) ).

fof(f_423_4,plain,
    ( ! [U_2305,U_2303] :
        ( ( ! [U_2301,U_2299] :
              ( hBOOL(hAPP_f1661305905l_bool(hAPP_P1878549513l_bool(member490182804on_val,hAPP_f1741070310on_val(hAPP_f864891091on_val(produc1960514199on_val,U_2301),U_2299)),U_2303))
              | ~ hBOOL(hAPP_f1661305905l_bool(hAPP_P1878549513l_bool(member490182804on_val,hAPP_f1741070310on_val(hAPP_f864891091on_val(produc1960514199on_val,U_2301),U_2299)),U_2305)) )
          & ! [U_2300,U_2298] :
              ( hBOOL(hAPP_f1661305905l_bool(hAPP_P1878549513l_bool(member490182804on_val,hAPP_f1741070310on_val(hAPP_f864891091on_val(produc1960514199on_val,U_2300),U_2298)),U_2305))
              | ~ hBOOL(hAPP_f1661305905l_bool(hAPP_P1878549513l_bool(member490182804on_val,hAPP_f1741070310on_val(hAPP_f864891091on_val(produc1960514199on_val,U_2300),U_2298)),U_2303)) ) )
        | U_2303 != U_2305 )
    & ! [U_2304,U_2302] :
        ( U_2302 = U_2304
        | ? [U_2297,U_2295] :
            ( ~ hBOOL(hAPP_f1661305905l_bool(hAPP_P1878549513l_bool(member490182804on_val,hAPP_f1741070310on_val(hAPP_f864891091on_val(produc1960514199on_val,U_2297),U_2295)),U_2302))
            & hBOOL(hAPP_f1661305905l_bool(hAPP_P1878549513l_bool(member490182804on_val,hAPP_f1741070310on_val(hAPP_f864891091on_val(produc1960514199on_val,U_2297),U_2295)),U_2304)) )
        | ? [U_2294] :
            ( ~ hBOOL(hAPP_f1661305905l_bool(hAPP_P1878549513l_bool(member490182804on_val,hAPP_f1741070310on_val(hAPP_f864891091on_val(produc1960514199on_val,sK462(U_2304,U_2302)),U_2294)),U_2304))
            & hBOOL(hAPP_f1661305905l_bool(hAPP_P1878549513l_bool(member490182804on_val,hAPP_f1741070310on_val(hAPP_f864891091on_val(produc1960514199on_val,sK462(U_2304,U_2302)),U_2294)),U_2302)) ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK462]),skolemize(U_2296,sK462(U_2304,U_2302))],[f_423_3]) ).

fof(f_423_5,plain,
    ( ! [U_2305,U_2303] :
        ( ( ! [U_2301,U_2299] :
              ( hBOOL(hAPP_f1661305905l_bool(hAPP_P1878549513l_bool(member490182804on_val,hAPP_f1741070310on_val(hAPP_f864891091on_val(produc1960514199on_val,U_2301),U_2299)),U_2303))
              | ~ hBOOL(hAPP_f1661305905l_bool(hAPP_P1878549513l_bool(member490182804on_val,hAPP_f1741070310on_val(hAPP_f864891091on_val(produc1960514199on_val,U_2301),U_2299)),U_2305)) )
          & ! [U_2300,U_2298] :
              ( hBOOL(hAPP_f1661305905l_bool(hAPP_P1878549513l_bool(member490182804on_val,hAPP_f1741070310on_val(hAPP_f864891091on_val(produc1960514199on_val,U_2300),U_2298)),U_2305))
              | ~ hBOOL(hAPP_f1661305905l_bool(hAPP_P1878549513l_bool(member490182804on_val,hAPP_f1741070310on_val(hAPP_f864891091on_val(produc1960514199on_val,U_2300),U_2298)),U_2303)) ) )
        | U_2303 != U_2305 )
    & ! [U_2304,U_2302] :
        ( U_2302 = U_2304
        | ? [U_2297,U_2295] :
            ( ~ hBOOL(hAPP_f1661305905l_bool(hAPP_P1878549513l_bool(member490182804on_val,hAPP_f1741070310on_val(hAPP_f864891091on_val(produc1960514199on_val,U_2297),U_2295)),U_2302))
            & hBOOL(hAPP_f1661305905l_bool(hAPP_P1878549513l_bool(member490182804on_val,hAPP_f1741070310on_val(hAPP_f864891091on_val(produc1960514199on_val,U_2297),U_2295)),U_2304)) )
        | ( ~ hBOOL(hAPP_f1661305905l_bool(hAPP_P1878549513l_bool(member490182804on_val,hAPP_f1741070310on_val(hAPP_f864891091on_val(produc1960514199on_val,sK462(U_2304,U_2302)),sK463(U_2304,U_2302))),U_2304))
          & hBOOL(hAPP_f1661305905l_bool(hAPP_P1878549513l_bool(member490182804on_val,hAPP_f1741070310on_val(hAPP_f864891091on_val(produc1960514199on_val,sK462(U_2304,U_2302)),sK463(U_2304,U_2302))),U_2302)) ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK463]),skolemize(U_2294,sK463(U_2304,U_2302))],[f_423_4]) ).

fof(f_423_6,plain,
    ( ! [U_2305,U_2303] :
        ( ( ! [U_2301,U_2299] :
              ( hBOOL(hAPP_f1661305905l_bool(hAPP_P1878549513l_bool(member490182804on_val,hAPP_f1741070310on_val(hAPP_f864891091on_val(produc1960514199on_val,U_2301),U_2299)),U_2303))
              | ~ hBOOL(hAPP_f1661305905l_bool(hAPP_P1878549513l_bool(member490182804on_val,hAPP_f1741070310on_val(hAPP_f864891091on_val(produc1960514199on_val,U_2301),U_2299)),U_2305)) )
          & ! [U_2300,U_2298] :
              ( hBOOL(hAPP_f1661305905l_bool(hAPP_P1878549513l_bool(member490182804on_val,hAPP_f1741070310on_val(hAPP_f864891091on_val(produc1960514199on_val,U_2300),U_2298)),U_2305))
              | ~ hBOOL(hAPP_f1661305905l_bool(hAPP_P1878549513l_bool(member490182804on_val,hAPP_f1741070310on_val(hAPP_f864891091on_val(produc1960514199on_val,U_2300),U_2298)),U_2303)) ) )
        | U_2303 != U_2305 )
    & ! [U_2304,U_2302] :
        ( U_2302 = U_2304
        | ? [U_2295] :
            ( ~ hBOOL(hAPP_f1661305905l_bool(hAPP_P1878549513l_bool(member490182804on_val,hAPP_f1741070310on_val(hAPP_f864891091on_val(produc1960514199on_val,sK464(U_2304,U_2302)),U_2295)),U_2302))
            & hBOOL(hAPP_f1661305905l_bool(hAPP_P1878549513l_bool(member490182804on_val,hAPP_f1741070310on_val(hAPP_f864891091on_val(produc1960514199on_val,sK464(U_2304,U_2302)),U_2295)),U_2304)) )
        | ( ~ hBOOL(hAPP_f1661305905l_bool(hAPP_P1878549513l_bool(member490182804on_val,hAPP_f1741070310on_val(hAPP_f864891091on_val(produc1960514199on_val,sK462(U_2304,U_2302)),sK463(U_2304,U_2302))),U_2304))
          & hBOOL(hAPP_f1661305905l_bool(hAPP_P1878549513l_bool(member490182804on_val,hAPP_f1741070310on_val(hAPP_f864891091on_val(produc1960514199on_val,sK462(U_2304,U_2302)),sK463(U_2304,U_2302))),U_2302)) ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK464]),skolemize(U_2297,sK464(U_2304,U_2302))],[f_423_5]) ).

fof(f_423_7,plain,
    ( ! [U_2305,U_2303] :
        ( ( ! [U_2301,U_2299] :
              ( hBOOL(hAPP_f1661305905l_bool(hAPP_P1878549513l_bool(member490182804on_val,hAPP_f1741070310on_val(hAPP_f864891091on_val(produc1960514199on_val,U_2301),U_2299)),U_2303))
              | ~ hBOOL(hAPP_f1661305905l_bool(hAPP_P1878549513l_bool(member490182804on_val,hAPP_f1741070310on_val(hAPP_f864891091on_val(produc1960514199on_val,U_2301),U_2299)),U_2305)) )
          & ! [U_2300,U_2298] :
              ( hBOOL(hAPP_f1661305905l_bool(hAPP_P1878549513l_bool(member490182804on_val,hAPP_f1741070310on_val(hAPP_f864891091on_val(produc1960514199on_val,U_2300),U_2298)),U_2305))
              | ~ hBOOL(hAPP_f1661305905l_bool(hAPP_P1878549513l_bool(member490182804on_val,hAPP_f1741070310on_val(hAPP_f864891091on_val(produc1960514199on_val,U_2300),U_2298)),U_2303)) ) )
        | U_2303 != U_2305 )
    & ! [U_2304,U_2302] :
        ( U_2302 = U_2304
        | ( ~ hBOOL(hAPP_f1661305905l_bool(hAPP_P1878549513l_bool(member490182804on_val,hAPP_f1741070310on_val(hAPP_f864891091on_val(produc1960514199on_val,sK464(U_2304,U_2302)),sK465(U_2304,U_2302))),U_2302))
          & hBOOL(hAPP_f1661305905l_bool(hAPP_P1878549513l_bool(member490182804on_val,hAPP_f1741070310on_val(hAPP_f864891091on_val(produc1960514199on_val,sK464(U_2304,U_2302)),sK465(U_2304,U_2302))),U_2304)) )
        | ( ~ hBOOL(hAPP_f1661305905l_bool(hAPP_P1878549513l_bool(member490182804on_val,hAPP_f1741070310on_val(hAPP_f864891091on_val(produc1960514199on_val,sK462(U_2304,U_2302)),sK463(U_2304,U_2302))),U_2304))
          & hBOOL(hAPP_f1661305905l_bool(hAPP_P1878549513l_bool(member490182804on_val,hAPP_f1741070310on_val(hAPP_f864891091on_val(produc1960514199on_val,sK462(U_2304,U_2302)),sK463(U_2304,U_2302))),U_2302)) ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK465]),skolemize(U_2295,sK465(U_2304,U_2302))],[f_423_6]) ).

cnf(f_423_8,plain,
    ( hBOOL(hAPP_f1661305905l_bool(hAPP_P1878549513l_bool(member490182804on_val,hAPP_f1741070310on_val(hAPP_f864891091on_val(produc1960514199on_val,sK464(U_2304,U_2302)),sK465(U_2304,U_2302))),U_2304))
    | hBOOL(hAPP_f1661305905l_bool(hAPP_P1878549513l_bool(member490182804on_val,hAPP_f1741070310on_val(hAPP_f864891091on_val(produc1960514199on_val,sK462(U_2304,U_2302)),sK463(U_2304,U_2302))),U_2302))
    | U_2302 = U_2304 ),
    inference(clausify,[status(thm)],[f_423_7]) ).

cnf(f_423_9,plain,
    ( ~ hBOOL(hAPP_f1661305905l_bool(hAPP_P1878549513l_bool(member490182804on_val,hAPP_f1741070310on_val(hAPP_f864891091on_val(produc1960514199on_val,sK464(U_2304,U_2302)),sK465(U_2304,U_2302))),U_2302))
    | hBOOL(hAPP_f1661305905l_bool(hAPP_P1878549513l_bool(member490182804on_val,hAPP_f1741070310on_val(hAPP_f864891091on_val(produc1960514199on_val,sK462(U_2304,U_2302)),sK463(U_2304,U_2302))),U_2302))
    | U_2302 = U_2304 ),
    inference(clausify,[status(thm)],[f_423_7]) ).

cnf(f_423_10,plain,
    ( hBOOL(hAPP_f1661305905l_bool(hAPP_P1878549513l_bool(member490182804on_val,hAPP_f1741070310on_val(hAPP_f864891091on_val(produc1960514199on_val,sK464(U_2304,U_2302)),sK465(U_2304,U_2302))),U_2304))
    | ~ hBOOL(hAPP_f1661305905l_bool(hAPP_P1878549513l_bool(member490182804on_val,hAPP_f1741070310on_val(hAPP_f864891091on_val(produc1960514199on_val,sK462(U_2304,U_2302)),sK463(U_2304,U_2302))),U_2304))
    | U_2302 = U_2304 ),
    inference(clausify,[status(thm)],[f_423_7]) ).

cnf(f_423_11,plain,
    ( ~ hBOOL(hAPP_f1661305905l_bool(hAPP_P1878549513l_bool(member490182804on_val,hAPP_f1741070310on_val(hAPP_f864891091on_val(produc1960514199on_val,sK464(U_2304,U_2302)),sK465(U_2304,U_2302))),U_2302))
    | ~ hBOOL(hAPP_f1661305905l_bool(hAPP_P1878549513l_bool(member490182804on_val,hAPP_f1741070310on_val(hAPP_f864891091on_val(produc1960514199on_val,sK462(U_2304,U_2302)),sK463(U_2304,U_2302))),U_2304))
    | U_2302 = U_2304 ),
    inference(clausify,[status(thm)],[f_423_7]) ).

cnf(f_423_12,plain,
    ( hBOOL(hAPP_f1661305905l_bool(hAPP_P1878549513l_bool(member490182804on_val,hAPP_f1741070310on_val(hAPP_f864891091on_val(produc1960514199on_val,U_2300),U_2298)),U_2305))
    | ~ hBOOL(hAPP_f1661305905l_bool(hAPP_P1878549513l_bool(member490182804on_val,hAPP_f1741070310on_val(hAPP_f864891091on_val(produc1960514199on_val,U_2300),U_2298)),U_2303))
    | U_2303 != U_2305 ),
    inference(clausify,[status(thm)],[f_423_7]) ).

cnf(f_423_13,plain,
    ( hBOOL(hAPP_f1661305905l_bool(hAPP_P1878549513l_bool(member490182804on_val,hAPP_f1741070310on_val(hAPP_f864891091on_val(produc1960514199on_val,U_2301),U_2299)),U_2303))
    | ~ hBOOL(hAPP_f1661305905l_bool(hAPP_P1878549513l_bool(member490182804on_val,hAPP_f1741070310on_val(hAPP_f864891091on_val(produc1960514199on_val,U_2301),U_2299)),U_2305))
    | U_2303 != U_2305 ),
    inference(clausify,[status(thm)],[f_423_7]) ).

fof(f_424_1,plain,
    ! [S_4,R_2] :
      ( ( ! [X_1,Xa] :
            ( ( hBOOL(hAPP_f91506671l_bool(hAPP_P2015860941l_bool(member840932460on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,X_1),Xa)),R_2))
              | ~ hBOOL(hAPP_f91506671l_bool(hAPP_P2015860941l_bool(member840932460on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,X_1),Xa)),S_4)) )
            & ( hBOOL(hAPP_f91506671l_bool(hAPP_P2015860941l_bool(member840932460on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,X_1),Xa)),S_4))
              | ~ hBOOL(hAPP_f91506671l_bool(hAPP_P2015860941l_bool(member840932460on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,X_1),Xa)),R_2)) ) )
        | R_2 != S_4 )
      & ( R_2 = S_4
        | ? [X_1,Xa] :
            ( ( ~ hBOOL(hAPP_f91506671l_bool(hAPP_P2015860941l_bool(member840932460on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,X_1),Xa)),R_2))
              & hBOOL(hAPP_f91506671l_bool(hAPP_P2015860941l_bool(member840932460on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,X_1),Xa)),S_4)) )
            | ( ~ hBOOL(hAPP_f91506671l_bool(hAPP_P2015860941l_bool(member840932460on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,X_1),Xa)),S_4))
              & hBOOL(hAPP_f91506671l_bool(hAPP_P2015860941l_bool(member840932460on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,X_1),Xa)),R_2)) ) ) ) ),
    inference(fof_nnf,[status(thm)],[fact_282_pred__equals__eq2]) ).

fof(f_424_2,plain,
    ! [U_2311,U_2310] :
      ( ( ! [U_2309,U_2308] :
            ( ( hBOOL(hAPP_f91506671l_bool(hAPP_P2015860941l_bool(member840932460on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_2309),U_2308)),U_2310))
              | ~ hBOOL(hAPP_f91506671l_bool(hAPP_P2015860941l_bool(member840932460on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_2309),U_2308)),U_2311)) )
            & ( hBOOL(hAPP_f91506671l_bool(hAPP_P2015860941l_bool(member840932460on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_2309),U_2308)),U_2311))
              | ~ hBOOL(hAPP_f91506671l_bool(hAPP_P2015860941l_bool(member840932460on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_2309),U_2308)),U_2310)) ) )
        | U_2310 != U_2311 )
      & ( U_2310 = U_2311
        | ? [U_2307,U_2306] :
            ( ( ~ hBOOL(hAPP_f91506671l_bool(hAPP_P2015860941l_bool(member840932460on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_2307),U_2306)),U_2310))
              & hBOOL(hAPP_f91506671l_bool(hAPP_P2015860941l_bool(member840932460on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_2307),U_2306)),U_2311)) )
            | ( ~ hBOOL(hAPP_f91506671l_bool(hAPP_P2015860941l_bool(member840932460on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_2307),U_2306)),U_2311))
              & hBOOL(hAPP_f91506671l_bool(hAPP_P2015860941l_bool(member840932460on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_2307),U_2306)),U_2310)) ) ) ) ),
    inference(variable_rename,[status(thm)],[f_424_1]) ).

fof(f_424_3,plain,
    ( ! [U_2323,U_2321] :
        ( ( ! [U_2319,U_2317] :
              ( hBOOL(hAPP_f91506671l_bool(hAPP_P2015860941l_bool(member840932460on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_2319),U_2317)),U_2321))
              | ~ hBOOL(hAPP_f91506671l_bool(hAPP_P2015860941l_bool(member840932460on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_2319),U_2317)),U_2323)) )
          & ! [U_2318,U_2316] :
              ( hBOOL(hAPP_f91506671l_bool(hAPP_P2015860941l_bool(member840932460on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_2318),U_2316)),U_2323))
              | ~ hBOOL(hAPP_f91506671l_bool(hAPP_P2015860941l_bool(member840932460on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_2318),U_2316)),U_2321)) ) )
        | U_2321 != U_2323 )
    & ! [U_2322,U_2320] :
        ( U_2320 = U_2322
        | ? [U_2315,U_2313] :
            ( ~ hBOOL(hAPP_f91506671l_bool(hAPP_P2015860941l_bool(member840932460on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_2315),U_2313)),U_2320))
            & hBOOL(hAPP_f91506671l_bool(hAPP_P2015860941l_bool(member840932460on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_2315),U_2313)),U_2322)) )
        | ? [U_2314,U_2312] :
            ( ~ hBOOL(hAPP_f91506671l_bool(hAPP_P2015860941l_bool(member840932460on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_2314),U_2312)),U_2322))
            & hBOOL(hAPP_f91506671l_bool(hAPP_P2015860941l_bool(member840932460on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_2314),U_2312)),U_2320)) ) ) ),
    inference(miniscope,[status(thm)],[f_424_2]) ).

fof(f_424_4,plain,
    ( ! [U_2323,U_2321] :
        ( ( ! [U_2319,U_2317] :
              ( hBOOL(hAPP_f91506671l_bool(hAPP_P2015860941l_bool(member840932460on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_2319),U_2317)),U_2321))
              | ~ hBOOL(hAPP_f91506671l_bool(hAPP_P2015860941l_bool(member840932460on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_2319),U_2317)),U_2323)) )
          & ! [U_2318,U_2316] :
              ( hBOOL(hAPP_f91506671l_bool(hAPP_P2015860941l_bool(member840932460on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_2318),U_2316)),U_2323))
              | ~ hBOOL(hAPP_f91506671l_bool(hAPP_P2015860941l_bool(member840932460on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_2318),U_2316)),U_2321)) ) )
        | U_2321 != U_2323 )
    & ! [U_2322,U_2320] :
        ( U_2320 = U_2322
        | ? [U_2315,U_2313] :
            ( ~ hBOOL(hAPP_f91506671l_bool(hAPP_P2015860941l_bool(member840932460on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_2315),U_2313)),U_2320))
            & hBOOL(hAPP_f91506671l_bool(hAPP_P2015860941l_bool(member840932460on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_2315),U_2313)),U_2322)) )
        | ? [U_2312] :
            ( ~ hBOOL(hAPP_f91506671l_bool(hAPP_P2015860941l_bool(member840932460on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK466(U_2322,U_2320)),U_2312)),U_2322))
            & hBOOL(hAPP_f91506671l_bool(hAPP_P2015860941l_bool(member840932460on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK466(U_2322,U_2320)),U_2312)),U_2320)) ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK466]),skolemize(U_2314,sK466(U_2322,U_2320))],[f_424_3]) ).

fof(f_424_5,plain,
    ( ! [U_2323,U_2321] :
        ( ( ! [U_2319,U_2317] :
              ( hBOOL(hAPP_f91506671l_bool(hAPP_P2015860941l_bool(member840932460on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_2319),U_2317)),U_2321))
              | ~ hBOOL(hAPP_f91506671l_bool(hAPP_P2015860941l_bool(member840932460on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_2319),U_2317)),U_2323)) )
          & ! [U_2318,U_2316] :
              ( hBOOL(hAPP_f91506671l_bool(hAPP_P2015860941l_bool(member840932460on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_2318),U_2316)),U_2323))
              | ~ hBOOL(hAPP_f91506671l_bool(hAPP_P2015860941l_bool(member840932460on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_2318),U_2316)),U_2321)) ) )
        | U_2321 != U_2323 )
    & ! [U_2322,U_2320] :
        ( U_2320 = U_2322
        | ? [U_2315,U_2313] :
            ( ~ hBOOL(hAPP_f91506671l_bool(hAPP_P2015860941l_bool(member840932460on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_2315),U_2313)),U_2320))
            & hBOOL(hAPP_f91506671l_bool(hAPP_P2015860941l_bool(member840932460on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_2315),U_2313)),U_2322)) )
        | ( ~ hBOOL(hAPP_f91506671l_bool(hAPP_P2015860941l_bool(member840932460on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK466(U_2322,U_2320)),sK467(U_2322,U_2320))),U_2322))
          & hBOOL(hAPP_f91506671l_bool(hAPP_P2015860941l_bool(member840932460on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK466(U_2322,U_2320)),sK467(U_2322,U_2320))),U_2320)) ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK467]),skolemize(U_2312,sK467(U_2322,U_2320))],[f_424_4]) ).

fof(f_424_6,plain,
    ( ! [U_2323,U_2321] :
        ( ( ! [U_2319,U_2317] :
              ( hBOOL(hAPP_f91506671l_bool(hAPP_P2015860941l_bool(member840932460on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_2319),U_2317)),U_2321))
              | ~ hBOOL(hAPP_f91506671l_bool(hAPP_P2015860941l_bool(member840932460on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_2319),U_2317)),U_2323)) )
          & ! [U_2318,U_2316] :
              ( hBOOL(hAPP_f91506671l_bool(hAPP_P2015860941l_bool(member840932460on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_2318),U_2316)),U_2323))
              | ~ hBOOL(hAPP_f91506671l_bool(hAPP_P2015860941l_bool(member840932460on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_2318),U_2316)),U_2321)) ) )
        | U_2321 != U_2323 )
    & ! [U_2322,U_2320] :
        ( U_2320 = U_2322
        | ? [U_2313] :
            ( ~ hBOOL(hAPP_f91506671l_bool(hAPP_P2015860941l_bool(member840932460on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK468(U_2322,U_2320)),U_2313)),U_2320))
            & hBOOL(hAPP_f91506671l_bool(hAPP_P2015860941l_bool(member840932460on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK468(U_2322,U_2320)),U_2313)),U_2322)) )
        | ( ~ hBOOL(hAPP_f91506671l_bool(hAPP_P2015860941l_bool(member840932460on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK466(U_2322,U_2320)),sK467(U_2322,U_2320))),U_2322))
          & hBOOL(hAPP_f91506671l_bool(hAPP_P2015860941l_bool(member840932460on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK466(U_2322,U_2320)),sK467(U_2322,U_2320))),U_2320)) ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK468]),skolemize(U_2315,sK468(U_2322,U_2320))],[f_424_5]) ).

fof(f_424_7,plain,
    ( ! [U_2323,U_2321] :
        ( ( ! [U_2319,U_2317] :
              ( hBOOL(hAPP_f91506671l_bool(hAPP_P2015860941l_bool(member840932460on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_2319),U_2317)),U_2321))
              | ~ hBOOL(hAPP_f91506671l_bool(hAPP_P2015860941l_bool(member840932460on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_2319),U_2317)),U_2323)) )
          & ! [U_2318,U_2316] :
              ( hBOOL(hAPP_f91506671l_bool(hAPP_P2015860941l_bool(member840932460on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_2318),U_2316)),U_2323))
              | ~ hBOOL(hAPP_f91506671l_bool(hAPP_P2015860941l_bool(member840932460on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_2318),U_2316)),U_2321)) ) )
        | U_2321 != U_2323 )
    & ! [U_2322,U_2320] :
        ( U_2320 = U_2322
        | ( ~ hBOOL(hAPP_f91506671l_bool(hAPP_P2015860941l_bool(member840932460on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK468(U_2322,U_2320)),sK469(U_2322,U_2320))),U_2320))
          & hBOOL(hAPP_f91506671l_bool(hAPP_P2015860941l_bool(member840932460on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK468(U_2322,U_2320)),sK469(U_2322,U_2320))),U_2322)) )
        | ( ~ hBOOL(hAPP_f91506671l_bool(hAPP_P2015860941l_bool(member840932460on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK466(U_2322,U_2320)),sK467(U_2322,U_2320))),U_2322))
          & hBOOL(hAPP_f91506671l_bool(hAPP_P2015860941l_bool(member840932460on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK466(U_2322,U_2320)),sK467(U_2322,U_2320))),U_2320)) ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK469]),skolemize(U_2313,sK469(U_2322,U_2320))],[f_424_6]) ).

cnf(f_424_8,plain,
    ( hBOOL(hAPP_f91506671l_bool(hAPP_P2015860941l_bool(member840932460on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK468(U_2322,U_2320)),sK469(U_2322,U_2320))),U_2322))
    | hBOOL(hAPP_f91506671l_bool(hAPP_P2015860941l_bool(member840932460on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK466(U_2322,U_2320)),sK467(U_2322,U_2320))),U_2320))
    | U_2320 = U_2322 ),
    inference(clausify,[status(thm)],[f_424_7]) ).

cnf(f_424_9,plain,
    ( ~ hBOOL(hAPP_f91506671l_bool(hAPP_P2015860941l_bool(member840932460on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK468(U_2322,U_2320)),sK469(U_2322,U_2320))),U_2320))
    | hBOOL(hAPP_f91506671l_bool(hAPP_P2015860941l_bool(member840932460on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK466(U_2322,U_2320)),sK467(U_2322,U_2320))),U_2320))
    | U_2320 = U_2322 ),
    inference(clausify,[status(thm)],[f_424_7]) ).

cnf(f_424_10,plain,
    ( hBOOL(hAPP_f91506671l_bool(hAPP_P2015860941l_bool(member840932460on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK468(U_2322,U_2320)),sK469(U_2322,U_2320))),U_2322))
    | ~ hBOOL(hAPP_f91506671l_bool(hAPP_P2015860941l_bool(member840932460on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK466(U_2322,U_2320)),sK467(U_2322,U_2320))),U_2322))
    | U_2320 = U_2322 ),
    inference(clausify,[status(thm)],[f_424_7]) ).

cnf(f_424_11,plain,
    ( ~ hBOOL(hAPP_f91506671l_bool(hAPP_P2015860941l_bool(member840932460on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK468(U_2322,U_2320)),sK469(U_2322,U_2320))),U_2320))
    | ~ hBOOL(hAPP_f91506671l_bool(hAPP_P2015860941l_bool(member840932460on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK466(U_2322,U_2320)),sK467(U_2322,U_2320))),U_2322))
    | U_2320 = U_2322 ),
    inference(clausify,[status(thm)],[f_424_7]) ).

cnf(f_424_12,plain,
    ( hBOOL(hAPP_f91506671l_bool(hAPP_P2015860941l_bool(member840932460on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_2318),U_2316)),U_2323))
    | ~ hBOOL(hAPP_f91506671l_bool(hAPP_P2015860941l_bool(member840932460on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_2318),U_2316)),U_2321))
    | U_2321 != U_2323 ),
    inference(clausify,[status(thm)],[f_424_7]) ).

cnf(f_424_13,plain,
    ( hBOOL(hAPP_f91506671l_bool(hAPP_P2015860941l_bool(member840932460on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_2319),U_2317)),U_2321))
    | ~ hBOOL(hAPP_f91506671l_bool(hAPP_P2015860941l_bool(member840932460on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_2319),U_2317)),U_2323))
    | U_2321 != U_2323 ),
    inference(clausify,[status(thm)],[f_424_7]) ).

fof(f_425_1,plain,
    ! [S_4,R_2] :
      ( ( ! [X_1,Xa] :
            ( ( hBOOL(hAPP_f966411375l_bool(hAPP_P998768845l_bool(member763590124on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,X_1),Xa)),R_2))
              | ~ hBOOL(hAPP_f966411375l_bool(hAPP_P998768845l_bool(member763590124on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,X_1),Xa)),S_4)) )
            & ( hBOOL(hAPP_f966411375l_bool(hAPP_P998768845l_bool(member763590124on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,X_1),Xa)),S_4))
              | ~ hBOOL(hAPP_f966411375l_bool(hAPP_P998768845l_bool(member763590124on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,X_1),Xa)),R_2)) ) )
        | R_2 != S_4 )
      & ( R_2 = S_4
        | ? [X_1,Xa] :
            ( ( ~ hBOOL(hAPP_f966411375l_bool(hAPP_P998768845l_bool(member763590124on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,X_1),Xa)),R_2))
              & hBOOL(hAPP_f966411375l_bool(hAPP_P998768845l_bool(member763590124on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,X_1),Xa)),S_4)) )
            | ( ~ hBOOL(hAPP_f966411375l_bool(hAPP_P998768845l_bool(member763590124on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,X_1),Xa)),S_4))
              & hBOOL(hAPP_f966411375l_bool(hAPP_P998768845l_bool(member763590124on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,X_1),Xa)),R_2)) ) ) ) ),
    inference(fof_nnf,[status(thm)],[fact_283_pred__equals__eq2]) ).

fof(f_425_2,plain,
    ! [U_2329,U_2328] :
      ( ( ! [U_2327,U_2326] :
            ( ( hBOOL(hAPP_f966411375l_bool(hAPP_P998768845l_bool(member763590124on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_2327),U_2326)),U_2328))
              | ~ hBOOL(hAPP_f966411375l_bool(hAPP_P998768845l_bool(member763590124on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_2327),U_2326)),U_2329)) )
            & ( hBOOL(hAPP_f966411375l_bool(hAPP_P998768845l_bool(member763590124on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_2327),U_2326)),U_2329))
              | ~ hBOOL(hAPP_f966411375l_bool(hAPP_P998768845l_bool(member763590124on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_2327),U_2326)),U_2328)) ) )
        | U_2328 != U_2329 )
      & ( U_2328 = U_2329
        | ? [U_2325,U_2324] :
            ( ( ~ hBOOL(hAPP_f966411375l_bool(hAPP_P998768845l_bool(member763590124on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_2325),U_2324)),U_2328))
              & hBOOL(hAPP_f966411375l_bool(hAPP_P998768845l_bool(member763590124on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_2325),U_2324)),U_2329)) )
            | ( ~ hBOOL(hAPP_f966411375l_bool(hAPP_P998768845l_bool(member763590124on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_2325),U_2324)),U_2329))
              & hBOOL(hAPP_f966411375l_bool(hAPP_P998768845l_bool(member763590124on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_2325),U_2324)),U_2328)) ) ) ) ),
    inference(variable_rename,[status(thm)],[f_425_1]) ).

fof(f_425_3,plain,
    ( ! [U_2341,U_2339] :
        ( ( ! [U_2337,U_2335] :
              ( hBOOL(hAPP_f966411375l_bool(hAPP_P998768845l_bool(member763590124on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_2337),U_2335)),U_2339))
              | ~ hBOOL(hAPP_f966411375l_bool(hAPP_P998768845l_bool(member763590124on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_2337),U_2335)),U_2341)) )
          & ! [U_2336,U_2334] :
              ( hBOOL(hAPP_f966411375l_bool(hAPP_P998768845l_bool(member763590124on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_2336),U_2334)),U_2341))
              | ~ hBOOL(hAPP_f966411375l_bool(hAPP_P998768845l_bool(member763590124on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_2336),U_2334)),U_2339)) ) )
        | U_2339 != U_2341 )
    & ! [U_2340,U_2338] :
        ( U_2338 = U_2340
        | ? [U_2333,U_2331] :
            ( ~ hBOOL(hAPP_f966411375l_bool(hAPP_P998768845l_bool(member763590124on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_2333),U_2331)),U_2338))
            & hBOOL(hAPP_f966411375l_bool(hAPP_P998768845l_bool(member763590124on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_2333),U_2331)),U_2340)) )
        | ? [U_2332,U_2330] :
            ( ~ hBOOL(hAPP_f966411375l_bool(hAPP_P998768845l_bool(member763590124on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_2332),U_2330)),U_2340))
            & hBOOL(hAPP_f966411375l_bool(hAPP_P998768845l_bool(member763590124on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_2332),U_2330)),U_2338)) ) ) ),
    inference(miniscope,[status(thm)],[f_425_2]) ).

fof(f_425_4,plain,
    ( ! [U_2341,U_2339] :
        ( ( ! [U_2337,U_2335] :
              ( hBOOL(hAPP_f966411375l_bool(hAPP_P998768845l_bool(member763590124on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_2337),U_2335)),U_2339))
              | ~ hBOOL(hAPP_f966411375l_bool(hAPP_P998768845l_bool(member763590124on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_2337),U_2335)),U_2341)) )
          & ! [U_2336,U_2334] :
              ( hBOOL(hAPP_f966411375l_bool(hAPP_P998768845l_bool(member763590124on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_2336),U_2334)),U_2341))
              | ~ hBOOL(hAPP_f966411375l_bool(hAPP_P998768845l_bool(member763590124on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_2336),U_2334)),U_2339)) ) )
        | U_2339 != U_2341 )
    & ! [U_2340,U_2338] :
        ( U_2338 = U_2340
        | ? [U_2333,U_2331] :
            ( ~ hBOOL(hAPP_f966411375l_bool(hAPP_P998768845l_bool(member763590124on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_2333),U_2331)),U_2338))
            & hBOOL(hAPP_f966411375l_bool(hAPP_P998768845l_bool(member763590124on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_2333),U_2331)),U_2340)) )
        | ? [U_2330] :
            ( ~ hBOOL(hAPP_f966411375l_bool(hAPP_P998768845l_bool(member763590124on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK470(U_2340,U_2338)),U_2330)),U_2340))
            & hBOOL(hAPP_f966411375l_bool(hAPP_P998768845l_bool(member763590124on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK470(U_2340,U_2338)),U_2330)),U_2338)) ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK470]),skolemize(U_2332,sK470(U_2340,U_2338))],[f_425_3]) ).

fof(f_425_5,plain,
    ( ! [U_2341,U_2339] :
        ( ( ! [U_2337,U_2335] :
              ( hBOOL(hAPP_f966411375l_bool(hAPP_P998768845l_bool(member763590124on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_2337),U_2335)),U_2339))
              | ~ hBOOL(hAPP_f966411375l_bool(hAPP_P998768845l_bool(member763590124on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_2337),U_2335)),U_2341)) )
          & ! [U_2336,U_2334] :
              ( hBOOL(hAPP_f966411375l_bool(hAPP_P998768845l_bool(member763590124on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_2336),U_2334)),U_2341))
              | ~ hBOOL(hAPP_f966411375l_bool(hAPP_P998768845l_bool(member763590124on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_2336),U_2334)),U_2339)) ) )
        | U_2339 != U_2341 )
    & ! [U_2340,U_2338] :
        ( U_2338 = U_2340
        | ? [U_2333,U_2331] :
            ( ~ hBOOL(hAPP_f966411375l_bool(hAPP_P998768845l_bool(member763590124on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_2333),U_2331)),U_2338))
            & hBOOL(hAPP_f966411375l_bool(hAPP_P998768845l_bool(member763590124on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_2333),U_2331)),U_2340)) )
        | ( ~ hBOOL(hAPP_f966411375l_bool(hAPP_P998768845l_bool(member763590124on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK470(U_2340,U_2338)),sK471(U_2340,U_2338))),U_2340))
          & hBOOL(hAPP_f966411375l_bool(hAPP_P998768845l_bool(member763590124on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK470(U_2340,U_2338)),sK471(U_2340,U_2338))),U_2338)) ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK471]),skolemize(U_2330,sK471(U_2340,U_2338))],[f_425_4]) ).

fof(f_425_6,plain,
    ( ! [U_2341,U_2339] :
        ( ( ! [U_2337,U_2335] :
              ( hBOOL(hAPP_f966411375l_bool(hAPP_P998768845l_bool(member763590124on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_2337),U_2335)),U_2339))
              | ~ hBOOL(hAPP_f966411375l_bool(hAPP_P998768845l_bool(member763590124on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_2337),U_2335)),U_2341)) )
          & ! [U_2336,U_2334] :
              ( hBOOL(hAPP_f966411375l_bool(hAPP_P998768845l_bool(member763590124on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_2336),U_2334)),U_2341))
              | ~ hBOOL(hAPP_f966411375l_bool(hAPP_P998768845l_bool(member763590124on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_2336),U_2334)),U_2339)) ) )
        | U_2339 != U_2341 )
    & ! [U_2340,U_2338] :
        ( U_2338 = U_2340
        | ? [U_2331] :
            ( ~ hBOOL(hAPP_f966411375l_bool(hAPP_P998768845l_bool(member763590124on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK472(U_2340,U_2338)),U_2331)),U_2338))
            & hBOOL(hAPP_f966411375l_bool(hAPP_P998768845l_bool(member763590124on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK472(U_2340,U_2338)),U_2331)),U_2340)) )
        | ( ~ hBOOL(hAPP_f966411375l_bool(hAPP_P998768845l_bool(member763590124on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK470(U_2340,U_2338)),sK471(U_2340,U_2338))),U_2340))
          & hBOOL(hAPP_f966411375l_bool(hAPP_P998768845l_bool(member763590124on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK470(U_2340,U_2338)),sK471(U_2340,U_2338))),U_2338)) ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK472]),skolemize(U_2333,sK472(U_2340,U_2338))],[f_425_5]) ).

fof(f_425_7,plain,
    ( ! [U_2341,U_2339] :
        ( ( ! [U_2337,U_2335] :
              ( hBOOL(hAPP_f966411375l_bool(hAPP_P998768845l_bool(member763590124on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_2337),U_2335)),U_2339))
              | ~ hBOOL(hAPP_f966411375l_bool(hAPP_P998768845l_bool(member763590124on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_2337),U_2335)),U_2341)) )
          & ! [U_2336,U_2334] :
              ( hBOOL(hAPP_f966411375l_bool(hAPP_P998768845l_bool(member763590124on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_2336),U_2334)),U_2341))
              | ~ hBOOL(hAPP_f966411375l_bool(hAPP_P998768845l_bool(member763590124on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_2336),U_2334)),U_2339)) ) )
        | U_2339 != U_2341 )
    & ! [U_2340,U_2338] :
        ( U_2338 = U_2340
        | ( ~ hBOOL(hAPP_f966411375l_bool(hAPP_P998768845l_bool(member763590124on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK472(U_2340,U_2338)),sK473(U_2340,U_2338))),U_2338))
          & hBOOL(hAPP_f966411375l_bool(hAPP_P998768845l_bool(member763590124on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK472(U_2340,U_2338)),sK473(U_2340,U_2338))),U_2340)) )
        | ( ~ hBOOL(hAPP_f966411375l_bool(hAPP_P998768845l_bool(member763590124on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK470(U_2340,U_2338)),sK471(U_2340,U_2338))),U_2340))
          & hBOOL(hAPP_f966411375l_bool(hAPP_P998768845l_bool(member763590124on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK470(U_2340,U_2338)),sK471(U_2340,U_2338))),U_2338)) ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK473]),skolemize(U_2331,sK473(U_2340,U_2338))],[f_425_6]) ).

cnf(f_425_8,plain,
    ( hBOOL(hAPP_f966411375l_bool(hAPP_P998768845l_bool(member763590124on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK472(U_2340,U_2338)),sK473(U_2340,U_2338))),U_2340))
    | hBOOL(hAPP_f966411375l_bool(hAPP_P998768845l_bool(member763590124on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK470(U_2340,U_2338)),sK471(U_2340,U_2338))),U_2338))
    | U_2338 = U_2340 ),
    inference(clausify,[status(thm)],[f_425_7]) ).

cnf(f_425_9,plain,
    ( ~ hBOOL(hAPP_f966411375l_bool(hAPP_P998768845l_bool(member763590124on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK472(U_2340,U_2338)),sK473(U_2340,U_2338))),U_2338))
    | hBOOL(hAPP_f966411375l_bool(hAPP_P998768845l_bool(member763590124on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK470(U_2340,U_2338)),sK471(U_2340,U_2338))),U_2338))
    | U_2338 = U_2340 ),
    inference(clausify,[status(thm)],[f_425_7]) ).

cnf(f_425_10,plain,
    ( hBOOL(hAPP_f966411375l_bool(hAPP_P998768845l_bool(member763590124on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK472(U_2340,U_2338)),sK473(U_2340,U_2338))),U_2340))
    | ~ hBOOL(hAPP_f966411375l_bool(hAPP_P998768845l_bool(member763590124on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK470(U_2340,U_2338)),sK471(U_2340,U_2338))),U_2340))
    | U_2338 = U_2340 ),
    inference(clausify,[status(thm)],[f_425_7]) ).

cnf(f_425_11,plain,
    ( ~ hBOOL(hAPP_f966411375l_bool(hAPP_P998768845l_bool(member763590124on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK472(U_2340,U_2338)),sK473(U_2340,U_2338))),U_2338))
    | ~ hBOOL(hAPP_f966411375l_bool(hAPP_P998768845l_bool(member763590124on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK470(U_2340,U_2338)),sK471(U_2340,U_2338))),U_2340))
    | U_2338 = U_2340 ),
    inference(clausify,[status(thm)],[f_425_7]) ).

cnf(f_425_12,plain,
    ( hBOOL(hAPP_f966411375l_bool(hAPP_P998768845l_bool(member763590124on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_2336),U_2334)),U_2341))
    | ~ hBOOL(hAPP_f966411375l_bool(hAPP_P998768845l_bool(member763590124on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_2336),U_2334)),U_2339))
    | U_2339 != U_2341 ),
    inference(clausify,[status(thm)],[f_425_7]) ).

cnf(f_425_13,plain,
    ( hBOOL(hAPP_f966411375l_bool(hAPP_P998768845l_bool(member763590124on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_2337),U_2335)),U_2339))
    | ~ hBOOL(hAPP_f966411375l_bool(hAPP_P998768845l_bool(member763590124on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_2337),U_2335)),U_2341))
    | U_2339 != U_2341 ),
    inference(clausify,[status(thm)],[f_425_7]) ).

fof(f_426_1,plain,
    ! [S_4,R_2] :
      ( ( ! [X_1,Xa] :
            ( ( hBOOL(hAPP_f1134950784l_bool(hAPP_P1217996045l_bool(member1542417277on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,X_1),Xa)),R_2))
              | ~ hBOOL(hAPP_f1134950784l_bool(hAPP_P1217996045l_bool(member1542417277on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,X_1),Xa)),S_4)) )
            & ( hBOOL(hAPP_f1134950784l_bool(hAPP_P1217996045l_bool(member1542417277on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,X_1),Xa)),S_4))
              | ~ hBOOL(hAPP_f1134950784l_bool(hAPP_P1217996045l_bool(member1542417277on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,X_1),Xa)),R_2)) ) )
        | R_2 != S_4 )
      & ( R_2 = S_4
        | ? [X_1,Xa] :
            ( ( ~ hBOOL(hAPP_f1134950784l_bool(hAPP_P1217996045l_bool(member1542417277on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,X_1),Xa)),R_2))
              & hBOOL(hAPP_f1134950784l_bool(hAPP_P1217996045l_bool(member1542417277on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,X_1),Xa)),S_4)) )
            | ( ~ hBOOL(hAPP_f1134950784l_bool(hAPP_P1217996045l_bool(member1542417277on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,X_1),Xa)),S_4))
              & hBOOL(hAPP_f1134950784l_bool(hAPP_P1217996045l_bool(member1542417277on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,X_1),Xa)),R_2)) ) ) ) ),
    inference(fof_nnf,[status(thm)],[fact_284_pred__equals__eq2]) ).

fof(f_426_2,plain,
    ! [U_2347,U_2346] :
      ( ( ! [U_2345,U_2344] :
            ( ( hBOOL(hAPP_f1134950784l_bool(hAPP_P1217996045l_bool(member1542417277on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_2345),U_2344)),U_2346))
              | ~ hBOOL(hAPP_f1134950784l_bool(hAPP_P1217996045l_bool(member1542417277on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_2345),U_2344)),U_2347)) )
            & ( hBOOL(hAPP_f1134950784l_bool(hAPP_P1217996045l_bool(member1542417277on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_2345),U_2344)),U_2347))
              | ~ hBOOL(hAPP_f1134950784l_bool(hAPP_P1217996045l_bool(member1542417277on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_2345),U_2344)),U_2346)) ) )
        | U_2346 != U_2347 )
      & ( U_2346 = U_2347
        | ? [U_2343,U_2342] :
            ( ( ~ hBOOL(hAPP_f1134950784l_bool(hAPP_P1217996045l_bool(member1542417277on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_2343),U_2342)),U_2346))
              & hBOOL(hAPP_f1134950784l_bool(hAPP_P1217996045l_bool(member1542417277on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_2343),U_2342)),U_2347)) )
            | ( ~ hBOOL(hAPP_f1134950784l_bool(hAPP_P1217996045l_bool(member1542417277on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_2343),U_2342)),U_2347))
              & hBOOL(hAPP_f1134950784l_bool(hAPP_P1217996045l_bool(member1542417277on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_2343),U_2342)),U_2346)) ) ) ) ),
    inference(variable_rename,[status(thm)],[f_426_1]) ).

fof(f_426_3,plain,
    ( ! [U_2359,U_2357] :
        ( ( ! [U_2355,U_2353] :
              ( hBOOL(hAPP_f1134950784l_bool(hAPP_P1217996045l_bool(member1542417277on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_2355),U_2353)),U_2357))
              | ~ hBOOL(hAPP_f1134950784l_bool(hAPP_P1217996045l_bool(member1542417277on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_2355),U_2353)),U_2359)) )
          & ! [U_2354,U_2352] :
              ( hBOOL(hAPP_f1134950784l_bool(hAPP_P1217996045l_bool(member1542417277on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_2354),U_2352)),U_2359))
              | ~ hBOOL(hAPP_f1134950784l_bool(hAPP_P1217996045l_bool(member1542417277on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_2354),U_2352)),U_2357)) ) )
        | U_2357 != U_2359 )
    & ! [U_2358,U_2356] :
        ( U_2356 = U_2358
        | ? [U_2351,U_2349] :
            ( ~ hBOOL(hAPP_f1134950784l_bool(hAPP_P1217996045l_bool(member1542417277on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_2351),U_2349)),U_2356))
            & hBOOL(hAPP_f1134950784l_bool(hAPP_P1217996045l_bool(member1542417277on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_2351),U_2349)),U_2358)) )
        | ? [U_2350,U_2348] :
            ( ~ hBOOL(hAPP_f1134950784l_bool(hAPP_P1217996045l_bool(member1542417277on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_2350),U_2348)),U_2358))
            & hBOOL(hAPP_f1134950784l_bool(hAPP_P1217996045l_bool(member1542417277on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_2350),U_2348)),U_2356)) ) ) ),
    inference(miniscope,[status(thm)],[f_426_2]) ).

fof(f_426_4,plain,
    ( ! [U_2359,U_2357] :
        ( ( ! [U_2355,U_2353] :
              ( hBOOL(hAPP_f1134950784l_bool(hAPP_P1217996045l_bool(member1542417277on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_2355),U_2353)),U_2357))
              | ~ hBOOL(hAPP_f1134950784l_bool(hAPP_P1217996045l_bool(member1542417277on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_2355),U_2353)),U_2359)) )
          & ! [U_2354,U_2352] :
              ( hBOOL(hAPP_f1134950784l_bool(hAPP_P1217996045l_bool(member1542417277on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_2354),U_2352)),U_2359))
              | ~ hBOOL(hAPP_f1134950784l_bool(hAPP_P1217996045l_bool(member1542417277on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_2354),U_2352)),U_2357)) ) )
        | U_2357 != U_2359 )
    & ! [U_2358,U_2356] :
        ( U_2356 = U_2358
        | ? [U_2351,U_2349] :
            ( ~ hBOOL(hAPP_f1134950784l_bool(hAPP_P1217996045l_bool(member1542417277on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_2351),U_2349)),U_2356))
            & hBOOL(hAPP_f1134950784l_bool(hAPP_P1217996045l_bool(member1542417277on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_2351),U_2349)),U_2358)) )
        | ? [U_2348] :
            ( ~ hBOOL(hAPP_f1134950784l_bool(hAPP_P1217996045l_bool(member1542417277on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,sK474(U_2358,U_2356)),U_2348)),U_2358))
            & hBOOL(hAPP_f1134950784l_bool(hAPP_P1217996045l_bool(member1542417277on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,sK474(U_2358,U_2356)),U_2348)),U_2356)) ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK474]),skolemize(U_2350,sK474(U_2358,U_2356))],[f_426_3]) ).

fof(f_426_5,plain,
    ( ! [U_2359,U_2357] :
        ( ( ! [U_2355,U_2353] :
              ( hBOOL(hAPP_f1134950784l_bool(hAPP_P1217996045l_bool(member1542417277on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_2355),U_2353)),U_2357))
              | ~ hBOOL(hAPP_f1134950784l_bool(hAPP_P1217996045l_bool(member1542417277on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_2355),U_2353)),U_2359)) )
          & ! [U_2354,U_2352] :
              ( hBOOL(hAPP_f1134950784l_bool(hAPP_P1217996045l_bool(member1542417277on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_2354),U_2352)),U_2359))
              | ~ hBOOL(hAPP_f1134950784l_bool(hAPP_P1217996045l_bool(member1542417277on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_2354),U_2352)),U_2357)) ) )
        | U_2357 != U_2359 )
    & ! [U_2358,U_2356] :
        ( U_2356 = U_2358
        | ? [U_2351,U_2349] :
            ( ~ hBOOL(hAPP_f1134950784l_bool(hAPP_P1217996045l_bool(member1542417277on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_2351),U_2349)),U_2356))
            & hBOOL(hAPP_f1134950784l_bool(hAPP_P1217996045l_bool(member1542417277on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_2351),U_2349)),U_2358)) )
        | ( ~ hBOOL(hAPP_f1134950784l_bool(hAPP_P1217996045l_bool(member1542417277on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,sK474(U_2358,U_2356)),sK475(U_2358,U_2356))),U_2358))
          & hBOOL(hAPP_f1134950784l_bool(hAPP_P1217996045l_bool(member1542417277on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,sK474(U_2358,U_2356)),sK475(U_2358,U_2356))),U_2356)) ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK475]),skolemize(U_2348,sK475(U_2358,U_2356))],[f_426_4]) ).

fof(f_426_6,plain,
    ( ! [U_2359,U_2357] :
        ( ( ! [U_2355,U_2353] :
              ( hBOOL(hAPP_f1134950784l_bool(hAPP_P1217996045l_bool(member1542417277on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_2355),U_2353)),U_2357))
              | ~ hBOOL(hAPP_f1134950784l_bool(hAPP_P1217996045l_bool(member1542417277on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_2355),U_2353)),U_2359)) )
          & ! [U_2354,U_2352] :
              ( hBOOL(hAPP_f1134950784l_bool(hAPP_P1217996045l_bool(member1542417277on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_2354),U_2352)),U_2359))
              | ~ hBOOL(hAPP_f1134950784l_bool(hAPP_P1217996045l_bool(member1542417277on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_2354),U_2352)),U_2357)) ) )
        | U_2357 != U_2359 )
    & ! [U_2358,U_2356] :
        ( U_2356 = U_2358
        | ? [U_2349] :
            ( ~ hBOOL(hAPP_f1134950784l_bool(hAPP_P1217996045l_bool(member1542417277on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,sK476(U_2358,U_2356)),U_2349)),U_2356))
            & hBOOL(hAPP_f1134950784l_bool(hAPP_P1217996045l_bool(member1542417277on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,sK476(U_2358,U_2356)),U_2349)),U_2358)) )
        | ( ~ hBOOL(hAPP_f1134950784l_bool(hAPP_P1217996045l_bool(member1542417277on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,sK474(U_2358,U_2356)),sK475(U_2358,U_2356))),U_2358))
          & hBOOL(hAPP_f1134950784l_bool(hAPP_P1217996045l_bool(member1542417277on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,sK474(U_2358,U_2356)),sK475(U_2358,U_2356))),U_2356)) ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK476]),skolemize(U_2351,sK476(U_2358,U_2356))],[f_426_5]) ).

fof(f_426_7,plain,
    ( ! [U_2359,U_2357] :
        ( ( ! [U_2355,U_2353] :
              ( hBOOL(hAPP_f1134950784l_bool(hAPP_P1217996045l_bool(member1542417277on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_2355),U_2353)),U_2357))
              | ~ hBOOL(hAPP_f1134950784l_bool(hAPP_P1217996045l_bool(member1542417277on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_2355),U_2353)),U_2359)) )
          & ! [U_2354,U_2352] :
              ( hBOOL(hAPP_f1134950784l_bool(hAPP_P1217996045l_bool(member1542417277on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_2354),U_2352)),U_2359))
              | ~ hBOOL(hAPP_f1134950784l_bool(hAPP_P1217996045l_bool(member1542417277on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_2354),U_2352)),U_2357)) ) )
        | U_2357 != U_2359 )
    & ! [U_2358,U_2356] :
        ( U_2356 = U_2358
        | ( ~ hBOOL(hAPP_f1134950784l_bool(hAPP_P1217996045l_bool(member1542417277on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,sK476(U_2358,U_2356)),sK477(U_2358,U_2356))),U_2356))
          & hBOOL(hAPP_f1134950784l_bool(hAPP_P1217996045l_bool(member1542417277on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,sK476(U_2358,U_2356)),sK477(U_2358,U_2356))),U_2358)) )
        | ( ~ hBOOL(hAPP_f1134950784l_bool(hAPP_P1217996045l_bool(member1542417277on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,sK474(U_2358,U_2356)),sK475(U_2358,U_2356))),U_2358))
          & hBOOL(hAPP_f1134950784l_bool(hAPP_P1217996045l_bool(member1542417277on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,sK474(U_2358,U_2356)),sK475(U_2358,U_2356))),U_2356)) ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK477]),skolemize(U_2349,sK477(U_2358,U_2356))],[f_426_6]) ).

cnf(f_426_8,plain,
    ( hBOOL(hAPP_f1134950784l_bool(hAPP_P1217996045l_bool(member1542417277on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,sK476(U_2358,U_2356)),sK477(U_2358,U_2356))),U_2358))
    | hBOOL(hAPP_f1134950784l_bool(hAPP_P1217996045l_bool(member1542417277on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,sK474(U_2358,U_2356)),sK475(U_2358,U_2356))),U_2356))
    | U_2356 = U_2358 ),
    inference(clausify,[status(thm)],[f_426_7]) ).

cnf(f_426_9,plain,
    ( ~ hBOOL(hAPP_f1134950784l_bool(hAPP_P1217996045l_bool(member1542417277on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,sK476(U_2358,U_2356)),sK477(U_2358,U_2356))),U_2356))
    | hBOOL(hAPP_f1134950784l_bool(hAPP_P1217996045l_bool(member1542417277on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,sK474(U_2358,U_2356)),sK475(U_2358,U_2356))),U_2356))
    | U_2356 = U_2358 ),
    inference(clausify,[status(thm)],[f_426_7]) ).

cnf(f_426_10,plain,
    ( hBOOL(hAPP_f1134950784l_bool(hAPP_P1217996045l_bool(member1542417277on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,sK476(U_2358,U_2356)),sK477(U_2358,U_2356))),U_2358))
    | ~ hBOOL(hAPP_f1134950784l_bool(hAPP_P1217996045l_bool(member1542417277on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,sK474(U_2358,U_2356)),sK475(U_2358,U_2356))),U_2358))
    | U_2356 = U_2358 ),
    inference(clausify,[status(thm)],[f_426_7]) ).

cnf(f_426_11,plain,
    ( ~ hBOOL(hAPP_f1134950784l_bool(hAPP_P1217996045l_bool(member1542417277on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,sK476(U_2358,U_2356)),sK477(U_2358,U_2356))),U_2356))
    | ~ hBOOL(hAPP_f1134950784l_bool(hAPP_P1217996045l_bool(member1542417277on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,sK474(U_2358,U_2356)),sK475(U_2358,U_2356))),U_2358))
    | U_2356 = U_2358 ),
    inference(clausify,[status(thm)],[f_426_7]) ).

cnf(f_426_12,plain,
    ( hBOOL(hAPP_f1134950784l_bool(hAPP_P1217996045l_bool(member1542417277on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_2354),U_2352)),U_2359))
    | ~ hBOOL(hAPP_f1134950784l_bool(hAPP_P1217996045l_bool(member1542417277on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_2354),U_2352)),U_2357))
    | U_2357 != U_2359 ),
    inference(clausify,[status(thm)],[f_426_7]) ).

cnf(f_426_13,plain,
    ( hBOOL(hAPP_f1134950784l_bool(hAPP_P1217996045l_bool(member1542417277on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_2355),U_2353)),U_2357))
    | ~ hBOOL(hAPP_f1134950784l_bool(hAPP_P1217996045l_bool(member1542417277on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_2355),U_2353)),U_2359))
    | U_2357 != U_2359 ),
    inference(clausify,[status(thm)],[f_426_7]) ).

fof(f_427_1,plain,
    ! [S_4,R_2] :
      ( ( ! [X_1,Xa] :
            ( ( ( hBOOL(hAPP_f742333458l_bool(hAPP_P1653675595l_bool(member1417904245al_val,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,X_1),Xa)),R_2))
                | ~ hBOOL(hAPP_f742333458l_bool(hAPP_P1653675595l_bool(member1417904245al_val,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,X_1),Xa)),S_4)) )
              & ( hBOOL(hAPP_f742333458l_bool(hAPP_P1653675595l_bool(member1417904245al_val,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,X_1),Xa)),S_4))
                | ~ hBOOL(hAPP_f742333458l_bool(hAPP_P1653675595l_bool(member1417904245al_val,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,X_1),Xa)),R_2)) ) )
            | ~ is_bop(X_1) )
        | R_2 != S_4 )
      & ( R_2 = S_4
        | ? [X_1,Xa] :
            ( ( ( ~ hBOOL(hAPP_f742333458l_bool(hAPP_P1653675595l_bool(member1417904245al_val,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,X_1),Xa)),R_2))
                & hBOOL(hAPP_f742333458l_bool(hAPP_P1653675595l_bool(member1417904245al_val,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,X_1),Xa)),S_4)) )
              | ( ~ hBOOL(hAPP_f742333458l_bool(hAPP_P1653675595l_bool(member1417904245al_val,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,X_1),Xa)),S_4))
                & hBOOL(hAPP_f742333458l_bool(hAPP_P1653675595l_bool(member1417904245al_val,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,X_1),Xa)),R_2)) ) )
            & is_bop(X_1) ) ) ),
    inference(fof_nnf,[status(thm)],[fact_285_pred__equals__eq2]) ).

fof(f_427_2,plain,
    ! [U_2365,U_2364] :
      ( ( ! [U_2363,U_2362] :
            ( ( ( hBOOL(hAPP_f742333458l_bool(hAPP_P1653675595l_bool(member1417904245al_val,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_2363),U_2362)),U_2364))
                | ~ hBOOL(hAPP_f742333458l_bool(hAPP_P1653675595l_bool(member1417904245al_val,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_2363),U_2362)),U_2365)) )
              & ( hBOOL(hAPP_f742333458l_bool(hAPP_P1653675595l_bool(member1417904245al_val,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_2363),U_2362)),U_2365))
                | ~ hBOOL(hAPP_f742333458l_bool(hAPP_P1653675595l_bool(member1417904245al_val,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_2363),U_2362)),U_2364)) ) )
            | ~ is_bop(U_2363) )
        | U_2364 != U_2365 )
      & ( U_2364 = U_2365
        | ? [U_2361,U_2360] :
            ( ( ( ~ hBOOL(hAPP_f742333458l_bool(hAPP_P1653675595l_bool(member1417904245al_val,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_2361),U_2360)),U_2364))
                & hBOOL(hAPP_f742333458l_bool(hAPP_P1653675595l_bool(member1417904245al_val,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_2361),U_2360)),U_2365)) )
              | ( ~ hBOOL(hAPP_f742333458l_bool(hAPP_P1653675595l_bool(member1417904245al_val,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_2361),U_2360)),U_2365))
                & hBOOL(hAPP_f742333458l_bool(hAPP_P1653675595l_bool(member1417904245al_val,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_2361),U_2360)),U_2364)) ) )
            & is_bop(U_2361) ) ) ),
    inference(variable_rename,[status(thm)],[f_427_1]) ).

fof(f_427_3,plain,
    ( ! [U_2373,U_2371] :
        ( ! [U_2363] :
            ( ( ! [U_2369] :
                  ( hBOOL(hAPP_f742333458l_bool(hAPP_P1653675595l_bool(member1417904245al_val,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_2363),U_2369)),U_2371))
                  | ~ hBOOL(hAPP_f742333458l_bool(hAPP_P1653675595l_bool(member1417904245al_val,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_2363),U_2369)),U_2373)) )
              & ! [U_2368] :
                  ( hBOOL(hAPP_f742333458l_bool(hAPP_P1653675595l_bool(member1417904245al_val,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_2363),U_2368)),U_2373))
                  | ~ hBOOL(hAPP_f742333458l_bool(hAPP_P1653675595l_bool(member1417904245al_val,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_2363),U_2368)),U_2371)) ) )
            | ~ is_bop(U_2363) )
        | U_2371 != U_2373 )
    & ! [U_2372,U_2370] :
        ( U_2370 = U_2372
        | ? [U_2361] :
            ( ( ? [U_2367] :
                  ( ~ hBOOL(hAPP_f742333458l_bool(hAPP_P1653675595l_bool(member1417904245al_val,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_2361),U_2367)),U_2370))
                  & hBOOL(hAPP_f742333458l_bool(hAPP_P1653675595l_bool(member1417904245al_val,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_2361),U_2367)),U_2372)) )
              | ? [U_2366] :
                  ( ~ hBOOL(hAPP_f742333458l_bool(hAPP_P1653675595l_bool(member1417904245al_val,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_2361),U_2366)),U_2372))
                  & hBOOL(hAPP_f742333458l_bool(hAPP_P1653675595l_bool(member1417904245al_val,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_2361),U_2366)),U_2370)) ) )
            & is_bop(U_2361) ) ) ),
    inference(miniscope,[status(thm)],[f_427_2]) ).

fof(f_427_4,plain,
    ( ! [U_2373,U_2371] :
        ( ! [U_2363] :
            ( ( ! [U_2369] :
                  ( hBOOL(hAPP_f742333458l_bool(hAPP_P1653675595l_bool(member1417904245al_val,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_2363),U_2369)),U_2371))
                  | ~ hBOOL(hAPP_f742333458l_bool(hAPP_P1653675595l_bool(member1417904245al_val,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_2363),U_2369)),U_2373)) )
              & ! [U_2368] :
                  ( hBOOL(hAPP_f742333458l_bool(hAPP_P1653675595l_bool(member1417904245al_val,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_2363),U_2368)),U_2373))
                  | ~ hBOOL(hAPP_f742333458l_bool(hAPP_P1653675595l_bool(member1417904245al_val,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_2363),U_2368)),U_2371)) ) )
            | ~ is_bop(U_2363) )
        | U_2371 != U_2373 )
    & ! [U_2372,U_2370] :
        ( U_2370 = U_2372
        | ( ( ? [U_2367] :
                ( ~ hBOOL(hAPP_f742333458l_bool(hAPP_P1653675595l_bool(member1417904245al_val,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,sK478(U_2372,U_2370)),U_2367)),U_2370))
                & hBOOL(hAPP_f742333458l_bool(hAPP_P1653675595l_bool(member1417904245al_val,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,sK478(U_2372,U_2370)),U_2367)),U_2372)) )
            | ? [U_2366] :
                ( ~ hBOOL(hAPP_f742333458l_bool(hAPP_P1653675595l_bool(member1417904245al_val,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,sK478(U_2372,U_2370)),U_2366)),U_2372))
                & hBOOL(hAPP_f742333458l_bool(hAPP_P1653675595l_bool(member1417904245al_val,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,sK478(U_2372,U_2370)),U_2366)),U_2370)) ) )
          & is_bop(sK478(U_2372,U_2370)) ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK478]),skolemize(U_2361,sK478(U_2372,U_2370))],[f_427_3]) ).

fof(f_427_5,plain,
    ( ! [U_2373,U_2371] :
        ( ! [U_2363] :
            ( ( ! [U_2369] :
                  ( hBOOL(hAPP_f742333458l_bool(hAPP_P1653675595l_bool(member1417904245al_val,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_2363),U_2369)),U_2371))
                  | ~ hBOOL(hAPP_f742333458l_bool(hAPP_P1653675595l_bool(member1417904245al_val,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_2363),U_2369)),U_2373)) )
              & ! [U_2368] :
                  ( hBOOL(hAPP_f742333458l_bool(hAPP_P1653675595l_bool(member1417904245al_val,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_2363),U_2368)),U_2373))
                  | ~ hBOOL(hAPP_f742333458l_bool(hAPP_P1653675595l_bool(member1417904245al_val,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_2363),U_2368)),U_2371)) ) )
            | ~ is_bop(U_2363) )
        | U_2371 != U_2373 )
    & ! [U_2372,U_2370] :
        ( U_2370 = U_2372
        | ( ( ? [U_2367] :
                ( ~ hBOOL(hAPP_f742333458l_bool(hAPP_P1653675595l_bool(member1417904245al_val,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,sK478(U_2372,U_2370)),U_2367)),U_2370))
                & hBOOL(hAPP_f742333458l_bool(hAPP_P1653675595l_bool(member1417904245al_val,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,sK478(U_2372,U_2370)),U_2367)),U_2372)) )
            | ( ~ hBOOL(hAPP_f742333458l_bool(hAPP_P1653675595l_bool(member1417904245al_val,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,sK478(U_2372,U_2370)),sK479(U_2372,U_2370))),U_2372))
              & hBOOL(hAPP_f742333458l_bool(hAPP_P1653675595l_bool(member1417904245al_val,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,sK478(U_2372,U_2370)),sK479(U_2372,U_2370))),U_2370)) ) )
          & is_bop(sK478(U_2372,U_2370)) ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK479]),skolemize(U_2366,sK479(U_2372,U_2370))],[f_427_4]) ).

fof(f_427_6,plain,
    ( ! [U_2373,U_2371] :
        ( ! [U_2363] :
            ( ( ! [U_2369] :
                  ( hBOOL(hAPP_f742333458l_bool(hAPP_P1653675595l_bool(member1417904245al_val,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_2363),U_2369)),U_2371))
                  | ~ hBOOL(hAPP_f742333458l_bool(hAPP_P1653675595l_bool(member1417904245al_val,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_2363),U_2369)),U_2373)) )
              & ! [U_2368] :
                  ( hBOOL(hAPP_f742333458l_bool(hAPP_P1653675595l_bool(member1417904245al_val,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_2363),U_2368)),U_2373))
                  | ~ hBOOL(hAPP_f742333458l_bool(hAPP_P1653675595l_bool(member1417904245al_val,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_2363),U_2368)),U_2371)) ) )
            | ~ is_bop(U_2363) )
        | U_2371 != U_2373 )
    & ! [U_2372,U_2370] :
        ( U_2370 = U_2372
        | ( ( ( ~ hBOOL(hAPP_f742333458l_bool(hAPP_P1653675595l_bool(member1417904245al_val,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,sK478(U_2372,U_2370)),sK480(U_2372,U_2370))),U_2370))
              & hBOOL(hAPP_f742333458l_bool(hAPP_P1653675595l_bool(member1417904245al_val,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,sK478(U_2372,U_2370)),sK480(U_2372,U_2370))),U_2372)) )
            | ( ~ hBOOL(hAPP_f742333458l_bool(hAPP_P1653675595l_bool(member1417904245al_val,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,sK478(U_2372,U_2370)),sK479(U_2372,U_2370))),U_2372))
              & hBOOL(hAPP_f742333458l_bool(hAPP_P1653675595l_bool(member1417904245al_val,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,sK478(U_2372,U_2370)),sK479(U_2372,U_2370))),U_2370)) ) )
          & is_bop(sK478(U_2372,U_2370)) ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK480]),skolemize(U_2367,sK480(U_2372,U_2370))],[f_427_5]) ).

cnf(f_427_7,plain,
    ( is_bop(sK478(U_2372,U_2370))
    | U_2370 = U_2372 ),
    inference(clausify,[status(thm)],[f_427_6]) ).

cnf(f_427_8,plain,
    ( hBOOL(hAPP_f742333458l_bool(hAPP_P1653675595l_bool(member1417904245al_val,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,sK478(U_2372,U_2370)),sK480(U_2372,U_2370))),U_2372))
    | hBOOL(hAPP_f742333458l_bool(hAPP_P1653675595l_bool(member1417904245al_val,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,sK478(U_2372,U_2370)),sK479(U_2372,U_2370))),U_2370))
    | U_2370 = U_2372 ),
    inference(clausify,[status(thm)],[f_427_6]) ).

cnf(f_427_9,plain,
    ( ~ hBOOL(hAPP_f742333458l_bool(hAPP_P1653675595l_bool(member1417904245al_val,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,sK478(U_2372,U_2370)),sK480(U_2372,U_2370))),U_2370))
    | hBOOL(hAPP_f742333458l_bool(hAPP_P1653675595l_bool(member1417904245al_val,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,sK478(U_2372,U_2370)),sK479(U_2372,U_2370))),U_2370))
    | U_2370 = U_2372 ),
    inference(clausify,[status(thm)],[f_427_6]) ).

cnf(f_427_10,plain,
    ( hBOOL(hAPP_f742333458l_bool(hAPP_P1653675595l_bool(member1417904245al_val,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,sK478(U_2372,U_2370)),sK480(U_2372,U_2370))),U_2372))
    | ~ hBOOL(hAPP_f742333458l_bool(hAPP_P1653675595l_bool(member1417904245al_val,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,sK478(U_2372,U_2370)),sK479(U_2372,U_2370))),U_2372))
    | U_2370 = U_2372 ),
    inference(clausify,[status(thm)],[f_427_6]) ).

cnf(f_427_11,plain,
    ( ~ hBOOL(hAPP_f742333458l_bool(hAPP_P1653675595l_bool(member1417904245al_val,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,sK478(U_2372,U_2370)),sK480(U_2372,U_2370))),U_2370))
    | ~ hBOOL(hAPP_f742333458l_bool(hAPP_P1653675595l_bool(member1417904245al_val,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,sK478(U_2372,U_2370)),sK479(U_2372,U_2370))),U_2372))
    | U_2370 = U_2372 ),
    inference(clausify,[status(thm)],[f_427_6]) ).

cnf(f_427_12,plain,
    ( hBOOL(hAPP_f742333458l_bool(hAPP_P1653675595l_bool(member1417904245al_val,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_2363),U_2368)),U_2373))
    | ~ hBOOL(hAPP_f742333458l_bool(hAPP_P1653675595l_bool(member1417904245al_val,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_2363),U_2368)),U_2371))
    | ~ is_bop(U_2363)
    | U_2371 != U_2373 ),
    inference(clausify,[status(thm)],[f_427_6]) ).

cnf(f_427_13,plain,
    ( hBOOL(hAPP_f742333458l_bool(hAPP_P1653675595l_bool(member1417904245al_val,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_2363),U_2369)),U_2371))
    | ~ hBOOL(hAPP_f742333458l_bool(hAPP_P1653675595l_bool(member1417904245al_val,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_2363),U_2369)),U_2373))
    | ~ is_bop(U_2363)
    | U_2371 != U_2373 ),
    inference(clausify,[status(thm)],[f_427_6]) ).

fof(f_428_1,plain,
    ! [S_4,R_2] :
      ( ( ! [X_1,Xa] :
            ( ( hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,X_1),Xa)),R_2))
              | ~ hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,X_1),Xa)),S_4)) )
            & ( hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,X_1),Xa)),S_4))
              | ~ hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,X_1),Xa)),R_2)) ) )
        | R_2 != S_4 )
      & ( R_2 = S_4
        | ? [X_1,Xa] :
            ( ( ~ hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,X_1),Xa)),R_2))
              & hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,X_1),Xa)),S_4)) )
            | ( ~ hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,X_1),Xa)),S_4))
              & hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,X_1),Xa)),R_2)) ) ) ) ),
    inference(fof_nnf,[status(thm)],[fact_286_pred__equals__eq2]) ).

fof(f_428_2,plain,
    ! [U_2379,U_2378] :
      ( ( ! [U_2377,U_2376] :
            ( ( hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_2377),U_2376)),U_2378))
              | ~ hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_2377),U_2376)),U_2379)) )
            & ( hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_2377),U_2376)),U_2379))
              | ~ hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_2377),U_2376)),U_2378)) ) )
        | U_2378 != U_2379 )
      & ( U_2378 = U_2379
        | ? [U_2375,U_2374] :
            ( ( ~ hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_2375),U_2374)),U_2378))
              & hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_2375),U_2374)),U_2379)) )
            | ( ~ hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_2375),U_2374)),U_2379))
              & hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_2375),U_2374)),U_2378)) ) ) ) ),
    inference(variable_rename,[status(thm)],[f_428_1]) ).

fof(f_428_3,plain,
    ( ! [U_2391,U_2389] :
        ( ( ! [U_2387,U_2385] :
              ( hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_2387),U_2385)),U_2389))
              | ~ hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_2387),U_2385)),U_2391)) )
          & ! [U_2386,U_2384] :
              ( hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_2386),U_2384)),U_2391))
              | ~ hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_2386),U_2384)),U_2389)) ) )
        | U_2389 != U_2391 )
    & ! [U_2390,U_2388] :
        ( U_2388 = U_2390
        | ? [U_2383,U_2381] :
            ( ~ hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_2383),U_2381)),U_2388))
            & hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_2383),U_2381)),U_2390)) )
        | ? [U_2382,U_2380] :
            ( ~ hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_2382),U_2380)),U_2390))
            & hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_2382),U_2380)),U_2388)) ) ) ),
    inference(miniscope,[status(thm)],[f_428_2]) ).

fof(f_428_4,plain,
    ( ! [U_2391,U_2389] :
        ( ( ! [U_2387,U_2385] :
              ( hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_2387),U_2385)),U_2389))
              | ~ hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_2387),U_2385)),U_2391)) )
          & ! [U_2386,U_2384] :
              ( hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_2386),U_2384)),U_2391))
              | ~ hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_2386),U_2384)),U_2389)) ) )
        | U_2389 != U_2391 )
    & ! [U_2390,U_2388] :
        ( U_2388 = U_2390
        | ? [U_2383,U_2381] :
            ( ~ hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_2383),U_2381)),U_2388))
            & hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_2383),U_2381)),U_2390)) )
        | ? [U_2380] :
            ( ~ hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,sK481(U_2390,U_2388)),U_2380)),U_2390))
            & hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,sK481(U_2390,U_2388)),U_2380)),U_2388)) ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK481]),skolemize(U_2382,sK481(U_2390,U_2388))],[f_428_3]) ).

fof(f_428_5,plain,
    ( ! [U_2391,U_2389] :
        ( ( ! [U_2387,U_2385] :
              ( hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_2387),U_2385)),U_2389))
              | ~ hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_2387),U_2385)),U_2391)) )
          & ! [U_2386,U_2384] :
              ( hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_2386),U_2384)),U_2391))
              | ~ hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_2386),U_2384)),U_2389)) ) )
        | U_2389 != U_2391 )
    & ! [U_2390,U_2388] :
        ( U_2388 = U_2390
        | ? [U_2383,U_2381] :
            ( ~ hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_2383),U_2381)),U_2388))
            & hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_2383),U_2381)),U_2390)) )
        | ( ~ hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,sK481(U_2390,U_2388)),sK482(U_2390,U_2388))),U_2390))
          & hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,sK481(U_2390,U_2388)),sK482(U_2390,U_2388))),U_2388)) ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK482]),skolemize(U_2380,sK482(U_2390,U_2388))],[f_428_4]) ).

fof(f_428_6,plain,
    ( ! [U_2391,U_2389] :
        ( ( ! [U_2387,U_2385] :
              ( hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_2387),U_2385)),U_2389))
              | ~ hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_2387),U_2385)),U_2391)) )
          & ! [U_2386,U_2384] :
              ( hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_2386),U_2384)),U_2391))
              | ~ hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_2386),U_2384)),U_2389)) ) )
        | U_2389 != U_2391 )
    & ! [U_2390,U_2388] :
        ( U_2388 = U_2390
        | ? [U_2381] :
            ( ~ hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,sK483(U_2390,U_2388)),U_2381)),U_2388))
            & hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,sK483(U_2390,U_2388)),U_2381)),U_2390)) )
        | ( ~ hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,sK481(U_2390,U_2388)),sK482(U_2390,U_2388))),U_2390))
          & hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,sK481(U_2390,U_2388)),sK482(U_2390,U_2388))),U_2388)) ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK483]),skolemize(U_2383,sK483(U_2390,U_2388))],[f_428_5]) ).

fof(f_428_7,plain,
    ( ! [U_2391,U_2389] :
        ( ( ! [U_2387,U_2385] :
              ( hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_2387),U_2385)),U_2389))
              | ~ hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_2387),U_2385)),U_2391)) )
          & ! [U_2386,U_2384] :
              ( hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_2386),U_2384)),U_2391))
              | ~ hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_2386),U_2384)),U_2389)) ) )
        | U_2389 != U_2391 )
    & ! [U_2390,U_2388] :
        ( U_2388 = U_2390
        | ( ~ hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,sK483(U_2390,U_2388)),sK484(U_2390,U_2388))),U_2388))
          & hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,sK483(U_2390,U_2388)),sK484(U_2390,U_2388))),U_2390)) )
        | ( ~ hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,sK481(U_2390,U_2388)),sK482(U_2390,U_2388))),U_2390))
          & hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,sK481(U_2390,U_2388)),sK482(U_2390,U_2388))),U_2388)) ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK484]),skolemize(U_2381,sK484(U_2390,U_2388))],[f_428_6]) ).

cnf(f_428_8,plain,
    ( hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,sK483(U_2390,U_2388)),sK484(U_2390,U_2388))),U_2390))
    | hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,sK481(U_2390,U_2388)),sK482(U_2390,U_2388))),U_2388))
    | U_2388 = U_2390 ),
    inference(clausify,[status(thm)],[f_428_7]) ).

cnf(f_428_9,plain,
    ( ~ hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,sK483(U_2390,U_2388)),sK484(U_2390,U_2388))),U_2388))
    | hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,sK481(U_2390,U_2388)),sK482(U_2390,U_2388))),U_2388))
    | U_2388 = U_2390 ),
    inference(clausify,[status(thm)],[f_428_7]) ).

cnf(f_428_10,plain,
    ( hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,sK483(U_2390,U_2388)),sK484(U_2390,U_2388))),U_2390))
    | ~ hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,sK481(U_2390,U_2388)),sK482(U_2390,U_2388))),U_2390))
    | U_2388 = U_2390 ),
    inference(clausify,[status(thm)],[f_428_7]) ).

cnf(f_428_11,plain,
    ( ~ hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,sK483(U_2390,U_2388)),sK484(U_2390,U_2388))),U_2388))
    | ~ hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,sK481(U_2390,U_2388)),sK482(U_2390,U_2388))),U_2390))
    | U_2388 = U_2390 ),
    inference(clausify,[status(thm)],[f_428_7]) ).

cnf(f_428_12,plain,
    ( hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_2386),U_2384)),U_2391))
    | ~ hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_2386),U_2384)),U_2389))
    | U_2389 != U_2391 ),
    inference(clausify,[status(thm)],[f_428_7]) ).

cnf(f_428_13,plain,
    ( hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_2387),U_2385)),U_2389))
    | ~ hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_2387),U_2385)),U_2391))
    | U_2389 != U_2391 ),
    inference(clausify,[status(thm)],[f_428_7]) ).

fof(f_429_1,plain,
    ! [S_4,R_2] :
      ( ( ! [X_1,Xa] :
            ( ( hBOOL(hAPP_f837795298l_bool(hAPP_P483670507l_bool(member1972431429on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,X_1),Xa)),R_2))
              | ~ hBOOL(hAPP_f837795298l_bool(hAPP_P483670507l_bool(member1972431429on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,X_1),Xa)),S_4)) )
            & ( hBOOL(hAPP_f837795298l_bool(hAPP_P483670507l_bool(member1972431429on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,X_1),Xa)),S_4))
              | ~ hBOOL(hAPP_f837795298l_bool(hAPP_P483670507l_bool(member1972431429on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,X_1),Xa)),R_2)) ) )
        | R_2 != S_4 )
      & ( R_2 = S_4
        | ? [X_1,Xa] :
            ( ( ~ hBOOL(hAPP_f837795298l_bool(hAPP_P483670507l_bool(member1972431429on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,X_1),Xa)),R_2))
              & hBOOL(hAPP_f837795298l_bool(hAPP_P483670507l_bool(member1972431429on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,X_1),Xa)),S_4)) )
            | ( ~ hBOOL(hAPP_f837795298l_bool(hAPP_P483670507l_bool(member1972431429on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,X_1),Xa)),S_4))
              & hBOOL(hAPP_f837795298l_bool(hAPP_P483670507l_bool(member1972431429on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,X_1),Xa)),R_2)) ) ) ) ),
    inference(fof_nnf,[status(thm)],[fact_287_pred__equals__eq2]) ).

fof(f_429_2,plain,
    ! [U_2397,U_2396] :
      ( ( ! [U_2395,U_2394] :
            ( ( hBOOL(hAPP_f837795298l_bool(hAPP_P483670507l_bool(member1972431429on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_2395),U_2394)),U_2396))
              | ~ hBOOL(hAPP_f837795298l_bool(hAPP_P483670507l_bool(member1972431429on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_2395),U_2394)),U_2397)) )
            & ( hBOOL(hAPP_f837795298l_bool(hAPP_P483670507l_bool(member1972431429on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_2395),U_2394)),U_2397))
              | ~ hBOOL(hAPP_f837795298l_bool(hAPP_P483670507l_bool(member1972431429on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_2395),U_2394)),U_2396)) ) )
        | U_2396 != U_2397 )
      & ( U_2396 = U_2397
        | ? [U_2393,U_2392] :
            ( ( ~ hBOOL(hAPP_f837795298l_bool(hAPP_P483670507l_bool(member1972431429on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_2393),U_2392)),U_2396))
              & hBOOL(hAPP_f837795298l_bool(hAPP_P483670507l_bool(member1972431429on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_2393),U_2392)),U_2397)) )
            | ( ~ hBOOL(hAPP_f837795298l_bool(hAPP_P483670507l_bool(member1972431429on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_2393),U_2392)),U_2397))
              & hBOOL(hAPP_f837795298l_bool(hAPP_P483670507l_bool(member1972431429on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_2393),U_2392)),U_2396)) ) ) ) ),
    inference(variable_rename,[status(thm)],[f_429_1]) ).

fof(f_429_3,plain,
    ( ! [U_2409,U_2407] :
        ( ( ! [U_2405,U_2403] :
              ( hBOOL(hAPP_f837795298l_bool(hAPP_P483670507l_bool(member1972431429on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_2405),U_2403)),U_2407))
              | ~ hBOOL(hAPP_f837795298l_bool(hAPP_P483670507l_bool(member1972431429on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_2405),U_2403)),U_2409)) )
          & ! [U_2404,U_2402] :
              ( hBOOL(hAPP_f837795298l_bool(hAPP_P483670507l_bool(member1972431429on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_2404),U_2402)),U_2409))
              | ~ hBOOL(hAPP_f837795298l_bool(hAPP_P483670507l_bool(member1972431429on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_2404),U_2402)),U_2407)) ) )
        | U_2407 != U_2409 )
    & ! [U_2408,U_2406] :
        ( U_2406 = U_2408
        | ? [U_2401,U_2399] :
            ( ~ hBOOL(hAPP_f837795298l_bool(hAPP_P483670507l_bool(member1972431429on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_2401),U_2399)),U_2406))
            & hBOOL(hAPP_f837795298l_bool(hAPP_P483670507l_bool(member1972431429on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_2401),U_2399)),U_2408)) )
        | ? [U_2400,U_2398] :
            ( ~ hBOOL(hAPP_f837795298l_bool(hAPP_P483670507l_bool(member1972431429on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_2400),U_2398)),U_2408))
            & hBOOL(hAPP_f837795298l_bool(hAPP_P483670507l_bool(member1972431429on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_2400),U_2398)),U_2406)) ) ) ),
    inference(miniscope,[status(thm)],[f_429_2]) ).

fof(f_429_4,plain,
    ( ! [U_2409,U_2407] :
        ( ( ! [U_2405,U_2403] :
              ( hBOOL(hAPP_f837795298l_bool(hAPP_P483670507l_bool(member1972431429on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_2405),U_2403)),U_2407))
              | ~ hBOOL(hAPP_f837795298l_bool(hAPP_P483670507l_bool(member1972431429on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_2405),U_2403)),U_2409)) )
          & ! [U_2404,U_2402] :
              ( hBOOL(hAPP_f837795298l_bool(hAPP_P483670507l_bool(member1972431429on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_2404),U_2402)),U_2409))
              | ~ hBOOL(hAPP_f837795298l_bool(hAPP_P483670507l_bool(member1972431429on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_2404),U_2402)),U_2407)) ) )
        | U_2407 != U_2409 )
    & ! [U_2408,U_2406] :
        ( U_2406 = U_2408
        | ? [U_2401,U_2399] :
            ( ~ hBOOL(hAPP_f837795298l_bool(hAPP_P483670507l_bool(member1972431429on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_2401),U_2399)),U_2406))
            & hBOOL(hAPP_f837795298l_bool(hAPP_P483670507l_bool(member1972431429on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_2401),U_2399)),U_2408)) )
        | ? [U_2398] :
            ( ~ hBOOL(hAPP_f837795298l_bool(hAPP_P483670507l_bool(member1972431429on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,sK485(U_2408,U_2406)),U_2398)),U_2408))
            & hBOOL(hAPP_f837795298l_bool(hAPP_P483670507l_bool(member1972431429on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,sK485(U_2408,U_2406)),U_2398)),U_2406)) ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK485]),skolemize(U_2400,sK485(U_2408,U_2406))],[f_429_3]) ).

fof(f_429_5,plain,
    ( ! [U_2409,U_2407] :
        ( ( ! [U_2405,U_2403] :
              ( hBOOL(hAPP_f837795298l_bool(hAPP_P483670507l_bool(member1972431429on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_2405),U_2403)),U_2407))
              | ~ hBOOL(hAPP_f837795298l_bool(hAPP_P483670507l_bool(member1972431429on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_2405),U_2403)),U_2409)) )
          & ! [U_2404,U_2402] :
              ( hBOOL(hAPP_f837795298l_bool(hAPP_P483670507l_bool(member1972431429on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_2404),U_2402)),U_2409))
              | ~ hBOOL(hAPP_f837795298l_bool(hAPP_P483670507l_bool(member1972431429on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_2404),U_2402)),U_2407)) ) )
        | U_2407 != U_2409 )
    & ! [U_2408,U_2406] :
        ( U_2406 = U_2408
        | ? [U_2401,U_2399] :
            ( ~ hBOOL(hAPP_f837795298l_bool(hAPP_P483670507l_bool(member1972431429on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_2401),U_2399)),U_2406))
            & hBOOL(hAPP_f837795298l_bool(hAPP_P483670507l_bool(member1972431429on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_2401),U_2399)),U_2408)) )
        | ( ~ hBOOL(hAPP_f837795298l_bool(hAPP_P483670507l_bool(member1972431429on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,sK485(U_2408,U_2406)),sK486(U_2408,U_2406))),U_2408))
          & hBOOL(hAPP_f837795298l_bool(hAPP_P483670507l_bool(member1972431429on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,sK485(U_2408,U_2406)),sK486(U_2408,U_2406))),U_2406)) ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK486]),skolemize(U_2398,sK486(U_2408,U_2406))],[f_429_4]) ).

fof(f_429_6,plain,
    ( ! [U_2409,U_2407] :
        ( ( ! [U_2405,U_2403] :
              ( hBOOL(hAPP_f837795298l_bool(hAPP_P483670507l_bool(member1972431429on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_2405),U_2403)),U_2407))
              | ~ hBOOL(hAPP_f837795298l_bool(hAPP_P483670507l_bool(member1972431429on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_2405),U_2403)),U_2409)) )
          & ! [U_2404,U_2402] :
              ( hBOOL(hAPP_f837795298l_bool(hAPP_P483670507l_bool(member1972431429on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_2404),U_2402)),U_2409))
              | ~ hBOOL(hAPP_f837795298l_bool(hAPP_P483670507l_bool(member1972431429on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_2404),U_2402)),U_2407)) ) )
        | U_2407 != U_2409 )
    & ! [U_2408,U_2406] :
        ( U_2406 = U_2408
        | ? [U_2399] :
            ( ~ hBOOL(hAPP_f837795298l_bool(hAPP_P483670507l_bool(member1972431429on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,sK487(U_2408,U_2406)),U_2399)),U_2406))
            & hBOOL(hAPP_f837795298l_bool(hAPP_P483670507l_bool(member1972431429on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,sK487(U_2408,U_2406)),U_2399)),U_2408)) )
        | ( ~ hBOOL(hAPP_f837795298l_bool(hAPP_P483670507l_bool(member1972431429on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,sK485(U_2408,U_2406)),sK486(U_2408,U_2406))),U_2408))
          & hBOOL(hAPP_f837795298l_bool(hAPP_P483670507l_bool(member1972431429on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,sK485(U_2408,U_2406)),sK486(U_2408,U_2406))),U_2406)) ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK487]),skolemize(U_2401,sK487(U_2408,U_2406))],[f_429_5]) ).

fof(f_429_7,plain,
    ( ! [U_2409,U_2407] :
        ( ( ! [U_2405,U_2403] :
              ( hBOOL(hAPP_f837795298l_bool(hAPP_P483670507l_bool(member1972431429on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_2405),U_2403)),U_2407))
              | ~ hBOOL(hAPP_f837795298l_bool(hAPP_P483670507l_bool(member1972431429on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_2405),U_2403)),U_2409)) )
          & ! [U_2404,U_2402] :
              ( hBOOL(hAPP_f837795298l_bool(hAPP_P483670507l_bool(member1972431429on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_2404),U_2402)),U_2409))
              | ~ hBOOL(hAPP_f837795298l_bool(hAPP_P483670507l_bool(member1972431429on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_2404),U_2402)),U_2407)) ) )
        | U_2407 != U_2409 )
    & ! [U_2408,U_2406] :
        ( U_2406 = U_2408
        | ( ~ hBOOL(hAPP_f837795298l_bool(hAPP_P483670507l_bool(member1972431429on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,sK487(U_2408,U_2406)),sK488(U_2408,U_2406))),U_2406))
          & hBOOL(hAPP_f837795298l_bool(hAPP_P483670507l_bool(member1972431429on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,sK487(U_2408,U_2406)),sK488(U_2408,U_2406))),U_2408)) )
        | ( ~ hBOOL(hAPP_f837795298l_bool(hAPP_P483670507l_bool(member1972431429on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,sK485(U_2408,U_2406)),sK486(U_2408,U_2406))),U_2408))
          & hBOOL(hAPP_f837795298l_bool(hAPP_P483670507l_bool(member1972431429on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,sK485(U_2408,U_2406)),sK486(U_2408,U_2406))),U_2406)) ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK488]),skolemize(U_2399,sK488(U_2408,U_2406))],[f_429_6]) ).

cnf(f_429_8,plain,
    ( hBOOL(hAPP_f837795298l_bool(hAPP_P483670507l_bool(member1972431429on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,sK487(U_2408,U_2406)),sK488(U_2408,U_2406))),U_2408))
    | hBOOL(hAPP_f837795298l_bool(hAPP_P483670507l_bool(member1972431429on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,sK485(U_2408,U_2406)),sK486(U_2408,U_2406))),U_2406))
    | U_2406 = U_2408 ),
    inference(clausify,[status(thm)],[f_429_7]) ).

cnf(f_429_9,plain,
    ( ~ hBOOL(hAPP_f837795298l_bool(hAPP_P483670507l_bool(member1972431429on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,sK487(U_2408,U_2406)),sK488(U_2408,U_2406))),U_2406))
    | hBOOL(hAPP_f837795298l_bool(hAPP_P483670507l_bool(member1972431429on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,sK485(U_2408,U_2406)),sK486(U_2408,U_2406))),U_2406))
    | U_2406 = U_2408 ),
    inference(clausify,[status(thm)],[f_429_7]) ).

cnf(f_429_10,plain,
    ( hBOOL(hAPP_f837795298l_bool(hAPP_P483670507l_bool(member1972431429on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,sK487(U_2408,U_2406)),sK488(U_2408,U_2406))),U_2408))
    | ~ hBOOL(hAPP_f837795298l_bool(hAPP_P483670507l_bool(member1972431429on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,sK485(U_2408,U_2406)),sK486(U_2408,U_2406))),U_2408))
    | U_2406 = U_2408 ),
    inference(clausify,[status(thm)],[f_429_7]) ).

cnf(f_429_11,plain,
    ( ~ hBOOL(hAPP_f837795298l_bool(hAPP_P483670507l_bool(member1972431429on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,sK487(U_2408,U_2406)),sK488(U_2408,U_2406))),U_2406))
    | ~ hBOOL(hAPP_f837795298l_bool(hAPP_P483670507l_bool(member1972431429on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,sK485(U_2408,U_2406)),sK486(U_2408,U_2406))),U_2408))
    | U_2406 = U_2408 ),
    inference(clausify,[status(thm)],[f_429_7]) ).

cnf(f_429_12,plain,
    ( hBOOL(hAPP_f837795298l_bool(hAPP_P483670507l_bool(member1972431429on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_2404),U_2402)),U_2409))
    | ~ hBOOL(hAPP_f837795298l_bool(hAPP_P483670507l_bool(member1972431429on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_2404),U_2402)),U_2407))
    | U_2407 != U_2409 ),
    inference(clausify,[status(thm)],[f_429_7]) ).

cnf(f_429_13,plain,
    ( hBOOL(hAPP_f837795298l_bool(hAPP_P483670507l_bool(member1972431429on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_2405),U_2403)),U_2407))
    | ~ hBOOL(hAPP_f837795298l_bool(hAPP_P483670507l_bool(member1972431429on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_2405),U_2403)),U_2409))
    | U_2407 != U_2409 ),
    inference(clausify,[status(thm)],[f_429_7]) ).

fof(f_430_1,plain,
    ! [S_4,R_2] :
      ( ( ! [X_1,Xa] :
            ( ( hBOOL(hAPP_f1780084320l_bool(hAPP_P1472618637l_bool(member133545693t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,X_1),Xa)),R_2))
              | ~ hBOOL(hAPP_f1780084320l_bool(hAPP_P1472618637l_bool(member133545693t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,X_1),Xa)),S_4)) )
            & ( hBOOL(hAPP_f1780084320l_bool(hAPP_P1472618637l_bool(member133545693t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,X_1),Xa)),S_4))
              | ~ hBOOL(hAPP_f1780084320l_bool(hAPP_P1472618637l_bool(member133545693t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,X_1),Xa)),R_2)) ) )
        | R_2 != S_4 )
      & ( R_2 = S_4
        | ? [X_1,Xa] :
            ( ( ~ hBOOL(hAPP_f1780084320l_bool(hAPP_P1472618637l_bool(member133545693t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,X_1),Xa)),R_2))
              & hBOOL(hAPP_f1780084320l_bool(hAPP_P1472618637l_bool(member133545693t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,X_1),Xa)),S_4)) )
            | ( ~ hBOOL(hAPP_f1780084320l_bool(hAPP_P1472618637l_bool(member133545693t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,X_1),Xa)),S_4))
              & hBOOL(hAPP_f1780084320l_bool(hAPP_P1472618637l_bool(member133545693t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,X_1),Xa)),R_2)) ) ) ) ),
    inference(fof_nnf,[status(thm)],[fact_288_pred__equals__eq2]) ).

fof(f_430_2,plain,
    ! [U_2415,U_2414] :
      ( ( ! [U_2413,U_2412] :
            ( ( hBOOL(hAPP_f1780084320l_bool(hAPP_P1472618637l_bool(member133545693t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_2413),U_2412)),U_2414))
              | ~ hBOOL(hAPP_f1780084320l_bool(hAPP_P1472618637l_bool(member133545693t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_2413),U_2412)),U_2415)) )
            & ( hBOOL(hAPP_f1780084320l_bool(hAPP_P1472618637l_bool(member133545693t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_2413),U_2412)),U_2415))
              | ~ hBOOL(hAPP_f1780084320l_bool(hAPP_P1472618637l_bool(member133545693t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_2413),U_2412)),U_2414)) ) )
        | U_2414 != U_2415 )
      & ( U_2414 = U_2415
        | ? [U_2411,U_2410] :
            ( ( ~ hBOOL(hAPP_f1780084320l_bool(hAPP_P1472618637l_bool(member133545693t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_2411),U_2410)),U_2414))
              & hBOOL(hAPP_f1780084320l_bool(hAPP_P1472618637l_bool(member133545693t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_2411),U_2410)),U_2415)) )
            | ( ~ hBOOL(hAPP_f1780084320l_bool(hAPP_P1472618637l_bool(member133545693t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_2411),U_2410)),U_2415))
              & hBOOL(hAPP_f1780084320l_bool(hAPP_P1472618637l_bool(member133545693t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_2411),U_2410)),U_2414)) ) ) ) ),
    inference(variable_rename,[status(thm)],[f_430_1]) ).

fof(f_430_3,plain,
    ( ! [U_2427,U_2425] :
        ( ( ! [U_2423,U_2421] :
              ( hBOOL(hAPP_f1780084320l_bool(hAPP_P1472618637l_bool(member133545693t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_2423),U_2421)),U_2425))
              | ~ hBOOL(hAPP_f1780084320l_bool(hAPP_P1472618637l_bool(member133545693t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_2423),U_2421)),U_2427)) )
          & ! [U_2422,U_2420] :
              ( hBOOL(hAPP_f1780084320l_bool(hAPP_P1472618637l_bool(member133545693t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_2422),U_2420)),U_2427))
              | ~ hBOOL(hAPP_f1780084320l_bool(hAPP_P1472618637l_bool(member133545693t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_2422),U_2420)),U_2425)) ) )
        | U_2425 != U_2427 )
    & ! [U_2426,U_2424] :
        ( U_2424 = U_2426
        | ? [U_2419,U_2417] :
            ( ~ hBOOL(hAPP_f1780084320l_bool(hAPP_P1472618637l_bool(member133545693t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_2419),U_2417)),U_2424))
            & hBOOL(hAPP_f1780084320l_bool(hAPP_P1472618637l_bool(member133545693t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_2419),U_2417)),U_2426)) )
        | ? [U_2418,U_2416] :
            ( ~ hBOOL(hAPP_f1780084320l_bool(hAPP_P1472618637l_bool(member133545693t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_2418),U_2416)),U_2426))
            & hBOOL(hAPP_f1780084320l_bool(hAPP_P1472618637l_bool(member133545693t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_2418),U_2416)),U_2424)) ) ) ),
    inference(miniscope,[status(thm)],[f_430_2]) ).

fof(f_430_4,plain,
    ( ! [U_2427,U_2425] :
        ( ( ! [U_2423,U_2421] :
              ( hBOOL(hAPP_f1780084320l_bool(hAPP_P1472618637l_bool(member133545693t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_2423),U_2421)),U_2425))
              | ~ hBOOL(hAPP_f1780084320l_bool(hAPP_P1472618637l_bool(member133545693t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_2423),U_2421)),U_2427)) )
          & ! [U_2422,U_2420] :
              ( hBOOL(hAPP_f1780084320l_bool(hAPP_P1472618637l_bool(member133545693t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_2422),U_2420)),U_2427))
              | ~ hBOOL(hAPP_f1780084320l_bool(hAPP_P1472618637l_bool(member133545693t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_2422),U_2420)),U_2425)) ) )
        | U_2425 != U_2427 )
    & ! [U_2426,U_2424] :
        ( U_2424 = U_2426
        | ? [U_2419,U_2417] :
            ( ~ hBOOL(hAPP_f1780084320l_bool(hAPP_P1472618637l_bool(member133545693t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_2419),U_2417)),U_2424))
            & hBOOL(hAPP_f1780084320l_bool(hAPP_P1472618637l_bool(member133545693t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_2419),U_2417)),U_2426)) )
        | ? [U_2416] :
            ( ~ hBOOL(hAPP_f1780084320l_bool(hAPP_P1472618637l_bool(member133545693t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,sK489(U_2426,U_2424)),U_2416)),U_2426))
            & hBOOL(hAPP_f1780084320l_bool(hAPP_P1472618637l_bool(member133545693t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,sK489(U_2426,U_2424)),U_2416)),U_2424)) ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK489]),skolemize(U_2418,sK489(U_2426,U_2424))],[f_430_3]) ).

fof(f_430_5,plain,
    ( ! [U_2427,U_2425] :
        ( ( ! [U_2423,U_2421] :
              ( hBOOL(hAPP_f1780084320l_bool(hAPP_P1472618637l_bool(member133545693t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_2423),U_2421)),U_2425))
              | ~ hBOOL(hAPP_f1780084320l_bool(hAPP_P1472618637l_bool(member133545693t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_2423),U_2421)),U_2427)) )
          & ! [U_2422,U_2420] :
              ( hBOOL(hAPP_f1780084320l_bool(hAPP_P1472618637l_bool(member133545693t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_2422),U_2420)),U_2427))
              | ~ hBOOL(hAPP_f1780084320l_bool(hAPP_P1472618637l_bool(member133545693t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_2422),U_2420)),U_2425)) ) )
        | U_2425 != U_2427 )
    & ! [U_2426,U_2424] :
        ( U_2424 = U_2426
        | ? [U_2419,U_2417] :
            ( ~ hBOOL(hAPP_f1780084320l_bool(hAPP_P1472618637l_bool(member133545693t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_2419),U_2417)),U_2424))
            & hBOOL(hAPP_f1780084320l_bool(hAPP_P1472618637l_bool(member133545693t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_2419),U_2417)),U_2426)) )
        | ( ~ hBOOL(hAPP_f1780084320l_bool(hAPP_P1472618637l_bool(member133545693t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,sK489(U_2426,U_2424)),sK490(U_2426,U_2424))),U_2426))
          & hBOOL(hAPP_f1780084320l_bool(hAPP_P1472618637l_bool(member133545693t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,sK489(U_2426,U_2424)),sK490(U_2426,U_2424))),U_2424)) ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK490]),skolemize(U_2416,sK490(U_2426,U_2424))],[f_430_4]) ).

fof(f_430_6,plain,
    ( ! [U_2427,U_2425] :
        ( ( ! [U_2423,U_2421] :
              ( hBOOL(hAPP_f1780084320l_bool(hAPP_P1472618637l_bool(member133545693t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_2423),U_2421)),U_2425))
              | ~ hBOOL(hAPP_f1780084320l_bool(hAPP_P1472618637l_bool(member133545693t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_2423),U_2421)),U_2427)) )
          & ! [U_2422,U_2420] :
              ( hBOOL(hAPP_f1780084320l_bool(hAPP_P1472618637l_bool(member133545693t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_2422),U_2420)),U_2427))
              | ~ hBOOL(hAPP_f1780084320l_bool(hAPP_P1472618637l_bool(member133545693t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_2422),U_2420)),U_2425)) ) )
        | U_2425 != U_2427 )
    & ! [U_2426,U_2424] :
        ( U_2424 = U_2426
        | ? [U_2417] :
            ( ~ hBOOL(hAPP_f1780084320l_bool(hAPP_P1472618637l_bool(member133545693t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,sK491(U_2426,U_2424)),U_2417)),U_2424))
            & hBOOL(hAPP_f1780084320l_bool(hAPP_P1472618637l_bool(member133545693t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,sK491(U_2426,U_2424)),U_2417)),U_2426)) )
        | ( ~ hBOOL(hAPP_f1780084320l_bool(hAPP_P1472618637l_bool(member133545693t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,sK489(U_2426,U_2424)),sK490(U_2426,U_2424))),U_2426))
          & hBOOL(hAPP_f1780084320l_bool(hAPP_P1472618637l_bool(member133545693t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,sK489(U_2426,U_2424)),sK490(U_2426,U_2424))),U_2424)) ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK491]),skolemize(U_2419,sK491(U_2426,U_2424))],[f_430_5]) ).

fof(f_430_7,plain,
    ( ! [U_2427,U_2425] :
        ( ( ! [U_2423,U_2421] :
              ( hBOOL(hAPP_f1780084320l_bool(hAPP_P1472618637l_bool(member133545693t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_2423),U_2421)),U_2425))
              | ~ hBOOL(hAPP_f1780084320l_bool(hAPP_P1472618637l_bool(member133545693t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_2423),U_2421)),U_2427)) )
          & ! [U_2422,U_2420] :
              ( hBOOL(hAPP_f1780084320l_bool(hAPP_P1472618637l_bool(member133545693t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_2422),U_2420)),U_2427))
              | ~ hBOOL(hAPP_f1780084320l_bool(hAPP_P1472618637l_bool(member133545693t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_2422),U_2420)),U_2425)) ) )
        | U_2425 != U_2427 )
    & ! [U_2426,U_2424] :
        ( U_2424 = U_2426
        | ( ~ hBOOL(hAPP_f1780084320l_bool(hAPP_P1472618637l_bool(member133545693t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,sK491(U_2426,U_2424)),sK492(U_2426,U_2424))),U_2424))
          & hBOOL(hAPP_f1780084320l_bool(hAPP_P1472618637l_bool(member133545693t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,sK491(U_2426,U_2424)),sK492(U_2426,U_2424))),U_2426)) )
        | ( ~ hBOOL(hAPP_f1780084320l_bool(hAPP_P1472618637l_bool(member133545693t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,sK489(U_2426,U_2424)),sK490(U_2426,U_2424))),U_2426))
          & hBOOL(hAPP_f1780084320l_bool(hAPP_P1472618637l_bool(member133545693t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,sK489(U_2426,U_2424)),sK490(U_2426,U_2424))),U_2424)) ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK492]),skolemize(U_2417,sK492(U_2426,U_2424))],[f_430_6]) ).

cnf(f_430_8,plain,
    ( hBOOL(hAPP_f1780084320l_bool(hAPP_P1472618637l_bool(member133545693t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,sK491(U_2426,U_2424)),sK492(U_2426,U_2424))),U_2426))
    | hBOOL(hAPP_f1780084320l_bool(hAPP_P1472618637l_bool(member133545693t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,sK489(U_2426,U_2424)),sK490(U_2426,U_2424))),U_2424))
    | U_2424 = U_2426 ),
    inference(clausify,[status(thm)],[f_430_7]) ).

cnf(f_430_9,plain,
    ( ~ hBOOL(hAPP_f1780084320l_bool(hAPP_P1472618637l_bool(member133545693t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,sK491(U_2426,U_2424)),sK492(U_2426,U_2424))),U_2424))
    | hBOOL(hAPP_f1780084320l_bool(hAPP_P1472618637l_bool(member133545693t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,sK489(U_2426,U_2424)),sK490(U_2426,U_2424))),U_2424))
    | U_2424 = U_2426 ),
    inference(clausify,[status(thm)],[f_430_7]) ).

cnf(f_430_10,plain,
    ( hBOOL(hAPP_f1780084320l_bool(hAPP_P1472618637l_bool(member133545693t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,sK491(U_2426,U_2424)),sK492(U_2426,U_2424))),U_2426))
    | ~ hBOOL(hAPP_f1780084320l_bool(hAPP_P1472618637l_bool(member133545693t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,sK489(U_2426,U_2424)),sK490(U_2426,U_2424))),U_2426))
    | U_2424 = U_2426 ),
    inference(clausify,[status(thm)],[f_430_7]) ).

cnf(f_430_11,plain,
    ( ~ hBOOL(hAPP_f1780084320l_bool(hAPP_P1472618637l_bool(member133545693t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,sK491(U_2426,U_2424)),sK492(U_2426,U_2424))),U_2424))
    | ~ hBOOL(hAPP_f1780084320l_bool(hAPP_P1472618637l_bool(member133545693t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,sK489(U_2426,U_2424)),sK490(U_2426,U_2424))),U_2426))
    | U_2424 = U_2426 ),
    inference(clausify,[status(thm)],[f_430_7]) ).

cnf(f_430_12,plain,
    ( hBOOL(hAPP_f1780084320l_bool(hAPP_P1472618637l_bool(member133545693t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_2422),U_2420)),U_2427))
    | ~ hBOOL(hAPP_f1780084320l_bool(hAPP_P1472618637l_bool(member133545693t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_2422),U_2420)),U_2425))
    | U_2425 != U_2427 ),
    inference(clausify,[status(thm)],[f_430_7]) ).

cnf(f_430_13,plain,
    ( hBOOL(hAPP_f1780084320l_bool(hAPP_P1472618637l_bool(member133545693t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_2423),U_2421)),U_2425))
    | ~ hBOOL(hAPP_f1780084320l_bool(hAPP_P1472618637l_bool(member133545693t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_2423),U_2421)),U_2427))
    | U_2425 != U_2427 ),
    inference(clausify,[status(thm)],[f_430_7]) ).

fof(f_431_1,plain,
    ! [S_4,R_2] :
      ( ( ! [X_1,Xa] :
            ( ( hBOOL(hAPP_f1746574980l_bool(hAPP_P1198052655l_bool(member140606439t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,X_1),Xa)),R_2))
              | ~ hBOOL(hAPP_f1746574980l_bool(hAPP_P1198052655l_bool(member140606439t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,X_1),Xa)),S_4)) )
            & ( hBOOL(hAPP_f1746574980l_bool(hAPP_P1198052655l_bool(member140606439t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,X_1),Xa)),S_4))
              | ~ hBOOL(hAPP_f1746574980l_bool(hAPP_P1198052655l_bool(member140606439t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,X_1),Xa)),R_2)) ) )
        | R_2 != S_4 )
      & ( R_2 = S_4
        | ? [X_1,Xa] :
            ( ( ~ hBOOL(hAPP_f1746574980l_bool(hAPP_P1198052655l_bool(member140606439t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,X_1),Xa)),R_2))
              & hBOOL(hAPP_f1746574980l_bool(hAPP_P1198052655l_bool(member140606439t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,X_1),Xa)),S_4)) )
            | ( ~ hBOOL(hAPP_f1746574980l_bool(hAPP_P1198052655l_bool(member140606439t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,X_1),Xa)),S_4))
              & hBOOL(hAPP_f1746574980l_bool(hAPP_P1198052655l_bool(member140606439t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,X_1),Xa)),R_2)) ) ) ) ),
    inference(fof_nnf,[status(thm)],[fact_289_pred__equals__eq2]) ).

fof(f_431_2,plain,
    ! [U_2433,U_2432] :
      ( ( ! [U_2431,U_2430] :
            ( ( hBOOL(hAPP_f1746574980l_bool(hAPP_P1198052655l_bool(member140606439t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_2431),U_2430)),U_2432))
              | ~ hBOOL(hAPP_f1746574980l_bool(hAPP_P1198052655l_bool(member140606439t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_2431),U_2430)),U_2433)) )
            & ( hBOOL(hAPP_f1746574980l_bool(hAPP_P1198052655l_bool(member140606439t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_2431),U_2430)),U_2433))
              | ~ hBOOL(hAPP_f1746574980l_bool(hAPP_P1198052655l_bool(member140606439t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_2431),U_2430)),U_2432)) ) )
        | U_2432 != U_2433 )
      & ( U_2432 = U_2433
        | ? [U_2429,U_2428] :
            ( ( ~ hBOOL(hAPP_f1746574980l_bool(hAPP_P1198052655l_bool(member140606439t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_2429),U_2428)),U_2432))
              & hBOOL(hAPP_f1746574980l_bool(hAPP_P1198052655l_bool(member140606439t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_2429),U_2428)),U_2433)) )
            | ( ~ hBOOL(hAPP_f1746574980l_bool(hAPP_P1198052655l_bool(member140606439t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_2429),U_2428)),U_2433))
              & hBOOL(hAPP_f1746574980l_bool(hAPP_P1198052655l_bool(member140606439t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_2429),U_2428)),U_2432)) ) ) ) ),
    inference(variable_rename,[status(thm)],[f_431_1]) ).

fof(f_431_3,plain,
    ( ! [U_2445,U_2443] :
        ( ( ! [U_2441,U_2439] :
              ( hBOOL(hAPP_f1746574980l_bool(hAPP_P1198052655l_bool(member140606439t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_2441),U_2439)),U_2443))
              | ~ hBOOL(hAPP_f1746574980l_bool(hAPP_P1198052655l_bool(member140606439t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_2441),U_2439)),U_2445)) )
          & ! [U_2440,U_2438] :
              ( hBOOL(hAPP_f1746574980l_bool(hAPP_P1198052655l_bool(member140606439t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_2440),U_2438)),U_2445))
              | ~ hBOOL(hAPP_f1746574980l_bool(hAPP_P1198052655l_bool(member140606439t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_2440),U_2438)),U_2443)) ) )
        | U_2443 != U_2445 )
    & ! [U_2444,U_2442] :
        ( U_2442 = U_2444
        | ? [U_2437,U_2435] :
            ( ~ hBOOL(hAPP_f1746574980l_bool(hAPP_P1198052655l_bool(member140606439t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_2437),U_2435)),U_2442))
            & hBOOL(hAPP_f1746574980l_bool(hAPP_P1198052655l_bool(member140606439t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_2437),U_2435)),U_2444)) )
        | ? [U_2436,U_2434] :
            ( ~ hBOOL(hAPP_f1746574980l_bool(hAPP_P1198052655l_bool(member140606439t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_2436),U_2434)),U_2444))
            & hBOOL(hAPP_f1746574980l_bool(hAPP_P1198052655l_bool(member140606439t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_2436),U_2434)),U_2442)) ) ) ),
    inference(miniscope,[status(thm)],[f_431_2]) ).

fof(f_431_4,plain,
    ( ! [U_2445,U_2443] :
        ( ( ! [U_2441,U_2439] :
              ( hBOOL(hAPP_f1746574980l_bool(hAPP_P1198052655l_bool(member140606439t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_2441),U_2439)),U_2443))
              | ~ hBOOL(hAPP_f1746574980l_bool(hAPP_P1198052655l_bool(member140606439t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_2441),U_2439)),U_2445)) )
          & ! [U_2440,U_2438] :
              ( hBOOL(hAPP_f1746574980l_bool(hAPP_P1198052655l_bool(member140606439t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_2440),U_2438)),U_2445))
              | ~ hBOOL(hAPP_f1746574980l_bool(hAPP_P1198052655l_bool(member140606439t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_2440),U_2438)),U_2443)) ) )
        | U_2443 != U_2445 )
    & ! [U_2444,U_2442] :
        ( U_2442 = U_2444
        | ? [U_2437,U_2435] :
            ( ~ hBOOL(hAPP_f1746574980l_bool(hAPP_P1198052655l_bool(member140606439t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_2437),U_2435)),U_2442))
            & hBOOL(hAPP_f1746574980l_bool(hAPP_P1198052655l_bool(member140606439t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_2437),U_2435)),U_2444)) )
        | ? [U_2434] :
            ( ~ hBOOL(hAPP_f1746574980l_bool(hAPP_P1198052655l_bool(member140606439t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,sK493(U_2444,U_2442)),U_2434)),U_2444))
            & hBOOL(hAPP_f1746574980l_bool(hAPP_P1198052655l_bool(member140606439t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,sK493(U_2444,U_2442)),U_2434)),U_2442)) ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK493]),skolemize(U_2436,sK493(U_2444,U_2442))],[f_431_3]) ).

fof(f_431_5,plain,
    ( ! [U_2445,U_2443] :
        ( ( ! [U_2441,U_2439] :
              ( hBOOL(hAPP_f1746574980l_bool(hAPP_P1198052655l_bool(member140606439t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_2441),U_2439)),U_2443))
              | ~ hBOOL(hAPP_f1746574980l_bool(hAPP_P1198052655l_bool(member140606439t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_2441),U_2439)),U_2445)) )
          & ! [U_2440,U_2438] :
              ( hBOOL(hAPP_f1746574980l_bool(hAPP_P1198052655l_bool(member140606439t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_2440),U_2438)),U_2445))
              | ~ hBOOL(hAPP_f1746574980l_bool(hAPP_P1198052655l_bool(member140606439t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_2440),U_2438)),U_2443)) ) )
        | U_2443 != U_2445 )
    & ! [U_2444,U_2442] :
        ( U_2442 = U_2444
        | ? [U_2437,U_2435] :
            ( ~ hBOOL(hAPP_f1746574980l_bool(hAPP_P1198052655l_bool(member140606439t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_2437),U_2435)),U_2442))
            & hBOOL(hAPP_f1746574980l_bool(hAPP_P1198052655l_bool(member140606439t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_2437),U_2435)),U_2444)) )
        | ( ~ hBOOL(hAPP_f1746574980l_bool(hAPP_P1198052655l_bool(member140606439t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,sK493(U_2444,U_2442)),sK494(U_2444,U_2442))),U_2444))
          & hBOOL(hAPP_f1746574980l_bool(hAPP_P1198052655l_bool(member140606439t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,sK493(U_2444,U_2442)),sK494(U_2444,U_2442))),U_2442)) ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK494]),skolemize(U_2434,sK494(U_2444,U_2442))],[f_431_4]) ).

fof(f_431_6,plain,
    ( ! [U_2445,U_2443] :
        ( ( ! [U_2441,U_2439] :
              ( hBOOL(hAPP_f1746574980l_bool(hAPP_P1198052655l_bool(member140606439t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_2441),U_2439)),U_2443))
              | ~ hBOOL(hAPP_f1746574980l_bool(hAPP_P1198052655l_bool(member140606439t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_2441),U_2439)),U_2445)) )
          & ! [U_2440,U_2438] :
              ( hBOOL(hAPP_f1746574980l_bool(hAPP_P1198052655l_bool(member140606439t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_2440),U_2438)),U_2445))
              | ~ hBOOL(hAPP_f1746574980l_bool(hAPP_P1198052655l_bool(member140606439t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_2440),U_2438)),U_2443)) ) )
        | U_2443 != U_2445 )
    & ! [U_2444,U_2442] :
        ( U_2442 = U_2444
        | ? [U_2435] :
            ( ~ hBOOL(hAPP_f1746574980l_bool(hAPP_P1198052655l_bool(member140606439t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,sK495(U_2444,U_2442)),U_2435)),U_2442))
            & hBOOL(hAPP_f1746574980l_bool(hAPP_P1198052655l_bool(member140606439t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,sK495(U_2444,U_2442)),U_2435)),U_2444)) )
        | ( ~ hBOOL(hAPP_f1746574980l_bool(hAPP_P1198052655l_bool(member140606439t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,sK493(U_2444,U_2442)),sK494(U_2444,U_2442))),U_2444))
          & hBOOL(hAPP_f1746574980l_bool(hAPP_P1198052655l_bool(member140606439t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,sK493(U_2444,U_2442)),sK494(U_2444,U_2442))),U_2442)) ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK495]),skolemize(U_2437,sK495(U_2444,U_2442))],[f_431_5]) ).

fof(f_431_7,plain,
    ( ! [U_2445,U_2443] :
        ( ( ! [U_2441,U_2439] :
              ( hBOOL(hAPP_f1746574980l_bool(hAPP_P1198052655l_bool(member140606439t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_2441),U_2439)),U_2443))
              | ~ hBOOL(hAPP_f1746574980l_bool(hAPP_P1198052655l_bool(member140606439t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_2441),U_2439)),U_2445)) )
          & ! [U_2440,U_2438] :
              ( hBOOL(hAPP_f1746574980l_bool(hAPP_P1198052655l_bool(member140606439t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_2440),U_2438)),U_2445))
              | ~ hBOOL(hAPP_f1746574980l_bool(hAPP_P1198052655l_bool(member140606439t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_2440),U_2438)),U_2443)) ) )
        | U_2443 != U_2445 )
    & ! [U_2444,U_2442] :
        ( U_2442 = U_2444
        | ( ~ hBOOL(hAPP_f1746574980l_bool(hAPP_P1198052655l_bool(member140606439t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,sK495(U_2444,U_2442)),sK496(U_2444,U_2442))),U_2442))
          & hBOOL(hAPP_f1746574980l_bool(hAPP_P1198052655l_bool(member140606439t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,sK495(U_2444,U_2442)),sK496(U_2444,U_2442))),U_2444)) )
        | ( ~ hBOOL(hAPP_f1746574980l_bool(hAPP_P1198052655l_bool(member140606439t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,sK493(U_2444,U_2442)),sK494(U_2444,U_2442))),U_2444))
          & hBOOL(hAPP_f1746574980l_bool(hAPP_P1198052655l_bool(member140606439t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,sK493(U_2444,U_2442)),sK494(U_2444,U_2442))),U_2442)) ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK496]),skolemize(U_2435,sK496(U_2444,U_2442))],[f_431_6]) ).

cnf(f_431_8,plain,
    ( hBOOL(hAPP_f1746574980l_bool(hAPP_P1198052655l_bool(member140606439t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,sK495(U_2444,U_2442)),sK496(U_2444,U_2442))),U_2444))
    | hBOOL(hAPP_f1746574980l_bool(hAPP_P1198052655l_bool(member140606439t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,sK493(U_2444,U_2442)),sK494(U_2444,U_2442))),U_2442))
    | U_2442 = U_2444 ),
    inference(clausify,[status(thm)],[f_431_7]) ).

cnf(f_431_9,plain,
    ( ~ hBOOL(hAPP_f1746574980l_bool(hAPP_P1198052655l_bool(member140606439t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,sK495(U_2444,U_2442)),sK496(U_2444,U_2442))),U_2442))
    | hBOOL(hAPP_f1746574980l_bool(hAPP_P1198052655l_bool(member140606439t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,sK493(U_2444,U_2442)),sK494(U_2444,U_2442))),U_2442))
    | U_2442 = U_2444 ),
    inference(clausify,[status(thm)],[f_431_7]) ).

cnf(f_431_10,plain,
    ( hBOOL(hAPP_f1746574980l_bool(hAPP_P1198052655l_bool(member140606439t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,sK495(U_2444,U_2442)),sK496(U_2444,U_2442))),U_2444))
    | ~ hBOOL(hAPP_f1746574980l_bool(hAPP_P1198052655l_bool(member140606439t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,sK493(U_2444,U_2442)),sK494(U_2444,U_2442))),U_2444))
    | U_2442 = U_2444 ),
    inference(clausify,[status(thm)],[f_431_7]) ).

cnf(f_431_11,plain,
    ( ~ hBOOL(hAPP_f1746574980l_bool(hAPP_P1198052655l_bool(member140606439t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,sK495(U_2444,U_2442)),sK496(U_2444,U_2442))),U_2442))
    | ~ hBOOL(hAPP_f1746574980l_bool(hAPP_P1198052655l_bool(member140606439t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,sK493(U_2444,U_2442)),sK494(U_2444,U_2442))),U_2444))
    | U_2442 = U_2444 ),
    inference(clausify,[status(thm)],[f_431_7]) ).

cnf(f_431_12,plain,
    ( hBOOL(hAPP_f1746574980l_bool(hAPP_P1198052655l_bool(member140606439t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_2440),U_2438)),U_2445))
    | ~ hBOOL(hAPP_f1746574980l_bool(hAPP_P1198052655l_bool(member140606439t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_2440),U_2438)),U_2443))
    | U_2443 != U_2445 ),
    inference(clausify,[status(thm)],[f_431_7]) ).

cnf(f_431_13,plain,
    ( hBOOL(hAPP_f1746574980l_bool(hAPP_P1198052655l_bool(member140606439t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_2441),U_2439)),U_2443))
    | ~ hBOOL(hAPP_f1746574980l_bool(hAPP_P1198052655l_bool(member140606439t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_2441),U_2439)),U_2445))
    | U_2443 != U_2445 ),
    inference(clausify,[status(thm)],[f_431_7]) ).

fof(f_432_1,plain,
    ! [S_4,R_2] :
      ( ( ! [X_1,Xa] :
            ( ( hBOOL(hAPP_f1314764175l_bool(hAPP_P845017029l_bool(member699351154t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,X_1),Xa)),R_2))
              | ~ hBOOL(hAPP_f1314764175l_bool(hAPP_P845017029l_bool(member699351154t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,X_1),Xa)),S_4)) )
            & ( hBOOL(hAPP_f1314764175l_bool(hAPP_P845017029l_bool(member699351154t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,X_1),Xa)),S_4))
              | ~ hBOOL(hAPP_f1314764175l_bool(hAPP_P845017029l_bool(member699351154t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,X_1),Xa)),R_2)) ) )
        | R_2 != S_4 )
      & ( R_2 = S_4
        | ? [X_1,Xa] :
            ( ( ~ hBOOL(hAPP_f1314764175l_bool(hAPP_P845017029l_bool(member699351154t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,X_1),Xa)),R_2))
              & hBOOL(hAPP_f1314764175l_bool(hAPP_P845017029l_bool(member699351154t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,X_1),Xa)),S_4)) )
            | ( ~ hBOOL(hAPP_f1314764175l_bool(hAPP_P845017029l_bool(member699351154t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,X_1),Xa)),S_4))
              & hBOOL(hAPP_f1314764175l_bool(hAPP_P845017029l_bool(member699351154t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,X_1),Xa)),R_2)) ) ) ) ),
    inference(fof_nnf,[status(thm)],[fact_290_pred__equals__eq2]) ).

fof(f_432_2,plain,
    ! [U_2451,U_2450] :
      ( ( ! [U_2449,U_2448] :
            ( ( hBOOL(hAPP_f1314764175l_bool(hAPP_P845017029l_bool(member699351154t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_2449),U_2448)),U_2450))
              | ~ hBOOL(hAPP_f1314764175l_bool(hAPP_P845017029l_bool(member699351154t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_2449),U_2448)),U_2451)) )
            & ( hBOOL(hAPP_f1314764175l_bool(hAPP_P845017029l_bool(member699351154t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_2449),U_2448)),U_2451))
              | ~ hBOOL(hAPP_f1314764175l_bool(hAPP_P845017029l_bool(member699351154t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_2449),U_2448)),U_2450)) ) )
        | U_2450 != U_2451 )
      & ( U_2450 = U_2451
        | ? [U_2447,U_2446] :
            ( ( ~ hBOOL(hAPP_f1314764175l_bool(hAPP_P845017029l_bool(member699351154t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_2447),U_2446)),U_2450))
              & hBOOL(hAPP_f1314764175l_bool(hAPP_P845017029l_bool(member699351154t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_2447),U_2446)),U_2451)) )
            | ( ~ hBOOL(hAPP_f1314764175l_bool(hAPP_P845017029l_bool(member699351154t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_2447),U_2446)),U_2451))
              & hBOOL(hAPP_f1314764175l_bool(hAPP_P845017029l_bool(member699351154t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_2447),U_2446)),U_2450)) ) ) ) ),
    inference(variable_rename,[status(thm)],[f_432_1]) ).

fof(f_432_3,plain,
    ( ! [U_2463,U_2461] :
        ( ( ! [U_2459,U_2457] :
              ( hBOOL(hAPP_f1314764175l_bool(hAPP_P845017029l_bool(member699351154t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_2459),U_2457)),U_2461))
              | ~ hBOOL(hAPP_f1314764175l_bool(hAPP_P845017029l_bool(member699351154t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_2459),U_2457)),U_2463)) )
          & ! [U_2458,U_2456] :
              ( hBOOL(hAPP_f1314764175l_bool(hAPP_P845017029l_bool(member699351154t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_2458),U_2456)),U_2463))
              | ~ hBOOL(hAPP_f1314764175l_bool(hAPP_P845017029l_bool(member699351154t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_2458),U_2456)),U_2461)) ) )
        | U_2461 != U_2463 )
    & ! [U_2462,U_2460] :
        ( U_2460 = U_2462
        | ? [U_2455,U_2453] :
            ( ~ hBOOL(hAPP_f1314764175l_bool(hAPP_P845017029l_bool(member699351154t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_2455),U_2453)),U_2460))
            & hBOOL(hAPP_f1314764175l_bool(hAPP_P845017029l_bool(member699351154t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_2455),U_2453)),U_2462)) )
        | ? [U_2454,U_2452] :
            ( ~ hBOOL(hAPP_f1314764175l_bool(hAPP_P845017029l_bool(member699351154t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_2454),U_2452)),U_2462))
            & hBOOL(hAPP_f1314764175l_bool(hAPP_P845017029l_bool(member699351154t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_2454),U_2452)),U_2460)) ) ) ),
    inference(miniscope,[status(thm)],[f_432_2]) ).

fof(f_432_4,plain,
    ( ! [U_2463,U_2461] :
        ( ( ! [U_2459,U_2457] :
              ( hBOOL(hAPP_f1314764175l_bool(hAPP_P845017029l_bool(member699351154t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_2459),U_2457)),U_2461))
              | ~ hBOOL(hAPP_f1314764175l_bool(hAPP_P845017029l_bool(member699351154t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_2459),U_2457)),U_2463)) )
          & ! [U_2458,U_2456] :
              ( hBOOL(hAPP_f1314764175l_bool(hAPP_P845017029l_bool(member699351154t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_2458),U_2456)),U_2463))
              | ~ hBOOL(hAPP_f1314764175l_bool(hAPP_P845017029l_bool(member699351154t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_2458),U_2456)),U_2461)) ) )
        | U_2461 != U_2463 )
    & ! [U_2462,U_2460] :
        ( U_2460 = U_2462
        | ? [U_2455,U_2453] :
            ( ~ hBOOL(hAPP_f1314764175l_bool(hAPP_P845017029l_bool(member699351154t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_2455),U_2453)),U_2460))
            & hBOOL(hAPP_f1314764175l_bool(hAPP_P845017029l_bool(member699351154t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_2455),U_2453)),U_2462)) )
        | ? [U_2452] :
            ( ~ hBOOL(hAPP_f1314764175l_bool(hAPP_P845017029l_bool(member699351154t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,sK497(U_2462,U_2460)),U_2452)),U_2462))
            & hBOOL(hAPP_f1314764175l_bool(hAPP_P845017029l_bool(member699351154t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,sK497(U_2462,U_2460)),U_2452)),U_2460)) ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK497]),skolemize(U_2454,sK497(U_2462,U_2460))],[f_432_3]) ).

fof(f_432_5,plain,
    ( ! [U_2463,U_2461] :
        ( ( ! [U_2459,U_2457] :
              ( hBOOL(hAPP_f1314764175l_bool(hAPP_P845017029l_bool(member699351154t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_2459),U_2457)),U_2461))
              | ~ hBOOL(hAPP_f1314764175l_bool(hAPP_P845017029l_bool(member699351154t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_2459),U_2457)),U_2463)) )
          & ! [U_2458,U_2456] :
              ( hBOOL(hAPP_f1314764175l_bool(hAPP_P845017029l_bool(member699351154t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_2458),U_2456)),U_2463))
              | ~ hBOOL(hAPP_f1314764175l_bool(hAPP_P845017029l_bool(member699351154t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_2458),U_2456)),U_2461)) ) )
        | U_2461 != U_2463 )
    & ! [U_2462,U_2460] :
        ( U_2460 = U_2462
        | ? [U_2455,U_2453] :
            ( ~ hBOOL(hAPP_f1314764175l_bool(hAPP_P845017029l_bool(member699351154t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_2455),U_2453)),U_2460))
            & hBOOL(hAPP_f1314764175l_bool(hAPP_P845017029l_bool(member699351154t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_2455),U_2453)),U_2462)) )
        | ( ~ hBOOL(hAPP_f1314764175l_bool(hAPP_P845017029l_bool(member699351154t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,sK497(U_2462,U_2460)),sK498(U_2462,U_2460))),U_2462))
          & hBOOL(hAPP_f1314764175l_bool(hAPP_P845017029l_bool(member699351154t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,sK497(U_2462,U_2460)),sK498(U_2462,U_2460))),U_2460)) ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK498]),skolemize(U_2452,sK498(U_2462,U_2460))],[f_432_4]) ).

fof(f_432_6,plain,
    ( ! [U_2463,U_2461] :
        ( ( ! [U_2459,U_2457] :
              ( hBOOL(hAPP_f1314764175l_bool(hAPP_P845017029l_bool(member699351154t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_2459),U_2457)),U_2461))
              | ~ hBOOL(hAPP_f1314764175l_bool(hAPP_P845017029l_bool(member699351154t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_2459),U_2457)),U_2463)) )
          & ! [U_2458,U_2456] :
              ( hBOOL(hAPP_f1314764175l_bool(hAPP_P845017029l_bool(member699351154t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_2458),U_2456)),U_2463))
              | ~ hBOOL(hAPP_f1314764175l_bool(hAPP_P845017029l_bool(member699351154t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_2458),U_2456)),U_2461)) ) )
        | U_2461 != U_2463 )
    & ! [U_2462,U_2460] :
        ( U_2460 = U_2462
        | ? [U_2453] :
            ( ~ hBOOL(hAPP_f1314764175l_bool(hAPP_P845017029l_bool(member699351154t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,sK499(U_2462,U_2460)),U_2453)),U_2460))
            & hBOOL(hAPP_f1314764175l_bool(hAPP_P845017029l_bool(member699351154t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,sK499(U_2462,U_2460)),U_2453)),U_2462)) )
        | ( ~ hBOOL(hAPP_f1314764175l_bool(hAPP_P845017029l_bool(member699351154t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,sK497(U_2462,U_2460)),sK498(U_2462,U_2460))),U_2462))
          & hBOOL(hAPP_f1314764175l_bool(hAPP_P845017029l_bool(member699351154t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,sK497(U_2462,U_2460)),sK498(U_2462,U_2460))),U_2460)) ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK499]),skolemize(U_2455,sK499(U_2462,U_2460))],[f_432_5]) ).

fof(f_432_7,plain,
    ( ! [U_2463,U_2461] :
        ( ( ! [U_2459,U_2457] :
              ( hBOOL(hAPP_f1314764175l_bool(hAPP_P845017029l_bool(member699351154t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_2459),U_2457)),U_2461))
              | ~ hBOOL(hAPP_f1314764175l_bool(hAPP_P845017029l_bool(member699351154t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_2459),U_2457)),U_2463)) )
          & ! [U_2458,U_2456] :
              ( hBOOL(hAPP_f1314764175l_bool(hAPP_P845017029l_bool(member699351154t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_2458),U_2456)),U_2463))
              | ~ hBOOL(hAPP_f1314764175l_bool(hAPP_P845017029l_bool(member699351154t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_2458),U_2456)),U_2461)) ) )
        | U_2461 != U_2463 )
    & ! [U_2462,U_2460] :
        ( U_2460 = U_2462
        | ( ~ hBOOL(hAPP_f1314764175l_bool(hAPP_P845017029l_bool(member699351154t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,sK499(U_2462,U_2460)),sK500(U_2462,U_2460))),U_2460))
          & hBOOL(hAPP_f1314764175l_bool(hAPP_P845017029l_bool(member699351154t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,sK499(U_2462,U_2460)),sK500(U_2462,U_2460))),U_2462)) )
        | ( ~ hBOOL(hAPP_f1314764175l_bool(hAPP_P845017029l_bool(member699351154t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,sK497(U_2462,U_2460)),sK498(U_2462,U_2460))),U_2462))
          & hBOOL(hAPP_f1314764175l_bool(hAPP_P845017029l_bool(member699351154t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,sK497(U_2462,U_2460)),sK498(U_2462,U_2460))),U_2460)) ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK500]),skolemize(U_2453,sK500(U_2462,U_2460))],[f_432_6]) ).

cnf(f_432_8,plain,
    ( hBOOL(hAPP_f1314764175l_bool(hAPP_P845017029l_bool(member699351154t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,sK499(U_2462,U_2460)),sK500(U_2462,U_2460))),U_2462))
    | hBOOL(hAPP_f1314764175l_bool(hAPP_P845017029l_bool(member699351154t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,sK497(U_2462,U_2460)),sK498(U_2462,U_2460))),U_2460))
    | U_2460 = U_2462 ),
    inference(clausify,[status(thm)],[f_432_7]) ).

cnf(f_432_9,plain,
    ( ~ hBOOL(hAPP_f1314764175l_bool(hAPP_P845017029l_bool(member699351154t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,sK499(U_2462,U_2460)),sK500(U_2462,U_2460))),U_2460))
    | hBOOL(hAPP_f1314764175l_bool(hAPP_P845017029l_bool(member699351154t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,sK497(U_2462,U_2460)),sK498(U_2462,U_2460))),U_2460))
    | U_2460 = U_2462 ),
    inference(clausify,[status(thm)],[f_432_7]) ).

cnf(f_432_10,plain,
    ( hBOOL(hAPP_f1314764175l_bool(hAPP_P845017029l_bool(member699351154t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,sK499(U_2462,U_2460)),sK500(U_2462,U_2460))),U_2462))
    | ~ hBOOL(hAPP_f1314764175l_bool(hAPP_P845017029l_bool(member699351154t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,sK497(U_2462,U_2460)),sK498(U_2462,U_2460))),U_2462))
    | U_2460 = U_2462 ),
    inference(clausify,[status(thm)],[f_432_7]) ).

cnf(f_432_11,plain,
    ( ~ hBOOL(hAPP_f1314764175l_bool(hAPP_P845017029l_bool(member699351154t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,sK499(U_2462,U_2460)),sK500(U_2462,U_2460))),U_2460))
    | ~ hBOOL(hAPP_f1314764175l_bool(hAPP_P845017029l_bool(member699351154t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,sK497(U_2462,U_2460)),sK498(U_2462,U_2460))),U_2462))
    | U_2460 = U_2462 ),
    inference(clausify,[status(thm)],[f_432_7]) ).

cnf(f_432_12,plain,
    ( hBOOL(hAPP_f1314764175l_bool(hAPP_P845017029l_bool(member699351154t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_2458),U_2456)),U_2463))
    | ~ hBOOL(hAPP_f1314764175l_bool(hAPP_P845017029l_bool(member699351154t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_2458),U_2456)),U_2461))
    | U_2461 != U_2463 ),
    inference(clausify,[status(thm)],[f_432_7]) ).

cnf(f_432_13,plain,
    ( hBOOL(hAPP_f1314764175l_bool(hAPP_P845017029l_bool(member699351154t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_2459),U_2457)),U_2461))
    | ~ hBOOL(hAPP_f1314764175l_bool(hAPP_P845017029l_bool(member699351154t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_2459),U_2457)),U_2463))
    | U_2461 != U_2463 ),
    inference(clausify,[status(thm)],[f_432_7]) ).

fof(f_433_1,plain,
    ! [S_4,R_2] :
      ( ( ! [X_1,Xa] :
            ( ( hBOOL(hAPP_f2050077417l_bool(hAPP_P1517699917l_bool(member1771544038t_char,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,X_1),Xa)),R_2))
              | ~ hBOOL(hAPP_f2050077417l_bool(hAPP_P1517699917l_bool(member1771544038t_char,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,X_1),Xa)),S_4)) )
            & ( hBOOL(hAPP_f2050077417l_bool(hAPP_P1517699917l_bool(member1771544038t_char,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,X_1),Xa)),S_4))
              | ~ hBOOL(hAPP_f2050077417l_bool(hAPP_P1517699917l_bool(member1771544038t_char,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,X_1),Xa)),R_2)) ) )
        | R_2 != S_4 )
      & ( R_2 = S_4
        | ? [X_1,Xa] :
            ( ( ~ hBOOL(hAPP_f2050077417l_bool(hAPP_P1517699917l_bool(member1771544038t_char,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,X_1),Xa)),R_2))
              & hBOOL(hAPP_f2050077417l_bool(hAPP_P1517699917l_bool(member1771544038t_char,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,X_1),Xa)),S_4)) )
            | ( ~ hBOOL(hAPP_f2050077417l_bool(hAPP_P1517699917l_bool(member1771544038t_char,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,X_1),Xa)),S_4))
              & hBOOL(hAPP_f2050077417l_bool(hAPP_P1517699917l_bool(member1771544038t_char,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,X_1),Xa)),R_2)) ) ) ) ),
    inference(fof_nnf,[status(thm)],[fact_291_pred__equals__eq2]) ).

fof(f_433_2,plain,
    ! [U_2469,U_2468] :
      ( ( ! [U_2467,U_2466] :
            ( ( hBOOL(hAPP_f2050077417l_bool(hAPP_P1517699917l_bool(member1771544038t_char,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_2467),U_2466)),U_2468))
              | ~ hBOOL(hAPP_f2050077417l_bool(hAPP_P1517699917l_bool(member1771544038t_char,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_2467),U_2466)),U_2469)) )
            & ( hBOOL(hAPP_f2050077417l_bool(hAPP_P1517699917l_bool(member1771544038t_char,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_2467),U_2466)),U_2469))
              | ~ hBOOL(hAPP_f2050077417l_bool(hAPP_P1517699917l_bool(member1771544038t_char,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_2467),U_2466)),U_2468)) ) )
        | U_2468 != U_2469 )
      & ( U_2468 = U_2469
        | ? [U_2465,U_2464] :
            ( ( ~ hBOOL(hAPP_f2050077417l_bool(hAPP_P1517699917l_bool(member1771544038t_char,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_2465),U_2464)),U_2468))
              & hBOOL(hAPP_f2050077417l_bool(hAPP_P1517699917l_bool(member1771544038t_char,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_2465),U_2464)),U_2469)) )
            | ( ~ hBOOL(hAPP_f2050077417l_bool(hAPP_P1517699917l_bool(member1771544038t_char,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_2465),U_2464)),U_2469))
              & hBOOL(hAPP_f2050077417l_bool(hAPP_P1517699917l_bool(member1771544038t_char,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_2465),U_2464)),U_2468)) ) ) ) ),
    inference(variable_rename,[status(thm)],[f_433_1]) ).

fof(f_433_3,plain,
    ( ! [U_2481,U_2479] :
        ( ( ! [U_2477,U_2475] :
              ( hBOOL(hAPP_f2050077417l_bool(hAPP_P1517699917l_bool(member1771544038t_char,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_2477),U_2475)),U_2479))
              | ~ hBOOL(hAPP_f2050077417l_bool(hAPP_P1517699917l_bool(member1771544038t_char,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_2477),U_2475)),U_2481)) )
          & ! [U_2476,U_2474] :
              ( hBOOL(hAPP_f2050077417l_bool(hAPP_P1517699917l_bool(member1771544038t_char,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_2476),U_2474)),U_2481))
              | ~ hBOOL(hAPP_f2050077417l_bool(hAPP_P1517699917l_bool(member1771544038t_char,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_2476),U_2474)),U_2479)) ) )
        | U_2479 != U_2481 )
    & ! [U_2480,U_2478] :
        ( U_2478 = U_2480
        | ? [U_2473,U_2471] :
            ( ~ hBOOL(hAPP_f2050077417l_bool(hAPP_P1517699917l_bool(member1771544038t_char,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_2473),U_2471)),U_2478))
            & hBOOL(hAPP_f2050077417l_bool(hAPP_P1517699917l_bool(member1771544038t_char,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_2473),U_2471)),U_2480)) )
        | ? [U_2472,U_2470] :
            ( ~ hBOOL(hAPP_f2050077417l_bool(hAPP_P1517699917l_bool(member1771544038t_char,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_2472),U_2470)),U_2480))
            & hBOOL(hAPP_f2050077417l_bool(hAPP_P1517699917l_bool(member1771544038t_char,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_2472),U_2470)),U_2478)) ) ) ),
    inference(miniscope,[status(thm)],[f_433_2]) ).

fof(f_433_4,plain,
    ( ! [U_2481,U_2479] :
        ( ( ! [U_2477,U_2475] :
              ( hBOOL(hAPP_f2050077417l_bool(hAPP_P1517699917l_bool(member1771544038t_char,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_2477),U_2475)),U_2479))
              | ~ hBOOL(hAPP_f2050077417l_bool(hAPP_P1517699917l_bool(member1771544038t_char,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_2477),U_2475)),U_2481)) )
          & ! [U_2476,U_2474] :
              ( hBOOL(hAPP_f2050077417l_bool(hAPP_P1517699917l_bool(member1771544038t_char,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_2476),U_2474)),U_2481))
              | ~ hBOOL(hAPP_f2050077417l_bool(hAPP_P1517699917l_bool(member1771544038t_char,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_2476),U_2474)),U_2479)) ) )
        | U_2479 != U_2481 )
    & ! [U_2480,U_2478] :
        ( U_2478 = U_2480
        | ? [U_2473,U_2471] :
            ( ~ hBOOL(hAPP_f2050077417l_bool(hAPP_P1517699917l_bool(member1771544038t_char,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_2473),U_2471)),U_2478))
            & hBOOL(hAPP_f2050077417l_bool(hAPP_P1517699917l_bool(member1771544038t_char,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_2473),U_2471)),U_2480)) )
        | ? [U_2470] :
            ( ~ hBOOL(hAPP_f2050077417l_bool(hAPP_P1517699917l_bool(member1771544038t_char,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,sK501(U_2480,U_2478)),U_2470)),U_2480))
            & hBOOL(hAPP_f2050077417l_bool(hAPP_P1517699917l_bool(member1771544038t_char,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,sK501(U_2480,U_2478)),U_2470)),U_2478)) ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK501]),skolemize(U_2472,sK501(U_2480,U_2478))],[f_433_3]) ).

fof(f_433_5,plain,
    ( ! [U_2481,U_2479] :
        ( ( ! [U_2477,U_2475] :
              ( hBOOL(hAPP_f2050077417l_bool(hAPP_P1517699917l_bool(member1771544038t_char,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_2477),U_2475)),U_2479))
              | ~ hBOOL(hAPP_f2050077417l_bool(hAPP_P1517699917l_bool(member1771544038t_char,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_2477),U_2475)),U_2481)) )
          & ! [U_2476,U_2474] :
              ( hBOOL(hAPP_f2050077417l_bool(hAPP_P1517699917l_bool(member1771544038t_char,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_2476),U_2474)),U_2481))
              | ~ hBOOL(hAPP_f2050077417l_bool(hAPP_P1517699917l_bool(member1771544038t_char,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_2476),U_2474)),U_2479)) ) )
        | U_2479 != U_2481 )
    & ! [U_2480,U_2478] :
        ( U_2478 = U_2480
        | ? [U_2473,U_2471] :
            ( ~ hBOOL(hAPP_f2050077417l_bool(hAPP_P1517699917l_bool(member1771544038t_char,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_2473),U_2471)),U_2478))
            & hBOOL(hAPP_f2050077417l_bool(hAPP_P1517699917l_bool(member1771544038t_char,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_2473),U_2471)),U_2480)) )
        | ( ~ hBOOL(hAPP_f2050077417l_bool(hAPP_P1517699917l_bool(member1771544038t_char,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,sK501(U_2480,U_2478)),sK502(U_2480,U_2478))),U_2480))
          & hBOOL(hAPP_f2050077417l_bool(hAPP_P1517699917l_bool(member1771544038t_char,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,sK501(U_2480,U_2478)),sK502(U_2480,U_2478))),U_2478)) ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK502]),skolemize(U_2470,sK502(U_2480,U_2478))],[f_433_4]) ).

fof(f_433_6,plain,
    ( ! [U_2481,U_2479] :
        ( ( ! [U_2477,U_2475] :
              ( hBOOL(hAPP_f2050077417l_bool(hAPP_P1517699917l_bool(member1771544038t_char,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_2477),U_2475)),U_2479))
              | ~ hBOOL(hAPP_f2050077417l_bool(hAPP_P1517699917l_bool(member1771544038t_char,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_2477),U_2475)),U_2481)) )
          & ! [U_2476,U_2474] :
              ( hBOOL(hAPP_f2050077417l_bool(hAPP_P1517699917l_bool(member1771544038t_char,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_2476),U_2474)),U_2481))
              | ~ hBOOL(hAPP_f2050077417l_bool(hAPP_P1517699917l_bool(member1771544038t_char,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_2476),U_2474)),U_2479)) ) )
        | U_2479 != U_2481 )
    & ! [U_2480,U_2478] :
        ( U_2478 = U_2480
        | ? [U_2471] :
            ( ~ hBOOL(hAPP_f2050077417l_bool(hAPP_P1517699917l_bool(member1771544038t_char,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,sK503(U_2480,U_2478)),U_2471)),U_2478))
            & hBOOL(hAPP_f2050077417l_bool(hAPP_P1517699917l_bool(member1771544038t_char,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,sK503(U_2480,U_2478)),U_2471)),U_2480)) )
        | ( ~ hBOOL(hAPP_f2050077417l_bool(hAPP_P1517699917l_bool(member1771544038t_char,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,sK501(U_2480,U_2478)),sK502(U_2480,U_2478))),U_2480))
          & hBOOL(hAPP_f2050077417l_bool(hAPP_P1517699917l_bool(member1771544038t_char,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,sK501(U_2480,U_2478)),sK502(U_2480,U_2478))),U_2478)) ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK503]),skolemize(U_2473,sK503(U_2480,U_2478))],[f_433_5]) ).

fof(f_433_7,plain,
    ( ! [U_2481,U_2479] :
        ( ( ! [U_2477,U_2475] :
              ( hBOOL(hAPP_f2050077417l_bool(hAPP_P1517699917l_bool(member1771544038t_char,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_2477),U_2475)),U_2479))
              | ~ hBOOL(hAPP_f2050077417l_bool(hAPP_P1517699917l_bool(member1771544038t_char,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_2477),U_2475)),U_2481)) )
          & ! [U_2476,U_2474] :
              ( hBOOL(hAPP_f2050077417l_bool(hAPP_P1517699917l_bool(member1771544038t_char,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_2476),U_2474)),U_2481))
              | ~ hBOOL(hAPP_f2050077417l_bool(hAPP_P1517699917l_bool(member1771544038t_char,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_2476),U_2474)),U_2479)) ) )
        | U_2479 != U_2481 )
    & ! [U_2480,U_2478] :
        ( U_2478 = U_2480
        | ( ~ hBOOL(hAPP_f2050077417l_bool(hAPP_P1517699917l_bool(member1771544038t_char,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,sK503(U_2480,U_2478)),sK504(U_2480,U_2478))),U_2478))
          & hBOOL(hAPP_f2050077417l_bool(hAPP_P1517699917l_bool(member1771544038t_char,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,sK503(U_2480,U_2478)),sK504(U_2480,U_2478))),U_2480)) )
        | ( ~ hBOOL(hAPP_f2050077417l_bool(hAPP_P1517699917l_bool(member1771544038t_char,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,sK501(U_2480,U_2478)),sK502(U_2480,U_2478))),U_2480))
          & hBOOL(hAPP_f2050077417l_bool(hAPP_P1517699917l_bool(member1771544038t_char,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,sK501(U_2480,U_2478)),sK502(U_2480,U_2478))),U_2478)) ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK504]),skolemize(U_2471,sK504(U_2480,U_2478))],[f_433_6]) ).

cnf(f_433_8,plain,
    ( hBOOL(hAPP_f2050077417l_bool(hAPP_P1517699917l_bool(member1771544038t_char,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,sK503(U_2480,U_2478)),sK504(U_2480,U_2478))),U_2480))
    | hBOOL(hAPP_f2050077417l_bool(hAPP_P1517699917l_bool(member1771544038t_char,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,sK501(U_2480,U_2478)),sK502(U_2480,U_2478))),U_2478))
    | U_2478 = U_2480 ),
    inference(clausify,[status(thm)],[f_433_7]) ).

cnf(f_433_9,plain,
    ( ~ hBOOL(hAPP_f2050077417l_bool(hAPP_P1517699917l_bool(member1771544038t_char,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,sK503(U_2480,U_2478)),sK504(U_2480,U_2478))),U_2478))
    | hBOOL(hAPP_f2050077417l_bool(hAPP_P1517699917l_bool(member1771544038t_char,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,sK501(U_2480,U_2478)),sK502(U_2480,U_2478))),U_2478))
    | U_2478 = U_2480 ),
    inference(clausify,[status(thm)],[f_433_7]) ).

cnf(f_433_10,plain,
    ( hBOOL(hAPP_f2050077417l_bool(hAPP_P1517699917l_bool(member1771544038t_char,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,sK503(U_2480,U_2478)),sK504(U_2480,U_2478))),U_2480))
    | ~ hBOOL(hAPP_f2050077417l_bool(hAPP_P1517699917l_bool(member1771544038t_char,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,sK501(U_2480,U_2478)),sK502(U_2480,U_2478))),U_2480))
    | U_2478 = U_2480 ),
    inference(clausify,[status(thm)],[f_433_7]) ).

cnf(f_433_11,plain,
    ( ~ hBOOL(hAPP_f2050077417l_bool(hAPP_P1517699917l_bool(member1771544038t_char,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,sK503(U_2480,U_2478)),sK504(U_2480,U_2478))),U_2478))
    | ~ hBOOL(hAPP_f2050077417l_bool(hAPP_P1517699917l_bool(member1771544038t_char,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,sK501(U_2480,U_2478)),sK502(U_2480,U_2478))),U_2480))
    | U_2478 = U_2480 ),
    inference(clausify,[status(thm)],[f_433_7]) ).

cnf(f_433_12,plain,
    ( hBOOL(hAPP_f2050077417l_bool(hAPP_P1517699917l_bool(member1771544038t_char,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_2476),U_2474)),U_2481))
    | ~ hBOOL(hAPP_f2050077417l_bool(hAPP_P1517699917l_bool(member1771544038t_char,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_2476),U_2474)),U_2479))
    | U_2479 != U_2481 ),
    inference(clausify,[status(thm)],[f_433_7]) ).

cnf(f_433_13,plain,
    ( hBOOL(hAPP_f2050077417l_bool(hAPP_P1517699917l_bool(member1771544038t_char,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_2477),U_2475)),U_2479))
    | ~ hBOOL(hAPP_f2050077417l_bool(hAPP_P1517699917l_bool(member1771544038t_char,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_2477),U_2475)),U_2481))
    | U_2479 != U_2481 ),
    inference(clausify,[status(thm)],[f_433_7]) ).

fof(f_434_1,plain,
    ! [S_4,R_2] :
      ( ( ! [X_1,Xa] :
            ( ( hBOOL(hAPP_f1161798306l_bool(hAPP_P1327510541l_bool(member1379348767t_char,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,X_1),Xa)),R_2))
              | ~ hBOOL(hAPP_f1161798306l_bool(hAPP_P1327510541l_bool(member1379348767t_char,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,X_1),Xa)),S_4)) )
            & ( hBOOL(hAPP_f1161798306l_bool(hAPP_P1327510541l_bool(member1379348767t_char,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,X_1),Xa)),S_4))
              | ~ hBOOL(hAPP_f1161798306l_bool(hAPP_P1327510541l_bool(member1379348767t_char,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,X_1),Xa)),R_2)) ) )
        | R_2 != S_4 )
      & ( R_2 = S_4
        | ? [X_1,Xa] :
            ( ( ~ hBOOL(hAPP_f1161798306l_bool(hAPP_P1327510541l_bool(member1379348767t_char,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,X_1),Xa)),R_2))
              & hBOOL(hAPP_f1161798306l_bool(hAPP_P1327510541l_bool(member1379348767t_char,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,X_1),Xa)),S_4)) )
            | ( ~ hBOOL(hAPP_f1161798306l_bool(hAPP_P1327510541l_bool(member1379348767t_char,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,X_1),Xa)),S_4))
              & hBOOL(hAPP_f1161798306l_bool(hAPP_P1327510541l_bool(member1379348767t_char,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,X_1),Xa)),R_2)) ) ) ) ),
    inference(fof_nnf,[status(thm)],[fact_292_pred__equals__eq2]) ).

fof(f_434_2,plain,
    ! [U_2487,U_2486] :
      ( ( ! [U_2485,U_2484] :
            ( ( hBOOL(hAPP_f1161798306l_bool(hAPP_P1327510541l_bool(member1379348767t_char,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_2485),U_2484)),U_2486))
              | ~ hBOOL(hAPP_f1161798306l_bool(hAPP_P1327510541l_bool(member1379348767t_char,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_2485),U_2484)),U_2487)) )
            & ( hBOOL(hAPP_f1161798306l_bool(hAPP_P1327510541l_bool(member1379348767t_char,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_2485),U_2484)),U_2487))
              | ~ hBOOL(hAPP_f1161798306l_bool(hAPP_P1327510541l_bool(member1379348767t_char,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_2485),U_2484)),U_2486)) ) )
        | U_2486 != U_2487 )
      & ( U_2486 = U_2487
        | ? [U_2483,U_2482] :
            ( ( ~ hBOOL(hAPP_f1161798306l_bool(hAPP_P1327510541l_bool(member1379348767t_char,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_2483),U_2482)),U_2486))
              & hBOOL(hAPP_f1161798306l_bool(hAPP_P1327510541l_bool(member1379348767t_char,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_2483),U_2482)),U_2487)) )
            | ( ~ hBOOL(hAPP_f1161798306l_bool(hAPP_P1327510541l_bool(member1379348767t_char,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_2483),U_2482)),U_2487))
              & hBOOL(hAPP_f1161798306l_bool(hAPP_P1327510541l_bool(member1379348767t_char,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_2483),U_2482)),U_2486)) ) ) ) ),
    inference(variable_rename,[status(thm)],[f_434_1]) ).

fof(f_434_3,plain,
    ( ! [U_2499,U_2497] :
        ( ( ! [U_2495,U_2493] :
              ( hBOOL(hAPP_f1161798306l_bool(hAPP_P1327510541l_bool(member1379348767t_char,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_2495),U_2493)),U_2497))
              | ~ hBOOL(hAPP_f1161798306l_bool(hAPP_P1327510541l_bool(member1379348767t_char,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_2495),U_2493)),U_2499)) )
          & ! [U_2494,U_2492] :
              ( hBOOL(hAPP_f1161798306l_bool(hAPP_P1327510541l_bool(member1379348767t_char,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_2494),U_2492)),U_2499))
              | ~ hBOOL(hAPP_f1161798306l_bool(hAPP_P1327510541l_bool(member1379348767t_char,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_2494),U_2492)),U_2497)) ) )
        | U_2497 != U_2499 )
    & ! [U_2498,U_2496] :
        ( U_2496 = U_2498
        | ? [U_2491,U_2489] :
            ( ~ hBOOL(hAPP_f1161798306l_bool(hAPP_P1327510541l_bool(member1379348767t_char,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_2491),U_2489)),U_2496))
            & hBOOL(hAPP_f1161798306l_bool(hAPP_P1327510541l_bool(member1379348767t_char,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_2491),U_2489)),U_2498)) )
        | ? [U_2490,U_2488] :
            ( ~ hBOOL(hAPP_f1161798306l_bool(hAPP_P1327510541l_bool(member1379348767t_char,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_2490),U_2488)),U_2498))
            & hBOOL(hAPP_f1161798306l_bool(hAPP_P1327510541l_bool(member1379348767t_char,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_2490),U_2488)),U_2496)) ) ) ),
    inference(miniscope,[status(thm)],[f_434_2]) ).

fof(f_434_4,plain,
    ( ! [U_2499,U_2497] :
        ( ( ! [U_2495,U_2493] :
              ( hBOOL(hAPP_f1161798306l_bool(hAPP_P1327510541l_bool(member1379348767t_char,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_2495),U_2493)),U_2497))
              | ~ hBOOL(hAPP_f1161798306l_bool(hAPP_P1327510541l_bool(member1379348767t_char,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_2495),U_2493)),U_2499)) )
          & ! [U_2494,U_2492] :
              ( hBOOL(hAPP_f1161798306l_bool(hAPP_P1327510541l_bool(member1379348767t_char,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_2494),U_2492)),U_2499))
              | ~ hBOOL(hAPP_f1161798306l_bool(hAPP_P1327510541l_bool(member1379348767t_char,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_2494),U_2492)),U_2497)) ) )
        | U_2497 != U_2499 )
    & ! [U_2498,U_2496] :
        ( U_2496 = U_2498
        | ? [U_2491,U_2489] :
            ( ~ hBOOL(hAPP_f1161798306l_bool(hAPP_P1327510541l_bool(member1379348767t_char,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_2491),U_2489)),U_2496))
            & hBOOL(hAPP_f1161798306l_bool(hAPP_P1327510541l_bool(member1379348767t_char,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_2491),U_2489)),U_2498)) )
        | ? [U_2488] :
            ( ~ hBOOL(hAPP_f1161798306l_bool(hAPP_P1327510541l_bool(member1379348767t_char,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,sK505(U_2498,U_2496)),U_2488)),U_2498))
            & hBOOL(hAPP_f1161798306l_bool(hAPP_P1327510541l_bool(member1379348767t_char,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,sK505(U_2498,U_2496)),U_2488)),U_2496)) ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK505]),skolemize(U_2490,sK505(U_2498,U_2496))],[f_434_3]) ).

fof(f_434_5,plain,
    ( ! [U_2499,U_2497] :
        ( ( ! [U_2495,U_2493] :
              ( hBOOL(hAPP_f1161798306l_bool(hAPP_P1327510541l_bool(member1379348767t_char,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_2495),U_2493)),U_2497))
              | ~ hBOOL(hAPP_f1161798306l_bool(hAPP_P1327510541l_bool(member1379348767t_char,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_2495),U_2493)),U_2499)) )
          & ! [U_2494,U_2492] :
              ( hBOOL(hAPP_f1161798306l_bool(hAPP_P1327510541l_bool(member1379348767t_char,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_2494),U_2492)),U_2499))
              | ~ hBOOL(hAPP_f1161798306l_bool(hAPP_P1327510541l_bool(member1379348767t_char,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_2494),U_2492)),U_2497)) ) )
        | U_2497 != U_2499 )
    & ! [U_2498,U_2496] :
        ( U_2496 = U_2498
        | ? [U_2491,U_2489] :
            ( ~ hBOOL(hAPP_f1161798306l_bool(hAPP_P1327510541l_bool(member1379348767t_char,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_2491),U_2489)),U_2496))
            & hBOOL(hAPP_f1161798306l_bool(hAPP_P1327510541l_bool(member1379348767t_char,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_2491),U_2489)),U_2498)) )
        | ( ~ hBOOL(hAPP_f1161798306l_bool(hAPP_P1327510541l_bool(member1379348767t_char,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,sK505(U_2498,U_2496)),sK506(U_2498,U_2496))),U_2498))
          & hBOOL(hAPP_f1161798306l_bool(hAPP_P1327510541l_bool(member1379348767t_char,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,sK505(U_2498,U_2496)),sK506(U_2498,U_2496))),U_2496)) ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK506]),skolemize(U_2488,sK506(U_2498,U_2496))],[f_434_4]) ).

fof(f_434_6,plain,
    ( ! [U_2499,U_2497] :
        ( ( ! [U_2495,U_2493] :
              ( hBOOL(hAPP_f1161798306l_bool(hAPP_P1327510541l_bool(member1379348767t_char,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_2495),U_2493)),U_2497))
              | ~ hBOOL(hAPP_f1161798306l_bool(hAPP_P1327510541l_bool(member1379348767t_char,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_2495),U_2493)),U_2499)) )
          & ! [U_2494,U_2492] :
              ( hBOOL(hAPP_f1161798306l_bool(hAPP_P1327510541l_bool(member1379348767t_char,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_2494),U_2492)),U_2499))
              | ~ hBOOL(hAPP_f1161798306l_bool(hAPP_P1327510541l_bool(member1379348767t_char,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_2494),U_2492)),U_2497)) ) )
        | U_2497 != U_2499 )
    & ! [U_2498,U_2496] :
        ( U_2496 = U_2498
        | ? [U_2489] :
            ( ~ hBOOL(hAPP_f1161798306l_bool(hAPP_P1327510541l_bool(member1379348767t_char,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,sK507(U_2498,U_2496)),U_2489)),U_2496))
            & hBOOL(hAPP_f1161798306l_bool(hAPP_P1327510541l_bool(member1379348767t_char,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,sK507(U_2498,U_2496)),U_2489)),U_2498)) )
        | ( ~ hBOOL(hAPP_f1161798306l_bool(hAPP_P1327510541l_bool(member1379348767t_char,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,sK505(U_2498,U_2496)),sK506(U_2498,U_2496))),U_2498))
          & hBOOL(hAPP_f1161798306l_bool(hAPP_P1327510541l_bool(member1379348767t_char,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,sK505(U_2498,U_2496)),sK506(U_2498,U_2496))),U_2496)) ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK507]),skolemize(U_2491,sK507(U_2498,U_2496))],[f_434_5]) ).

fof(f_434_7,plain,
    ( ! [U_2499,U_2497] :
        ( ( ! [U_2495,U_2493] :
              ( hBOOL(hAPP_f1161798306l_bool(hAPP_P1327510541l_bool(member1379348767t_char,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_2495),U_2493)),U_2497))
              | ~ hBOOL(hAPP_f1161798306l_bool(hAPP_P1327510541l_bool(member1379348767t_char,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_2495),U_2493)),U_2499)) )
          & ! [U_2494,U_2492] :
              ( hBOOL(hAPP_f1161798306l_bool(hAPP_P1327510541l_bool(member1379348767t_char,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_2494),U_2492)),U_2499))
              | ~ hBOOL(hAPP_f1161798306l_bool(hAPP_P1327510541l_bool(member1379348767t_char,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_2494),U_2492)),U_2497)) ) )
        | U_2497 != U_2499 )
    & ! [U_2498,U_2496] :
        ( U_2496 = U_2498
        | ( ~ hBOOL(hAPP_f1161798306l_bool(hAPP_P1327510541l_bool(member1379348767t_char,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,sK507(U_2498,U_2496)),sK508(U_2498,U_2496))),U_2496))
          & hBOOL(hAPP_f1161798306l_bool(hAPP_P1327510541l_bool(member1379348767t_char,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,sK507(U_2498,U_2496)),sK508(U_2498,U_2496))),U_2498)) )
        | ( ~ hBOOL(hAPP_f1161798306l_bool(hAPP_P1327510541l_bool(member1379348767t_char,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,sK505(U_2498,U_2496)),sK506(U_2498,U_2496))),U_2498))
          & hBOOL(hAPP_f1161798306l_bool(hAPP_P1327510541l_bool(member1379348767t_char,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,sK505(U_2498,U_2496)),sK506(U_2498,U_2496))),U_2496)) ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK508]),skolemize(U_2489,sK508(U_2498,U_2496))],[f_434_6]) ).

cnf(f_434_8,plain,
    ( hBOOL(hAPP_f1161798306l_bool(hAPP_P1327510541l_bool(member1379348767t_char,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,sK507(U_2498,U_2496)),sK508(U_2498,U_2496))),U_2498))
    | hBOOL(hAPP_f1161798306l_bool(hAPP_P1327510541l_bool(member1379348767t_char,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,sK505(U_2498,U_2496)),sK506(U_2498,U_2496))),U_2496))
    | U_2496 = U_2498 ),
    inference(clausify,[status(thm)],[f_434_7]) ).

cnf(f_434_9,plain,
    ( ~ hBOOL(hAPP_f1161798306l_bool(hAPP_P1327510541l_bool(member1379348767t_char,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,sK507(U_2498,U_2496)),sK508(U_2498,U_2496))),U_2496))
    | hBOOL(hAPP_f1161798306l_bool(hAPP_P1327510541l_bool(member1379348767t_char,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,sK505(U_2498,U_2496)),sK506(U_2498,U_2496))),U_2496))
    | U_2496 = U_2498 ),
    inference(clausify,[status(thm)],[f_434_7]) ).

cnf(f_434_10,plain,
    ( hBOOL(hAPP_f1161798306l_bool(hAPP_P1327510541l_bool(member1379348767t_char,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,sK507(U_2498,U_2496)),sK508(U_2498,U_2496))),U_2498))
    | ~ hBOOL(hAPP_f1161798306l_bool(hAPP_P1327510541l_bool(member1379348767t_char,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,sK505(U_2498,U_2496)),sK506(U_2498,U_2496))),U_2498))
    | U_2496 = U_2498 ),
    inference(clausify,[status(thm)],[f_434_7]) ).

cnf(f_434_11,plain,
    ( ~ hBOOL(hAPP_f1161798306l_bool(hAPP_P1327510541l_bool(member1379348767t_char,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,sK507(U_2498,U_2496)),sK508(U_2498,U_2496))),U_2496))
    | ~ hBOOL(hAPP_f1161798306l_bool(hAPP_P1327510541l_bool(member1379348767t_char,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,sK505(U_2498,U_2496)),sK506(U_2498,U_2496))),U_2498))
    | U_2496 = U_2498 ),
    inference(clausify,[status(thm)],[f_434_7]) ).

cnf(f_434_12,plain,
    ( hBOOL(hAPP_f1161798306l_bool(hAPP_P1327510541l_bool(member1379348767t_char,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_2494),U_2492)),U_2499))
    | ~ hBOOL(hAPP_f1161798306l_bool(hAPP_P1327510541l_bool(member1379348767t_char,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_2494),U_2492)),U_2497))
    | U_2497 != U_2499 ),
    inference(clausify,[status(thm)],[f_434_7]) ).

cnf(f_434_13,plain,
    ( hBOOL(hAPP_f1161798306l_bool(hAPP_P1327510541l_bool(member1379348767t_char,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_2495),U_2493)),U_2497))
    | ~ hBOOL(hAPP_f1161798306l_bool(hAPP_P1327510541l_bool(member1379348767t_char,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_2495),U_2493)),U_2499))
    | U_2497 != U_2499 ),
    inference(clausify,[status(thm)],[f_434_7]) ).

fof(f_435_1,plain,
    ! [S_4,R_2] :
      ( ( ! [X_1,Xa] :
            ( ( hBOOL(hAPP_f82569901l_bool(hAPP_P1293136973l_bool(member1840112042t_char,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,X_1),Xa)),R_2))
              | ~ hBOOL(hAPP_f82569901l_bool(hAPP_P1293136973l_bool(member1840112042t_char,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,X_1),Xa)),S_4)) )
            & ( hBOOL(hAPP_f82569901l_bool(hAPP_P1293136973l_bool(member1840112042t_char,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,X_1),Xa)),S_4))
              | ~ hBOOL(hAPP_f82569901l_bool(hAPP_P1293136973l_bool(member1840112042t_char,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,X_1),Xa)),R_2)) ) )
        | R_2 != S_4 )
      & ( R_2 = S_4
        | ? [X_1,Xa] :
            ( ( ~ hBOOL(hAPP_f82569901l_bool(hAPP_P1293136973l_bool(member1840112042t_char,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,X_1),Xa)),R_2))
              & hBOOL(hAPP_f82569901l_bool(hAPP_P1293136973l_bool(member1840112042t_char,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,X_1),Xa)),S_4)) )
            | ( ~ hBOOL(hAPP_f82569901l_bool(hAPP_P1293136973l_bool(member1840112042t_char,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,X_1),Xa)),S_4))
              & hBOOL(hAPP_f82569901l_bool(hAPP_P1293136973l_bool(member1840112042t_char,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,X_1),Xa)),R_2)) ) ) ) ),
    inference(fof_nnf,[status(thm)],[fact_293_pred__equals__eq2]) ).

fof(f_435_2,plain,
    ! [U_2505,U_2504] :
      ( ( ! [U_2503,U_2502] :
            ( ( hBOOL(hAPP_f82569901l_bool(hAPP_P1293136973l_bool(member1840112042t_char,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_2503),U_2502)),U_2504))
              | ~ hBOOL(hAPP_f82569901l_bool(hAPP_P1293136973l_bool(member1840112042t_char,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_2503),U_2502)),U_2505)) )
            & ( hBOOL(hAPP_f82569901l_bool(hAPP_P1293136973l_bool(member1840112042t_char,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_2503),U_2502)),U_2505))
              | ~ hBOOL(hAPP_f82569901l_bool(hAPP_P1293136973l_bool(member1840112042t_char,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_2503),U_2502)),U_2504)) ) )
        | U_2504 != U_2505 )
      & ( U_2504 = U_2505
        | ? [U_2501,U_2500] :
            ( ( ~ hBOOL(hAPP_f82569901l_bool(hAPP_P1293136973l_bool(member1840112042t_char,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_2501),U_2500)),U_2504))
              & hBOOL(hAPP_f82569901l_bool(hAPP_P1293136973l_bool(member1840112042t_char,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_2501),U_2500)),U_2505)) )
            | ( ~ hBOOL(hAPP_f82569901l_bool(hAPP_P1293136973l_bool(member1840112042t_char,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_2501),U_2500)),U_2505))
              & hBOOL(hAPP_f82569901l_bool(hAPP_P1293136973l_bool(member1840112042t_char,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_2501),U_2500)),U_2504)) ) ) ) ),
    inference(variable_rename,[status(thm)],[f_435_1]) ).

fof(f_435_3,plain,
    ( ! [U_2517,U_2515] :
        ( ( ! [U_2513,U_2511] :
              ( hBOOL(hAPP_f82569901l_bool(hAPP_P1293136973l_bool(member1840112042t_char,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_2513),U_2511)),U_2515))
              | ~ hBOOL(hAPP_f82569901l_bool(hAPP_P1293136973l_bool(member1840112042t_char,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_2513),U_2511)),U_2517)) )
          & ! [U_2512,U_2510] :
              ( hBOOL(hAPP_f82569901l_bool(hAPP_P1293136973l_bool(member1840112042t_char,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_2512),U_2510)),U_2517))
              | ~ hBOOL(hAPP_f82569901l_bool(hAPP_P1293136973l_bool(member1840112042t_char,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_2512),U_2510)),U_2515)) ) )
        | U_2515 != U_2517 )
    & ! [U_2516,U_2514] :
        ( U_2514 = U_2516
        | ? [U_2509,U_2507] :
            ( ~ hBOOL(hAPP_f82569901l_bool(hAPP_P1293136973l_bool(member1840112042t_char,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_2509),U_2507)),U_2514))
            & hBOOL(hAPP_f82569901l_bool(hAPP_P1293136973l_bool(member1840112042t_char,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_2509),U_2507)),U_2516)) )
        | ? [U_2508,U_2506] :
            ( ~ hBOOL(hAPP_f82569901l_bool(hAPP_P1293136973l_bool(member1840112042t_char,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_2508),U_2506)),U_2516))
            & hBOOL(hAPP_f82569901l_bool(hAPP_P1293136973l_bool(member1840112042t_char,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_2508),U_2506)),U_2514)) ) ) ),
    inference(miniscope,[status(thm)],[f_435_2]) ).

fof(f_435_4,plain,
    ( ! [U_2517,U_2515] :
        ( ( ! [U_2513,U_2511] :
              ( hBOOL(hAPP_f82569901l_bool(hAPP_P1293136973l_bool(member1840112042t_char,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_2513),U_2511)),U_2515))
              | ~ hBOOL(hAPP_f82569901l_bool(hAPP_P1293136973l_bool(member1840112042t_char,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_2513),U_2511)),U_2517)) )
          & ! [U_2512,U_2510] :
              ( hBOOL(hAPP_f82569901l_bool(hAPP_P1293136973l_bool(member1840112042t_char,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_2512),U_2510)),U_2517))
              | ~ hBOOL(hAPP_f82569901l_bool(hAPP_P1293136973l_bool(member1840112042t_char,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_2512),U_2510)),U_2515)) ) )
        | U_2515 != U_2517 )
    & ! [U_2516,U_2514] :
        ( U_2514 = U_2516
        | ? [U_2509,U_2507] :
            ( ~ hBOOL(hAPP_f82569901l_bool(hAPP_P1293136973l_bool(member1840112042t_char,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_2509),U_2507)),U_2514))
            & hBOOL(hAPP_f82569901l_bool(hAPP_P1293136973l_bool(member1840112042t_char,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_2509),U_2507)),U_2516)) )
        | ? [U_2506] :
            ( ~ hBOOL(hAPP_f82569901l_bool(hAPP_P1293136973l_bool(member1840112042t_char,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,sK509(U_2516,U_2514)),U_2506)),U_2516))
            & hBOOL(hAPP_f82569901l_bool(hAPP_P1293136973l_bool(member1840112042t_char,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,sK509(U_2516,U_2514)),U_2506)),U_2514)) ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK509]),skolemize(U_2508,sK509(U_2516,U_2514))],[f_435_3]) ).

fof(f_435_5,plain,
    ( ! [U_2517,U_2515] :
        ( ( ! [U_2513,U_2511] :
              ( hBOOL(hAPP_f82569901l_bool(hAPP_P1293136973l_bool(member1840112042t_char,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_2513),U_2511)),U_2515))
              | ~ hBOOL(hAPP_f82569901l_bool(hAPP_P1293136973l_bool(member1840112042t_char,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_2513),U_2511)),U_2517)) )
          & ! [U_2512,U_2510] :
              ( hBOOL(hAPP_f82569901l_bool(hAPP_P1293136973l_bool(member1840112042t_char,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_2512),U_2510)),U_2517))
              | ~ hBOOL(hAPP_f82569901l_bool(hAPP_P1293136973l_bool(member1840112042t_char,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_2512),U_2510)),U_2515)) ) )
        | U_2515 != U_2517 )
    & ! [U_2516,U_2514] :
        ( U_2514 = U_2516
        | ? [U_2509,U_2507] :
            ( ~ hBOOL(hAPP_f82569901l_bool(hAPP_P1293136973l_bool(member1840112042t_char,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_2509),U_2507)),U_2514))
            & hBOOL(hAPP_f82569901l_bool(hAPP_P1293136973l_bool(member1840112042t_char,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_2509),U_2507)),U_2516)) )
        | ( ~ hBOOL(hAPP_f82569901l_bool(hAPP_P1293136973l_bool(member1840112042t_char,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,sK509(U_2516,U_2514)),sK510(U_2516,U_2514))),U_2516))
          & hBOOL(hAPP_f82569901l_bool(hAPP_P1293136973l_bool(member1840112042t_char,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,sK509(U_2516,U_2514)),sK510(U_2516,U_2514))),U_2514)) ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK510]),skolemize(U_2506,sK510(U_2516,U_2514))],[f_435_4]) ).

fof(f_435_6,plain,
    ( ! [U_2517,U_2515] :
        ( ( ! [U_2513,U_2511] :
              ( hBOOL(hAPP_f82569901l_bool(hAPP_P1293136973l_bool(member1840112042t_char,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_2513),U_2511)),U_2515))
              | ~ hBOOL(hAPP_f82569901l_bool(hAPP_P1293136973l_bool(member1840112042t_char,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_2513),U_2511)),U_2517)) )
          & ! [U_2512,U_2510] :
              ( hBOOL(hAPP_f82569901l_bool(hAPP_P1293136973l_bool(member1840112042t_char,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_2512),U_2510)),U_2517))
              | ~ hBOOL(hAPP_f82569901l_bool(hAPP_P1293136973l_bool(member1840112042t_char,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_2512),U_2510)),U_2515)) ) )
        | U_2515 != U_2517 )
    & ! [U_2516,U_2514] :
        ( U_2514 = U_2516
        | ? [U_2507] :
            ( ~ hBOOL(hAPP_f82569901l_bool(hAPP_P1293136973l_bool(member1840112042t_char,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,sK511(U_2516,U_2514)),U_2507)),U_2514))
            & hBOOL(hAPP_f82569901l_bool(hAPP_P1293136973l_bool(member1840112042t_char,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,sK511(U_2516,U_2514)),U_2507)),U_2516)) )
        | ( ~ hBOOL(hAPP_f82569901l_bool(hAPP_P1293136973l_bool(member1840112042t_char,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,sK509(U_2516,U_2514)),sK510(U_2516,U_2514))),U_2516))
          & hBOOL(hAPP_f82569901l_bool(hAPP_P1293136973l_bool(member1840112042t_char,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,sK509(U_2516,U_2514)),sK510(U_2516,U_2514))),U_2514)) ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK511]),skolemize(U_2509,sK511(U_2516,U_2514))],[f_435_5]) ).

fof(f_435_7,plain,
    ( ! [U_2517,U_2515] :
        ( ( ! [U_2513,U_2511] :
              ( hBOOL(hAPP_f82569901l_bool(hAPP_P1293136973l_bool(member1840112042t_char,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_2513),U_2511)),U_2515))
              | ~ hBOOL(hAPP_f82569901l_bool(hAPP_P1293136973l_bool(member1840112042t_char,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_2513),U_2511)),U_2517)) )
          & ! [U_2512,U_2510] :
              ( hBOOL(hAPP_f82569901l_bool(hAPP_P1293136973l_bool(member1840112042t_char,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_2512),U_2510)),U_2517))
              | ~ hBOOL(hAPP_f82569901l_bool(hAPP_P1293136973l_bool(member1840112042t_char,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_2512),U_2510)),U_2515)) ) )
        | U_2515 != U_2517 )
    & ! [U_2516,U_2514] :
        ( U_2514 = U_2516
        | ( ~ hBOOL(hAPP_f82569901l_bool(hAPP_P1293136973l_bool(member1840112042t_char,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,sK511(U_2516,U_2514)),sK512(U_2516,U_2514))),U_2514))
          & hBOOL(hAPP_f82569901l_bool(hAPP_P1293136973l_bool(member1840112042t_char,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,sK511(U_2516,U_2514)),sK512(U_2516,U_2514))),U_2516)) )
        | ( ~ hBOOL(hAPP_f82569901l_bool(hAPP_P1293136973l_bool(member1840112042t_char,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,sK509(U_2516,U_2514)),sK510(U_2516,U_2514))),U_2516))
          & hBOOL(hAPP_f82569901l_bool(hAPP_P1293136973l_bool(member1840112042t_char,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,sK509(U_2516,U_2514)),sK510(U_2516,U_2514))),U_2514)) ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK512]),skolemize(U_2507,sK512(U_2516,U_2514))],[f_435_6]) ).

cnf(f_435_8,plain,
    ( hBOOL(hAPP_f82569901l_bool(hAPP_P1293136973l_bool(member1840112042t_char,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,sK511(U_2516,U_2514)),sK512(U_2516,U_2514))),U_2516))
    | hBOOL(hAPP_f82569901l_bool(hAPP_P1293136973l_bool(member1840112042t_char,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,sK509(U_2516,U_2514)),sK510(U_2516,U_2514))),U_2514))
    | U_2514 = U_2516 ),
    inference(clausify,[status(thm)],[f_435_7]) ).

cnf(f_435_9,plain,
    ( ~ hBOOL(hAPP_f82569901l_bool(hAPP_P1293136973l_bool(member1840112042t_char,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,sK511(U_2516,U_2514)),sK512(U_2516,U_2514))),U_2514))
    | hBOOL(hAPP_f82569901l_bool(hAPP_P1293136973l_bool(member1840112042t_char,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,sK509(U_2516,U_2514)),sK510(U_2516,U_2514))),U_2514))
    | U_2514 = U_2516 ),
    inference(clausify,[status(thm)],[f_435_7]) ).

cnf(f_435_10,plain,
    ( hBOOL(hAPP_f82569901l_bool(hAPP_P1293136973l_bool(member1840112042t_char,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,sK511(U_2516,U_2514)),sK512(U_2516,U_2514))),U_2516))
    | ~ hBOOL(hAPP_f82569901l_bool(hAPP_P1293136973l_bool(member1840112042t_char,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,sK509(U_2516,U_2514)),sK510(U_2516,U_2514))),U_2516))
    | U_2514 = U_2516 ),
    inference(clausify,[status(thm)],[f_435_7]) ).

cnf(f_435_11,plain,
    ( ~ hBOOL(hAPP_f82569901l_bool(hAPP_P1293136973l_bool(member1840112042t_char,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,sK511(U_2516,U_2514)),sK512(U_2516,U_2514))),U_2514))
    | ~ hBOOL(hAPP_f82569901l_bool(hAPP_P1293136973l_bool(member1840112042t_char,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,sK509(U_2516,U_2514)),sK510(U_2516,U_2514))),U_2516))
    | U_2514 = U_2516 ),
    inference(clausify,[status(thm)],[f_435_7]) ).

cnf(f_435_12,plain,
    ( hBOOL(hAPP_f82569901l_bool(hAPP_P1293136973l_bool(member1840112042t_char,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_2512),U_2510)),U_2517))
    | ~ hBOOL(hAPP_f82569901l_bool(hAPP_P1293136973l_bool(member1840112042t_char,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_2512),U_2510)),U_2515))
    | U_2515 != U_2517 ),
    inference(clausify,[status(thm)],[f_435_7]) ).

cnf(f_435_13,plain,
    ( hBOOL(hAPP_f82569901l_bool(hAPP_P1293136973l_bool(member1840112042t_char,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_2513),U_2511)),U_2515))
    | ~ hBOOL(hAPP_f82569901l_bool(hAPP_P1293136973l_bool(member1840112042t_char,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_2513),U_2511)),U_2517))
    | U_2515 != U_2517 ),
    inference(clausify,[status(thm)],[f_435_7]) ).

fof(f_436_1,plain,
    ! [S_4,R_2] :
      ( ( ! [X_1,Xa] :
            ( ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,X_1),Xa)),R_2))
              | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,X_1),Xa)),S_4)) )
            & ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,X_1),Xa)),S_4))
              | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,X_1),Xa)),R_2)) ) )
        | R_2 != S_4 )
      & ( R_2 = S_4
        | ? [X_1,Xa] :
            ( ( ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,X_1),Xa)),R_2))
              & hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,X_1),Xa)),S_4)) )
            | ( ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,X_1),Xa)),S_4))
              & hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,X_1),Xa)),R_2)) ) ) ) ),
    inference(fof_nnf,[status(thm)],[fact_294_pred__equals__eq2]) ).

fof(f_436_2,plain,
    ! [U_2523,U_2522] :
      ( ( ! [U_2521,U_2520] :
            ( ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_2521),U_2520)),U_2522))
              | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_2521),U_2520)),U_2523)) )
            & ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_2521),U_2520)),U_2523))
              | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_2521),U_2520)),U_2522)) ) )
        | U_2522 != U_2523 )
      & ( U_2522 = U_2523
        | ? [U_2519,U_2518] :
            ( ( ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_2519),U_2518)),U_2522))
              & hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_2519),U_2518)),U_2523)) )
            | ( ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_2519),U_2518)),U_2523))
              & hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_2519),U_2518)),U_2522)) ) ) ) ),
    inference(variable_rename,[status(thm)],[f_436_1]) ).

fof(f_436_3,plain,
    ( ! [U_2535,U_2533] :
        ( ( ! [U_2531,U_2529] :
              ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_2531),U_2529)),U_2533))
              | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_2531),U_2529)),U_2535)) )
          & ! [U_2530,U_2528] :
              ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_2530),U_2528)),U_2535))
              | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_2530),U_2528)),U_2533)) ) )
        | U_2533 != U_2535 )
    & ! [U_2534,U_2532] :
        ( U_2532 = U_2534
        | ? [U_2527,U_2525] :
            ( ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_2527),U_2525)),U_2532))
            & hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_2527),U_2525)),U_2534)) )
        | ? [U_2526,U_2524] :
            ( ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_2526),U_2524)),U_2534))
            & hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_2526),U_2524)),U_2532)) ) ) ),
    inference(miniscope,[status(thm)],[f_436_2]) ).

fof(f_436_4,plain,
    ( ! [U_2535,U_2533] :
        ( ( ! [U_2531,U_2529] :
              ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_2531),U_2529)),U_2533))
              | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_2531),U_2529)),U_2535)) )
          & ! [U_2530,U_2528] :
              ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_2530),U_2528)),U_2535))
              | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_2530),U_2528)),U_2533)) ) )
        | U_2533 != U_2535 )
    & ! [U_2534,U_2532] :
        ( U_2532 = U_2534
        | ? [U_2527,U_2525] :
            ( ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_2527),U_2525)),U_2532))
            & hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_2527),U_2525)),U_2534)) )
        | ? [U_2524] :
            ( ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK513(U_2534,U_2532)),U_2524)),U_2534))
            & hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK513(U_2534,U_2532)),U_2524)),U_2532)) ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK513]),skolemize(U_2526,sK513(U_2534,U_2532))],[f_436_3]) ).

fof(f_436_5,plain,
    ( ! [U_2535,U_2533] :
        ( ( ! [U_2531,U_2529] :
              ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_2531),U_2529)),U_2533))
              | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_2531),U_2529)),U_2535)) )
          & ! [U_2530,U_2528] :
              ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_2530),U_2528)),U_2535))
              | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_2530),U_2528)),U_2533)) ) )
        | U_2533 != U_2535 )
    & ! [U_2534,U_2532] :
        ( U_2532 = U_2534
        | ? [U_2527,U_2525] :
            ( ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_2527),U_2525)),U_2532))
            & hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_2527),U_2525)),U_2534)) )
        | ( ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK513(U_2534,U_2532)),sK514(U_2534,U_2532))),U_2534))
          & hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK513(U_2534,U_2532)),sK514(U_2534,U_2532))),U_2532)) ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK514]),skolemize(U_2524,sK514(U_2534,U_2532))],[f_436_4]) ).

fof(f_436_6,plain,
    ( ! [U_2535,U_2533] :
        ( ( ! [U_2531,U_2529] :
              ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_2531),U_2529)),U_2533))
              | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_2531),U_2529)),U_2535)) )
          & ! [U_2530,U_2528] :
              ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_2530),U_2528)),U_2535))
              | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_2530),U_2528)),U_2533)) ) )
        | U_2533 != U_2535 )
    & ! [U_2534,U_2532] :
        ( U_2532 = U_2534
        | ? [U_2525] :
            ( ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK515(U_2534,U_2532)),U_2525)),U_2532))
            & hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK515(U_2534,U_2532)),U_2525)),U_2534)) )
        | ( ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK513(U_2534,U_2532)),sK514(U_2534,U_2532))),U_2534))
          & hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK513(U_2534,U_2532)),sK514(U_2534,U_2532))),U_2532)) ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK515]),skolemize(U_2527,sK515(U_2534,U_2532))],[f_436_5]) ).

fof(f_436_7,plain,
    ( ! [U_2535,U_2533] :
        ( ( ! [U_2531,U_2529] :
              ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_2531),U_2529)),U_2533))
              | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_2531),U_2529)),U_2535)) )
          & ! [U_2530,U_2528] :
              ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_2530),U_2528)),U_2535))
              | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_2530),U_2528)),U_2533)) ) )
        | U_2533 != U_2535 )
    & ! [U_2534,U_2532] :
        ( U_2532 = U_2534
        | ( ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK515(U_2534,U_2532)),sK516(U_2534,U_2532))),U_2532))
          & hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK515(U_2534,U_2532)),sK516(U_2534,U_2532))),U_2534)) )
        | ( ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK513(U_2534,U_2532)),sK514(U_2534,U_2532))),U_2534))
          & hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK513(U_2534,U_2532)),sK514(U_2534,U_2532))),U_2532)) ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK516]),skolemize(U_2525,sK516(U_2534,U_2532))],[f_436_6]) ).

cnf(f_436_8,plain,
    ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK515(U_2534,U_2532)),sK516(U_2534,U_2532))),U_2534))
    | hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK513(U_2534,U_2532)),sK514(U_2534,U_2532))),U_2532))
    | U_2532 = U_2534 ),
    inference(clausify,[status(thm)],[f_436_7]) ).

cnf(f_436_9,plain,
    ( ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK515(U_2534,U_2532)),sK516(U_2534,U_2532))),U_2532))
    | hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK513(U_2534,U_2532)),sK514(U_2534,U_2532))),U_2532))
    | U_2532 = U_2534 ),
    inference(clausify,[status(thm)],[f_436_7]) ).

cnf(f_436_10,plain,
    ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK515(U_2534,U_2532)),sK516(U_2534,U_2532))),U_2534))
    | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK513(U_2534,U_2532)),sK514(U_2534,U_2532))),U_2534))
    | U_2532 = U_2534 ),
    inference(clausify,[status(thm)],[f_436_7]) ).

cnf(f_436_11,plain,
    ( ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK515(U_2534,U_2532)),sK516(U_2534,U_2532))),U_2532))
    | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK513(U_2534,U_2532)),sK514(U_2534,U_2532))),U_2534))
    | U_2532 = U_2534 ),
    inference(clausify,[status(thm)],[f_436_7]) ).

cnf(f_436_12,plain,
    ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_2530),U_2528)),U_2535))
    | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_2530),U_2528)),U_2533))
    | U_2533 != U_2535 ),
    inference(clausify,[status(thm)],[f_436_7]) ).

cnf(f_436_13,plain,
    ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_2531),U_2529)),U_2533))
    | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_2531),U_2529)),U_2535))
    | U_2533 != U_2535 ),
    inference(clausify,[status(thm)],[f_436_7]) ).

fof(f_437_1,plain,
    ! [S_4,R_2] :
      ( ( ! [X_1,Xa] :
            ( ( hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,X_1),Xa)),R_2))
              | ~ hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,X_1),Xa)),S_4)) )
            & ( hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,X_1),Xa)),S_4))
              | ~ hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,X_1),Xa)),R_2)) ) )
        | R_2 != S_4 )
      & ( R_2 = S_4
        | ? [X_1,Xa] :
            ( ( ~ hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,X_1),Xa)),R_2))
              & hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,X_1),Xa)),S_4)) )
            | ( ~ hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,X_1),Xa)),S_4))
              & hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,X_1),Xa)),R_2)) ) ) ) ),
    inference(fof_nnf,[status(thm)],[fact_295_pred__equals__eq2]) ).

fof(f_437_2,plain,
    ! [U_2541,U_2540] :
      ( ( ! [U_2539,U_2538] :
            ( ( hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_2539),U_2538)),U_2540))
              | ~ hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_2539),U_2538)),U_2541)) )
            & ( hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_2539),U_2538)),U_2541))
              | ~ hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_2539),U_2538)),U_2540)) ) )
        | U_2540 != U_2541 )
      & ( U_2540 = U_2541
        | ? [U_2537,U_2536] :
            ( ( ~ hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_2537),U_2536)),U_2540))
              & hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_2537),U_2536)),U_2541)) )
            | ( ~ hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_2537),U_2536)),U_2541))
              & hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_2537),U_2536)),U_2540)) ) ) ) ),
    inference(variable_rename,[status(thm)],[f_437_1]) ).

fof(f_437_3,plain,
    ( ! [U_2553,U_2551] :
        ( ( ! [U_2549,U_2547] :
              ( hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_2549),U_2547)),U_2551))
              | ~ hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_2549),U_2547)),U_2553)) )
          & ! [U_2548,U_2546] :
              ( hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_2548),U_2546)),U_2553))
              | ~ hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_2548),U_2546)),U_2551)) ) )
        | U_2551 != U_2553 )
    & ! [U_2552,U_2550] :
        ( U_2550 = U_2552
        | ? [U_2545,U_2543] :
            ( ~ hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_2545),U_2543)),U_2550))
            & hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_2545),U_2543)),U_2552)) )
        | ? [U_2544,U_2542] :
            ( ~ hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_2544),U_2542)),U_2552))
            & hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_2544),U_2542)),U_2550)) ) ) ),
    inference(miniscope,[status(thm)],[f_437_2]) ).

fof(f_437_4,plain,
    ( ! [U_2553,U_2551] :
        ( ( ! [U_2549,U_2547] :
              ( hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_2549),U_2547)),U_2551))
              | ~ hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_2549),U_2547)),U_2553)) )
          & ! [U_2548,U_2546] :
              ( hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_2548),U_2546)),U_2553))
              | ~ hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_2548),U_2546)),U_2551)) ) )
        | U_2551 != U_2553 )
    & ! [U_2552,U_2550] :
        ( U_2550 = U_2552
        | ? [U_2545,U_2543] :
            ( ~ hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_2545),U_2543)),U_2550))
            & hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_2545),U_2543)),U_2552)) )
        | ? [U_2542] :
            ( ~ hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,sK517(U_2552,U_2550)),U_2542)),U_2552))
            & hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,sK517(U_2552,U_2550)),U_2542)),U_2550)) ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK517]),skolemize(U_2544,sK517(U_2552,U_2550))],[f_437_3]) ).

fof(f_437_5,plain,
    ( ! [U_2553,U_2551] :
        ( ( ! [U_2549,U_2547] :
              ( hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_2549),U_2547)),U_2551))
              | ~ hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_2549),U_2547)),U_2553)) )
          & ! [U_2548,U_2546] :
              ( hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_2548),U_2546)),U_2553))
              | ~ hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_2548),U_2546)),U_2551)) ) )
        | U_2551 != U_2553 )
    & ! [U_2552,U_2550] :
        ( U_2550 = U_2552
        | ? [U_2545,U_2543] :
            ( ~ hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_2545),U_2543)),U_2550))
            & hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_2545),U_2543)),U_2552)) )
        | ( ~ hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,sK517(U_2552,U_2550)),sK518(U_2552,U_2550))),U_2552))
          & hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,sK517(U_2552,U_2550)),sK518(U_2552,U_2550))),U_2550)) ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK518]),skolemize(U_2542,sK518(U_2552,U_2550))],[f_437_4]) ).

fof(f_437_6,plain,
    ( ! [U_2553,U_2551] :
        ( ( ! [U_2549,U_2547] :
              ( hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_2549),U_2547)),U_2551))
              | ~ hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_2549),U_2547)),U_2553)) )
          & ! [U_2548,U_2546] :
              ( hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_2548),U_2546)),U_2553))
              | ~ hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_2548),U_2546)),U_2551)) ) )
        | U_2551 != U_2553 )
    & ! [U_2552,U_2550] :
        ( U_2550 = U_2552
        | ? [U_2543] :
            ( ~ hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,sK519(U_2552,U_2550)),U_2543)),U_2550))
            & hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,sK519(U_2552,U_2550)),U_2543)),U_2552)) )
        | ( ~ hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,sK517(U_2552,U_2550)),sK518(U_2552,U_2550))),U_2552))
          & hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,sK517(U_2552,U_2550)),sK518(U_2552,U_2550))),U_2550)) ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK519]),skolemize(U_2545,sK519(U_2552,U_2550))],[f_437_5]) ).

fof(f_437_7,plain,
    ( ! [U_2553,U_2551] :
        ( ( ! [U_2549,U_2547] :
              ( hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_2549),U_2547)),U_2551))
              | ~ hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_2549),U_2547)),U_2553)) )
          & ! [U_2548,U_2546] :
              ( hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_2548),U_2546)),U_2553))
              | ~ hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_2548),U_2546)),U_2551)) ) )
        | U_2551 != U_2553 )
    & ! [U_2552,U_2550] :
        ( U_2550 = U_2552
        | ( ~ hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,sK519(U_2552,U_2550)),sK520(U_2552,U_2550))),U_2550))
          & hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,sK519(U_2552,U_2550)),sK520(U_2552,U_2550))),U_2552)) )
        | ( ~ hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,sK517(U_2552,U_2550)),sK518(U_2552,U_2550))),U_2552))
          & hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,sK517(U_2552,U_2550)),sK518(U_2552,U_2550))),U_2550)) ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK520]),skolemize(U_2543,sK520(U_2552,U_2550))],[f_437_6]) ).

cnf(f_437_8,plain,
    ( hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,sK519(U_2552,U_2550)),sK520(U_2552,U_2550))),U_2552))
    | hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,sK517(U_2552,U_2550)),sK518(U_2552,U_2550))),U_2550))
    | U_2550 = U_2552 ),
    inference(clausify,[status(thm)],[f_437_7]) ).

cnf(f_437_9,plain,
    ( ~ hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,sK519(U_2552,U_2550)),sK520(U_2552,U_2550))),U_2550))
    | hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,sK517(U_2552,U_2550)),sK518(U_2552,U_2550))),U_2550))
    | U_2550 = U_2552 ),
    inference(clausify,[status(thm)],[f_437_7]) ).

cnf(f_437_10,plain,
    ( hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,sK519(U_2552,U_2550)),sK520(U_2552,U_2550))),U_2552))
    | ~ hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,sK517(U_2552,U_2550)),sK518(U_2552,U_2550))),U_2552))
    | U_2550 = U_2552 ),
    inference(clausify,[status(thm)],[f_437_7]) ).

cnf(f_437_11,plain,
    ( ~ hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,sK519(U_2552,U_2550)),sK520(U_2552,U_2550))),U_2550))
    | ~ hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,sK517(U_2552,U_2550)),sK518(U_2552,U_2550))),U_2552))
    | U_2550 = U_2552 ),
    inference(clausify,[status(thm)],[f_437_7]) ).

cnf(f_437_12,plain,
    ( hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_2548),U_2546)),U_2553))
    | ~ hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_2548),U_2546)),U_2551))
    | U_2551 != U_2553 ),
    inference(clausify,[status(thm)],[f_437_7]) ).

cnf(f_437_13,plain,
    ( hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_2549),U_2547)),U_2551))
    | ~ hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_2549),U_2547)),U_2553))
    | U_2551 != U_2553 ),
    inference(clausify,[status(thm)],[f_437_7]) ).

fof(f_438_1,plain,
    ! [S_4,R_2] :
      ( ( ! [X_1,Xa] :
            ( ( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,X_1),Xa)),R_2))
              | ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,X_1),Xa)),S_4)) )
            & ( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,X_1),Xa)),S_4))
              | ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,X_1),Xa)),R_2)) ) )
        | R_2 != S_4 )
      & ( R_2 = S_4
        | ? [X_1,Xa] :
            ( ( ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,X_1),Xa)),R_2))
              & hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,X_1),Xa)),S_4)) )
            | ( ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,X_1),Xa)),S_4))
              & hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,X_1),Xa)),R_2)) ) ) ) ),
    inference(fof_nnf,[status(thm)],[fact_296_pred__equals__eq2]) ).

fof(f_438_2,plain,
    ! [U_2559,U_2558] :
      ( ( ! [U_2557,U_2556] :
            ( ( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_2557),U_2556)),U_2558))
              | ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_2557),U_2556)),U_2559)) )
            & ( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_2557),U_2556)),U_2559))
              | ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_2557),U_2556)),U_2558)) ) )
        | U_2558 != U_2559 )
      & ( U_2558 = U_2559
        | ? [U_2555,U_2554] :
            ( ( ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_2555),U_2554)),U_2558))
              & hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_2555),U_2554)),U_2559)) )
            | ( ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_2555),U_2554)),U_2559))
              & hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_2555),U_2554)),U_2558)) ) ) ) ),
    inference(variable_rename,[status(thm)],[f_438_1]) ).

fof(f_438_3,plain,
    ( ! [U_2571,U_2569] :
        ( ( ! [U_2567,U_2565] :
              ( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_2567),U_2565)),U_2569))
              | ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_2567),U_2565)),U_2571)) )
          & ! [U_2566,U_2564] :
              ( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_2566),U_2564)),U_2571))
              | ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_2566),U_2564)),U_2569)) ) )
        | U_2569 != U_2571 )
    & ! [U_2570,U_2568] :
        ( U_2568 = U_2570
        | ? [U_2563,U_2561] :
            ( ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_2563),U_2561)),U_2568))
            & hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_2563),U_2561)),U_2570)) )
        | ? [U_2562,U_2560] :
            ( ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_2562),U_2560)),U_2570))
            & hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_2562),U_2560)),U_2568)) ) ) ),
    inference(miniscope,[status(thm)],[f_438_2]) ).

fof(f_438_4,plain,
    ( ! [U_2571,U_2569] :
        ( ( ! [U_2567,U_2565] :
              ( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_2567),U_2565)),U_2569))
              | ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_2567),U_2565)),U_2571)) )
          & ! [U_2566,U_2564] :
              ( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_2566),U_2564)),U_2571))
              | ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_2566),U_2564)),U_2569)) ) )
        | U_2569 != U_2571 )
    & ! [U_2570,U_2568] :
        ( U_2568 = U_2570
        | ? [U_2563,U_2561] :
            ( ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_2563),U_2561)),U_2568))
            & hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_2563),U_2561)),U_2570)) )
        | ? [U_2560] :
            ( ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,sK521(U_2570,U_2568)),U_2560)),U_2570))
            & hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,sK521(U_2570,U_2568)),U_2560)),U_2568)) ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK521]),skolemize(U_2562,sK521(U_2570,U_2568))],[f_438_3]) ).

fof(f_438_5,plain,
    ( ! [U_2571,U_2569] :
        ( ( ! [U_2567,U_2565] :
              ( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_2567),U_2565)),U_2569))
              | ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_2567),U_2565)),U_2571)) )
          & ! [U_2566,U_2564] :
              ( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_2566),U_2564)),U_2571))
              | ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_2566),U_2564)),U_2569)) ) )
        | U_2569 != U_2571 )
    & ! [U_2570,U_2568] :
        ( U_2568 = U_2570
        | ? [U_2563,U_2561] :
            ( ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_2563),U_2561)),U_2568))
            & hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_2563),U_2561)),U_2570)) )
        | ( ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,sK521(U_2570,U_2568)),sK522(U_2570,U_2568))),U_2570))
          & hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,sK521(U_2570,U_2568)),sK522(U_2570,U_2568))),U_2568)) ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK522]),skolemize(U_2560,sK522(U_2570,U_2568))],[f_438_4]) ).

fof(f_438_6,plain,
    ( ! [U_2571,U_2569] :
        ( ( ! [U_2567,U_2565] :
              ( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_2567),U_2565)),U_2569))
              | ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_2567),U_2565)),U_2571)) )
          & ! [U_2566,U_2564] :
              ( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_2566),U_2564)),U_2571))
              | ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_2566),U_2564)),U_2569)) ) )
        | U_2569 != U_2571 )
    & ! [U_2570,U_2568] :
        ( U_2568 = U_2570
        | ? [U_2561] :
            ( ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,sK523(U_2570,U_2568)),U_2561)),U_2568))
            & hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,sK523(U_2570,U_2568)),U_2561)),U_2570)) )
        | ( ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,sK521(U_2570,U_2568)),sK522(U_2570,U_2568))),U_2570))
          & hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,sK521(U_2570,U_2568)),sK522(U_2570,U_2568))),U_2568)) ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK523]),skolemize(U_2563,sK523(U_2570,U_2568))],[f_438_5]) ).

fof(f_438_7,plain,
    ( ! [U_2571,U_2569] :
        ( ( ! [U_2567,U_2565] :
              ( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_2567),U_2565)),U_2569))
              | ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_2567),U_2565)),U_2571)) )
          & ! [U_2566,U_2564] :
              ( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_2566),U_2564)),U_2571))
              | ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_2566),U_2564)),U_2569)) ) )
        | U_2569 != U_2571 )
    & ! [U_2570,U_2568] :
        ( U_2568 = U_2570
        | ( ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,sK523(U_2570,U_2568)),sK524(U_2570,U_2568))),U_2568))
          & hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,sK523(U_2570,U_2568)),sK524(U_2570,U_2568))),U_2570)) )
        | ( ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,sK521(U_2570,U_2568)),sK522(U_2570,U_2568))),U_2570))
          & hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,sK521(U_2570,U_2568)),sK522(U_2570,U_2568))),U_2568)) ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK524]),skolemize(U_2561,sK524(U_2570,U_2568))],[f_438_6]) ).

cnf(f_438_8,plain,
    ( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,sK523(U_2570,U_2568)),sK524(U_2570,U_2568))),U_2570))
    | hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,sK521(U_2570,U_2568)),sK522(U_2570,U_2568))),U_2568))
    | U_2568 = U_2570 ),
    inference(clausify,[status(thm)],[f_438_7]) ).

cnf(f_438_9,plain,
    ( ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,sK523(U_2570,U_2568)),sK524(U_2570,U_2568))),U_2568))
    | hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,sK521(U_2570,U_2568)),sK522(U_2570,U_2568))),U_2568))
    | U_2568 = U_2570 ),
    inference(clausify,[status(thm)],[f_438_7]) ).

cnf(f_438_10,plain,
    ( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,sK523(U_2570,U_2568)),sK524(U_2570,U_2568))),U_2570))
    | ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,sK521(U_2570,U_2568)),sK522(U_2570,U_2568))),U_2570))
    | U_2568 = U_2570 ),
    inference(clausify,[status(thm)],[f_438_7]) ).

cnf(f_438_11,plain,
    ( ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,sK523(U_2570,U_2568)),sK524(U_2570,U_2568))),U_2568))
    | ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,sK521(U_2570,U_2568)),sK522(U_2570,U_2568))),U_2570))
    | U_2568 = U_2570 ),
    inference(clausify,[status(thm)],[f_438_7]) ).

cnf(f_438_12,plain,
    ( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_2566),U_2564)),U_2571))
    | ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_2566),U_2564)),U_2569))
    | U_2569 != U_2571 ),
    inference(clausify,[status(thm)],[f_438_7]) ).

cnf(f_438_13,plain,
    ( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_2567),U_2565)),U_2569))
    | ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_2567),U_2565)),U_2571))
    | U_2569 != U_2571 ),
    inference(clausify,[status(thm)],[f_438_7]) ).

fof(f_439_1,plain,
    ! [S_4,R_2] :
      ( ( ! [X_1,Xa] :
            ( ( hBOOL(hAPP_f515912112l_bool(hAPP_P205570445l_bool(member1467889965t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,X_1),Xa)),R_2))
              | ~ hBOOL(hAPP_f515912112l_bool(hAPP_P205570445l_bool(member1467889965t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,X_1),Xa)),S_4)) )
            & ( hBOOL(hAPP_f515912112l_bool(hAPP_P205570445l_bool(member1467889965t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,X_1),Xa)),S_4))
              | ~ hBOOL(hAPP_f515912112l_bool(hAPP_P205570445l_bool(member1467889965t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,X_1),Xa)),R_2)) ) )
        | R_2 != S_4 )
      & ( R_2 = S_4
        | ? [X_1,Xa] :
            ( ( ~ hBOOL(hAPP_f515912112l_bool(hAPP_P205570445l_bool(member1467889965t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,X_1),Xa)),R_2))
              & hBOOL(hAPP_f515912112l_bool(hAPP_P205570445l_bool(member1467889965t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,X_1),Xa)),S_4)) )
            | ( ~ hBOOL(hAPP_f515912112l_bool(hAPP_P205570445l_bool(member1467889965t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,X_1),Xa)),S_4))
              & hBOOL(hAPP_f515912112l_bool(hAPP_P205570445l_bool(member1467889965t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,X_1),Xa)),R_2)) ) ) ) ),
    inference(fof_nnf,[status(thm)],[fact_297_pred__equals__eq2]) ).

fof(f_439_2,plain,
    ! [U_2577,U_2576] :
      ( ( ! [U_2575,U_2574] :
            ( ( hBOOL(hAPP_f515912112l_bool(hAPP_P205570445l_bool(member1467889965t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_2575),U_2574)),U_2576))
              | ~ hBOOL(hAPP_f515912112l_bool(hAPP_P205570445l_bool(member1467889965t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_2575),U_2574)),U_2577)) )
            & ( hBOOL(hAPP_f515912112l_bool(hAPP_P205570445l_bool(member1467889965t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_2575),U_2574)),U_2577))
              | ~ hBOOL(hAPP_f515912112l_bool(hAPP_P205570445l_bool(member1467889965t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_2575),U_2574)),U_2576)) ) )
        | U_2576 != U_2577 )
      & ( U_2576 = U_2577
        | ? [U_2573,U_2572] :
            ( ( ~ hBOOL(hAPP_f515912112l_bool(hAPP_P205570445l_bool(member1467889965t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_2573),U_2572)),U_2576))
              & hBOOL(hAPP_f515912112l_bool(hAPP_P205570445l_bool(member1467889965t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_2573),U_2572)),U_2577)) )
            | ( ~ hBOOL(hAPP_f515912112l_bool(hAPP_P205570445l_bool(member1467889965t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_2573),U_2572)),U_2577))
              & hBOOL(hAPP_f515912112l_bool(hAPP_P205570445l_bool(member1467889965t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_2573),U_2572)),U_2576)) ) ) ) ),
    inference(variable_rename,[status(thm)],[f_439_1]) ).

fof(f_439_3,plain,
    ( ! [U_2589,U_2587] :
        ( ( ! [U_2585,U_2583] :
              ( hBOOL(hAPP_f515912112l_bool(hAPP_P205570445l_bool(member1467889965t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_2585),U_2583)),U_2587))
              | ~ hBOOL(hAPP_f515912112l_bool(hAPP_P205570445l_bool(member1467889965t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_2585),U_2583)),U_2589)) )
          & ! [U_2584,U_2582] :
              ( hBOOL(hAPP_f515912112l_bool(hAPP_P205570445l_bool(member1467889965t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_2584),U_2582)),U_2589))
              | ~ hBOOL(hAPP_f515912112l_bool(hAPP_P205570445l_bool(member1467889965t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_2584),U_2582)),U_2587)) ) )
        | U_2587 != U_2589 )
    & ! [U_2588,U_2586] :
        ( U_2586 = U_2588
        | ? [U_2581,U_2579] :
            ( ~ hBOOL(hAPP_f515912112l_bool(hAPP_P205570445l_bool(member1467889965t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_2581),U_2579)),U_2586))
            & hBOOL(hAPP_f515912112l_bool(hAPP_P205570445l_bool(member1467889965t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_2581),U_2579)),U_2588)) )
        | ? [U_2580,U_2578] :
            ( ~ hBOOL(hAPP_f515912112l_bool(hAPP_P205570445l_bool(member1467889965t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_2580),U_2578)),U_2588))
            & hBOOL(hAPP_f515912112l_bool(hAPP_P205570445l_bool(member1467889965t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_2580),U_2578)),U_2586)) ) ) ),
    inference(miniscope,[status(thm)],[f_439_2]) ).

fof(f_439_4,plain,
    ( ! [U_2589,U_2587] :
        ( ( ! [U_2585,U_2583] :
              ( hBOOL(hAPP_f515912112l_bool(hAPP_P205570445l_bool(member1467889965t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_2585),U_2583)),U_2587))
              | ~ hBOOL(hAPP_f515912112l_bool(hAPP_P205570445l_bool(member1467889965t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_2585),U_2583)),U_2589)) )
          & ! [U_2584,U_2582] :
              ( hBOOL(hAPP_f515912112l_bool(hAPP_P205570445l_bool(member1467889965t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_2584),U_2582)),U_2589))
              | ~ hBOOL(hAPP_f515912112l_bool(hAPP_P205570445l_bool(member1467889965t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_2584),U_2582)),U_2587)) ) )
        | U_2587 != U_2589 )
    & ! [U_2588,U_2586] :
        ( U_2586 = U_2588
        | ? [U_2581,U_2579] :
            ( ~ hBOOL(hAPP_f515912112l_bool(hAPP_P205570445l_bool(member1467889965t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_2581),U_2579)),U_2586))
            & hBOOL(hAPP_f515912112l_bool(hAPP_P205570445l_bool(member1467889965t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_2581),U_2579)),U_2588)) )
        | ? [U_2578] :
            ( ~ hBOOL(hAPP_f515912112l_bool(hAPP_P205570445l_bool(member1467889965t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,sK525(U_2588,U_2586)),U_2578)),U_2588))
            & hBOOL(hAPP_f515912112l_bool(hAPP_P205570445l_bool(member1467889965t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,sK525(U_2588,U_2586)),U_2578)),U_2586)) ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK525]),skolemize(U_2580,sK525(U_2588,U_2586))],[f_439_3]) ).

fof(f_439_5,plain,
    ( ! [U_2589,U_2587] :
        ( ( ! [U_2585,U_2583] :
              ( hBOOL(hAPP_f515912112l_bool(hAPP_P205570445l_bool(member1467889965t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_2585),U_2583)),U_2587))
              | ~ hBOOL(hAPP_f515912112l_bool(hAPP_P205570445l_bool(member1467889965t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_2585),U_2583)),U_2589)) )
          & ! [U_2584,U_2582] :
              ( hBOOL(hAPP_f515912112l_bool(hAPP_P205570445l_bool(member1467889965t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_2584),U_2582)),U_2589))
              | ~ hBOOL(hAPP_f515912112l_bool(hAPP_P205570445l_bool(member1467889965t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_2584),U_2582)),U_2587)) ) )
        | U_2587 != U_2589 )
    & ! [U_2588,U_2586] :
        ( U_2586 = U_2588
        | ? [U_2581,U_2579] :
            ( ~ hBOOL(hAPP_f515912112l_bool(hAPP_P205570445l_bool(member1467889965t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_2581),U_2579)),U_2586))
            & hBOOL(hAPP_f515912112l_bool(hAPP_P205570445l_bool(member1467889965t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_2581),U_2579)),U_2588)) )
        | ( ~ hBOOL(hAPP_f515912112l_bool(hAPP_P205570445l_bool(member1467889965t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,sK525(U_2588,U_2586)),sK526(U_2588,U_2586))),U_2588))
          & hBOOL(hAPP_f515912112l_bool(hAPP_P205570445l_bool(member1467889965t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,sK525(U_2588,U_2586)),sK526(U_2588,U_2586))),U_2586)) ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK526]),skolemize(U_2578,sK526(U_2588,U_2586))],[f_439_4]) ).

fof(f_439_6,plain,
    ( ! [U_2589,U_2587] :
        ( ( ! [U_2585,U_2583] :
              ( hBOOL(hAPP_f515912112l_bool(hAPP_P205570445l_bool(member1467889965t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_2585),U_2583)),U_2587))
              | ~ hBOOL(hAPP_f515912112l_bool(hAPP_P205570445l_bool(member1467889965t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_2585),U_2583)),U_2589)) )
          & ! [U_2584,U_2582] :
              ( hBOOL(hAPP_f515912112l_bool(hAPP_P205570445l_bool(member1467889965t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_2584),U_2582)),U_2589))
              | ~ hBOOL(hAPP_f515912112l_bool(hAPP_P205570445l_bool(member1467889965t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_2584),U_2582)),U_2587)) ) )
        | U_2587 != U_2589 )
    & ! [U_2588,U_2586] :
        ( U_2586 = U_2588
        | ? [U_2579] :
            ( ~ hBOOL(hAPP_f515912112l_bool(hAPP_P205570445l_bool(member1467889965t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,sK527(U_2588,U_2586)),U_2579)),U_2586))
            & hBOOL(hAPP_f515912112l_bool(hAPP_P205570445l_bool(member1467889965t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,sK527(U_2588,U_2586)),U_2579)),U_2588)) )
        | ( ~ hBOOL(hAPP_f515912112l_bool(hAPP_P205570445l_bool(member1467889965t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,sK525(U_2588,U_2586)),sK526(U_2588,U_2586))),U_2588))
          & hBOOL(hAPP_f515912112l_bool(hAPP_P205570445l_bool(member1467889965t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,sK525(U_2588,U_2586)),sK526(U_2588,U_2586))),U_2586)) ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK527]),skolemize(U_2581,sK527(U_2588,U_2586))],[f_439_5]) ).

fof(f_439_7,plain,
    ( ! [U_2589,U_2587] :
        ( ( ! [U_2585,U_2583] :
              ( hBOOL(hAPP_f515912112l_bool(hAPP_P205570445l_bool(member1467889965t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_2585),U_2583)),U_2587))
              | ~ hBOOL(hAPP_f515912112l_bool(hAPP_P205570445l_bool(member1467889965t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_2585),U_2583)),U_2589)) )
          & ! [U_2584,U_2582] :
              ( hBOOL(hAPP_f515912112l_bool(hAPP_P205570445l_bool(member1467889965t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_2584),U_2582)),U_2589))
              | ~ hBOOL(hAPP_f515912112l_bool(hAPP_P205570445l_bool(member1467889965t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_2584),U_2582)),U_2587)) ) )
        | U_2587 != U_2589 )
    & ! [U_2588,U_2586] :
        ( U_2586 = U_2588
        | ( ~ hBOOL(hAPP_f515912112l_bool(hAPP_P205570445l_bool(member1467889965t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,sK527(U_2588,U_2586)),sK528(U_2588,U_2586))),U_2586))
          & hBOOL(hAPP_f515912112l_bool(hAPP_P205570445l_bool(member1467889965t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,sK527(U_2588,U_2586)),sK528(U_2588,U_2586))),U_2588)) )
        | ( ~ hBOOL(hAPP_f515912112l_bool(hAPP_P205570445l_bool(member1467889965t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,sK525(U_2588,U_2586)),sK526(U_2588,U_2586))),U_2588))
          & hBOOL(hAPP_f515912112l_bool(hAPP_P205570445l_bool(member1467889965t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,sK525(U_2588,U_2586)),sK526(U_2588,U_2586))),U_2586)) ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK528]),skolemize(U_2579,sK528(U_2588,U_2586))],[f_439_6]) ).

cnf(f_439_8,plain,
    ( hBOOL(hAPP_f515912112l_bool(hAPP_P205570445l_bool(member1467889965t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,sK527(U_2588,U_2586)),sK528(U_2588,U_2586))),U_2588))
    | hBOOL(hAPP_f515912112l_bool(hAPP_P205570445l_bool(member1467889965t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,sK525(U_2588,U_2586)),sK526(U_2588,U_2586))),U_2586))
    | U_2586 = U_2588 ),
    inference(clausify,[status(thm)],[f_439_7]) ).

cnf(f_439_9,plain,
    ( ~ hBOOL(hAPP_f515912112l_bool(hAPP_P205570445l_bool(member1467889965t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,sK527(U_2588,U_2586)),sK528(U_2588,U_2586))),U_2586))
    | hBOOL(hAPP_f515912112l_bool(hAPP_P205570445l_bool(member1467889965t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,sK525(U_2588,U_2586)),sK526(U_2588,U_2586))),U_2586))
    | U_2586 = U_2588 ),
    inference(clausify,[status(thm)],[f_439_7]) ).

cnf(f_439_10,plain,
    ( hBOOL(hAPP_f515912112l_bool(hAPP_P205570445l_bool(member1467889965t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,sK527(U_2588,U_2586)),sK528(U_2588,U_2586))),U_2588))
    | ~ hBOOL(hAPP_f515912112l_bool(hAPP_P205570445l_bool(member1467889965t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,sK525(U_2588,U_2586)),sK526(U_2588,U_2586))),U_2588))
    | U_2586 = U_2588 ),
    inference(clausify,[status(thm)],[f_439_7]) ).

cnf(f_439_11,plain,
    ( ~ hBOOL(hAPP_f515912112l_bool(hAPP_P205570445l_bool(member1467889965t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,sK527(U_2588,U_2586)),sK528(U_2588,U_2586))),U_2586))
    | ~ hBOOL(hAPP_f515912112l_bool(hAPP_P205570445l_bool(member1467889965t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,sK525(U_2588,U_2586)),sK526(U_2588,U_2586))),U_2588))
    | U_2586 = U_2588 ),
    inference(clausify,[status(thm)],[f_439_7]) ).

cnf(f_439_12,plain,
    ( hBOOL(hAPP_f515912112l_bool(hAPP_P205570445l_bool(member1467889965t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_2584),U_2582)),U_2589))
    | ~ hBOOL(hAPP_f515912112l_bool(hAPP_P205570445l_bool(member1467889965t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_2584),U_2582)),U_2587))
    | U_2587 != U_2589 ),
    inference(clausify,[status(thm)],[f_439_7]) ).

cnf(f_439_13,plain,
    ( hBOOL(hAPP_f515912112l_bool(hAPP_P205570445l_bool(member1467889965t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_2585),U_2583)),U_2587))
    | ~ hBOOL(hAPP_f515912112l_bool(hAPP_P205570445l_bool(member1467889965t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_2585),U_2583)),U_2589))
    | U_2587 != U_2589 ),
    inference(clausify,[status(thm)],[f_439_7]) ).

fof(f_440_1,plain,
    ! [S_4,R_2] :
      ( ( ! [X_1,Xa] :
            ( ( hBOOL(hAPP_f483496539l_bool(hAPP_P7095645l_bool(member1601084734t_char,hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,X_1),Xa)),R_2))
              | ~ hBOOL(hAPP_f483496539l_bool(hAPP_P7095645l_bool(member1601084734t_char,hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,X_1),Xa)),S_4)) )
            & ( hBOOL(hAPP_f483496539l_bool(hAPP_P7095645l_bool(member1601084734t_char,hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,X_1),Xa)),S_4))
              | ~ hBOOL(hAPP_f483496539l_bool(hAPP_P7095645l_bool(member1601084734t_char,hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,X_1),Xa)),R_2)) ) )
        | R_2 != S_4 )
      & ( R_2 = S_4
        | ? [X_1,Xa] :
            ( ( ~ hBOOL(hAPP_f483496539l_bool(hAPP_P7095645l_bool(member1601084734t_char,hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,X_1),Xa)),R_2))
              & hBOOL(hAPP_f483496539l_bool(hAPP_P7095645l_bool(member1601084734t_char,hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,X_1),Xa)),S_4)) )
            | ( ~ hBOOL(hAPP_f483496539l_bool(hAPP_P7095645l_bool(member1601084734t_char,hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,X_1),Xa)),S_4))
              & hBOOL(hAPP_f483496539l_bool(hAPP_P7095645l_bool(member1601084734t_char,hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,X_1),Xa)),R_2)) ) ) ) ),
    inference(fof_nnf,[status(thm)],[fact_298_pred__equals__eq2]) ).

fof(f_440_2,plain,
    ! [U_2595,U_2594] :
      ( ( ! [U_2593,U_2592] :
            ( ( hBOOL(hAPP_f483496539l_bool(hAPP_P7095645l_bool(member1601084734t_char,hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,U_2593),U_2592)),U_2594))
              | ~ hBOOL(hAPP_f483496539l_bool(hAPP_P7095645l_bool(member1601084734t_char,hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,U_2593),U_2592)),U_2595)) )
            & ( hBOOL(hAPP_f483496539l_bool(hAPP_P7095645l_bool(member1601084734t_char,hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,U_2593),U_2592)),U_2595))
              | ~ hBOOL(hAPP_f483496539l_bool(hAPP_P7095645l_bool(member1601084734t_char,hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,U_2593),U_2592)),U_2594)) ) )
        | U_2594 != U_2595 )
      & ( U_2594 = U_2595
        | ? [U_2591,U_2590] :
            ( ( ~ hBOOL(hAPP_f483496539l_bool(hAPP_P7095645l_bool(member1601084734t_char,hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,U_2591),U_2590)),U_2594))
              & hBOOL(hAPP_f483496539l_bool(hAPP_P7095645l_bool(member1601084734t_char,hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,U_2591),U_2590)),U_2595)) )
            | ( ~ hBOOL(hAPP_f483496539l_bool(hAPP_P7095645l_bool(member1601084734t_char,hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,U_2591),U_2590)),U_2595))
              & hBOOL(hAPP_f483496539l_bool(hAPP_P7095645l_bool(member1601084734t_char,hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,U_2591),U_2590)),U_2594)) ) ) ) ),
    inference(variable_rename,[status(thm)],[f_440_1]) ).

fof(f_440_3,plain,
    ( ! [U_2607,U_2605] :
        ( ( ! [U_2603,U_2601] :
              ( hBOOL(hAPP_f483496539l_bool(hAPP_P7095645l_bool(member1601084734t_char,hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,U_2603),U_2601)),U_2605))
              | ~ hBOOL(hAPP_f483496539l_bool(hAPP_P7095645l_bool(member1601084734t_char,hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,U_2603),U_2601)),U_2607)) )
          & ! [U_2602,U_2600] :
              ( hBOOL(hAPP_f483496539l_bool(hAPP_P7095645l_bool(member1601084734t_char,hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,U_2602),U_2600)),U_2607))
              | ~ hBOOL(hAPP_f483496539l_bool(hAPP_P7095645l_bool(member1601084734t_char,hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,U_2602),U_2600)),U_2605)) ) )
        | U_2605 != U_2607 )
    & ! [U_2606,U_2604] :
        ( U_2604 = U_2606
        | ? [U_2599,U_2597] :
            ( ~ hBOOL(hAPP_f483496539l_bool(hAPP_P7095645l_bool(member1601084734t_char,hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,U_2599),U_2597)),U_2604))
            & hBOOL(hAPP_f483496539l_bool(hAPP_P7095645l_bool(member1601084734t_char,hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,U_2599),U_2597)),U_2606)) )
        | ? [U_2598,U_2596] :
            ( ~ hBOOL(hAPP_f483496539l_bool(hAPP_P7095645l_bool(member1601084734t_char,hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,U_2598),U_2596)),U_2606))
            & hBOOL(hAPP_f483496539l_bool(hAPP_P7095645l_bool(member1601084734t_char,hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,U_2598),U_2596)),U_2604)) ) ) ),
    inference(miniscope,[status(thm)],[f_440_2]) ).

fof(f_440_4,plain,
    ( ! [U_2607,U_2605] :
        ( ( ! [U_2603,U_2601] :
              ( hBOOL(hAPP_f483496539l_bool(hAPP_P7095645l_bool(member1601084734t_char,hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,U_2603),U_2601)),U_2605))
              | ~ hBOOL(hAPP_f483496539l_bool(hAPP_P7095645l_bool(member1601084734t_char,hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,U_2603),U_2601)),U_2607)) )
          & ! [U_2602,U_2600] :
              ( hBOOL(hAPP_f483496539l_bool(hAPP_P7095645l_bool(member1601084734t_char,hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,U_2602),U_2600)),U_2607))
              | ~ hBOOL(hAPP_f483496539l_bool(hAPP_P7095645l_bool(member1601084734t_char,hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,U_2602),U_2600)),U_2605)) ) )
        | U_2605 != U_2607 )
    & ! [U_2606,U_2604] :
        ( U_2604 = U_2606
        | ? [U_2599,U_2597] :
            ( ~ hBOOL(hAPP_f483496539l_bool(hAPP_P7095645l_bool(member1601084734t_char,hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,U_2599),U_2597)),U_2604))
            & hBOOL(hAPP_f483496539l_bool(hAPP_P7095645l_bool(member1601084734t_char,hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,U_2599),U_2597)),U_2606)) )
        | ? [U_2596] :
            ( ~ hBOOL(hAPP_f483496539l_bool(hAPP_P7095645l_bool(member1601084734t_char,hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,sK529(U_2606,U_2604)),U_2596)),U_2606))
            & hBOOL(hAPP_f483496539l_bool(hAPP_P7095645l_bool(member1601084734t_char,hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,sK529(U_2606,U_2604)),U_2596)),U_2604)) ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK529]),skolemize(U_2598,sK529(U_2606,U_2604))],[f_440_3]) ).

fof(f_440_5,plain,
    ( ! [U_2607,U_2605] :
        ( ( ! [U_2603,U_2601] :
              ( hBOOL(hAPP_f483496539l_bool(hAPP_P7095645l_bool(member1601084734t_char,hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,U_2603),U_2601)),U_2605))
              | ~ hBOOL(hAPP_f483496539l_bool(hAPP_P7095645l_bool(member1601084734t_char,hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,U_2603),U_2601)),U_2607)) )
          & ! [U_2602,U_2600] :
              ( hBOOL(hAPP_f483496539l_bool(hAPP_P7095645l_bool(member1601084734t_char,hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,U_2602),U_2600)),U_2607))
              | ~ hBOOL(hAPP_f483496539l_bool(hAPP_P7095645l_bool(member1601084734t_char,hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,U_2602),U_2600)),U_2605)) ) )
        | U_2605 != U_2607 )
    & ! [U_2606,U_2604] :
        ( U_2604 = U_2606
        | ? [U_2599,U_2597] :
            ( ~ hBOOL(hAPP_f483496539l_bool(hAPP_P7095645l_bool(member1601084734t_char,hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,U_2599),U_2597)),U_2604))
            & hBOOL(hAPP_f483496539l_bool(hAPP_P7095645l_bool(member1601084734t_char,hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,U_2599),U_2597)),U_2606)) )
        | ( ~ hBOOL(hAPP_f483496539l_bool(hAPP_P7095645l_bool(member1601084734t_char,hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,sK529(U_2606,U_2604)),sK530(U_2606,U_2604))),U_2606))
          & hBOOL(hAPP_f483496539l_bool(hAPP_P7095645l_bool(member1601084734t_char,hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,sK529(U_2606,U_2604)),sK530(U_2606,U_2604))),U_2604)) ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK530]),skolemize(U_2596,sK530(U_2606,U_2604))],[f_440_4]) ).

fof(f_440_6,plain,
    ( ! [U_2607,U_2605] :
        ( ( ! [U_2603,U_2601] :
              ( hBOOL(hAPP_f483496539l_bool(hAPP_P7095645l_bool(member1601084734t_char,hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,U_2603),U_2601)),U_2605))
              | ~ hBOOL(hAPP_f483496539l_bool(hAPP_P7095645l_bool(member1601084734t_char,hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,U_2603),U_2601)),U_2607)) )
          & ! [U_2602,U_2600] :
              ( hBOOL(hAPP_f483496539l_bool(hAPP_P7095645l_bool(member1601084734t_char,hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,U_2602),U_2600)),U_2607))
              | ~ hBOOL(hAPP_f483496539l_bool(hAPP_P7095645l_bool(member1601084734t_char,hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,U_2602),U_2600)),U_2605)) ) )
        | U_2605 != U_2607 )
    & ! [U_2606,U_2604] :
        ( U_2604 = U_2606
        | ? [U_2597] :
            ( ~ hBOOL(hAPP_f483496539l_bool(hAPP_P7095645l_bool(member1601084734t_char,hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,sK531(U_2606,U_2604)),U_2597)),U_2604))
            & hBOOL(hAPP_f483496539l_bool(hAPP_P7095645l_bool(member1601084734t_char,hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,sK531(U_2606,U_2604)),U_2597)),U_2606)) )
        | ( ~ hBOOL(hAPP_f483496539l_bool(hAPP_P7095645l_bool(member1601084734t_char,hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,sK529(U_2606,U_2604)),sK530(U_2606,U_2604))),U_2606))
          & hBOOL(hAPP_f483496539l_bool(hAPP_P7095645l_bool(member1601084734t_char,hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,sK529(U_2606,U_2604)),sK530(U_2606,U_2604))),U_2604)) ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK531]),skolemize(U_2599,sK531(U_2606,U_2604))],[f_440_5]) ).

fof(f_440_7,plain,
    ( ! [U_2607,U_2605] :
        ( ( ! [U_2603,U_2601] :
              ( hBOOL(hAPP_f483496539l_bool(hAPP_P7095645l_bool(member1601084734t_char,hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,U_2603),U_2601)),U_2605))
              | ~ hBOOL(hAPP_f483496539l_bool(hAPP_P7095645l_bool(member1601084734t_char,hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,U_2603),U_2601)),U_2607)) )
          & ! [U_2602,U_2600] :
              ( hBOOL(hAPP_f483496539l_bool(hAPP_P7095645l_bool(member1601084734t_char,hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,U_2602),U_2600)),U_2607))
              | ~ hBOOL(hAPP_f483496539l_bool(hAPP_P7095645l_bool(member1601084734t_char,hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,U_2602),U_2600)),U_2605)) ) )
        | U_2605 != U_2607 )
    & ! [U_2606,U_2604] :
        ( U_2604 = U_2606
        | ( ~ hBOOL(hAPP_f483496539l_bool(hAPP_P7095645l_bool(member1601084734t_char,hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,sK531(U_2606,U_2604)),sK532(U_2606,U_2604))),U_2604))
          & hBOOL(hAPP_f483496539l_bool(hAPP_P7095645l_bool(member1601084734t_char,hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,sK531(U_2606,U_2604)),sK532(U_2606,U_2604))),U_2606)) )
        | ( ~ hBOOL(hAPP_f483496539l_bool(hAPP_P7095645l_bool(member1601084734t_char,hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,sK529(U_2606,U_2604)),sK530(U_2606,U_2604))),U_2606))
          & hBOOL(hAPP_f483496539l_bool(hAPP_P7095645l_bool(member1601084734t_char,hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,sK529(U_2606,U_2604)),sK530(U_2606,U_2604))),U_2604)) ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK532]),skolemize(U_2597,sK532(U_2606,U_2604))],[f_440_6]) ).

cnf(f_440_8,plain,
    ( hBOOL(hAPP_f483496539l_bool(hAPP_P7095645l_bool(member1601084734t_char,hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,sK531(U_2606,U_2604)),sK532(U_2606,U_2604))),U_2606))
    | hBOOL(hAPP_f483496539l_bool(hAPP_P7095645l_bool(member1601084734t_char,hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,sK529(U_2606,U_2604)),sK530(U_2606,U_2604))),U_2604))
    | U_2604 = U_2606 ),
    inference(clausify,[status(thm)],[f_440_7]) ).

cnf(f_440_9,plain,
    ( ~ hBOOL(hAPP_f483496539l_bool(hAPP_P7095645l_bool(member1601084734t_char,hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,sK531(U_2606,U_2604)),sK532(U_2606,U_2604))),U_2604))
    | hBOOL(hAPP_f483496539l_bool(hAPP_P7095645l_bool(member1601084734t_char,hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,sK529(U_2606,U_2604)),sK530(U_2606,U_2604))),U_2604))
    | U_2604 = U_2606 ),
    inference(clausify,[status(thm)],[f_440_7]) ).

cnf(f_440_10,plain,
    ( hBOOL(hAPP_f483496539l_bool(hAPP_P7095645l_bool(member1601084734t_char,hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,sK531(U_2606,U_2604)),sK532(U_2606,U_2604))),U_2606))
    | ~ hBOOL(hAPP_f483496539l_bool(hAPP_P7095645l_bool(member1601084734t_char,hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,sK529(U_2606,U_2604)),sK530(U_2606,U_2604))),U_2606))
    | U_2604 = U_2606 ),
    inference(clausify,[status(thm)],[f_440_7]) ).

cnf(f_440_11,plain,
    ( ~ hBOOL(hAPP_f483496539l_bool(hAPP_P7095645l_bool(member1601084734t_char,hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,sK531(U_2606,U_2604)),sK532(U_2606,U_2604))),U_2604))
    | ~ hBOOL(hAPP_f483496539l_bool(hAPP_P7095645l_bool(member1601084734t_char,hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,sK529(U_2606,U_2604)),sK530(U_2606,U_2604))),U_2606))
    | U_2604 = U_2606 ),
    inference(clausify,[status(thm)],[f_440_7]) ).

cnf(f_440_12,plain,
    ( hBOOL(hAPP_f483496539l_bool(hAPP_P7095645l_bool(member1601084734t_char,hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,U_2602),U_2600)),U_2607))
    | ~ hBOOL(hAPP_f483496539l_bool(hAPP_P7095645l_bool(member1601084734t_char,hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,U_2602),U_2600)),U_2605))
    | U_2605 != U_2607 ),
    inference(clausify,[status(thm)],[f_440_7]) ).

cnf(f_440_13,plain,
    ( hBOOL(hAPP_f483496539l_bool(hAPP_P7095645l_bool(member1601084734t_char,hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,U_2603),U_2601)),U_2605))
    | ~ hBOOL(hAPP_f483496539l_bool(hAPP_P7095645l_bool(member1601084734t_char,hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,U_2603),U_2601)),U_2607))
    | U_2605 != U_2607 ),
    inference(clausify,[status(thm)],[f_440_7]) ).

fof(f_441_1,plain,
    ! [Y_4] :
    ? [A_1,B_2] : Y_4 = hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,A_1),B_2),
    inference(fof_nnf,[status(thm)],[fact_299_prod_Oexhaust]) ).

fof(f_441_2,plain,
    ! [U_2610] :
    ? [U_2609,U_2608] : U_2610 = hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_2609),U_2608),
    inference(variable_rename,[status(thm)],[f_441_1]) ).

fof(f_441_3,plain,
    ! [U_2610] :
    ? [U_2608] : U_2610 = hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,sK533(U_2610)),U_2608),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK533]),skolemize(U_2609,sK533(U_2610))],[f_441_2]) ).

fof(f_441_4,plain,
    ! [U_2610] : U_2610 = hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,sK533(U_2610)),sK534(U_2610)),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK534]),skolemize(U_2608,sK534(U_2610))],[f_441_3]) ).

cnf(f_441_5,plain,
    U_2610 = hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,sK533(U_2610)),sK534(U_2610)),
    inference(clausify,[status(thm)],[f_441_4]) ).

fof(f_442_1,plain,
    ! [Y_4] :
    ? [A_1,B_2] : Y_4 = hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,A_1),B_2),
    inference(fof_nnf,[status(thm)],[fact_300_prod_Oexhaust]) ).

fof(f_442_2,plain,
    ! [U_2613] :
    ? [U_2612,U_2611] : U_2613 = hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_2612),U_2611),
    inference(variable_rename,[status(thm)],[f_442_1]) ).

fof(f_442_3,plain,
    ! [U_2613] :
    ? [U_2611] : U_2613 = hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,sK535(U_2613)),U_2611),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK535]),skolemize(U_2612,sK535(U_2613))],[f_442_2]) ).

fof(f_442_4,plain,
    ! [U_2613] : U_2613 = hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,sK535(U_2613)),sK536(U_2613)),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK536]),skolemize(U_2611,sK536(U_2613))],[f_442_3]) ).

cnf(f_442_5,plain,
    U_2613 = hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,sK535(U_2613)),sK536(U_2613)),
    inference(clausify,[status(thm)],[f_442_4]) ).

fof(f_443_1,plain,
    ! [Y_4] :
    ? [A_1,B_2] : Y_4 = hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,A_1),B_2),
    inference(fof_nnf,[status(thm)],[fact_301_prod_Oexhaust]) ).

fof(f_443_2,plain,
    ! [U_2616] :
    ? [U_2615,U_2614] : U_2616 = hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_2615),U_2614),
    inference(variable_rename,[status(thm)],[f_443_1]) ).

fof(f_443_3,plain,
    ! [U_2616] :
    ? [U_2614] : U_2616 = hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,sK537(U_2616)),U_2614),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK537]),skolemize(U_2615,sK537(U_2616))],[f_443_2]) ).

fof(f_443_4,plain,
    ! [U_2616] : U_2616 = hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,sK537(U_2616)),sK538(U_2616)),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK538]),skolemize(U_2614,sK538(U_2616))],[f_443_3]) ).

cnf(f_443_5,plain,
    U_2616 = hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,sK537(U_2616)),sK538(U_2616)),
    inference(clausify,[status(thm)],[f_443_4]) ).

fof(f_444_1,plain,
    ! [Y_4] :
    ? [A_1,B_2] : Y_4 = hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,A_1),B_2),
    inference(fof_nnf,[status(thm)],[fact_302_prod_Oexhaust]) ).

fof(f_444_2,plain,
    ! [U_2619] :
    ? [U_2618,U_2617] : U_2619 = hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_2618),U_2617),
    inference(variable_rename,[status(thm)],[f_444_1]) ).

fof(f_444_3,plain,
    ! [U_2619] :
    ? [U_2617] : U_2619 = hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,sK539(U_2619)),U_2617),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK539]),skolemize(U_2618,sK539(U_2619))],[f_444_2]) ).

fof(f_444_4,plain,
    ! [U_2619] : U_2619 = hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,sK539(U_2619)),sK540(U_2619)),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK540]),skolemize(U_2617,sK540(U_2619))],[f_444_3]) ).

cnf(f_444_5,plain,
    U_2619 = hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,sK539(U_2619)),sK540(U_2619)),
    inference(clausify,[status(thm)],[f_444_4]) ).

fof(f_445_1,plain,
    ! [Y_4] :
    ? [A_1,B_2] : Y_4 = hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,A_1),B_2),
    inference(fof_nnf,[status(thm)],[fact_303_prod_Oexhaust]) ).

fof(f_445_2,plain,
    ! [U_2622] :
    ? [U_2621,U_2620] : U_2622 = hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_2621),U_2620),
    inference(variable_rename,[status(thm)],[f_445_1]) ).

fof(f_445_3,plain,
    ! [U_2622] :
    ? [U_2620] : U_2622 = hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,sK541(U_2622)),U_2620),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK541]),skolemize(U_2621,sK541(U_2622))],[f_445_2]) ).

fof(f_445_4,plain,
    ! [U_2622] : U_2622 = hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,sK541(U_2622)),sK542(U_2622)),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK542]),skolemize(U_2620,sK542(U_2622))],[f_445_3]) ).

cnf(f_445_5,plain,
    U_2622 = hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,sK541(U_2622)),sK542(U_2622)),
    inference(clausify,[status(thm)],[f_445_4]) ).

fof(f_446_1,plain,
    ! [Y_4] :
    ? [A_1,B_2] : Y_4 = hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,A_1),B_2),
    inference(fof_nnf,[status(thm)],[fact_304_prod_Oexhaust]) ).

fof(f_446_2,plain,
    ! [U_2625] :
    ? [U_2624,U_2623] : U_2625 = hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_2624),U_2623),
    inference(variable_rename,[status(thm)],[f_446_1]) ).

fof(f_446_3,plain,
    ! [U_2625] :
    ? [U_2623] : U_2625 = hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,sK543(U_2625)),U_2623),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK543]),skolemize(U_2624,sK543(U_2625))],[f_446_2]) ).

fof(f_446_4,plain,
    ! [U_2625] : U_2625 = hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,sK543(U_2625)),sK544(U_2625)),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK544]),skolemize(U_2623,sK544(U_2625))],[f_446_3]) ).

cnf(f_446_5,plain,
    U_2625 = hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,sK543(U_2625)),sK544(U_2625)),
    inference(clausify,[status(thm)],[f_446_4]) ).

fof(f_447_1,plain,
    ! [Y_4] :
    ? [A_1,B_2] : Y_4 = hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,A_1),B_2),
    inference(fof_nnf,[status(thm)],[fact_305_prod_Oexhaust]) ).

fof(f_447_2,plain,
    ! [U_2628] :
    ? [U_2627,U_2626] : U_2628 = hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_2627),U_2626),
    inference(variable_rename,[status(thm)],[f_447_1]) ).

fof(f_447_3,plain,
    ! [U_2628] :
    ? [U_2626] : U_2628 = hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,sK545(U_2628)),U_2626),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK545]),skolemize(U_2627,sK545(U_2628))],[f_447_2]) ).

fof(f_447_4,plain,
    ! [U_2628] : U_2628 = hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,sK545(U_2628)),sK546(U_2628)),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK546]),skolemize(U_2626,sK546(U_2628))],[f_447_3]) ).

cnf(f_447_5,plain,
    U_2628 = hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,sK545(U_2628)),sK546(U_2628)),
    inference(clausify,[status(thm)],[f_447_4]) ).

fof(f_448_1,plain,
    ! [Y_2] :
    ? [A_1,B_2] : Y_2 = hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,A_1),B_2),
    inference(fof_nnf,[status(thm)],[fact_306_prod_Oexhaust]) ).

fof(f_448_2,plain,
    ! [U_2631] :
    ? [U_2630,U_2629] : U_2631 = hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_2630),U_2629),
    inference(variable_rename,[status(thm)],[f_448_1]) ).

fof(f_448_3,plain,
    ! [U_2631] :
    ? [U_2629] : U_2631 = hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,sK547(U_2631)),U_2629),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK547]),skolemize(U_2630,sK547(U_2631))],[f_448_2]) ).

fof(f_448_4,plain,
    ! [U_2631] : U_2631 = hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,sK547(U_2631)),sK548(U_2631)),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK548]),skolemize(U_2629,sK548(U_2631))],[f_448_3]) ).

cnf(f_448_5,plain,
    U_2631 = hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,sK547(U_2631)),sK548(U_2631)),
    inference(clausify,[status(thm)],[f_448_4]) ).

fof(f_449_1,plain,
    ! [Y_2] :
    ? [A_1,B_2] : Y_2 = hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A_1),B_2),
    inference(fof_nnf,[status(thm)],[fact_307_prod_Oexhaust]) ).

fof(f_449_2,plain,
    ! [U_2634] :
    ? [U_2633,U_2632] : U_2634 = hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_2633),U_2632),
    inference(variable_rename,[status(thm)],[f_449_1]) ).

fof(f_449_3,plain,
    ! [U_2634] :
    ? [U_2632] : U_2634 = hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,sK549(U_2634)),U_2632),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK549]),skolemize(U_2633,sK549(U_2634))],[f_449_2]) ).

fof(f_449_4,plain,
    ! [U_2634] : U_2634 = hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,sK549(U_2634)),sK550(U_2634)),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK550]),skolemize(U_2632,sK550(U_2634))],[f_449_3]) ).

cnf(f_449_5,plain,
    U_2634 = hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,sK549(U_2634)),sK550(U_2634)),
    inference(clausify,[status(thm)],[f_449_4]) ).

fof(f_450_1,plain,
    ! [Y_4] :
    ? [A_1,B_2] : Y_4 = hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A_1),B_2),
    inference(fof_nnf,[status(thm)],[fact_308_prod_Oexhaust]) ).

fof(f_450_2,plain,
    ! [U_2637] :
    ? [U_2636,U_2635] : U_2637 = hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_2636),U_2635),
    inference(variable_rename,[status(thm)],[f_450_1]) ).

fof(f_450_3,plain,
    ! [U_2637] :
    ? [U_2635] : U_2637 = hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,sK551(U_2637)),U_2635),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK551]),skolemize(U_2636,sK551(U_2637))],[f_450_2]) ).

fof(f_450_4,plain,
    ! [U_2637] : U_2637 = hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,sK551(U_2637)),sK552(U_2637)),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK552]),skolemize(U_2635,sK552(U_2637))],[f_450_3]) ).

cnf(f_450_5,plain,
    U_2637 = hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,sK551(U_2637)),sK552(U_2637)),
    inference(clausify,[status(thm)],[f_450_4]) ).

fof(f_451_1,plain,
    ! [Y_4] :
    ? [A_1,B_2] :
      ( Y_4 = hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,A_1),B_2)
      & is_bop(A_1) ),
    inference(fof_nnf,[status(thm)],[fact_309_prod_Oexhaust]) ).

fof(f_451_2,plain,
    ! [U_2640] :
    ? [U_2639,U_2638] :
      ( U_2640 = hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_2639),U_2638)
      & is_bop(U_2639) ),
    inference(variable_rename,[status(thm)],[f_451_1]) ).

fof(f_451_3,plain,
    ! [U_2640] :
    ? [U_2639] :
      ( ? [U_2638] : U_2640 = hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_2639),U_2638)
      & is_bop(U_2639) ),
    inference(miniscope,[status(thm)],[f_451_2]) ).

fof(f_451_4,plain,
    ! [U_2640] :
      ( ? [U_2638] : U_2640 = hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,sK553(U_2640)),U_2638)
      & is_bop(sK553(U_2640)) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK553]),skolemize(U_2639,sK553(U_2640))],[f_451_3]) ).

fof(f_451_5,plain,
    ! [U_2640] :
      ( U_2640 = hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,sK553(U_2640)),sK554(U_2640))
      & is_bop(sK553(U_2640)) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK554]),skolemize(U_2638,sK554(U_2640))],[f_451_4]) ).

cnf(f_451_6,plain,
    is_bop(sK553(U_2640)),
    inference(clausify,[status(thm)],[f_451_5]) ).

cnf(f_451_7,plain,
    U_2640 = hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,sK553(U_2640)),sK554(U_2640)),
    inference(clausify,[status(thm)],[f_451_5]) ).

fof(f_452_1,plain,
    ! [Y_4] :
    ? [A_1,B_2] : Y_4 = hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A_1),B_2),
    inference(fof_nnf,[status(thm)],[fact_310_prod_Oexhaust]) ).

fof(f_452_2,plain,
    ! [U_2643] :
    ? [U_2642,U_2641] : U_2643 = hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_2642),U_2641),
    inference(variable_rename,[status(thm)],[f_452_1]) ).

fof(f_452_3,plain,
    ! [U_2643] :
    ? [U_2641] : U_2643 = hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,sK555(U_2643)),U_2641),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK555]),skolemize(U_2642,sK555(U_2643))],[f_452_2]) ).

fof(f_452_4,plain,
    ! [U_2643] : U_2643 = hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,sK555(U_2643)),sK556(U_2643)),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK556]),skolemize(U_2641,sK556(U_2643))],[f_452_3]) ).

cnf(f_452_5,plain,
    U_2643 = hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,sK555(U_2643)),sK556(U_2643)),
    inference(clausify,[status(thm)],[f_452_4]) ).

fof(f_453_1,plain,
    ! [Y_2] :
    ? [A_1,B_2] : Y_2 = hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,A_1),B_2),
    inference(fof_nnf,[status(thm)],[fact_311_prod_Oexhaust]) ).

fof(f_453_2,plain,
    ! [U_2646] :
    ? [U_2645,U_2644] : U_2646 = hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_2645),U_2644),
    inference(variable_rename,[status(thm)],[f_453_1]) ).

fof(f_453_3,plain,
    ! [U_2646] :
    ? [U_2644] : U_2646 = hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,sK557(U_2646)),U_2644),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK557]),skolemize(U_2645,sK557(U_2646))],[f_453_2]) ).

fof(f_453_4,plain,
    ! [U_2646] : U_2646 = hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,sK557(U_2646)),sK558(U_2646)),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK558]),skolemize(U_2644,sK558(U_2646))],[f_453_3]) ).

cnf(f_453_5,plain,
    U_2646 = hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,sK557(U_2646)),sK558(U_2646)),
    inference(clausify,[status(thm)],[f_453_4]) ).

fof(f_454_1,plain,
    ! [Y_2] :
    ? [A_1,B_2] : Y_2 = hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A_1),B_2),
    inference(fof_nnf,[status(thm)],[fact_312_prod_Oexhaust]) ).

fof(f_454_2,plain,
    ! [U_2649] :
    ? [U_2648,U_2647] : U_2649 = hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_2648),U_2647),
    inference(variable_rename,[status(thm)],[f_454_1]) ).

fof(f_454_3,plain,
    ! [U_2649] :
    ? [U_2647] : U_2649 = hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK559(U_2649)),U_2647),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK559]),skolemize(U_2648,sK559(U_2649))],[f_454_2]) ).

fof(f_454_4,plain,
    ! [U_2649] : U_2649 = hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK559(U_2649)),sK560(U_2649)),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK560]),skolemize(U_2647,sK560(U_2649))],[f_454_3]) ).

cnf(f_454_5,plain,
    U_2649 = hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK559(U_2649)),sK560(U_2649)),
    inference(clausify,[status(thm)],[f_454_4]) ).

fof(f_455_1,plain,
    ! [Y_2] :
    ? [A_1,B_2] : Y_2 = hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A_1),B_2),
    inference(fof_nnf,[status(thm)],[fact_313_prod_Oexhaust]) ).

fof(f_455_2,plain,
    ! [U_2652] :
    ? [U_2651,U_2650] : U_2652 = hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_2651),U_2650),
    inference(variable_rename,[status(thm)],[f_455_1]) ).

fof(f_455_3,plain,
    ! [U_2652] :
    ? [U_2650] : U_2652 = hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK561(U_2652)),U_2650),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK561]),skolemize(U_2651,sK561(U_2652))],[f_455_2]) ).

fof(f_455_4,plain,
    ! [U_2652] : U_2652 = hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK561(U_2652)),sK562(U_2652)),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK562]),skolemize(U_2650,sK562(U_2652))],[f_455_3]) ).

cnf(f_455_5,plain,
    U_2652 = hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK561(U_2652)),sK562(U_2652)),
    inference(clausify,[status(thm)],[f_455_4]) ).

fof(f_456_1,plain,
    ! [Y_2] :
    ? [A_1,B_2] : Y_2 = hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_1),B_2),
    inference(fof_nnf,[status(thm)],[fact_314_prod_Oexhaust]) ).

fof(f_456_2,plain,
    ! [U_2655] :
    ? [U_2654,U_2653] : U_2655 = hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_2654),U_2653),
    inference(variable_rename,[status(thm)],[f_456_1]) ).

fof(f_456_3,plain,
    ! [U_2655] :
    ? [U_2653] : U_2655 = hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK563(U_2655)),U_2653),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK563]),skolemize(U_2654,sK563(U_2655))],[f_456_2]) ).

fof(f_456_4,plain,
    ! [U_2655] : U_2655 = hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK563(U_2655)),sK564(U_2655)),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK564]),skolemize(U_2653,sK564(U_2655))],[f_456_3]) ).

cnf(f_456_5,plain,
    U_2655 = hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK563(U_2655)),sK564(U_2655)),
    inference(clausify,[status(thm)],[f_456_4]) ).

fof(f_457_1,plain,
    ! [P_3] :
    ? [X_1,Y_1] : P_3 = hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,X_1),Y_1),
    inference(fof_nnf,[status(thm)],[fact_315_PairE]) ).

fof(f_457_2,plain,
    ! [U_2658] :
    ? [U_2657,U_2656] : U_2658 = hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_2657),U_2656),
    inference(variable_rename,[status(thm)],[f_457_1]) ).

fof(f_457_3,plain,
    ! [U_2658] :
    ? [U_2656] : U_2658 = hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,sK565(U_2658)),U_2656),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK565]),skolemize(U_2657,sK565(U_2658))],[f_457_2]) ).

fof(f_457_4,plain,
    ! [U_2658] : U_2658 = hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,sK565(U_2658)),sK566(U_2658)),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK566]),skolemize(U_2656,sK566(U_2658))],[f_457_3]) ).

cnf(f_457_5,plain,
    U_2658 = hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,sK565(U_2658)),sK566(U_2658)),
    inference(clausify,[status(thm)],[f_457_4]) ).

fof(f_458_1,plain,
    ! [P_3] :
    ? [X_1,Y_1] : P_3 = hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,X_1),Y_1),
    inference(fof_nnf,[status(thm)],[fact_316_PairE]) ).

fof(f_458_2,plain,
    ! [U_2661] :
    ? [U_2660,U_2659] : U_2661 = hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_2660),U_2659),
    inference(variable_rename,[status(thm)],[f_458_1]) ).

fof(f_458_3,plain,
    ! [U_2661] :
    ? [U_2659] : U_2661 = hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,sK567(U_2661)),U_2659),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK567]),skolemize(U_2660,sK567(U_2661))],[f_458_2]) ).

fof(f_458_4,plain,
    ! [U_2661] : U_2661 = hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,sK567(U_2661)),sK568(U_2661)),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK568]),skolemize(U_2659,sK568(U_2661))],[f_458_3]) ).

cnf(f_458_5,plain,
    U_2661 = hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,sK567(U_2661)),sK568(U_2661)),
    inference(clausify,[status(thm)],[f_458_4]) ).

fof(f_459_1,plain,
    ! [P_3] :
    ? [X_1,Y_1] : P_3 = hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,X_1),Y_1),
    inference(fof_nnf,[status(thm)],[fact_317_PairE]) ).

fof(f_459_2,plain,
    ! [U_2664] :
    ? [U_2663,U_2662] : U_2664 = hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_2663),U_2662),
    inference(variable_rename,[status(thm)],[f_459_1]) ).

fof(f_459_3,plain,
    ! [U_2664] :
    ? [U_2662] : U_2664 = hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,sK569(U_2664)),U_2662),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK569]),skolemize(U_2663,sK569(U_2664))],[f_459_2]) ).

fof(f_459_4,plain,
    ! [U_2664] : U_2664 = hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,sK569(U_2664)),sK570(U_2664)),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK570]),skolemize(U_2662,sK570(U_2664))],[f_459_3]) ).

cnf(f_459_5,plain,
    U_2664 = hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,sK569(U_2664)),sK570(U_2664)),
    inference(clausify,[status(thm)],[f_459_4]) ).

fof(f_460_1,plain,
    ! [P_3] :
    ? [X_1,Y_1] : P_3 = hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,X_1),Y_1),
    inference(fof_nnf,[status(thm)],[fact_318_PairE]) ).

fof(f_460_2,plain,
    ! [U_2667] :
    ? [U_2666,U_2665] : U_2667 = hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_2666),U_2665),
    inference(variable_rename,[status(thm)],[f_460_1]) ).

fof(f_460_3,plain,
    ! [U_2667] :
    ? [U_2665] : U_2667 = hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,sK571(U_2667)),U_2665),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK571]),skolemize(U_2666,sK571(U_2667))],[f_460_2]) ).

fof(f_460_4,plain,
    ! [U_2667] : U_2667 = hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,sK571(U_2667)),sK572(U_2667)),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK572]),skolemize(U_2665,sK572(U_2667))],[f_460_3]) ).

cnf(f_460_5,plain,
    U_2667 = hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,sK571(U_2667)),sK572(U_2667)),
    inference(clausify,[status(thm)],[f_460_4]) ).

fof(f_461_1,plain,
    ! [P_3] :
    ? [X_1,Y_1] : P_3 = hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,X_1),Y_1),
    inference(fof_nnf,[status(thm)],[fact_319_PairE]) ).

fof(f_461_2,plain,
    ! [U_2670] :
    ? [U_2669,U_2668] : U_2670 = hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_2669),U_2668),
    inference(variable_rename,[status(thm)],[f_461_1]) ).

fof(f_461_3,plain,
    ! [U_2670] :
    ? [U_2668] : U_2670 = hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,sK573(U_2670)),U_2668),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK573]),skolemize(U_2669,sK573(U_2670))],[f_461_2]) ).

fof(f_461_4,plain,
    ! [U_2670] : U_2670 = hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,sK573(U_2670)),sK574(U_2670)),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK574]),skolemize(U_2668,sK574(U_2670))],[f_461_3]) ).

cnf(f_461_5,plain,
    U_2670 = hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,sK573(U_2670)),sK574(U_2670)),
    inference(clausify,[status(thm)],[f_461_4]) ).

fof(f_462_1,plain,
    ! [P_3] :
    ? [X_1,Y_1] : P_3 = hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,X_1),Y_1),
    inference(fof_nnf,[status(thm)],[fact_320_PairE]) ).

fof(f_462_2,plain,
    ! [U_2673] :
    ? [U_2672,U_2671] : U_2673 = hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_2672),U_2671),
    inference(variable_rename,[status(thm)],[f_462_1]) ).

fof(f_462_3,plain,
    ! [U_2673] :
    ? [U_2671] : U_2673 = hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,sK575(U_2673)),U_2671),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK575]),skolemize(U_2672,sK575(U_2673))],[f_462_2]) ).

fof(f_462_4,plain,
    ! [U_2673] : U_2673 = hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,sK575(U_2673)),sK576(U_2673)),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK576]),skolemize(U_2671,sK576(U_2673))],[f_462_3]) ).

cnf(f_462_5,plain,
    U_2673 = hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,sK575(U_2673)),sK576(U_2673)),
    inference(clausify,[status(thm)],[f_462_4]) ).

fof(f_463_1,plain,
    ! [P_3] :
    ? [X_1,Y_1] : P_3 = hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,X_1),Y_1),
    inference(fof_nnf,[status(thm)],[fact_321_PairE]) ).

fof(f_463_2,plain,
    ! [U_2676] :
    ? [U_2675,U_2674] : U_2676 = hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_2675),U_2674),
    inference(variable_rename,[status(thm)],[f_463_1]) ).

fof(f_463_3,plain,
    ! [U_2676] :
    ? [U_2674] : U_2676 = hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,sK577(U_2676)),U_2674),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK577]),skolemize(U_2675,sK577(U_2676))],[f_463_2]) ).

fof(f_463_4,plain,
    ! [U_2676] : U_2676 = hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,sK577(U_2676)),sK578(U_2676)),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK578]),skolemize(U_2674,sK578(U_2676))],[f_463_3]) ).

cnf(f_463_5,plain,
    U_2676 = hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,sK577(U_2676)),sK578(U_2676)),
    inference(clausify,[status(thm)],[f_463_4]) ).

fof(f_464_1,plain,
    ! [P_1] :
    ? [X_1,Y_1] : P_1 = hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,X_1),Y_1),
    inference(fof_nnf,[status(thm)],[fact_322_PairE]) ).

fof(f_464_2,plain,
    ! [U_2679] :
    ? [U_2678,U_2677] : U_2679 = hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_2678),U_2677),
    inference(variable_rename,[status(thm)],[f_464_1]) ).

fof(f_464_3,plain,
    ! [U_2679] :
    ? [U_2677] : U_2679 = hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,sK579(U_2679)),U_2677),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK579]),skolemize(U_2678,sK579(U_2679))],[f_464_2]) ).

fof(f_464_4,plain,
    ! [U_2679] : U_2679 = hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,sK579(U_2679)),sK580(U_2679)),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK580]),skolemize(U_2677,sK580(U_2679))],[f_464_3]) ).

cnf(f_464_5,plain,
    U_2679 = hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,sK579(U_2679)),sK580(U_2679)),
    inference(clausify,[status(thm)],[f_464_4]) ).

fof(f_465_1,plain,
    ! [P_1] :
    ? [X_1,Y_1] : P_1 = hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,X_1),Y_1),
    inference(fof_nnf,[status(thm)],[fact_323_PairE]) ).

fof(f_465_2,plain,
    ! [U_2682] :
    ? [U_2681,U_2680] : U_2682 = hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_2681),U_2680),
    inference(variable_rename,[status(thm)],[f_465_1]) ).

fof(f_465_3,plain,
    ! [U_2682] :
    ? [U_2680] : U_2682 = hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,sK581(U_2682)),U_2680),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK581]),skolemize(U_2681,sK581(U_2682))],[f_465_2]) ).

fof(f_465_4,plain,
    ! [U_2682] : U_2682 = hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,sK581(U_2682)),sK582(U_2682)),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK582]),skolemize(U_2680,sK582(U_2682))],[f_465_3]) ).

cnf(f_465_5,plain,
    U_2682 = hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,sK581(U_2682)),sK582(U_2682)),
    inference(clausify,[status(thm)],[f_465_4]) ).

fof(f_466_1,plain,
    ! [P_3] :
    ? [X_1,Y_1] : P_3 = hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,X_1),Y_1),
    inference(fof_nnf,[status(thm)],[fact_324_PairE]) ).

fof(f_466_2,plain,
    ! [U_2685] :
    ? [U_2684,U_2683] : U_2685 = hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_2684),U_2683),
    inference(variable_rename,[status(thm)],[f_466_1]) ).

fof(f_466_3,plain,
    ! [U_2685] :
    ? [U_2683] : U_2685 = hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,sK583(U_2685)),U_2683),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK583]),skolemize(U_2684,sK583(U_2685))],[f_466_2]) ).

fof(f_466_4,plain,
    ! [U_2685] : U_2685 = hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,sK583(U_2685)),sK584(U_2685)),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK584]),skolemize(U_2683,sK584(U_2685))],[f_466_3]) ).

cnf(f_466_5,plain,
    U_2685 = hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,sK583(U_2685)),sK584(U_2685)),
    inference(clausify,[status(thm)],[f_466_4]) ).

fof(f_467_1,plain,
    ! [P_3] :
    ? [X_1,Y_1] :
      ( P_3 = hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,X_1),Y_1)
      & is_bop(X_1) ),
    inference(fof_nnf,[status(thm)],[fact_325_PairE]) ).

fof(f_467_2,plain,
    ! [U_2688] :
    ? [U_2687,U_2686] :
      ( U_2688 = hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_2687),U_2686)
      & is_bop(U_2687) ),
    inference(variable_rename,[status(thm)],[f_467_1]) ).

fof(f_467_3,plain,
    ! [U_2688] :
    ? [U_2687] :
      ( ? [U_2686] : U_2688 = hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_2687),U_2686)
      & is_bop(U_2687) ),
    inference(miniscope,[status(thm)],[f_467_2]) ).

fof(f_467_4,plain,
    ! [U_2688] :
      ( ? [U_2686] : U_2688 = hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,sK585(U_2688)),U_2686)
      & is_bop(sK585(U_2688)) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK585]),skolemize(U_2687,sK585(U_2688))],[f_467_3]) ).

fof(f_467_5,plain,
    ! [U_2688] :
      ( U_2688 = hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,sK585(U_2688)),sK586(U_2688))
      & is_bop(sK585(U_2688)) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK586]),skolemize(U_2686,sK586(U_2688))],[f_467_4]) ).

cnf(f_467_6,plain,
    is_bop(sK585(U_2688)),
    inference(clausify,[status(thm)],[f_467_5]) ).

cnf(f_467_7,plain,
    U_2688 = hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,sK585(U_2688)),sK586(U_2688)),
    inference(clausify,[status(thm)],[f_467_5]) ).

fof(f_468_1,plain,
    ! [P_3] :
    ? [X_1,Y_1] : P_3 = hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,X_1),Y_1),
    inference(fof_nnf,[status(thm)],[fact_326_PairE]) ).

fof(f_468_2,plain,
    ! [U_2691] :
    ? [U_2690,U_2689] : U_2691 = hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_2690),U_2689),
    inference(variable_rename,[status(thm)],[f_468_1]) ).

fof(f_468_3,plain,
    ! [U_2691] :
    ? [U_2689] : U_2691 = hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,sK587(U_2691)),U_2689),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK587]),skolemize(U_2690,sK587(U_2691))],[f_468_2]) ).

fof(f_468_4,plain,
    ! [U_2691] : U_2691 = hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,sK587(U_2691)),sK588(U_2691)),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK588]),skolemize(U_2689,sK588(U_2691))],[f_468_3]) ).

cnf(f_468_5,plain,
    U_2691 = hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,sK587(U_2691)),sK588(U_2691)),
    inference(clausify,[status(thm)],[f_468_4]) ).

fof(f_469_1,plain,
    ! [P_1] :
    ? [X_1,Y_1] : P_1 = hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,X_1),Y_1),
    inference(fof_nnf,[status(thm)],[fact_327_PairE]) ).

fof(f_469_2,plain,
    ! [U_2694] :
    ? [U_2693,U_2692] : U_2694 = hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_2693),U_2692),
    inference(variable_rename,[status(thm)],[f_469_1]) ).

fof(f_469_3,plain,
    ! [U_2694] :
    ? [U_2692] : U_2694 = hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,sK589(U_2694)),U_2692),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK589]),skolemize(U_2693,sK589(U_2694))],[f_469_2]) ).

fof(f_469_4,plain,
    ! [U_2694] : U_2694 = hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,sK589(U_2694)),sK590(U_2694)),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK590]),skolemize(U_2692,sK590(U_2694))],[f_469_3]) ).

cnf(f_469_5,plain,
    U_2694 = hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,sK589(U_2694)),sK590(U_2694)),
    inference(clausify,[status(thm)],[f_469_4]) ).

fof(f_470_1,plain,
    ! [P_1] :
    ? [X_1,Y_1] : P_1 = hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,X_1),Y_1),
    inference(fof_nnf,[status(thm)],[fact_328_PairE]) ).

fof(f_470_2,plain,
    ! [U_2697] :
    ? [U_2696,U_2695] : U_2697 = hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_2696),U_2695),
    inference(variable_rename,[status(thm)],[f_470_1]) ).

fof(f_470_3,plain,
    ! [U_2697] :
    ? [U_2695] : U_2697 = hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK591(U_2697)),U_2695),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK591]),skolemize(U_2696,sK591(U_2697))],[f_470_2]) ).

fof(f_470_4,plain,
    ! [U_2697] : U_2697 = hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK591(U_2697)),sK592(U_2697)),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK592]),skolemize(U_2695,sK592(U_2697))],[f_470_3]) ).

cnf(f_470_5,plain,
    U_2697 = hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK591(U_2697)),sK592(U_2697)),
    inference(clausify,[status(thm)],[f_470_4]) ).

fof(f_471_1,plain,
    ! [P_1] :
    ? [X_1,Y_1] : P_1 = hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,X_1),Y_1),
    inference(fof_nnf,[status(thm)],[fact_329_PairE]) ).

fof(f_471_2,plain,
    ! [U_2700] :
    ? [U_2699,U_2698] : U_2700 = hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_2699),U_2698),
    inference(variable_rename,[status(thm)],[f_471_1]) ).

fof(f_471_3,plain,
    ! [U_2700] :
    ? [U_2698] : U_2700 = hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK593(U_2700)),U_2698),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK593]),skolemize(U_2699,sK593(U_2700))],[f_471_2]) ).

fof(f_471_4,plain,
    ! [U_2700] : U_2700 = hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK593(U_2700)),sK594(U_2700)),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK594]),skolemize(U_2698,sK594(U_2700))],[f_471_3]) ).

cnf(f_471_5,plain,
    U_2700 = hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK593(U_2700)),sK594(U_2700)),
    inference(clausify,[status(thm)],[f_471_4]) ).

fof(f_472_1,plain,
    ! [P_1] :
    ? [X_1,Y_1] : P_1 = hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,X_1),Y_1),
    inference(fof_nnf,[status(thm)],[fact_330_PairE]) ).

fof(f_472_2,plain,
    ! [U_2703] :
    ? [U_2702,U_2701] : U_2703 = hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_2702),U_2701),
    inference(variable_rename,[status(thm)],[f_472_1]) ).

fof(f_472_3,plain,
    ! [U_2703] :
    ? [U_2701] : U_2703 = hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK595(U_2703)),U_2701),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK595]),skolemize(U_2702,sK595(U_2703))],[f_472_2]) ).

fof(f_472_4,plain,
    ! [U_2703] : U_2703 = hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK595(U_2703)),sK596(U_2703)),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK596]),skolemize(U_2701,sK596(U_2703))],[f_472_3]) ).

cnf(f_472_5,plain,
    U_2703 = hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK595(U_2703)),sK596(U_2703)),
    inference(clausify,[status(thm)],[f_472_4]) ).

fof(f_473_1,plain,
    ! [Pa] :
      ( ( ? [X1] : hBOOL(hAPP_P2014166431r_bool(Pa,X1))
        | ! [A_1,B_2] : ~ hBOOL(hAPP_P2014166431r_bool(Pa,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,A_1),B_2))) )
      & ( ? [A_1,B_2] : hBOOL(hAPP_P2014166431r_bool(Pa,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,A_1),B_2)))
        | ! [X1] : ~ hBOOL(hAPP_P2014166431r_bool(Pa,X1)) ) ),
    inference(fof_nnf,[status(thm)],[fact_331_split__paired__Ex]) ).

fof(f_473_2,plain,
    ! [U_2710] :
      ( ( ? [U_2709] : hBOOL(hAPP_P2014166431r_bool(U_2710,U_2709))
        | ! [U_2708,U_2707] : ~ hBOOL(hAPP_P2014166431r_bool(U_2710,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_2708),U_2707))) )
      & ( ? [U_2706,U_2705] : hBOOL(hAPP_P2014166431r_bool(U_2710,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_2706),U_2705)))
        | ! [U_2704] : ~ hBOOL(hAPP_P2014166431r_bool(U_2710,U_2704)) ) ),
    inference(variable_rename,[status(thm)],[f_473_1]) ).

fof(f_473_3,plain,
    ( ! [U_2712] :
        ( ? [U_2709] : hBOOL(hAPP_P2014166431r_bool(U_2712,U_2709))
        | ! [U_2708,U_2707] : ~ hBOOL(hAPP_P2014166431r_bool(U_2712,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_2708),U_2707))) )
    & ! [U_2711] :
        ( ? [U_2706,U_2705] : hBOOL(hAPP_P2014166431r_bool(U_2711,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_2706),U_2705)))
        | ! [U_2704] : ~ hBOOL(hAPP_P2014166431r_bool(U_2711,U_2704)) ) ),
    inference(miniscope,[status(thm)],[f_473_2]) ).

fof(f_473_4,plain,
    ( ! [U_2712] :
        ( ? [U_2709] : hBOOL(hAPP_P2014166431r_bool(U_2712,U_2709))
        | ! [U_2708,U_2707] : ~ hBOOL(hAPP_P2014166431r_bool(U_2712,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_2708),U_2707))) )
    & ! [U_2711] :
        ( ? [U_2705] : hBOOL(hAPP_P2014166431r_bool(U_2711,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,sK597(U_2711)),U_2705)))
        | ! [U_2704] : ~ hBOOL(hAPP_P2014166431r_bool(U_2711,U_2704)) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK597]),skolemize(U_2706,sK597(U_2711))],[f_473_3]) ).

fof(f_473_5,plain,
    ( ! [U_2712] :
        ( ? [U_2709] : hBOOL(hAPP_P2014166431r_bool(U_2712,U_2709))
        | ! [U_2708,U_2707] : ~ hBOOL(hAPP_P2014166431r_bool(U_2712,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_2708),U_2707))) )
    & ! [U_2711] :
        ( hBOOL(hAPP_P2014166431r_bool(U_2711,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,sK597(U_2711)),sK598(U_2711))))
        | ! [U_2704] : ~ hBOOL(hAPP_P2014166431r_bool(U_2711,U_2704)) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK598]),skolemize(U_2705,sK598(U_2711))],[f_473_4]) ).

fof(f_473_6,plain,
    ( ! [U_2712] :
        ( hBOOL(hAPP_P2014166431r_bool(U_2712,sK599(U_2712)))
        | ! [U_2708,U_2707] : ~ hBOOL(hAPP_P2014166431r_bool(U_2712,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_2708),U_2707))) )
    & ! [U_2711] :
        ( hBOOL(hAPP_P2014166431r_bool(U_2711,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,sK597(U_2711)),sK598(U_2711))))
        | ! [U_2704] : ~ hBOOL(hAPP_P2014166431r_bool(U_2711,U_2704)) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK599]),skolemize(U_2709,sK599(U_2712))],[f_473_5]) ).

cnf(f_473_7,plain,
    ( hBOOL(hAPP_P2014166431r_bool(U_2711,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,sK597(U_2711)),sK598(U_2711))))
    | ~ hBOOL(hAPP_P2014166431r_bool(U_2711,U_2704)) ),
    inference(clausify,[status(thm)],[f_473_6]) ).

cnf(f_473_8,plain,
    ( hBOOL(hAPP_P2014166431r_bool(U_2712,sK599(U_2712)))
    | ~ hBOOL(hAPP_P2014166431r_bool(U_2712,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_2708),U_2707))) ),
    inference(clausify,[status(thm)],[f_473_6]) ).

fof(f_474_1,plain,
    ! [Pa] :
      ( ( ? [X1] : hBOOL(hAPP_P828904212r_bool(Pa,X1))
        | ! [A_1,B_2] : ~ hBOOL(hAPP_P828904212r_bool(Pa,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,A_1),B_2))) )
      & ( ? [A_1,B_2] : hBOOL(hAPP_P828904212r_bool(Pa,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,A_1),B_2)))
        | ! [X1] : ~ hBOOL(hAPP_P828904212r_bool(Pa,X1)) ) ),
    inference(fof_nnf,[status(thm)],[fact_332_split__paired__Ex]) ).

fof(f_474_2,plain,
    ! [U_2719] :
      ( ( ? [U_2718] : hBOOL(hAPP_P828904212r_bool(U_2719,U_2718))
        | ! [U_2717,U_2716] : ~ hBOOL(hAPP_P828904212r_bool(U_2719,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_2717),U_2716))) )
      & ( ? [U_2715,U_2714] : hBOOL(hAPP_P828904212r_bool(U_2719,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_2715),U_2714)))
        | ! [U_2713] : ~ hBOOL(hAPP_P828904212r_bool(U_2719,U_2713)) ) ),
    inference(variable_rename,[status(thm)],[f_474_1]) ).

fof(f_474_3,plain,
    ( ! [U_2721] :
        ( ? [U_2718] : hBOOL(hAPP_P828904212r_bool(U_2721,U_2718))
        | ! [U_2717,U_2716] : ~ hBOOL(hAPP_P828904212r_bool(U_2721,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_2717),U_2716))) )
    & ! [U_2720] :
        ( ? [U_2715,U_2714] : hBOOL(hAPP_P828904212r_bool(U_2720,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_2715),U_2714)))
        | ! [U_2713] : ~ hBOOL(hAPP_P828904212r_bool(U_2720,U_2713)) ) ),
    inference(miniscope,[status(thm)],[f_474_2]) ).

fof(f_474_4,plain,
    ( ! [U_2721] :
        ( ? [U_2718] : hBOOL(hAPP_P828904212r_bool(U_2721,U_2718))
        | ! [U_2717,U_2716] : ~ hBOOL(hAPP_P828904212r_bool(U_2721,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_2717),U_2716))) )
    & ! [U_2720] :
        ( ? [U_2714] : hBOOL(hAPP_P828904212r_bool(U_2720,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,sK600(U_2720)),U_2714)))
        | ! [U_2713] : ~ hBOOL(hAPP_P828904212r_bool(U_2720,U_2713)) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK600]),skolemize(U_2715,sK600(U_2720))],[f_474_3]) ).

fof(f_474_5,plain,
    ( ! [U_2721] :
        ( ? [U_2718] : hBOOL(hAPP_P828904212r_bool(U_2721,U_2718))
        | ! [U_2717,U_2716] : ~ hBOOL(hAPP_P828904212r_bool(U_2721,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_2717),U_2716))) )
    & ! [U_2720] :
        ( hBOOL(hAPP_P828904212r_bool(U_2720,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,sK600(U_2720)),sK601(U_2720))))
        | ! [U_2713] : ~ hBOOL(hAPP_P828904212r_bool(U_2720,U_2713)) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK601]),skolemize(U_2714,sK601(U_2720))],[f_474_4]) ).

fof(f_474_6,plain,
    ( ! [U_2721] :
        ( hBOOL(hAPP_P828904212r_bool(U_2721,sK602(U_2721)))
        | ! [U_2717,U_2716] : ~ hBOOL(hAPP_P828904212r_bool(U_2721,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_2717),U_2716))) )
    & ! [U_2720] :
        ( hBOOL(hAPP_P828904212r_bool(U_2720,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,sK600(U_2720)),sK601(U_2720))))
        | ! [U_2713] : ~ hBOOL(hAPP_P828904212r_bool(U_2720,U_2713)) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK602]),skolemize(U_2718,sK602(U_2721))],[f_474_5]) ).

cnf(f_474_7,plain,
    ( hBOOL(hAPP_P828904212r_bool(U_2720,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,sK600(U_2720)),sK601(U_2720))))
    | ~ hBOOL(hAPP_P828904212r_bool(U_2720,U_2713)) ),
    inference(clausify,[status(thm)],[f_474_6]) ).

cnf(f_474_8,plain,
    ( hBOOL(hAPP_P828904212r_bool(U_2721,sK602(U_2721)))
    | ~ hBOOL(hAPP_P828904212r_bool(U_2721,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_2717),U_2716))) ),
    inference(clausify,[status(thm)],[f_474_6]) ).

fof(f_475_1,plain,
    ! [Pa] :
      ( ( ? [X1] : hBOOL(hAPP_P659547099r_bool(Pa,X1))
        | ! [A_1,B_2] : ~ hBOOL(hAPP_P659547099r_bool(Pa,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,A_1),B_2))) )
      & ( ? [A_1,B_2] : hBOOL(hAPP_P659547099r_bool(Pa,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,A_1),B_2)))
        | ! [X1] : ~ hBOOL(hAPP_P659547099r_bool(Pa,X1)) ) ),
    inference(fof_nnf,[status(thm)],[fact_333_split__paired__Ex]) ).

fof(f_475_2,plain,
    ! [U_2728] :
      ( ( ? [U_2727] : hBOOL(hAPP_P659547099r_bool(U_2728,U_2727))
        | ! [U_2726,U_2725] : ~ hBOOL(hAPP_P659547099r_bool(U_2728,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_2726),U_2725))) )
      & ( ? [U_2724,U_2723] : hBOOL(hAPP_P659547099r_bool(U_2728,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_2724),U_2723)))
        | ! [U_2722] : ~ hBOOL(hAPP_P659547099r_bool(U_2728,U_2722)) ) ),
    inference(variable_rename,[status(thm)],[f_475_1]) ).

fof(f_475_3,plain,
    ( ! [U_2730] :
        ( ? [U_2727] : hBOOL(hAPP_P659547099r_bool(U_2730,U_2727))
        | ! [U_2726,U_2725] : ~ hBOOL(hAPP_P659547099r_bool(U_2730,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_2726),U_2725))) )
    & ! [U_2729] :
        ( ? [U_2724,U_2723] : hBOOL(hAPP_P659547099r_bool(U_2729,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_2724),U_2723)))
        | ! [U_2722] : ~ hBOOL(hAPP_P659547099r_bool(U_2729,U_2722)) ) ),
    inference(miniscope,[status(thm)],[f_475_2]) ).

fof(f_475_4,plain,
    ( ! [U_2730] :
        ( ? [U_2727] : hBOOL(hAPP_P659547099r_bool(U_2730,U_2727))
        | ! [U_2726,U_2725] : ~ hBOOL(hAPP_P659547099r_bool(U_2730,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_2726),U_2725))) )
    & ! [U_2729] :
        ( ? [U_2723] : hBOOL(hAPP_P659547099r_bool(U_2729,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,sK603(U_2729)),U_2723)))
        | ! [U_2722] : ~ hBOOL(hAPP_P659547099r_bool(U_2729,U_2722)) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK603]),skolemize(U_2724,sK603(U_2729))],[f_475_3]) ).

fof(f_475_5,plain,
    ( ! [U_2730] :
        ( ? [U_2727] : hBOOL(hAPP_P659547099r_bool(U_2730,U_2727))
        | ! [U_2726,U_2725] : ~ hBOOL(hAPP_P659547099r_bool(U_2730,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_2726),U_2725))) )
    & ! [U_2729] :
        ( hBOOL(hAPP_P659547099r_bool(U_2729,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,sK603(U_2729)),sK604(U_2729))))
        | ! [U_2722] : ~ hBOOL(hAPP_P659547099r_bool(U_2729,U_2722)) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK604]),skolemize(U_2723,sK604(U_2729))],[f_475_4]) ).

fof(f_475_6,plain,
    ( ! [U_2730] :
        ( hBOOL(hAPP_P659547099r_bool(U_2730,sK605(U_2730)))
        | ! [U_2726,U_2725] : ~ hBOOL(hAPP_P659547099r_bool(U_2730,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_2726),U_2725))) )
    & ! [U_2729] :
        ( hBOOL(hAPP_P659547099r_bool(U_2729,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,sK603(U_2729)),sK604(U_2729))))
        | ! [U_2722] : ~ hBOOL(hAPP_P659547099r_bool(U_2729,U_2722)) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK605]),skolemize(U_2727,sK605(U_2730))],[f_475_5]) ).

cnf(f_475_7,plain,
    ( hBOOL(hAPP_P659547099r_bool(U_2729,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,sK603(U_2729)),sK604(U_2729))))
    | ~ hBOOL(hAPP_P659547099r_bool(U_2729,U_2722)) ),
    inference(clausify,[status(thm)],[f_475_6]) ).

cnf(f_475_8,plain,
    ( hBOOL(hAPP_P659547099r_bool(U_2730,sK605(U_2730)))
    | ~ hBOOL(hAPP_P659547099r_bool(U_2730,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_2726),U_2725))) ),
    inference(clausify,[status(thm)],[f_475_6]) ).

fof(f_476_1,plain,
    ! [Pa] :
      ( ( ? [X1] : hBOOL(hAPP_P1680401186r_bool(Pa,X1))
        | ! [A_1,B_2] : ~ hBOOL(hAPP_P1680401186r_bool(Pa,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,A_1),B_2))) )
      & ( ? [A_1,B_2] : hBOOL(hAPP_P1680401186r_bool(Pa,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,A_1),B_2)))
        | ! [X1] : ~ hBOOL(hAPP_P1680401186r_bool(Pa,X1)) ) ),
    inference(fof_nnf,[status(thm)],[fact_334_split__paired__Ex]) ).

fof(f_476_2,plain,
    ! [U_2737] :
      ( ( ? [U_2736] : hBOOL(hAPP_P1680401186r_bool(U_2737,U_2736))
        | ! [U_2735,U_2734] : ~ hBOOL(hAPP_P1680401186r_bool(U_2737,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_2735),U_2734))) )
      & ( ? [U_2733,U_2732] : hBOOL(hAPP_P1680401186r_bool(U_2737,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_2733),U_2732)))
        | ! [U_2731] : ~ hBOOL(hAPP_P1680401186r_bool(U_2737,U_2731)) ) ),
    inference(variable_rename,[status(thm)],[f_476_1]) ).

fof(f_476_3,plain,
    ( ! [U_2739] :
        ( ? [U_2736] : hBOOL(hAPP_P1680401186r_bool(U_2739,U_2736))
        | ! [U_2735,U_2734] : ~ hBOOL(hAPP_P1680401186r_bool(U_2739,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_2735),U_2734))) )
    & ! [U_2738] :
        ( ? [U_2733,U_2732] : hBOOL(hAPP_P1680401186r_bool(U_2738,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_2733),U_2732)))
        | ! [U_2731] : ~ hBOOL(hAPP_P1680401186r_bool(U_2738,U_2731)) ) ),
    inference(miniscope,[status(thm)],[f_476_2]) ).

fof(f_476_4,plain,
    ( ! [U_2739] :
        ( ? [U_2736] : hBOOL(hAPP_P1680401186r_bool(U_2739,U_2736))
        | ! [U_2735,U_2734] : ~ hBOOL(hAPP_P1680401186r_bool(U_2739,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_2735),U_2734))) )
    & ! [U_2738] :
        ( ? [U_2732] : hBOOL(hAPP_P1680401186r_bool(U_2738,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,sK606(U_2738)),U_2732)))
        | ! [U_2731] : ~ hBOOL(hAPP_P1680401186r_bool(U_2738,U_2731)) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK606]),skolemize(U_2733,sK606(U_2738))],[f_476_3]) ).

fof(f_476_5,plain,
    ( ! [U_2739] :
        ( ? [U_2736] : hBOOL(hAPP_P1680401186r_bool(U_2739,U_2736))
        | ! [U_2735,U_2734] : ~ hBOOL(hAPP_P1680401186r_bool(U_2739,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_2735),U_2734))) )
    & ! [U_2738] :
        ( hBOOL(hAPP_P1680401186r_bool(U_2738,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,sK606(U_2738)),sK607(U_2738))))
        | ! [U_2731] : ~ hBOOL(hAPP_P1680401186r_bool(U_2738,U_2731)) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK607]),skolemize(U_2732,sK607(U_2738))],[f_476_4]) ).

fof(f_476_6,plain,
    ( ! [U_2739] :
        ( hBOOL(hAPP_P1680401186r_bool(U_2739,sK608(U_2739)))
        | ! [U_2735,U_2734] : ~ hBOOL(hAPP_P1680401186r_bool(U_2739,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_2735),U_2734))) )
    & ! [U_2738] :
        ( hBOOL(hAPP_P1680401186r_bool(U_2738,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,sK606(U_2738)),sK607(U_2738))))
        | ! [U_2731] : ~ hBOOL(hAPP_P1680401186r_bool(U_2738,U_2731)) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK608]),skolemize(U_2736,sK608(U_2739))],[f_476_5]) ).

cnf(f_476_7,plain,
    ( hBOOL(hAPP_P1680401186r_bool(U_2738,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,sK606(U_2738)),sK607(U_2738))))
    | ~ hBOOL(hAPP_P1680401186r_bool(U_2738,U_2731)) ),
    inference(clausify,[status(thm)],[f_476_6]) ).

cnf(f_476_8,plain,
    ( hBOOL(hAPP_P1680401186r_bool(U_2739,sK608(U_2739)))
    | ~ hBOOL(hAPP_P1680401186r_bool(U_2739,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_2735),U_2734))) ),
    inference(clausify,[status(thm)],[f_476_6]) ).

fof(f_477_1,plain,
    ! [Pa] :
      ( ( ? [X1] : hBOOL(hAPP_P2118621157r_bool(Pa,X1))
        | ! [A_1,B_2] : ~ hBOOL(hAPP_P2118621157r_bool(Pa,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,A_1),B_2))) )
      & ( ? [A_1,B_2] : hBOOL(hAPP_P2118621157r_bool(Pa,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,A_1),B_2)))
        | ! [X1] : ~ hBOOL(hAPP_P2118621157r_bool(Pa,X1)) ) ),
    inference(fof_nnf,[status(thm)],[fact_335_split__paired__Ex]) ).

fof(f_477_2,plain,
    ! [U_2746] :
      ( ( ? [U_2745] : hBOOL(hAPP_P2118621157r_bool(U_2746,U_2745))
        | ! [U_2744,U_2743] : ~ hBOOL(hAPP_P2118621157r_bool(U_2746,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_2744),U_2743))) )
      & ( ? [U_2742,U_2741] : hBOOL(hAPP_P2118621157r_bool(U_2746,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_2742),U_2741)))
        | ! [U_2740] : ~ hBOOL(hAPP_P2118621157r_bool(U_2746,U_2740)) ) ),
    inference(variable_rename,[status(thm)],[f_477_1]) ).

fof(f_477_3,plain,
    ( ! [U_2748] :
        ( ? [U_2745] : hBOOL(hAPP_P2118621157r_bool(U_2748,U_2745))
        | ! [U_2744,U_2743] : ~ hBOOL(hAPP_P2118621157r_bool(U_2748,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_2744),U_2743))) )
    & ! [U_2747] :
        ( ? [U_2742,U_2741] : hBOOL(hAPP_P2118621157r_bool(U_2747,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_2742),U_2741)))
        | ! [U_2740] : ~ hBOOL(hAPP_P2118621157r_bool(U_2747,U_2740)) ) ),
    inference(miniscope,[status(thm)],[f_477_2]) ).

fof(f_477_4,plain,
    ( ! [U_2748] :
        ( ? [U_2745] : hBOOL(hAPP_P2118621157r_bool(U_2748,U_2745))
        | ! [U_2744,U_2743] : ~ hBOOL(hAPP_P2118621157r_bool(U_2748,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_2744),U_2743))) )
    & ! [U_2747] :
        ( ? [U_2741] : hBOOL(hAPP_P2118621157r_bool(U_2747,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,sK609(U_2747)),U_2741)))
        | ! [U_2740] : ~ hBOOL(hAPP_P2118621157r_bool(U_2747,U_2740)) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK609]),skolemize(U_2742,sK609(U_2747))],[f_477_3]) ).

fof(f_477_5,plain,
    ( ! [U_2748] :
        ( ? [U_2745] : hBOOL(hAPP_P2118621157r_bool(U_2748,U_2745))
        | ! [U_2744,U_2743] : ~ hBOOL(hAPP_P2118621157r_bool(U_2748,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_2744),U_2743))) )
    & ! [U_2747] :
        ( hBOOL(hAPP_P2118621157r_bool(U_2747,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,sK609(U_2747)),sK610(U_2747))))
        | ! [U_2740] : ~ hBOOL(hAPP_P2118621157r_bool(U_2747,U_2740)) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK610]),skolemize(U_2741,sK610(U_2747))],[f_477_4]) ).

fof(f_477_6,plain,
    ( ! [U_2748] :
        ( hBOOL(hAPP_P2118621157r_bool(U_2748,sK611(U_2748)))
        | ! [U_2744,U_2743] : ~ hBOOL(hAPP_P2118621157r_bool(U_2748,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_2744),U_2743))) )
    & ! [U_2747] :
        ( hBOOL(hAPP_P2118621157r_bool(U_2747,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,sK609(U_2747)),sK610(U_2747))))
        | ! [U_2740] : ~ hBOOL(hAPP_P2118621157r_bool(U_2747,U_2740)) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK611]),skolemize(U_2745,sK611(U_2748))],[f_477_5]) ).

cnf(f_477_7,plain,
    ( hBOOL(hAPP_P2118621157r_bool(U_2747,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,sK609(U_2747)),sK610(U_2747))))
    | ~ hBOOL(hAPP_P2118621157r_bool(U_2747,U_2740)) ),
    inference(clausify,[status(thm)],[f_477_6]) ).

cnf(f_477_8,plain,
    ( hBOOL(hAPP_P2118621157r_bool(U_2748,sK611(U_2748)))
    | ~ hBOOL(hAPP_P2118621157r_bool(U_2748,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_2744),U_2743))) ),
    inference(clausify,[status(thm)],[f_477_6]) ).

fof(f_478_1,plain,
    ! [Pa] :
      ( ( ? [X1] : hBOOL(hAPP_P1907982426r_bool(Pa,X1))
        | ! [A_1,B_2] : ~ hBOOL(hAPP_P1907982426r_bool(Pa,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,A_1),B_2))) )
      & ( ? [A_1,B_2] : hBOOL(hAPP_P1907982426r_bool(Pa,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,A_1),B_2)))
        | ! [X1] : ~ hBOOL(hAPP_P1907982426r_bool(Pa,X1)) ) ),
    inference(fof_nnf,[status(thm)],[fact_336_split__paired__Ex]) ).

fof(f_478_2,plain,
    ! [U_2755] :
      ( ( ? [U_2754] : hBOOL(hAPP_P1907982426r_bool(U_2755,U_2754))
        | ! [U_2753,U_2752] : ~ hBOOL(hAPP_P1907982426r_bool(U_2755,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_2753),U_2752))) )
      & ( ? [U_2751,U_2750] : hBOOL(hAPP_P1907982426r_bool(U_2755,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_2751),U_2750)))
        | ! [U_2749] : ~ hBOOL(hAPP_P1907982426r_bool(U_2755,U_2749)) ) ),
    inference(variable_rename,[status(thm)],[f_478_1]) ).

fof(f_478_3,plain,
    ( ! [U_2757] :
        ( ? [U_2754] : hBOOL(hAPP_P1907982426r_bool(U_2757,U_2754))
        | ! [U_2753,U_2752] : ~ hBOOL(hAPP_P1907982426r_bool(U_2757,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_2753),U_2752))) )
    & ! [U_2756] :
        ( ? [U_2751,U_2750] : hBOOL(hAPP_P1907982426r_bool(U_2756,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_2751),U_2750)))
        | ! [U_2749] : ~ hBOOL(hAPP_P1907982426r_bool(U_2756,U_2749)) ) ),
    inference(miniscope,[status(thm)],[f_478_2]) ).

fof(f_478_4,plain,
    ( ! [U_2757] :
        ( ? [U_2754] : hBOOL(hAPP_P1907982426r_bool(U_2757,U_2754))
        | ! [U_2753,U_2752] : ~ hBOOL(hAPP_P1907982426r_bool(U_2757,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_2753),U_2752))) )
    & ! [U_2756] :
        ( ? [U_2750] : hBOOL(hAPP_P1907982426r_bool(U_2756,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,sK612(U_2756)),U_2750)))
        | ! [U_2749] : ~ hBOOL(hAPP_P1907982426r_bool(U_2756,U_2749)) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK612]),skolemize(U_2751,sK612(U_2756))],[f_478_3]) ).

fof(f_478_5,plain,
    ( ! [U_2757] :
        ( ? [U_2754] : hBOOL(hAPP_P1907982426r_bool(U_2757,U_2754))
        | ! [U_2753,U_2752] : ~ hBOOL(hAPP_P1907982426r_bool(U_2757,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_2753),U_2752))) )
    & ! [U_2756] :
        ( hBOOL(hAPP_P1907982426r_bool(U_2756,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,sK612(U_2756)),sK613(U_2756))))
        | ! [U_2749] : ~ hBOOL(hAPP_P1907982426r_bool(U_2756,U_2749)) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK613]),skolemize(U_2750,sK613(U_2756))],[f_478_4]) ).

fof(f_478_6,plain,
    ( ! [U_2757] :
        ( hBOOL(hAPP_P1907982426r_bool(U_2757,sK614(U_2757)))
        | ! [U_2753,U_2752] : ~ hBOOL(hAPP_P1907982426r_bool(U_2757,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_2753),U_2752))) )
    & ! [U_2756] :
        ( hBOOL(hAPP_P1907982426r_bool(U_2756,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,sK612(U_2756)),sK613(U_2756))))
        | ! [U_2749] : ~ hBOOL(hAPP_P1907982426r_bool(U_2756,U_2749)) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK614]),skolemize(U_2754,sK614(U_2757))],[f_478_5]) ).

cnf(f_478_7,plain,
    ( hBOOL(hAPP_P1907982426r_bool(U_2756,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,sK612(U_2756)),sK613(U_2756))))
    | ~ hBOOL(hAPP_P1907982426r_bool(U_2756,U_2749)) ),
    inference(clausify,[status(thm)],[f_478_6]) ).

cnf(f_478_8,plain,
    ( hBOOL(hAPP_P1907982426r_bool(U_2757,sK614(U_2757)))
    | ~ hBOOL(hAPP_P1907982426r_bool(U_2757,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_2753),U_2752))) ),
    inference(clausify,[status(thm)],[f_478_6]) ).

fof(f_479_1,plain,
    ! [Pa] :
      ( ( ? [X1] : hBOOL(hAPP_P92196306r_bool(Pa,X1))
        | ! [A_1,B_2] : ~ hBOOL(hAPP_P92196306r_bool(Pa,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,A_1),B_2))) )
      & ( ? [A_1,B_2] : hBOOL(hAPP_P92196306r_bool(Pa,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,A_1),B_2)))
        | ! [X1] : ~ hBOOL(hAPP_P92196306r_bool(Pa,X1)) ) ),
    inference(fof_nnf,[status(thm)],[fact_337_split__paired__Ex]) ).

fof(f_479_2,plain,
    ! [U_2764] :
      ( ( ? [U_2763] : hBOOL(hAPP_P92196306r_bool(U_2764,U_2763))
        | ! [U_2762,U_2761] : ~ hBOOL(hAPP_P92196306r_bool(U_2764,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_2762),U_2761))) )
      & ( ? [U_2760,U_2759] : hBOOL(hAPP_P92196306r_bool(U_2764,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_2760),U_2759)))
        | ! [U_2758] : ~ hBOOL(hAPP_P92196306r_bool(U_2764,U_2758)) ) ),
    inference(variable_rename,[status(thm)],[f_479_1]) ).

fof(f_479_3,plain,
    ( ! [U_2766] :
        ( ? [U_2763] : hBOOL(hAPP_P92196306r_bool(U_2766,U_2763))
        | ! [U_2762,U_2761] : ~ hBOOL(hAPP_P92196306r_bool(U_2766,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_2762),U_2761))) )
    & ! [U_2765] :
        ( ? [U_2760,U_2759] : hBOOL(hAPP_P92196306r_bool(U_2765,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_2760),U_2759)))
        | ! [U_2758] : ~ hBOOL(hAPP_P92196306r_bool(U_2765,U_2758)) ) ),
    inference(miniscope,[status(thm)],[f_479_2]) ).

fof(f_479_4,plain,
    ( ! [U_2766] :
        ( ? [U_2763] : hBOOL(hAPP_P92196306r_bool(U_2766,U_2763))
        | ! [U_2762,U_2761] : ~ hBOOL(hAPP_P92196306r_bool(U_2766,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_2762),U_2761))) )
    & ! [U_2765] :
        ( ? [U_2759] : hBOOL(hAPP_P92196306r_bool(U_2765,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,sK615(U_2765)),U_2759)))
        | ! [U_2758] : ~ hBOOL(hAPP_P92196306r_bool(U_2765,U_2758)) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK615]),skolemize(U_2760,sK615(U_2765))],[f_479_3]) ).

fof(f_479_5,plain,
    ( ! [U_2766] :
        ( ? [U_2763] : hBOOL(hAPP_P92196306r_bool(U_2766,U_2763))
        | ! [U_2762,U_2761] : ~ hBOOL(hAPP_P92196306r_bool(U_2766,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_2762),U_2761))) )
    & ! [U_2765] :
        ( hBOOL(hAPP_P92196306r_bool(U_2765,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,sK615(U_2765)),sK616(U_2765))))
        | ! [U_2758] : ~ hBOOL(hAPP_P92196306r_bool(U_2765,U_2758)) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK616]),skolemize(U_2759,sK616(U_2765))],[f_479_4]) ).

fof(f_479_6,plain,
    ( ! [U_2766] :
        ( hBOOL(hAPP_P92196306r_bool(U_2766,sK617(U_2766)))
        | ! [U_2762,U_2761] : ~ hBOOL(hAPP_P92196306r_bool(U_2766,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_2762),U_2761))) )
    & ! [U_2765] :
        ( hBOOL(hAPP_P92196306r_bool(U_2765,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,sK615(U_2765)),sK616(U_2765))))
        | ! [U_2758] : ~ hBOOL(hAPP_P92196306r_bool(U_2765,U_2758)) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK617]),skolemize(U_2763,sK617(U_2766))],[f_479_5]) ).

cnf(f_479_7,plain,
    ( hBOOL(hAPP_P92196306r_bool(U_2765,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,sK615(U_2765)),sK616(U_2765))))
    | ~ hBOOL(hAPP_P92196306r_bool(U_2765,U_2758)) ),
    inference(clausify,[status(thm)],[f_479_6]) ).

cnf(f_479_8,plain,
    ( hBOOL(hAPP_P92196306r_bool(U_2766,sK617(U_2766)))
    | ~ hBOOL(hAPP_P92196306r_bool(U_2766,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_2762),U_2761))) ),
    inference(clausify,[status(thm)],[f_479_6]) ).

fof(f_480_1,plain,
    ! [Pa] :
      ( ( ? [X1] : hBOOL(hAPP_P71593144l_bool(Pa,X1))
        | ! [A_1,B_2] : ~ hBOOL(hAPP_P71593144l_bool(Pa,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,A_1),B_2))) )
      & ( ? [A_1,B_2] : hBOOL(hAPP_P71593144l_bool(Pa,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,A_1),B_2)))
        | ! [X1] : ~ hBOOL(hAPP_P71593144l_bool(Pa,X1)) ) ),
    inference(fof_nnf,[status(thm)],[fact_338_split__paired__Ex]) ).

fof(f_480_2,plain,
    ! [U_2773] :
      ( ( ? [U_2772] : hBOOL(hAPP_P71593144l_bool(U_2773,U_2772))
        | ! [U_2771,U_2770] : ~ hBOOL(hAPP_P71593144l_bool(U_2773,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_2771),U_2770))) )
      & ( ? [U_2769,U_2768] : hBOOL(hAPP_P71593144l_bool(U_2773,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_2769),U_2768)))
        | ! [U_2767] : ~ hBOOL(hAPP_P71593144l_bool(U_2773,U_2767)) ) ),
    inference(variable_rename,[status(thm)],[f_480_1]) ).

fof(f_480_3,plain,
    ( ! [U_2775] :
        ( ? [U_2772] : hBOOL(hAPP_P71593144l_bool(U_2775,U_2772))
        | ! [U_2771,U_2770] : ~ hBOOL(hAPP_P71593144l_bool(U_2775,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_2771),U_2770))) )
    & ! [U_2774] :
        ( ? [U_2769,U_2768] : hBOOL(hAPP_P71593144l_bool(U_2774,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_2769),U_2768)))
        | ! [U_2767] : ~ hBOOL(hAPP_P71593144l_bool(U_2774,U_2767)) ) ),
    inference(miniscope,[status(thm)],[f_480_2]) ).

fof(f_480_4,plain,
    ( ! [U_2775] :
        ( ? [U_2772] : hBOOL(hAPP_P71593144l_bool(U_2775,U_2772))
        | ! [U_2771,U_2770] : ~ hBOOL(hAPP_P71593144l_bool(U_2775,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_2771),U_2770))) )
    & ! [U_2774] :
        ( ? [U_2768] : hBOOL(hAPP_P71593144l_bool(U_2774,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,sK618(U_2774)),U_2768)))
        | ! [U_2767] : ~ hBOOL(hAPP_P71593144l_bool(U_2774,U_2767)) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK618]),skolemize(U_2769,sK618(U_2774))],[f_480_3]) ).

fof(f_480_5,plain,
    ( ! [U_2775] :
        ( ? [U_2772] : hBOOL(hAPP_P71593144l_bool(U_2775,U_2772))
        | ! [U_2771,U_2770] : ~ hBOOL(hAPP_P71593144l_bool(U_2775,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_2771),U_2770))) )
    & ! [U_2774] :
        ( hBOOL(hAPP_P71593144l_bool(U_2774,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,sK618(U_2774)),sK619(U_2774))))
        | ! [U_2767] : ~ hBOOL(hAPP_P71593144l_bool(U_2774,U_2767)) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK619]),skolemize(U_2768,sK619(U_2774))],[f_480_4]) ).

fof(f_480_6,plain,
    ( ! [U_2775] :
        ( hBOOL(hAPP_P71593144l_bool(U_2775,sK620(U_2775)))
        | ! [U_2771,U_2770] : ~ hBOOL(hAPP_P71593144l_bool(U_2775,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_2771),U_2770))) )
    & ! [U_2774] :
        ( hBOOL(hAPP_P71593144l_bool(U_2774,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,sK618(U_2774)),sK619(U_2774))))
        | ! [U_2767] : ~ hBOOL(hAPP_P71593144l_bool(U_2774,U_2767)) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK620]),skolemize(U_2772,sK620(U_2775))],[f_480_5]) ).

cnf(f_480_7,plain,
    ( hBOOL(hAPP_P71593144l_bool(U_2774,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,sK618(U_2774)),sK619(U_2774))))
    | ~ hBOOL(hAPP_P71593144l_bool(U_2774,U_2767)) ),
    inference(clausify,[status(thm)],[f_480_6]) ).

cnf(f_480_8,plain,
    ( hBOOL(hAPP_P71593144l_bool(U_2775,sK620(U_2775)))
    | ~ hBOOL(hAPP_P71593144l_bool(U_2775,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_2771),U_2770))) ),
    inference(clausify,[status(thm)],[f_480_6]) ).

fof(f_481_1,plain,
    ! [Pa] :
      ( ( ? [X1] : hBOOL(hAPP_P1333315679l_bool(Pa,X1))
        | ! [A_1,B_2] : ~ hBOOL(hAPP_P1333315679l_bool(Pa,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A_1),B_2))) )
      & ( ? [A_1,B_2] : hBOOL(hAPP_P1333315679l_bool(Pa,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A_1),B_2)))
        | ! [X1] : ~ hBOOL(hAPP_P1333315679l_bool(Pa,X1)) ) ),
    inference(fof_nnf,[status(thm)],[fact_339_split__paired__Ex]) ).

fof(f_481_2,plain,
    ! [U_2782] :
      ( ( ? [U_2781] : hBOOL(hAPP_P1333315679l_bool(U_2782,U_2781))
        | ! [U_2780,U_2779] : ~ hBOOL(hAPP_P1333315679l_bool(U_2782,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_2780),U_2779))) )
      & ( ? [U_2778,U_2777] : hBOOL(hAPP_P1333315679l_bool(U_2782,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_2778),U_2777)))
        | ! [U_2776] : ~ hBOOL(hAPP_P1333315679l_bool(U_2782,U_2776)) ) ),
    inference(variable_rename,[status(thm)],[f_481_1]) ).

fof(f_481_3,plain,
    ( ! [U_2784] :
        ( ? [U_2781] : hBOOL(hAPP_P1333315679l_bool(U_2784,U_2781))
        | ! [U_2780,U_2779] : ~ hBOOL(hAPP_P1333315679l_bool(U_2784,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_2780),U_2779))) )
    & ! [U_2783] :
        ( ? [U_2778,U_2777] : hBOOL(hAPP_P1333315679l_bool(U_2783,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_2778),U_2777)))
        | ! [U_2776] : ~ hBOOL(hAPP_P1333315679l_bool(U_2783,U_2776)) ) ),
    inference(miniscope,[status(thm)],[f_481_2]) ).

fof(f_481_4,plain,
    ( ! [U_2784] :
        ( ? [U_2781] : hBOOL(hAPP_P1333315679l_bool(U_2784,U_2781))
        | ! [U_2780,U_2779] : ~ hBOOL(hAPP_P1333315679l_bool(U_2784,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_2780),U_2779))) )
    & ! [U_2783] :
        ( ? [U_2777] : hBOOL(hAPP_P1333315679l_bool(U_2783,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,sK621(U_2783)),U_2777)))
        | ! [U_2776] : ~ hBOOL(hAPP_P1333315679l_bool(U_2783,U_2776)) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK621]),skolemize(U_2778,sK621(U_2783))],[f_481_3]) ).

fof(f_481_5,plain,
    ( ! [U_2784] :
        ( ? [U_2781] : hBOOL(hAPP_P1333315679l_bool(U_2784,U_2781))
        | ! [U_2780,U_2779] : ~ hBOOL(hAPP_P1333315679l_bool(U_2784,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_2780),U_2779))) )
    & ! [U_2783] :
        ( hBOOL(hAPP_P1333315679l_bool(U_2783,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,sK621(U_2783)),sK622(U_2783))))
        | ! [U_2776] : ~ hBOOL(hAPP_P1333315679l_bool(U_2783,U_2776)) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK622]),skolemize(U_2777,sK622(U_2783))],[f_481_4]) ).

fof(f_481_6,plain,
    ( ! [U_2784] :
        ( hBOOL(hAPP_P1333315679l_bool(U_2784,sK623(U_2784)))
        | ! [U_2780,U_2779] : ~ hBOOL(hAPP_P1333315679l_bool(U_2784,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_2780),U_2779))) )
    & ! [U_2783] :
        ( hBOOL(hAPP_P1333315679l_bool(U_2783,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,sK621(U_2783)),sK622(U_2783))))
        | ! [U_2776] : ~ hBOOL(hAPP_P1333315679l_bool(U_2783,U_2776)) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK623]),skolemize(U_2781,sK623(U_2784))],[f_481_5]) ).

cnf(f_481_7,plain,
    ( hBOOL(hAPP_P1333315679l_bool(U_2783,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,sK621(U_2783)),sK622(U_2783))))
    | ~ hBOOL(hAPP_P1333315679l_bool(U_2783,U_2776)) ),
    inference(clausify,[status(thm)],[f_481_6]) ).

cnf(f_481_8,plain,
    ( hBOOL(hAPP_P1333315679l_bool(U_2784,sK623(U_2784)))
    | ~ hBOOL(hAPP_P1333315679l_bool(U_2784,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_2780),U_2779))) ),
    inference(clausify,[status(thm)],[f_481_6]) ).

fof(f_482_1,plain,
    ! [Pa] :
      ( ( ? [X1] : hBOOL(hAPP_P929938951l_bool(Pa,X1))
        | ! [A_1,B_2] : ~ hBOOL(hAPP_P929938951l_bool(Pa,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A_1),B_2))) )
      & ( ? [A_1,B_2] : hBOOL(hAPP_P929938951l_bool(Pa,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A_1),B_2)))
        | ! [X1] : ~ hBOOL(hAPP_P929938951l_bool(Pa,X1)) ) ),
    inference(fof_nnf,[status(thm)],[fact_340_split__paired__Ex]) ).

fof(f_482_2,plain,
    ! [U_2791] :
      ( ( ? [U_2790] : hBOOL(hAPP_P929938951l_bool(U_2791,U_2790))
        | ! [U_2789,U_2788] : ~ hBOOL(hAPP_P929938951l_bool(U_2791,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_2789),U_2788))) )
      & ( ? [U_2787,U_2786] : hBOOL(hAPP_P929938951l_bool(U_2791,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_2787),U_2786)))
        | ! [U_2785] : ~ hBOOL(hAPP_P929938951l_bool(U_2791,U_2785)) ) ),
    inference(variable_rename,[status(thm)],[f_482_1]) ).

fof(f_482_3,plain,
    ( ! [U_2793] :
        ( ? [U_2790] : hBOOL(hAPP_P929938951l_bool(U_2793,U_2790))
        | ! [U_2789,U_2788] : ~ hBOOL(hAPP_P929938951l_bool(U_2793,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_2789),U_2788))) )
    & ! [U_2792] :
        ( ? [U_2787,U_2786] : hBOOL(hAPP_P929938951l_bool(U_2792,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_2787),U_2786)))
        | ! [U_2785] : ~ hBOOL(hAPP_P929938951l_bool(U_2792,U_2785)) ) ),
    inference(miniscope,[status(thm)],[f_482_2]) ).

fof(f_482_4,plain,
    ( ! [U_2793] :
        ( ? [U_2790] : hBOOL(hAPP_P929938951l_bool(U_2793,U_2790))
        | ! [U_2789,U_2788] : ~ hBOOL(hAPP_P929938951l_bool(U_2793,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_2789),U_2788))) )
    & ! [U_2792] :
        ( ? [U_2786] : hBOOL(hAPP_P929938951l_bool(U_2792,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,sK624(U_2792)),U_2786)))
        | ! [U_2785] : ~ hBOOL(hAPP_P929938951l_bool(U_2792,U_2785)) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK624]),skolemize(U_2787,sK624(U_2792))],[f_482_3]) ).

fof(f_482_5,plain,
    ( ! [U_2793] :
        ( ? [U_2790] : hBOOL(hAPP_P929938951l_bool(U_2793,U_2790))
        | ! [U_2789,U_2788] : ~ hBOOL(hAPP_P929938951l_bool(U_2793,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_2789),U_2788))) )
    & ! [U_2792] :
        ( hBOOL(hAPP_P929938951l_bool(U_2792,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,sK624(U_2792)),sK625(U_2792))))
        | ! [U_2785] : ~ hBOOL(hAPP_P929938951l_bool(U_2792,U_2785)) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK625]),skolemize(U_2786,sK625(U_2792))],[f_482_4]) ).

fof(f_482_6,plain,
    ( ! [U_2793] :
        ( hBOOL(hAPP_P929938951l_bool(U_2793,sK626(U_2793)))
        | ! [U_2789,U_2788] : ~ hBOOL(hAPP_P929938951l_bool(U_2793,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_2789),U_2788))) )
    & ! [U_2792] :
        ( hBOOL(hAPP_P929938951l_bool(U_2792,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,sK624(U_2792)),sK625(U_2792))))
        | ! [U_2785] : ~ hBOOL(hAPP_P929938951l_bool(U_2792,U_2785)) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK626]),skolemize(U_2790,sK626(U_2793))],[f_482_5]) ).

cnf(f_482_7,plain,
    ( hBOOL(hAPP_P929938951l_bool(U_2792,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,sK624(U_2792)),sK625(U_2792))))
    | ~ hBOOL(hAPP_P929938951l_bool(U_2792,U_2785)) ),
    inference(clausify,[status(thm)],[f_482_6]) ).

cnf(f_482_8,plain,
    ( hBOOL(hAPP_P929938951l_bool(U_2793,sK626(U_2793)))
    | ~ hBOOL(hAPP_P929938951l_bool(U_2793,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_2789),U_2788))) ),
    inference(clausify,[status(thm)],[f_482_6]) ).

fof(f_483_1,plain,
    ! [Pa] :
      ( ( ? [X1] : hBOOL(hAPP_P943837928l_bool(Pa,X1))
        | ! [A_1,B_2] :
            ( ~ hBOOL(hAPP_P943837928l_bool(Pa,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,A_1),B_2)))
            | ~ is_bop(A_1) ) )
      & ( ? [A_1,B_2] :
            ( hBOOL(hAPP_P943837928l_bool(Pa,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,A_1),B_2)))
            & is_bop(A_1) )
        | ! [X1] : ~ hBOOL(hAPP_P943837928l_bool(Pa,X1)) ) ),
    inference(fof_nnf,[status(thm)],[fact_341_split__paired__Ex]) ).

fof(f_483_2,plain,
    ! [U_2800] :
      ( ( ? [U_2799] : hBOOL(hAPP_P943837928l_bool(U_2800,U_2799))
        | ! [U_2798,U_2797] :
            ( ~ hBOOL(hAPP_P943837928l_bool(U_2800,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_2798),U_2797)))
            | ~ is_bop(U_2798) ) )
      & ( ? [U_2796,U_2795] :
            ( hBOOL(hAPP_P943837928l_bool(U_2800,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_2796),U_2795)))
            & is_bop(U_2796) )
        | ! [U_2794] : ~ hBOOL(hAPP_P943837928l_bool(U_2800,U_2794)) ) ),
    inference(variable_rename,[status(thm)],[f_483_1]) ).

fof(f_483_3,plain,
    ( ! [U_2802] :
        ( ? [U_2799] : hBOOL(hAPP_P943837928l_bool(U_2802,U_2799))
        | ! [U_2798] :
            ( ! [U_2797] : ~ hBOOL(hAPP_P943837928l_bool(U_2802,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_2798),U_2797)))
            | ~ is_bop(U_2798) ) )
    & ! [U_2801] :
        ( ? [U_2796] :
            ( ? [U_2795] : hBOOL(hAPP_P943837928l_bool(U_2801,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_2796),U_2795)))
            & is_bop(U_2796) )
        | ! [U_2794] : ~ hBOOL(hAPP_P943837928l_bool(U_2801,U_2794)) ) ),
    inference(miniscope,[status(thm)],[f_483_2]) ).

fof(f_483_4,plain,
    ( ! [U_2802] :
        ( ? [U_2799] : hBOOL(hAPP_P943837928l_bool(U_2802,U_2799))
        | ! [U_2798] :
            ( ! [U_2797] : ~ hBOOL(hAPP_P943837928l_bool(U_2802,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_2798),U_2797)))
            | ~ is_bop(U_2798) ) )
    & ! [U_2801] :
        ( ( ? [U_2795] : hBOOL(hAPP_P943837928l_bool(U_2801,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,sK627(U_2801)),U_2795)))
          & is_bop(sK627(U_2801)) )
        | ! [U_2794] : ~ hBOOL(hAPP_P943837928l_bool(U_2801,U_2794)) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK627]),skolemize(U_2796,sK627(U_2801))],[f_483_3]) ).

fof(f_483_5,plain,
    ( ! [U_2802] :
        ( ? [U_2799] : hBOOL(hAPP_P943837928l_bool(U_2802,U_2799))
        | ! [U_2798] :
            ( ! [U_2797] : ~ hBOOL(hAPP_P943837928l_bool(U_2802,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_2798),U_2797)))
            | ~ is_bop(U_2798) ) )
    & ! [U_2801] :
        ( ( hBOOL(hAPP_P943837928l_bool(U_2801,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,sK627(U_2801)),sK628(U_2801))))
          & is_bop(sK627(U_2801)) )
        | ! [U_2794] : ~ hBOOL(hAPP_P943837928l_bool(U_2801,U_2794)) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK628]),skolemize(U_2795,sK628(U_2801))],[f_483_4]) ).

fof(f_483_6,plain,
    ( ! [U_2802] :
        ( hBOOL(hAPP_P943837928l_bool(U_2802,sK629(U_2802)))
        | ! [U_2798] :
            ( ! [U_2797] : ~ hBOOL(hAPP_P943837928l_bool(U_2802,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_2798),U_2797)))
            | ~ is_bop(U_2798) ) )
    & ! [U_2801] :
        ( ( hBOOL(hAPP_P943837928l_bool(U_2801,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,sK627(U_2801)),sK628(U_2801))))
          & is_bop(sK627(U_2801)) )
        | ! [U_2794] : ~ hBOOL(hAPP_P943837928l_bool(U_2801,U_2794)) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK629]),skolemize(U_2799,sK629(U_2802))],[f_483_5]) ).

cnf(f_483_7,plain,
    ( is_bop(sK627(U_2801))
    | ~ hBOOL(hAPP_P943837928l_bool(U_2801,U_2794)) ),
    inference(clausify,[status(thm)],[f_483_6]) ).

cnf(f_483_8,plain,
    ( hBOOL(hAPP_P943837928l_bool(U_2801,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,sK627(U_2801)),sK628(U_2801))))
    | ~ hBOOL(hAPP_P943837928l_bool(U_2801,U_2794)) ),
    inference(clausify,[status(thm)],[f_483_6]) ).

cnf(f_483_9,plain,
    ( hBOOL(hAPP_P943837928l_bool(U_2802,sK629(U_2802)))
    | ~ hBOOL(hAPP_P943837928l_bool(U_2802,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_2798),U_2797)))
    | ~ is_bop(U_2798) ),
    inference(clausify,[status(thm)],[f_483_6]) ).

fof(f_484_1,plain,
    ! [Pa] :
      ( ( ? [X1] : hBOOL(hAPP_P449474095r_bool(Pa,X1))
        | ! [A_1,B_2] : ~ hBOOL(hAPP_P449474095r_bool(Pa,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A_1),B_2))) )
      & ( ? [A_1,B_2] : hBOOL(hAPP_P449474095r_bool(Pa,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A_1),B_2)))
        | ! [X1] : ~ hBOOL(hAPP_P449474095r_bool(Pa,X1)) ) ),
    inference(fof_nnf,[status(thm)],[fact_342_split__paired__Ex]) ).

fof(f_484_2,plain,
    ! [U_2809] :
      ( ( ? [U_2808] : hBOOL(hAPP_P449474095r_bool(U_2809,U_2808))
        | ! [U_2807,U_2806] : ~ hBOOL(hAPP_P449474095r_bool(U_2809,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_2807),U_2806))) )
      & ( ? [U_2805,U_2804] : hBOOL(hAPP_P449474095r_bool(U_2809,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_2805),U_2804)))
        | ! [U_2803] : ~ hBOOL(hAPP_P449474095r_bool(U_2809,U_2803)) ) ),
    inference(variable_rename,[status(thm)],[f_484_1]) ).

fof(f_484_3,plain,
    ( ! [U_2811] :
        ( ? [U_2808] : hBOOL(hAPP_P449474095r_bool(U_2811,U_2808))
        | ! [U_2807,U_2806] : ~ hBOOL(hAPP_P449474095r_bool(U_2811,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_2807),U_2806))) )
    & ! [U_2810] :
        ( ? [U_2805,U_2804] : hBOOL(hAPP_P449474095r_bool(U_2810,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_2805),U_2804)))
        | ! [U_2803] : ~ hBOOL(hAPP_P449474095r_bool(U_2810,U_2803)) ) ),
    inference(miniscope,[status(thm)],[f_484_2]) ).

fof(f_484_4,plain,
    ( ! [U_2811] :
        ( ? [U_2808] : hBOOL(hAPP_P449474095r_bool(U_2811,U_2808))
        | ! [U_2807,U_2806] : ~ hBOOL(hAPP_P449474095r_bool(U_2811,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_2807),U_2806))) )
    & ! [U_2810] :
        ( ? [U_2804] : hBOOL(hAPP_P449474095r_bool(U_2810,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,sK630(U_2810)),U_2804)))
        | ! [U_2803] : ~ hBOOL(hAPP_P449474095r_bool(U_2810,U_2803)) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK630]),skolemize(U_2805,sK630(U_2810))],[f_484_3]) ).

fof(f_484_5,plain,
    ( ! [U_2811] :
        ( ? [U_2808] : hBOOL(hAPP_P449474095r_bool(U_2811,U_2808))
        | ! [U_2807,U_2806] : ~ hBOOL(hAPP_P449474095r_bool(U_2811,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_2807),U_2806))) )
    & ! [U_2810] :
        ( hBOOL(hAPP_P449474095r_bool(U_2810,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,sK630(U_2810)),sK631(U_2810))))
        | ! [U_2803] : ~ hBOOL(hAPP_P449474095r_bool(U_2810,U_2803)) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK631]),skolemize(U_2804,sK631(U_2810))],[f_484_4]) ).

fof(f_484_6,plain,
    ( ! [U_2811] :
        ( hBOOL(hAPP_P449474095r_bool(U_2811,sK632(U_2811)))
        | ! [U_2807,U_2806] : ~ hBOOL(hAPP_P449474095r_bool(U_2811,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_2807),U_2806))) )
    & ! [U_2810] :
        ( hBOOL(hAPP_P449474095r_bool(U_2810,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,sK630(U_2810)),sK631(U_2810))))
        | ! [U_2803] : ~ hBOOL(hAPP_P449474095r_bool(U_2810,U_2803)) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK632]),skolemize(U_2808,sK632(U_2811))],[f_484_5]) ).

cnf(f_484_7,plain,
    ( hBOOL(hAPP_P449474095r_bool(U_2810,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,sK630(U_2810)),sK631(U_2810))))
    | ~ hBOOL(hAPP_P449474095r_bool(U_2810,U_2803)) ),
    inference(clausify,[status(thm)],[f_484_6]) ).

cnf(f_484_8,plain,
    ( hBOOL(hAPP_P449474095r_bool(U_2811,sK632(U_2811)))
    | ~ hBOOL(hAPP_P449474095r_bool(U_2811,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_2807),U_2806))) ),
    inference(clausify,[status(thm)],[f_484_6]) ).

fof(f_485_1,plain,
    ! [Pa] :
      ( ( ? [X1] : hBOOL(hAPP_P1235399154l_bool(Pa,X1))
        | ! [A_1,B_2] : ~ hBOOL(hAPP_P1235399154l_bool(Pa,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,A_1),B_2))) )
      & ( ? [A_1,B_2] : hBOOL(hAPP_P1235399154l_bool(Pa,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,A_1),B_2)))
        | ! [X1] : ~ hBOOL(hAPP_P1235399154l_bool(Pa,X1)) ) ),
    inference(fof_nnf,[status(thm)],[fact_343_split__paired__Ex]) ).

fof(f_485_2,plain,
    ! [U_2818] :
      ( ( ? [U_2817] : hBOOL(hAPP_P1235399154l_bool(U_2818,U_2817))
        | ! [U_2816,U_2815] : ~ hBOOL(hAPP_P1235399154l_bool(U_2818,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_2816),U_2815))) )
      & ( ? [U_2814,U_2813] : hBOOL(hAPP_P1235399154l_bool(U_2818,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_2814),U_2813)))
        | ! [U_2812] : ~ hBOOL(hAPP_P1235399154l_bool(U_2818,U_2812)) ) ),
    inference(variable_rename,[status(thm)],[f_485_1]) ).

fof(f_485_3,plain,
    ( ! [U_2820] :
        ( ? [U_2817] : hBOOL(hAPP_P1235399154l_bool(U_2820,U_2817))
        | ! [U_2816,U_2815] : ~ hBOOL(hAPP_P1235399154l_bool(U_2820,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_2816),U_2815))) )
    & ! [U_2819] :
        ( ? [U_2814,U_2813] : hBOOL(hAPP_P1235399154l_bool(U_2819,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_2814),U_2813)))
        | ! [U_2812] : ~ hBOOL(hAPP_P1235399154l_bool(U_2819,U_2812)) ) ),
    inference(miniscope,[status(thm)],[f_485_2]) ).

fof(f_485_4,plain,
    ( ! [U_2820] :
        ( ? [U_2817] : hBOOL(hAPP_P1235399154l_bool(U_2820,U_2817))
        | ! [U_2816,U_2815] : ~ hBOOL(hAPP_P1235399154l_bool(U_2820,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_2816),U_2815))) )
    & ! [U_2819] :
        ( ? [U_2813] : hBOOL(hAPP_P1235399154l_bool(U_2819,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,sK633(U_2819)),U_2813)))
        | ! [U_2812] : ~ hBOOL(hAPP_P1235399154l_bool(U_2819,U_2812)) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK633]),skolemize(U_2814,sK633(U_2819))],[f_485_3]) ).

fof(f_485_5,plain,
    ( ! [U_2820] :
        ( ? [U_2817] : hBOOL(hAPP_P1235399154l_bool(U_2820,U_2817))
        | ! [U_2816,U_2815] : ~ hBOOL(hAPP_P1235399154l_bool(U_2820,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_2816),U_2815))) )
    & ! [U_2819] :
        ( hBOOL(hAPP_P1235399154l_bool(U_2819,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,sK633(U_2819)),sK634(U_2819))))
        | ! [U_2812] : ~ hBOOL(hAPP_P1235399154l_bool(U_2819,U_2812)) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK634]),skolemize(U_2813,sK634(U_2819))],[f_485_4]) ).

fof(f_485_6,plain,
    ( ! [U_2820] :
        ( hBOOL(hAPP_P1235399154l_bool(U_2820,sK635(U_2820)))
        | ! [U_2816,U_2815] : ~ hBOOL(hAPP_P1235399154l_bool(U_2820,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_2816),U_2815))) )
    & ! [U_2819] :
        ( hBOOL(hAPP_P1235399154l_bool(U_2819,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,sK633(U_2819)),sK634(U_2819))))
        | ! [U_2812] : ~ hBOOL(hAPP_P1235399154l_bool(U_2819,U_2812)) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK635]),skolemize(U_2817,sK635(U_2820))],[f_485_5]) ).

cnf(f_485_7,plain,
    ( hBOOL(hAPP_P1235399154l_bool(U_2819,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,sK633(U_2819)),sK634(U_2819))))
    | ~ hBOOL(hAPP_P1235399154l_bool(U_2819,U_2812)) ),
    inference(clausify,[status(thm)],[f_485_6]) ).

cnf(f_485_8,plain,
    ( hBOOL(hAPP_P1235399154l_bool(U_2820,sK635(U_2820)))
    | ~ hBOOL(hAPP_P1235399154l_bool(U_2820,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_2816),U_2815))) ),
    inference(clausify,[status(thm)],[f_485_6]) ).

fof(f_486_1,plain,
    ! [Pa] :
      ( ( ? [X1] : hBOOL(hAPP_P159683425l_bool(Pa,X1))
        | ! [A_1,B_2] : ~ hBOOL(hAPP_P159683425l_bool(Pa,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A_1),B_2))) )
      & ( ? [A_1,B_2] : hBOOL(hAPP_P159683425l_bool(Pa,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A_1),B_2)))
        | ! [X1] : ~ hBOOL(hAPP_P159683425l_bool(Pa,X1)) ) ),
    inference(fof_nnf,[status(thm)],[fact_344_split__paired__Ex]) ).

fof(f_486_2,plain,
    ! [U_2827] :
      ( ( ? [U_2826] : hBOOL(hAPP_P159683425l_bool(U_2827,U_2826))
        | ! [U_2825,U_2824] : ~ hBOOL(hAPP_P159683425l_bool(U_2827,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_2825),U_2824))) )
      & ( ? [U_2823,U_2822] : hBOOL(hAPP_P159683425l_bool(U_2827,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_2823),U_2822)))
        | ! [U_2821] : ~ hBOOL(hAPP_P159683425l_bool(U_2827,U_2821)) ) ),
    inference(variable_rename,[status(thm)],[f_486_1]) ).

fof(f_486_3,plain,
    ( ! [U_2829] :
        ( ? [U_2826] : hBOOL(hAPP_P159683425l_bool(U_2829,U_2826))
        | ! [U_2825,U_2824] : ~ hBOOL(hAPP_P159683425l_bool(U_2829,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_2825),U_2824))) )
    & ! [U_2828] :
        ( ? [U_2823,U_2822] : hBOOL(hAPP_P159683425l_bool(U_2828,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_2823),U_2822)))
        | ! [U_2821] : ~ hBOOL(hAPP_P159683425l_bool(U_2828,U_2821)) ) ),
    inference(miniscope,[status(thm)],[f_486_2]) ).

fof(f_486_4,plain,
    ( ! [U_2829] :
        ( ? [U_2826] : hBOOL(hAPP_P159683425l_bool(U_2829,U_2826))
        | ! [U_2825,U_2824] : ~ hBOOL(hAPP_P159683425l_bool(U_2829,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_2825),U_2824))) )
    & ! [U_2828] :
        ( ? [U_2822] : hBOOL(hAPP_P159683425l_bool(U_2828,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK636(U_2828)),U_2822)))
        | ! [U_2821] : ~ hBOOL(hAPP_P159683425l_bool(U_2828,U_2821)) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK636]),skolemize(U_2823,sK636(U_2828))],[f_486_3]) ).

fof(f_486_5,plain,
    ( ! [U_2829] :
        ( ? [U_2826] : hBOOL(hAPP_P159683425l_bool(U_2829,U_2826))
        | ! [U_2825,U_2824] : ~ hBOOL(hAPP_P159683425l_bool(U_2829,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_2825),U_2824))) )
    & ! [U_2828] :
        ( hBOOL(hAPP_P159683425l_bool(U_2828,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK636(U_2828)),sK637(U_2828))))
        | ! [U_2821] : ~ hBOOL(hAPP_P159683425l_bool(U_2828,U_2821)) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK637]),skolemize(U_2822,sK637(U_2828))],[f_486_4]) ).

fof(f_486_6,plain,
    ( ! [U_2829] :
        ( hBOOL(hAPP_P159683425l_bool(U_2829,sK638(U_2829)))
        | ! [U_2825,U_2824] : ~ hBOOL(hAPP_P159683425l_bool(U_2829,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_2825),U_2824))) )
    & ! [U_2828] :
        ( hBOOL(hAPP_P159683425l_bool(U_2828,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK636(U_2828)),sK637(U_2828))))
        | ! [U_2821] : ~ hBOOL(hAPP_P159683425l_bool(U_2828,U_2821)) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK638]),skolemize(U_2826,sK638(U_2829))],[f_486_5]) ).

cnf(f_486_7,plain,
    ( hBOOL(hAPP_P159683425l_bool(U_2828,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK636(U_2828)),sK637(U_2828))))
    | ~ hBOOL(hAPP_P159683425l_bool(U_2828,U_2821)) ),
    inference(clausify,[status(thm)],[f_486_6]) ).

cnf(f_486_8,plain,
    ( hBOOL(hAPP_P159683425l_bool(U_2829,sK638(U_2829)))
    | ~ hBOOL(hAPP_P159683425l_bool(U_2829,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_2825),U_2824))) ),
    inference(clausify,[status(thm)],[f_486_6]) ).

fof(f_487_1,plain,
    ! [Pa] :
      ( ( ? [X1] : hBOOL(hAPP_P1708370145l_bool(Pa,X1))
        | ! [A_1,B_2] : ~ hBOOL(hAPP_P1708370145l_bool(Pa,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A_1),B_2))) )
      & ( ? [A_1,B_2] : hBOOL(hAPP_P1708370145l_bool(Pa,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A_1),B_2)))
        | ! [X1] : ~ hBOOL(hAPP_P1708370145l_bool(Pa,X1)) ) ),
    inference(fof_nnf,[status(thm)],[fact_345_split__paired__Ex]) ).

fof(f_487_2,plain,
    ! [U_2836] :
      ( ( ? [U_2835] : hBOOL(hAPP_P1708370145l_bool(U_2836,U_2835))
        | ! [U_2834,U_2833] : ~ hBOOL(hAPP_P1708370145l_bool(U_2836,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_2834),U_2833))) )
      & ( ? [U_2832,U_2831] : hBOOL(hAPP_P1708370145l_bool(U_2836,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_2832),U_2831)))
        | ! [U_2830] : ~ hBOOL(hAPP_P1708370145l_bool(U_2836,U_2830)) ) ),
    inference(variable_rename,[status(thm)],[f_487_1]) ).

fof(f_487_3,plain,
    ( ! [U_2838] :
        ( ? [U_2835] : hBOOL(hAPP_P1708370145l_bool(U_2838,U_2835))
        | ! [U_2834,U_2833] : ~ hBOOL(hAPP_P1708370145l_bool(U_2838,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_2834),U_2833))) )
    & ! [U_2837] :
        ( ? [U_2832,U_2831] : hBOOL(hAPP_P1708370145l_bool(U_2837,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_2832),U_2831)))
        | ! [U_2830] : ~ hBOOL(hAPP_P1708370145l_bool(U_2837,U_2830)) ) ),
    inference(miniscope,[status(thm)],[f_487_2]) ).

fof(f_487_4,plain,
    ( ! [U_2838] :
        ( ? [U_2835] : hBOOL(hAPP_P1708370145l_bool(U_2838,U_2835))
        | ! [U_2834,U_2833] : ~ hBOOL(hAPP_P1708370145l_bool(U_2838,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_2834),U_2833))) )
    & ! [U_2837] :
        ( ? [U_2831] : hBOOL(hAPP_P1708370145l_bool(U_2837,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK639(U_2837)),U_2831)))
        | ! [U_2830] : ~ hBOOL(hAPP_P1708370145l_bool(U_2837,U_2830)) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK639]),skolemize(U_2832,sK639(U_2837))],[f_487_3]) ).

fof(f_487_5,plain,
    ( ! [U_2838] :
        ( ? [U_2835] : hBOOL(hAPP_P1708370145l_bool(U_2838,U_2835))
        | ! [U_2834,U_2833] : ~ hBOOL(hAPP_P1708370145l_bool(U_2838,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_2834),U_2833))) )
    & ! [U_2837] :
        ( hBOOL(hAPP_P1708370145l_bool(U_2837,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK639(U_2837)),sK640(U_2837))))
        | ! [U_2830] : ~ hBOOL(hAPP_P1708370145l_bool(U_2837,U_2830)) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK640]),skolemize(U_2831,sK640(U_2837))],[f_487_4]) ).

fof(f_487_6,plain,
    ( ! [U_2838] :
        ( hBOOL(hAPP_P1708370145l_bool(U_2838,sK641(U_2838)))
        | ! [U_2834,U_2833] : ~ hBOOL(hAPP_P1708370145l_bool(U_2838,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_2834),U_2833))) )
    & ! [U_2837] :
        ( hBOOL(hAPP_P1708370145l_bool(U_2837,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK639(U_2837)),sK640(U_2837))))
        | ! [U_2830] : ~ hBOOL(hAPP_P1708370145l_bool(U_2837,U_2830)) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK641]),skolemize(U_2835,sK641(U_2838))],[f_487_5]) ).

cnf(f_487_7,plain,
    ( hBOOL(hAPP_P1708370145l_bool(U_2837,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK639(U_2837)),sK640(U_2837))))
    | ~ hBOOL(hAPP_P1708370145l_bool(U_2837,U_2830)) ),
    inference(clausify,[status(thm)],[f_487_6]) ).

cnf(f_487_8,plain,
    ( hBOOL(hAPP_P1708370145l_bool(U_2838,sK641(U_2838)))
    | ~ hBOOL(hAPP_P1708370145l_bool(U_2838,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_2834),U_2833))) ),
    inference(clausify,[status(thm)],[f_487_6]) ).

fof(f_488_1,plain,
    ! [Pa] :
      ( ( ? [X1] : hBOOL(hAPP_P282169671l_bool(Pa,X1))
        | ! [A_1,B_2] : ~ hBOOL(hAPP_P282169671l_bool(Pa,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_1),B_2))) )
      & ( ? [A_1,B_2] : hBOOL(hAPP_P282169671l_bool(Pa,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_1),B_2)))
        | ! [X1] : ~ hBOOL(hAPP_P282169671l_bool(Pa,X1)) ) ),
    inference(fof_nnf,[status(thm)],[fact_346_split__paired__Ex]) ).

fof(f_488_2,plain,
    ! [U_2845] :
      ( ( ? [U_2844] : hBOOL(hAPP_P282169671l_bool(U_2845,U_2844))
        | ! [U_2843,U_2842] : ~ hBOOL(hAPP_P282169671l_bool(U_2845,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_2843),U_2842))) )
      & ( ? [U_2841,U_2840] : hBOOL(hAPP_P282169671l_bool(U_2845,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_2841),U_2840)))
        | ! [U_2839] : ~ hBOOL(hAPP_P282169671l_bool(U_2845,U_2839)) ) ),
    inference(variable_rename,[status(thm)],[f_488_1]) ).

fof(f_488_3,plain,
    ( ! [U_2847] :
        ( ? [U_2844] : hBOOL(hAPP_P282169671l_bool(U_2847,U_2844))
        | ! [U_2843,U_2842] : ~ hBOOL(hAPP_P282169671l_bool(U_2847,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_2843),U_2842))) )
    & ! [U_2846] :
        ( ? [U_2841,U_2840] : hBOOL(hAPP_P282169671l_bool(U_2846,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_2841),U_2840)))
        | ! [U_2839] : ~ hBOOL(hAPP_P282169671l_bool(U_2846,U_2839)) ) ),
    inference(miniscope,[status(thm)],[f_488_2]) ).

fof(f_488_4,plain,
    ( ! [U_2847] :
        ( ? [U_2844] : hBOOL(hAPP_P282169671l_bool(U_2847,U_2844))
        | ! [U_2843,U_2842] : ~ hBOOL(hAPP_P282169671l_bool(U_2847,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_2843),U_2842))) )
    & ! [U_2846] :
        ( ? [U_2840] : hBOOL(hAPP_P282169671l_bool(U_2846,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK642(U_2846)),U_2840)))
        | ! [U_2839] : ~ hBOOL(hAPP_P282169671l_bool(U_2846,U_2839)) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK642]),skolemize(U_2841,sK642(U_2846))],[f_488_3]) ).

fof(f_488_5,plain,
    ( ! [U_2847] :
        ( ? [U_2844] : hBOOL(hAPP_P282169671l_bool(U_2847,U_2844))
        | ! [U_2843,U_2842] : ~ hBOOL(hAPP_P282169671l_bool(U_2847,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_2843),U_2842))) )
    & ! [U_2846] :
        ( hBOOL(hAPP_P282169671l_bool(U_2846,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK642(U_2846)),sK643(U_2846))))
        | ! [U_2839] : ~ hBOOL(hAPP_P282169671l_bool(U_2846,U_2839)) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK643]),skolemize(U_2840,sK643(U_2846))],[f_488_4]) ).

fof(f_488_6,plain,
    ( ! [U_2847] :
        ( hBOOL(hAPP_P282169671l_bool(U_2847,sK644(U_2847)))
        | ! [U_2843,U_2842] : ~ hBOOL(hAPP_P282169671l_bool(U_2847,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_2843),U_2842))) )
    & ! [U_2846] :
        ( hBOOL(hAPP_P282169671l_bool(U_2846,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK642(U_2846)),sK643(U_2846))))
        | ! [U_2839] : ~ hBOOL(hAPP_P282169671l_bool(U_2846,U_2839)) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK644]),skolemize(U_2844,sK644(U_2847))],[f_488_5]) ).

cnf(f_488_7,plain,
    ( hBOOL(hAPP_P282169671l_bool(U_2846,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK642(U_2846)),sK643(U_2846))))
    | ~ hBOOL(hAPP_P282169671l_bool(U_2846,U_2839)) ),
    inference(clausify,[status(thm)],[f_488_6]) ).

cnf(f_488_8,plain,
    ( hBOOL(hAPP_P282169671l_bool(U_2847,sK644(U_2847)))
    | ~ hBOOL(hAPP_P282169671l_bool(U_2847,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_2843),U_2842))) ),
    inference(clausify,[status(thm)],[f_488_6]) ).

fof(f_489_1,plain,
    ! [T_6,P_2,S_6,U_1] :
      ( hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(P_2),S_6),T_6))
      | ~ hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(P_2),U_1),T_6))
      | ~ hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(P_2),S_6),U_1)) ),
    inference(fof_nnf,[status(thm)],[fact_347_widen__trans]) ).

fof(f_489_2,plain,
    ! [U_2851,U_2850,U_2849,U_2848] :
      ( hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(U_2850),U_2849),U_2851))
      | ~ hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(U_2850),U_2848),U_2851))
      | ~ hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(U_2850),U_2849),U_2848)) ),
    inference(variable_rename,[status(thm)],[f_489_1]) ).

cnf(f_489_3,plain,
    ( hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(U_2850),U_2849),U_2851))
    | ~ hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(U_2850),U_2848),U_2851))
    | ~ hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(U_2850),U_2849),U_2848)) ),
    inference(clausify,[status(thm)],[f_489_2]) ).

fof(f_490_1,plain,
    hBOOL(wTrt_1(p,ha,e,block_list_char(v_1,t_1,seq_list_char(lAss_list_char(v_1,hAPP_v834067052t_char(val_list_char,v)),ea)),t)),
    inference(fof_nnf,[status(thm)],[fact_348_InitBlockRed_I5_J]) ).

cnf(f_490_2,plain,
    hBOOL(wTrt_1(p,ha,e,block_list_char(v_1,t_1,seq_list_char(lAss_list_char(v_1,hAPP_v834067052t_char(val_list_char,v)),ea)),t)),
    inference(clausify,[status(thm)],[f_490_1]) ).

fof(f_491_1,plain,
    ! [Pa,Ea,S] :
      ( ( hBOOL(hAPP_P159683425l_bool(typeSa1700205512_sconf(Pa,Ea),S))
        | ~ hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,cOMBS_570216337l_bool(hAPP_f1523875321l_bool(hAPP_f592397849l_bool(cOMBB_1718333400on_val,cOMBB_383678192on_val),hAPP_f1452292669l_bool(hAPP_f1977633121l_bool(cOMBB_1303934920on_val,fconj),hconf_97414254t_char(Pa))),hAPP_f550652027l_bool(hAPP_f838396643l_bool(cOMBC_2027949654l_bool,hAPP_f857351829l_bool(hAPP_f348318673l_bool(cOMBB_1518282696on_val,cOMBC_832625297y_bool),lconf_496643946t_char(Pa))),Ea))),S)) )
      & ( hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,cOMBS_570216337l_bool(hAPP_f1523875321l_bool(hAPP_f592397849l_bool(cOMBB_1718333400on_val,cOMBB_383678192on_val),hAPP_f1452292669l_bool(hAPP_f1977633121l_bool(cOMBB_1303934920on_val,fconj),hconf_97414254t_char(Pa))),hAPP_f550652027l_bool(hAPP_f838396643l_bool(cOMBC_2027949654l_bool,hAPP_f857351829l_bool(hAPP_f348318673l_bool(cOMBB_1518282696on_val,cOMBC_832625297y_bool),lconf_496643946t_char(Pa))),Ea))),S))
        | ~ hBOOL(hAPP_P159683425l_bool(typeSa1700205512_sconf(Pa,Ea),S)) ) ),
    inference(fof_nnf,[status(thm)],[fact_349_sconf__def]) ).

fof(f_491_2,plain,
    ! [U_2854,U_2853,U_2852] :
      ( ( hBOOL(hAPP_P159683425l_bool(typeSa1700205512_sconf(U_2854,U_2853),U_2852))
        | ~ hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,cOMBS_570216337l_bool(hAPP_f1523875321l_bool(hAPP_f592397849l_bool(cOMBB_1718333400on_val,cOMBB_383678192on_val),hAPP_f1452292669l_bool(hAPP_f1977633121l_bool(cOMBB_1303934920on_val,fconj),hconf_97414254t_char(U_2854))),hAPP_f550652027l_bool(hAPP_f838396643l_bool(cOMBC_2027949654l_bool,hAPP_f857351829l_bool(hAPP_f348318673l_bool(cOMBB_1518282696on_val,cOMBC_832625297y_bool),lconf_496643946t_char(U_2854))),U_2853))),U_2852)) )
      & ( hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,cOMBS_570216337l_bool(hAPP_f1523875321l_bool(hAPP_f592397849l_bool(cOMBB_1718333400on_val,cOMBB_383678192on_val),hAPP_f1452292669l_bool(hAPP_f1977633121l_bool(cOMBB_1303934920on_val,fconj),hconf_97414254t_char(U_2854))),hAPP_f550652027l_bool(hAPP_f838396643l_bool(cOMBC_2027949654l_bool,hAPP_f857351829l_bool(hAPP_f348318673l_bool(cOMBB_1518282696on_val,cOMBC_832625297y_bool),lconf_496643946t_char(U_2854))),U_2853))),U_2852))
        | ~ hBOOL(hAPP_P159683425l_bool(typeSa1700205512_sconf(U_2854,U_2853),U_2852)) ) ),
    inference(variable_rename,[status(thm)],[f_491_1]) ).

fof(f_491_3,plain,
    ( ! [U_2860,U_2858,U_2856] :
        ( hBOOL(hAPP_P159683425l_bool(typeSa1700205512_sconf(U_2860,U_2858),U_2856))
        | ~ hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,cOMBS_570216337l_bool(hAPP_f1523875321l_bool(hAPP_f592397849l_bool(cOMBB_1718333400on_val,cOMBB_383678192on_val),hAPP_f1452292669l_bool(hAPP_f1977633121l_bool(cOMBB_1303934920on_val,fconj),hconf_97414254t_char(U_2860))),hAPP_f550652027l_bool(hAPP_f838396643l_bool(cOMBC_2027949654l_bool,hAPP_f857351829l_bool(hAPP_f348318673l_bool(cOMBB_1518282696on_val,cOMBC_832625297y_bool),lconf_496643946t_char(U_2860))),U_2858))),U_2856)) )
    & ! [U_2859,U_2857,U_2855] :
        ( hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,cOMBS_570216337l_bool(hAPP_f1523875321l_bool(hAPP_f592397849l_bool(cOMBB_1718333400on_val,cOMBB_383678192on_val),hAPP_f1452292669l_bool(hAPP_f1977633121l_bool(cOMBB_1303934920on_val,fconj),hconf_97414254t_char(U_2859))),hAPP_f550652027l_bool(hAPP_f838396643l_bool(cOMBC_2027949654l_bool,hAPP_f857351829l_bool(hAPP_f348318673l_bool(cOMBB_1518282696on_val,cOMBC_832625297y_bool),lconf_496643946t_char(U_2859))),U_2857))),U_2855))
        | ~ hBOOL(hAPP_P159683425l_bool(typeSa1700205512_sconf(U_2859,U_2857),U_2855)) ) ),
    inference(miniscope,[status(thm)],[f_491_2]) ).

cnf(f_491_4,plain,
    ( hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,cOMBS_570216337l_bool(hAPP_f1523875321l_bool(hAPP_f592397849l_bool(cOMBB_1718333400on_val,cOMBB_383678192on_val),hAPP_f1452292669l_bool(hAPP_f1977633121l_bool(cOMBB_1303934920on_val,fconj),hconf_97414254t_char(U_2859))),hAPP_f550652027l_bool(hAPP_f838396643l_bool(cOMBC_2027949654l_bool,hAPP_f857351829l_bool(hAPP_f348318673l_bool(cOMBB_1518282696on_val,cOMBC_832625297y_bool),lconf_496643946t_char(U_2859))),U_2857))),U_2855))
    | ~ hBOOL(hAPP_P159683425l_bool(typeSa1700205512_sconf(U_2859,U_2857),U_2855)) ),
    inference(clausify,[status(thm)],[f_491_3]) ).

cnf(f_491_5,plain,
    ( hBOOL(hAPP_P159683425l_bool(typeSa1700205512_sconf(U_2860,U_2858),U_2856))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,cOMBS_570216337l_bool(hAPP_f1523875321l_bool(hAPP_f592397849l_bool(cOMBB_1718333400on_val,cOMBB_383678192on_val),hAPP_f1452292669l_bool(hAPP_f1977633121l_bool(cOMBB_1303934920on_val,fconj),hconf_97414254t_char(U_2860))),hAPP_f550652027l_bool(hAPP_f838396643l_bool(cOMBC_2027949654l_bool,hAPP_f857351829l_bool(hAPP_f348318673l_bool(cOMBB_1518282696on_val,cOMBC_832625297y_bool),lconf_496643946t_char(U_2860))),U_2858))),U_2856)) ),
    inference(clausify,[status(thm)],[f_491_3]) ).

fof(f_492_1,plain,
    ! [Eb,Hb,Lb,E_b,H_b,L_b,Pa] :
      ( hBOOL(hext(Hb,H_b))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),L_b)))),red(Pa))) ),
    inference(fof_nnf,[status(thm)],[fact_350_red__hext__incr]) ).

fof(f_492_2,plain,
    ! [U_2867,U_2866,U_2865,U_2864,U_2863,U_2862,U_2861] :
      ( hBOOL(hext(U_2866,U_2863))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_2867),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_2866),U_2865))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_2864),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_2863),U_2862)))),red(U_2861))) ),
    inference(variable_rename,[status(thm)],[f_492_1]) ).

fof(f_492_3,plain,
    ! [U_2867,U_2866,U_2865,U_2864,U_2863] :
      ( ! [U_2862,U_2861] : ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_2867),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_2866),U_2865))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_2864),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_2863),U_2862)))),red(U_2861)))
      | hBOOL(hext(U_2866,U_2863)) ),
    inference(miniscope,[status(thm)],[f_492_2]) ).

cnf(f_492_4,plain,
    ( ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_2867),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_2866),U_2865))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_2864),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_2863),U_2862)))),red(U_2861)))
    | hBOOL(hext(U_2866,U_2863)) ),
    inference(clausify,[status(thm)],[f_492_3]) ).

fof(f_493_1,plain,
    ! [Eb,Hb,Lb,E_b,H_b,L_b,Pa] :
      ( hBOOL(d_list_char(E_b,hAPP_f363827556r_bool(some_f80346385r_bool,dom_list_char_val(L_b))))
      | ~ hBOOL(d_list_char(Eb,hAPP_f363827556r_bool(some_f80346385r_bool,dom_list_char_val(Lb))))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),L_b)))),red(Pa)))
      | ~ hBOOL(wf_pro755087577t_char(wf_J_mdecl,Pa)) ),
    inference(fof_nnf,[status(thm)],[fact_351_red__preserves__defass]) ).

fof(f_493_2,plain,
    ! [U_2874,U_2873,U_2872,U_2871,U_2870,U_2869,U_2868] :
      ( hBOOL(d_list_char(U_2871,hAPP_f363827556r_bool(some_f80346385r_bool,dom_list_char_val(U_2869))))
      | ~ hBOOL(d_list_char(U_2874,hAPP_f363827556r_bool(some_f80346385r_bool,dom_list_char_val(U_2872))))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_2874),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_2873),U_2872))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_2871),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_2870),U_2869)))),red(U_2868)))
      | ~ hBOOL(wf_pro755087577t_char(wf_J_mdecl,U_2868)) ),
    inference(variable_rename,[status(thm)],[f_493_1]) ).

cnf(f_493_3,plain,
    ( hBOOL(d_list_char(U_2871,hAPP_f363827556r_bool(some_f80346385r_bool,dom_list_char_val(U_2869))))
    | ~ hBOOL(d_list_char(U_2874,hAPP_f363827556r_bool(some_f80346385r_bool,dom_list_char_val(U_2872))))
    | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_2874),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_2873),U_2872))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_2871),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_2870),U_2869)))),red(U_2868)))
    | ~ hBOOL(wf_pro755087577t_char(wf_J_mdecl,U_2868)) ),
    inference(clausify,[status(thm)],[f_493_2]) ).

fof(f_494_1,plain,
    ! [A,A_3] :
      ( ( hAPP_nat_option_nat(some_nat,A) = hAPP_nat_option_nat(some_nat,A_3)
        | A != A_3 )
      & ( A = A_3
        | hAPP_nat_option_nat(some_nat,A) != hAPP_nat_option_nat(some_nat,A_3) ) ),
    inference(fof_nnf,[status(thm)],[fact_352_option_Oinject]) ).

fof(f_494_2,plain,
    ! [U_2876,U_2875] :
      ( ( hAPP_nat_option_nat(some_nat,U_2876) = hAPP_nat_option_nat(some_nat,U_2875)
        | U_2876 != U_2875 )
      & ( U_2876 = U_2875
        | hAPP_nat_option_nat(some_nat,U_2876) != hAPP_nat_option_nat(some_nat,U_2875) ) ),
    inference(variable_rename,[status(thm)],[f_494_1]) ).

fof(f_494_3,plain,
    ( ! [U_2880,U_2878] :
        ( hAPP_nat_option_nat(some_nat,U_2880) = hAPP_nat_option_nat(some_nat,U_2878)
        | U_2880 != U_2878 )
    & ! [U_2879,U_2877] :
        ( U_2879 = U_2877
        | hAPP_nat_option_nat(some_nat,U_2879) != hAPP_nat_option_nat(some_nat,U_2877) ) ),
    inference(miniscope,[status(thm)],[f_494_2]) ).

cnf(f_494_4,plain,
    ( U_2879 = U_2877
    | hAPP_nat_option_nat(some_nat,U_2879) != hAPP_nat_option_nat(some_nat,U_2877) ),
    inference(clausify,[status(thm)],[f_494_3]) ).

cnf(f_494_5,plain,
    ( hAPP_nat_option_nat(some_nat,U_2880) = hAPP_nat_option_nat(some_nat,U_2878)
    | U_2880 != U_2878 ),
    inference(clausify,[status(thm)],[f_494_3]) ).

fof(f_495_1,plain,
    ! [A,A_3] :
      ( ( hAPP_P1510515380on_val(some_P948696889on_val,A) = hAPP_P1510515380on_val(some_P948696889on_val,A_3)
        | A != A_3 )
      & ( A = A_3
        | hAPP_P1510515380on_val(some_P948696889on_val,A) != hAPP_P1510515380on_val(some_P948696889on_val,A_3) ) ),
    inference(fof_nnf,[status(thm)],[fact_353_option_Oinject]) ).

fof(f_495_2,plain,
    ! [U_2882,U_2881] :
      ( ( hAPP_P1510515380on_val(some_P948696889on_val,U_2882) = hAPP_P1510515380on_val(some_P948696889on_val,U_2881)
        | U_2882 != U_2881 )
      & ( U_2882 = U_2881
        | hAPP_P1510515380on_val(some_P948696889on_val,U_2882) != hAPP_P1510515380on_val(some_P948696889on_val,U_2881) ) ),
    inference(variable_rename,[status(thm)],[f_495_1]) ).

fof(f_495_3,plain,
    ( ! [U_2886,U_2884] :
        ( hAPP_P1510515380on_val(some_P948696889on_val,U_2886) = hAPP_P1510515380on_val(some_P948696889on_val,U_2884)
        | U_2886 != U_2884 )
    & ! [U_2885,U_2883] :
        ( U_2885 = U_2883
        | hAPP_P1510515380on_val(some_P948696889on_val,U_2885) != hAPP_P1510515380on_val(some_P948696889on_val,U_2883) ) ),
    inference(miniscope,[status(thm)],[f_495_2]) ).

cnf(f_495_4,plain,
    ( U_2885 = U_2883
    | hAPP_P1510515380on_val(some_P948696889on_val,U_2885) != hAPP_P1510515380on_val(some_P948696889on_val,U_2883) ),
    inference(clausify,[status(thm)],[f_495_3]) ).

cnf(f_495_5,plain,
    ( hAPP_P1510515380on_val(some_P948696889on_val,U_2886) = hAPP_P1510515380on_val(some_P948696889on_val,U_2884)
    | U_2886 != U_2884 ),
    inference(clausify,[status(thm)],[f_495_3]) ).

fof(f_496_1,plain,
    ! [A,A_3] :
      ( ( hAPP_ty_option_ty(some_ty,A) = hAPP_ty_option_ty(some_ty,A_3)
        | A != A_3 )
      & ( A = A_3
        | hAPP_ty_option_ty(some_ty,A) != hAPP_ty_option_ty(some_ty,A_3) ) ),
    inference(fof_nnf,[status(thm)],[fact_354_option_Oinject]) ).

fof(f_496_2,plain,
    ! [U_2888,U_2887] :
      ( ( hAPP_ty_option_ty(some_ty,U_2888) = hAPP_ty_option_ty(some_ty,U_2887)
        | U_2888 != U_2887 )
      & ( U_2888 = U_2887
        | hAPP_ty_option_ty(some_ty,U_2888) != hAPP_ty_option_ty(some_ty,U_2887) ) ),
    inference(variable_rename,[status(thm)],[f_496_1]) ).

fof(f_496_3,plain,
    ( ! [U_2892,U_2890] :
        ( hAPP_ty_option_ty(some_ty,U_2892) = hAPP_ty_option_ty(some_ty,U_2890)
        | U_2892 != U_2890 )
    & ! [U_2891,U_2889] :
        ( U_2891 = U_2889
        | hAPP_ty_option_ty(some_ty,U_2891) != hAPP_ty_option_ty(some_ty,U_2889) ) ),
    inference(miniscope,[status(thm)],[f_496_2]) ).

cnf(f_496_4,plain,
    ( U_2891 = U_2889
    | hAPP_ty_option_ty(some_ty,U_2891) != hAPP_ty_option_ty(some_ty,U_2889) ),
    inference(clausify,[status(thm)],[f_496_3]) ).

cnf(f_496_5,plain,
    ( hAPP_ty_option_ty(some_ty,U_2892) = hAPP_ty_option_ty(some_ty,U_2890)
    | U_2892 != U_2890 ),
    inference(clausify,[status(thm)],[f_496_3]) ).

fof(f_497_1,plain,
    ! [A,A_3] :
      ( ( hAPP_f363827556r_bool(some_f80346385r_bool,A) = hAPP_f363827556r_bool(some_f80346385r_bool,A_3)
        | A != A_3 )
      & ( A = A_3
        | hAPP_f363827556r_bool(some_f80346385r_bool,A) != hAPP_f363827556r_bool(some_f80346385r_bool,A_3) ) ),
    inference(fof_nnf,[status(thm)],[fact_355_option_Oinject]) ).

fof(f_497_2,plain,
    ! [U_2894,U_2893] :
      ( ( hAPP_f363827556r_bool(some_f80346385r_bool,U_2894) = hAPP_f363827556r_bool(some_f80346385r_bool,U_2893)
        | U_2894 != U_2893 )
      & ( U_2894 = U_2893
        | hAPP_f363827556r_bool(some_f80346385r_bool,U_2894) != hAPP_f363827556r_bool(some_f80346385r_bool,U_2893) ) ),
    inference(variable_rename,[status(thm)],[f_497_1]) ).

fof(f_497_3,plain,
    ( ! [U_2898,U_2896] :
        ( hAPP_f363827556r_bool(some_f80346385r_bool,U_2898) = hAPP_f363827556r_bool(some_f80346385r_bool,U_2896)
        | U_2898 != U_2896 )
    & ! [U_2897,U_2895] :
        ( U_2897 = U_2895
        | hAPP_f363827556r_bool(some_f80346385r_bool,U_2897) != hAPP_f363827556r_bool(some_f80346385r_bool,U_2895) ) ),
    inference(miniscope,[status(thm)],[f_497_2]) ).

cnf(f_497_4,plain,
    ( U_2897 = U_2895
    | hAPP_f363827556r_bool(some_f80346385r_bool,U_2897) != hAPP_f363827556r_bool(some_f80346385r_bool,U_2895) ),
    inference(clausify,[status(thm)],[f_497_3]) ).

cnf(f_497_5,plain,
    ( hAPP_f363827556r_bool(some_f80346385r_bool,U_2898) = hAPP_f363827556r_bool(some_f80346385r_bool,U_2896)
    | U_2898 != U_2896 ),
    inference(clausify,[status(thm)],[f_497_3]) ).

fof(f_498_1,plain,
    ! [A,A_3] :
      ( ( hAPP_val_option_val(some_val,A) = hAPP_val_option_val(some_val,A_3)
        | A != A_3 )
      & ( A = A_3
        | hAPP_val_option_val(some_val,A) != hAPP_val_option_val(some_val,A_3) ) ),
    inference(fof_nnf,[status(thm)],[fact_356_option_Oinject]) ).

fof(f_498_2,plain,
    ! [U_2900,U_2899] :
      ( ( hAPP_val_option_val(some_val,U_2900) = hAPP_val_option_val(some_val,U_2899)
        | U_2900 != U_2899 )
      & ( U_2900 = U_2899
        | hAPP_val_option_val(some_val,U_2900) != hAPP_val_option_val(some_val,U_2899) ) ),
    inference(variable_rename,[status(thm)],[f_498_1]) ).

fof(f_498_3,plain,
    ( ! [U_2904,U_2902] :
        ( hAPP_val_option_val(some_val,U_2904) = hAPP_val_option_val(some_val,U_2902)
        | U_2904 != U_2902 )
    & ! [U_2903,U_2901] :
        ( U_2903 = U_2901
        | hAPP_val_option_val(some_val,U_2903) != hAPP_val_option_val(some_val,U_2901) ) ),
    inference(miniscope,[status(thm)],[f_498_2]) ).

cnf(f_498_4,plain,
    ( U_2903 = U_2901
    | hAPP_val_option_val(some_val,U_2903) != hAPP_val_option_val(some_val,U_2901) ),
    inference(clausify,[status(thm)],[f_498_3]) ).

cnf(f_498_5,plain,
    ( hAPP_val_option_val(some_val,U_2904) = hAPP_val_option_val(some_val,U_2902)
    | U_2904 != U_2902 ),
    inference(clausify,[status(thm)],[f_498_3]) ).

fof(f_499_1,plain,
    ! [F_1,A,B] :
      ( hBOOL(hAPP_e544220455r_bool(hAPP_l214204733r_bool(produc288369490r_bool(F_1),A),B))
      | ~ hBOOL(hAPP_P2014166431r_bool(F_1,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,A),B))) ),
    inference(fof_nnf,[status(thm)],[fact_357_curryI]) ).

fof(f_499_2,plain,
    ! [U_2907,U_2906,U_2905] :
      ( hBOOL(hAPP_e544220455r_bool(hAPP_l214204733r_bool(produc288369490r_bool(U_2907),U_2906),U_2905))
      | ~ hBOOL(hAPP_P2014166431r_bool(U_2907,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_2906),U_2905))) ),
    inference(variable_rename,[status(thm)],[f_499_1]) ).

cnf(f_499_3,plain,
    ( hBOOL(hAPP_e544220455r_bool(hAPP_l214204733r_bool(produc288369490r_bool(U_2907),U_2906),U_2905))
    | ~ hBOOL(hAPP_P2014166431r_bool(U_2907,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_2906),U_2905))) ),
    inference(clausify,[status(thm)],[f_499_2]) ).

fof(f_500_1,plain,
    ! [F_1,A,B] :
      ( hBOOL(hAPP_l902158906r_bool(hAPP_l24694616r_bool(produc2116052801r_bool(F_1),A),B))
      | ~ hBOOL(hAPP_P828904212r_bool(F_1,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,A),B))) ),
    inference(fof_nnf,[status(thm)],[fact_358_curryI]) ).

fof(f_500_2,plain,
    ! [U_2910,U_2909,U_2908] :
      ( hBOOL(hAPP_l902158906r_bool(hAPP_l24694616r_bool(produc2116052801r_bool(U_2910),U_2909),U_2908))
      | ~ hBOOL(hAPP_P828904212r_bool(U_2910,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_2909),U_2908))) ),
    inference(variable_rename,[status(thm)],[f_500_1]) ).

cnf(f_500_3,plain,
    ( hBOOL(hAPP_l902158906r_bool(hAPP_l24694616r_bool(produc2116052801r_bool(U_2910),U_2909),U_2908))
    | ~ hBOOL(hAPP_P828904212r_bool(U_2910,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_2909),U_2908))) ),
    inference(clausify,[status(thm)],[f_500_2]) ).

fof(f_501_1,plain,
    ! [F_1,A,B] :
      ( hBOOL(hAPP_P828904212r_bool(hAPP_l1342015621r_bool(produc266042248r_bool(F_1),A),B))
      | ~ hBOOL(hAPP_P659547099r_bool(F_1,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,A),B))) ),
    inference(fof_nnf,[status(thm)],[fact_359_curryI]) ).

fof(f_501_2,plain,
    ! [U_2913,U_2912,U_2911] :
      ( hBOOL(hAPP_P828904212r_bool(hAPP_l1342015621r_bool(produc266042248r_bool(U_2913),U_2912),U_2911))
      | ~ hBOOL(hAPP_P659547099r_bool(U_2913,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_2912),U_2911))) ),
    inference(variable_rename,[status(thm)],[f_501_1]) ).

cnf(f_501_3,plain,
    ( hBOOL(hAPP_P828904212r_bool(hAPP_l1342015621r_bool(produc266042248r_bool(U_2913),U_2912),U_2911))
    | ~ hBOOL(hAPP_P659547099r_bool(U_2913,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_2912),U_2911))) ),
    inference(clausify,[status(thm)],[f_501_2]) ).

fof(f_502_1,plain,
    ! [F_1,A,B] :
      ( hBOOL(hAPP_P659547099r_bool(hAPP_l2140727500r_bool(produc1588781647r_bool(F_1),A),B))
      | ~ hBOOL(hAPP_P1680401186r_bool(F_1,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,A),B))) ),
    inference(fof_nnf,[status(thm)],[fact_360_curryI]) ).

fof(f_502_2,plain,
    ! [U_2916,U_2915,U_2914] :
      ( hBOOL(hAPP_P659547099r_bool(hAPP_l2140727500r_bool(produc1588781647r_bool(U_2916),U_2915),U_2914))
      | ~ hBOOL(hAPP_P1680401186r_bool(U_2916,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_2915),U_2914))) ),
    inference(variable_rename,[status(thm)],[f_502_1]) ).

cnf(f_502_3,plain,
    ( hBOOL(hAPP_P659547099r_bool(hAPP_l2140727500r_bool(produc1588781647r_bool(U_2916),U_2915),U_2914))
    | ~ hBOOL(hAPP_P1680401186r_bool(U_2916,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_2915),U_2914))) ),
    inference(clausify,[status(thm)],[f_502_2]) ).

fof(f_503_1,plain,
    ! [F_1,A,B] :
      ( hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(produc550034914r_bool(F_1),A),B))
      | ~ hBOOL(hAPP_P2118621157r_bool(F_1,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,A),B))) ),
    inference(fof_nnf,[status(thm)],[fact_361_curryI]) ).

fof(f_503_2,plain,
    ! [U_2919,U_2918,U_2917] :
      ( hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(produc550034914r_bool(U_2919),U_2918),U_2917))
      | ~ hBOOL(hAPP_P2118621157r_bool(U_2919,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_2918),U_2917))) ),
    inference(variable_rename,[status(thm)],[f_503_1]) ).

cnf(f_503_3,plain,
    ( hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(produc550034914r_bool(U_2919),U_2918),U_2917))
    | ~ hBOOL(hAPP_P2118621157r_bool(U_2919,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_2918),U_2917))) ),
    inference(clausify,[status(thm)],[f_503_2]) ).

fof(f_504_1,plain,
    ! [F_1,A,B] :
      ( hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(produc156891095r_bool(F_1),A),B))
      | ~ hBOOL(hAPP_P1907982426r_bool(F_1,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,A),B))) ),
    inference(fof_nnf,[status(thm)],[fact_362_curryI]) ).

fof(f_504_2,plain,
    ! [U_2922,U_2921,U_2920] :
      ( hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(produc156891095r_bool(U_2922),U_2921),U_2920))
      | ~ hBOOL(hAPP_P1907982426r_bool(U_2922,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_2921),U_2920))) ),
    inference(variable_rename,[status(thm)],[f_504_1]) ).

cnf(f_504_3,plain,
    ( hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(produc156891095r_bool(U_2922),U_2921),U_2920))
    | ~ hBOOL(hAPP_P1907982426r_bool(U_2922,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_2921),U_2920))) ),
    inference(clausify,[status(thm)],[f_504_2]) ).

fof(f_505_1,plain,
    ! [F_1,A,B] :
      ( hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(produc1574020101r_bool(F_1),A),B))
      | ~ hBOOL(hAPP_P92196306r_bool(F_1,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,A),B))) ),
    inference(fof_nnf,[status(thm)],[fact_363_curryI]) ).

fof(f_505_2,plain,
    ! [U_2925,U_2924,U_2923] :
      ( hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(produc1574020101r_bool(U_2925),U_2924),U_2923))
      | ~ hBOOL(hAPP_P92196306r_bool(U_2925,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_2924),U_2923))) ),
    inference(variable_rename,[status(thm)],[f_505_1]) ).

cnf(f_505_3,plain,
    ( hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(produc1574020101r_bool(U_2925),U_2924),U_2923))
    | ~ hBOOL(hAPP_P92196306r_bool(U_2925,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_2924),U_2923))) ),
    inference(clausify,[status(thm)],[f_505_2]) ).

fof(f_506_1,plain,
    ! [F_1,A,B] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(produc1838470831l_bool(F_1),A),B))
      | ~ hBOOL(hAPP_P71593144l_bool(F_1,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,A),B))) ),
    inference(fof_nnf,[status(thm)],[fact_364_curryI]) ).

fof(f_506_2,plain,
    ! [U_2928,U_2927,U_2926] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(produc1838470831l_bool(U_2928),U_2927),U_2926))
      | ~ hBOOL(hAPP_P71593144l_bool(U_2928,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_2927),U_2926))) ),
    inference(variable_rename,[status(thm)],[f_506_1]) ).

cnf(f_506_3,plain,
    ( hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(produc1838470831l_bool(U_2928),U_2927),U_2926))
    | ~ hBOOL(hAPP_P71593144l_bool(U_2928,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_2927),U_2926))) ),
    inference(clausify,[status(thm)],[f_506_2]) ).

fof(f_507_1,plain,
    ! [F_1,A,B] :
      ( hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(produc2053127004l_bool(F_1),A),B))
      | ~ hBOOL(hAPP_P1333315679l_bool(F_1,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A),B))) ),
    inference(fof_nnf,[status(thm)],[fact_365_curryI]) ).

fof(f_507_2,plain,
    ! [U_2931,U_2930,U_2929] :
      ( hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(produc2053127004l_bool(U_2931),U_2930),U_2929))
      | ~ hBOOL(hAPP_P1333315679l_bool(U_2931,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_2930),U_2929))) ),
    inference(variable_rename,[status(thm)],[f_507_1]) ).

cnf(f_507_3,plain,
    ( hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(produc2053127004l_bool(U_2931),U_2930),U_2929))
    | ~ hBOOL(hAPP_P1333315679l_bool(U_2931,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_2930),U_2929))) ),
    inference(clausify,[status(thm)],[f_507_2]) ).

fof(f_508_1,plain,
    ! [F_1,A,B] :
      ( hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(produc886919678l_bool(F_1),A),B))
      | ~ hBOOL(hAPP_P929938951l_bool(F_1,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A),B))) ),
    inference(fof_nnf,[status(thm)],[fact_366_curryI]) ).

fof(f_508_2,plain,
    ! [U_2934,U_2933,U_2932] :
      ( hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(produc886919678l_bool(U_2934),U_2933),U_2932))
      | ~ hBOOL(hAPP_P929938951l_bool(U_2934,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_2933),U_2932))) ),
    inference(variable_rename,[status(thm)],[f_508_1]) ).

cnf(f_508_3,plain,
    ( hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(produc886919678l_bool(U_2934),U_2933),U_2932))
    | ~ hBOOL(hAPP_P929938951l_bool(U_2934,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_2933),U_2932))) ),
    inference(clausify,[status(thm)],[f_508_2]) ).

fof(f_509_1,plain,
    ! [F_1,A,B] :
      ( hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(produc1555310053l_bool(F_1),A),B))
      | ~ hBOOL(hAPP_P943837928l_bool(F_1,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,A),B))) ),
    inference(fof_nnf,[status(thm)],[fact_367_curryI]) ).

fof(f_509_2,plain,
    ! [U_2937,U_2936,U_2935] :
      ( hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(produc1555310053l_bool(U_2937),U_2936),U_2935))
      | ~ hBOOL(hAPP_P943837928l_bool(U_2937,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_2936),U_2935))) ),
    inference(variable_rename,[status(thm)],[f_509_1]) ).

cnf(f_509_3,plain,
    ( hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(produc1555310053l_bool(U_2937),U_2936),U_2935))
    | ~ hBOOL(hAPP_P943837928l_bool(U_2937,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_2936),U_2935))) ),
    inference(clausify,[status(thm)],[f_509_2]) ).

fof(f_510_1,plain,
    ! [F_1,A,B] :
      ( hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(produc95371820r_bool(F_1),A),B))
      | ~ hBOOL(hAPP_P449474095r_bool(F_1,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A),B))) ),
    inference(fof_nnf,[status(thm)],[fact_368_curryI]) ).

fof(f_510_2,plain,
    ! [U_2940,U_2939,U_2938] :
      ( hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(produc95371820r_bool(U_2940),U_2939),U_2938))
      | ~ hBOOL(hAPP_P449474095r_bool(U_2940,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_2939),U_2938))) ),
    inference(variable_rename,[status(thm)],[f_510_1]) ).

cnf(f_510_3,plain,
    ( hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(produc95371820r_bool(U_2940),U_2939),U_2938))
    | ~ hBOOL(hAPP_P449474095r_bool(U_2940,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_2939),U_2938))) ),
    inference(clausify,[status(thm)],[f_510_2]) ).

fof(f_511_1,plain,
    ! [F_1,A,B] :
      ( hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(produc481748255l_bool(F_1),A),B))
      | ~ hBOOL(hAPP_P1235399154l_bool(F_1,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,A),B))) ),
    inference(fof_nnf,[status(thm)],[fact_369_curryI]) ).

fof(f_511_2,plain,
    ! [U_2943,U_2942,U_2941] :
      ( hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(produc481748255l_bool(U_2943),U_2942),U_2941))
      | ~ hBOOL(hAPP_P1235399154l_bool(U_2943,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_2942),U_2941))) ),
    inference(variable_rename,[status(thm)],[f_511_1]) ).

cnf(f_511_3,plain,
    ( hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(produc481748255l_bool(U_2943),U_2942),U_2941))
    | ~ hBOOL(hAPP_P1235399154l_bool(U_2943,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_2942),U_2941))) ),
    inference(clausify,[status(thm)],[f_511_2]) ).

fof(f_512_1,plain,
    ! [F_1,A,B] :
      ( hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(produc2062775566l_bool(F_1),A),B))
      | ~ hBOOL(hAPP_P159683425l_bool(F_1,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A),B))) ),
    inference(fof_nnf,[status(thm)],[fact_370_curryI]) ).

fof(f_512_2,plain,
    ! [U_2946,U_2945,U_2944] :
      ( hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(produc2062775566l_bool(U_2946),U_2945),U_2944))
      | ~ hBOOL(hAPP_P159683425l_bool(U_2946,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_2945),U_2944))) ),
    inference(variable_rename,[status(thm)],[f_512_1]) ).

cnf(f_512_3,plain,
    ( hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(produc2062775566l_bool(U_2946),U_2945),U_2944))
    | ~ hBOOL(hAPP_P159683425l_bool(U_2946,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_2945),U_2944))) ),
    inference(clausify,[status(thm)],[f_512_2]) ).

fof(f_513_1,plain,
    ! [F_1,A,B] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(produc1911975310l_bool(F_1),A),B))
      | ~ hBOOL(hAPP_P1708370145l_bool(F_1,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A),B))) ),
    inference(fof_nnf,[status(thm)],[fact_371_curryI]) ).

fof(f_513_2,plain,
    ! [U_2949,U_2948,U_2947] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(produc1911975310l_bool(U_2949),U_2948),U_2947))
      | ~ hBOOL(hAPP_P1708370145l_bool(U_2949,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_2948),U_2947))) ),
    inference(variable_rename,[status(thm)],[f_513_1]) ).

cnf(f_513_3,plain,
    ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(produc1911975310l_bool(U_2949),U_2948),U_2947))
    | ~ hBOOL(hAPP_P1708370145l_bool(U_2949,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_2948),U_2947))) ),
    inference(clausify,[status(thm)],[f_513_2]) ).

fof(f_514_1,plain,
    ! [F_1,A,B] :
      ( hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(produc1159035454l_bool(F_1),A),B))
      | ~ hBOOL(hAPP_P282169671l_bool(F_1,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A),B))) ),
    inference(fof_nnf,[status(thm)],[fact_372_curryI]) ).

fof(f_514_2,plain,
    ! [U_2952,U_2951,U_2950] :
      ( hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(produc1159035454l_bool(U_2952),U_2951),U_2950))
      | ~ hBOOL(hAPP_P282169671l_bool(U_2952,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_2951),U_2950))) ),
    inference(variable_rename,[status(thm)],[f_514_1]) ).

cnf(f_514_3,plain,
    ( hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(produc1159035454l_bool(U_2952),U_2951),U_2950))
    | ~ hBOOL(hAPP_P282169671l_bool(U_2952,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_2951),U_2950))) ),
    inference(clausify,[status(thm)],[f_514_2]) ).

fof(f_515_1,plain,
    ! [L_0,Eb,Hb,Lb,E_b,H_b,L_b,Pa] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),map_ad325961431ar_val(L_0,Lb)))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),map_ad325961431ar_val(L_0,L_b))))),red(Pa)))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),L_b)))),red(Pa))) ),
    inference(fof_nnf,[status(thm)],[fact_373_red__lcl__add]) ).

fof(f_515_2,plain,
    ! [U_2960,U_2959,U_2958,U_2957,U_2956,U_2955,U_2954,U_2953] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_2959),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_2958),map_ad325961431ar_val(U_2960,U_2957)))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_2956),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_2955),map_ad325961431ar_val(U_2960,U_2954))))),red(U_2953)))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_2959),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_2958),U_2957))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_2956),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_2955),U_2954)))),red(U_2953))) ),
    inference(variable_rename,[status(thm)],[f_515_1]) ).

cnf(f_515_3,plain,
    ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_2959),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_2958),map_ad325961431ar_val(U_2960,U_2957)))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_2956),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_2955),map_ad325961431ar_val(U_2960,U_2954))))),red(U_2953)))
    | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_2959),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_2958),U_2957))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_2956),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_2955),U_2954)))),red(U_2953))) ),
    inference(clausify,[status(thm)],[f_515_2]) ).

fof(f_516_1,plain,
    ! [Va_1,Va,Ta,Pa,Hb,Lb,Ea] :
      ( hBOOL(hAPP_f1001225811y_bool(hAPP_f2060496320y_bool(hAPP_f1213370163y_bool(lconf_496643946t_char(Pa),Hb),fun_up1149430426on_val(Lb,Va_1,hAPP_val_option_val(some_val,Va))),Ea))
      | hAPP_l512744617ion_ty(Ea,Va_1) != hAPP_ty_option_ty(some_ty,Ta)
      | ~ hBOOL(conf_P373316194t_char(Pa,Hb,Va,Ta))
      | ~ hBOOL(hAPP_f1001225811y_bool(hAPP_f2060496320y_bool(hAPP_f1213370163y_bool(lconf_496643946t_char(Pa),Hb),Lb),Ea)) ),
    inference(fof_nnf,[status(thm)],[fact_374_lconf__upd]) ).

fof(f_516_2,plain,
    ! [U_2967,U_2966,U_2965,U_2964,U_2963,U_2962,U_2961] :
      ( hBOOL(hAPP_f1001225811y_bool(hAPP_f2060496320y_bool(hAPP_f1213370163y_bool(lconf_496643946t_char(U_2964),U_2963),fun_up1149430426on_val(U_2962,U_2967,hAPP_val_option_val(some_val,U_2966))),U_2961))
      | hAPP_l512744617ion_ty(U_2961,U_2967) != hAPP_ty_option_ty(some_ty,U_2965)
      | ~ hBOOL(conf_P373316194t_char(U_2964,U_2963,U_2966,U_2965))
      | ~ hBOOL(hAPP_f1001225811y_bool(hAPP_f2060496320y_bool(hAPP_f1213370163y_bool(lconf_496643946t_char(U_2964),U_2963),U_2962),U_2961)) ),
    inference(variable_rename,[status(thm)],[f_516_1]) ).

cnf(f_516_3,plain,
    ( hBOOL(hAPP_f1001225811y_bool(hAPP_f2060496320y_bool(hAPP_f1213370163y_bool(lconf_496643946t_char(U_2964),U_2963),fun_up1149430426on_val(U_2962,U_2967,hAPP_val_option_val(some_val,U_2966))),U_2961))
    | hAPP_l512744617ion_ty(U_2961,U_2967) != hAPP_ty_option_ty(some_ty,U_2965)
    | ~ hBOOL(conf_P373316194t_char(U_2964,U_2963,U_2966,U_2965))
    | ~ hBOOL(hAPP_f1001225811y_bool(hAPP_f2060496320y_bool(hAPP_f1213370163y_bool(lconf_496643946t_char(U_2964),U_2963),U_2962),U_2961)) ),
    inference(clausify,[status(thm)],[f_516_2]) ).

fof(f_517_1,plain,
    ! [Va_1,Va,Ta,Pa,Hb,Lb,Ea] :
      ( hBOOL(hAPP_f1001225811y_bool(hAPP_f2060496320y_bool(hAPP_f1213370163y_bool(lconf_496643946t_char(Pa),Hb),fun_up1149430426on_val(Lb,Va_1,hAPP_val_option_val(some_val,Va))),fun_up424764369ion_ty(Ea,Va_1,hAPP_ty_option_ty(some_ty,Ta))))
      | ~ hBOOL(conf_P373316194t_char(Pa,Hb,Va,Ta))
      | ~ hBOOL(hAPP_f1001225811y_bool(hAPP_f2060496320y_bool(hAPP_f1213370163y_bool(lconf_496643946t_char(Pa),Hb),Lb),Ea)) ),
    inference(fof_nnf,[status(thm)],[fact_375_lconf__upd2]) ).

fof(f_517_2,plain,
    ! [U_2974,U_2973,U_2972,U_2971,U_2970,U_2969,U_2968] :
      ( hBOOL(hAPP_f1001225811y_bool(hAPP_f2060496320y_bool(hAPP_f1213370163y_bool(lconf_496643946t_char(U_2971),U_2970),fun_up1149430426on_val(U_2969,U_2974,hAPP_val_option_val(some_val,U_2973))),fun_up424764369ion_ty(U_2968,U_2974,hAPP_ty_option_ty(some_ty,U_2972))))
      | ~ hBOOL(conf_P373316194t_char(U_2971,U_2970,U_2973,U_2972))
      | ~ hBOOL(hAPP_f1001225811y_bool(hAPP_f2060496320y_bool(hAPP_f1213370163y_bool(lconf_496643946t_char(U_2971),U_2970),U_2969),U_2968)) ),
    inference(variable_rename,[status(thm)],[f_517_1]) ).

cnf(f_517_3,plain,
    ( hBOOL(hAPP_f1001225811y_bool(hAPP_f2060496320y_bool(hAPP_f1213370163y_bool(lconf_496643946t_char(U_2971),U_2970),fun_up1149430426on_val(U_2969,U_2974,hAPP_val_option_val(some_val,U_2973))),fun_up424764369ion_ty(U_2968,U_2974,hAPP_ty_option_ty(some_ty,U_2972))))
    | ~ hBOOL(conf_P373316194t_char(U_2971,U_2970,U_2973,U_2972))
    | ~ hBOOL(hAPP_f1001225811y_bool(hAPP_f2060496320y_bool(hAPP_f1213370163y_bool(lconf_496643946t_char(U_2971),U_2970),U_2969),U_2968)) ),
    inference(clausify,[status(thm)],[f_517_2]) ).

fof(f_518_1,plain,
    ! [A,B,A_3,B_3,R_1,S] :
      ( ( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,A),B)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,A_3),B_3))),lex_pr1541028704on_val(R_1,S)))
        | ( ( ~ hBOOL(hAPP_f1297673713l_bool(hAPP_P240409993l_bool(member563141460on_val,hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,B),B_3)),S))
            | A != A_3 )
          & ~ hBOOL(hAPP_f1734260017l_bool(hAPP_P53416969l_bool(member894971540t_char,hAPP_l1648260346t_char(hAPP_l1105836155t_char(produc1237966615t_char,A),A_3)),R_1)) ) )
      & ( ( hBOOL(hAPP_f1297673713l_bool(hAPP_P240409993l_bool(member563141460on_val,hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,B),B_3)),S))
          & A = A_3 )
        | hBOOL(hAPP_f1734260017l_bool(hAPP_P53416969l_bool(member894971540t_char,hAPP_l1648260346t_char(hAPP_l1105836155t_char(produc1237966615t_char,A),A_3)),R_1))
        | ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,A),B)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,A_3),B_3))),lex_pr1541028704on_val(R_1,S))) ) ),
    inference(fof_nnf,[status(thm)],[fact_376_in__lex__prod]) ).

fof(f_518_2,plain,
    ! [U_2980,U_2979,U_2978,U_2977,U_2976,U_2975] :
      ( ( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_2980),U_2979)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_2978),U_2977))),lex_pr1541028704on_val(U_2976,U_2975)))
        | ( ( ~ hBOOL(hAPP_f1297673713l_bool(hAPP_P240409993l_bool(member563141460on_val,hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,U_2979),U_2977)),U_2975))
            | U_2980 != U_2978 )
          & ~ hBOOL(hAPP_f1734260017l_bool(hAPP_P53416969l_bool(member894971540t_char,hAPP_l1648260346t_char(hAPP_l1105836155t_char(produc1237966615t_char,U_2980),U_2978)),U_2976)) ) )
      & ( ( hBOOL(hAPP_f1297673713l_bool(hAPP_P240409993l_bool(member563141460on_val,hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,U_2979),U_2977)),U_2975))
          & U_2980 = U_2978 )
        | hBOOL(hAPP_f1734260017l_bool(hAPP_P53416969l_bool(member894971540t_char,hAPP_l1648260346t_char(hAPP_l1105836155t_char(produc1237966615t_char,U_2980),U_2978)),U_2976))
        | ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_2980),U_2979)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_2978),U_2977))),lex_pr1541028704on_val(U_2976,U_2975))) ) ),
    inference(variable_rename,[status(thm)],[f_518_1]) ).

fof(f_518_3,plain,
    ( ! [U_2992,U_2990,U_2988,U_2986,U_2984,U_2982] :
        ( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_2992),U_2990)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_2988),U_2986))),lex_pr1541028704on_val(U_2984,U_2982)))
        | ( ( ~ hBOOL(hAPP_f1297673713l_bool(hAPP_P240409993l_bool(member563141460on_val,hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,U_2990),U_2986)),U_2982))
            | U_2992 != U_2988 )
          & ~ hBOOL(hAPP_f1734260017l_bool(hAPP_P53416969l_bool(member894971540t_char,hAPP_l1648260346t_char(hAPP_l1105836155t_char(produc1237966615t_char,U_2992),U_2988)),U_2984)) ) )
    & ! [U_2991,U_2989,U_2987,U_2985,U_2983,U_2981] :
        ( ( hBOOL(hAPP_f1297673713l_bool(hAPP_P240409993l_bool(member563141460on_val,hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,U_2989),U_2985)),U_2981))
          & U_2991 = U_2987 )
        | hBOOL(hAPP_f1734260017l_bool(hAPP_P53416969l_bool(member894971540t_char,hAPP_l1648260346t_char(hAPP_l1105836155t_char(produc1237966615t_char,U_2991),U_2987)),U_2983))
        | ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_2991),U_2989)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_2987),U_2985))),lex_pr1541028704on_val(U_2983,U_2981))) ) ),
    inference(miniscope,[status(thm)],[f_518_2]) ).

cnf(f_518_4,plain,
    ( U_2991 = U_2987
    | hBOOL(hAPP_f1734260017l_bool(hAPP_P53416969l_bool(member894971540t_char,hAPP_l1648260346t_char(hAPP_l1105836155t_char(produc1237966615t_char,U_2991),U_2987)),U_2983))
    | ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_2991),U_2989)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_2987),U_2985))),lex_pr1541028704on_val(U_2983,U_2981))) ),
    inference(clausify,[status(thm)],[f_518_3]) ).

cnf(f_518_5,plain,
    ( hBOOL(hAPP_f1297673713l_bool(hAPP_P240409993l_bool(member563141460on_val,hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,U_2989),U_2985)),U_2981))
    | hBOOL(hAPP_f1734260017l_bool(hAPP_P53416969l_bool(member894971540t_char,hAPP_l1648260346t_char(hAPP_l1105836155t_char(produc1237966615t_char,U_2991),U_2987)),U_2983))
    | ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_2991),U_2989)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_2987),U_2985))),lex_pr1541028704on_val(U_2983,U_2981))) ),
    inference(clausify,[status(thm)],[f_518_3]) ).

cnf(f_518_6,plain,
    ( ~ hBOOL(hAPP_f1734260017l_bool(hAPP_P53416969l_bool(member894971540t_char,hAPP_l1648260346t_char(hAPP_l1105836155t_char(produc1237966615t_char,U_2992),U_2988)),U_2984))
    | hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_2992),U_2990)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_2988),U_2986))),lex_pr1541028704on_val(U_2984,U_2982))) ),
    inference(clausify,[status(thm)],[f_518_3]) ).

cnf(f_518_7,plain,
    ( ~ hBOOL(hAPP_f1297673713l_bool(hAPP_P240409993l_bool(member563141460on_val,hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,U_2990),U_2986)),U_2982))
    | U_2992 != U_2988
    | hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_2992),U_2990)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_2988),U_2986))),lex_pr1541028704on_val(U_2984,U_2982))) ),
    inference(clausify,[status(thm)],[f_518_3]) ).

fof(f_519_1,plain,
    ! [A,B,A_3,B_3,R_1,S] :
      ( ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A),B)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A_3),B_3))),lex_pr69619957on_val(R_1,S)))
        | ( ( ~ hBOOL(hAPP_f1297673713l_bool(hAPP_P240409993l_bool(member563141460on_val,hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,B),B_3)),S))
            | A != A_3 )
          & ~ hBOOL(hAPP_f588675559l_bool(hAPP_P1860450421l_bool(member1199939018t_char,hAPP_e817857447t_char(hAPP_e1376201919t_char(produc943465171t_char,A),A_3)),R_1)) ) )
      & ( ( hBOOL(hAPP_f1297673713l_bool(hAPP_P240409993l_bool(member563141460on_val,hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,B),B_3)),S))
          & A = A_3 )
        | hBOOL(hAPP_f588675559l_bool(hAPP_P1860450421l_bool(member1199939018t_char,hAPP_e817857447t_char(hAPP_e1376201919t_char(produc943465171t_char,A),A_3)),R_1))
        | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A),B)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A_3),B_3))),lex_pr69619957on_val(R_1,S))) ) ),
    inference(fof_nnf,[status(thm)],[fact_377_in__lex__prod]) ).

fof(f_519_2,plain,
    ! [U_2998,U_2997,U_2996,U_2995,U_2994,U_2993] :
      ( ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_2998),U_2997)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_2996),U_2995))),lex_pr69619957on_val(U_2994,U_2993)))
        | ( ( ~ hBOOL(hAPP_f1297673713l_bool(hAPP_P240409993l_bool(member563141460on_val,hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,U_2997),U_2995)),U_2993))
            | U_2998 != U_2996 )
          & ~ hBOOL(hAPP_f588675559l_bool(hAPP_P1860450421l_bool(member1199939018t_char,hAPP_e817857447t_char(hAPP_e1376201919t_char(produc943465171t_char,U_2998),U_2996)),U_2994)) ) )
      & ( ( hBOOL(hAPP_f1297673713l_bool(hAPP_P240409993l_bool(member563141460on_val,hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,U_2997),U_2995)),U_2993))
          & U_2998 = U_2996 )
        | hBOOL(hAPP_f588675559l_bool(hAPP_P1860450421l_bool(member1199939018t_char,hAPP_e817857447t_char(hAPP_e1376201919t_char(produc943465171t_char,U_2998),U_2996)),U_2994))
        | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_2998),U_2997)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_2996),U_2995))),lex_pr69619957on_val(U_2994,U_2993))) ) ),
    inference(variable_rename,[status(thm)],[f_519_1]) ).

fof(f_519_3,plain,
    ( ! [U_3010,U_3008,U_3006,U_3004,U_3002,U_3000] :
        ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_3010),U_3008)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_3006),U_3004))),lex_pr69619957on_val(U_3002,U_3000)))
        | ( ( ~ hBOOL(hAPP_f1297673713l_bool(hAPP_P240409993l_bool(member563141460on_val,hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,U_3008),U_3004)),U_3000))
            | U_3010 != U_3006 )
          & ~ hBOOL(hAPP_f588675559l_bool(hAPP_P1860450421l_bool(member1199939018t_char,hAPP_e817857447t_char(hAPP_e1376201919t_char(produc943465171t_char,U_3010),U_3006)),U_3002)) ) )
    & ! [U_3009,U_3007,U_3005,U_3003,U_3001,U_2999] :
        ( ( hBOOL(hAPP_f1297673713l_bool(hAPP_P240409993l_bool(member563141460on_val,hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,U_3007),U_3003)),U_2999))
          & U_3009 = U_3005 )
        | hBOOL(hAPP_f588675559l_bool(hAPP_P1860450421l_bool(member1199939018t_char,hAPP_e817857447t_char(hAPP_e1376201919t_char(produc943465171t_char,U_3009),U_3005)),U_3001))
        | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_3009),U_3007)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_3005),U_3003))),lex_pr69619957on_val(U_3001,U_2999))) ) ),
    inference(miniscope,[status(thm)],[f_519_2]) ).

cnf(f_519_4,plain,
    ( U_3009 = U_3005
    | hBOOL(hAPP_f588675559l_bool(hAPP_P1860450421l_bool(member1199939018t_char,hAPP_e817857447t_char(hAPP_e1376201919t_char(produc943465171t_char,U_3009),U_3005)),U_3001))
    | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_3009),U_3007)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_3005),U_3003))),lex_pr69619957on_val(U_3001,U_2999))) ),
    inference(clausify,[status(thm)],[f_519_3]) ).

cnf(f_519_5,plain,
    ( hBOOL(hAPP_f1297673713l_bool(hAPP_P240409993l_bool(member563141460on_val,hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,U_3007),U_3003)),U_2999))
    | hBOOL(hAPP_f588675559l_bool(hAPP_P1860450421l_bool(member1199939018t_char,hAPP_e817857447t_char(hAPP_e1376201919t_char(produc943465171t_char,U_3009),U_3005)),U_3001))
    | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_3009),U_3007)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_3005),U_3003))),lex_pr69619957on_val(U_3001,U_2999))) ),
    inference(clausify,[status(thm)],[f_519_3]) ).

cnf(f_519_6,plain,
    ( ~ hBOOL(hAPP_f588675559l_bool(hAPP_P1860450421l_bool(member1199939018t_char,hAPP_e817857447t_char(hAPP_e1376201919t_char(produc943465171t_char,U_3010),U_3006)),U_3002))
    | hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_3010),U_3008)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_3006),U_3004))),lex_pr69619957on_val(U_3002,U_3000))) ),
    inference(clausify,[status(thm)],[f_519_3]) ).

cnf(f_519_7,plain,
    ( ~ hBOOL(hAPP_f1297673713l_bool(hAPP_P240409993l_bool(member563141460on_val,hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,U_3008),U_3004)),U_3000))
    | U_3010 != U_3006
    | hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_3010),U_3008)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_3006),U_3004))),lex_pr69619957on_val(U_3002,U_3000))) ),
    inference(clausify,[status(thm)],[f_519_3]) ).

fof(f_520_1,plain,
    ! [A,B,A_3,B_3,R_1,S] :
      ( ( hBOOL(hAPP_f595031537l_bool(hAPP_P1862681481l_bool(member1999287380t_char,hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,A),B)),hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,A_3),B_3))),lex_pr1787105337t_char(R_1,S)))
        | ( ( ~ hBOOL(hAPP_f588675559l_bool(hAPP_P1860450421l_bool(member1199939018t_char,hAPP_e817857447t_char(hAPP_e1376201919t_char(produc943465171t_char,B),B_3)),S))
            | A != A_3 )
          & ~ hBOOL(hAPP_f479632753l_bool(hAPP_P153687689l_bool(member817832404t_char,hAPP_l1883348915t_char(hAPP_l2019537453t_char(produc2035944023t_char,A),A_3)),R_1)) ) )
      & ( ( hBOOL(hAPP_f588675559l_bool(hAPP_P1860450421l_bool(member1199939018t_char,hAPP_e817857447t_char(hAPP_e1376201919t_char(produc943465171t_char,B),B_3)),S))
          & A = A_3 )
        | hBOOL(hAPP_f479632753l_bool(hAPP_P153687689l_bool(member817832404t_char,hAPP_l1883348915t_char(hAPP_l2019537453t_char(produc2035944023t_char,A),A_3)),R_1))
        | ~ hBOOL(hAPP_f595031537l_bool(hAPP_P1862681481l_bool(member1999287380t_char,hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,A),B)),hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,A_3),B_3))),lex_pr1787105337t_char(R_1,S))) ) ),
    inference(fof_nnf,[status(thm)],[fact_378_in__lex__prod]) ).

fof(f_520_2,plain,
    ! [U_3016,U_3015,U_3014,U_3013,U_3012,U_3011] :
      ( ( hBOOL(hAPP_f595031537l_bool(hAPP_P1862681481l_bool(member1999287380t_char,hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_3016),U_3015)),hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_3014),U_3013))),lex_pr1787105337t_char(U_3012,U_3011)))
        | ( ( ~ hBOOL(hAPP_f588675559l_bool(hAPP_P1860450421l_bool(member1199939018t_char,hAPP_e817857447t_char(hAPP_e1376201919t_char(produc943465171t_char,U_3015),U_3013)),U_3011))
            | U_3016 != U_3014 )
          & ~ hBOOL(hAPP_f479632753l_bool(hAPP_P153687689l_bool(member817832404t_char,hAPP_l1883348915t_char(hAPP_l2019537453t_char(produc2035944023t_char,U_3016),U_3014)),U_3012)) ) )
      & ( ( hBOOL(hAPP_f588675559l_bool(hAPP_P1860450421l_bool(member1199939018t_char,hAPP_e817857447t_char(hAPP_e1376201919t_char(produc943465171t_char,U_3015),U_3013)),U_3011))
          & U_3016 = U_3014 )
        | hBOOL(hAPP_f479632753l_bool(hAPP_P153687689l_bool(member817832404t_char,hAPP_l1883348915t_char(hAPP_l2019537453t_char(produc2035944023t_char,U_3016),U_3014)),U_3012))
        | ~ hBOOL(hAPP_f595031537l_bool(hAPP_P1862681481l_bool(member1999287380t_char,hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_3016),U_3015)),hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_3014),U_3013))),lex_pr1787105337t_char(U_3012,U_3011))) ) ),
    inference(variable_rename,[status(thm)],[f_520_1]) ).

fof(f_520_3,plain,
    ( ! [U_3028,U_3026,U_3024,U_3022,U_3020,U_3018] :
        ( hBOOL(hAPP_f595031537l_bool(hAPP_P1862681481l_bool(member1999287380t_char,hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_3028),U_3026)),hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_3024),U_3022))),lex_pr1787105337t_char(U_3020,U_3018)))
        | ( ( ~ hBOOL(hAPP_f588675559l_bool(hAPP_P1860450421l_bool(member1199939018t_char,hAPP_e817857447t_char(hAPP_e1376201919t_char(produc943465171t_char,U_3026),U_3022)),U_3018))
            | U_3028 != U_3024 )
          & ~ hBOOL(hAPP_f479632753l_bool(hAPP_P153687689l_bool(member817832404t_char,hAPP_l1883348915t_char(hAPP_l2019537453t_char(produc2035944023t_char,U_3028),U_3024)),U_3020)) ) )
    & ! [U_3027,U_3025,U_3023,U_3021,U_3019,U_3017] :
        ( ( hBOOL(hAPP_f588675559l_bool(hAPP_P1860450421l_bool(member1199939018t_char,hAPP_e817857447t_char(hAPP_e1376201919t_char(produc943465171t_char,U_3025),U_3021)),U_3017))
          & U_3027 = U_3023 )
        | hBOOL(hAPP_f479632753l_bool(hAPP_P153687689l_bool(member817832404t_char,hAPP_l1883348915t_char(hAPP_l2019537453t_char(produc2035944023t_char,U_3027),U_3023)),U_3019))
        | ~ hBOOL(hAPP_f595031537l_bool(hAPP_P1862681481l_bool(member1999287380t_char,hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_3027),U_3025)),hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_3023),U_3021))),lex_pr1787105337t_char(U_3019,U_3017))) ) ),
    inference(miniscope,[status(thm)],[f_520_2]) ).

cnf(f_520_4,plain,
    ( U_3027 = U_3023
    | hBOOL(hAPP_f479632753l_bool(hAPP_P153687689l_bool(member817832404t_char,hAPP_l1883348915t_char(hAPP_l2019537453t_char(produc2035944023t_char,U_3027),U_3023)),U_3019))
    | ~ hBOOL(hAPP_f595031537l_bool(hAPP_P1862681481l_bool(member1999287380t_char,hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_3027),U_3025)),hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_3023),U_3021))),lex_pr1787105337t_char(U_3019,U_3017))) ),
    inference(clausify,[status(thm)],[f_520_3]) ).

cnf(f_520_5,plain,
    ( hBOOL(hAPP_f588675559l_bool(hAPP_P1860450421l_bool(member1199939018t_char,hAPP_e817857447t_char(hAPP_e1376201919t_char(produc943465171t_char,U_3025),U_3021)),U_3017))
    | hBOOL(hAPP_f479632753l_bool(hAPP_P153687689l_bool(member817832404t_char,hAPP_l1883348915t_char(hAPP_l2019537453t_char(produc2035944023t_char,U_3027),U_3023)),U_3019))
    | ~ hBOOL(hAPP_f595031537l_bool(hAPP_P1862681481l_bool(member1999287380t_char,hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_3027),U_3025)),hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_3023),U_3021))),lex_pr1787105337t_char(U_3019,U_3017))) ),
    inference(clausify,[status(thm)],[f_520_3]) ).

cnf(f_520_6,plain,
    ( ~ hBOOL(hAPP_f479632753l_bool(hAPP_P153687689l_bool(member817832404t_char,hAPP_l1883348915t_char(hAPP_l2019537453t_char(produc2035944023t_char,U_3028),U_3024)),U_3020))
    | hBOOL(hAPP_f595031537l_bool(hAPP_P1862681481l_bool(member1999287380t_char,hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_3028),U_3026)),hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_3024),U_3022))),lex_pr1787105337t_char(U_3020,U_3018))) ),
    inference(clausify,[status(thm)],[f_520_3]) ).

cnf(f_520_7,plain,
    ( ~ hBOOL(hAPP_f588675559l_bool(hAPP_P1860450421l_bool(member1199939018t_char,hAPP_e817857447t_char(hAPP_e1376201919t_char(produc943465171t_char,U_3026),U_3022)),U_3018))
    | U_3028 != U_3024
    | hBOOL(hAPP_f595031537l_bool(hAPP_P1862681481l_bool(member1999287380t_char,hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_3028),U_3026)),hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_3024),U_3022))),lex_pr1787105337t_char(U_3020,U_3018))) ),
    inference(clausify,[status(thm)],[f_520_3]) ).

fof(f_521_1,plain,
    ! [A,B,A_3,B_3,R_1,S] :
      ( ( hBOOL(hAPP_f126445617l_bool(hAPP_P1313790473l_bool(member1551446420t_char,hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,A),B)),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,A_3),B_3))),lex_pr213428520t_char(R_1,S)))
        | ( ( ~ hBOOL(hAPP_f1748390065l_bool(hAPP_P1503283977l_bool(member1580476948t_char,hAPP_l1334098948t_char(hAPP_l1450984463t_char(produc436875159t_char,B),B_3)),S))
            | A != A_3 )
          & ~ hBOOL(hAPP_f288221747l_bool(hAPP_P569585933l_bool(member520253462har_ty,hAPP_l1294856089har_ty(hAPP_l1657578379har_ty(produc1860789535har_ty,A),A_3)),R_1)) ) )
      & ( ( hBOOL(hAPP_f1748390065l_bool(hAPP_P1503283977l_bool(member1580476948t_char,hAPP_l1334098948t_char(hAPP_l1450984463t_char(produc436875159t_char,B),B_3)),S))
          & A = A_3 )
        | hBOOL(hAPP_f288221747l_bool(hAPP_P569585933l_bool(member520253462har_ty,hAPP_l1294856089har_ty(hAPP_l1657578379har_ty(produc1860789535har_ty,A),A_3)),R_1))
        | ~ hBOOL(hAPP_f126445617l_bool(hAPP_P1313790473l_bool(member1551446420t_char,hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,A),B)),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,A_3),B_3))),lex_pr213428520t_char(R_1,S))) ) ),
    inference(fof_nnf,[status(thm)],[fact_379_in__lex__prod]) ).

fof(f_521_2,plain,
    ! [U_3034,U_3033,U_3032,U_3031,U_3030,U_3029] :
      ( ( hBOOL(hAPP_f126445617l_bool(hAPP_P1313790473l_bool(member1551446420t_char,hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_3034),U_3033)),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_3032),U_3031))),lex_pr213428520t_char(U_3030,U_3029)))
        | ( ( ~ hBOOL(hAPP_f1748390065l_bool(hAPP_P1503283977l_bool(member1580476948t_char,hAPP_l1334098948t_char(hAPP_l1450984463t_char(produc436875159t_char,U_3033),U_3031)),U_3029))
            | U_3034 != U_3032 )
          & ~ hBOOL(hAPP_f288221747l_bool(hAPP_P569585933l_bool(member520253462har_ty,hAPP_l1294856089har_ty(hAPP_l1657578379har_ty(produc1860789535har_ty,U_3034),U_3032)),U_3030)) ) )
      & ( ( hBOOL(hAPP_f1748390065l_bool(hAPP_P1503283977l_bool(member1580476948t_char,hAPP_l1334098948t_char(hAPP_l1450984463t_char(produc436875159t_char,U_3033),U_3031)),U_3029))
          & U_3034 = U_3032 )
        | hBOOL(hAPP_f288221747l_bool(hAPP_P569585933l_bool(member520253462har_ty,hAPP_l1294856089har_ty(hAPP_l1657578379har_ty(produc1860789535har_ty,U_3034),U_3032)),U_3030))
        | ~ hBOOL(hAPP_f126445617l_bool(hAPP_P1313790473l_bool(member1551446420t_char,hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_3034),U_3033)),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_3032),U_3031))),lex_pr213428520t_char(U_3030,U_3029))) ) ),
    inference(variable_rename,[status(thm)],[f_521_1]) ).

fof(f_521_3,plain,
    ( ! [U_3046,U_3044,U_3042,U_3040,U_3038,U_3036] :
        ( hBOOL(hAPP_f126445617l_bool(hAPP_P1313790473l_bool(member1551446420t_char,hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_3046),U_3044)),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_3042),U_3040))),lex_pr213428520t_char(U_3038,U_3036)))
        | ( ( ~ hBOOL(hAPP_f1748390065l_bool(hAPP_P1503283977l_bool(member1580476948t_char,hAPP_l1334098948t_char(hAPP_l1450984463t_char(produc436875159t_char,U_3044),U_3040)),U_3036))
            | U_3046 != U_3042 )
          & ~ hBOOL(hAPP_f288221747l_bool(hAPP_P569585933l_bool(member520253462har_ty,hAPP_l1294856089har_ty(hAPP_l1657578379har_ty(produc1860789535har_ty,U_3046),U_3042)),U_3038)) ) )
    & ! [U_3045,U_3043,U_3041,U_3039,U_3037,U_3035] :
        ( ( hBOOL(hAPP_f1748390065l_bool(hAPP_P1503283977l_bool(member1580476948t_char,hAPP_l1334098948t_char(hAPP_l1450984463t_char(produc436875159t_char,U_3043),U_3039)),U_3035))
          & U_3045 = U_3041 )
        | hBOOL(hAPP_f288221747l_bool(hAPP_P569585933l_bool(member520253462har_ty,hAPP_l1294856089har_ty(hAPP_l1657578379har_ty(produc1860789535har_ty,U_3045),U_3041)),U_3037))
        | ~ hBOOL(hAPP_f126445617l_bool(hAPP_P1313790473l_bool(member1551446420t_char,hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_3045),U_3043)),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_3041),U_3039))),lex_pr213428520t_char(U_3037,U_3035))) ) ),
    inference(miniscope,[status(thm)],[f_521_2]) ).

cnf(f_521_4,plain,
    ( U_3045 = U_3041
    | hBOOL(hAPP_f288221747l_bool(hAPP_P569585933l_bool(member520253462har_ty,hAPP_l1294856089har_ty(hAPP_l1657578379har_ty(produc1860789535har_ty,U_3045),U_3041)),U_3037))
    | ~ hBOOL(hAPP_f126445617l_bool(hAPP_P1313790473l_bool(member1551446420t_char,hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_3045),U_3043)),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_3041),U_3039))),lex_pr213428520t_char(U_3037,U_3035))) ),
    inference(clausify,[status(thm)],[f_521_3]) ).

cnf(f_521_5,plain,
    ( hBOOL(hAPP_f1748390065l_bool(hAPP_P1503283977l_bool(member1580476948t_char,hAPP_l1334098948t_char(hAPP_l1450984463t_char(produc436875159t_char,U_3043),U_3039)),U_3035))
    | hBOOL(hAPP_f288221747l_bool(hAPP_P569585933l_bool(member520253462har_ty,hAPP_l1294856089har_ty(hAPP_l1657578379har_ty(produc1860789535har_ty,U_3045),U_3041)),U_3037))
    | ~ hBOOL(hAPP_f126445617l_bool(hAPP_P1313790473l_bool(member1551446420t_char,hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_3045),U_3043)),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_3041),U_3039))),lex_pr213428520t_char(U_3037,U_3035))) ),
    inference(clausify,[status(thm)],[f_521_3]) ).

cnf(f_521_6,plain,
    ( ~ hBOOL(hAPP_f288221747l_bool(hAPP_P569585933l_bool(member520253462har_ty,hAPP_l1294856089har_ty(hAPP_l1657578379har_ty(produc1860789535har_ty,U_3046),U_3042)),U_3038))
    | hBOOL(hAPP_f126445617l_bool(hAPP_P1313790473l_bool(member1551446420t_char,hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_3046),U_3044)),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_3042),U_3040))),lex_pr213428520t_char(U_3038,U_3036))) ),
    inference(clausify,[status(thm)],[f_521_3]) ).

cnf(f_521_7,plain,
    ( ~ hBOOL(hAPP_f1748390065l_bool(hAPP_P1503283977l_bool(member1580476948t_char,hAPP_l1334098948t_char(hAPP_l1450984463t_char(produc436875159t_char,U_3044),U_3040)),U_3036))
    | U_3046 != U_3042
    | hBOOL(hAPP_f126445617l_bool(hAPP_P1313790473l_bool(member1551446420t_char,hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_3046),U_3044)),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_3042),U_3040))),lex_pr213428520t_char(U_3038,U_3036))) ),
    inference(clausify,[status(thm)],[f_521_3]) ).

fof(f_522_1,plain,
    ! [A,B,A_3,B_3,R_1,S] :
      ( ( hBOOL(hAPP_f272179441l_bool(hAPP_P396425609l_bool(member1607118676t_char,hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,A),B)),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,A_3),B_3))),lex_pr167435119t_char(R_1,S)))
        | ( ( ~ hBOOL(hAPP_f126445617l_bool(hAPP_P1313790473l_bool(member1551446420t_char,hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,B),B_3)),S))
            | A != A_3 )
          & ~ hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A),A_3)),R_1)) ) )
      & ( ( hBOOL(hAPP_f126445617l_bool(hAPP_P1313790473l_bool(member1551446420t_char,hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,B),B_3)),S))
          & A = A_3 )
        | hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A),A_3)),R_1))
        | ~ hBOOL(hAPP_f272179441l_bool(hAPP_P396425609l_bool(member1607118676t_char,hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,A),B)),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,A_3),B_3))),lex_pr167435119t_char(R_1,S))) ) ),
    inference(fof_nnf,[status(thm)],[fact_380_in__lex__prod]) ).

fof(f_522_2,plain,
    ! [U_3052,U_3051,U_3050,U_3049,U_3048,U_3047] :
      ( ( hBOOL(hAPP_f272179441l_bool(hAPP_P396425609l_bool(member1607118676t_char,hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_3052),U_3051)),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_3050),U_3049))),lex_pr167435119t_char(U_3048,U_3047)))
        | ( ( ~ hBOOL(hAPP_f126445617l_bool(hAPP_P1313790473l_bool(member1551446420t_char,hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,U_3051),U_3049)),U_3047))
            | U_3052 != U_3050 )
          & ~ hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_3052),U_3050)),U_3048)) ) )
      & ( ( hBOOL(hAPP_f126445617l_bool(hAPP_P1313790473l_bool(member1551446420t_char,hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,U_3051),U_3049)),U_3047))
          & U_3052 = U_3050 )
        | hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_3052),U_3050)),U_3048))
        | ~ hBOOL(hAPP_f272179441l_bool(hAPP_P396425609l_bool(member1607118676t_char,hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_3052),U_3051)),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_3050),U_3049))),lex_pr167435119t_char(U_3048,U_3047))) ) ),
    inference(variable_rename,[status(thm)],[f_522_1]) ).

fof(f_522_3,plain,
    ( ! [U_3064,U_3062,U_3060,U_3058,U_3056,U_3054] :
        ( hBOOL(hAPP_f272179441l_bool(hAPP_P396425609l_bool(member1607118676t_char,hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_3064),U_3062)),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_3060),U_3058))),lex_pr167435119t_char(U_3056,U_3054)))
        | ( ( ~ hBOOL(hAPP_f126445617l_bool(hAPP_P1313790473l_bool(member1551446420t_char,hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,U_3062),U_3058)),U_3054))
            | U_3064 != U_3060 )
          & ~ hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_3064),U_3060)),U_3056)) ) )
    & ! [U_3063,U_3061,U_3059,U_3057,U_3055,U_3053] :
        ( ( hBOOL(hAPP_f126445617l_bool(hAPP_P1313790473l_bool(member1551446420t_char,hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,U_3061),U_3057)),U_3053))
          & U_3063 = U_3059 )
        | hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_3063),U_3059)),U_3055))
        | ~ hBOOL(hAPP_f272179441l_bool(hAPP_P396425609l_bool(member1607118676t_char,hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_3063),U_3061)),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_3059),U_3057))),lex_pr167435119t_char(U_3055,U_3053))) ) ),
    inference(miniscope,[status(thm)],[f_522_2]) ).

cnf(f_522_4,plain,
    ( U_3063 = U_3059
    | hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_3063),U_3059)),U_3055))
    | ~ hBOOL(hAPP_f272179441l_bool(hAPP_P396425609l_bool(member1607118676t_char,hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_3063),U_3061)),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_3059),U_3057))),lex_pr167435119t_char(U_3055,U_3053))) ),
    inference(clausify,[status(thm)],[f_522_3]) ).

cnf(f_522_5,plain,
    ( hBOOL(hAPP_f126445617l_bool(hAPP_P1313790473l_bool(member1551446420t_char,hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,U_3061),U_3057)),U_3053))
    | hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_3063),U_3059)),U_3055))
    | ~ hBOOL(hAPP_f272179441l_bool(hAPP_P396425609l_bool(member1607118676t_char,hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_3063),U_3061)),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_3059),U_3057))),lex_pr167435119t_char(U_3055,U_3053))) ),
    inference(clausify,[status(thm)],[f_522_3]) ).

cnf(f_522_6,plain,
    ( ~ hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_3064),U_3060)),U_3056))
    | hBOOL(hAPP_f272179441l_bool(hAPP_P396425609l_bool(member1607118676t_char,hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_3064),U_3062)),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_3060),U_3058))),lex_pr167435119t_char(U_3056,U_3054))) ),
    inference(clausify,[status(thm)],[f_522_3]) ).

cnf(f_522_7,plain,
    ( ~ hBOOL(hAPP_f126445617l_bool(hAPP_P1313790473l_bool(member1551446420t_char,hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,U_3062),U_3058)),U_3054))
    | U_3064 != U_3060
    | hBOOL(hAPP_f272179441l_bool(hAPP_P396425609l_bool(member1607118676t_char,hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_3064),U_3062)),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_3060),U_3058))),lex_pr167435119t_char(U_3056,U_3054))) ),
    inference(clausify,[status(thm)],[f_522_3]) ).

fof(f_523_1,plain,
    ! [A,B,A_3,B_3,R_1,S] :
      ( ( hBOOL(hAPP_f538118321l_bool(hAPP_P1390376713l_bool(member162552852t_char,hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,A),B)),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,A_3),B_3))),lex_pr1668767798t_char(R_1,S)))
        | ( ( ~ hBOOL(hAPP_f272179441l_bool(hAPP_P396425609l_bool(member1607118676t_char,hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,B),B_3)),S))
            | A != A_3 )
          & ~ hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A),A_3)),R_1)) ) )
      & ( ( hBOOL(hAPP_f272179441l_bool(hAPP_P396425609l_bool(member1607118676t_char,hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,B),B_3)),S))
          & A = A_3 )
        | hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A),A_3)),R_1))
        | ~ hBOOL(hAPP_f538118321l_bool(hAPP_P1390376713l_bool(member162552852t_char,hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,A),B)),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,A_3),B_3))),lex_pr1668767798t_char(R_1,S))) ) ),
    inference(fof_nnf,[status(thm)],[fact_381_in__lex__prod]) ).

fof(f_523_2,plain,
    ! [U_3070,U_3069,U_3068,U_3067,U_3066,U_3065] :
      ( ( hBOOL(hAPP_f538118321l_bool(hAPP_P1390376713l_bool(member162552852t_char,hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_3070),U_3069)),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_3068),U_3067))),lex_pr1668767798t_char(U_3066,U_3065)))
        | ( ( ~ hBOOL(hAPP_f272179441l_bool(hAPP_P396425609l_bool(member1607118676t_char,hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,U_3069),U_3067)),U_3065))
            | U_3070 != U_3068 )
          & ~ hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_3070),U_3068)),U_3066)) ) )
      & ( ( hBOOL(hAPP_f272179441l_bool(hAPP_P396425609l_bool(member1607118676t_char,hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,U_3069),U_3067)),U_3065))
          & U_3070 = U_3068 )
        | hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_3070),U_3068)),U_3066))
        | ~ hBOOL(hAPP_f538118321l_bool(hAPP_P1390376713l_bool(member162552852t_char,hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_3070),U_3069)),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_3068),U_3067))),lex_pr1668767798t_char(U_3066,U_3065))) ) ),
    inference(variable_rename,[status(thm)],[f_523_1]) ).

fof(f_523_3,plain,
    ( ! [U_3082,U_3080,U_3078,U_3076,U_3074,U_3072] :
        ( hBOOL(hAPP_f538118321l_bool(hAPP_P1390376713l_bool(member162552852t_char,hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_3082),U_3080)),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_3078),U_3076))),lex_pr1668767798t_char(U_3074,U_3072)))
        | ( ( ~ hBOOL(hAPP_f272179441l_bool(hAPP_P396425609l_bool(member1607118676t_char,hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,U_3080),U_3076)),U_3072))
            | U_3082 != U_3078 )
          & ~ hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_3082),U_3078)),U_3074)) ) )
    & ! [U_3081,U_3079,U_3077,U_3075,U_3073,U_3071] :
        ( ( hBOOL(hAPP_f272179441l_bool(hAPP_P396425609l_bool(member1607118676t_char,hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,U_3079),U_3075)),U_3071))
          & U_3081 = U_3077 )
        | hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_3081),U_3077)),U_3073))
        | ~ hBOOL(hAPP_f538118321l_bool(hAPP_P1390376713l_bool(member162552852t_char,hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_3081),U_3079)),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_3077),U_3075))),lex_pr1668767798t_char(U_3073,U_3071))) ) ),
    inference(miniscope,[status(thm)],[f_523_2]) ).

cnf(f_523_4,plain,
    ( U_3081 = U_3077
    | hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_3081),U_3077)),U_3073))
    | ~ hBOOL(hAPP_f538118321l_bool(hAPP_P1390376713l_bool(member162552852t_char,hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_3081),U_3079)),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_3077),U_3075))),lex_pr1668767798t_char(U_3073,U_3071))) ),
    inference(clausify,[status(thm)],[f_523_3]) ).

cnf(f_523_5,plain,
    ( hBOOL(hAPP_f272179441l_bool(hAPP_P396425609l_bool(member1607118676t_char,hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,U_3079),U_3075)),U_3071))
    | hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_3081),U_3077)),U_3073))
    | ~ hBOOL(hAPP_f538118321l_bool(hAPP_P1390376713l_bool(member162552852t_char,hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_3081),U_3079)),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_3077),U_3075))),lex_pr1668767798t_char(U_3073,U_3071))) ),
    inference(clausify,[status(thm)],[f_523_3]) ).

cnf(f_523_6,plain,
    ( ~ hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_3082),U_3078)),U_3074))
    | hBOOL(hAPP_f538118321l_bool(hAPP_P1390376713l_bool(member162552852t_char,hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_3082),U_3080)),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_3078),U_3076))),lex_pr1668767798t_char(U_3074,U_3072))) ),
    inference(clausify,[status(thm)],[f_523_3]) ).

cnf(f_523_7,plain,
    ( ~ hBOOL(hAPP_f272179441l_bool(hAPP_P396425609l_bool(member1607118676t_char,hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,U_3080),U_3076)),U_3072))
    | U_3082 != U_3078
    | hBOOL(hAPP_f538118321l_bool(hAPP_P1390376713l_bool(member162552852t_char,hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_3082),U_3080)),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_3078),U_3076))),lex_pr1668767798t_char(U_3074,U_3072))) ),
    inference(clausify,[status(thm)],[f_523_3]) ).

fof(f_524_1,plain,
    ! [A,B,A_3,B_3,R_1,S] :
      ( ( hBOOL(hAPP_f1145574243l_bool(hAPP_P2139822957l_bool(member1161907014t_char,hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,A),B)),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,A_3),B_3))),lex_pr307591827t_char(R_1,S)))
        | ( ( ~ hBOOL(hAPP_f588675559l_bool(hAPP_P1860450421l_bool(member1199939018t_char,hAPP_e817857447t_char(hAPP_e1376201919t_char(produc943465171t_char,B),B_3)),S))
            | A != A_3 )
          & ~ hBOOL(hAPP_f348753975l_bool(hAPP_P1033205013l_bool(member273646106st_val,hAPP_l1249476511st_val(hAPP_l103437071st_val(produc2078839843st_val,A),A_3)),R_1)) ) )
      & ( ( hBOOL(hAPP_f588675559l_bool(hAPP_P1860450421l_bool(member1199939018t_char,hAPP_e817857447t_char(hAPP_e1376201919t_char(produc943465171t_char,B),B_3)),S))
          & A = A_3 )
        | hBOOL(hAPP_f348753975l_bool(hAPP_P1033205013l_bool(member273646106st_val,hAPP_l1249476511st_val(hAPP_l103437071st_val(produc2078839843st_val,A),A_3)),R_1))
        | ~ hBOOL(hAPP_f1145574243l_bool(hAPP_P2139822957l_bool(member1161907014t_char,hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,A),B)),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,A_3),B_3))),lex_pr307591827t_char(R_1,S))) ) ),
    inference(fof_nnf,[status(thm)],[fact_382_in__lex__prod]) ).

fof(f_524_2,plain,
    ! [U_3088,U_3087,U_3086,U_3085,U_3084,U_3083] :
      ( ( hBOOL(hAPP_f1145574243l_bool(hAPP_P2139822957l_bool(member1161907014t_char,hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_3088),U_3087)),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_3086),U_3085))),lex_pr307591827t_char(U_3084,U_3083)))
        | ( ( ~ hBOOL(hAPP_f588675559l_bool(hAPP_P1860450421l_bool(member1199939018t_char,hAPP_e817857447t_char(hAPP_e1376201919t_char(produc943465171t_char,U_3087),U_3085)),U_3083))
            | U_3088 != U_3086 )
          & ~ hBOOL(hAPP_f348753975l_bool(hAPP_P1033205013l_bool(member273646106st_val,hAPP_l1249476511st_val(hAPP_l103437071st_val(produc2078839843st_val,U_3088),U_3086)),U_3084)) ) )
      & ( ( hBOOL(hAPP_f588675559l_bool(hAPP_P1860450421l_bool(member1199939018t_char,hAPP_e817857447t_char(hAPP_e1376201919t_char(produc943465171t_char,U_3087),U_3085)),U_3083))
          & U_3088 = U_3086 )
        | hBOOL(hAPP_f348753975l_bool(hAPP_P1033205013l_bool(member273646106st_val,hAPP_l1249476511st_val(hAPP_l103437071st_val(produc2078839843st_val,U_3088),U_3086)),U_3084))
        | ~ hBOOL(hAPP_f1145574243l_bool(hAPP_P2139822957l_bool(member1161907014t_char,hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_3088),U_3087)),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_3086),U_3085))),lex_pr307591827t_char(U_3084,U_3083))) ) ),
    inference(variable_rename,[status(thm)],[f_524_1]) ).

fof(f_524_3,plain,
    ( ! [U_3100,U_3098,U_3096,U_3094,U_3092,U_3090] :
        ( hBOOL(hAPP_f1145574243l_bool(hAPP_P2139822957l_bool(member1161907014t_char,hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_3100),U_3098)),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_3096),U_3094))),lex_pr307591827t_char(U_3092,U_3090)))
        | ( ( ~ hBOOL(hAPP_f588675559l_bool(hAPP_P1860450421l_bool(member1199939018t_char,hAPP_e817857447t_char(hAPP_e1376201919t_char(produc943465171t_char,U_3098),U_3094)),U_3090))
            | U_3100 != U_3096 )
          & ~ hBOOL(hAPP_f348753975l_bool(hAPP_P1033205013l_bool(member273646106st_val,hAPP_l1249476511st_val(hAPP_l103437071st_val(produc2078839843st_val,U_3100),U_3096)),U_3092)) ) )
    & ! [U_3099,U_3097,U_3095,U_3093,U_3091,U_3089] :
        ( ( hBOOL(hAPP_f588675559l_bool(hAPP_P1860450421l_bool(member1199939018t_char,hAPP_e817857447t_char(hAPP_e1376201919t_char(produc943465171t_char,U_3097),U_3093)),U_3089))
          & U_3099 = U_3095 )
        | hBOOL(hAPP_f348753975l_bool(hAPP_P1033205013l_bool(member273646106st_val,hAPP_l1249476511st_val(hAPP_l103437071st_val(produc2078839843st_val,U_3099),U_3095)),U_3091))
        | ~ hBOOL(hAPP_f1145574243l_bool(hAPP_P2139822957l_bool(member1161907014t_char,hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_3099),U_3097)),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_3095),U_3093))),lex_pr307591827t_char(U_3091,U_3089))) ) ),
    inference(miniscope,[status(thm)],[f_524_2]) ).

cnf(f_524_4,plain,
    ( U_3099 = U_3095
    | hBOOL(hAPP_f348753975l_bool(hAPP_P1033205013l_bool(member273646106st_val,hAPP_l1249476511st_val(hAPP_l103437071st_val(produc2078839843st_val,U_3099),U_3095)),U_3091))
    | ~ hBOOL(hAPP_f1145574243l_bool(hAPP_P2139822957l_bool(member1161907014t_char,hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_3099),U_3097)),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_3095),U_3093))),lex_pr307591827t_char(U_3091,U_3089))) ),
    inference(clausify,[status(thm)],[f_524_3]) ).

cnf(f_524_5,plain,
    ( hBOOL(hAPP_f588675559l_bool(hAPP_P1860450421l_bool(member1199939018t_char,hAPP_e817857447t_char(hAPP_e1376201919t_char(produc943465171t_char,U_3097),U_3093)),U_3089))
    | hBOOL(hAPP_f348753975l_bool(hAPP_P1033205013l_bool(member273646106st_val,hAPP_l1249476511st_val(hAPP_l103437071st_val(produc2078839843st_val,U_3099),U_3095)),U_3091))
    | ~ hBOOL(hAPP_f1145574243l_bool(hAPP_P2139822957l_bool(member1161907014t_char,hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_3099),U_3097)),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_3095),U_3093))),lex_pr307591827t_char(U_3091,U_3089))) ),
    inference(clausify,[status(thm)],[f_524_3]) ).

cnf(f_524_6,plain,
    ( ~ hBOOL(hAPP_f348753975l_bool(hAPP_P1033205013l_bool(member273646106st_val,hAPP_l1249476511st_val(hAPP_l103437071st_val(produc2078839843st_val,U_3100),U_3096)),U_3092))
    | hBOOL(hAPP_f1145574243l_bool(hAPP_P2139822957l_bool(member1161907014t_char,hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_3100),U_3098)),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_3096),U_3094))),lex_pr307591827t_char(U_3092,U_3090))) ),
    inference(clausify,[status(thm)],[f_524_3]) ).

cnf(f_524_7,plain,
    ( ~ hBOOL(hAPP_f588675559l_bool(hAPP_P1860450421l_bool(member1199939018t_char,hAPP_e817857447t_char(hAPP_e1376201919t_char(produc943465171t_char,U_3098),U_3094)),U_3090))
    | U_3100 != U_3096
    | hBOOL(hAPP_f1145574243l_bool(hAPP_P2139822957l_bool(member1161907014t_char,hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_3100),U_3098)),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_3096),U_3094))),lex_pr307591827t_char(U_3092,U_3090))) ),
    inference(clausify,[status(thm)],[f_524_3]) ).

fof(f_525_1,plain,
    ! [A,B,A_3,B_3,R_1,S] :
      ( ( hBOOL(hAPP_f258424141l_bool(hAPP_P409642305l_bool(member125098544t_char,hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,A),B)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,A_3),B_3))),lex_pr1588300168t_char(R_1,S)))
        | ( ( ~ hBOOL(hAPP_f1145574243l_bool(hAPP_P2139822957l_bool(member1161907014t_char,hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,B),B_3)),S))
            | A != A_3 )
          & ~ hBOOL(hAPP_f433445541l_bool(hAPP_P1019319281l_bool(member104734088ist_ty,hAPP_l1319068228ist_ty(hAPP_l1770520637ist_ty(produc512429457ist_ty,A),A_3)),R_1)) ) )
      & ( ( hBOOL(hAPP_f1145574243l_bool(hAPP_P2139822957l_bool(member1161907014t_char,hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,B),B_3)),S))
          & A = A_3 )
        | hBOOL(hAPP_f433445541l_bool(hAPP_P1019319281l_bool(member104734088ist_ty,hAPP_l1319068228ist_ty(hAPP_l1770520637ist_ty(produc512429457ist_ty,A),A_3)),R_1))
        | ~ hBOOL(hAPP_f258424141l_bool(hAPP_P409642305l_bool(member125098544t_char,hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,A),B)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,A_3),B_3))),lex_pr1588300168t_char(R_1,S))) ) ),
    inference(fof_nnf,[status(thm)],[fact_383_in__lex__prod]) ).

fof(f_525_2,plain,
    ! [U_3106,U_3105,U_3104,U_3103,U_3102,U_3101] :
      ( ( hBOOL(hAPP_f258424141l_bool(hAPP_P409642305l_bool(member125098544t_char,hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_3106),U_3105)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_3104),U_3103))),lex_pr1588300168t_char(U_3102,U_3101)))
        | ( ( ~ hBOOL(hAPP_f1145574243l_bool(hAPP_P2139822957l_bool(member1161907014t_char,hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,U_3105),U_3103)),U_3101))
            | U_3106 != U_3104 )
          & ~ hBOOL(hAPP_f433445541l_bool(hAPP_P1019319281l_bool(member104734088ist_ty,hAPP_l1319068228ist_ty(hAPP_l1770520637ist_ty(produc512429457ist_ty,U_3106),U_3104)),U_3102)) ) )
      & ( ( hBOOL(hAPP_f1145574243l_bool(hAPP_P2139822957l_bool(member1161907014t_char,hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,U_3105),U_3103)),U_3101))
          & U_3106 = U_3104 )
        | hBOOL(hAPP_f433445541l_bool(hAPP_P1019319281l_bool(member104734088ist_ty,hAPP_l1319068228ist_ty(hAPP_l1770520637ist_ty(produc512429457ist_ty,U_3106),U_3104)),U_3102))
        | ~ hBOOL(hAPP_f258424141l_bool(hAPP_P409642305l_bool(member125098544t_char,hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_3106),U_3105)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_3104),U_3103))),lex_pr1588300168t_char(U_3102,U_3101))) ) ),
    inference(variable_rename,[status(thm)],[f_525_1]) ).

fof(f_525_3,plain,
    ( ! [U_3118,U_3116,U_3114,U_3112,U_3110,U_3108] :
        ( hBOOL(hAPP_f258424141l_bool(hAPP_P409642305l_bool(member125098544t_char,hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_3118),U_3116)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_3114),U_3112))),lex_pr1588300168t_char(U_3110,U_3108)))
        | ( ( ~ hBOOL(hAPP_f1145574243l_bool(hAPP_P2139822957l_bool(member1161907014t_char,hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,U_3116),U_3112)),U_3108))
            | U_3118 != U_3114 )
          & ~ hBOOL(hAPP_f433445541l_bool(hAPP_P1019319281l_bool(member104734088ist_ty,hAPP_l1319068228ist_ty(hAPP_l1770520637ist_ty(produc512429457ist_ty,U_3118),U_3114)),U_3110)) ) )
    & ! [U_3117,U_3115,U_3113,U_3111,U_3109,U_3107] :
        ( ( hBOOL(hAPP_f1145574243l_bool(hAPP_P2139822957l_bool(member1161907014t_char,hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,U_3115),U_3111)),U_3107))
          & U_3117 = U_3113 )
        | hBOOL(hAPP_f433445541l_bool(hAPP_P1019319281l_bool(member104734088ist_ty,hAPP_l1319068228ist_ty(hAPP_l1770520637ist_ty(produc512429457ist_ty,U_3117),U_3113)),U_3109))
        | ~ hBOOL(hAPP_f258424141l_bool(hAPP_P409642305l_bool(member125098544t_char,hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_3117),U_3115)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_3113),U_3111))),lex_pr1588300168t_char(U_3109,U_3107))) ) ),
    inference(miniscope,[status(thm)],[f_525_2]) ).

cnf(f_525_4,plain,
    ( U_3117 = U_3113
    | hBOOL(hAPP_f433445541l_bool(hAPP_P1019319281l_bool(member104734088ist_ty,hAPP_l1319068228ist_ty(hAPP_l1770520637ist_ty(produc512429457ist_ty,U_3117),U_3113)),U_3109))
    | ~ hBOOL(hAPP_f258424141l_bool(hAPP_P409642305l_bool(member125098544t_char,hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_3117),U_3115)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_3113),U_3111))),lex_pr1588300168t_char(U_3109,U_3107))) ),
    inference(clausify,[status(thm)],[f_525_3]) ).

cnf(f_525_5,plain,
    ( hBOOL(hAPP_f1145574243l_bool(hAPP_P2139822957l_bool(member1161907014t_char,hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,U_3115),U_3111)),U_3107))
    | hBOOL(hAPP_f433445541l_bool(hAPP_P1019319281l_bool(member104734088ist_ty,hAPP_l1319068228ist_ty(hAPP_l1770520637ist_ty(produc512429457ist_ty,U_3117),U_3113)),U_3109))
    | ~ hBOOL(hAPP_f258424141l_bool(hAPP_P409642305l_bool(member125098544t_char,hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_3117),U_3115)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_3113),U_3111))),lex_pr1588300168t_char(U_3109,U_3107))) ),
    inference(clausify,[status(thm)],[f_525_3]) ).

cnf(f_525_6,plain,
    ( ~ hBOOL(hAPP_f433445541l_bool(hAPP_P1019319281l_bool(member104734088ist_ty,hAPP_l1319068228ist_ty(hAPP_l1770520637ist_ty(produc512429457ist_ty,U_3118),U_3114)),U_3110))
    | hBOOL(hAPP_f258424141l_bool(hAPP_P409642305l_bool(member125098544t_char,hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_3118),U_3116)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_3114),U_3112))),lex_pr1588300168t_char(U_3110,U_3108))) ),
    inference(clausify,[status(thm)],[f_525_3]) ).

cnf(f_525_7,plain,
    ( ~ hBOOL(hAPP_f1145574243l_bool(hAPP_P2139822957l_bool(member1161907014t_char,hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,U_3116),U_3112)),U_3108))
    | U_3118 != U_3114
    | hBOOL(hAPP_f258424141l_bool(hAPP_P409642305l_bool(member125098544t_char,hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_3118),U_3116)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_3114),U_3112))),lex_pr1588300168t_char(U_3110,U_3108))) ),
    inference(clausify,[status(thm)],[f_525_3]) ).

fof(f_526_1,plain,
    ! [A,B,A_3,B_3,R_1,S] :
      ( ( hBOOL(hAPP_f528956081l_bool(hAPP_P325013257l_bool(member1420286996t_char,hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,A),B)),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,A_3),B_3))),lex_pr1876288492t_char(R_1,S)))
        | ( ( ~ hBOOL(hAPP_f258424141l_bool(hAPP_P409642305l_bool(member125098544t_char,hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,B),B_3)),S))
            | A != A_3 )
          & ~ hBOOL(hAPP_f479632753l_bool(hAPP_P153687689l_bool(member817832404t_char,hAPP_l1883348915t_char(hAPP_l2019537453t_char(produc2035944023t_char,A),A_3)),R_1)) ) )
      & ( ( hBOOL(hAPP_f258424141l_bool(hAPP_P409642305l_bool(member125098544t_char,hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,B),B_3)),S))
          & A = A_3 )
        | hBOOL(hAPP_f479632753l_bool(hAPP_P153687689l_bool(member817832404t_char,hAPP_l1883348915t_char(hAPP_l2019537453t_char(produc2035944023t_char,A),A_3)),R_1))
        | ~ hBOOL(hAPP_f528956081l_bool(hAPP_P325013257l_bool(member1420286996t_char,hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,A),B)),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,A_3),B_3))),lex_pr1876288492t_char(R_1,S))) ) ),
    inference(fof_nnf,[status(thm)],[fact_384_in__lex__prod]) ).

fof(f_526_2,plain,
    ! [U_3124,U_3123,U_3122,U_3121,U_3120,U_3119] :
      ( ( hBOOL(hAPP_f528956081l_bool(hAPP_P325013257l_bool(member1420286996t_char,hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_3124),U_3123)),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_3122),U_3121))),lex_pr1876288492t_char(U_3120,U_3119)))
        | ( ( ~ hBOOL(hAPP_f258424141l_bool(hAPP_P409642305l_bool(member125098544t_char,hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,U_3123),U_3121)),U_3119))
            | U_3124 != U_3122 )
          & ~ hBOOL(hAPP_f479632753l_bool(hAPP_P153687689l_bool(member817832404t_char,hAPP_l1883348915t_char(hAPP_l2019537453t_char(produc2035944023t_char,U_3124),U_3122)),U_3120)) ) )
      & ( ( hBOOL(hAPP_f258424141l_bool(hAPP_P409642305l_bool(member125098544t_char,hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,U_3123),U_3121)),U_3119))
          & U_3124 = U_3122 )
        | hBOOL(hAPP_f479632753l_bool(hAPP_P153687689l_bool(member817832404t_char,hAPP_l1883348915t_char(hAPP_l2019537453t_char(produc2035944023t_char,U_3124),U_3122)),U_3120))
        | ~ hBOOL(hAPP_f528956081l_bool(hAPP_P325013257l_bool(member1420286996t_char,hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_3124),U_3123)),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_3122),U_3121))),lex_pr1876288492t_char(U_3120,U_3119))) ) ),
    inference(variable_rename,[status(thm)],[f_526_1]) ).

fof(f_526_3,plain,
    ( ! [U_3136,U_3134,U_3132,U_3130,U_3128,U_3126] :
        ( hBOOL(hAPP_f528956081l_bool(hAPP_P325013257l_bool(member1420286996t_char,hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_3136),U_3134)),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_3132),U_3130))),lex_pr1876288492t_char(U_3128,U_3126)))
        | ( ( ~ hBOOL(hAPP_f258424141l_bool(hAPP_P409642305l_bool(member125098544t_char,hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,U_3134),U_3130)),U_3126))
            | U_3136 != U_3132 )
          & ~ hBOOL(hAPP_f479632753l_bool(hAPP_P153687689l_bool(member817832404t_char,hAPP_l1883348915t_char(hAPP_l2019537453t_char(produc2035944023t_char,U_3136),U_3132)),U_3128)) ) )
    & ! [U_3135,U_3133,U_3131,U_3129,U_3127,U_3125] :
        ( ( hBOOL(hAPP_f258424141l_bool(hAPP_P409642305l_bool(member125098544t_char,hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,U_3133),U_3129)),U_3125))
          & U_3135 = U_3131 )
        | hBOOL(hAPP_f479632753l_bool(hAPP_P153687689l_bool(member817832404t_char,hAPP_l1883348915t_char(hAPP_l2019537453t_char(produc2035944023t_char,U_3135),U_3131)),U_3127))
        | ~ hBOOL(hAPP_f528956081l_bool(hAPP_P325013257l_bool(member1420286996t_char,hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_3135),U_3133)),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_3131),U_3129))),lex_pr1876288492t_char(U_3127,U_3125))) ) ),
    inference(miniscope,[status(thm)],[f_526_2]) ).

cnf(f_526_4,plain,
    ( U_3135 = U_3131
    | hBOOL(hAPP_f479632753l_bool(hAPP_P153687689l_bool(member817832404t_char,hAPP_l1883348915t_char(hAPP_l2019537453t_char(produc2035944023t_char,U_3135),U_3131)),U_3127))
    | ~ hBOOL(hAPP_f528956081l_bool(hAPP_P325013257l_bool(member1420286996t_char,hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_3135),U_3133)),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_3131),U_3129))),lex_pr1876288492t_char(U_3127,U_3125))) ),
    inference(clausify,[status(thm)],[f_526_3]) ).

cnf(f_526_5,plain,
    ( hBOOL(hAPP_f258424141l_bool(hAPP_P409642305l_bool(member125098544t_char,hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,U_3133),U_3129)),U_3125))
    | hBOOL(hAPP_f479632753l_bool(hAPP_P153687689l_bool(member817832404t_char,hAPP_l1883348915t_char(hAPP_l2019537453t_char(produc2035944023t_char,U_3135),U_3131)),U_3127))
    | ~ hBOOL(hAPP_f528956081l_bool(hAPP_P325013257l_bool(member1420286996t_char,hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_3135),U_3133)),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_3131),U_3129))),lex_pr1876288492t_char(U_3127,U_3125))) ),
    inference(clausify,[status(thm)],[f_526_3]) ).

cnf(f_526_6,plain,
    ( ~ hBOOL(hAPP_f479632753l_bool(hAPP_P153687689l_bool(member817832404t_char,hAPP_l1883348915t_char(hAPP_l2019537453t_char(produc2035944023t_char,U_3136),U_3132)),U_3128))
    | hBOOL(hAPP_f528956081l_bool(hAPP_P325013257l_bool(member1420286996t_char,hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_3136),U_3134)),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_3132),U_3130))),lex_pr1876288492t_char(U_3128,U_3126))) ),
    inference(clausify,[status(thm)],[f_526_3]) ).

cnf(f_526_7,plain,
    ( ~ hBOOL(hAPP_f258424141l_bool(hAPP_P409642305l_bool(member125098544t_char,hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,U_3134),U_3130)),U_3126))
    | U_3136 != U_3132
    | hBOOL(hAPP_f528956081l_bool(hAPP_P325013257l_bool(member1420286996t_char,hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_3136),U_3134)),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_3132),U_3130))),lex_pr1876288492t_char(U_3128,U_3126))) ),
    inference(clausify,[status(thm)],[f_526_3]) ).

fof(f_527_1,plain,
    ! [A,B,A_3,B_3,R_1,S] :
      ( ( hBOOL(hAPP_f1980787287l_bool(hAPP_P274544981l_bool(member88670778on_val,hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A),B)),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A_3),B_3))),lex_pr2110711565on_val(R_1,S)))
        | ( ( ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,B),B_3)),S))
            | A != A_3 )
          & ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A),A_3)),R_1)) ) )
      & ( ( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,B),B_3)),S))
          & A = A_3 )
        | hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A),A_3)),R_1))
        | ~ hBOOL(hAPP_f1980787287l_bool(hAPP_P274544981l_bool(member88670778on_val,hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A),B)),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A_3),B_3))),lex_pr2110711565on_val(R_1,S))) ) ),
    inference(fof_nnf,[status(thm)],[fact_385_in__lex__prod]) ).

fof(f_527_2,plain,
    ! [U_3142,U_3141,U_3140,U_3139,U_3138,U_3137] :
      ( ( hBOOL(hAPP_f1980787287l_bool(hAPP_P274544981l_bool(member88670778on_val,hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_3142),U_3141)),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_3140),U_3139))),lex_pr2110711565on_val(U_3138,U_3137)))
        | ( ( ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_3141),U_3139)),U_3137))
            | U_3142 != U_3140 )
          & ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_3142),U_3140)),U_3138)) ) )
      & ( ( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_3141),U_3139)),U_3137))
          & U_3142 = U_3140 )
        | hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_3142),U_3140)),U_3138))
        | ~ hBOOL(hAPP_f1980787287l_bool(hAPP_P274544981l_bool(member88670778on_val,hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_3142),U_3141)),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_3140),U_3139))),lex_pr2110711565on_val(U_3138,U_3137))) ) ),
    inference(variable_rename,[status(thm)],[f_527_1]) ).

fof(f_527_3,plain,
    ( ! [U_3154,U_3152,U_3150,U_3148,U_3146,U_3144] :
        ( hBOOL(hAPP_f1980787287l_bool(hAPP_P274544981l_bool(member88670778on_val,hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_3154),U_3152)),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_3150),U_3148))),lex_pr2110711565on_val(U_3146,U_3144)))
        | ( ( ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_3152),U_3148)),U_3144))
            | U_3154 != U_3150 )
          & ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_3154),U_3150)),U_3146)) ) )
    & ! [U_3153,U_3151,U_3149,U_3147,U_3145,U_3143] :
        ( ( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_3151),U_3147)),U_3143))
          & U_3153 = U_3149 )
        | hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_3153),U_3149)),U_3145))
        | ~ hBOOL(hAPP_f1980787287l_bool(hAPP_P274544981l_bool(member88670778on_val,hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_3153),U_3151)),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_3149),U_3147))),lex_pr2110711565on_val(U_3145,U_3143))) ) ),
    inference(miniscope,[status(thm)],[f_527_2]) ).

cnf(f_527_4,plain,
    ( U_3153 = U_3149
    | hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_3153),U_3149)),U_3145))
    | ~ hBOOL(hAPP_f1980787287l_bool(hAPP_P274544981l_bool(member88670778on_val,hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_3153),U_3151)),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_3149),U_3147))),lex_pr2110711565on_val(U_3145,U_3143))) ),
    inference(clausify,[status(thm)],[f_527_3]) ).

cnf(f_527_5,plain,
    ( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_3151),U_3147)),U_3143))
    | hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_3153),U_3149)),U_3145))
    | ~ hBOOL(hAPP_f1980787287l_bool(hAPP_P274544981l_bool(member88670778on_val,hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_3153),U_3151)),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_3149),U_3147))),lex_pr2110711565on_val(U_3145,U_3143))) ),
    inference(clausify,[status(thm)],[f_527_3]) ).

cnf(f_527_6,plain,
    ( ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_3154),U_3150)),U_3146))
    | hBOOL(hAPP_f1980787287l_bool(hAPP_P274544981l_bool(member88670778on_val,hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_3154),U_3152)),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_3150),U_3148))),lex_pr2110711565on_val(U_3146,U_3144))) ),
    inference(clausify,[status(thm)],[f_527_3]) ).

cnf(f_527_7,plain,
    ( ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_3152),U_3148)),U_3144))
    | U_3154 != U_3150
    | hBOOL(hAPP_f1980787287l_bool(hAPP_P274544981l_bool(member88670778on_val,hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_3154),U_3152)),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_3150),U_3148))),lex_pr2110711565on_val(U_3146,U_3144))) ),
    inference(clausify,[status(thm)],[f_527_3]) ).

fof(f_528_1,plain,
    ! [A,B,A_3,B_3,R_1,S] :
      ( ( hBOOL(hAPP_f2129782055l_bool(hAPP_P124661l_bool(member837208074al_val,hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A),B)),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A_3),B_3))),lex_prod_val_val(R_1,S)))
        | ( ( ~ hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,B),B_3)),S))
            | A != A_3 )
          & ~ hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A),A_3)),R_1)) ) )
      & ( ( hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,B),B_3)),S))
          & A = A_3 )
        | hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A),A_3)),R_1))
        | ~ hBOOL(hAPP_f2129782055l_bool(hAPP_P124661l_bool(member837208074al_val,hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A),B)),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A_3),B_3))),lex_prod_val_val(R_1,S))) ) ),
    inference(fof_nnf,[status(thm)],[fact_386_in__lex__prod]) ).

fof(f_528_2,plain,
    ! [U_3160,U_3159,U_3158,U_3157,U_3156,U_3155] :
      ( ( hBOOL(hAPP_f2129782055l_bool(hAPP_P124661l_bool(member837208074al_val,hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_3160),U_3159)),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_3158),U_3157))),lex_prod_val_val(U_3156,U_3155)))
        | ( ( ~ hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_3159),U_3157)),U_3155))
            | U_3160 != U_3158 )
          & ~ hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_3160),U_3158)),U_3156)) ) )
      & ( ( hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_3159),U_3157)),U_3155))
          & U_3160 = U_3158 )
        | hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_3160),U_3158)),U_3156))
        | ~ hBOOL(hAPP_f2129782055l_bool(hAPP_P124661l_bool(member837208074al_val,hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_3160),U_3159)),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_3158),U_3157))),lex_prod_val_val(U_3156,U_3155))) ) ),
    inference(variable_rename,[status(thm)],[f_528_1]) ).

fof(f_528_3,plain,
    ( ! [U_3172,U_3170,U_3168,U_3166,U_3164,U_3162] :
        ( hBOOL(hAPP_f2129782055l_bool(hAPP_P124661l_bool(member837208074al_val,hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_3172),U_3170)),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_3168),U_3166))),lex_prod_val_val(U_3164,U_3162)))
        | ( ( ~ hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_3170),U_3166)),U_3162))
            | U_3172 != U_3168 )
          & ~ hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_3172),U_3168)),U_3164)) ) )
    & ! [U_3171,U_3169,U_3167,U_3165,U_3163,U_3161] :
        ( ( hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_3169),U_3165)),U_3161))
          & U_3171 = U_3167 )
        | hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_3171),U_3167)),U_3163))
        | ~ hBOOL(hAPP_f2129782055l_bool(hAPP_P124661l_bool(member837208074al_val,hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_3171),U_3169)),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_3167),U_3165))),lex_prod_val_val(U_3163,U_3161))) ) ),
    inference(miniscope,[status(thm)],[f_528_2]) ).

cnf(f_528_4,plain,
    ( U_3171 = U_3167
    | hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_3171),U_3167)),U_3163))
    | ~ hBOOL(hAPP_f2129782055l_bool(hAPP_P124661l_bool(member837208074al_val,hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_3171),U_3169)),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_3167),U_3165))),lex_prod_val_val(U_3163,U_3161))) ),
    inference(clausify,[status(thm)],[f_528_3]) ).

cnf(f_528_5,plain,
    ( hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_3169),U_3165)),U_3161))
    | hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_3171),U_3167)),U_3163))
    | ~ hBOOL(hAPP_f2129782055l_bool(hAPP_P124661l_bool(member837208074al_val,hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_3171),U_3169)),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_3167),U_3165))),lex_prod_val_val(U_3163,U_3161))) ),
    inference(clausify,[status(thm)],[f_528_3]) ).

cnf(f_528_6,plain,
    ( ~ hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_3172),U_3168)),U_3164))
    | hBOOL(hAPP_f2129782055l_bool(hAPP_P124661l_bool(member837208074al_val,hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_3172),U_3170)),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_3168),U_3166))),lex_prod_val_val(U_3164,U_3162))) ),
    inference(clausify,[status(thm)],[f_528_3]) ).

cnf(f_528_7,plain,
    ( ~ hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_3170),U_3166)),U_3162))
    | U_3172 != U_3168
    | hBOOL(hAPP_f2129782055l_bool(hAPP_P124661l_bool(member837208074al_val,hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_3172),U_3170)),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_3168),U_3166))),lex_prod_val_val(U_3164,U_3162))) ),
    inference(clausify,[status(thm)],[f_528_3]) ).

fof(f_529_1,plain,
    ! [A,B,A_3,B_3,R_1,S] :
      ( ( ( hBOOL(hAPP_f126136681l_bool(hAPP_P982127993l_bool(member1732271180al_val,hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,A),B)),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,A_3),B_3))),lex_pr1932514710al_val(R_1,S)))
          | ( ( ~ hBOOL(hAPP_f2129782055l_bool(hAPP_P124661l_bool(member837208074al_val,hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,B),B_3)),S))
              | A != A_3 )
            & ~ hBOOL(hAPP_f1854361213l_bool(hAPP_P1034346913l_bool(member978285664op_bop,hAPP_b1909667208op_bop(hAPP_b1058859669op_bop(product_Pair_bop_bop,A),A_3)),R_1)) ) )
        & ( ( hBOOL(hAPP_f2129782055l_bool(hAPP_P124661l_bool(member837208074al_val,hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,B),B_3)),S))
            & A = A_3 )
          | hBOOL(hAPP_f1854361213l_bool(hAPP_P1034346913l_bool(member978285664op_bop,hAPP_b1909667208op_bop(hAPP_b1058859669op_bop(product_Pair_bop_bop,A),A_3)),R_1))
          | ~ hBOOL(hAPP_f126136681l_bool(hAPP_P982127993l_bool(member1732271180al_val,hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,A),B)),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,A_3),B_3))),lex_pr1932514710al_val(R_1,S))) ) )
      | ~ is_bop(A_3)
      | ~ is_bop(A) ),
    inference(fof_nnf,[status(thm)],[fact_387_in__lex__prod]) ).

fof(f_529_2,plain,
    ! [U_3178,U_3177,U_3176,U_3175,U_3174,U_3173] :
      ( ( ( hBOOL(hAPP_f126136681l_bool(hAPP_P982127993l_bool(member1732271180al_val,hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_3178),U_3177)),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_3176),U_3175))),lex_pr1932514710al_val(U_3174,U_3173)))
          | ( ( ~ hBOOL(hAPP_f2129782055l_bool(hAPP_P124661l_bool(member837208074al_val,hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,U_3177),U_3175)),U_3173))
              | U_3178 != U_3176 )
            & ~ hBOOL(hAPP_f1854361213l_bool(hAPP_P1034346913l_bool(member978285664op_bop,hAPP_b1909667208op_bop(hAPP_b1058859669op_bop(product_Pair_bop_bop,U_3178),U_3176)),U_3174)) ) )
        & ( ( hBOOL(hAPP_f2129782055l_bool(hAPP_P124661l_bool(member837208074al_val,hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,U_3177),U_3175)),U_3173))
            & U_3178 = U_3176 )
          | hBOOL(hAPP_f1854361213l_bool(hAPP_P1034346913l_bool(member978285664op_bop,hAPP_b1909667208op_bop(hAPP_b1058859669op_bop(product_Pair_bop_bop,U_3178),U_3176)),U_3174))
          | ~ hBOOL(hAPP_f126136681l_bool(hAPP_P982127993l_bool(member1732271180al_val,hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_3178),U_3177)),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_3176),U_3175))),lex_pr1932514710al_val(U_3174,U_3173))) ) )
      | ~ is_bop(U_3176)
      | ~ is_bop(U_3178) ),
    inference(variable_rename,[status(thm)],[f_529_1]) ).

fof(f_529_3,plain,
    ! [U_3178,U_3177,U_3176] :
      ( ( ! [U_3184,U_3182,U_3180] :
            ( hBOOL(hAPP_f126136681l_bool(hAPP_P982127993l_bool(member1732271180al_val,hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_3178),U_3177)),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_3176),U_3184))),lex_pr1932514710al_val(U_3182,U_3180)))
            | ( ( ~ hBOOL(hAPP_f2129782055l_bool(hAPP_P124661l_bool(member837208074al_val,hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,U_3177),U_3184)),U_3180))
                | U_3178 != U_3176 )
              & ~ hBOOL(hAPP_f1854361213l_bool(hAPP_P1034346913l_bool(member978285664op_bop,hAPP_b1909667208op_bop(hAPP_b1058859669op_bop(product_Pair_bop_bop,U_3178),U_3176)),U_3182)) ) )
        & ! [U_3183,U_3181,U_3179] :
            ( ( hBOOL(hAPP_f2129782055l_bool(hAPP_P124661l_bool(member837208074al_val,hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,U_3177),U_3183)),U_3179))
              & U_3178 = U_3176 )
            | hBOOL(hAPP_f1854361213l_bool(hAPP_P1034346913l_bool(member978285664op_bop,hAPP_b1909667208op_bop(hAPP_b1058859669op_bop(product_Pair_bop_bop,U_3178),U_3176)),U_3181))
            | ~ hBOOL(hAPP_f126136681l_bool(hAPP_P982127993l_bool(member1732271180al_val,hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_3178),U_3177)),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_3176),U_3183))),lex_pr1932514710al_val(U_3181,U_3179))) ) )
      | ~ is_bop(U_3176)
      | ~ is_bop(U_3178) ),
    inference(miniscope,[status(thm)],[f_529_2]) ).

cnf(f_529_4,plain,
    ( U_3178 = U_3176
    | hBOOL(hAPP_f1854361213l_bool(hAPP_P1034346913l_bool(member978285664op_bop,hAPP_b1909667208op_bop(hAPP_b1058859669op_bop(product_Pair_bop_bop,U_3178),U_3176)),U_3181))
    | ~ hBOOL(hAPP_f126136681l_bool(hAPP_P982127993l_bool(member1732271180al_val,hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_3178),U_3177)),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_3176),U_3183))),lex_pr1932514710al_val(U_3181,U_3179)))
    | ~ is_bop(U_3176)
    | ~ is_bop(U_3178) ),
    inference(clausify,[status(thm)],[f_529_3]) ).

cnf(f_529_5,plain,
    ( hBOOL(hAPP_f2129782055l_bool(hAPP_P124661l_bool(member837208074al_val,hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,U_3177),U_3183)),U_3179))
    | hBOOL(hAPP_f1854361213l_bool(hAPP_P1034346913l_bool(member978285664op_bop,hAPP_b1909667208op_bop(hAPP_b1058859669op_bop(product_Pair_bop_bop,U_3178),U_3176)),U_3181))
    | ~ hBOOL(hAPP_f126136681l_bool(hAPP_P982127993l_bool(member1732271180al_val,hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_3178),U_3177)),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_3176),U_3183))),lex_pr1932514710al_val(U_3181,U_3179)))
    | ~ is_bop(U_3176)
    | ~ is_bop(U_3178) ),
    inference(clausify,[status(thm)],[f_529_3]) ).

cnf(f_529_6,plain,
    ( ~ hBOOL(hAPP_f1854361213l_bool(hAPP_P1034346913l_bool(member978285664op_bop,hAPP_b1909667208op_bop(hAPP_b1058859669op_bop(product_Pair_bop_bop,U_3178),U_3176)),U_3182))
    | hBOOL(hAPP_f126136681l_bool(hAPP_P982127993l_bool(member1732271180al_val,hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_3178),U_3177)),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_3176),U_3184))),lex_pr1932514710al_val(U_3182,U_3180)))
    | ~ is_bop(U_3176)
    | ~ is_bop(U_3178) ),
    inference(clausify,[status(thm)],[f_529_3]) ).

cnf(f_529_7,plain,
    ( ~ hBOOL(hAPP_f2129782055l_bool(hAPP_P124661l_bool(member837208074al_val,hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,U_3177),U_3184)),U_3180))
    | U_3178 != U_3176
    | hBOOL(hAPP_f126136681l_bool(hAPP_P982127993l_bool(member1732271180al_val,hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_3178),U_3177)),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_3176),U_3184))),lex_pr1932514710al_val(U_3182,U_3180)))
    | ~ is_bop(U_3176)
    | ~ is_bop(U_3178) ),
    inference(clausify,[status(thm)],[f_529_3]) ).

fof(f_530_1,plain,
    ! [A,B,A_3,B_3,R_1,S] :
      ( ( hBOOL(hAPP_f851858423l_bool(hAPP_P786771093l_bool(member794220506t_char,hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A),B)),hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A_3),B_3))),lex_pr280535005t_char(R_1,S)))
        | ( ( ~ hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,B),B_3)),S))
            | A != A_3 )
          & ~ hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A),A_3)),R_1)) ) )
      & ( ( hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,B),B_3)),S))
          & A = A_3 )
        | hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A),A_3)),R_1))
        | ~ hBOOL(hAPP_f851858423l_bool(hAPP_P786771093l_bool(member794220506t_char,hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A),B)),hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A_3),B_3))),lex_pr280535005t_char(R_1,S))) ) ),
    inference(fof_nnf,[status(thm)],[fact_388_in__lex__prod]) ).

fof(f_530_2,plain,
    ! [U_3190,U_3189,U_3188,U_3187,U_3186,U_3185] :
      ( ( hBOOL(hAPP_f851858423l_bool(hAPP_P786771093l_bool(member794220506t_char,hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_3190),U_3189)),hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_3188),U_3187))),lex_pr280535005t_char(U_3186,U_3185)))
        | ( ( ~ hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_3189),U_3187)),U_3185))
            | U_3190 != U_3188 )
          & ~ hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_3190),U_3188)),U_3186)) ) )
      & ( ( hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_3189),U_3187)),U_3185))
          & U_3190 = U_3188 )
        | hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_3190),U_3188)),U_3186))
        | ~ hBOOL(hAPP_f851858423l_bool(hAPP_P786771093l_bool(member794220506t_char,hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_3190),U_3189)),hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_3188),U_3187))),lex_pr280535005t_char(U_3186,U_3185))) ) ),
    inference(variable_rename,[status(thm)],[f_530_1]) ).

fof(f_530_3,plain,
    ( ! [U_3202,U_3200,U_3198,U_3196,U_3194,U_3192] :
        ( hBOOL(hAPP_f851858423l_bool(hAPP_P786771093l_bool(member794220506t_char,hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_3202),U_3200)),hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_3198),U_3196))),lex_pr280535005t_char(U_3194,U_3192)))
        | ( ( ~ hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_3200),U_3196)),U_3192))
            | U_3202 != U_3198 )
          & ~ hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_3202),U_3198)),U_3194)) ) )
    & ! [U_3201,U_3199,U_3197,U_3195,U_3193,U_3191] :
        ( ( hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_3199),U_3195)),U_3191))
          & U_3201 = U_3197 )
        | hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_3201),U_3197)),U_3193))
        | ~ hBOOL(hAPP_f851858423l_bool(hAPP_P786771093l_bool(member794220506t_char,hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_3201),U_3199)),hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_3197),U_3195))),lex_pr280535005t_char(U_3193,U_3191))) ) ),
    inference(miniscope,[status(thm)],[f_530_2]) ).

cnf(f_530_4,plain,
    ( U_3201 = U_3197
    | hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_3201),U_3197)),U_3193))
    | ~ hBOOL(hAPP_f851858423l_bool(hAPP_P786771093l_bool(member794220506t_char,hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_3201),U_3199)),hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_3197),U_3195))),lex_pr280535005t_char(U_3193,U_3191))) ),
    inference(clausify,[status(thm)],[f_530_3]) ).

cnf(f_530_5,plain,
    ( hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_3199),U_3195)),U_3191))
    | hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_3201),U_3197)),U_3193))
    | ~ hBOOL(hAPP_f851858423l_bool(hAPP_P786771093l_bool(member794220506t_char,hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_3201),U_3199)),hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_3197),U_3195))),lex_pr280535005t_char(U_3193,U_3191))) ),
    inference(clausify,[status(thm)],[f_530_3]) ).

cnf(f_530_6,plain,
    ( ~ hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_3202),U_3198)),U_3194))
    | hBOOL(hAPP_f851858423l_bool(hAPP_P786771093l_bool(member794220506t_char,hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_3202),U_3200)),hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_3198),U_3196))),lex_pr280535005t_char(U_3194,U_3192))) ),
    inference(clausify,[status(thm)],[f_530_3]) ).

cnf(f_530_7,plain,
    ( ~ hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_3200),U_3196)),U_3192))
    | U_3202 != U_3198
    | hBOOL(hAPP_f851858423l_bool(hAPP_P786771093l_bool(member794220506t_char,hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_3202),U_3200)),hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_3198),U_3196))),lex_pr280535005t_char(U_3194,U_3192))) ),
    inference(clausify,[status(thm)],[f_530_3]) ).

fof(f_531_1,plain,
    ! [A,B,A_3,B_3,R_1,S] :
      ( ( hBOOL(hAPP_f665343921l_bool(hAPP_P502294281l_bool(member1322055188on_val,hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,A),B)),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,A_3),B_3))),lex_pr1971266694on_val(R_1,S)))
        | ( ( ~ hBOOL(hAPP_f983152497l_bool(hAPP_P1953134729l_bool(member781783252on_val,hAPP_f1146435765on_val(hAPP_f1744304433on_val(produc1618304727on_val,B),B_3)),S))
            | A != A_3 )
          & ~ hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A),A_3)),R_1)) ) )
      & ( ( hBOOL(hAPP_f983152497l_bool(hAPP_P1953134729l_bool(member781783252on_val,hAPP_f1146435765on_val(hAPP_f1744304433on_val(produc1618304727on_val,B),B_3)),S))
          & A = A_3 )
        | hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A),A_3)),R_1))
        | ~ hBOOL(hAPP_f665343921l_bool(hAPP_P502294281l_bool(member1322055188on_val,hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,A),B)),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,A_3),B_3))),lex_pr1971266694on_val(R_1,S))) ) ),
    inference(fof_nnf,[status(thm)],[fact_389_in__lex__prod]) ).

fof(f_531_2,plain,
    ! [U_3208,U_3207,U_3206,U_3205,U_3204,U_3203] :
      ( ( hBOOL(hAPP_f665343921l_bool(hAPP_P502294281l_bool(member1322055188on_val,hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_3208),U_3207)),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_3206),U_3205))),lex_pr1971266694on_val(U_3204,U_3203)))
        | ( ( ~ hBOOL(hAPP_f983152497l_bool(hAPP_P1953134729l_bool(member781783252on_val,hAPP_f1146435765on_val(hAPP_f1744304433on_val(produc1618304727on_val,U_3207),U_3205)),U_3203))
            | U_3208 != U_3206 )
          & ~ hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_3208),U_3206)),U_3204)) ) )
      & ( ( hBOOL(hAPP_f983152497l_bool(hAPP_P1953134729l_bool(member781783252on_val,hAPP_f1146435765on_val(hAPP_f1744304433on_val(produc1618304727on_val,U_3207),U_3205)),U_3203))
          & U_3208 = U_3206 )
        | hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_3208),U_3206)),U_3204))
        | ~ hBOOL(hAPP_f665343921l_bool(hAPP_P502294281l_bool(member1322055188on_val,hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_3208),U_3207)),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_3206),U_3205))),lex_pr1971266694on_val(U_3204,U_3203))) ) ),
    inference(variable_rename,[status(thm)],[f_531_1]) ).

fof(f_531_3,plain,
    ( ! [U_3220,U_3218,U_3216,U_3214,U_3212,U_3210] :
        ( hBOOL(hAPP_f665343921l_bool(hAPP_P502294281l_bool(member1322055188on_val,hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_3220),U_3218)),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_3216),U_3214))),lex_pr1971266694on_val(U_3212,U_3210)))
        | ( ( ~ hBOOL(hAPP_f983152497l_bool(hAPP_P1953134729l_bool(member781783252on_val,hAPP_f1146435765on_val(hAPP_f1744304433on_val(produc1618304727on_val,U_3218),U_3214)),U_3210))
            | U_3220 != U_3216 )
          & ~ hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_3220),U_3216)),U_3212)) ) )
    & ! [U_3219,U_3217,U_3215,U_3213,U_3211,U_3209] :
        ( ( hBOOL(hAPP_f983152497l_bool(hAPP_P1953134729l_bool(member781783252on_val,hAPP_f1146435765on_val(hAPP_f1744304433on_val(produc1618304727on_val,U_3217),U_3213)),U_3209))
          & U_3219 = U_3215 )
        | hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_3219),U_3215)),U_3211))
        | ~ hBOOL(hAPP_f665343921l_bool(hAPP_P502294281l_bool(member1322055188on_val,hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_3219),U_3217)),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_3215),U_3213))),lex_pr1971266694on_val(U_3211,U_3209))) ) ),
    inference(miniscope,[status(thm)],[f_531_2]) ).

cnf(f_531_4,plain,
    ( U_3219 = U_3215
    | hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_3219),U_3215)),U_3211))
    | ~ hBOOL(hAPP_f665343921l_bool(hAPP_P502294281l_bool(member1322055188on_val,hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_3219),U_3217)),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_3215),U_3213))),lex_pr1971266694on_val(U_3211,U_3209))) ),
    inference(clausify,[status(thm)],[f_531_3]) ).

cnf(f_531_5,plain,
    ( hBOOL(hAPP_f983152497l_bool(hAPP_P1953134729l_bool(member781783252on_val,hAPP_f1146435765on_val(hAPP_f1744304433on_val(produc1618304727on_val,U_3217),U_3213)),U_3209))
    | hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_3219),U_3215)),U_3211))
    | ~ hBOOL(hAPP_f665343921l_bool(hAPP_P502294281l_bool(member1322055188on_val,hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_3219),U_3217)),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_3215),U_3213))),lex_pr1971266694on_val(U_3211,U_3209))) ),
    inference(clausify,[status(thm)],[f_531_3]) ).

cnf(f_531_6,plain,
    ( ~ hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_3220),U_3216)),U_3212))
    | hBOOL(hAPP_f665343921l_bool(hAPP_P502294281l_bool(member1322055188on_val,hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_3220),U_3218)),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_3216),U_3214))),lex_pr1971266694on_val(U_3212,U_3210))) ),
    inference(clausify,[status(thm)],[f_531_3]) ).

cnf(f_531_7,plain,
    ( ~ hBOOL(hAPP_f983152497l_bool(hAPP_P1953134729l_bool(member781783252on_val,hAPP_f1146435765on_val(hAPP_f1744304433on_val(produc1618304727on_val,U_3218),U_3214)),U_3210))
    | U_3220 != U_3216
    | hBOOL(hAPP_f665343921l_bool(hAPP_P502294281l_bool(member1322055188on_val,hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_3220),U_3218)),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_3216),U_3214))),lex_pr1971266694on_val(U_3212,U_3210))) ),
    inference(clausify,[status(thm)],[f_531_3]) ).

fof(f_532_1,plain,
    ! [A,B,A_3,B_3,R_1,S] :
      ( ( hBOOL(hAPP_f1297673713l_bool(hAPP_P240409993l_bool(member563141460on_val,hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A),B)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A_3),B_3))),lex_pr731210613on_val(R_1,S)))
        | ( ( ~ hBOOL(hAPP_f1661305905l_bool(hAPP_P1878549513l_bool(member490182804on_val,hAPP_f1741070310on_val(hAPP_f864891091on_val(produc1960514199on_val,B),B_3)),S))
            | A != A_3 )
          & ~ hBOOL(hAPP_f1754555101l_bool(hAPP_P1679186017l_bool(member1337019328on_val,hAPP_f368284312on_val(hAPP_f1805337205on_val(produc1712663241on_val,A),A_3)),R_1)) ) )
      & ( ( hBOOL(hAPP_f1661305905l_bool(hAPP_P1878549513l_bool(member490182804on_val,hAPP_f1741070310on_val(hAPP_f864891091on_val(produc1960514199on_val,B),B_3)),S))
          & A = A_3 )
        | hBOOL(hAPP_f1754555101l_bool(hAPP_P1679186017l_bool(member1337019328on_val,hAPP_f368284312on_val(hAPP_f1805337205on_val(produc1712663241on_val,A),A_3)),R_1))
        | ~ hBOOL(hAPP_f1297673713l_bool(hAPP_P240409993l_bool(member563141460on_val,hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A),B)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A_3),B_3))),lex_pr731210613on_val(R_1,S))) ) ),
    inference(fof_nnf,[status(thm)],[fact_390_in__lex__prod]) ).

fof(f_532_2,plain,
    ! [U_3226,U_3225,U_3224,U_3223,U_3222,U_3221] :
      ( ( hBOOL(hAPP_f1297673713l_bool(hAPP_P240409993l_bool(member563141460on_val,hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_3226),U_3225)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_3224),U_3223))),lex_pr731210613on_val(U_3222,U_3221)))
        | ( ( ~ hBOOL(hAPP_f1661305905l_bool(hAPP_P1878549513l_bool(member490182804on_val,hAPP_f1741070310on_val(hAPP_f864891091on_val(produc1960514199on_val,U_3225),U_3223)),U_3221))
            | U_3226 != U_3224 )
          & ~ hBOOL(hAPP_f1754555101l_bool(hAPP_P1679186017l_bool(member1337019328on_val,hAPP_f368284312on_val(hAPP_f1805337205on_val(produc1712663241on_val,U_3226),U_3224)),U_3222)) ) )
      & ( ( hBOOL(hAPP_f1661305905l_bool(hAPP_P1878549513l_bool(member490182804on_val,hAPP_f1741070310on_val(hAPP_f864891091on_val(produc1960514199on_val,U_3225),U_3223)),U_3221))
          & U_3226 = U_3224 )
        | hBOOL(hAPP_f1754555101l_bool(hAPP_P1679186017l_bool(member1337019328on_val,hAPP_f368284312on_val(hAPP_f1805337205on_val(produc1712663241on_val,U_3226),U_3224)),U_3222))
        | ~ hBOOL(hAPP_f1297673713l_bool(hAPP_P240409993l_bool(member563141460on_val,hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_3226),U_3225)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_3224),U_3223))),lex_pr731210613on_val(U_3222,U_3221))) ) ),
    inference(variable_rename,[status(thm)],[f_532_1]) ).

fof(f_532_3,plain,
    ( ! [U_3238,U_3236,U_3234,U_3232,U_3230,U_3228] :
        ( hBOOL(hAPP_f1297673713l_bool(hAPP_P240409993l_bool(member563141460on_val,hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_3238),U_3236)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_3234),U_3232))),lex_pr731210613on_val(U_3230,U_3228)))
        | ( ( ~ hBOOL(hAPP_f1661305905l_bool(hAPP_P1878549513l_bool(member490182804on_val,hAPP_f1741070310on_val(hAPP_f864891091on_val(produc1960514199on_val,U_3236),U_3232)),U_3228))
            | U_3238 != U_3234 )
          & ~ hBOOL(hAPP_f1754555101l_bool(hAPP_P1679186017l_bool(member1337019328on_val,hAPP_f368284312on_val(hAPP_f1805337205on_val(produc1712663241on_val,U_3238),U_3234)),U_3230)) ) )
    & ! [U_3237,U_3235,U_3233,U_3231,U_3229,U_3227] :
        ( ( hBOOL(hAPP_f1661305905l_bool(hAPP_P1878549513l_bool(member490182804on_val,hAPP_f1741070310on_val(hAPP_f864891091on_val(produc1960514199on_val,U_3235),U_3231)),U_3227))
          & U_3237 = U_3233 )
        | hBOOL(hAPP_f1754555101l_bool(hAPP_P1679186017l_bool(member1337019328on_val,hAPP_f368284312on_val(hAPP_f1805337205on_val(produc1712663241on_val,U_3237),U_3233)),U_3229))
        | ~ hBOOL(hAPP_f1297673713l_bool(hAPP_P240409993l_bool(member563141460on_val,hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_3237),U_3235)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_3233),U_3231))),lex_pr731210613on_val(U_3229,U_3227))) ) ),
    inference(miniscope,[status(thm)],[f_532_2]) ).

cnf(f_532_4,plain,
    ( U_3237 = U_3233
    | hBOOL(hAPP_f1754555101l_bool(hAPP_P1679186017l_bool(member1337019328on_val,hAPP_f368284312on_val(hAPP_f1805337205on_val(produc1712663241on_val,U_3237),U_3233)),U_3229))
    | ~ hBOOL(hAPP_f1297673713l_bool(hAPP_P240409993l_bool(member563141460on_val,hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_3237),U_3235)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_3233),U_3231))),lex_pr731210613on_val(U_3229,U_3227))) ),
    inference(clausify,[status(thm)],[f_532_3]) ).

cnf(f_532_5,plain,
    ( hBOOL(hAPP_f1661305905l_bool(hAPP_P1878549513l_bool(member490182804on_val,hAPP_f1741070310on_val(hAPP_f864891091on_val(produc1960514199on_val,U_3235),U_3231)),U_3227))
    | hBOOL(hAPP_f1754555101l_bool(hAPP_P1679186017l_bool(member1337019328on_val,hAPP_f368284312on_val(hAPP_f1805337205on_val(produc1712663241on_val,U_3237),U_3233)),U_3229))
    | ~ hBOOL(hAPP_f1297673713l_bool(hAPP_P240409993l_bool(member563141460on_val,hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_3237),U_3235)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_3233),U_3231))),lex_pr731210613on_val(U_3229,U_3227))) ),
    inference(clausify,[status(thm)],[f_532_3]) ).

cnf(f_532_6,plain,
    ( ~ hBOOL(hAPP_f1754555101l_bool(hAPP_P1679186017l_bool(member1337019328on_val,hAPP_f368284312on_val(hAPP_f1805337205on_val(produc1712663241on_val,U_3238),U_3234)),U_3230))
    | hBOOL(hAPP_f1297673713l_bool(hAPP_P240409993l_bool(member563141460on_val,hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_3238),U_3236)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_3234),U_3232))),lex_pr731210613on_val(U_3230,U_3228))) ),
    inference(clausify,[status(thm)],[f_532_3]) ).

cnf(f_532_7,plain,
    ( ~ hBOOL(hAPP_f1661305905l_bool(hAPP_P1878549513l_bool(member490182804on_val,hAPP_f1741070310on_val(hAPP_f864891091on_val(produc1960514199on_val,U_3236),U_3232)),U_3228))
    | U_3238 != U_3234
    | hBOOL(hAPP_f1297673713l_bool(hAPP_P240409993l_bool(member563141460on_val,hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_3238),U_3236)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_3234),U_3232))),lex_pr731210613on_val(U_3230,U_3228))) ),
    inference(clausify,[status(thm)],[f_532_3]) ).

fof(f_533_1,plain,
    ! [A,B,A_3,B_3,R_1,S] :
      ( ( hBOOL(hAPP_f1261741735l_bool(hAPP_P1362631157l_bool(member808015754on_val,hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A),B)),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_3),B_3))),lex_pr1038007919on_val(R_1,S)))
        | ( ( ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,B),B_3)),S))
            | A != A_3 )
          & ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A),A_3)),R_1)) ) )
      & ( ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,B),B_3)),S))
          & A = A_3 )
        | hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A),A_3)),R_1))
        | ~ hBOOL(hAPP_f1261741735l_bool(hAPP_P1362631157l_bool(member808015754on_val,hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A),B)),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_3),B_3))),lex_pr1038007919on_val(R_1,S))) ) ),
    inference(fof_nnf,[status(thm)],[fact_391_in__lex__prod]) ).

fof(f_533_2,plain,
    ! [U_3244,U_3243,U_3242,U_3241,U_3240,U_3239] :
      ( ( hBOOL(hAPP_f1261741735l_bool(hAPP_P1362631157l_bool(member808015754on_val,hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_3244),U_3243)),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_3242),U_3241))),lex_pr1038007919on_val(U_3240,U_3239)))
        | ( ( ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_3243),U_3241)),U_3239))
            | U_3244 != U_3242 )
          & ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_3244),U_3242)),U_3240)) ) )
      & ( ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_3243),U_3241)),U_3239))
          & U_3244 = U_3242 )
        | hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_3244),U_3242)),U_3240))
        | ~ hBOOL(hAPP_f1261741735l_bool(hAPP_P1362631157l_bool(member808015754on_val,hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_3244),U_3243)),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_3242),U_3241))),lex_pr1038007919on_val(U_3240,U_3239))) ) ),
    inference(variable_rename,[status(thm)],[f_533_1]) ).

fof(f_533_3,plain,
    ( ! [U_3256,U_3254,U_3252,U_3250,U_3248,U_3246] :
        ( hBOOL(hAPP_f1261741735l_bool(hAPP_P1362631157l_bool(member808015754on_val,hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_3256),U_3254)),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_3252),U_3250))),lex_pr1038007919on_val(U_3248,U_3246)))
        | ( ( ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_3254),U_3250)),U_3246))
            | U_3256 != U_3252 )
          & ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_3256),U_3252)),U_3248)) ) )
    & ! [U_3255,U_3253,U_3251,U_3249,U_3247,U_3245] :
        ( ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_3253),U_3249)),U_3245))
          & U_3255 = U_3251 )
        | hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_3255),U_3251)),U_3247))
        | ~ hBOOL(hAPP_f1261741735l_bool(hAPP_P1362631157l_bool(member808015754on_val,hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_3255),U_3253)),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_3251),U_3249))),lex_pr1038007919on_val(U_3247,U_3245))) ) ),
    inference(miniscope,[status(thm)],[f_533_2]) ).

cnf(f_533_4,plain,
    ( U_3255 = U_3251
    | hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_3255),U_3251)),U_3247))
    | ~ hBOOL(hAPP_f1261741735l_bool(hAPP_P1362631157l_bool(member808015754on_val,hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_3255),U_3253)),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_3251),U_3249))),lex_pr1038007919on_val(U_3247,U_3245))) ),
    inference(clausify,[status(thm)],[f_533_3]) ).

cnf(f_533_5,plain,
    ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_3253),U_3249)),U_3245))
    | hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_3255),U_3251)),U_3247))
    | ~ hBOOL(hAPP_f1261741735l_bool(hAPP_P1362631157l_bool(member808015754on_val,hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_3255),U_3253)),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_3251),U_3249))),lex_pr1038007919on_val(U_3247,U_3245))) ),
    inference(clausify,[status(thm)],[f_533_3]) ).

cnf(f_533_6,plain,
    ( ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_3256),U_3252)),U_3248))
    | hBOOL(hAPP_f1261741735l_bool(hAPP_P1362631157l_bool(member808015754on_val,hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_3256),U_3254)),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_3252),U_3250))),lex_pr1038007919on_val(U_3248,U_3246))) ),
    inference(clausify,[status(thm)],[f_533_3]) ).

cnf(f_533_7,plain,
    ( ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_3254),U_3250)),U_3246))
    | U_3256 != U_3252
    | hBOOL(hAPP_f1261741735l_bool(hAPP_P1362631157l_bool(member808015754on_val,hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_3256),U_3254)),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_3252),U_3250))),lex_pr1038007919on_val(U_3248,U_3246))) ),
    inference(clausify,[status(thm)],[f_533_3]) ).

fof(f_534_1,plain,
    ! [F1,A,B] :
      ( hBOOL(hAPP_P2014166431r_bool(hAPP_f1484794973r_bool(produc1732333873r_bool,F1),hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,A),B)))
      | ~ hBOOL(hAPP_e544220455r_bool(hAPP_l214204733r_bool(F1,A),B)) ),
    inference(fof_nnf,[status(thm)],[fact_392_prod__caseI]) ).

fof(f_534_2,plain,
    ! [U_3259,U_3258,U_3257] :
      ( hBOOL(hAPP_P2014166431r_bool(hAPP_f1484794973r_bool(produc1732333873r_bool,U_3259),hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_3258),U_3257)))
      | ~ hBOOL(hAPP_e544220455r_bool(hAPP_l214204733r_bool(U_3259,U_3258),U_3257)) ),
    inference(variable_rename,[status(thm)],[f_534_1]) ).

cnf(f_534_3,plain,
    ( hBOOL(hAPP_P2014166431r_bool(hAPP_f1484794973r_bool(produc1732333873r_bool,U_3259),hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_3258),U_3257)))
    | ~ hBOOL(hAPP_e544220455r_bool(hAPP_l214204733r_bool(U_3259,U_3258),U_3257)) ),
    inference(clausify,[status(thm)],[f_534_2]) ).

fof(f_535_1,plain,
    ! [F1,A,B] :
      ( hBOOL(hAPP_P828904212r_bool(hAPP_f895126887r_bool(produc1596557472r_bool,F1),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,A),B)))
      | ~ hBOOL(hAPP_l902158906r_bool(hAPP_l24694616r_bool(F1,A),B)) ),
    inference(fof_nnf,[status(thm)],[fact_393_prod__caseI]) ).

fof(f_535_2,plain,
    ! [U_3262,U_3261,U_3260] :
      ( hBOOL(hAPP_P828904212r_bool(hAPP_f895126887r_bool(produc1596557472r_bool,U_3262),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_3261),U_3260)))
      | ~ hBOOL(hAPP_l902158906r_bool(hAPP_l24694616r_bool(U_3262,U_3261),U_3260)) ),
    inference(variable_rename,[status(thm)],[f_535_1]) ).

cnf(f_535_3,plain,
    ( hBOOL(hAPP_P828904212r_bool(hAPP_f895126887r_bool(produc1596557472r_bool,U_3262),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_3261),U_3260)))
    | ~ hBOOL(hAPP_l902158906r_bool(hAPP_l24694616r_bool(U_3262,U_3261),U_3260)) ),
    inference(clausify,[status(thm)],[f_535_2]) ).

fof(f_536_1,plain,
    ! [F1,A,B] :
      ( hBOOL(hAPP_P659547099r_bool(hAPP_f252398939r_bool(produc1324280167r_bool,F1),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,A),B)))
      | ~ hBOOL(hAPP_P828904212r_bool(hAPP_l1342015621r_bool(F1,A),B)) ),
    inference(fof_nnf,[status(thm)],[fact_394_prod__caseI]) ).

fof(f_536_2,plain,
    ! [U_3265,U_3264,U_3263] :
      ( hBOOL(hAPP_P659547099r_bool(hAPP_f252398939r_bool(produc1324280167r_bool,U_3265),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_3264),U_3263)))
      | ~ hBOOL(hAPP_P828904212r_bool(hAPP_l1342015621r_bool(U_3265,U_3264),U_3263)) ),
    inference(variable_rename,[status(thm)],[f_536_1]) ).

cnf(f_536_3,plain,
    ( hBOOL(hAPP_P659547099r_bool(hAPP_f252398939r_bool(produc1324280167r_bool,U_3265),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_3264),U_3263)))
    | ~ hBOOL(hAPP_P828904212r_bool(hAPP_l1342015621r_bool(U_3265,U_3264),U_3263)) ),
    inference(clausify,[status(thm)],[f_536_2]) ).

fof(f_537_1,plain,
    ! [F1,A,B] :
      ( hBOOL(hAPP_P1680401186r_bool(hAPP_f952817385r_bool(produc723279022r_bool,F1),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,A),B)))
      | ~ hBOOL(hAPP_P659547099r_bool(hAPP_l2140727500r_bool(F1,A),B)) ),
    inference(fof_nnf,[status(thm)],[fact_395_prod__caseI]) ).

fof(f_537_2,plain,
    ! [U_3268,U_3267,U_3266] :
      ( hBOOL(hAPP_P1680401186r_bool(hAPP_f952817385r_bool(produc723279022r_bool,U_3268),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_3267),U_3266)))
      | ~ hBOOL(hAPP_P659547099r_bool(hAPP_l2140727500r_bool(U_3268,U_3267),U_3266)) ),
    inference(variable_rename,[status(thm)],[f_537_1]) ).

cnf(f_537_3,plain,
    ( hBOOL(hAPP_P1680401186r_bool(hAPP_f952817385r_bool(produc723279022r_bool,U_3268),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_3267),U_3266)))
    | ~ hBOOL(hAPP_P659547099r_bool(hAPP_l2140727500r_bool(U_3268,U_3267),U_3266)) ),
    inference(clausify,[status(thm)],[f_537_2]) ).

fof(f_538_1,plain,
    ! [F1,A,B] :
      ( hBOOL(hAPP_P2118621157r_bool(hAPP_f1697332217r_bool(produc21910851r_bool,F1),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,A),B)))
      | ~ hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(F1,A),B)) ),
    inference(fof_nnf,[status(thm)],[fact_396_prod__caseI]) ).

fof(f_538_2,plain,
    ! [U_3271,U_3270,U_3269] :
      ( hBOOL(hAPP_P2118621157r_bool(hAPP_f1697332217r_bool(produc21910851r_bool,U_3271),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_3270),U_3269)))
      | ~ hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(U_3271,U_3270),U_3269)) ),
    inference(variable_rename,[status(thm)],[f_538_1]) ).

cnf(f_538_3,plain,
    ( hBOOL(hAPP_P2118621157r_bool(hAPP_f1697332217r_bool(produc21910851r_bool,U_3271),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_3270),U_3269)))
    | ~ hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(U_3271,U_3270),U_3269)) ),
    inference(clausify,[status(thm)],[f_538_2]) ).

fof(f_539_1,plain,
    ! [F1,A,B] :
      ( hBOOL(hAPP_P1907982426r_bool(hAPP_f102021095r_bool(produc154616760r_bool,F1),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,A),B)))
      | ~ hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(F1,A),B)) ),
    inference(fof_nnf,[status(thm)],[fact_397_prod__caseI]) ).

fof(f_539_2,plain,
    ! [U_3274,U_3273,U_3272] :
      ( hBOOL(hAPP_P1907982426r_bool(hAPP_f102021095r_bool(produc154616760r_bool,U_3274),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_3273),U_3272)))
      | ~ hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(U_3274,U_3273),U_3272)) ),
    inference(variable_rename,[status(thm)],[f_539_1]) ).

cnf(f_539_3,plain,
    ( hBOOL(hAPP_P1907982426r_bool(hAPP_f102021095r_bool(produc154616760r_bool,U_3274),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_3273),U_3272)))
    | ~ hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(U_3274,U_3273),U_3272)) ),
    inference(clausify,[status(thm)],[f_539_2]) ).

fof(f_540_1,plain,
    ! [F1,A,B] :
      ( hBOOL(hAPP_P92196306r_bool(hAPP_f1613448899r_bool(produc2027921764r_bool,F1),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,A),B)))
      | ~ hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(F1,A),B)) ),
    inference(fof_nnf,[status(thm)],[fact_398_prod__caseI]) ).

fof(f_540_2,plain,
    ! [U_3277,U_3276,U_3275] :
      ( hBOOL(hAPP_P92196306r_bool(hAPP_f1613448899r_bool(produc2027921764r_bool,U_3277),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_3276),U_3275)))
      | ~ hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(U_3277,U_3276),U_3275)) ),
    inference(variable_rename,[status(thm)],[f_540_1]) ).

cnf(f_540_3,plain,
    ( hBOOL(hAPP_P92196306r_bool(hAPP_f1613448899r_bool(produc2027921764r_bool,U_3277),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_3276),U_3275)))
    | ~ hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(U_3277,U_3276),U_3275)) ),
    inference(clausify,[status(thm)],[f_540_2]) ).

fof(f_541_1,plain,
    ! [F1,A,B] :
      ( hBOOL(hAPP_P71593144l_bool(hAPP_f1634841927l_bool(produc1491230096l_bool,F1),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,A),B)))
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(F1,A),B)) ),
    inference(fof_nnf,[status(thm)],[fact_399_prod__caseI]) ).

fof(f_541_2,plain,
    ! [U_3280,U_3279,U_3278] :
      ( hBOOL(hAPP_P71593144l_bool(hAPP_f1634841927l_bool(produc1491230096l_bool,U_3280),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_3279),U_3278)))
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(U_3280,U_3279),U_3278)) ),
    inference(variable_rename,[status(thm)],[f_541_1]) ).

cnf(f_541_3,plain,
    ( hBOOL(hAPP_P71593144l_bool(hAPP_f1634841927l_bool(produc1491230096l_bool,U_3280),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_3279),U_3278)))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(U_3280,U_3279),U_3278)) ),
    inference(clausify,[status(thm)],[f_541_2]) ).

fof(f_542_1,plain,
    ! [F1,A,B] :
      ( hBOOL(hAPP_P1333315679l_bool(hAPP_f1525114763l_bool(produc70644925l_bool,F1),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A),B)))
      | ~ hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(F1,A),B)) ),
    inference(fof_nnf,[status(thm)],[fact_400_prod__caseI]) ).

fof(f_542_2,plain,
    ! [U_3283,U_3282,U_3281] :
      ( hBOOL(hAPP_P1333315679l_bool(hAPP_f1525114763l_bool(produc70644925l_bool,U_3283),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_3282),U_3281)))
      | ~ hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(U_3283,U_3282),U_3281)) ),
    inference(variable_rename,[status(thm)],[f_542_1]) ).

cnf(f_542_3,plain,
    ( hBOOL(hAPP_P1333315679l_bool(hAPP_f1525114763l_bool(produc70644925l_bool,U_3283),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_3282),U_3281)))
    | ~ hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(U_3283,U_3282),U_3281)) ),
    inference(clausify,[status(thm)],[f_542_2]) ).

fof(f_543_1,plain,
    ! [F1,A,B] :
      ( hBOOL(hAPP_P929938951l_bool(hAPP_f1534412387l_bool(produc769963999l_bool,F1),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A),B)))
      | ~ hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(F1,A),B)) ),
    inference(fof_nnf,[status(thm)],[fact_401_prod__caseI]) ).

fof(f_543_2,plain,
    ! [U_3286,U_3285,U_3284] :
      ( hBOOL(hAPP_P929938951l_bool(hAPP_f1534412387l_bool(produc769963999l_bool,U_3286),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_3285),U_3284)))
      | ~ hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(U_3286,U_3285),U_3284)) ),
    inference(variable_rename,[status(thm)],[f_543_1]) ).

cnf(f_543_3,plain,
    ( hBOOL(hAPP_P929938951l_bool(hAPP_f1534412387l_bool(produc769963999l_bool,U_3286),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_3285),U_3284)))
    | ~ hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(U_3286,U_3285),U_3284)) ),
    inference(clausify,[status(thm)],[f_543_2]) ).

fof(f_544_1,plain,
    ! [F1,A,B] :
      ( hBOOL(hAPP_P943837928l_bool(hAPP_f340876351l_bool(produc1326056646l_bool,F1),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,A),B)))
      | ~ hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(F1,A),B)) ),
    inference(fof_nnf,[status(thm)],[fact_402_prod__caseI]) ).

fof(f_544_2,plain,
    ! [U_3289,U_3288,U_3287] :
      ( hBOOL(hAPP_P943837928l_bool(hAPP_f340876351l_bool(produc1326056646l_bool,U_3289),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_3288),U_3287)))
      | ~ hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(U_3289,U_3288),U_3287)) ),
    inference(variable_rename,[status(thm)],[f_544_1]) ).

cnf(f_544_3,plain,
    ( hBOOL(hAPP_P943837928l_bool(hAPP_f340876351l_bool(produc1326056646l_bool,U_3289),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_3288),U_3287)))
    | ~ hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(U_3289,U_3288),U_3287)) ),
    inference(clausify,[status(thm)],[f_544_2]) ).

fof(f_545_1,plain,
    ! [F1,A,B] :
      ( hBOOL(hAPP_P449474095r_bool(hAPP_f2132060507r_bool(produc1704639885r_bool,F1),hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A),B)))
      | ~ hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(F1,A),B)) ),
    inference(fof_nnf,[status(thm)],[fact_403_prod__caseI]) ).

fof(f_545_2,plain,
    ! [U_3292,U_3291,U_3290] :
      ( hBOOL(hAPP_P449474095r_bool(hAPP_f2132060507r_bool(produc1704639885r_bool,U_3292),hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_3291),U_3290)))
      | ~ hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(U_3292,U_3291),U_3290)) ),
    inference(variable_rename,[status(thm)],[f_545_1]) ).

cnf(f_545_3,plain,
    ( hBOOL(hAPP_P449474095r_bool(hAPP_f2132060507r_bool(produc1704639885r_bool,U_3292),hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_3291),U_3290)))
    | ~ hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(U_3292,U_3291),U_3290)) ),
    inference(clausify,[status(thm)],[f_545_2]) ).

fof(f_546_1,plain,
    ! [F1,A,B] :
      ( hBOOL(hAPP_P1235399154l_bool(hAPP_f1443410953l_bool(produc392960766l_bool,F1),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,A),B)))
      | ~ hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(F1,A),B)) ),
    inference(fof_nnf,[status(thm)],[fact_404_prod__caseI]) ).

fof(f_546_2,plain,
    ! [U_3295,U_3294,U_3293] :
      ( hBOOL(hAPP_P1235399154l_bool(hAPP_f1443410953l_bool(produc392960766l_bool,U_3295),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_3294),U_3293)))
      | ~ hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(U_3295,U_3294),U_3293)) ),
    inference(variable_rename,[status(thm)],[f_546_1]) ).

cnf(f_546_3,plain,
    ( hBOOL(hAPP_P1235399154l_bool(hAPP_f1443410953l_bool(produc392960766l_bool,U_3295),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_3294),U_3293)))
    | ~ hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(U_3295,U_3294),U_3293)) ),
    inference(clausify,[status(thm)],[f_546_2]) ).

fof(f_547_1,plain,
    ! [F1,A,B] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,F1),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A),B)))
      | ~ hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(F1,A),B)) ),
    inference(fof_nnf,[status(thm)],[fact_405_prod__caseI]) ).

fof(f_547_2,plain,
    ! [U_3298,U_3297,U_3296] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,U_3298),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_3297),U_3296)))
      | ~ hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(U_3298,U_3297),U_3296)) ),
    inference(variable_rename,[status(thm)],[f_547_1]) ).

cnf(f_547_3,plain,
    ( hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,U_3298),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_3297),U_3296)))
    | ~ hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(U_3298,U_3297),U_3296)) ),
    inference(clausify,[status(thm)],[f_547_2]) ).

fof(f_548_1,plain,
    ! [F1,A,B] :
      ( hBOOL(hAPP_P1708370145l_bool(hAPP_f1930574389l_bool(produc1815960045l_bool,F1),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A),B)))
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(F1,A),B)) ),
    inference(fof_nnf,[status(thm)],[fact_406_prod__caseI]) ).

fof(f_548_2,plain,
    ! [U_3301,U_3300,U_3299] :
      ( hBOOL(hAPP_P1708370145l_bool(hAPP_f1930574389l_bool(produc1815960045l_bool,U_3301),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_3300),U_3299)))
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(U_3301,U_3300),U_3299)) ),
    inference(variable_rename,[status(thm)],[f_548_1]) ).

cnf(f_548_3,plain,
    ( hBOOL(hAPP_P1708370145l_bool(hAPP_f1930574389l_bool(produc1815960045l_bool,U_3301),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_3300),U_3299)))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(U_3301,U_3300),U_3299)) ),
    inference(clausify,[status(thm)],[f_548_2]) ).

fof(f_549_1,plain,
    ! [F1,A,B] :
      ( hBOOL(hAPP_P282169671l_bool(hAPP_f635218277l_bool(produc1911463199l_bool,F1),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A),B)))
      | ~ hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(F1,A),B)) ),
    inference(fof_nnf,[status(thm)],[fact_407_prod__caseI]) ).

fof(f_549_2,plain,
    ! [U_3304,U_3303,U_3302] :
      ( hBOOL(hAPP_P282169671l_bool(hAPP_f635218277l_bool(produc1911463199l_bool,U_3304),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_3303),U_3302)))
      | ~ hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(U_3304,U_3303),U_3302)) ),
    inference(variable_rename,[status(thm)],[f_549_1]) ).

cnf(f_549_3,plain,
    ( hBOOL(hAPP_P282169671l_bool(hAPP_f635218277l_bool(produc1911463199l_bool,U_3304),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_3303),U_3302)))
    | ~ hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(U_3304,U_3303),U_3302)) ),
    inference(clausify,[status(thm)],[f_549_2]) ).

fof(f_550_1,plain,
    ! [F_1,A,B] :
      ( hBOOL(hAPP_P2014166431r_bool(hAPP_f1484794973r_bool(produc1732333873r_bool,F_1),hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,A),B)))
      | ~ hBOOL(hAPP_e544220455r_bool(hAPP_l214204733r_bool(F_1,A),B)) ),
    inference(fof_nnf,[status(thm)],[fact_408_splitI]) ).

fof(f_550_2,plain,
    ! [U_3307,U_3306,U_3305] :
      ( hBOOL(hAPP_P2014166431r_bool(hAPP_f1484794973r_bool(produc1732333873r_bool,U_3307),hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_3306),U_3305)))
      | ~ hBOOL(hAPP_e544220455r_bool(hAPP_l214204733r_bool(U_3307,U_3306),U_3305)) ),
    inference(variable_rename,[status(thm)],[f_550_1]) ).

cnf(f_550_3,plain,
    ( hBOOL(hAPP_P2014166431r_bool(hAPP_f1484794973r_bool(produc1732333873r_bool,U_3307),hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_3306),U_3305)))
    | ~ hBOOL(hAPP_e544220455r_bool(hAPP_l214204733r_bool(U_3307,U_3306),U_3305)) ),
    inference(clausify,[status(thm)],[f_550_2]) ).

fof(f_551_1,plain,
    ! [F_1,A,B] :
      ( hBOOL(hAPP_P828904212r_bool(hAPP_f895126887r_bool(produc1596557472r_bool,F_1),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,A),B)))
      | ~ hBOOL(hAPP_l902158906r_bool(hAPP_l24694616r_bool(F_1,A),B)) ),
    inference(fof_nnf,[status(thm)],[fact_409_splitI]) ).

fof(f_551_2,plain,
    ! [U_3310,U_3309,U_3308] :
      ( hBOOL(hAPP_P828904212r_bool(hAPP_f895126887r_bool(produc1596557472r_bool,U_3310),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_3309),U_3308)))
      | ~ hBOOL(hAPP_l902158906r_bool(hAPP_l24694616r_bool(U_3310,U_3309),U_3308)) ),
    inference(variable_rename,[status(thm)],[f_551_1]) ).

cnf(f_551_3,plain,
    ( hBOOL(hAPP_P828904212r_bool(hAPP_f895126887r_bool(produc1596557472r_bool,U_3310),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_3309),U_3308)))
    | ~ hBOOL(hAPP_l902158906r_bool(hAPP_l24694616r_bool(U_3310,U_3309),U_3308)) ),
    inference(clausify,[status(thm)],[f_551_2]) ).

fof(f_552_1,plain,
    ! [F_1,A,B] :
      ( hBOOL(hAPP_P659547099r_bool(hAPP_f252398939r_bool(produc1324280167r_bool,F_1),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,A),B)))
      | ~ hBOOL(hAPP_P828904212r_bool(hAPP_l1342015621r_bool(F_1,A),B)) ),
    inference(fof_nnf,[status(thm)],[fact_410_splitI]) ).

fof(f_552_2,plain,
    ! [U_3313,U_3312,U_3311] :
      ( hBOOL(hAPP_P659547099r_bool(hAPP_f252398939r_bool(produc1324280167r_bool,U_3313),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_3312),U_3311)))
      | ~ hBOOL(hAPP_P828904212r_bool(hAPP_l1342015621r_bool(U_3313,U_3312),U_3311)) ),
    inference(variable_rename,[status(thm)],[f_552_1]) ).

cnf(f_552_3,plain,
    ( hBOOL(hAPP_P659547099r_bool(hAPP_f252398939r_bool(produc1324280167r_bool,U_3313),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_3312),U_3311)))
    | ~ hBOOL(hAPP_P828904212r_bool(hAPP_l1342015621r_bool(U_3313,U_3312),U_3311)) ),
    inference(clausify,[status(thm)],[f_552_2]) ).

fof(f_553_1,plain,
    ! [F_1,A,B] :
      ( hBOOL(hAPP_P1680401186r_bool(hAPP_f952817385r_bool(produc723279022r_bool,F_1),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,A),B)))
      | ~ hBOOL(hAPP_P659547099r_bool(hAPP_l2140727500r_bool(F_1,A),B)) ),
    inference(fof_nnf,[status(thm)],[fact_411_splitI]) ).

fof(f_553_2,plain,
    ! [U_3316,U_3315,U_3314] :
      ( hBOOL(hAPP_P1680401186r_bool(hAPP_f952817385r_bool(produc723279022r_bool,U_3316),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_3315),U_3314)))
      | ~ hBOOL(hAPP_P659547099r_bool(hAPP_l2140727500r_bool(U_3316,U_3315),U_3314)) ),
    inference(variable_rename,[status(thm)],[f_553_1]) ).

cnf(f_553_3,plain,
    ( hBOOL(hAPP_P1680401186r_bool(hAPP_f952817385r_bool(produc723279022r_bool,U_3316),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_3315),U_3314)))
    | ~ hBOOL(hAPP_P659547099r_bool(hAPP_l2140727500r_bool(U_3316,U_3315),U_3314)) ),
    inference(clausify,[status(thm)],[f_553_2]) ).

fof(f_554_1,plain,
    ! [F_1,A,B] :
      ( hBOOL(hAPP_P2118621157r_bool(hAPP_f1697332217r_bool(produc21910851r_bool,F_1),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,A),B)))
      | ~ hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(F_1,A),B)) ),
    inference(fof_nnf,[status(thm)],[fact_412_splitI]) ).

fof(f_554_2,plain,
    ! [U_3319,U_3318,U_3317] :
      ( hBOOL(hAPP_P2118621157r_bool(hAPP_f1697332217r_bool(produc21910851r_bool,U_3319),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_3318),U_3317)))
      | ~ hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(U_3319,U_3318),U_3317)) ),
    inference(variable_rename,[status(thm)],[f_554_1]) ).

cnf(f_554_3,plain,
    ( hBOOL(hAPP_P2118621157r_bool(hAPP_f1697332217r_bool(produc21910851r_bool,U_3319),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_3318),U_3317)))
    | ~ hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(U_3319,U_3318),U_3317)) ),
    inference(clausify,[status(thm)],[f_554_2]) ).

fof(f_555_1,plain,
    ! [F_1,A,B] :
      ( hBOOL(hAPP_P1907982426r_bool(hAPP_f102021095r_bool(produc154616760r_bool,F_1),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,A),B)))
      | ~ hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(F_1,A),B)) ),
    inference(fof_nnf,[status(thm)],[fact_413_splitI]) ).

fof(f_555_2,plain,
    ! [U_3322,U_3321,U_3320] :
      ( hBOOL(hAPP_P1907982426r_bool(hAPP_f102021095r_bool(produc154616760r_bool,U_3322),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_3321),U_3320)))
      | ~ hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(U_3322,U_3321),U_3320)) ),
    inference(variable_rename,[status(thm)],[f_555_1]) ).

cnf(f_555_3,plain,
    ( hBOOL(hAPP_P1907982426r_bool(hAPP_f102021095r_bool(produc154616760r_bool,U_3322),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_3321),U_3320)))
    | ~ hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(U_3322,U_3321),U_3320)) ),
    inference(clausify,[status(thm)],[f_555_2]) ).

fof(f_556_1,plain,
    ! [F_1,A,B] :
      ( hBOOL(hAPP_P92196306r_bool(hAPP_f1613448899r_bool(produc2027921764r_bool,F_1),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,A),B)))
      | ~ hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(F_1,A),B)) ),
    inference(fof_nnf,[status(thm)],[fact_414_splitI]) ).

fof(f_556_2,plain,
    ! [U_3325,U_3324,U_3323] :
      ( hBOOL(hAPP_P92196306r_bool(hAPP_f1613448899r_bool(produc2027921764r_bool,U_3325),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_3324),U_3323)))
      | ~ hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(U_3325,U_3324),U_3323)) ),
    inference(variable_rename,[status(thm)],[f_556_1]) ).

cnf(f_556_3,plain,
    ( hBOOL(hAPP_P92196306r_bool(hAPP_f1613448899r_bool(produc2027921764r_bool,U_3325),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_3324),U_3323)))
    | ~ hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(U_3325,U_3324),U_3323)) ),
    inference(clausify,[status(thm)],[f_556_2]) ).

fof(f_557_1,plain,
    ! [F_1,A,B] :
      ( hBOOL(hAPP_P71593144l_bool(hAPP_f1634841927l_bool(produc1491230096l_bool,F_1),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,A),B)))
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(F_1,A),B)) ),
    inference(fof_nnf,[status(thm)],[fact_415_splitI]) ).

fof(f_557_2,plain,
    ! [U_3328,U_3327,U_3326] :
      ( hBOOL(hAPP_P71593144l_bool(hAPP_f1634841927l_bool(produc1491230096l_bool,U_3328),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_3327),U_3326)))
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(U_3328,U_3327),U_3326)) ),
    inference(variable_rename,[status(thm)],[f_557_1]) ).

cnf(f_557_3,plain,
    ( hBOOL(hAPP_P71593144l_bool(hAPP_f1634841927l_bool(produc1491230096l_bool,U_3328),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_3327),U_3326)))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(U_3328,U_3327),U_3326)) ),
    inference(clausify,[status(thm)],[f_557_2]) ).

fof(f_558_1,plain,
    ! [F_1,A,B] :
      ( hBOOL(hAPP_P1333315679l_bool(hAPP_f1525114763l_bool(produc70644925l_bool,F_1),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A),B)))
      | ~ hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(F_1,A),B)) ),
    inference(fof_nnf,[status(thm)],[fact_416_splitI]) ).

fof(f_558_2,plain,
    ! [U_3331,U_3330,U_3329] :
      ( hBOOL(hAPP_P1333315679l_bool(hAPP_f1525114763l_bool(produc70644925l_bool,U_3331),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_3330),U_3329)))
      | ~ hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(U_3331,U_3330),U_3329)) ),
    inference(variable_rename,[status(thm)],[f_558_1]) ).

cnf(f_558_3,plain,
    ( hBOOL(hAPP_P1333315679l_bool(hAPP_f1525114763l_bool(produc70644925l_bool,U_3331),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_3330),U_3329)))
    | ~ hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(U_3331,U_3330),U_3329)) ),
    inference(clausify,[status(thm)],[f_558_2]) ).

fof(f_559_1,plain,
    ! [F_1,A,B] :
      ( hBOOL(hAPP_P929938951l_bool(hAPP_f1534412387l_bool(produc769963999l_bool,F_1),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A),B)))
      | ~ hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(F_1,A),B)) ),
    inference(fof_nnf,[status(thm)],[fact_417_splitI]) ).

fof(f_559_2,plain,
    ! [U_3334,U_3333,U_3332] :
      ( hBOOL(hAPP_P929938951l_bool(hAPP_f1534412387l_bool(produc769963999l_bool,U_3334),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_3333),U_3332)))
      | ~ hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(U_3334,U_3333),U_3332)) ),
    inference(variable_rename,[status(thm)],[f_559_1]) ).

cnf(f_559_3,plain,
    ( hBOOL(hAPP_P929938951l_bool(hAPP_f1534412387l_bool(produc769963999l_bool,U_3334),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_3333),U_3332)))
    | ~ hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(U_3334,U_3333),U_3332)) ),
    inference(clausify,[status(thm)],[f_559_2]) ).

fof(f_560_1,plain,
    ! [F_1,A,B] :
      ( hBOOL(hAPP_P943837928l_bool(hAPP_f340876351l_bool(produc1326056646l_bool,F_1),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,A),B)))
      | ~ hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(F_1,A),B)) ),
    inference(fof_nnf,[status(thm)],[fact_418_splitI]) ).

fof(f_560_2,plain,
    ! [U_3337,U_3336,U_3335] :
      ( hBOOL(hAPP_P943837928l_bool(hAPP_f340876351l_bool(produc1326056646l_bool,U_3337),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_3336),U_3335)))
      | ~ hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(U_3337,U_3336),U_3335)) ),
    inference(variable_rename,[status(thm)],[f_560_1]) ).

cnf(f_560_3,plain,
    ( hBOOL(hAPP_P943837928l_bool(hAPP_f340876351l_bool(produc1326056646l_bool,U_3337),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_3336),U_3335)))
    | ~ hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(U_3337,U_3336),U_3335)) ),
    inference(clausify,[status(thm)],[f_560_2]) ).

fof(f_561_1,plain,
    ! [F_1,A,B] :
      ( hBOOL(hAPP_P449474095r_bool(hAPP_f2132060507r_bool(produc1704639885r_bool,F_1),hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A),B)))
      | ~ hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(F_1,A),B)) ),
    inference(fof_nnf,[status(thm)],[fact_419_splitI]) ).

fof(f_561_2,plain,
    ! [U_3340,U_3339,U_3338] :
      ( hBOOL(hAPP_P449474095r_bool(hAPP_f2132060507r_bool(produc1704639885r_bool,U_3340),hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_3339),U_3338)))
      | ~ hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(U_3340,U_3339),U_3338)) ),
    inference(variable_rename,[status(thm)],[f_561_1]) ).

cnf(f_561_3,plain,
    ( hBOOL(hAPP_P449474095r_bool(hAPP_f2132060507r_bool(produc1704639885r_bool,U_3340),hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_3339),U_3338)))
    | ~ hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(U_3340,U_3339),U_3338)) ),
    inference(clausify,[status(thm)],[f_561_2]) ).

fof(f_562_1,plain,
    ! [F_1,A,B] :
      ( hBOOL(hAPP_P1235399154l_bool(hAPP_f1443410953l_bool(produc392960766l_bool,F_1),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,A),B)))
      | ~ hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(F_1,A),B)) ),
    inference(fof_nnf,[status(thm)],[fact_420_splitI]) ).

fof(f_562_2,plain,
    ! [U_3343,U_3342,U_3341] :
      ( hBOOL(hAPP_P1235399154l_bool(hAPP_f1443410953l_bool(produc392960766l_bool,U_3343),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_3342),U_3341)))
      | ~ hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(U_3343,U_3342),U_3341)) ),
    inference(variable_rename,[status(thm)],[f_562_1]) ).

cnf(f_562_3,plain,
    ( hBOOL(hAPP_P1235399154l_bool(hAPP_f1443410953l_bool(produc392960766l_bool,U_3343),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_3342),U_3341)))
    | ~ hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(U_3343,U_3342),U_3341)) ),
    inference(clausify,[status(thm)],[f_562_2]) ).

fof(f_563_1,plain,
    ! [F_1,A,B] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,F_1),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A),B)))
      | ~ hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(F_1,A),B)) ),
    inference(fof_nnf,[status(thm)],[fact_421_splitI]) ).

fof(f_563_2,plain,
    ! [U_3346,U_3345,U_3344] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,U_3346),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_3345),U_3344)))
      | ~ hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(U_3346,U_3345),U_3344)) ),
    inference(variable_rename,[status(thm)],[f_563_1]) ).

cnf(f_563_3,plain,
    ( hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,U_3346),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_3345),U_3344)))
    | ~ hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(U_3346,U_3345),U_3344)) ),
    inference(clausify,[status(thm)],[f_563_2]) ).

fof(f_564_1,plain,
    ! [F_1,A,B] :
      ( hBOOL(hAPP_P1708370145l_bool(hAPP_f1930574389l_bool(produc1815960045l_bool,F_1),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A),B)))
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(F_1,A),B)) ),
    inference(fof_nnf,[status(thm)],[fact_422_splitI]) ).

fof(f_564_2,plain,
    ! [U_3349,U_3348,U_3347] :
      ( hBOOL(hAPP_P1708370145l_bool(hAPP_f1930574389l_bool(produc1815960045l_bool,U_3349),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_3348),U_3347)))
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(U_3349,U_3348),U_3347)) ),
    inference(variable_rename,[status(thm)],[f_564_1]) ).

cnf(f_564_3,plain,
    ( hBOOL(hAPP_P1708370145l_bool(hAPP_f1930574389l_bool(produc1815960045l_bool,U_3349),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_3348),U_3347)))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(U_3349,U_3348),U_3347)) ),
    inference(clausify,[status(thm)],[f_564_2]) ).

fof(f_565_1,plain,
    ! [F_1,A,B] :
      ( hBOOL(hAPP_P282169671l_bool(hAPP_f635218277l_bool(produc1911463199l_bool,F_1),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A),B)))
      | ~ hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(F_1,A),B)) ),
    inference(fof_nnf,[status(thm)],[fact_423_splitI]) ).

fof(f_565_2,plain,
    ! [U_3352,U_3351,U_3350] :
      ( hBOOL(hAPP_P282169671l_bool(hAPP_f635218277l_bool(produc1911463199l_bool,U_3352),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_3351),U_3350)))
      | ~ hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(U_3352,U_3351),U_3350)) ),
    inference(variable_rename,[status(thm)],[f_565_1]) ).

cnf(f_565_3,plain,
    ( hBOOL(hAPP_P282169671l_bool(hAPP_f635218277l_bool(produc1911463199l_bool,U_3352),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_3351),U_3350)))
    | ~ hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(U_3352,U_3351),U_3350)) ),
    inference(clausify,[status(thm)],[f_565_2]) ).

fof(f_566_1,plain,
    ! [L1,M_1,L2] :
      ( hAPP_n546249108on_val(map_ad61982421on_val(L1,L2),M_1) = hAPP_n546249108on_val(L2,M_1)
      | ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,M_1),dom_na996029170on_val(L2))) ),
    inference(fof_nnf,[status(thm)],[fact_424_map__add__dom__app__simps_I1_J]) ).

fof(f_566_2,plain,
    ! [U_3355,U_3354,U_3353] :
      ( hAPP_n546249108on_val(map_ad61982421on_val(U_3355,U_3353),U_3354) = hAPP_n546249108on_val(U_3353,U_3354)
      | ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,U_3354),dom_na996029170on_val(U_3353))) ),
    inference(variable_rename,[status(thm)],[f_566_1]) ).

cnf(f_566_3,plain,
    ( hAPP_n546249108on_val(map_ad61982421on_val(U_3355,U_3353),U_3354) = hAPP_n546249108on_val(U_3353,U_3354)
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,U_3354),dom_na996029170on_val(U_3353))) ),
    inference(clausify,[status(thm)],[f_566_2]) ).

fof(f_567_1,plain,
    ! [L1,M_1,L2] :
      ( hAPP_l207779698on_val(map_ad325961431ar_val(L1,L2),M_1) = hAPP_l207779698on_val(L2,M_1)
      | ~ hBOOL(hAPP_f986089162l_bool(hAPP_l1903254203l_bool(member_list_char,M_1),dom_list_char_val(L2))) ),
    inference(fof_nnf,[status(thm)],[fact_425_map__add__dom__app__simps_I1_J]) ).

fof(f_567_2,plain,
    ! [U_3358,U_3357,U_3356] :
      ( hAPP_l207779698on_val(map_ad325961431ar_val(U_3358,U_3356),U_3357) = hAPP_l207779698on_val(U_3356,U_3357)
      | ~ hBOOL(hAPP_f986089162l_bool(hAPP_l1903254203l_bool(member_list_char,U_3357),dom_list_char_val(U_3356))) ),
    inference(variable_rename,[status(thm)],[f_567_1]) ).

cnf(f_567_3,plain,
    ( hAPP_l207779698on_val(map_ad325961431ar_val(U_3358,U_3356),U_3357) = hAPP_l207779698on_val(U_3356,U_3357)
    | ~ hBOOL(hAPP_f986089162l_bool(hAPP_l1903254203l_bool(member_list_char,U_3357),dom_list_char_val(U_3356))) ),
    inference(clausify,[status(thm)],[f_567_2]) ).

fof(f_568_1,plain,
    ! [C_2,P_1,Q_2] :
      ( hAPP_P1228500987ion_ty(hAPP_f46308763ion_ty(produc907433735ion_ty,C_2),P_1) = hAPP_P1228500987ion_ty(hAPP_f46308763ion_ty(produc907433735ion_ty,C_2),Q_2)
      | P_1 != Q_2 ),
    inference(fof_nnf,[status(thm)],[fact_426_split__weak__cong]) ).

fof(f_568_2,plain,
    ! [U_3361,U_3360,U_3359] :
      ( hAPP_P1228500987ion_ty(hAPP_f46308763ion_ty(produc907433735ion_ty,U_3361),U_3360) = hAPP_P1228500987ion_ty(hAPP_f46308763ion_ty(produc907433735ion_ty,U_3361),U_3359)
      | U_3360 != U_3359 ),
    inference(variable_rename,[status(thm)],[f_568_1]) ).

cnf(f_568_3,plain,
    ( hAPP_P1228500987ion_ty(hAPP_f46308763ion_ty(produc907433735ion_ty,U_3361),U_3360) = hAPP_P1228500987ion_ty(hAPP_f46308763ion_ty(produc907433735ion_ty,U_3361),U_3359)
    | U_3360 != U_3359 ),
    inference(clausify,[status(thm)],[f_568_2]) ).

fof(f_569_1,plain,
    ! [C_2,P_1,Q_2] :
      ( ( ( hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,C_2),P_1))
          | ~ hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,C_2),Q_2)) )
        & ( hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,C_2),Q_2))
          | ~ hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,C_2),P_1)) ) )
      | P_1 != Q_2 ),
    inference(fof_nnf,[status(thm)],[fact_427_split__weak__cong]) ).

fof(f_569_2,plain,
    ! [U_3364,U_3363,U_3362] :
      ( ( ( hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,U_3364),U_3363))
          | ~ hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,U_3364),U_3362)) )
        & ( hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,U_3364),U_3362))
          | ~ hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,U_3364),U_3363)) ) )
      | U_3363 != U_3362 ),
    inference(variable_rename,[status(thm)],[f_569_1]) ).

cnf(f_569_3,plain,
    ( hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,U_3364),U_3362))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,U_3364),U_3363))
    | U_3363 != U_3362 ),
    inference(clausify,[status(thm)],[f_569_2]) ).

cnf(f_569_4,plain,
    ( hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,U_3364),U_3363))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,U_3364),U_3362))
    | U_3363 != U_3362 ),
    inference(clausify,[status(thm)],[f_569_2]) ).

fof(f_570_1,plain,
    ! [L1,M_1,L2] :
      ( hAPP_n546249108on_val(map_ad61982421on_val(L1,L2),M_1) = hAPP_n546249108on_val(L1,M_1)
      | hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,M_1),dom_na996029170on_val(L2))) ),
    inference(fof_nnf,[status(thm)],[fact_428_map__add__dom__app__simps_I3_J]) ).

fof(f_570_2,plain,
    ! [U_3367,U_3366,U_3365] :
      ( hAPP_n546249108on_val(map_ad61982421on_val(U_3367,U_3365),U_3366) = hAPP_n546249108on_val(U_3367,U_3366)
      | hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,U_3366),dom_na996029170on_val(U_3365))) ),
    inference(variable_rename,[status(thm)],[f_570_1]) ).

cnf(f_570_3,plain,
    ( hAPP_n546249108on_val(map_ad61982421on_val(U_3367,U_3365),U_3366) = hAPP_n546249108on_val(U_3367,U_3366)
    | hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,U_3366),dom_na996029170on_val(U_3365))) ),
    inference(clausify,[status(thm)],[f_570_2]) ).

fof(f_571_1,plain,
    ! [L1,M_1,L2] :
      ( hAPP_l207779698on_val(map_ad325961431ar_val(L1,L2),M_1) = hAPP_l207779698on_val(L1,M_1)
      | hBOOL(hAPP_f986089162l_bool(hAPP_l1903254203l_bool(member_list_char,M_1),dom_list_char_val(L2))) ),
    inference(fof_nnf,[status(thm)],[fact_429_map__add__dom__app__simps_I3_J]) ).

fof(f_571_2,plain,
    ! [U_3370,U_3369,U_3368] :
      ( hAPP_l207779698on_val(map_ad325961431ar_val(U_3370,U_3368),U_3369) = hAPP_l207779698on_val(U_3370,U_3369)
      | hBOOL(hAPP_f986089162l_bool(hAPP_l1903254203l_bool(member_list_char,U_3369),dom_list_char_val(U_3368))) ),
    inference(variable_rename,[status(thm)],[f_571_1]) ).

cnf(f_571_3,plain,
    ( hAPP_l207779698on_val(map_ad325961431ar_val(U_3370,U_3368),U_3369) = hAPP_l207779698on_val(U_3370,U_3369)
    | hBOOL(hAPP_f986089162l_bool(hAPP_l1903254203l_bool(member_list_char,U_3369),dom_list_char_val(U_3368))) ),
    inference(clausify,[status(thm)],[f_571_2]) ).

fof(f_572_1,plain,
    ! [L2,M_1,L1] :
      ( hAPP_n546249108on_val(map_ad61982421on_val(L1,L2),M_1) = hAPP_n546249108on_val(L2,M_1)
      | hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,M_1),dom_na996029170on_val(L1))) ),
    inference(fof_nnf,[status(thm)],[fact_430_map__add__dom__app__simps_I2_J]) ).

fof(f_572_2,plain,
    ! [U_3373,U_3372,U_3371] :
      ( hAPP_n546249108on_val(map_ad61982421on_val(U_3371,U_3373),U_3372) = hAPP_n546249108on_val(U_3373,U_3372)
      | hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,U_3372),dom_na996029170on_val(U_3371))) ),
    inference(variable_rename,[status(thm)],[f_572_1]) ).

cnf(f_572_3,plain,
    ( hAPP_n546249108on_val(map_ad61982421on_val(U_3371,U_3373),U_3372) = hAPP_n546249108on_val(U_3373,U_3372)
    | hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,U_3372),dom_na996029170on_val(U_3371))) ),
    inference(clausify,[status(thm)],[f_572_2]) ).

fof(f_573_1,plain,
    ! [L2,M_1,L1] :
      ( hAPP_l207779698on_val(map_ad325961431ar_val(L1,L2),M_1) = hAPP_l207779698on_val(L2,M_1)
      | hBOOL(hAPP_f986089162l_bool(hAPP_l1903254203l_bool(member_list_char,M_1),dom_list_char_val(L1))) ),
    inference(fof_nnf,[status(thm)],[fact_431_map__add__dom__app__simps_I2_J]) ).

fof(f_573_2,plain,
    ! [U_3376,U_3375,U_3374] :
      ( hAPP_l207779698on_val(map_ad325961431ar_val(U_3374,U_3376),U_3375) = hAPP_l207779698on_val(U_3376,U_3375)
      | hBOOL(hAPP_f986089162l_bool(hAPP_l1903254203l_bool(member_list_char,U_3375),dom_list_char_val(U_3374))) ),
    inference(variable_rename,[status(thm)],[f_573_1]) ).

cnf(f_573_3,plain,
    ( hAPP_l207779698on_val(map_ad325961431ar_val(U_3374,U_3376),U_3375) = hAPP_l207779698on_val(U_3376,U_3375)
    | hBOOL(hAPP_f986089162l_bool(hAPP_l1903254203l_bool(member_list_char,U_3375),dom_list_char_val(U_3374))) ),
    inference(clausify,[status(thm)],[f_573_2]) ).

fof(f_574_1,plain,
    ! [M1,M2,M3] : map_ad325961431ar_val(M1,map_ad325961431ar_val(M2,M3)) = map_ad325961431ar_val(map_ad325961431ar_val(M1,M2),M3),
    inference(fof_nnf,[status(thm)],[fact_432_map__add__assoc]) ).

fof(f_574_2,plain,
    ! [U_3379,U_3378,U_3377] : map_ad325961431ar_val(U_3379,map_ad325961431ar_val(U_3378,U_3377)) = map_ad325961431ar_val(map_ad325961431ar_val(U_3379,U_3378),U_3377),
    inference(variable_rename,[status(thm)],[f_574_1]) ).

cnf(f_574_3,plain,
    map_ad325961431ar_val(U_3379,map_ad325961431ar_val(U_3378,U_3377)) = map_ad325961431ar_val(map_ad325961431ar_val(U_3379,U_3378),U_3377),
    inference(clausify,[status(thm)],[f_574_2]) ).

fof(f_575_1,plain,
    ! [F_1] : hAPP_f46308763ion_ty(produc907433735ion_ty,produc1675615144ion_ty(F_1)) = F_1,
    inference(fof_nnf,[status(thm)],[fact_433_split__curry]) ).

fof(f_575_2,plain,
    ! [U_3380] : hAPP_f46308763ion_ty(produc907433735ion_ty,produc1675615144ion_ty(U_3380)) = U_3380,
    inference(variable_rename,[status(thm)],[f_575_1]) ).

cnf(f_575_3,plain,
    hAPP_f46308763ion_ty(produc907433735ion_ty,produc1675615144ion_ty(U_3380)) = U_3380,
    inference(clausify,[status(thm)],[f_575_2]) ).

fof(f_576_1,plain,
    ! [F_1] : hAPP_f2121594859l_bool(produc1958875245l_bool,produc2062775566l_bool(F_1)) = F_1,
    inference(fof_nnf,[status(thm)],[fact_434_split__curry]) ).

fof(f_576_2,plain,
    ! [U_3381] : hAPP_f2121594859l_bool(produc1958875245l_bool,produc2062775566l_bool(U_3381)) = U_3381,
    inference(variable_rename,[status(thm)],[f_576_1]) ).

cnf(f_576_3,plain,
    hAPP_f2121594859l_bool(produc1958875245l_bool,produc2062775566l_bool(U_3381)) = U_3381,
    inference(clausify,[status(thm)],[f_576_2]) ).

fof(f_577_1,plain,
    ! [F_1] : produc1675615144ion_ty(hAPP_f46308763ion_ty(produc907433735ion_ty,F_1)) = F_1,
    inference(fof_nnf,[status(thm)],[fact_435_curry__split]) ).

fof(f_577_2,plain,
    ! [U_3382] : produc1675615144ion_ty(hAPP_f46308763ion_ty(produc907433735ion_ty,U_3382)) = U_3382,
    inference(variable_rename,[status(thm)],[f_577_1]) ).

cnf(f_577_3,plain,
    produc1675615144ion_ty(hAPP_f46308763ion_ty(produc907433735ion_ty,U_3382)) = U_3382,
    inference(clausify,[status(thm)],[f_577_2]) ).

fof(f_578_1,plain,
    ! [F_1] : produc2062775566l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,F_1)) = F_1,
    inference(fof_nnf,[status(thm)],[fact_436_curry__split]) ).

fof(f_578_2,plain,
    ! [U_3383] : produc2062775566l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,U_3383)) = U_3383,
    inference(variable_rename,[status(thm)],[f_578_1]) ).

cnf(f_578_3,plain,
    produc2062775566l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,U_3383)) = U_3383,
    inference(clausify,[status(thm)],[f_578_2]) ).

fof(f_579_1,plain,
    ! [Pa,Q_1,X_1] :
      ( ( hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,hAPP_f555424277l_bool(hAPP_f1734879897l_bool(cOMBB_1522540928on_val,hAPP_f1863694447l_bool(cOMBB_383678192on_val,hAPP_b589554111l_bool(fconj,Pa))),Q_1)),X_1))
        | ~ hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,Q_1),X_1))
        | ~ hBOOL(Pa) )
      & ( ( hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,Q_1),X_1))
          & hBOOL(Pa) )
        | ~ hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,hAPP_f555424277l_bool(hAPP_f1734879897l_bool(cOMBB_1522540928on_val,hAPP_f1863694447l_bool(cOMBB_383678192on_val,hAPP_b589554111l_bool(fconj,Pa))),Q_1)),X_1)) ) ),
    inference(fof_nnf,[status(thm)],[fact_437_split__part]) ).

fof(f_579_2,plain,
    ! [U_3386,U_3385,U_3384] :
      ( ( hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,hAPP_f555424277l_bool(hAPP_f1734879897l_bool(cOMBB_1522540928on_val,hAPP_f1863694447l_bool(cOMBB_383678192on_val,hAPP_b589554111l_bool(fconj,U_3386))),U_3385)),U_3384))
        | ~ hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,U_3385),U_3384))
        | ~ hBOOL(U_3386) )
      & ( ( hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,U_3385),U_3384))
          & hBOOL(U_3386) )
        | ~ hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,hAPP_f555424277l_bool(hAPP_f1734879897l_bool(cOMBB_1522540928on_val,hAPP_f1863694447l_bool(cOMBB_383678192on_val,hAPP_b589554111l_bool(fconj,U_3386))),U_3385)),U_3384)) ) ),
    inference(variable_rename,[status(thm)],[f_579_1]) ).

fof(f_579_3,plain,
    ( ! [U_3392,U_3390,U_3388] :
        ( hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,hAPP_f555424277l_bool(hAPP_f1734879897l_bool(cOMBB_1522540928on_val,hAPP_f1863694447l_bool(cOMBB_383678192on_val,hAPP_b589554111l_bool(fconj,U_3392))),U_3390)),U_3388))
        | ~ hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,U_3390),U_3388))
        | ~ hBOOL(U_3392) )
    & ! [U_3391,U_3389,U_3387] :
        ( ( hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,U_3389),U_3387))
          & hBOOL(U_3391) )
        | ~ hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,hAPP_f555424277l_bool(hAPP_f1734879897l_bool(cOMBB_1522540928on_val,hAPP_f1863694447l_bool(cOMBB_383678192on_val,hAPP_b589554111l_bool(fconj,U_3391))),U_3389)),U_3387)) ) ),
    inference(miniscope,[status(thm)],[f_579_2]) ).

cnf(f_579_4,plain,
    ( hBOOL(U_3391)
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,hAPP_f555424277l_bool(hAPP_f1734879897l_bool(cOMBB_1522540928on_val,hAPP_f1863694447l_bool(cOMBB_383678192on_val,hAPP_b589554111l_bool(fconj,U_3391))),U_3389)),U_3387)) ),
    inference(clausify,[status(thm)],[f_579_3]) ).

cnf(f_579_5,plain,
    ( hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,U_3389),U_3387))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,hAPP_f555424277l_bool(hAPP_f1734879897l_bool(cOMBB_1522540928on_val,hAPP_f1863694447l_bool(cOMBB_383678192on_val,hAPP_b589554111l_bool(fconj,U_3391))),U_3389)),U_3387)) ),
    inference(clausify,[status(thm)],[f_579_3]) ).

cnf(f_579_6,plain,
    ( hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,hAPP_f555424277l_bool(hAPP_f1734879897l_bool(cOMBB_1522540928on_val,hAPP_f1863694447l_bool(cOMBB_383678192on_val,hAPP_b589554111l_bool(fconj,U_3392))),U_3390)),U_3388))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,U_3390),U_3388))
    | ~ hBOOL(U_3392) ),
    inference(clausify,[status(thm)],[f_579_3]) ).

fof(f_580_1,plain,
    ! [Va_1,Ta,Va,U,S,Pa] : hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,block_list_char(Va_1,Ta,seq_list_char(lAss_list_char(Va_1,hAPP_v834067052t_char(val_list_char,Va)),hAPP_v834067052t_char(val_list_char,U)))),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,U)),S))),red(Pa))),
    inference(fof_nnf,[status(thm)],[fact_438_red__reds_ORedInitBlock]) ).

fof(f_580_2,plain,
    ! [U_3398,U_3397,U_3396,U_3395,U_3394,U_3393] : hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,block_list_char(U_3398,U_3397,seq_list_char(lAss_list_char(U_3398,hAPP_v834067052t_char(val_list_char,U_3396)),hAPP_v834067052t_char(val_list_char,U_3395)))),U_3394)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,U_3395)),U_3394))),red(U_3393))),
    inference(variable_rename,[status(thm)],[f_580_1]) ).

cnf(f_580_3,plain,
    hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,block_list_char(U_3398,U_3397,seq_list_char(lAss_list_char(U_3398,hAPP_v834067052t_char(val_list_char,U_3396)),hAPP_v834067052t_char(val_list_char,U_3395)))),U_3394)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,U_3395)),U_3394))),red(U_3393))),
    inference(clausify,[status(thm)],[f_580_2]) ).

fof(f_581_1,plain,
    ! [T_a,Pa,Hb,Va,Ta] :
      ( hBOOL(conf_P373316194t_char(Pa,Hb,Va,T_a))
      | ~ hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(Pa),Ta),T_a))
      | ~ hBOOL(conf_P373316194t_char(Pa,Hb,Va,Ta)) ),
    inference(fof_nnf,[status(thm)],[fact_439_conf__widen]) ).

fof(f_581_2,plain,
    ! [U_3403,U_3402,U_3401,U_3400,U_3399] :
      ( hBOOL(conf_P373316194t_char(U_3402,U_3401,U_3400,U_3403))
      | ~ hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(U_3402),U_3399),U_3403))
      | ~ hBOOL(conf_P373316194t_char(U_3402,U_3401,U_3400,U_3399)) ),
    inference(variable_rename,[status(thm)],[f_581_1]) ).

cnf(f_581_3,plain,
    ( hBOOL(conf_P373316194t_char(U_3402,U_3401,U_3400,U_3403))
    | ~ hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(U_3402),U_3399),U_3403))
    | ~ hBOOL(conf_P373316194t_char(U_3402,U_3401,U_3400,U_3399)) ),
    inference(clausify,[status(thm)],[f_581_2]) ).

fof(f_582_1,plain,
    ! [F_1,A,B] :
      ( hBOOL(hAPP_e544220455r_bool(hAPP_l214204733r_bool(F_1,A),B))
      | ~ hBOOL(hAPP_P2014166431r_bool(hAPP_f1484794973r_bool(produc1732333873r_bool,F_1),hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,A),B))) ),
    inference(fof_nnf,[status(thm)],[fact_440_splitD]) ).

fof(f_582_2,plain,
    ! [U_3406,U_3405,U_3404] :
      ( hBOOL(hAPP_e544220455r_bool(hAPP_l214204733r_bool(U_3406,U_3405),U_3404))
      | ~ hBOOL(hAPP_P2014166431r_bool(hAPP_f1484794973r_bool(produc1732333873r_bool,U_3406),hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_3405),U_3404))) ),
    inference(variable_rename,[status(thm)],[f_582_1]) ).

cnf(f_582_3,plain,
    ( hBOOL(hAPP_e544220455r_bool(hAPP_l214204733r_bool(U_3406,U_3405),U_3404))
    | ~ hBOOL(hAPP_P2014166431r_bool(hAPP_f1484794973r_bool(produc1732333873r_bool,U_3406),hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_3405),U_3404))) ),
    inference(clausify,[status(thm)],[f_582_2]) ).

fof(f_583_1,plain,
    ! [F_1,A,B] :
      ( hBOOL(hAPP_l902158906r_bool(hAPP_l24694616r_bool(F_1,A),B))
      | ~ hBOOL(hAPP_P828904212r_bool(hAPP_f895126887r_bool(produc1596557472r_bool,F_1),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,A),B))) ),
    inference(fof_nnf,[status(thm)],[fact_441_splitD]) ).

fof(f_583_2,plain,
    ! [U_3409,U_3408,U_3407] :
      ( hBOOL(hAPP_l902158906r_bool(hAPP_l24694616r_bool(U_3409,U_3408),U_3407))
      | ~ hBOOL(hAPP_P828904212r_bool(hAPP_f895126887r_bool(produc1596557472r_bool,U_3409),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_3408),U_3407))) ),
    inference(variable_rename,[status(thm)],[f_583_1]) ).

cnf(f_583_3,plain,
    ( hBOOL(hAPP_l902158906r_bool(hAPP_l24694616r_bool(U_3409,U_3408),U_3407))
    | ~ hBOOL(hAPP_P828904212r_bool(hAPP_f895126887r_bool(produc1596557472r_bool,U_3409),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_3408),U_3407))) ),
    inference(clausify,[status(thm)],[f_583_2]) ).

fof(f_584_1,plain,
    ! [F_1,A,B] :
      ( hBOOL(hAPP_P828904212r_bool(hAPP_l1342015621r_bool(F_1,A),B))
      | ~ hBOOL(hAPP_P659547099r_bool(hAPP_f252398939r_bool(produc1324280167r_bool,F_1),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,A),B))) ),
    inference(fof_nnf,[status(thm)],[fact_442_splitD]) ).

fof(f_584_2,plain,
    ! [U_3412,U_3411,U_3410] :
      ( hBOOL(hAPP_P828904212r_bool(hAPP_l1342015621r_bool(U_3412,U_3411),U_3410))
      | ~ hBOOL(hAPP_P659547099r_bool(hAPP_f252398939r_bool(produc1324280167r_bool,U_3412),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_3411),U_3410))) ),
    inference(variable_rename,[status(thm)],[f_584_1]) ).

cnf(f_584_3,plain,
    ( hBOOL(hAPP_P828904212r_bool(hAPP_l1342015621r_bool(U_3412,U_3411),U_3410))
    | ~ hBOOL(hAPP_P659547099r_bool(hAPP_f252398939r_bool(produc1324280167r_bool,U_3412),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_3411),U_3410))) ),
    inference(clausify,[status(thm)],[f_584_2]) ).

fof(f_585_1,plain,
    ! [F_1,A,B] :
      ( hBOOL(hAPP_P659547099r_bool(hAPP_l2140727500r_bool(F_1,A),B))
      | ~ hBOOL(hAPP_P1680401186r_bool(hAPP_f952817385r_bool(produc723279022r_bool,F_1),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,A),B))) ),
    inference(fof_nnf,[status(thm)],[fact_443_splitD]) ).

fof(f_585_2,plain,
    ! [U_3415,U_3414,U_3413] :
      ( hBOOL(hAPP_P659547099r_bool(hAPP_l2140727500r_bool(U_3415,U_3414),U_3413))
      | ~ hBOOL(hAPP_P1680401186r_bool(hAPP_f952817385r_bool(produc723279022r_bool,U_3415),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_3414),U_3413))) ),
    inference(variable_rename,[status(thm)],[f_585_1]) ).

cnf(f_585_3,plain,
    ( hBOOL(hAPP_P659547099r_bool(hAPP_l2140727500r_bool(U_3415,U_3414),U_3413))
    | ~ hBOOL(hAPP_P1680401186r_bool(hAPP_f952817385r_bool(produc723279022r_bool,U_3415),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_3414),U_3413))) ),
    inference(clausify,[status(thm)],[f_585_2]) ).

fof(f_586_1,plain,
    ! [F_1,A,B] :
      ( hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(F_1,A),B))
      | ~ hBOOL(hAPP_P2118621157r_bool(hAPP_f1697332217r_bool(produc21910851r_bool,F_1),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,A),B))) ),
    inference(fof_nnf,[status(thm)],[fact_444_splitD]) ).

fof(f_586_2,plain,
    ! [U_3418,U_3417,U_3416] :
      ( hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(U_3418,U_3417),U_3416))
      | ~ hBOOL(hAPP_P2118621157r_bool(hAPP_f1697332217r_bool(produc21910851r_bool,U_3418),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_3417),U_3416))) ),
    inference(variable_rename,[status(thm)],[f_586_1]) ).

cnf(f_586_3,plain,
    ( hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(U_3418,U_3417),U_3416))
    | ~ hBOOL(hAPP_P2118621157r_bool(hAPP_f1697332217r_bool(produc21910851r_bool,U_3418),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_3417),U_3416))) ),
    inference(clausify,[status(thm)],[f_586_2]) ).

fof(f_587_1,plain,
    ! [F_1,A,B] :
      ( hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(F_1,A),B))
      | ~ hBOOL(hAPP_P1907982426r_bool(hAPP_f102021095r_bool(produc154616760r_bool,F_1),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,A),B))) ),
    inference(fof_nnf,[status(thm)],[fact_445_splitD]) ).

fof(f_587_2,plain,
    ! [U_3421,U_3420,U_3419] :
      ( hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(U_3421,U_3420),U_3419))
      | ~ hBOOL(hAPP_P1907982426r_bool(hAPP_f102021095r_bool(produc154616760r_bool,U_3421),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_3420),U_3419))) ),
    inference(variable_rename,[status(thm)],[f_587_1]) ).

cnf(f_587_3,plain,
    ( hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(U_3421,U_3420),U_3419))
    | ~ hBOOL(hAPP_P1907982426r_bool(hAPP_f102021095r_bool(produc154616760r_bool,U_3421),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_3420),U_3419))) ),
    inference(clausify,[status(thm)],[f_587_2]) ).

fof(f_588_1,plain,
    ! [F_1,A,B] :
      ( hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(F_1,A),B))
      | ~ hBOOL(hAPP_P92196306r_bool(hAPP_f1613448899r_bool(produc2027921764r_bool,F_1),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,A),B))) ),
    inference(fof_nnf,[status(thm)],[fact_446_splitD]) ).

fof(f_588_2,plain,
    ! [U_3424,U_3423,U_3422] :
      ( hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(U_3424,U_3423),U_3422))
      | ~ hBOOL(hAPP_P92196306r_bool(hAPP_f1613448899r_bool(produc2027921764r_bool,U_3424),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_3423),U_3422))) ),
    inference(variable_rename,[status(thm)],[f_588_1]) ).

cnf(f_588_3,plain,
    ( hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(U_3424,U_3423),U_3422))
    | ~ hBOOL(hAPP_P92196306r_bool(hAPP_f1613448899r_bool(produc2027921764r_bool,U_3424),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_3423),U_3422))) ),
    inference(clausify,[status(thm)],[f_588_2]) ).

fof(f_589_1,plain,
    ! [F_1,A,B] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(F_1,A),B))
      | ~ hBOOL(hAPP_P71593144l_bool(hAPP_f1634841927l_bool(produc1491230096l_bool,F_1),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,A),B))) ),
    inference(fof_nnf,[status(thm)],[fact_447_splitD]) ).

fof(f_589_2,plain,
    ! [U_3427,U_3426,U_3425] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(U_3427,U_3426),U_3425))
      | ~ hBOOL(hAPP_P71593144l_bool(hAPP_f1634841927l_bool(produc1491230096l_bool,U_3427),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_3426),U_3425))) ),
    inference(variable_rename,[status(thm)],[f_589_1]) ).

cnf(f_589_3,plain,
    ( hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(U_3427,U_3426),U_3425))
    | ~ hBOOL(hAPP_P71593144l_bool(hAPP_f1634841927l_bool(produc1491230096l_bool,U_3427),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_3426),U_3425))) ),
    inference(clausify,[status(thm)],[f_589_2]) ).

fof(f_590_1,plain,
    ! [F_1,A,B] :
      ( hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(F_1,A),B))
      | ~ hBOOL(hAPP_P1333315679l_bool(hAPP_f1525114763l_bool(produc70644925l_bool,F_1),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A),B))) ),
    inference(fof_nnf,[status(thm)],[fact_448_splitD]) ).

fof(f_590_2,plain,
    ! [U_3430,U_3429,U_3428] :
      ( hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(U_3430,U_3429),U_3428))
      | ~ hBOOL(hAPP_P1333315679l_bool(hAPP_f1525114763l_bool(produc70644925l_bool,U_3430),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_3429),U_3428))) ),
    inference(variable_rename,[status(thm)],[f_590_1]) ).

cnf(f_590_3,plain,
    ( hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(U_3430,U_3429),U_3428))
    | ~ hBOOL(hAPP_P1333315679l_bool(hAPP_f1525114763l_bool(produc70644925l_bool,U_3430),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_3429),U_3428))) ),
    inference(clausify,[status(thm)],[f_590_2]) ).

fof(f_591_1,plain,
    ! [F_1,A,B] :
      ( hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(F_1,A),B))
      | ~ hBOOL(hAPP_P929938951l_bool(hAPP_f1534412387l_bool(produc769963999l_bool,F_1),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A),B))) ),
    inference(fof_nnf,[status(thm)],[fact_449_splitD]) ).

fof(f_591_2,plain,
    ! [U_3433,U_3432,U_3431] :
      ( hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(U_3433,U_3432),U_3431))
      | ~ hBOOL(hAPP_P929938951l_bool(hAPP_f1534412387l_bool(produc769963999l_bool,U_3433),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_3432),U_3431))) ),
    inference(variable_rename,[status(thm)],[f_591_1]) ).

cnf(f_591_3,plain,
    ( hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(U_3433,U_3432),U_3431))
    | ~ hBOOL(hAPP_P929938951l_bool(hAPP_f1534412387l_bool(produc769963999l_bool,U_3433),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_3432),U_3431))) ),
    inference(clausify,[status(thm)],[f_591_2]) ).

fof(f_592_1,plain,
    ! [F_1,A,B] :
      ( hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(F_1,A),B))
      | ~ hBOOL(hAPP_P943837928l_bool(hAPP_f340876351l_bool(produc1326056646l_bool,F_1),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,A),B))) ),
    inference(fof_nnf,[status(thm)],[fact_450_splitD]) ).

fof(f_592_2,plain,
    ! [U_3436,U_3435,U_3434] :
      ( hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(U_3436,U_3435),U_3434))
      | ~ hBOOL(hAPP_P943837928l_bool(hAPP_f340876351l_bool(produc1326056646l_bool,U_3436),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_3435),U_3434))) ),
    inference(variable_rename,[status(thm)],[f_592_1]) ).

cnf(f_592_3,plain,
    ( hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(U_3436,U_3435),U_3434))
    | ~ hBOOL(hAPP_P943837928l_bool(hAPP_f340876351l_bool(produc1326056646l_bool,U_3436),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_3435),U_3434))) ),
    inference(clausify,[status(thm)],[f_592_2]) ).

fof(f_593_1,plain,
    ! [F_1,A,B] :
      ( hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(F_1,A),B))
      | ~ hBOOL(hAPP_P449474095r_bool(hAPP_f2132060507r_bool(produc1704639885r_bool,F_1),hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A),B))) ),
    inference(fof_nnf,[status(thm)],[fact_451_splitD]) ).

fof(f_593_2,plain,
    ! [U_3439,U_3438,U_3437] :
      ( hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(U_3439,U_3438),U_3437))
      | ~ hBOOL(hAPP_P449474095r_bool(hAPP_f2132060507r_bool(produc1704639885r_bool,U_3439),hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_3438),U_3437))) ),
    inference(variable_rename,[status(thm)],[f_593_1]) ).

cnf(f_593_3,plain,
    ( hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(U_3439,U_3438),U_3437))
    | ~ hBOOL(hAPP_P449474095r_bool(hAPP_f2132060507r_bool(produc1704639885r_bool,U_3439),hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_3438),U_3437))) ),
    inference(clausify,[status(thm)],[f_593_2]) ).

fof(f_594_1,plain,
    ! [F_1,A,B] :
      ( hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(F_1,A),B))
      | ~ hBOOL(hAPP_P1235399154l_bool(hAPP_f1443410953l_bool(produc392960766l_bool,F_1),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,A),B))) ),
    inference(fof_nnf,[status(thm)],[fact_452_splitD]) ).

fof(f_594_2,plain,
    ! [U_3442,U_3441,U_3440] :
      ( hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(U_3442,U_3441),U_3440))
      | ~ hBOOL(hAPP_P1235399154l_bool(hAPP_f1443410953l_bool(produc392960766l_bool,U_3442),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_3441),U_3440))) ),
    inference(variable_rename,[status(thm)],[f_594_1]) ).

cnf(f_594_3,plain,
    ( hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(U_3442,U_3441),U_3440))
    | ~ hBOOL(hAPP_P1235399154l_bool(hAPP_f1443410953l_bool(produc392960766l_bool,U_3442),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_3441),U_3440))) ),
    inference(clausify,[status(thm)],[f_594_2]) ).

fof(f_595_1,plain,
    ! [F_1,A,B] :
      ( hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(F_1,A),B))
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,F_1),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A),B))) ),
    inference(fof_nnf,[status(thm)],[fact_453_splitD]) ).

fof(f_595_2,plain,
    ! [U_3445,U_3444,U_3443] :
      ( hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(U_3445,U_3444),U_3443))
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,U_3445),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_3444),U_3443))) ),
    inference(variable_rename,[status(thm)],[f_595_1]) ).

cnf(f_595_3,plain,
    ( hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(U_3445,U_3444),U_3443))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,U_3445),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_3444),U_3443))) ),
    inference(clausify,[status(thm)],[f_595_2]) ).

fof(f_596_1,plain,
    ! [F_1,A,B] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(F_1,A),B))
      | ~ hBOOL(hAPP_P1708370145l_bool(hAPP_f1930574389l_bool(produc1815960045l_bool,F_1),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A),B))) ),
    inference(fof_nnf,[status(thm)],[fact_454_splitD]) ).

fof(f_596_2,plain,
    ! [U_3448,U_3447,U_3446] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(U_3448,U_3447),U_3446))
      | ~ hBOOL(hAPP_P1708370145l_bool(hAPP_f1930574389l_bool(produc1815960045l_bool,U_3448),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_3447),U_3446))) ),
    inference(variable_rename,[status(thm)],[f_596_1]) ).

cnf(f_596_3,plain,
    ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(U_3448,U_3447),U_3446))
    | ~ hBOOL(hAPP_P1708370145l_bool(hAPP_f1930574389l_bool(produc1815960045l_bool,U_3448),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_3447),U_3446))) ),
    inference(clausify,[status(thm)],[f_596_2]) ).

fof(f_597_1,plain,
    ! [F_1,A,B] :
      ( hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(F_1,A),B))
      | ~ hBOOL(hAPP_P282169671l_bool(hAPP_f635218277l_bool(produc1911463199l_bool,F_1),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A),B))) ),
    inference(fof_nnf,[status(thm)],[fact_455_splitD]) ).

fof(f_597_2,plain,
    ! [U_3451,U_3450,U_3449] :
      ( hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(U_3451,U_3450),U_3449))
      | ~ hBOOL(hAPP_P282169671l_bool(hAPP_f635218277l_bool(produc1911463199l_bool,U_3451),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_3450),U_3449))) ),
    inference(variable_rename,[status(thm)],[f_597_1]) ).

cnf(f_597_3,plain,
    ( hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(U_3451,U_3450),U_3449))
    | ~ hBOOL(hAPP_P282169671l_bool(hAPP_f635218277l_bool(produc1911463199l_bool,U_3451),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_3450),U_3449))) ),
    inference(clausify,[status(thm)],[f_597_2]) ).

fof(f_598_1,plain,
    ! [H_b,Pa,Hb,Lb,Ea] :
      ( hBOOL(hAPP_f1001225811y_bool(hAPP_f2060496320y_bool(hAPP_f1213370163y_bool(lconf_496643946t_char(Pa),H_b),Lb),Ea))
      | ~ hBOOL(hext(Hb,H_b))
      | ~ hBOOL(hAPP_f1001225811y_bool(hAPP_f2060496320y_bool(hAPP_f1213370163y_bool(lconf_496643946t_char(Pa),Hb),Lb),Ea)) ),
    inference(fof_nnf,[status(thm)],[fact_456_lconf__hext]) ).

fof(f_598_2,plain,
    ! [U_3456,U_3455,U_3454,U_3453,U_3452] :
      ( hBOOL(hAPP_f1001225811y_bool(hAPP_f2060496320y_bool(hAPP_f1213370163y_bool(lconf_496643946t_char(U_3455),U_3456),U_3453),U_3452))
      | ~ hBOOL(hext(U_3454,U_3456))
      | ~ hBOOL(hAPP_f1001225811y_bool(hAPP_f2060496320y_bool(hAPP_f1213370163y_bool(lconf_496643946t_char(U_3455),U_3454),U_3453),U_3452)) ),
    inference(variable_rename,[status(thm)],[f_598_1]) ).

cnf(f_598_3,plain,
    ( hBOOL(hAPP_f1001225811y_bool(hAPP_f2060496320y_bool(hAPP_f1213370163y_bool(lconf_496643946t_char(U_3455),U_3456),U_3453),U_3452))
    | ~ hBOOL(hext(U_3454,U_3456))
    | ~ hBOOL(hAPP_f1001225811y_bool(hAPP_f2060496320y_bool(hAPP_f1213370163y_bool(lconf_496643946t_char(U_3455),U_3454),U_3453),U_3452)) ),
    inference(clausify,[status(thm)],[f_598_2]) ).

fof(f_599_1,plain,
    ! [Va,E_2,S,Pa] : hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,seq_list_char(hAPP_v834067052t_char(val_list_char,Va),E_2)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_2),S))),red(Pa))),
    inference(fof_nnf,[status(thm)],[fact_457_red__reds_ORedSeq]) ).

fof(f_599_2,plain,
    ! [U_3460,U_3459,U_3458,U_3457] : hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,seq_list_char(hAPP_v834067052t_char(val_list_char,U_3460),U_3459)),U_3458)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_3459),U_3458))),red(U_3457))),
    inference(variable_rename,[status(thm)],[f_599_1]) ).

cnf(f_599_3,plain,
    hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,seq_list_char(hAPP_v834067052t_char(val_list_char,U_3460),U_3459)),U_3458)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_3459),U_3458))),red(U_3457))),
    inference(clausify,[status(thm)],[f_599_2]) ).

fof(f_600_1,plain,
    ! [E1,U1,M_1,E2] :
      ( map_ad61982421on_val(fun_up2041264236on_val(E1,M_1,hAPP_P1510515380on_val(some_P948696889on_val,U1)),E2) = fun_up2041264236on_val(map_ad61982421on_val(E1,E2),M_1,hAPP_P1510515380on_val(some_P948696889on_val,U1))
      | hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,M_1),dom_na996029170on_val(E2))) ),
    inference(fof_nnf,[status(thm)],[fact_458_map__add__upd__left]) ).

fof(f_600_2,plain,
    ! [U_3464,U_3463,U_3462,U_3461] :
      ( map_ad61982421on_val(fun_up2041264236on_val(U_3464,U_3462,hAPP_P1510515380on_val(some_P948696889on_val,U_3463)),U_3461) = fun_up2041264236on_val(map_ad61982421on_val(U_3464,U_3461),U_3462,hAPP_P1510515380on_val(some_P948696889on_val,U_3463))
      | hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,U_3462),dom_na996029170on_val(U_3461))) ),
    inference(variable_rename,[status(thm)],[f_600_1]) ).

cnf(f_600_3,plain,
    ( map_ad61982421on_val(fun_up2041264236on_val(U_3464,U_3462,hAPP_P1510515380on_val(some_P948696889on_val,U_3463)),U_3461) = fun_up2041264236on_val(map_ad61982421on_val(U_3464,U_3461),U_3462,hAPP_P1510515380on_val(some_P948696889on_val,U_3463))
    | hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,U_3462),dom_na996029170on_val(U_3461))) ),
    inference(clausify,[status(thm)],[f_600_2]) ).

fof(f_601_1,plain,
    ! [E1,U1,M_1,E2] :
      ( map_ad325961431ar_val(fun_up1149430426on_val(E1,M_1,hAPP_val_option_val(some_val,U1)),E2) = fun_up1149430426on_val(map_ad325961431ar_val(E1,E2),M_1,hAPP_val_option_val(some_val,U1))
      | hBOOL(hAPP_f986089162l_bool(hAPP_l1903254203l_bool(member_list_char,M_1),dom_list_char_val(E2))) ),
    inference(fof_nnf,[status(thm)],[fact_459_map__add__upd__left]) ).

fof(f_601_2,plain,
    ! [U_3468,U_3467,U_3466,U_3465] :
      ( map_ad325961431ar_val(fun_up1149430426on_val(U_3468,U_3466,hAPP_val_option_val(some_val,U_3467)),U_3465) = fun_up1149430426on_val(map_ad325961431ar_val(U_3468,U_3465),U_3466,hAPP_val_option_val(some_val,U_3467))
      | hBOOL(hAPP_f986089162l_bool(hAPP_l1903254203l_bool(member_list_char,U_3466),dom_list_char_val(U_3465))) ),
    inference(variable_rename,[status(thm)],[f_601_1]) ).

cnf(f_601_3,plain,
    ( map_ad325961431ar_val(fun_up1149430426on_val(U_3468,U_3466,hAPP_val_option_val(some_val,U_3467)),U_3465) = fun_up1149430426on_val(map_ad325961431ar_val(U_3468,U_3465),U_3466,hAPP_val_option_val(some_val,U_3467))
    | hBOOL(hAPP_f986089162l_bool(hAPP_l1903254203l_bool(member_list_char,U_3466),dom_list_char_val(U_3465))) ),
    inference(clausify,[status(thm)],[f_601_2]) ).

fof(f_602_1,plain,
    ! [E1,U1,M_1,E2] :
      ( map_ad1185064968ar_val(fun_up204312361on_val(E1,M_1,hAPP_val_option_val(some_val,U1)),E2) = fun_up204312361on_val(map_ad1185064968ar_val(E1,E2),M_1,hAPP_val_option_val(some_val,U1))
      | hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,M_1),dom_Pr695701035ar_val(E2))) ),
    inference(fof_nnf,[status(thm)],[fact_460_map__add__upd__left]) ).

fof(f_602_2,plain,
    ! [U_3472,U_3471,U_3470,U_3469] :
      ( map_ad1185064968ar_val(fun_up204312361on_val(U_3472,U_3470,hAPP_val_option_val(some_val,U_3471)),U_3469) = fun_up204312361on_val(map_ad1185064968ar_val(U_3472,U_3469),U_3470,hAPP_val_option_val(some_val,U_3471))
      | hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,U_3470),dom_Pr695701035ar_val(U_3469))) ),
    inference(variable_rename,[status(thm)],[f_602_1]) ).

cnf(f_602_3,plain,
    ( map_ad1185064968ar_val(fun_up204312361on_val(U_3472,U_3470,hAPP_val_option_val(some_val,U_3471)),U_3469) = fun_up204312361on_val(map_ad1185064968ar_val(U_3472,U_3469),U_3470,hAPP_val_option_val(some_val,U_3471))
    | hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,U_3470),dom_Pr695701035ar_val(U_3469))) ),
    inference(clausify,[status(thm)],[f_602_2]) ).

fof(f_603_1,plain,
    ! [E1,U1,M_1,E2] :
      ( map_add_list_char_ty(fun_up424764369ion_ty(E1,M_1,hAPP_ty_option_ty(some_ty,U1)),E2) = fun_up424764369ion_ty(map_add_list_char_ty(E1,E2),M_1,hAPP_ty_option_ty(some_ty,U1))
      | hBOOL(hAPP_f986089162l_bool(hAPP_l1903254203l_bool(member_list_char,M_1),dom_list_char_ty(E2))) ),
    inference(fof_nnf,[status(thm)],[fact_461_map__add__upd__left]) ).

fof(f_603_2,plain,
    ! [U_3476,U_3475,U_3474,U_3473] :
      ( map_add_list_char_ty(fun_up424764369ion_ty(U_3476,U_3474,hAPP_ty_option_ty(some_ty,U_3475)),U_3473) = fun_up424764369ion_ty(map_add_list_char_ty(U_3476,U_3473),U_3474,hAPP_ty_option_ty(some_ty,U_3475))
      | hBOOL(hAPP_f986089162l_bool(hAPP_l1903254203l_bool(member_list_char,U_3474),dom_list_char_ty(U_3473))) ),
    inference(variable_rename,[status(thm)],[f_603_1]) ).

cnf(f_603_3,plain,
    ( map_add_list_char_ty(fun_up424764369ion_ty(U_3476,U_3474,hAPP_ty_option_ty(some_ty,U_3475)),U_3473) = fun_up424764369ion_ty(map_add_list_char_ty(U_3476,U_3473),U_3474,hAPP_ty_option_ty(some_ty,U_3475))
    | hBOOL(hAPP_f986089162l_bool(hAPP_l1903254203l_bool(member_list_char,U_3474),dom_list_char_ty(U_3473))) ),
    inference(clausify,[status(thm)],[f_603_2]) ).

fof(f_604_1,plain,
    ! [Va_1,Ta,U,S,Pa] : hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,block_list_char(Va_1,Ta,hAPP_v834067052t_char(val_list_char,U))),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,U)),S))),red(Pa))),
    inference(fof_nnf,[status(thm)],[fact_462_red__reds_ORedBlock]) ).

fof(f_604_2,plain,
    ! [U_3481,U_3480,U_3479,U_3478,U_3477] : hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,block_list_char(U_3481,U_3480,hAPP_v834067052t_char(val_list_char,U_3479))),U_3478)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,U_3479)),U_3478))),red(U_3477))),
    inference(variable_rename,[status(thm)],[f_604_1]) ).

cnf(f_604_3,plain,
    hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,block_list_char(U_3481,U_3480,hAPP_v834067052t_char(val_list_char,U_3479))),U_3478)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,U_3479)),U_3478))),red(U_3477))),
    inference(clausify,[status(thm)],[f_604_2]) ).

fof(f_605_1,plain,
    ! [M_1,A,B] :
      ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A),dom_na996029170on_val(M_1)))
      | hAPP_n546249108on_val(M_1,A) != hAPP_P1510515380on_val(some_P948696889on_val,B) ),
    inference(fof_nnf,[status(thm)],[fact_463_domI]) ).

fof(f_605_2,plain,
    ! [U_3484,U_3483,U_3482] :
      ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,U_3483),dom_na996029170on_val(U_3484)))
      | hAPP_n546249108on_val(U_3484,U_3483) != hAPP_P1510515380on_val(some_P948696889on_val,U_3482) ),
    inference(variable_rename,[status(thm)],[f_605_1]) ).

fof(f_605_3,plain,
    ! [U_3484,U_3483] :
      ( ! [U_3482] : hAPP_n546249108on_val(U_3484,U_3483) != hAPP_P1510515380on_val(some_P948696889on_val,U_3482)
      | hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,U_3483),dom_na996029170on_val(U_3484))) ),
    inference(miniscope,[status(thm)],[f_605_2]) ).

cnf(f_605_4,plain,
    ( hAPP_n546249108on_val(U_3484,U_3483) != hAPP_P1510515380on_val(some_P948696889on_val,U_3482)
    | hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,U_3483),dom_na996029170on_val(U_3484))) ),
    inference(clausify,[status(thm)],[f_605_3]) ).

fof(f_606_1,plain,
    ! [M_1,A,B] :
      ( hBOOL(hAPP_f986089162l_bool(hAPP_l1903254203l_bool(member_list_char,A),dom_list_char_val(M_1)))
      | hAPP_l207779698on_val(M_1,A) != hAPP_val_option_val(some_val,B) ),
    inference(fof_nnf,[status(thm)],[fact_464_domI]) ).

fof(f_606_2,plain,
    ! [U_3487,U_3486,U_3485] :
      ( hBOOL(hAPP_f986089162l_bool(hAPP_l1903254203l_bool(member_list_char,U_3486),dom_list_char_val(U_3487)))
      | hAPP_l207779698on_val(U_3487,U_3486) != hAPP_val_option_val(some_val,U_3485) ),
    inference(variable_rename,[status(thm)],[f_606_1]) ).

fof(f_606_3,plain,
    ! [U_3487,U_3486] :
      ( ! [U_3485] : hAPP_l207779698on_val(U_3487,U_3486) != hAPP_val_option_val(some_val,U_3485)
      | hBOOL(hAPP_f986089162l_bool(hAPP_l1903254203l_bool(member_list_char,U_3486),dom_list_char_val(U_3487))) ),
    inference(miniscope,[status(thm)],[f_606_2]) ).

cnf(f_606_4,plain,
    ( hAPP_l207779698on_val(U_3487,U_3486) != hAPP_val_option_val(some_val,U_3485)
    | hBOOL(hAPP_f986089162l_bool(hAPP_l1903254203l_bool(member_list_char,U_3486),dom_list_char_val(U_3487))) ),
    inference(clausify,[status(thm)],[f_606_3]) ).

fof(f_607_1,plain,
    ! [Ta,V_a,Eb,Hb,Lb,Va_1,Va,E_b,H_b,L_b,Pa] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,block_list_char(Va_1,Ta,seq_list_char(lAss_list_char(Va_1,hAPP_v834067052t_char(val_list_char,Va)),Eb))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,block_list_char(Va_1,Ta,seq_list_char(lAss_list_char(Va_1,hAPP_v834067052t_char(val_list_char,V_a)),E_b))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),fun_up1149430426on_val(L_b,Va_1,hAPP_l207779698on_val(Lb,Va_1)))))),red(Pa)))
      | hAPP_l207779698on_val(L_b,Va_1) != hAPP_val_option_val(some_val,V_a)
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),fun_up1149430426on_val(Lb,Va_1,hAPP_val_option_val(some_val,Va))))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),L_b)))),red(Pa))) ),
    inference(fof_nnf,[status(thm)],[fact_465_red__reds_OInitBlockRed]) ).

fof(f_607_2,plain,
    ! [U_3498,U_3497,U_3496,U_3495,U_3494,U_3493,U_3492,U_3491,U_3490,U_3489,U_3488] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,block_list_char(U_3493,U_3498,seq_list_char(lAss_list_char(U_3493,hAPP_v834067052t_char(val_list_char,U_3492)),U_3496))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_3495),U_3494))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,block_list_char(U_3493,U_3498,seq_list_char(lAss_list_char(U_3493,hAPP_v834067052t_char(val_list_char,U_3497)),U_3491))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_3490),fun_up1149430426on_val(U_3489,U_3493,hAPP_l207779698on_val(U_3494,U_3493)))))),red(U_3488)))
      | hAPP_l207779698on_val(U_3489,U_3493) != hAPP_val_option_val(some_val,U_3497)
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_3496),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_3495),fun_up1149430426on_val(U_3494,U_3493,hAPP_val_option_val(some_val,U_3492))))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_3491),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_3490),U_3489)))),red(U_3488))) ),
    inference(variable_rename,[status(thm)],[f_607_1]) ).

cnf(f_607_3,plain,
    ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,block_list_char(U_3493,U_3498,seq_list_char(lAss_list_char(U_3493,hAPP_v834067052t_char(val_list_char,U_3492)),U_3496))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_3495),U_3494))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,block_list_char(U_3493,U_3498,seq_list_char(lAss_list_char(U_3493,hAPP_v834067052t_char(val_list_char,U_3497)),U_3491))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_3490),fun_up1149430426on_val(U_3489,U_3493,hAPP_l207779698on_val(U_3494,U_3493)))))),red(U_3488)))
    | hAPP_l207779698on_val(U_3489,U_3493) != hAPP_val_option_val(some_val,U_3497)
    | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_3496),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_3495),fun_up1149430426on_val(U_3494,U_3493,hAPP_val_option_val(some_val,U_3492))))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_3491),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_3490),U_3489)))),red(U_3488))) ),
    inference(clausify,[status(thm)],[f_607_2]) ).

fof(f_608_1,plain,
    ! [F1,A,B] : hAPP_P1228500987ion_ty(hAPP_f46308763ion_ty(produc907433735ion_ty,F1),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,A),B)) = hAPP_f652398900ion_ty(hAPP_l2000496933ion_ty(F1,A),B),
    inference(fof_nnf,[status(thm)],[fact_466_prod_Osimps_I2_J]) ).

fof(f_608_2,plain,
    ! [U_3501,U_3500,U_3499] : hAPP_P1228500987ion_ty(hAPP_f46308763ion_ty(produc907433735ion_ty,U_3501),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_3500),U_3499)) = hAPP_f652398900ion_ty(hAPP_l2000496933ion_ty(U_3501,U_3500),U_3499),
    inference(variable_rename,[status(thm)],[f_608_1]) ).

cnf(f_608_3,plain,
    hAPP_P1228500987ion_ty(hAPP_f46308763ion_ty(produc907433735ion_ty,U_3501),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_3500),U_3499)) = hAPP_f652398900ion_ty(hAPP_l2000496933ion_ty(U_3501,U_3500),U_3499),
    inference(clausify,[status(thm)],[f_608_2]) ).

fof(f_609_1,plain,
    ! [F1,A,B] :
      ( ( hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,F1),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A),B)))
        | ~ hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(F1,A),B)) )
      & ( hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(F1,A),B))
        | ~ hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,F1),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A),B))) ) ),
    inference(fof_nnf,[status(thm)],[fact_467_prod_Osimps_I2_J]) ).

fof(f_609_2,plain,
    ! [U_3504,U_3503,U_3502] :
      ( ( hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,U_3504),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_3503),U_3502)))
        | ~ hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(U_3504,U_3503),U_3502)) )
      & ( hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(U_3504,U_3503),U_3502))
        | ~ hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,U_3504),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_3503),U_3502))) ) ),
    inference(variable_rename,[status(thm)],[f_609_1]) ).

fof(f_609_3,plain,
    ( ! [U_3510,U_3508,U_3506] :
        ( hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,U_3510),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_3508),U_3506)))
        | ~ hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(U_3510,U_3508),U_3506)) )
    & ! [U_3509,U_3507,U_3505] :
        ( hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(U_3509,U_3507),U_3505))
        | ~ hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,U_3509),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_3507),U_3505))) ) ),
    inference(miniscope,[status(thm)],[f_609_2]) ).

cnf(f_609_4,plain,
    ( hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(U_3509,U_3507),U_3505))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,U_3509),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_3507),U_3505))) ),
    inference(clausify,[status(thm)],[f_609_3]) ).

cnf(f_609_5,plain,
    ( hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,U_3510),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_3508),U_3506)))
    | ~ hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(U_3510,U_3508),U_3506)) ),
    inference(clausify,[status(thm)],[f_609_3]) ).

fof(f_610_1,plain,
    ! [F_1,A,B] : hAPP_P1228500987ion_ty(hAPP_f46308763ion_ty(produc907433735ion_ty,F_1),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,A),B)) = hAPP_f652398900ion_ty(hAPP_l2000496933ion_ty(F_1,A),B),
    inference(fof_nnf,[status(thm)],[fact_468_split__conv]) ).

fof(f_610_2,plain,
    ! [U_3513,U_3512,U_3511] : hAPP_P1228500987ion_ty(hAPP_f46308763ion_ty(produc907433735ion_ty,U_3513),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_3512),U_3511)) = hAPP_f652398900ion_ty(hAPP_l2000496933ion_ty(U_3513,U_3512),U_3511),
    inference(variable_rename,[status(thm)],[f_610_1]) ).

cnf(f_610_3,plain,
    hAPP_P1228500987ion_ty(hAPP_f46308763ion_ty(produc907433735ion_ty,U_3513),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_3512),U_3511)) = hAPP_f652398900ion_ty(hAPP_l2000496933ion_ty(U_3513,U_3512),U_3511),
    inference(clausify,[status(thm)],[f_610_2]) ).

fof(f_611_1,plain,
    ! [F_1,A,B] :
      ( ( hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,F_1),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A),B)))
        | ~ hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(F_1,A),B)) )
      & ( hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(F_1,A),B))
        | ~ hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,F_1),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A),B))) ) ),
    inference(fof_nnf,[status(thm)],[fact_469_split__conv]) ).

fof(f_611_2,plain,
    ! [U_3516,U_3515,U_3514] :
      ( ( hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,U_3516),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_3515),U_3514)))
        | ~ hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(U_3516,U_3515),U_3514)) )
      & ( hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(U_3516,U_3515),U_3514))
        | ~ hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,U_3516),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_3515),U_3514))) ) ),
    inference(variable_rename,[status(thm)],[f_611_1]) ).

fof(f_611_3,plain,
    ( ! [U_3522,U_3520,U_3518] :
        ( hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,U_3522),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_3520),U_3518)))
        | ~ hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(U_3522,U_3520),U_3518)) )
    & ! [U_3521,U_3519,U_3517] :
        ( hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(U_3521,U_3519),U_3517))
        | ~ hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,U_3521),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_3519),U_3517))) ) ),
    inference(miniscope,[status(thm)],[f_611_2]) ).

cnf(f_611_4,plain,
    ( hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(U_3521,U_3519),U_3517))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,U_3521),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_3519),U_3517))) ),
    inference(clausify,[status(thm)],[f_611_3]) ).

cnf(f_611_5,plain,
    ( hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,U_3522),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_3520),U_3518)))
    | ~ hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(U_3522,U_3520),U_3518)) ),
    inference(clausify,[status(thm)],[f_611_3]) ).

fof(f_612_1,plain,
    ! [M_1,N,K,Xx] :
      ( hAPP_l207779698on_val(map_ad325961431ar_val(M_1,N),K) = hAPP_val_option_val(some_val,Xx)
      | hAPP_l207779698on_val(N,K) != hAPP_val_option_val(some_val,Xx) ),
    inference(fof_nnf,[status(thm)],[fact_470_map__add__find__right]) ).

fof(f_612_2,plain,
    ! [U_3526,U_3525,U_3524,U_3523] :
      ( hAPP_l207779698on_val(map_ad325961431ar_val(U_3526,U_3525),U_3524) = hAPP_val_option_val(some_val,U_3523)
      | hAPP_l207779698on_val(U_3525,U_3524) != hAPP_val_option_val(some_val,U_3523) ),
    inference(variable_rename,[status(thm)],[f_612_1]) ).

cnf(f_612_3,plain,
    ( hAPP_l207779698on_val(map_ad325961431ar_val(U_3526,U_3525),U_3524) = hAPP_val_option_val(some_val,U_3523)
    | hAPP_l207779698on_val(U_3525,U_3524) != hAPP_val_option_val(some_val,U_3523) ),
    inference(clausify,[status(thm)],[f_612_2]) ).

fof(f_613_1,plain,
    ! [X_2,A_2] :
      ( ( hBOOL(hAPP_f483496539l_bool(hAPP_P7095645l_bool(member1601084734t_char,X_2),A_2))
        | ~ hBOOL(hAPP_P1384137393r_bool(A_2,X_2)) )
      & ( hBOOL(hAPP_P1384137393r_bool(A_2,X_2))
        | ~ hBOOL(hAPP_f483496539l_bool(hAPP_P7095645l_bool(member1601084734t_char,X_2),A_2)) ) ),
    inference(fof_nnf,[status(thm)],[fact_471_mem__def]) ).

fof(f_613_2,plain,
    ! [U_3528,U_3527] :
      ( ( hBOOL(hAPP_f483496539l_bool(hAPP_P7095645l_bool(member1601084734t_char,U_3528),U_3527))
        | ~ hBOOL(hAPP_P1384137393r_bool(U_3527,U_3528)) )
      & ( hBOOL(hAPP_P1384137393r_bool(U_3527,U_3528))
        | ~ hBOOL(hAPP_f483496539l_bool(hAPP_P7095645l_bool(member1601084734t_char,U_3528),U_3527)) ) ),
    inference(variable_rename,[status(thm)],[f_613_1]) ).

fof(f_613_3,plain,
    ( ! [U_3532,U_3530] :
        ( hBOOL(hAPP_f483496539l_bool(hAPP_P7095645l_bool(member1601084734t_char,U_3532),U_3530))
        | ~ hBOOL(hAPP_P1384137393r_bool(U_3530,U_3532)) )
    & ! [U_3531,U_3529] :
        ( hBOOL(hAPP_P1384137393r_bool(U_3529,U_3531))
        | ~ hBOOL(hAPP_f483496539l_bool(hAPP_P7095645l_bool(member1601084734t_char,U_3531),U_3529)) ) ),
    inference(miniscope,[status(thm)],[f_613_2]) ).

cnf(f_613_4,plain,
    ( hBOOL(hAPP_P1384137393r_bool(U_3529,U_3531))
    | ~ hBOOL(hAPP_f483496539l_bool(hAPP_P7095645l_bool(member1601084734t_char,U_3531),U_3529)) ),
    inference(clausify,[status(thm)],[f_613_3]) ).

cnf(f_613_5,plain,
    ( hBOOL(hAPP_f483496539l_bool(hAPP_P7095645l_bool(member1601084734t_char,U_3532),U_3530))
    | ~ hBOOL(hAPP_P1384137393r_bool(U_3530,U_3532)) ),
    inference(clausify,[status(thm)],[f_613_3]) ).

fof(f_614_1,plain,
    ! [X_2,A_2] :
      ( ( hBOOL(hAPP_f515912112l_bool(hAPP_P205570445l_bool(member1467889965t_char,X_2),A_2))
        | ~ hBOOL(hAPP_P1680401186r_bool(A_2,X_2)) )
      & ( hBOOL(hAPP_P1680401186r_bool(A_2,X_2))
        | ~ hBOOL(hAPP_f515912112l_bool(hAPP_P205570445l_bool(member1467889965t_char,X_2),A_2)) ) ),
    inference(fof_nnf,[status(thm)],[fact_472_mem__def]) ).

fof(f_614_2,plain,
    ! [U_3534,U_3533] :
      ( ( hBOOL(hAPP_f515912112l_bool(hAPP_P205570445l_bool(member1467889965t_char,U_3534),U_3533))
        | ~ hBOOL(hAPP_P1680401186r_bool(U_3533,U_3534)) )
      & ( hBOOL(hAPP_P1680401186r_bool(U_3533,U_3534))
        | ~ hBOOL(hAPP_f515912112l_bool(hAPP_P205570445l_bool(member1467889965t_char,U_3534),U_3533)) ) ),
    inference(variable_rename,[status(thm)],[f_614_1]) ).

fof(f_614_3,plain,
    ( ! [U_3538,U_3536] :
        ( hBOOL(hAPP_f515912112l_bool(hAPP_P205570445l_bool(member1467889965t_char,U_3538),U_3536))
        | ~ hBOOL(hAPP_P1680401186r_bool(U_3536,U_3538)) )
    & ! [U_3537,U_3535] :
        ( hBOOL(hAPP_P1680401186r_bool(U_3535,U_3537))
        | ~ hBOOL(hAPP_f515912112l_bool(hAPP_P205570445l_bool(member1467889965t_char,U_3537),U_3535)) ) ),
    inference(miniscope,[status(thm)],[f_614_2]) ).

cnf(f_614_4,plain,
    ( hBOOL(hAPP_P1680401186r_bool(U_3535,U_3537))
    | ~ hBOOL(hAPP_f515912112l_bool(hAPP_P205570445l_bool(member1467889965t_char,U_3537),U_3535)) ),
    inference(clausify,[status(thm)],[f_614_3]) ).

cnf(f_614_5,plain,
    ( hBOOL(hAPP_f515912112l_bool(hAPP_P205570445l_bool(member1467889965t_char,U_3538),U_3536))
    | ~ hBOOL(hAPP_P1680401186r_bool(U_3536,U_3538)) ),
    inference(clausify,[status(thm)],[f_614_3]) ).

fof(f_615_1,plain,
    ! [X_2,A_2] :
      ( ( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,X_2),A_2))
        | ~ hBOOL(hAPP_P1333315679l_bool(A_2,X_2)) )
      & ( hBOOL(hAPP_P1333315679l_bool(A_2,X_2))
        | ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,X_2),A_2)) ) ),
    inference(fof_nnf,[status(thm)],[fact_473_mem__def]) ).

fof(f_615_2,plain,
    ! [U_3540,U_3539] :
      ( ( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,U_3540),U_3539))
        | ~ hBOOL(hAPP_P1333315679l_bool(U_3539,U_3540)) )
      & ( hBOOL(hAPP_P1333315679l_bool(U_3539,U_3540))
        | ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,U_3540),U_3539)) ) ),
    inference(variable_rename,[status(thm)],[f_615_1]) ).

fof(f_615_3,plain,
    ( ! [U_3544,U_3542] :
        ( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,U_3544),U_3542))
        | ~ hBOOL(hAPP_P1333315679l_bool(U_3542,U_3544)) )
    & ! [U_3543,U_3541] :
        ( hBOOL(hAPP_P1333315679l_bool(U_3541,U_3543))
        | ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,U_3543),U_3541)) ) ),
    inference(miniscope,[status(thm)],[f_615_2]) ).

cnf(f_615_4,plain,
    ( hBOOL(hAPP_P1333315679l_bool(U_3541,U_3543))
    | ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,U_3543),U_3541)) ),
    inference(clausify,[status(thm)],[f_615_3]) ).

cnf(f_615_5,plain,
    ( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,U_3544),U_3542))
    | ~ hBOOL(hAPP_P1333315679l_bool(U_3542,U_3544)) ),
    inference(clausify,[status(thm)],[f_615_3]) ).

fof(f_616_1,plain,
    ! [X_2,A_2] :
      ( ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_2),A_2))
        | ~ hBOOL(hAPP_nat_bool(A_2,X_2)) )
      & ( hBOOL(hAPP_nat_bool(A_2,X_2))
        | ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_2),A_2)) ) ),
    inference(fof_nnf,[status(thm)],[fact_474_mem__def]) ).

fof(f_616_2,plain,
    ! [U_3546,U_3545] :
      ( ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,U_3546),U_3545))
        | ~ hBOOL(hAPP_nat_bool(U_3545,U_3546)) )
      & ( hBOOL(hAPP_nat_bool(U_3545,U_3546))
        | ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,U_3546),U_3545)) ) ),
    inference(variable_rename,[status(thm)],[f_616_1]) ).

fof(f_616_3,plain,
    ( ! [U_3550,U_3548] :
        ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,U_3550),U_3548))
        | ~ hBOOL(hAPP_nat_bool(U_3548,U_3550)) )
    & ! [U_3549,U_3547] :
        ( hBOOL(hAPP_nat_bool(U_3547,U_3549))
        | ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,U_3549),U_3547)) ) ),
    inference(miniscope,[status(thm)],[f_616_2]) ).

cnf(f_616_4,plain,
    ( hBOOL(hAPP_nat_bool(U_3547,U_3549))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,U_3549),U_3547)) ),
    inference(clausify,[status(thm)],[f_616_3]) ).

cnf(f_616_5,plain,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,U_3550),U_3548))
    | ~ hBOOL(hAPP_nat_bool(U_3548,U_3550)) ),
    inference(clausify,[status(thm)],[f_616_3]) ).

fof(f_617_1,plain,
    ! [X_2,A_2] :
      ( ( hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,X_2),A_2))
        | ~ hBOOL(hAPP_P449474095r_bool(A_2,X_2)) )
      & ( hBOOL(hAPP_P449474095r_bool(A_2,X_2))
        | ~ hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,X_2),A_2)) ) ),
    inference(fof_nnf,[status(thm)],[fact_475_mem__def]) ).

fof(f_617_2,plain,
    ! [U_3552,U_3551] :
      ( ( hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,U_3552),U_3551))
        | ~ hBOOL(hAPP_P449474095r_bool(U_3551,U_3552)) )
      & ( hBOOL(hAPP_P449474095r_bool(U_3551,U_3552))
        | ~ hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,U_3552),U_3551)) ) ),
    inference(variable_rename,[status(thm)],[f_617_1]) ).

fof(f_617_3,plain,
    ( ! [U_3556,U_3554] :
        ( hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,U_3556),U_3554))
        | ~ hBOOL(hAPP_P449474095r_bool(U_3554,U_3556)) )
    & ! [U_3555,U_3553] :
        ( hBOOL(hAPP_P449474095r_bool(U_3553,U_3555))
        | ~ hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,U_3555),U_3553)) ) ),
    inference(miniscope,[status(thm)],[f_617_2]) ).

cnf(f_617_4,plain,
    ( hBOOL(hAPP_P449474095r_bool(U_3553,U_3555))
    | ~ hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,U_3555),U_3553)) ),
    inference(clausify,[status(thm)],[f_617_3]) ).

cnf(f_617_5,plain,
    ( hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,U_3556),U_3554))
    | ~ hBOOL(hAPP_P449474095r_bool(U_3554,U_3556)) ),
    inference(clausify,[status(thm)],[f_617_3]) ).

fof(f_618_1,plain,
    ! [X_2,A_2] :
      ( ( hBOOL(hAPP_f986089162l_bool(hAPP_l1903254203l_bool(member_list_char,X_2),A_2))
        | ~ hBOOL(hAPP_list_char_bool(A_2,X_2)) )
      & ( hBOOL(hAPP_list_char_bool(A_2,X_2))
        | ~ hBOOL(hAPP_f986089162l_bool(hAPP_l1903254203l_bool(member_list_char,X_2),A_2)) ) ),
    inference(fof_nnf,[status(thm)],[fact_476_mem__def]) ).

fof(f_618_2,plain,
    ! [U_3558,U_3557] :
      ( ( hBOOL(hAPP_f986089162l_bool(hAPP_l1903254203l_bool(member_list_char,U_3558),U_3557))
        | ~ hBOOL(hAPP_list_char_bool(U_3557,U_3558)) )
      & ( hBOOL(hAPP_list_char_bool(U_3557,U_3558))
        | ~ hBOOL(hAPP_f986089162l_bool(hAPP_l1903254203l_bool(member_list_char,U_3558),U_3557)) ) ),
    inference(variable_rename,[status(thm)],[f_618_1]) ).

fof(f_618_3,plain,
    ( ! [U_3562,U_3560] :
        ( hBOOL(hAPP_f986089162l_bool(hAPP_l1903254203l_bool(member_list_char,U_3562),U_3560))
        | ~ hBOOL(hAPP_list_char_bool(U_3560,U_3562)) )
    & ! [U_3561,U_3559] :
        ( hBOOL(hAPP_list_char_bool(U_3559,U_3561))
        | ~ hBOOL(hAPP_f986089162l_bool(hAPP_l1903254203l_bool(member_list_char,U_3561),U_3559)) ) ),
    inference(miniscope,[status(thm)],[f_618_2]) ).

cnf(f_618_4,plain,
    ( hBOOL(hAPP_list_char_bool(U_3559,U_3561))
    | ~ hBOOL(hAPP_f986089162l_bool(hAPP_l1903254203l_bool(member_list_char,U_3561),U_3559)) ),
    inference(clausify,[status(thm)],[f_618_3]) ).

cnf(f_618_5,plain,
    ( hBOOL(hAPP_f986089162l_bool(hAPP_l1903254203l_bool(member_list_char,U_3562),U_3560))
    | ~ hBOOL(hAPP_list_char_bool(U_3560,U_3562)) ),
    inference(clausify,[status(thm)],[f_618_3]) ).

fof(f_619_1,plain,
    ! [X_2,A_2] :
      ( ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,X_2),A_2))
        | ~ hBOOL(hAPP_P282169671l_bool(A_2,X_2)) )
      & ( hBOOL(hAPP_P282169671l_bool(A_2,X_2))
        | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,X_2),A_2)) ) ),
    inference(fof_nnf,[status(thm)],[fact_477_mem__def]) ).

fof(f_619_2,plain,
    ! [U_3564,U_3563] :
      ( ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,U_3564),U_3563))
        | ~ hBOOL(hAPP_P282169671l_bool(U_3563,U_3564)) )
      & ( hBOOL(hAPP_P282169671l_bool(U_3563,U_3564))
        | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,U_3564),U_3563)) ) ),
    inference(variable_rename,[status(thm)],[f_619_1]) ).

fof(f_619_3,plain,
    ( ! [U_3568,U_3566] :
        ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,U_3568),U_3566))
        | ~ hBOOL(hAPP_P282169671l_bool(U_3566,U_3568)) )
    & ! [U_3567,U_3565] :
        ( hBOOL(hAPP_P282169671l_bool(U_3565,U_3567))
        | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,U_3567),U_3565)) ) ),
    inference(miniscope,[status(thm)],[f_619_2]) ).

cnf(f_619_4,plain,
    ( hBOOL(hAPP_P282169671l_bool(U_3565,U_3567))
    | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,U_3567),U_3565)) ),
    inference(clausify,[status(thm)],[f_619_3]) ).

cnf(f_619_5,plain,
    ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,U_3568),U_3566))
    | ~ hBOOL(hAPP_P282169671l_bool(U_3566,U_3568)) ),
    inference(clausify,[status(thm)],[f_619_3]) ).

fof(f_620_1,plain,
    ! [F_1] : hAPP_f46308763ion_ty(produc907433735ion_ty,hAPP_f802560783ion_ty(hAPP_f7643013ion_ty(cOMBB_864319000t_char,hAPP_f69964139ion_ty(cOMBB_2041093409on_val,F_1)),produc823076510on_val)) = F_1,
    inference(fof_nnf,[status(thm)],[fact_478_split__eta]) ).

fof(f_620_2,plain,
    ! [U_3569] : hAPP_f46308763ion_ty(produc907433735ion_ty,hAPP_f802560783ion_ty(hAPP_f7643013ion_ty(cOMBB_864319000t_char,hAPP_f69964139ion_ty(cOMBB_2041093409on_val,U_3569)),produc823076510on_val)) = U_3569,
    inference(variable_rename,[status(thm)],[f_620_1]) ).

cnf(f_620_3,plain,
    hAPP_f46308763ion_ty(produc907433735ion_ty,hAPP_f802560783ion_ty(hAPP_f7643013ion_ty(cOMBB_864319000t_char,hAPP_f69964139ion_ty(cOMBB_2041093409on_val,U_3569)),produc823076510on_val)) = U_3569,
    inference(clausify,[status(thm)],[f_620_2]) ).

fof(f_621_1,plain,
    ! [F_1] : hAPP_f2121594859l_bool(produc1958875245l_bool,hAPP_f1363667773l_bool(hAPP_f1050935001l_bool(cOMBB_1153617344on_val,hAPP_f2057883639l_bool(cOMBB_1750801836on_val,F_1)),produc899768717on_val)) = F_1,
    inference(fof_nnf,[status(thm)],[fact_479_split__eta]) ).

fof(f_621_2,plain,
    ! [U_3570] : hAPP_f2121594859l_bool(produc1958875245l_bool,hAPP_f1363667773l_bool(hAPP_f1050935001l_bool(cOMBB_1153617344on_val,hAPP_f2057883639l_bool(cOMBB_1750801836on_val,U_3570)),produc899768717on_val)) = U_3570,
    inference(variable_rename,[status(thm)],[f_621_1]) ).

cnf(f_621_3,plain,
    hAPP_f2121594859l_bool(produc1958875245l_bool,hAPP_f1363667773l_bool(hAPP_f1050935001l_bool(cOMBB_1153617344on_val,hAPP_f2057883639l_bool(cOMBB_1750801836on_val,U_3570)),produc899768717on_val)) = U_3570,
    inference(clausify,[status(thm)],[f_621_2]) ).

fof(f_622_1,plain,
    ! [Va_1,Eb,S,E_b,S_2,Pa] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,lAss_list_char(Va_1,Eb)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,lAss_list_char(Va_1,E_b)),S_2))),red(Pa)))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_2))),red(Pa))) ),
    inference(fof_nnf,[status(thm)],[fact_480_red__reds_OLAssRed]) ).

fof(f_622_2,plain,
    ! [U_3576,U_3575,U_3574,U_3573,U_3572,U_3571] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,lAss_list_char(U_3576,U_3575)),U_3574)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,lAss_list_char(U_3576,U_3573)),U_3572))),red(U_3571)))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_3575),U_3574)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_3573),U_3572))),red(U_3571))) ),
    inference(variable_rename,[status(thm)],[f_622_1]) ).

cnf(f_622_3,plain,
    ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,lAss_list_char(U_3576,U_3575)),U_3574)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,lAss_list_char(U_3576,U_3573)),U_3572))),red(U_3571)))
    | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_3575),U_3574)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_3573),U_3572))),red(U_3571))) ),
    inference(clausify,[status(thm)],[f_622_2]) ).

fof(f_623_1,plain,
    ! [E_2,Eb,S,E_b,S_2,Pa] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,seq_list_char(Eb,E_2)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,seq_list_char(E_b,E_2)),S_2))),red(Pa)))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_2))),red(Pa))) ),
    inference(fof_nnf,[status(thm)],[fact_481_red__reds_OSeqRed]) ).

fof(f_623_2,plain,
    ! [U_3582,U_3581,U_3580,U_3579,U_3578,U_3577] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,seq_list_char(U_3581,U_3582)),U_3580)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,seq_list_char(U_3579,U_3582)),U_3578))),red(U_3577)))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_3581),U_3580)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_3579),U_3578))),red(U_3577))) ),
    inference(variable_rename,[status(thm)],[f_623_1]) ).

cnf(f_623_3,plain,
    ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,seq_list_char(U_3581,U_3582)),U_3580)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,seq_list_char(U_3579,U_3582)),U_3578))),red(U_3577)))
    | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_3581),U_3580)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_3579),U_3578))),red(U_3577))) ),
    inference(clausify,[status(thm)],[f_623_2]) ).

fof(f_624_1,plain,
    ! [F_1,A,B] :
      ( hBOOL(hAPP_P2014166431r_bool(F_1,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,A),B)))
      | ~ hBOOL(hAPP_e544220455r_bool(hAPP_l214204733r_bool(produc288369490r_bool(F_1),A),B)) ),
    inference(fof_nnf,[status(thm)],[fact_482_curryE]) ).

fof(f_624_2,plain,
    ! [U_3585,U_3584,U_3583] :
      ( hBOOL(hAPP_P2014166431r_bool(U_3585,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_3584),U_3583)))
      | ~ hBOOL(hAPP_e544220455r_bool(hAPP_l214204733r_bool(produc288369490r_bool(U_3585),U_3584),U_3583)) ),
    inference(variable_rename,[status(thm)],[f_624_1]) ).

cnf(f_624_3,plain,
    ( hBOOL(hAPP_P2014166431r_bool(U_3585,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_3584),U_3583)))
    | ~ hBOOL(hAPP_e544220455r_bool(hAPP_l214204733r_bool(produc288369490r_bool(U_3585),U_3584),U_3583)) ),
    inference(clausify,[status(thm)],[f_624_2]) ).

fof(f_625_1,plain,
    ! [F_1,A,B] :
      ( hBOOL(hAPP_P828904212r_bool(F_1,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,A),B)))
      | ~ hBOOL(hAPP_l902158906r_bool(hAPP_l24694616r_bool(produc2116052801r_bool(F_1),A),B)) ),
    inference(fof_nnf,[status(thm)],[fact_483_curryE]) ).

fof(f_625_2,plain,
    ! [U_3588,U_3587,U_3586] :
      ( hBOOL(hAPP_P828904212r_bool(U_3588,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_3587),U_3586)))
      | ~ hBOOL(hAPP_l902158906r_bool(hAPP_l24694616r_bool(produc2116052801r_bool(U_3588),U_3587),U_3586)) ),
    inference(variable_rename,[status(thm)],[f_625_1]) ).

cnf(f_625_3,plain,
    ( hBOOL(hAPP_P828904212r_bool(U_3588,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_3587),U_3586)))
    | ~ hBOOL(hAPP_l902158906r_bool(hAPP_l24694616r_bool(produc2116052801r_bool(U_3588),U_3587),U_3586)) ),
    inference(clausify,[status(thm)],[f_625_2]) ).

fof(f_626_1,plain,
    ! [F_1,A,B] :
      ( hBOOL(hAPP_P659547099r_bool(F_1,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,A),B)))
      | ~ hBOOL(hAPP_P828904212r_bool(hAPP_l1342015621r_bool(produc266042248r_bool(F_1),A),B)) ),
    inference(fof_nnf,[status(thm)],[fact_484_curryE]) ).

fof(f_626_2,plain,
    ! [U_3591,U_3590,U_3589] :
      ( hBOOL(hAPP_P659547099r_bool(U_3591,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_3590),U_3589)))
      | ~ hBOOL(hAPP_P828904212r_bool(hAPP_l1342015621r_bool(produc266042248r_bool(U_3591),U_3590),U_3589)) ),
    inference(variable_rename,[status(thm)],[f_626_1]) ).

cnf(f_626_3,plain,
    ( hBOOL(hAPP_P659547099r_bool(U_3591,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_3590),U_3589)))
    | ~ hBOOL(hAPP_P828904212r_bool(hAPP_l1342015621r_bool(produc266042248r_bool(U_3591),U_3590),U_3589)) ),
    inference(clausify,[status(thm)],[f_626_2]) ).

fof(f_627_1,plain,
    ! [F_1,A,B] :
      ( hBOOL(hAPP_P1680401186r_bool(F_1,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,A),B)))
      | ~ hBOOL(hAPP_P659547099r_bool(hAPP_l2140727500r_bool(produc1588781647r_bool(F_1),A),B)) ),
    inference(fof_nnf,[status(thm)],[fact_485_curryE]) ).

fof(f_627_2,plain,
    ! [U_3594,U_3593,U_3592] :
      ( hBOOL(hAPP_P1680401186r_bool(U_3594,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_3593),U_3592)))
      | ~ hBOOL(hAPP_P659547099r_bool(hAPP_l2140727500r_bool(produc1588781647r_bool(U_3594),U_3593),U_3592)) ),
    inference(variable_rename,[status(thm)],[f_627_1]) ).

cnf(f_627_3,plain,
    ( hBOOL(hAPP_P1680401186r_bool(U_3594,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_3593),U_3592)))
    | ~ hBOOL(hAPP_P659547099r_bool(hAPP_l2140727500r_bool(produc1588781647r_bool(U_3594),U_3593),U_3592)) ),
    inference(clausify,[status(thm)],[f_627_2]) ).

fof(f_628_1,plain,
    ! [F_1,A,B] :
      ( hBOOL(hAPP_P2118621157r_bool(F_1,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,A),B)))
      | ~ hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(produc550034914r_bool(F_1),A),B)) ),
    inference(fof_nnf,[status(thm)],[fact_486_curryE]) ).

fof(f_628_2,plain,
    ! [U_3597,U_3596,U_3595] :
      ( hBOOL(hAPP_P2118621157r_bool(U_3597,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_3596),U_3595)))
      | ~ hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(produc550034914r_bool(U_3597),U_3596),U_3595)) ),
    inference(variable_rename,[status(thm)],[f_628_1]) ).

cnf(f_628_3,plain,
    ( hBOOL(hAPP_P2118621157r_bool(U_3597,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_3596),U_3595)))
    | ~ hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(produc550034914r_bool(U_3597),U_3596),U_3595)) ),
    inference(clausify,[status(thm)],[f_628_2]) ).

fof(f_629_1,plain,
    ! [F_1,A,B] :
      ( hBOOL(hAPP_P1907982426r_bool(F_1,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,A),B)))
      | ~ hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(produc156891095r_bool(F_1),A),B)) ),
    inference(fof_nnf,[status(thm)],[fact_487_curryE]) ).

fof(f_629_2,plain,
    ! [U_3600,U_3599,U_3598] :
      ( hBOOL(hAPP_P1907982426r_bool(U_3600,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_3599),U_3598)))
      | ~ hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(produc156891095r_bool(U_3600),U_3599),U_3598)) ),
    inference(variable_rename,[status(thm)],[f_629_1]) ).

cnf(f_629_3,plain,
    ( hBOOL(hAPP_P1907982426r_bool(U_3600,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_3599),U_3598)))
    | ~ hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(produc156891095r_bool(U_3600),U_3599),U_3598)) ),
    inference(clausify,[status(thm)],[f_629_2]) ).

fof(f_630_1,plain,
    ! [F_1,A,B] :
      ( hBOOL(hAPP_P92196306r_bool(F_1,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,A),B)))
      | ~ hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(produc1574020101r_bool(F_1),A),B)) ),
    inference(fof_nnf,[status(thm)],[fact_488_curryE]) ).

fof(f_630_2,plain,
    ! [U_3603,U_3602,U_3601] :
      ( hBOOL(hAPP_P92196306r_bool(U_3603,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_3602),U_3601)))
      | ~ hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(produc1574020101r_bool(U_3603),U_3602),U_3601)) ),
    inference(variable_rename,[status(thm)],[f_630_1]) ).

cnf(f_630_3,plain,
    ( hBOOL(hAPP_P92196306r_bool(U_3603,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_3602),U_3601)))
    | ~ hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(produc1574020101r_bool(U_3603),U_3602),U_3601)) ),
    inference(clausify,[status(thm)],[f_630_2]) ).

fof(f_631_1,plain,
    ! [F_1,A,B] :
      ( hBOOL(hAPP_P71593144l_bool(F_1,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,A),B)))
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(produc1838470831l_bool(F_1),A),B)) ),
    inference(fof_nnf,[status(thm)],[fact_489_curryE]) ).

fof(f_631_2,plain,
    ! [U_3606,U_3605,U_3604] :
      ( hBOOL(hAPP_P71593144l_bool(U_3606,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_3605),U_3604)))
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(produc1838470831l_bool(U_3606),U_3605),U_3604)) ),
    inference(variable_rename,[status(thm)],[f_631_1]) ).

cnf(f_631_3,plain,
    ( hBOOL(hAPP_P71593144l_bool(U_3606,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_3605),U_3604)))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(produc1838470831l_bool(U_3606),U_3605),U_3604)) ),
    inference(clausify,[status(thm)],[f_631_2]) ).

fof(f_632_1,plain,
    ! [F_1,A,B] :
      ( hBOOL(hAPP_P1333315679l_bool(F_1,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A),B)))
      | ~ hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(produc2053127004l_bool(F_1),A),B)) ),
    inference(fof_nnf,[status(thm)],[fact_490_curryE]) ).

fof(f_632_2,plain,
    ! [U_3609,U_3608,U_3607] :
      ( hBOOL(hAPP_P1333315679l_bool(U_3609,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_3608),U_3607)))
      | ~ hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(produc2053127004l_bool(U_3609),U_3608),U_3607)) ),
    inference(variable_rename,[status(thm)],[f_632_1]) ).

cnf(f_632_3,plain,
    ( hBOOL(hAPP_P1333315679l_bool(U_3609,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_3608),U_3607)))
    | ~ hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(produc2053127004l_bool(U_3609),U_3608),U_3607)) ),
    inference(clausify,[status(thm)],[f_632_2]) ).

fof(f_633_1,plain,
    ! [F_1,A,B] :
      ( hBOOL(hAPP_P929938951l_bool(F_1,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A),B)))
      | ~ hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(produc886919678l_bool(F_1),A),B)) ),
    inference(fof_nnf,[status(thm)],[fact_491_curryE]) ).

fof(f_633_2,plain,
    ! [U_3612,U_3611,U_3610] :
      ( hBOOL(hAPP_P929938951l_bool(U_3612,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_3611),U_3610)))
      | ~ hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(produc886919678l_bool(U_3612),U_3611),U_3610)) ),
    inference(variable_rename,[status(thm)],[f_633_1]) ).

cnf(f_633_3,plain,
    ( hBOOL(hAPP_P929938951l_bool(U_3612,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_3611),U_3610)))
    | ~ hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(produc886919678l_bool(U_3612),U_3611),U_3610)) ),
    inference(clausify,[status(thm)],[f_633_2]) ).

fof(f_634_1,plain,
    ! [F_1,A,B] :
      ( hBOOL(hAPP_P943837928l_bool(F_1,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,A),B)))
      | ~ hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(produc1555310053l_bool(F_1),A),B)) ),
    inference(fof_nnf,[status(thm)],[fact_492_curryE]) ).

fof(f_634_2,plain,
    ! [U_3615,U_3614,U_3613] :
      ( hBOOL(hAPP_P943837928l_bool(U_3615,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_3614),U_3613)))
      | ~ hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(produc1555310053l_bool(U_3615),U_3614),U_3613)) ),
    inference(variable_rename,[status(thm)],[f_634_1]) ).

cnf(f_634_3,plain,
    ( hBOOL(hAPP_P943837928l_bool(U_3615,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_3614),U_3613)))
    | ~ hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(produc1555310053l_bool(U_3615),U_3614),U_3613)) ),
    inference(clausify,[status(thm)],[f_634_2]) ).

fof(f_635_1,plain,
    ! [F_1,A,B] :
      ( hBOOL(hAPP_P449474095r_bool(F_1,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A),B)))
      | ~ hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(produc95371820r_bool(F_1),A),B)) ),
    inference(fof_nnf,[status(thm)],[fact_493_curryE]) ).

fof(f_635_2,plain,
    ! [U_3618,U_3617,U_3616] :
      ( hBOOL(hAPP_P449474095r_bool(U_3618,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_3617),U_3616)))
      | ~ hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(produc95371820r_bool(U_3618),U_3617),U_3616)) ),
    inference(variable_rename,[status(thm)],[f_635_1]) ).

cnf(f_635_3,plain,
    ( hBOOL(hAPP_P449474095r_bool(U_3618,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_3617),U_3616)))
    | ~ hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(produc95371820r_bool(U_3618),U_3617),U_3616)) ),
    inference(clausify,[status(thm)],[f_635_2]) ).

fof(f_636_1,plain,
    ! [F_1,A,B] :
      ( hBOOL(hAPP_P1235399154l_bool(F_1,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,A),B)))
      | ~ hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(produc481748255l_bool(F_1),A),B)) ),
    inference(fof_nnf,[status(thm)],[fact_494_curryE]) ).

fof(f_636_2,plain,
    ! [U_3621,U_3620,U_3619] :
      ( hBOOL(hAPP_P1235399154l_bool(U_3621,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_3620),U_3619)))
      | ~ hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(produc481748255l_bool(U_3621),U_3620),U_3619)) ),
    inference(variable_rename,[status(thm)],[f_636_1]) ).

cnf(f_636_3,plain,
    ( hBOOL(hAPP_P1235399154l_bool(U_3621,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_3620),U_3619)))
    | ~ hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(produc481748255l_bool(U_3621),U_3620),U_3619)) ),
    inference(clausify,[status(thm)],[f_636_2]) ).

fof(f_637_1,plain,
    ! [F_1,A,B] :
      ( hBOOL(hAPP_P159683425l_bool(F_1,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A),B)))
      | ~ hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(produc2062775566l_bool(F_1),A),B)) ),
    inference(fof_nnf,[status(thm)],[fact_495_curryE]) ).

fof(f_637_2,plain,
    ! [U_3624,U_3623,U_3622] :
      ( hBOOL(hAPP_P159683425l_bool(U_3624,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_3623),U_3622)))
      | ~ hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(produc2062775566l_bool(U_3624),U_3623),U_3622)) ),
    inference(variable_rename,[status(thm)],[f_637_1]) ).

cnf(f_637_3,plain,
    ( hBOOL(hAPP_P159683425l_bool(U_3624,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_3623),U_3622)))
    | ~ hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(produc2062775566l_bool(U_3624),U_3623),U_3622)) ),
    inference(clausify,[status(thm)],[f_637_2]) ).

fof(f_638_1,plain,
    ! [F_1,A,B] :
      ( hBOOL(hAPP_P1708370145l_bool(F_1,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A),B)))
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(produc1911975310l_bool(F_1),A),B)) ),
    inference(fof_nnf,[status(thm)],[fact_496_curryE]) ).

fof(f_638_2,plain,
    ! [U_3627,U_3626,U_3625] :
      ( hBOOL(hAPP_P1708370145l_bool(U_3627,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_3626),U_3625)))
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(produc1911975310l_bool(U_3627),U_3626),U_3625)) ),
    inference(variable_rename,[status(thm)],[f_638_1]) ).

cnf(f_638_3,plain,
    ( hBOOL(hAPP_P1708370145l_bool(U_3627,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_3626),U_3625)))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(produc1911975310l_bool(U_3627),U_3626),U_3625)) ),
    inference(clausify,[status(thm)],[f_638_2]) ).

fof(f_639_1,plain,
    ! [F_1,A,B] :
      ( hBOOL(hAPP_P282169671l_bool(F_1,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A),B)))
      | ~ hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(produc1159035454l_bool(F_1),A),B)) ),
    inference(fof_nnf,[status(thm)],[fact_497_curryE]) ).

fof(f_639_2,plain,
    ! [U_3630,U_3629,U_3628] :
      ( hBOOL(hAPP_P282169671l_bool(U_3630,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_3629),U_3628)))
      | ~ hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(produc1159035454l_bool(U_3630),U_3629),U_3628)) ),
    inference(variable_rename,[status(thm)],[f_639_1]) ).

cnf(f_639_3,plain,
    ( hBOOL(hAPP_P282169671l_bool(U_3630,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_3629),U_3628)))
    | ~ hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(produc1159035454l_bool(U_3630),U_3629),U_3628)) ),
    inference(clausify,[status(thm)],[f_639_2]) ).

fof(f_640_1,plain,
    ! [F_1,A,B] :
      ( hBOOL(hAPP_P2014166431r_bool(F_1,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,A),B)))
      | ~ hBOOL(hAPP_e544220455r_bool(hAPP_l214204733r_bool(produc288369490r_bool(F_1),A),B)) ),
    inference(fof_nnf,[status(thm)],[fact_498_curryD]) ).

fof(f_640_2,plain,
    ! [U_3633,U_3632,U_3631] :
      ( hBOOL(hAPP_P2014166431r_bool(U_3633,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_3632),U_3631)))
      | ~ hBOOL(hAPP_e544220455r_bool(hAPP_l214204733r_bool(produc288369490r_bool(U_3633),U_3632),U_3631)) ),
    inference(variable_rename,[status(thm)],[f_640_1]) ).

cnf(f_640_3,plain,
    ( hBOOL(hAPP_P2014166431r_bool(U_3633,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_3632),U_3631)))
    | ~ hBOOL(hAPP_e544220455r_bool(hAPP_l214204733r_bool(produc288369490r_bool(U_3633),U_3632),U_3631)) ),
    inference(clausify,[status(thm)],[f_640_2]) ).

fof(f_641_1,plain,
    ! [F_1,A,B] :
      ( hBOOL(hAPP_P828904212r_bool(F_1,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,A),B)))
      | ~ hBOOL(hAPP_l902158906r_bool(hAPP_l24694616r_bool(produc2116052801r_bool(F_1),A),B)) ),
    inference(fof_nnf,[status(thm)],[fact_499_curryD]) ).

fof(f_641_2,plain,
    ! [U_3636,U_3635,U_3634] :
      ( hBOOL(hAPP_P828904212r_bool(U_3636,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_3635),U_3634)))
      | ~ hBOOL(hAPP_l902158906r_bool(hAPP_l24694616r_bool(produc2116052801r_bool(U_3636),U_3635),U_3634)) ),
    inference(variable_rename,[status(thm)],[f_641_1]) ).

cnf(f_641_3,plain,
    ( hBOOL(hAPP_P828904212r_bool(U_3636,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_3635),U_3634)))
    | ~ hBOOL(hAPP_l902158906r_bool(hAPP_l24694616r_bool(produc2116052801r_bool(U_3636),U_3635),U_3634)) ),
    inference(clausify,[status(thm)],[f_641_2]) ).

fof(f_642_1,plain,
    ! [F_1,A,B] :
      ( hBOOL(hAPP_P659547099r_bool(F_1,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,A),B)))
      | ~ hBOOL(hAPP_P828904212r_bool(hAPP_l1342015621r_bool(produc266042248r_bool(F_1),A),B)) ),
    inference(fof_nnf,[status(thm)],[fact_500_curryD]) ).

fof(f_642_2,plain,
    ! [U_3639,U_3638,U_3637] :
      ( hBOOL(hAPP_P659547099r_bool(U_3639,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_3638),U_3637)))
      | ~ hBOOL(hAPP_P828904212r_bool(hAPP_l1342015621r_bool(produc266042248r_bool(U_3639),U_3638),U_3637)) ),
    inference(variable_rename,[status(thm)],[f_642_1]) ).

cnf(f_642_3,plain,
    ( hBOOL(hAPP_P659547099r_bool(U_3639,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_3638),U_3637)))
    | ~ hBOOL(hAPP_P828904212r_bool(hAPP_l1342015621r_bool(produc266042248r_bool(U_3639),U_3638),U_3637)) ),
    inference(clausify,[status(thm)],[f_642_2]) ).

fof(f_643_1,plain,
    ! [F_1,A,B] :
      ( hBOOL(hAPP_P1680401186r_bool(F_1,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,A),B)))
      | ~ hBOOL(hAPP_P659547099r_bool(hAPP_l2140727500r_bool(produc1588781647r_bool(F_1),A),B)) ),
    inference(fof_nnf,[status(thm)],[fact_501_curryD]) ).

fof(f_643_2,plain,
    ! [U_3642,U_3641,U_3640] :
      ( hBOOL(hAPP_P1680401186r_bool(U_3642,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_3641),U_3640)))
      | ~ hBOOL(hAPP_P659547099r_bool(hAPP_l2140727500r_bool(produc1588781647r_bool(U_3642),U_3641),U_3640)) ),
    inference(variable_rename,[status(thm)],[f_643_1]) ).

cnf(f_643_3,plain,
    ( hBOOL(hAPP_P1680401186r_bool(U_3642,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_3641),U_3640)))
    | ~ hBOOL(hAPP_P659547099r_bool(hAPP_l2140727500r_bool(produc1588781647r_bool(U_3642),U_3641),U_3640)) ),
    inference(clausify,[status(thm)],[f_643_2]) ).

fof(f_644_1,plain,
    ! [F_1,A,B] :
      ( hBOOL(hAPP_P2118621157r_bool(F_1,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,A),B)))
      | ~ hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(produc550034914r_bool(F_1),A),B)) ),
    inference(fof_nnf,[status(thm)],[fact_502_curryD]) ).

fof(f_644_2,plain,
    ! [U_3645,U_3644,U_3643] :
      ( hBOOL(hAPP_P2118621157r_bool(U_3645,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_3644),U_3643)))
      | ~ hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(produc550034914r_bool(U_3645),U_3644),U_3643)) ),
    inference(variable_rename,[status(thm)],[f_644_1]) ).

cnf(f_644_3,plain,
    ( hBOOL(hAPP_P2118621157r_bool(U_3645,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_3644),U_3643)))
    | ~ hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(produc550034914r_bool(U_3645),U_3644),U_3643)) ),
    inference(clausify,[status(thm)],[f_644_2]) ).

fof(f_645_1,plain,
    ! [F_1,A,B] :
      ( hBOOL(hAPP_P1907982426r_bool(F_1,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,A),B)))
      | ~ hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(produc156891095r_bool(F_1),A),B)) ),
    inference(fof_nnf,[status(thm)],[fact_503_curryD]) ).

fof(f_645_2,plain,
    ! [U_3648,U_3647,U_3646] :
      ( hBOOL(hAPP_P1907982426r_bool(U_3648,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_3647),U_3646)))
      | ~ hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(produc156891095r_bool(U_3648),U_3647),U_3646)) ),
    inference(variable_rename,[status(thm)],[f_645_1]) ).

cnf(f_645_3,plain,
    ( hBOOL(hAPP_P1907982426r_bool(U_3648,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_3647),U_3646)))
    | ~ hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(produc156891095r_bool(U_3648),U_3647),U_3646)) ),
    inference(clausify,[status(thm)],[f_645_2]) ).

fof(f_646_1,plain,
    ! [F_1,A,B] :
      ( hBOOL(hAPP_P92196306r_bool(F_1,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,A),B)))
      | ~ hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(produc1574020101r_bool(F_1),A),B)) ),
    inference(fof_nnf,[status(thm)],[fact_504_curryD]) ).

fof(f_646_2,plain,
    ! [U_3651,U_3650,U_3649] :
      ( hBOOL(hAPP_P92196306r_bool(U_3651,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_3650),U_3649)))
      | ~ hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(produc1574020101r_bool(U_3651),U_3650),U_3649)) ),
    inference(variable_rename,[status(thm)],[f_646_1]) ).

cnf(f_646_3,plain,
    ( hBOOL(hAPP_P92196306r_bool(U_3651,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_3650),U_3649)))
    | ~ hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(produc1574020101r_bool(U_3651),U_3650),U_3649)) ),
    inference(clausify,[status(thm)],[f_646_2]) ).

fof(f_647_1,plain,
    ! [F_1,A,B] :
      ( hBOOL(hAPP_P71593144l_bool(F_1,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,A),B)))
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(produc1838470831l_bool(F_1),A),B)) ),
    inference(fof_nnf,[status(thm)],[fact_505_curryD]) ).

fof(f_647_2,plain,
    ! [U_3654,U_3653,U_3652] :
      ( hBOOL(hAPP_P71593144l_bool(U_3654,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_3653),U_3652)))
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(produc1838470831l_bool(U_3654),U_3653),U_3652)) ),
    inference(variable_rename,[status(thm)],[f_647_1]) ).

cnf(f_647_3,plain,
    ( hBOOL(hAPP_P71593144l_bool(U_3654,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_3653),U_3652)))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(produc1838470831l_bool(U_3654),U_3653),U_3652)) ),
    inference(clausify,[status(thm)],[f_647_2]) ).

fof(f_648_1,plain,
    ! [F_1,A,B] :
      ( hBOOL(hAPP_P1333315679l_bool(F_1,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A),B)))
      | ~ hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(produc2053127004l_bool(F_1),A),B)) ),
    inference(fof_nnf,[status(thm)],[fact_506_curryD]) ).

fof(f_648_2,plain,
    ! [U_3657,U_3656,U_3655] :
      ( hBOOL(hAPP_P1333315679l_bool(U_3657,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_3656),U_3655)))
      | ~ hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(produc2053127004l_bool(U_3657),U_3656),U_3655)) ),
    inference(variable_rename,[status(thm)],[f_648_1]) ).

cnf(f_648_3,plain,
    ( hBOOL(hAPP_P1333315679l_bool(U_3657,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_3656),U_3655)))
    | ~ hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(produc2053127004l_bool(U_3657),U_3656),U_3655)) ),
    inference(clausify,[status(thm)],[f_648_2]) ).

fof(f_649_1,plain,
    ! [F_1,A,B] :
      ( hBOOL(hAPP_P929938951l_bool(F_1,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A),B)))
      | ~ hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(produc886919678l_bool(F_1),A),B)) ),
    inference(fof_nnf,[status(thm)],[fact_507_curryD]) ).

fof(f_649_2,plain,
    ! [U_3660,U_3659,U_3658] :
      ( hBOOL(hAPP_P929938951l_bool(U_3660,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_3659),U_3658)))
      | ~ hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(produc886919678l_bool(U_3660),U_3659),U_3658)) ),
    inference(variable_rename,[status(thm)],[f_649_1]) ).

cnf(f_649_3,plain,
    ( hBOOL(hAPP_P929938951l_bool(U_3660,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_3659),U_3658)))
    | ~ hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(produc886919678l_bool(U_3660),U_3659),U_3658)) ),
    inference(clausify,[status(thm)],[f_649_2]) ).

fof(f_650_1,plain,
    ! [F_1,A,B] :
      ( hBOOL(hAPP_P943837928l_bool(F_1,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,A),B)))
      | ~ hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(produc1555310053l_bool(F_1),A),B)) ),
    inference(fof_nnf,[status(thm)],[fact_508_curryD]) ).

fof(f_650_2,plain,
    ! [U_3663,U_3662,U_3661] :
      ( hBOOL(hAPP_P943837928l_bool(U_3663,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_3662),U_3661)))
      | ~ hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(produc1555310053l_bool(U_3663),U_3662),U_3661)) ),
    inference(variable_rename,[status(thm)],[f_650_1]) ).

cnf(f_650_3,plain,
    ( hBOOL(hAPP_P943837928l_bool(U_3663,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_3662),U_3661)))
    | ~ hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(produc1555310053l_bool(U_3663),U_3662),U_3661)) ),
    inference(clausify,[status(thm)],[f_650_2]) ).

fof(f_651_1,plain,
    ! [F_1,A,B] :
      ( hBOOL(hAPP_P449474095r_bool(F_1,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A),B)))
      | ~ hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(produc95371820r_bool(F_1),A),B)) ),
    inference(fof_nnf,[status(thm)],[fact_509_curryD]) ).

fof(f_651_2,plain,
    ! [U_3666,U_3665,U_3664] :
      ( hBOOL(hAPP_P449474095r_bool(U_3666,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_3665),U_3664)))
      | ~ hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(produc95371820r_bool(U_3666),U_3665),U_3664)) ),
    inference(variable_rename,[status(thm)],[f_651_1]) ).

cnf(f_651_3,plain,
    ( hBOOL(hAPP_P449474095r_bool(U_3666,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_3665),U_3664)))
    | ~ hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(produc95371820r_bool(U_3666),U_3665),U_3664)) ),
    inference(clausify,[status(thm)],[f_651_2]) ).

fof(f_652_1,plain,
    ! [F_1,A,B] :
      ( hBOOL(hAPP_P1235399154l_bool(F_1,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,A),B)))
      | ~ hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(produc481748255l_bool(F_1),A),B)) ),
    inference(fof_nnf,[status(thm)],[fact_510_curryD]) ).

fof(f_652_2,plain,
    ! [U_3669,U_3668,U_3667] :
      ( hBOOL(hAPP_P1235399154l_bool(U_3669,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_3668),U_3667)))
      | ~ hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(produc481748255l_bool(U_3669),U_3668),U_3667)) ),
    inference(variable_rename,[status(thm)],[f_652_1]) ).

cnf(f_652_3,plain,
    ( hBOOL(hAPP_P1235399154l_bool(U_3669,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_3668),U_3667)))
    | ~ hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(produc481748255l_bool(U_3669),U_3668),U_3667)) ),
    inference(clausify,[status(thm)],[f_652_2]) ).

fof(f_653_1,plain,
    ! [F_1,A,B] :
      ( hBOOL(hAPP_P159683425l_bool(F_1,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A),B)))
      | ~ hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(produc2062775566l_bool(F_1),A),B)) ),
    inference(fof_nnf,[status(thm)],[fact_511_curryD]) ).

fof(f_653_2,plain,
    ! [U_3672,U_3671,U_3670] :
      ( hBOOL(hAPP_P159683425l_bool(U_3672,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_3671),U_3670)))
      | ~ hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(produc2062775566l_bool(U_3672),U_3671),U_3670)) ),
    inference(variable_rename,[status(thm)],[f_653_1]) ).

cnf(f_653_3,plain,
    ( hBOOL(hAPP_P159683425l_bool(U_3672,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_3671),U_3670)))
    | ~ hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(produc2062775566l_bool(U_3672),U_3671),U_3670)) ),
    inference(clausify,[status(thm)],[f_653_2]) ).

fof(f_654_1,plain,
    ! [F_1,A,B] :
      ( hBOOL(hAPP_P1708370145l_bool(F_1,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A),B)))
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(produc1911975310l_bool(F_1),A),B)) ),
    inference(fof_nnf,[status(thm)],[fact_512_curryD]) ).

fof(f_654_2,plain,
    ! [U_3675,U_3674,U_3673] :
      ( hBOOL(hAPP_P1708370145l_bool(U_3675,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_3674),U_3673)))
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(produc1911975310l_bool(U_3675),U_3674),U_3673)) ),
    inference(variable_rename,[status(thm)],[f_654_1]) ).

cnf(f_654_3,plain,
    ( hBOOL(hAPP_P1708370145l_bool(U_3675,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_3674),U_3673)))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(produc1911975310l_bool(U_3675),U_3674),U_3673)) ),
    inference(clausify,[status(thm)],[f_654_2]) ).

fof(f_655_1,plain,
    ! [F_1,A,B] :
      ( hBOOL(hAPP_P282169671l_bool(F_1,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A),B)))
      | ~ hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(produc1159035454l_bool(F_1),A),B)) ),
    inference(fof_nnf,[status(thm)],[fact_513_curryD]) ).

fof(f_655_2,plain,
    ! [U_3678,U_3677,U_3676] :
      ( hBOOL(hAPP_P282169671l_bool(U_3678,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_3677),U_3676)))
      | ~ hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(produc1159035454l_bool(U_3678),U_3677),U_3676)) ),
    inference(variable_rename,[status(thm)],[f_655_1]) ).

cnf(f_655_3,plain,
    ( hBOOL(hAPP_P282169671l_bool(U_3678,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_3677),U_3676)))
    | ~ hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(produc1159035454l_bool(U_3678),U_3677),U_3676)) ),
    inference(clausify,[status(thm)],[f_655_2]) ).

fof(f_656_1,plain,
    ! [F_1,G,X_2,Y_2] : map_ad1185064968ar_val(F_1,fun_up204312361on_val(G,X_2,hAPP_val_option_val(some_val,Y_2))) = fun_up204312361on_val(map_ad1185064968ar_val(F_1,G),X_2,hAPP_val_option_val(some_val,Y_2)),
    inference(fof_nnf,[status(thm)],[fact_514_map__add__upd]) ).

fof(f_656_2,plain,
    ! [U_3682,U_3681,U_3680,U_3679] : map_ad1185064968ar_val(U_3682,fun_up204312361on_val(U_3681,U_3680,hAPP_val_option_val(some_val,U_3679))) = fun_up204312361on_val(map_ad1185064968ar_val(U_3682,U_3681),U_3680,hAPP_val_option_val(some_val,U_3679)),
    inference(variable_rename,[status(thm)],[f_656_1]) ).

cnf(f_656_3,plain,
    map_ad1185064968ar_val(U_3682,fun_up204312361on_val(U_3681,U_3680,hAPP_val_option_val(some_val,U_3679))) = fun_up204312361on_val(map_ad1185064968ar_val(U_3682,U_3681),U_3680,hAPP_val_option_val(some_val,U_3679)),
    inference(clausify,[status(thm)],[f_656_2]) ).

fof(f_657_1,plain,
    ! [F_1,G,X_2,Y_2] : map_ad61982421on_val(F_1,fun_up2041264236on_val(G,X_2,hAPP_P1510515380on_val(some_P948696889on_val,Y_2))) = fun_up2041264236on_val(map_ad61982421on_val(F_1,G),X_2,hAPP_P1510515380on_val(some_P948696889on_val,Y_2)),
    inference(fof_nnf,[status(thm)],[fact_515_map__add__upd]) ).

fof(f_657_2,plain,
    ! [U_3686,U_3685,U_3684,U_3683] : map_ad61982421on_val(U_3686,fun_up2041264236on_val(U_3685,U_3684,hAPP_P1510515380on_val(some_P948696889on_val,U_3683))) = fun_up2041264236on_val(map_ad61982421on_val(U_3686,U_3685),U_3684,hAPP_P1510515380on_val(some_P948696889on_val,U_3683)),
    inference(variable_rename,[status(thm)],[f_657_1]) ).

cnf(f_657_3,plain,
    map_ad61982421on_val(U_3686,fun_up2041264236on_val(U_3685,U_3684,hAPP_P1510515380on_val(some_P948696889on_val,U_3683))) = fun_up2041264236on_val(map_ad61982421on_val(U_3686,U_3685),U_3684,hAPP_P1510515380on_val(some_P948696889on_val,U_3683)),
    inference(clausify,[status(thm)],[f_657_2]) ).

fof(f_658_1,plain,
    ! [F_1,G,X_2,Y_2] : map_add_list_char_ty(F_1,fun_up424764369ion_ty(G,X_2,hAPP_ty_option_ty(some_ty,Y_2))) = fun_up424764369ion_ty(map_add_list_char_ty(F_1,G),X_2,hAPP_ty_option_ty(some_ty,Y_2)),
    inference(fof_nnf,[status(thm)],[fact_516_map__add__upd]) ).

fof(f_658_2,plain,
    ! [U_3690,U_3689,U_3688,U_3687] : map_add_list_char_ty(U_3690,fun_up424764369ion_ty(U_3689,U_3688,hAPP_ty_option_ty(some_ty,U_3687))) = fun_up424764369ion_ty(map_add_list_char_ty(U_3690,U_3689),U_3688,hAPP_ty_option_ty(some_ty,U_3687)),
    inference(variable_rename,[status(thm)],[f_658_1]) ).

cnf(f_658_3,plain,
    map_add_list_char_ty(U_3690,fun_up424764369ion_ty(U_3689,U_3688,hAPP_ty_option_ty(some_ty,U_3687))) = fun_up424764369ion_ty(map_add_list_char_ty(U_3690,U_3689),U_3688,hAPP_ty_option_ty(some_ty,U_3687)),
    inference(clausify,[status(thm)],[f_658_2]) ).

fof(f_659_1,plain,
    ! [F_1,G,X_2,Y_2] : map_ad325961431ar_val(F_1,fun_up1149430426on_val(G,X_2,hAPP_val_option_val(some_val,Y_2))) = fun_up1149430426on_val(map_ad325961431ar_val(F_1,G),X_2,hAPP_val_option_val(some_val,Y_2)),
    inference(fof_nnf,[status(thm)],[fact_517_map__add__upd]) ).

fof(f_659_2,plain,
    ! [U_3694,U_3693,U_3692,U_3691] : map_ad325961431ar_val(U_3694,fun_up1149430426on_val(U_3693,U_3692,hAPP_val_option_val(some_val,U_3691))) = fun_up1149430426on_val(map_ad325961431ar_val(U_3694,U_3693),U_3692,hAPP_val_option_val(some_val,U_3691)),
    inference(variable_rename,[status(thm)],[f_659_1]) ).

cnf(f_659_3,plain,
    map_ad325961431ar_val(U_3694,fun_up1149430426on_val(U_3693,U_3692,hAPP_val_option_val(some_val,U_3691))) = fun_up1149430426on_val(map_ad325961431ar_val(U_3694,U_3693),U_3692,hAPP_val_option_val(some_val,U_3691)),
    inference(clausify,[status(thm)],[f_659_2]) ).

fof(f_660_1,plain,
    produc1577326610ion_ty = produc907433735ion_ty,
    inference(fof_nnf,[status(thm)],[fact_518_internal__split__def]) ).

cnf(f_660_2,plain,
    produc1577326610ion_ty = produc907433735ion_ty,
    inference(clausify,[status(thm)],[f_660_1]) ).

fof(f_661_1,plain,
    produc2128769400l_bool = produc1958875245l_bool,
    inference(fof_nnf,[status(thm)],[fact_519_internal__split__def]) ).

cnf(f_661_2,plain,
    produc2128769400l_bool = produc1958875245l_bool,
    inference(clausify,[status(thm)],[f_661_1]) ).

fof(f_662_1,plain,
    ! [Pa,Hb,Ea,Va_1,Ta,Eb,T_a] :
      ( hBOOL(wTrt_1(Pa,Hb,Ea,block_list_char(Va_1,Ta,Eb),T_a))
      | ~ hBOOL(wTrt_1(Pa,Hb,fun_up424764369ion_ty(Ea,Va_1,hAPP_ty_option_ty(some_ty,Ta)),Eb,T_a)) ),
    inference(fof_nnf,[status(thm)],[fact_520_WTrtBlock]) ).

fof(f_662_2,plain,
    ! [U_3701,U_3700,U_3699,U_3698,U_3697,U_3696,U_3695] :
      ( hBOOL(wTrt_1(U_3701,U_3700,U_3699,block_list_char(U_3698,U_3697,U_3696),U_3695))
      | ~ hBOOL(wTrt_1(U_3701,U_3700,fun_up424764369ion_ty(U_3699,U_3698,hAPP_ty_option_ty(some_ty,U_3697)),U_3696,U_3695)) ),
    inference(variable_rename,[status(thm)],[f_662_1]) ).

cnf(f_662_3,plain,
    ( hBOOL(wTrt_1(U_3701,U_3700,U_3699,block_list_char(U_3698,U_3697,U_3696),U_3695))
    | ~ hBOOL(wTrt_1(U_3701,U_3700,fun_up424764369ion_ty(U_3699,U_3698,hAPP_ty_option_ty(some_ty,U_3697)),U_3696,U_3695)) ),
    inference(clausify,[status(thm)],[f_662_2]) ).

fof(f_663_1,plain,
    ! [C_2,P_1] :
      ( ? [X_1,Y_1] :
          ( hBOOL(hAPP_e544220455r_bool(hAPP_l214204733r_bool(C_2,X_1),Y_1))
          & P_1 = hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,X_1),Y_1) )
      | ~ hBOOL(hAPP_P2014166431r_bool(hAPP_f1484794973r_bool(produc1732333873r_bool,C_2),P_1)) ),
    inference(fof_nnf,[status(thm)],[fact_521_splitE]) ).

fof(f_663_2,plain,
    ! [U_3705,U_3704] :
      ( ? [U_3703,U_3702] :
          ( hBOOL(hAPP_e544220455r_bool(hAPP_l214204733r_bool(U_3705,U_3703),U_3702))
          & U_3704 = hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_3703),U_3702) )
      | ~ hBOOL(hAPP_P2014166431r_bool(hAPP_f1484794973r_bool(produc1732333873r_bool,U_3705),U_3704)) ),
    inference(variable_rename,[status(thm)],[f_663_1]) ).

fof(f_663_3,plain,
    ! [U_3705,U_3704] :
      ( ? [U_3702] :
          ( hBOOL(hAPP_e544220455r_bool(hAPP_l214204733r_bool(U_3705,sK645(U_3705,U_3704)),U_3702))
          & U_3704 = hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,sK645(U_3705,U_3704)),U_3702) )
      | ~ hBOOL(hAPP_P2014166431r_bool(hAPP_f1484794973r_bool(produc1732333873r_bool,U_3705),U_3704)) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK645]),skolemize(U_3703,sK645(U_3705,U_3704))],[f_663_2]) ).

fof(f_663_4,plain,
    ! [U_3705,U_3704] :
      ( ( hBOOL(hAPP_e544220455r_bool(hAPP_l214204733r_bool(U_3705,sK645(U_3705,U_3704)),sK646(U_3705,U_3704)))
        & U_3704 = hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,sK645(U_3705,U_3704)),sK646(U_3705,U_3704)) )
      | ~ hBOOL(hAPP_P2014166431r_bool(hAPP_f1484794973r_bool(produc1732333873r_bool,U_3705),U_3704)) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK646]),skolemize(U_3702,sK646(U_3705,U_3704))],[f_663_3]) ).

cnf(f_663_5,plain,
    ( U_3704 = hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,sK645(U_3705,U_3704)),sK646(U_3705,U_3704))
    | ~ hBOOL(hAPP_P2014166431r_bool(hAPP_f1484794973r_bool(produc1732333873r_bool,U_3705),U_3704)) ),
    inference(clausify,[status(thm)],[f_663_4]) ).

cnf(f_663_6,plain,
    ( hBOOL(hAPP_e544220455r_bool(hAPP_l214204733r_bool(U_3705,sK645(U_3705,U_3704)),sK646(U_3705,U_3704)))
    | ~ hBOOL(hAPP_P2014166431r_bool(hAPP_f1484794973r_bool(produc1732333873r_bool,U_3705),U_3704)) ),
    inference(clausify,[status(thm)],[f_663_4]) ).

fof(f_664_1,plain,
    ! [C_2,P_1] :
      ( ? [X_1,Y_1] :
          ( hBOOL(hAPP_l902158906r_bool(hAPP_l24694616r_bool(C_2,X_1),Y_1))
          & P_1 = hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,X_1),Y_1) )
      | ~ hBOOL(hAPP_P828904212r_bool(hAPP_f895126887r_bool(produc1596557472r_bool,C_2),P_1)) ),
    inference(fof_nnf,[status(thm)],[fact_522_splitE]) ).

fof(f_664_2,plain,
    ! [U_3709,U_3708] :
      ( ? [U_3707,U_3706] :
          ( hBOOL(hAPP_l902158906r_bool(hAPP_l24694616r_bool(U_3709,U_3707),U_3706))
          & U_3708 = hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_3707),U_3706) )
      | ~ hBOOL(hAPP_P828904212r_bool(hAPP_f895126887r_bool(produc1596557472r_bool,U_3709),U_3708)) ),
    inference(variable_rename,[status(thm)],[f_664_1]) ).

fof(f_664_3,plain,
    ! [U_3709,U_3708] :
      ( ? [U_3706] :
          ( hBOOL(hAPP_l902158906r_bool(hAPP_l24694616r_bool(U_3709,sK647(U_3709,U_3708)),U_3706))
          & U_3708 = hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,sK647(U_3709,U_3708)),U_3706) )
      | ~ hBOOL(hAPP_P828904212r_bool(hAPP_f895126887r_bool(produc1596557472r_bool,U_3709),U_3708)) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK647]),skolemize(U_3707,sK647(U_3709,U_3708))],[f_664_2]) ).

fof(f_664_4,plain,
    ! [U_3709,U_3708] :
      ( ( hBOOL(hAPP_l902158906r_bool(hAPP_l24694616r_bool(U_3709,sK647(U_3709,U_3708)),sK648(U_3709,U_3708)))
        & U_3708 = hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,sK647(U_3709,U_3708)),sK648(U_3709,U_3708)) )
      | ~ hBOOL(hAPP_P828904212r_bool(hAPP_f895126887r_bool(produc1596557472r_bool,U_3709),U_3708)) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK648]),skolemize(U_3706,sK648(U_3709,U_3708))],[f_664_3]) ).

cnf(f_664_5,plain,
    ( U_3708 = hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,sK647(U_3709,U_3708)),sK648(U_3709,U_3708))
    | ~ hBOOL(hAPP_P828904212r_bool(hAPP_f895126887r_bool(produc1596557472r_bool,U_3709),U_3708)) ),
    inference(clausify,[status(thm)],[f_664_4]) ).

cnf(f_664_6,plain,
    ( hBOOL(hAPP_l902158906r_bool(hAPP_l24694616r_bool(U_3709,sK647(U_3709,U_3708)),sK648(U_3709,U_3708)))
    | ~ hBOOL(hAPP_P828904212r_bool(hAPP_f895126887r_bool(produc1596557472r_bool,U_3709),U_3708)) ),
    inference(clausify,[status(thm)],[f_664_4]) ).

fof(f_665_1,plain,
    ! [C_2,P_1] :
      ( ? [X_1,Y_1] :
          ( hBOOL(hAPP_P828904212r_bool(hAPP_l1342015621r_bool(C_2,X_1),Y_1))
          & P_1 = hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,X_1),Y_1) )
      | ~ hBOOL(hAPP_P659547099r_bool(hAPP_f252398939r_bool(produc1324280167r_bool,C_2),P_1)) ),
    inference(fof_nnf,[status(thm)],[fact_523_splitE]) ).

fof(f_665_2,plain,
    ! [U_3713,U_3712] :
      ( ? [U_3711,U_3710] :
          ( hBOOL(hAPP_P828904212r_bool(hAPP_l1342015621r_bool(U_3713,U_3711),U_3710))
          & U_3712 = hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_3711),U_3710) )
      | ~ hBOOL(hAPP_P659547099r_bool(hAPP_f252398939r_bool(produc1324280167r_bool,U_3713),U_3712)) ),
    inference(variable_rename,[status(thm)],[f_665_1]) ).

fof(f_665_3,plain,
    ! [U_3713,U_3712] :
      ( ? [U_3710] :
          ( hBOOL(hAPP_P828904212r_bool(hAPP_l1342015621r_bool(U_3713,sK649(U_3713,U_3712)),U_3710))
          & U_3712 = hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,sK649(U_3713,U_3712)),U_3710) )
      | ~ hBOOL(hAPP_P659547099r_bool(hAPP_f252398939r_bool(produc1324280167r_bool,U_3713),U_3712)) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK649]),skolemize(U_3711,sK649(U_3713,U_3712))],[f_665_2]) ).

fof(f_665_4,plain,
    ! [U_3713,U_3712] :
      ( ( hBOOL(hAPP_P828904212r_bool(hAPP_l1342015621r_bool(U_3713,sK649(U_3713,U_3712)),sK650(U_3713,U_3712)))
        & U_3712 = hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,sK649(U_3713,U_3712)),sK650(U_3713,U_3712)) )
      | ~ hBOOL(hAPP_P659547099r_bool(hAPP_f252398939r_bool(produc1324280167r_bool,U_3713),U_3712)) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK650]),skolemize(U_3710,sK650(U_3713,U_3712))],[f_665_3]) ).

cnf(f_665_5,plain,
    ( U_3712 = hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,sK649(U_3713,U_3712)),sK650(U_3713,U_3712))
    | ~ hBOOL(hAPP_P659547099r_bool(hAPP_f252398939r_bool(produc1324280167r_bool,U_3713),U_3712)) ),
    inference(clausify,[status(thm)],[f_665_4]) ).

cnf(f_665_6,plain,
    ( hBOOL(hAPP_P828904212r_bool(hAPP_l1342015621r_bool(U_3713,sK649(U_3713,U_3712)),sK650(U_3713,U_3712)))
    | ~ hBOOL(hAPP_P659547099r_bool(hAPP_f252398939r_bool(produc1324280167r_bool,U_3713),U_3712)) ),
    inference(clausify,[status(thm)],[f_665_4]) ).

fof(f_666_1,plain,
    ! [C_2,P_1] :
      ( ? [X_1,Y_1] :
          ( hBOOL(hAPP_P659547099r_bool(hAPP_l2140727500r_bool(C_2,X_1),Y_1))
          & P_1 = hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,X_1),Y_1) )
      | ~ hBOOL(hAPP_P1680401186r_bool(hAPP_f952817385r_bool(produc723279022r_bool,C_2),P_1)) ),
    inference(fof_nnf,[status(thm)],[fact_524_splitE]) ).

fof(f_666_2,plain,
    ! [U_3717,U_3716] :
      ( ? [U_3715,U_3714] :
          ( hBOOL(hAPP_P659547099r_bool(hAPP_l2140727500r_bool(U_3717,U_3715),U_3714))
          & U_3716 = hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_3715),U_3714) )
      | ~ hBOOL(hAPP_P1680401186r_bool(hAPP_f952817385r_bool(produc723279022r_bool,U_3717),U_3716)) ),
    inference(variable_rename,[status(thm)],[f_666_1]) ).

fof(f_666_3,plain,
    ! [U_3717,U_3716] :
      ( ? [U_3714] :
          ( hBOOL(hAPP_P659547099r_bool(hAPP_l2140727500r_bool(U_3717,sK651(U_3717,U_3716)),U_3714))
          & U_3716 = hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,sK651(U_3717,U_3716)),U_3714) )
      | ~ hBOOL(hAPP_P1680401186r_bool(hAPP_f952817385r_bool(produc723279022r_bool,U_3717),U_3716)) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK651]),skolemize(U_3715,sK651(U_3717,U_3716))],[f_666_2]) ).

fof(f_666_4,plain,
    ! [U_3717,U_3716] :
      ( ( hBOOL(hAPP_P659547099r_bool(hAPP_l2140727500r_bool(U_3717,sK651(U_3717,U_3716)),sK652(U_3717,U_3716)))
        & U_3716 = hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,sK651(U_3717,U_3716)),sK652(U_3717,U_3716)) )
      | ~ hBOOL(hAPP_P1680401186r_bool(hAPP_f952817385r_bool(produc723279022r_bool,U_3717),U_3716)) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK652]),skolemize(U_3714,sK652(U_3717,U_3716))],[f_666_3]) ).

cnf(f_666_5,plain,
    ( U_3716 = hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,sK651(U_3717,U_3716)),sK652(U_3717,U_3716))
    | ~ hBOOL(hAPP_P1680401186r_bool(hAPP_f952817385r_bool(produc723279022r_bool,U_3717),U_3716)) ),
    inference(clausify,[status(thm)],[f_666_4]) ).

cnf(f_666_6,plain,
    ( hBOOL(hAPP_P659547099r_bool(hAPP_l2140727500r_bool(U_3717,sK651(U_3717,U_3716)),sK652(U_3717,U_3716)))
    | ~ hBOOL(hAPP_P1680401186r_bool(hAPP_f952817385r_bool(produc723279022r_bool,U_3717),U_3716)) ),
    inference(clausify,[status(thm)],[f_666_4]) ).

fof(f_667_1,plain,
    ! [C_2,P_1] :
      ( ? [X_1,Y_1] :
          ( hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(C_2,X_1),Y_1))
          & P_1 = hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,X_1),Y_1) )
      | ~ hBOOL(hAPP_P2118621157r_bool(hAPP_f1697332217r_bool(produc21910851r_bool,C_2),P_1)) ),
    inference(fof_nnf,[status(thm)],[fact_525_splitE]) ).

fof(f_667_2,plain,
    ! [U_3721,U_3720] :
      ( ? [U_3719,U_3718] :
          ( hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(U_3721,U_3719),U_3718))
          & U_3720 = hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_3719),U_3718) )
      | ~ hBOOL(hAPP_P2118621157r_bool(hAPP_f1697332217r_bool(produc21910851r_bool,U_3721),U_3720)) ),
    inference(variable_rename,[status(thm)],[f_667_1]) ).

fof(f_667_3,plain,
    ! [U_3721,U_3720] :
      ( ? [U_3718] :
          ( hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(U_3721,sK653(U_3721,U_3720)),U_3718))
          & U_3720 = hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,sK653(U_3721,U_3720)),U_3718) )
      | ~ hBOOL(hAPP_P2118621157r_bool(hAPP_f1697332217r_bool(produc21910851r_bool,U_3721),U_3720)) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK653]),skolemize(U_3719,sK653(U_3721,U_3720))],[f_667_2]) ).

fof(f_667_4,plain,
    ! [U_3721,U_3720] :
      ( ( hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(U_3721,sK653(U_3721,U_3720)),sK654(U_3721,U_3720)))
        & U_3720 = hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,sK653(U_3721,U_3720)),sK654(U_3721,U_3720)) )
      | ~ hBOOL(hAPP_P2118621157r_bool(hAPP_f1697332217r_bool(produc21910851r_bool,U_3721),U_3720)) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK654]),skolemize(U_3718,sK654(U_3721,U_3720))],[f_667_3]) ).

cnf(f_667_5,plain,
    ( U_3720 = hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,sK653(U_3721,U_3720)),sK654(U_3721,U_3720))
    | ~ hBOOL(hAPP_P2118621157r_bool(hAPP_f1697332217r_bool(produc21910851r_bool,U_3721),U_3720)) ),
    inference(clausify,[status(thm)],[f_667_4]) ).

cnf(f_667_6,plain,
    ( hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(U_3721,sK653(U_3721,U_3720)),sK654(U_3721,U_3720)))
    | ~ hBOOL(hAPP_P2118621157r_bool(hAPP_f1697332217r_bool(produc21910851r_bool,U_3721),U_3720)) ),
    inference(clausify,[status(thm)],[f_667_4]) ).

fof(f_668_1,plain,
    ! [C_2,P_1] :
      ( ? [X_1,Y_1] :
          ( hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(C_2,X_1),Y_1))
          & P_1 = hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,X_1),Y_1) )
      | ~ hBOOL(hAPP_P1907982426r_bool(hAPP_f102021095r_bool(produc154616760r_bool,C_2),P_1)) ),
    inference(fof_nnf,[status(thm)],[fact_526_splitE]) ).

fof(f_668_2,plain,
    ! [U_3725,U_3724] :
      ( ? [U_3723,U_3722] :
          ( hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(U_3725,U_3723),U_3722))
          & U_3724 = hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_3723),U_3722) )
      | ~ hBOOL(hAPP_P1907982426r_bool(hAPP_f102021095r_bool(produc154616760r_bool,U_3725),U_3724)) ),
    inference(variable_rename,[status(thm)],[f_668_1]) ).

fof(f_668_3,plain,
    ! [U_3725,U_3724] :
      ( ? [U_3722] :
          ( hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(U_3725,sK655(U_3725,U_3724)),U_3722))
          & U_3724 = hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,sK655(U_3725,U_3724)),U_3722) )
      | ~ hBOOL(hAPP_P1907982426r_bool(hAPP_f102021095r_bool(produc154616760r_bool,U_3725),U_3724)) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK655]),skolemize(U_3723,sK655(U_3725,U_3724))],[f_668_2]) ).

fof(f_668_4,plain,
    ! [U_3725,U_3724] :
      ( ( hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(U_3725,sK655(U_3725,U_3724)),sK656(U_3725,U_3724)))
        & U_3724 = hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,sK655(U_3725,U_3724)),sK656(U_3725,U_3724)) )
      | ~ hBOOL(hAPP_P1907982426r_bool(hAPP_f102021095r_bool(produc154616760r_bool,U_3725),U_3724)) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK656]),skolemize(U_3722,sK656(U_3725,U_3724))],[f_668_3]) ).

cnf(f_668_5,plain,
    ( U_3724 = hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,sK655(U_3725,U_3724)),sK656(U_3725,U_3724))
    | ~ hBOOL(hAPP_P1907982426r_bool(hAPP_f102021095r_bool(produc154616760r_bool,U_3725),U_3724)) ),
    inference(clausify,[status(thm)],[f_668_4]) ).

cnf(f_668_6,plain,
    ( hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(U_3725,sK655(U_3725,U_3724)),sK656(U_3725,U_3724)))
    | ~ hBOOL(hAPP_P1907982426r_bool(hAPP_f102021095r_bool(produc154616760r_bool,U_3725),U_3724)) ),
    inference(clausify,[status(thm)],[f_668_4]) ).

fof(f_669_1,plain,
    ! [C_2,P_1] :
      ( ? [X_1,Y_1] :
          ( hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(C_2,X_1),Y_1))
          & P_1 = hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,X_1),Y_1) )
      | ~ hBOOL(hAPP_P92196306r_bool(hAPP_f1613448899r_bool(produc2027921764r_bool,C_2),P_1)) ),
    inference(fof_nnf,[status(thm)],[fact_527_splitE]) ).

fof(f_669_2,plain,
    ! [U_3729,U_3728] :
      ( ? [U_3727,U_3726] :
          ( hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(U_3729,U_3727),U_3726))
          & U_3728 = hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_3727),U_3726) )
      | ~ hBOOL(hAPP_P92196306r_bool(hAPP_f1613448899r_bool(produc2027921764r_bool,U_3729),U_3728)) ),
    inference(variable_rename,[status(thm)],[f_669_1]) ).

fof(f_669_3,plain,
    ! [U_3729,U_3728] :
      ( ? [U_3726] :
          ( hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(U_3729,sK657(U_3729,U_3728)),U_3726))
          & U_3728 = hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,sK657(U_3729,U_3728)),U_3726) )
      | ~ hBOOL(hAPP_P92196306r_bool(hAPP_f1613448899r_bool(produc2027921764r_bool,U_3729),U_3728)) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK657]),skolemize(U_3727,sK657(U_3729,U_3728))],[f_669_2]) ).

fof(f_669_4,plain,
    ! [U_3729,U_3728] :
      ( ( hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(U_3729,sK657(U_3729,U_3728)),sK658(U_3729,U_3728)))
        & U_3728 = hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,sK657(U_3729,U_3728)),sK658(U_3729,U_3728)) )
      | ~ hBOOL(hAPP_P92196306r_bool(hAPP_f1613448899r_bool(produc2027921764r_bool,U_3729),U_3728)) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK658]),skolemize(U_3726,sK658(U_3729,U_3728))],[f_669_3]) ).

cnf(f_669_5,plain,
    ( U_3728 = hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,sK657(U_3729,U_3728)),sK658(U_3729,U_3728))
    | ~ hBOOL(hAPP_P92196306r_bool(hAPP_f1613448899r_bool(produc2027921764r_bool,U_3729),U_3728)) ),
    inference(clausify,[status(thm)],[f_669_4]) ).

cnf(f_669_6,plain,
    ( hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(U_3729,sK657(U_3729,U_3728)),sK658(U_3729,U_3728)))
    | ~ hBOOL(hAPP_P92196306r_bool(hAPP_f1613448899r_bool(produc2027921764r_bool,U_3729),U_3728)) ),
    inference(clausify,[status(thm)],[f_669_4]) ).

fof(f_670_1,plain,
    ! [C_2,P_1] :
      ( ? [X_1,Y_1] :
          ( hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(C_2,X_1),Y_1))
          & P_1 = hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,X_1),Y_1) )
      | ~ hBOOL(hAPP_P71593144l_bool(hAPP_f1634841927l_bool(produc1491230096l_bool,C_2),P_1)) ),
    inference(fof_nnf,[status(thm)],[fact_528_splitE]) ).

fof(f_670_2,plain,
    ! [U_3733,U_3732] :
      ( ? [U_3731,U_3730] :
          ( hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(U_3733,U_3731),U_3730))
          & U_3732 = hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_3731),U_3730) )
      | ~ hBOOL(hAPP_P71593144l_bool(hAPP_f1634841927l_bool(produc1491230096l_bool,U_3733),U_3732)) ),
    inference(variable_rename,[status(thm)],[f_670_1]) ).

fof(f_670_3,plain,
    ! [U_3733,U_3732] :
      ( ? [U_3730] :
          ( hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(U_3733,sK659(U_3733,U_3732)),U_3730))
          & U_3732 = hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,sK659(U_3733,U_3732)),U_3730) )
      | ~ hBOOL(hAPP_P71593144l_bool(hAPP_f1634841927l_bool(produc1491230096l_bool,U_3733),U_3732)) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK659]),skolemize(U_3731,sK659(U_3733,U_3732))],[f_670_2]) ).

fof(f_670_4,plain,
    ! [U_3733,U_3732] :
      ( ( hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(U_3733,sK659(U_3733,U_3732)),sK660(U_3733,U_3732)))
        & U_3732 = hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,sK659(U_3733,U_3732)),sK660(U_3733,U_3732)) )
      | ~ hBOOL(hAPP_P71593144l_bool(hAPP_f1634841927l_bool(produc1491230096l_bool,U_3733),U_3732)) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK660]),skolemize(U_3730,sK660(U_3733,U_3732))],[f_670_3]) ).

cnf(f_670_5,plain,
    ( U_3732 = hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,sK659(U_3733,U_3732)),sK660(U_3733,U_3732))
    | ~ hBOOL(hAPP_P71593144l_bool(hAPP_f1634841927l_bool(produc1491230096l_bool,U_3733),U_3732)) ),
    inference(clausify,[status(thm)],[f_670_4]) ).

cnf(f_670_6,plain,
    ( hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(U_3733,sK659(U_3733,U_3732)),sK660(U_3733,U_3732)))
    | ~ hBOOL(hAPP_P71593144l_bool(hAPP_f1634841927l_bool(produc1491230096l_bool,U_3733),U_3732)) ),
    inference(clausify,[status(thm)],[f_670_4]) ).

fof(f_671_1,plain,
    ! [C_2,P_1] :
      ( ? [X_1,Y_1] :
          ( hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(C_2,X_1),Y_1))
          & P_1 = hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,X_1),Y_1) )
      | ~ hBOOL(hAPP_P1333315679l_bool(hAPP_f1525114763l_bool(produc70644925l_bool,C_2),P_1)) ),
    inference(fof_nnf,[status(thm)],[fact_529_splitE]) ).

fof(f_671_2,plain,
    ! [U_3737,U_3736] :
      ( ? [U_3735,U_3734] :
          ( hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(U_3737,U_3735),U_3734))
          & U_3736 = hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_3735),U_3734) )
      | ~ hBOOL(hAPP_P1333315679l_bool(hAPP_f1525114763l_bool(produc70644925l_bool,U_3737),U_3736)) ),
    inference(variable_rename,[status(thm)],[f_671_1]) ).

fof(f_671_3,plain,
    ! [U_3737,U_3736] :
      ( ? [U_3734] :
          ( hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(U_3737,sK661(U_3737,U_3736)),U_3734))
          & U_3736 = hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,sK661(U_3737,U_3736)),U_3734) )
      | ~ hBOOL(hAPP_P1333315679l_bool(hAPP_f1525114763l_bool(produc70644925l_bool,U_3737),U_3736)) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK661]),skolemize(U_3735,sK661(U_3737,U_3736))],[f_671_2]) ).

fof(f_671_4,plain,
    ! [U_3737,U_3736] :
      ( ( hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(U_3737,sK661(U_3737,U_3736)),sK662(U_3737,U_3736)))
        & U_3736 = hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,sK661(U_3737,U_3736)),sK662(U_3737,U_3736)) )
      | ~ hBOOL(hAPP_P1333315679l_bool(hAPP_f1525114763l_bool(produc70644925l_bool,U_3737),U_3736)) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK662]),skolemize(U_3734,sK662(U_3737,U_3736))],[f_671_3]) ).

cnf(f_671_5,plain,
    ( U_3736 = hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,sK661(U_3737,U_3736)),sK662(U_3737,U_3736))
    | ~ hBOOL(hAPP_P1333315679l_bool(hAPP_f1525114763l_bool(produc70644925l_bool,U_3737),U_3736)) ),
    inference(clausify,[status(thm)],[f_671_4]) ).

cnf(f_671_6,plain,
    ( hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(U_3737,sK661(U_3737,U_3736)),sK662(U_3737,U_3736)))
    | ~ hBOOL(hAPP_P1333315679l_bool(hAPP_f1525114763l_bool(produc70644925l_bool,U_3737),U_3736)) ),
    inference(clausify,[status(thm)],[f_671_4]) ).

fof(f_672_1,plain,
    ! [C_2,P_1] :
      ( ? [X_1,Y_1] :
          ( hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(C_2,X_1),Y_1))
          & P_1 = hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,X_1),Y_1) )
      | ~ hBOOL(hAPP_P929938951l_bool(hAPP_f1534412387l_bool(produc769963999l_bool,C_2),P_1)) ),
    inference(fof_nnf,[status(thm)],[fact_530_splitE]) ).

fof(f_672_2,plain,
    ! [U_3741,U_3740] :
      ( ? [U_3739,U_3738] :
          ( hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(U_3741,U_3739),U_3738))
          & U_3740 = hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_3739),U_3738) )
      | ~ hBOOL(hAPP_P929938951l_bool(hAPP_f1534412387l_bool(produc769963999l_bool,U_3741),U_3740)) ),
    inference(variable_rename,[status(thm)],[f_672_1]) ).

fof(f_672_3,plain,
    ! [U_3741,U_3740] :
      ( ? [U_3738] :
          ( hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(U_3741,sK663(U_3741,U_3740)),U_3738))
          & U_3740 = hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,sK663(U_3741,U_3740)),U_3738) )
      | ~ hBOOL(hAPP_P929938951l_bool(hAPP_f1534412387l_bool(produc769963999l_bool,U_3741),U_3740)) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK663]),skolemize(U_3739,sK663(U_3741,U_3740))],[f_672_2]) ).

fof(f_672_4,plain,
    ! [U_3741,U_3740] :
      ( ( hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(U_3741,sK663(U_3741,U_3740)),sK664(U_3741,U_3740)))
        & U_3740 = hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,sK663(U_3741,U_3740)),sK664(U_3741,U_3740)) )
      | ~ hBOOL(hAPP_P929938951l_bool(hAPP_f1534412387l_bool(produc769963999l_bool,U_3741),U_3740)) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK664]),skolemize(U_3738,sK664(U_3741,U_3740))],[f_672_3]) ).

cnf(f_672_5,plain,
    ( U_3740 = hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,sK663(U_3741,U_3740)),sK664(U_3741,U_3740))
    | ~ hBOOL(hAPP_P929938951l_bool(hAPP_f1534412387l_bool(produc769963999l_bool,U_3741),U_3740)) ),
    inference(clausify,[status(thm)],[f_672_4]) ).

cnf(f_672_6,plain,
    ( hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(U_3741,sK663(U_3741,U_3740)),sK664(U_3741,U_3740)))
    | ~ hBOOL(hAPP_P929938951l_bool(hAPP_f1534412387l_bool(produc769963999l_bool,U_3741),U_3740)) ),
    inference(clausify,[status(thm)],[f_672_4]) ).

fof(f_673_1,plain,
    ! [C_2,P_1] :
      ( ? [X_1,Y_1] :
          ( hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(C_2,X_1),Y_1))
          & P_1 = hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,X_1),Y_1)
          & is_bop(X_1) )
      | ~ hBOOL(hAPP_P943837928l_bool(hAPP_f340876351l_bool(produc1326056646l_bool,C_2),P_1)) ),
    inference(fof_nnf,[status(thm)],[fact_531_splitE]) ).

fof(f_673_2,plain,
    ! [U_3745,U_3744] :
      ( ? [U_3743,U_3742] :
          ( hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(U_3745,U_3743),U_3742))
          & U_3744 = hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_3743),U_3742)
          & is_bop(U_3743) )
      | ~ hBOOL(hAPP_P943837928l_bool(hAPP_f340876351l_bool(produc1326056646l_bool,U_3745),U_3744)) ),
    inference(variable_rename,[status(thm)],[f_673_1]) ).

fof(f_673_3,plain,
    ! [U_3745,U_3744] :
      ( ? [U_3743] :
          ( ? [U_3742] :
              ( hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(U_3745,U_3743),U_3742))
              & U_3744 = hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_3743),U_3742) )
          & is_bop(U_3743) )
      | ~ hBOOL(hAPP_P943837928l_bool(hAPP_f340876351l_bool(produc1326056646l_bool,U_3745),U_3744)) ),
    inference(miniscope,[status(thm)],[f_673_2]) ).

fof(f_673_4,plain,
    ! [U_3745,U_3744] :
      ( ( ? [U_3742] :
            ( hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(U_3745,sK665(U_3745,U_3744)),U_3742))
            & U_3744 = hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,sK665(U_3745,U_3744)),U_3742) )
        & is_bop(sK665(U_3745,U_3744)) )
      | ~ hBOOL(hAPP_P943837928l_bool(hAPP_f340876351l_bool(produc1326056646l_bool,U_3745),U_3744)) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK665]),skolemize(U_3743,sK665(U_3745,U_3744))],[f_673_3]) ).

fof(f_673_5,plain,
    ! [U_3745,U_3744] :
      ( ( hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(U_3745,sK665(U_3745,U_3744)),sK666(U_3745,U_3744)))
        & U_3744 = hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,sK665(U_3745,U_3744)),sK666(U_3745,U_3744))
        & is_bop(sK665(U_3745,U_3744)) )
      | ~ hBOOL(hAPP_P943837928l_bool(hAPP_f340876351l_bool(produc1326056646l_bool,U_3745),U_3744)) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK666]),skolemize(U_3742,sK666(U_3745,U_3744))],[f_673_4]) ).

cnf(f_673_6,plain,
    ( is_bop(sK665(U_3745,U_3744))
    | ~ hBOOL(hAPP_P943837928l_bool(hAPP_f340876351l_bool(produc1326056646l_bool,U_3745),U_3744)) ),
    inference(clausify,[status(thm)],[f_673_5]) ).

cnf(f_673_7,plain,
    ( U_3744 = hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,sK665(U_3745,U_3744)),sK666(U_3745,U_3744))
    | ~ hBOOL(hAPP_P943837928l_bool(hAPP_f340876351l_bool(produc1326056646l_bool,U_3745),U_3744)) ),
    inference(clausify,[status(thm)],[f_673_5]) ).

cnf(f_673_8,plain,
    ( hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(U_3745,sK665(U_3745,U_3744)),sK666(U_3745,U_3744)))
    | ~ hBOOL(hAPP_P943837928l_bool(hAPP_f340876351l_bool(produc1326056646l_bool,U_3745),U_3744)) ),
    inference(clausify,[status(thm)],[f_673_5]) ).

fof(f_674_1,plain,
    ! [C_2,P_1] :
      ( ? [X_1,Y_1] :
          ( hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(C_2,X_1),Y_1))
          & P_1 = hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,X_1),Y_1) )
      | ~ hBOOL(hAPP_P449474095r_bool(hAPP_f2132060507r_bool(produc1704639885r_bool,C_2),P_1)) ),
    inference(fof_nnf,[status(thm)],[fact_532_splitE]) ).

fof(f_674_2,plain,
    ! [U_3749,U_3748] :
      ( ? [U_3747,U_3746] :
          ( hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(U_3749,U_3747),U_3746))
          & U_3748 = hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_3747),U_3746) )
      | ~ hBOOL(hAPP_P449474095r_bool(hAPP_f2132060507r_bool(produc1704639885r_bool,U_3749),U_3748)) ),
    inference(variable_rename,[status(thm)],[f_674_1]) ).

fof(f_674_3,plain,
    ! [U_3749,U_3748] :
      ( ? [U_3746] :
          ( hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(U_3749,sK667(U_3749,U_3748)),U_3746))
          & U_3748 = hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,sK667(U_3749,U_3748)),U_3746) )
      | ~ hBOOL(hAPP_P449474095r_bool(hAPP_f2132060507r_bool(produc1704639885r_bool,U_3749),U_3748)) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK667]),skolemize(U_3747,sK667(U_3749,U_3748))],[f_674_2]) ).

fof(f_674_4,plain,
    ! [U_3749,U_3748] :
      ( ( hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(U_3749,sK667(U_3749,U_3748)),sK668(U_3749,U_3748)))
        & U_3748 = hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,sK667(U_3749,U_3748)),sK668(U_3749,U_3748)) )
      | ~ hBOOL(hAPP_P449474095r_bool(hAPP_f2132060507r_bool(produc1704639885r_bool,U_3749),U_3748)) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK668]),skolemize(U_3746,sK668(U_3749,U_3748))],[f_674_3]) ).

cnf(f_674_5,plain,
    ( U_3748 = hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,sK667(U_3749,U_3748)),sK668(U_3749,U_3748))
    | ~ hBOOL(hAPP_P449474095r_bool(hAPP_f2132060507r_bool(produc1704639885r_bool,U_3749),U_3748)) ),
    inference(clausify,[status(thm)],[f_674_4]) ).

cnf(f_674_6,plain,
    ( hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(U_3749,sK667(U_3749,U_3748)),sK668(U_3749,U_3748)))
    | ~ hBOOL(hAPP_P449474095r_bool(hAPP_f2132060507r_bool(produc1704639885r_bool,U_3749),U_3748)) ),
    inference(clausify,[status(thm)],[f_674_4]) ).

fof(f_675_1,plain,
    ! [C_2,P_1] :
      ( ? [X_1,Y_1] :
          ( hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(C_2,X_1),Y_1))
          & P_1 = hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,X_1),Y_1) )
      | ~ hBOOL(hAPP_P1235399154l_bool(hAPP_f1443410953l_bool(produc392960766l_bool,C_2),P_1)) ),
    inference(fof_nnf,[status(thm)],[fact_533_splitE]) ).

fof(f_675_2,plain,
    ! [U_3753,U_3752] :
      ( ? [U_3751,U_3750] :
          ( hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(U_3753,U_3751),U_3750))
          & U_3752 = hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_3751),U_3750) )
      | ~ hBOOL(hAPP_P1235399154l_bool(hAPP_f1443410953l_bool(produc392960766l_bool,U_3753),U_3752)) ),
    inference(variable_rename,[status(thm)],[f_675_1]) ).

fof(f_675_3,plain,
    ! [U_3753,U_3752] :
      ( ? [U_3750] :
          ( hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(U_3753,sK669(U_3753,U_3752)),U_3750))
          & U_3752 = hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,sK669(U_3753,U_3752)),U_3750) )
      | ~ hBOOL(hAPP_P1235399154l_bool(hAPP_f1443410953l_bool(produc392960766l_bool,U_3753),U_3752)) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK669]),skolemize(U_3751,sK669(U_3753,U_3752))],[f_675_2]) ).

fof(f_675_4,plain,
    ! [U_3753,U_3752] :
      ( ( hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(U_3753,sK669(U_3753,U_3752)),sK670(U_3753,U_3752)))
        & U_3752 = hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,sK669(U_3753,U_3752)),sK670(U_3753,U_3752)) )
      | ~ hBOOL(hAPP_P1235399154l_bool(hAPP_f1443410953l_bool(produc392960766l_bool,U_3753),U_3752)) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK670]),skolemize(U_3750,sK670(U_3753,U_3752))],[f_675_3]) ).

cnf(f_675_5,plain,
    ( U_3752 = hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,sK669(U_3753,U_3752)),sK670(U_3753,U_3752))
    | ~ hBOOL(hAPP_P1235399154l_bool(hAPP_f1443410953l_bool(produc392960766l_bool,U_3753),U_3752)) ),
    inference(clausify,[status(thm)],[f_675_4]) ).

cnf(f_675_6,plain,
    ( hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(U_3753,sK669(U_3753,U_3752)),sK670(U_3753,U_3752)))
    | ~ hBOOL(hAPP_P1235399154l_bool(hAPP_f1443410953l_bool(produc392960766l_bool,U_3753),U_3752)) ),
    inference(clausify,[status(thm)],[f_675_4]) ).

fof(f_676_1,plain,
    ! [C_2,P_1] :
      ( ? [X_1,Y_1] :
          ( hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(C_2,X_1),Y_1))
          & P_1 = hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,X_1),Y_1) )
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,C_2),P_1)) ),
    inference(fof_nnf,[status(thm)],[fact_534_splitE]) ).

fof(f_676_2,plain,
    ! [U_3757,U_3756] :
      ( ? [U_3755,U_3754] :
          ( hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(U_3757,U_3755),U_3754))
          & U_3756 = hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_3755),U_3754) )
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,U_3757),U_3756)) ),
    inference(variable_rename,[status(thm)],[f_676_1]) ).

fof(f_676_3,plain,
    ! [U_3757,U_3756] :
      ( ? [U_3754] :
          ( hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(U_3757,sK671(U_3757,U_3756)),U_3754))
          & U_3756 = hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK671(U_3757,U_3756)),U_3754) )
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,U_3757),U_3756)) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK671]),skolemize(U_3755,sK671(U_3757,U_3756))],[f_676_2]) ).

fof(f_676_4,plain,
    ! [U_3757,U_3756] :
      ( ( hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(U_3757,sK671(U_3757,U_3756)),sK672(U_3757,U_3756)))
        & U_3756 = hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK671(U_3757,U_3756)),sK672(U_3757,U_3756)) )
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,U_3757),U_3756)) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK672]),skolemize(U_3754,sK672(U_3757,U_3756))],[f_676_3]) ).

cnf(f_676_5,plain,
    ( U_3756 = hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK671(U_3757,U_3756)),sK672(U_3757,U_3756))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,U_3757),U_3756)) ),
    inference(clausify,[status(thm)],[f_676_4]) ).

cnf(f_676_6,plain,
    ( hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(U_3757,sK671(U_3757,U_3756)),sK672(U_3757,U_3756)))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,U_3757),U_3756)) ),
    inference(clausify,[status(thm)],[f_676_4]) ).

fof(f_677_1,plain,
    ! [C_2,P_1] :
      ( ? [X_1,Y_1] :
          ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(C_2,X_1),Y_1))
          & P_1 = hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,X_1),Y_1) )
      | ~ hBOOL(hAPP_P1708370145l_bool(hAPP_f1930574389l_bool(produc1815960045l_bool,C_2),P_1)) ),
    inference(fof_nnf,[status(thm)],[fact_535_splitE]) ).

fof(f_677_2,plain,
    ! [U_3761,U_3760] :
      ( ? [U_3759,U_3758] :
          ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(U_3761,U_3759),U_3758))
          & U_3760 = hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_3759),U_3758) )
      | ~ hBOOL(hAPP_P1708370145l_bool(hAPP_f1930574389l_bool(produc1815960045l_bool,U_3761),U_3760)) ),
    inference(variable_rename,[status(thm)],[f_677_1]) ).

fof(f_677_3,plain,
    ! [U_3761,U_3760] :
      ( ? [U_3758] :
          ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(U_3761,sK673(U_3761,U_3760)),U_3758))
          & U_3760 = hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK673(U_3761,U_3760)),U_3758) )
      | ~ hBOOL(hAPP_P1708370145l_bool(hAPP_f1930574389l_bool(produc1815960045l_bool,U_3761),U_3760)) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK673]),skolemize(U_3759,sK673(U_3761,U_3760))],[f_677_2]) ).

fof(f_677_4,plain,
    ! [U_3761,U_3760] :
      ( ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(U_3761,sK673(U_3761,U_3760)),sK674(U_3761,U_3760)))
        & U_3760 = hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK673(U_3761,U_3760)),sK674(U_3761,U_3760)) )
      | ~ hBOOL(hAPP_P1708370145l_bool(hAPP_f1930574389l_bool(produc1815960045l_bool,U_3761),U_3760)) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK674]),skolemize(U_3758,sK674(U_3761,U_3760))],[f_677_3]) ).

cnf(f_677_5,plain,
    ( U_3760 = hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK673(U_3761,U_3760)),sK674(U_3761,U_3760))
    | ~ hBOOL(hAPP_P1708370145l_bool(hAPP_f1930574389l_bool(produc1815960045l_bool,U_3761),U_3760)) ),
    inference(clausify,[status(thm)],[f_677_4]) ).

cnf(f_677_6,plain,
    ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(U_3761,sK673(U_3761,U_3760)),sK674(U_3761,U_3760)))
    | ~ hBOOL(hAPP_P1708370145l_bool(hAPP_f1930574389l_bool(produc1815960045l_bool,U_3761),U_3760)) ),
    inference(clausify,[status(thm)],[f_677_4]) ).

fof(f_678_1,plain,
    ! [C_2,P_1] :
      ( ? [X_1,Y_1] :
          ( hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(C_2,X_1),Y_1))
          & P_1 = hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,X_1),Y_1) )
      | ~ hBOOL(hAPP_P282169671l_bool(hAPP_f635218277l_bool(produc1911463199l_bool,C_2),P_1)) ),
    inference(fof_nnf,[status(thm)],[fact_536_splitE]) ).

fof(f_678_2,plain,
    ! [U_3765,U_3764] :
      ( ? [U_3763,U_3762] :
          ( hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(U_3765,U_3763),U_3762))
          & U_3764 = hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_3763),U_3762) )
      | ~ hBOOL(hAPP_P282169671l_bool(hAPP_f635218277l_bool(produc1911463199l_bool,U_3765),U_3764)) ),
    inference(variable_rename,[status(thm)],[f_678_1]) ).

fof(f_678_3,plain,
    ! [U_3765,U_3764] :
      ( ? [U_3762] :
          ( hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(U_3765,sK675(U_3765,U_3764)),U_3762))
          & U_3764 = hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK675(U_3765,U_3764)),U_3762) )
      | ~ hBOOL(hAPP_P282169671l_bool(hAPP_f635218277l_bool(produc1911463199l_bool,U_3765),U_3764)) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK675]),skolemize(U_3763,sK675(U_3765,U_3764))],[f_678_2]) ).

fof(f_678_4,plain,
    ! [U_3765,U_3764] :
      ( ( hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(U_3765,sK675(U_3765,U_3764)),sK676(U_3765,U_3764)))
        & U_3764 = hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK675(U_3765,U_3764)),sK676(U_3765,U_3764)) )
      | ~ hBOOL(hAPP_P282169671l_bool(hAPP_f635218277l_bool(produc1911463199l_bool,U_3765),U_3764)) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK676]),skolemize(U_3762,sK676(U_3765,U_3764))],[f_678_3]) ).

cnf(f_678_5,plain,
    ( U_3764 = hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK675(U_3765,U_3764)),sK676(U_3765,U_3764))
    | ~ hBOOL(hAPP_P282169671l_bool(hAPP_f635218277l_bool(produc1911463199l_bool,U_3765),U_3764)) ),
    inference(clausify,[status(thm)],[f_678_4]) ).

cnf(f_678_6,plain,
    ( hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(U_3765,sK675(U_3765,U_3764)),sK676(U_3765,U_3764)))
    | ~ hBOOL(hAPP_P282169671l_bool(hAPP_f635218277l_bool(produc1911463199l_bool,U_3765),U_3764)) ),
    inference(clausify,[status(thm)],[f_678_4]) ).

fof(f_679_1,plain,
    ! [C_2,P_1] :
      ( hBOOL(hAPP_P2014166431r_bool(hAPP_f1484794973r_bool(produc1732333873r_bool,C_2),P_1))
      | ? [A_1,B_2] :
          ( ~ hBOOL(hAPP_e544220455r_bool(hAPP_l214204733r_bool(C_2,A_1),B_2))
          & P_1 = hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,A_1),B_2) ) ),
    inference(fof_nnf,[status(thm)],[fact_537_splitI2]) ).

fof(f_679_2,plain,
    ! [U_3769,U_3768] :
      ( hBOOL(hAPP_P2014166431r_bool(hAPP_f1484794973r_bool(produc1732333873r_bool,U_3769),U_3768))
      | ? [U_3767,U_3766] :
          ( ~ hBOOL(hAPP_e544220455r_bool(hAPP_l214204733r_bool(U_3769,U_3767),U_3766))
          & U_3768 = hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_3767),U_3766) ) ),
    inference(variable_rename,[status(thm)],[f_679_1]) ).

fof(f_679_3,plain,
    ! [U_3769,U_3768] :
      ( hBOOL(hAPP_P2014166431r_bool(hAPP_f1484794973r_bool(produc1732333873r_bool,U_3769),U_3768))
      | ? [U_3766] :
          ( ~ hBOOL(hAPP_e544220455r_bool(hAPP_l214204733r_bool(U_3769,sK677(U_3769,U_3768)),U_3766))
          & U_3768 = hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,sK677(U_3769,U_3768)),U_3766) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK677]),skolemize(U_3767,sK677(U_3769,U_3768))],[f_679_2]) ).

fof(f_679_4,plain,
    ! [U_3769,U_3768] :
      ( hBOOL(hAPP_P2014166431r_bool(hAPP_f1484794973r_bool(produc1732333873r_bool,U_3769),U_3768))
      | ( ~ hBOOL(hAPP_e544220455r_bool(hAPP_l214204733r_bool(U_3769,sK677(U_3769,U_3768)),sK678(U_3769,U_3768)))
        & U_3768 = hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,sK677(U_3769,U_3768)),sK678(U_3769,U_3768)) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK678]),skolemize(U_3766,sK678(U_3769,U_3768))],[f_679_3]) ).

cnf(f_679_5,plain,
    ( U_3768 = hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,sK677(U_3769,U_3768)),sK678(U_3769,U_3768))
    | hBOOL(hAPP_P2014166431r_bool(hAPP_f1484794973r_bool(produc1732333873r_bool,U_3769),U_3768)) ),
    inference(clausify,[status(thm)],[f_679_4]) ).

cnf(f_679_6,plain,
    ( ~ hBOOL(hAPP_e544220455r_bool(hAPP_l214204733r_bool(U_3769,sK677(U_3769,U_3768)),sK678(U_3769,U_3768)))
    | hBOOL(hAPP_P2014166431r_bool(hAPP_f1484794973r_bool(produc1732333873r_bool,U_3769),U_3768)) ),
    inference(clausify,[status(thm)],[f_679_4]) ).

fof(f_680_1,plain,
    ! [C_2,P_1] :
      ( hBOOL(hAPP_P828904212r_bool(hAPP_f895126887r_bool(produc1596557472r_bool,C_2),P_1))
      | ? [A_1,B_2] :
          ( ~ hBOOL(hAPP_l902158906r_bool(hAPP_l24694616r_bool(C_2,A_1),B_2))
          & P_1 = hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,A_1),B_2) ) ),
    inference(fof_nnf,[status(thm)],[fact_538_splitI2]) ).

fof(f_680_2,plain,
    ! [U_3773,U_3772] :
      ( hBOOL(hAPP_P828904212r_bool(hAPP_f895126887r_bool(produc1596557472r_bool,U_3773),U_3772))
      | ? [U_3771,U_3770] :
          ( ~ hBOOL(hAPP_l902158906r_bool(hAPP_l24694616r_bool(U_3773,U_3771),U_3770))
          & U_3772 = hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_3771),U_3770) ) ),
    inference(variable_rename,[status(thm)],[f_680_1]) ).

fof(f_680_3,plain,
    ! [U_3773,U_3772] :
      ( hBOOL(hAPP_P828904212r_bool(hAPP_f895126887r_bool(produc1596557472r_bool,U_3773),U_3772))
      | ? [U_3770] :
          ( ~ hBOOL(hAPP_l902158906r_bool(hAPP_l24694616r_bool(U_3773,sK679(U_3773,U_3772)),U_3770))
          & U_3772 = hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,sK679(U_3773,U_3772)),U_3770) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK679]),skolemize(U_3771,sK679(U_3773,U_3772))],[f_680_2]) ).

fof(f_680_4,plain,
    ! [U_3773,U_3772] :
      ( hBOOL(hAPP_P828904212r_bool(hAPP_f895126887r_bool(produc1596557472r_bool,U_3773),U_3772))
      | ( ~ hBOOL(hAPP_l902158906r_bool(hAPP_l24694616r_bool(U_3773,sK679(U_3773,U_3772)),sK680(U_3773,U_3772)))
        & U_3772 = hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,sK679(U_3773,U_3772)),sK680(U_3773,U_3772)) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK680]),skolemize(U_3770,sK680(U_3773,U_3772))],[f_680_3]) ).

cnf(f_680_5,plain,
    ( U_3772 = hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,sK679(U_3773,U_3772)),sK680(U_3773,U_3772))
    | hBOOL(hAPP_P828904212r_bool(hAPP_f895126887r_bool(produc1596557472r_bool,U_3773),U_3772)) ),
    inference(clausify,[status(thm)],[f_680_4]) ).

cnf(f_680_6,plain,
    ( ~ hBOOL(hAPP_l902158906r_bool(hAPP_l24694616r_bool(U_3773,sK679(U_3773,U_3772)),sK680(U_3773,U_3772)))
    | hBOOL(hAPP_P828904212r_bool(hAPP_f895126887r_bool(produc1596557472r_bool,U_3773),U_3772)) ),
    inference(clausify,[status(thm)],[f_680_4]) ).

fof(f_681_1,plain,
    ! [C_2,P_1] :
      ( hBOOL(hAPP_P659547099r_bool(hAPP_f252398939r_bool(produc1324280167r_bool,C_2),P_1))
      | ? [A_1,B_2] :
          ( ~ hBOOL(hAPP_P828904212r_bool(hAPP_l1342015621r_bool(C_2,A_1),B_2))
          & P_1 = hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,A_1),B_2) ) ),
    inference(fof_nnf,[status(thm)],[fact_539_splitI2]) ).

fof(f_681_2,plain,
    ! [U_3777,U_3776] :
      ( hBOOL(hAPP_P659547099r_bool(hAPP_f252398939r_bool(produc1324280167r_bool,U_3777),U_3776))
      | ? [U_3775,U_3774] :
          ( ~ hBOOL(hAPP_P828904212r_bool(hAPP_l1342015621r_bool(U_3777,U_3775),U_3774))
          & U_3776 = hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_3775),U_3774) ) ),
    inference(variable_rename,[status(thm)],[f_681_1]) ).

fof(f_681_3,plain,
    ! [U_3777,U_3776] :
      ( hBOOL(hAPP_P659547099r_bool(hAPP_f252398939r_bool(produc1324280167r_bool,U_3777),U_3776))
      | ? [U_3774] :
          ( ~ hBOOL(hAPP_P828904212r_bool(hAPP_l1342015621r_bool(U_3777,sK681(U_3777,U_3776)),U_3774))
          & U_3776 = hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,sK681(U_3777,U_3776)),U_3774) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK681]),skolemize(U_3775,sK681(U_3777,U_3776))],[f_681_2]) ).

fof(f_681_4,plain,
    ! [U_3777,U_3776] :
      ( hBOOL(hAPP_P659547099r_bool(hAPP_f252398939r_bool(produc1324280167r_bool,U_3777),U_3776))
      | ( ~ hBOOL(hAPP_P828904212r_bool(hAPP_l1342015621r_bool(U_3777,sK681(U_3777,U_3776)),sK682(U_3777,U_3776)))
        & U_3776 = hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,sK681(U_3777,U_3776)),sK682(U_3777,U_3776)) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK682]),skolemize(U_3774,sK682(U_3777,U_3776))],[f_681_3]) ).

cnf(f_681_5,plain,
    ( U_3776 = hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,sK681(U_3777,U_3776)),sK682(U_3777,U_3776))
    | hBOOL(hAPP_P659547099r_bool(hAPP_f252398939r_bool(produc1324280167r_bool,U_3777),U_3776)) ),
    inference(clausify,[status(thm)],[f_681_4]) ).

cnf(f_681_6,plain,
    ( ~ hBOOL(hAPP_P828904212r_bool(hAPP_l1342015621r_bool(U_3777,sK681(U_3777,U_3776)),sK682(U_3777,U_3776)))
    | hBOOL(hAPP_P659547099r_bool(hAPP_f252398939r_bool(produc1324280167r_bool,U_3777),U_3776)) ),
    inference(clausify,[status(thm)],[f_681_4]) ).

fof(f_682_1,plain,
    ! [C_2,P_1] :
      ( hBOOL(hAPP_P1680401186r_bool(hAPP_f952817385r_bool(produc723279022r_bool,C_2),P_1))
      | ? [A_1,B_2] :
          ( ~ hBOOL(hAPP_P659547099r_bool(hAPP_l2140727500r_bool(C_2,A_1),B_2))
          & P_1 = hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,A_1),B_2) ) ),
    inference(fof_nnf,[status(thm)],[fact_540_splitI2]) ).

fof(f_682_2,plain,
    ! [U_3781,U_3780] :
      ( hBOOL(hAPP_P1680401186r_bool(hAPP_f952817385r_bool(produc723279022r_bool,U_3781),U_3780))
      | ? [U_3779,U_3778] :
          ( ~ hBOOL(hAPP_P659547099r_bool(hAPP_l2140727500r_bool(U_3781,U_3779),U_3778))
          & U_3780 = hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_3779),U_3778) ) ),
    inference(variable_rename,[status(thm)],[f_682_1]) ).

fof(f_682_3,plain,
    ! [U_3781,U_3780] :
      ( hBOOL(hAPP_P1680401186r_bool(hAPP_f952817385r_bool(produc723279022r_bool,U_3781),U_3780))
      | ? [U_3778] :
          ( ~ hBOOL(hAPP_P659547099r_bool(hAPP_l2140727500r_bool(U_3781,sK683(U_3781,U_3780)),U_3778))
          & U_3780 = hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,sK683(U_3781,U_3780)),U_3778) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK683]),skolemize(U_3779,sK683(U_3781,U_3780))],[f_682_2]) ).

fof(f_682_4,plain,
    ! [U_3781,U_3780] :
      ( hBOOL(hAPP_P1680401186r_bool(hAPP_f952817385r_bool(produc723279022r_bool,U_3781),U_3780))
      | ( ~ hBOOL(hAPP_P659547099r_bool(hAPP_l2140727500r_bool(U_3781,sK683(U_3781,U_3780)),sK684(U_3781,U_3780)))
        & U_3780 = hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,sK683(U_3781,U_3780)),sK684(U_3781,U_3780)) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK684]),skolemize(U_3778,sK684(U_3781,U_3780))],[f_682_3]) ).

cnf(f_682_5,plain,
    ( U_3780 = hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,sK683(U_3781,U_3780)),sK684(U_3781,U_3780))
    | hBOOL(hAPP_P1680401186r_bool(hAPP_f952817385r_bool(produc723279022r_bool,U_3781),U_3780)) ),
    inference(clausify,[status(thm)],[f_682_4]) ).

cnf(f_682_6,plain,
    ( ~ hBOOL(hAPP_P659547099r_bool(hAPP_l2140727500r_bool(U_3781,sK683(U_3781,U_3780)),sK684(U_3781,U_3780)))
    | hBOOL(hAPP_P1680401186r_bool(hAPP_f952817385r_bool(produc723279022r_bool,U_3781),U_3780)) ),
    inference(clausify,[status(thm)],[f_682_4]) ).

fof(f_683_1,plain,
    ! [C_2,P_1] :
      ( hBOOL(hAPP_P2118621157r_bool(hAPP_f1697332217r_bool(produc21910851r_bool,C_2),P_1))
      | ? [A_1,B_2] :
          ( ~ hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(C_2,A_1),B_2))
          & P_1 = hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,A_1),B_2) ) ),
    inference(fof_nnf,[status(thm)],[fact_541_splitI2]) ).

fof(f_683_2,plain,
    ! [U_3785,U_3784] :
      ( hBOOL(hAPP_P2118621157r_bool(hAPP_f1697332217r_bool(produc21910851r_bool,U_3785),U_3784))
      | ? [U_3783,U_3782] :
          ( ~ hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(U_3785,U_3783),U_3782))
          & U_3784 = hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_3783),U_3782) ) ),
    inference(variable_rename,[status(thm)],[f_683_1]) ).

fof(f_683_3,plain,
    ! [U_3785,U_3784] :
      ( hBOOL(hAPP_P2118621157r_bool(hAPP_f1697332217r_bool(produc21910851r_bool,U_3785),U_3784))
      | ? [U_3782] :
          ( ~ hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(U_3785,sK685(U_3785,U_3784)),U_3782))
          & U_3784 = hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,sK685(U_3785,U_3784)),U_3782) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK685]),skolemize(U_3783,sK685(U_3785,U_3784))],[f_683_2]) ).

fof(f_683_4,plain,
    ! [U_3785,U_3784] :
      ( hBOOL(hAPP_P2118621157r_bool(hAPP_f1697332217r_bool(produc21910851r_bool,U_3785),U_3784))
      | ( ~ hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(U_3785,sK685(U_3785,U_3784)),sK686(U_3785,U_3784)))
        & U_3784 = hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,sK685(U_3785,U_3784)),sK686(U_3785,U_3784)) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK686]),skolemize(U_3782,sK686(U_3785,U_3784))],[f_683_3]) ).

cnf(f_683_5,plain,
    ( U_3784 = hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,sK685(U_3785,U_3784)),sK686(U_3785,U_3784))
    | hBOOL(hAPP_P2118621157r_bool(hAPP_f1697332217r_bool(produc21910851r_bool,U_3785),U_3784)) ),
    inference(clausify,[status(thm)],[f_683_4]) ).

cnf(f_683_6,plain,
    ( ~ hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(U_3785,sK685(U_3785,U_3784)),sK686(U_3785,U_3784)))
    | hBOOL(hAPP_P2118621157r_bool(hAPP_f1697332217r_bool(produc21910851r_bool,U_3785),U_3784)) ),
    inference(clausify,[status(thm)],[f_683_4]) ).

fof(f_684_1,plain,
    ! [C_2,P_1] :
      ( hBOOL(hAPP_P1907982426r_bool(hAPP_f102021095r_bool(produc154616760r_bool,C_2),P_1))
      | ? [A_1,B_2] :
          ( ~ hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(C_2,A_1),B_2))
          & P_1 = hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,A_1),B_2) ) ),
    inference(fof_nnf,[status(thm)],[fact_542_splitI2]) ).

fof(f_684_2,plain,
    ! [U_3789,U_3788] :
      ( hBOOL(hAPP_P1907982426r_bool(hAPP_f102021095r_bool(produc154616760r_bool,U_3789),U_3788))
      | ? [U_3787,U_3786] :
          ( ~ hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(U_3789,U_3787),U_3786))
          & U_3788 = hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_3787),U_3786) ) ),
    inference(variable_rename,[status(thm)],[f_684_1]) ).

fof(f_684_3,plain,
    ! [U_3789,U_3788] :
      ( hBOOL(hAPP_P1907982426r_bool(hAPP_f102021095r_bool(produc154616760r_bool,U_3789),U_3788))
      | ? [U_3786] :
          ( ~ hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(U_3789,sK687(U_3789,U_3788)),U_3786))
          & U_3788 = hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,sK687(U_3789,U_3788)),U_3786) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK687]),skolemize(U_3787,sK687(U_3789,U_3788))],[f_684_2]) ).

fof(f_684_4,plain,
    ! [U_3789,U_3788] :
      ( hBOOL(hAPP_P1907982426r_bool(hAPP_f102021095r_bool(produc154616760r_bool,U_3789),U_3788))
      | ( ~ hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(U_3789,sK687(U_3789,U_3788)),sK688(U_3789,U_3788)))
        & U_3788 = hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,sK687(U_3789,U_3788)),sK688(U_3789,U_3788)) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK688]),skolemize(U_3786,sK688(U_3789,U_3788))],[f_684_3]) ).

cnf(f_684_5,plain,
    ( U_3788 = hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,sK687(U_3789,U_3788)),sK688(U_3789,U_3788))
    | hBOOL(hAPP_P1907982426r_bool(hAPP_f102021095r_bool(produc154616760r_bool,U_3789),U_3788)) ),
    inference(clausify,[status(thm)],[f_684_4]) ).

cnf(f_684_6,plain,
    ( ~ hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(U_3789,sK687(U_3789,U_3788)),sK688(U_3789,U_3788)))
    | hBOOL(hAPP_P1907982426r_bool(hAPP_f102021095r_bool(produc154616760r_bool,U_3789),U_3788)) ),
    inference(clausify,[status(thm)],[f_684_4]) ).

fof(f_685_1,plain,
    ! [C_2,P_1] :
      ( hBOOL(hAPP_P92196306r_bool(hAPP_f1613448899r_bool(produc2027921764r_bool,C_2),P_1))
      | ? [A_1,B_2] :
          ( ~ hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(C_2,A_1),B_2))
          & P_1 = hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,A_1),B_2) ) ),
    inference(fof_nnf,[status(thm)],[fact_543_splitI2]) ).

fof(f_685_2,plain,
    ! [U_3793,U_3792] :
      ( hBOOL(hAPP_P92196306r_bool(hAPP_f1613448899r_bool(produc2027921764r_bool,U_3793),U_3792))
      | ? [U_3791,U_3790] :
          ( ~ hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(U_3793,U_3791),U_3790))
          & U_3792 = hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_3791),U_3790) ) ),
    inference(variable_rename,[status(thm)],[f_685_1]) ).

fof(f_685_3,plain,
    ! [U_3793,U_3792] :
      ( hBOOL(hAPP_P92196306r_bool(hAPP_f1613448899r_bool(produc2027921764r_bool,U_3793),U_3792))
      | ? [U_3790] :
          ( ~ hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(U_3793,sK689(U_3793,U_3792)),U_3790))
          & U_3792 = hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,sK689(U_3793,U_3792)),U_3790) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK689]),skolemize(U_3791,sK689(U_3793,U_3792))],[f_685_2]) ).

fof(f_685_4,plain,
    ! [U_3793,U_3792] :
      ( hBOOL(hAPP_P92196306r_bool(hAPP_f1613448899r_bool(produc2027921764r_bool,U_3793),U_3792))
      | ( ~ hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(U_3793,sK689(U_3793,U_3792)),sK690(U_3793,U_3792)))
        & U_3792 = hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,sK689(U_3793,U_3792)),sK690(U_3793,U_3792)) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK690]),skolemize(U_3790,sK690(U_3793,U_3792))],[f_685_3]) ).

cnf(f_685_5,plain,
    ( U_3792 = hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,sK689(U_3793,U_3792)),sK690(U_3793,U_3792))
    | hBOOL(hAPP_P92196306r_bool(hAPP_f1613448899r_bool(produc2027921764r_bool,U_3793),U_3792)) ),
    inference(clausify,[status(thm)],[f_685_4]) ).

cnf(f_685_6,plain,
    ( ~ hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(U_3793,sK689(U_3793,U_3792)),sK690(U_3793,U_3792)))
    | hBOOL(hAPP_P92196306r_bool(hAPP_f1613448899r_bool(produc2027921764r_bool,U_3793),U_3792)) ),
    inference(clausify,[status(thm)],[f_685_4]) ).

fof(f_686_1,plain,
    ! [C_2,P_1] :
      ( hBOOL(hAPP_P71593144l_bool(hAPP_f1634841927l_bool(produc1491230096l_bool,C_2),P_1))
      | ? [A_1,B_2] :
          ( ~ hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(C_2,A_1),B_2))
          & P_1 = hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,A_1),B_2) ) ),
    inference(fof_nnf,[status(thm)],[fact_544_splitI2]) ).

fof(f_686_2,plain,
    ! [U_3797,U_3796] :
      ( hBOOL(hAPP_P71593144l_bool(hAPP_f1634841927l_bool(produc1491230096l_bool,U_3797),U_3796))
      | ? [U_3795,U_3794] :
          ( ~ hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(U_3797,U_3795),U_3794))
          & U_3796 = hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_3795),U_3794) ) ),
    inference(variable_rename,[status(thm)],[f_686_1]) ).

fof(f_686_3,plain,
    ! [U_3797,U_3796] :
      ( hBOOL(hAPP_P71593144l_bool(hAPP_f1634841927l_bool(produc1491230096l_bool,U_3797),U_3796))
      | ? [U_3794] :
          ( ~ hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(U_3797,sK691(U_3797,U_3796)),U_3794))
          & U_3796 = hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,sK691(U_3797,U_3796)),U_3794) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK691]),skolemize(U_3795,sK691(U_3797,U_3796))],[f_686_2]) ).

fof(f_686_4,plain,
    ! [U_3797,U_3796] :
      ( hBOOL(hAPP_P71593144l_bool(hAPP_f1634841927l_bool(produc1491230096l_bool,U_3797),U_3796))
      | ( ~ hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(U_3797,sK691(U_3797,U_3796)),sK692(U_3797,U_3796)))
        & U_3796 = hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,sK691(U_3797,U_3796)),sK692(U_3797,U_3796)) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK692]),skolemize(U_3794,sK692(U_3797,U_3796))],[f_686_3]) ).

cnf(f_686_5,plain,
    ( U_3796 = hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,sK691(U_3797,U_3796)),sK692(U_3797,U_3796))
    | hBOOL(hAPP_P71593144l_bool(hAPP_f1634841927l_bool(produc1491230096l_bool,U_3797),U_3796)) ),
    inference(clausify,[status(thm)],[f_686_4]) ).

cnf(f_686_6,plain,
    ( ~ hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(U_3797,sK691(U_3797,U_3796)),sK692(U_3797,U_3796)))
    | hBOOL(hAPP_P71593144l_bool(hAPP_f1634841927l_bool(produc1491230096l_bool,U_3797),U_3796)) ),
    inference(clausify,[status(thm)],[f_686_4]) ).

fof(f_687_1,plain,
    ! [C_2,P_1] :
      ( hBOOL(hAPP_P1333315679l_bool(hAPP_f1525114763l_bool(produc70644925l_bool,C_2),P_1))
      | ? [A_1,B_2] :
          ( ~ hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(C_2,A_1),B_2))
          & P_1 = hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A_1),B_2) ) ),
    inference(fof_nnf,[status(thm)],[fact_545_splitI2]) ).

fof(f_687_2,plain,
    ! [U_3801,U_3800] :
      ( hBOOL(hAPP_P1333315679l_bool(hAPP_f1525114763l_bool(produc70644925l_bool,U_3801),U_3800))
      | ? [U_3799,U_3798] :
          ( ~ hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(U_3801,U_3799),U_3798))
          & U_3800 = hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_3799),U_3798) ) ),
    inference(variable_rename,[status(thm)],[f_687_1]) ).

fof(f_687_3,plain,
    ! [U_3801,U_3800] :
      ( hBOOL(hAPP_P1333315679l_bool(hAPP_f1525114763l_bool(produc70644925l_bool,U_3801),U_3800))
      | ? [U_3798] :
          ( ~ hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(U_3801,sK693(U_3801,U_3800)),U_3798))
          & U_3800 = hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,sK693(U_3801,U_3800)),U_3798) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK693]),skolemize(U_3799,sK693(U_3801,U_3800))],[f_687_2]) ).

fof(f_687_4,plain,
    ! [U_3801,U_3800] :
      ( hBOOL(hAPP_P1333315679l_bool(hAPP_f1525114763l_bool(produc70644925l_bool,U_3801),U_3800))
      | ( ~ hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(U_3801,sK693(U_3801,U_3800)),sK694(U_3801,U_3800)))
        & U_3800 = hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,sK693(U_3801,U_3800)),sK694(U_3801,U_3800)) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK694]),skolemize(U_3798,sK694(U_3801,U_3800))],[f_687_3]) ).

cnf(f_687_5,plain,
    ( U_3800 = hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,sK693(U_3801,U_3800)),sK694(U_3801,U_3800))
    | hBOOL(hAPP_P1333315679l_bool(hAPP_f1525114763l_bool(produc70644925l_bool,U_3801),U_3800)) ),
    inference(clausify,[status(thm)],[f_687_4]) ).

cnf(f_687_6,plain,
    ( ~ hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(U_3801,sK693(U_3801,U_3800)),sK694(U_3801,U_3800)))
    | hBOOL(hAPP_P1333315679l_bool(hAPP_f1525114763l_bool(produc70644925l_bool,U_3801),U_3800)) ),
    inference(clausify,[status(thm)],[f_687_4]) ).

fof(f_688_1,plain,
    ! [C_2,P_1] :
      ( hBOOL(hAPP_P929938951l_bool(hAPP_f1534412387l_bool(produc769963999l_bool,C_2),P_1))
      | ? [A_1,B_2] :
          ( ~ hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(C_2,A_1),B_2))
          & P_1 = hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A_1),B_2) ) ),
    inference(fof_nnf,[status(thm)],[fact_546_splitI2]) ).

fof(f_688_2,plain,
    ! [U_3805,U_3804] :
      ( hBOOL(hAPP_P929938951l_bool(hAPP_f1534412387l_bool(produc769963999l_bool,U_3805),U_3804))
      | ? [U_3803,U_3802] :
          ( ~ hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(U_3805,U_3803),U_3802))
          & U_3804 = hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_3803),U_3802) ) ),
    inference(variable_rename,[status(thm)],[f_688_1]) ).

fof(f_688_3,plain,
    ! [U_3805,U_3804] :
      ( hBOOL(hAPP_P929938951l_bool(hAPP_f1534412387l_bool(produc769963999l_bool,U_3805),U_3804))
      | ? [U_3802] :
          ( ~ hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(U_3805,sK695(U_3805,U_3804)),U_3802))
          & U_3804 = hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,sK695(U_3805,U_3804)),U_3802) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK695]),skolemize(U_3803,sK695(U_3805,U_3804))],[f_688_2]) ).

fof(f_688_4,plain,
    ! [U_3805,U_3804] :
      ( hBOOL(hAPP_P929938951l_bool(hAPP_f1534412387l_bool(produc769963999l_bool,U_3805),U_3804))
      | ( ~ hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(U_3805,sK695(U_3805,U_3804)),sK696(U_3805,U_3804)))
        & U_3804 = hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,sK695(U_3805,U_3804)),sK696(U_3805,U_3804)) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK696]),skolemize(U_3802,sK696(U_3805,U_3804))],[f_688_3]) ).

cnf(f_688_5,plain,
    ( U_3804 = hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,sK695(U_3805,U_3804)),sK696(U_3805,U_3804))
    | hBOOL(hAPP_P929938951l_bool(hAPP_f1534412387l_bool(produc769963999l_bool,U_3805),U_3804)) ),
    inference(clausify,[status(thm)],[f_688_4]) ).

cnf(f_688_6,plain,
    ( ~ hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(U_3805,sK695(U_3805,U_3804)),sK696(U_3805,U_3804)))
    | hBOOL(hAPP_P929938951l_bool(hAPP_f1534412387l_bool(produc769963999l_bool,U_3805),U_3804)) ),
    inference(clausify,[status(thm)],[f_688_4]) ).

fof(f_689_1,plain,
    ! [C_2,P_1] :
      ( hBOOL(hAPP_P943837928l_bool(hAPP_f340876351l_bool(produc1326056646l_bool,C_2),P_1))
      | ? [A_1,B_2] :
          ( ~ hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(C_2,A_1),B_2))
          & P_1 = hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,A_1),B_2)
          & is_bop(A_1) ) ),
    inference(fof_nnf,[status(thm)],[fact_547_splitI2]) ).

fof(f_689_2,plain,
    ! [U_3809,U_3808] :
      ( hBOOL(hAPP_P943837928l_bool(hAPP_f340876351l_bool(produc1326056646l_bool,U_3809),U_3808))
      | ? [U_3807,U_3806] :
          ( ~ hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(U_3809,U_3807),U_3806))
          & U_3808 = hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_3807),U_3806)
          & is_bop(U_3807) ) ),
    inference(variable_rename,[status(thm)],[f_689_1]) ).

fof(f_689_3,plain,
    ! [U_3809,U_3808] :
      ( hBOOL(hAPP_P943837928l_bool(hAPP_f340876351l_bool(produc1326056646l_bool,U_3809),U_3808))
      | ? [U_3807] :
          ( ? [U_3806] :
              ( ~ hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(U_3809,U_3807),U_3806))
              & U_3808 = hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_3807),U_3806) )
          & is_bop(U_3807) ) ),
    inference(miniscope,[status(thm)],[f_689_2]) ).

fof(f_689_4,plain,
    ! [U_3809,U_3808] :
      ( hBOOL(hAPP_P943837928l_bool(hAPP_f340876351l_bool(produc1326056646l_bool,U_3809),U_3808))
      | ( ? [U_3806] :
            ( ~ hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(U_3809,sK697(U_3809,U_3808)),U_3806))
            & U_3808 = hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,sK697(U_3809,U_3808)),U_3806) )
        & is_bop(sK697(U_3809,U_3808)) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK697]),skolemize(U_3807,sK697(U_3809,U_3808))],[f_689_3]) ).

fof(f_689_5,plain,
    ! [U_3809,U_3808] :
      ( hBOOL(hAPP_P943837928l_bool(hAPP_f340876351l_bool(produc1326056646l_bool,U_3809),U_3808))
      | ( ~ hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(U_3809,sK697(U_3809,U_3808)),sK698(U_3809,U_3808)))
        & U_3808 = hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,sK697(U_3809,U_3808)),sK698(U_3809,U_3808))
        & is_bop(sK697(U_3809,U_3808)) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK698]),skolemize(U_3806,sK698(U_3809,U_3808))],[f_689_4]) ).

cnf(f_689_6,plain,
    ( is_bop(sK697(U_3809,U_3808))
    | hBOOL(hAPP_P943837928l_bool(hAPP_f340876351l_bool(produc1326056646l_bool,U_3809),U_3808)) ),
    inference(clausify,[status(thm)],[f_689_5]) ).

cnf(f_689_7,plain,
    ( U_3808 = hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,sK697(U_3809,U_3808)),sK698(U_3809,U_3808))
    | hBOOL(hAPP_P943837928l_bool(hAPP_f340876351l_bool(produc1326056646l_bool,U_3809),U_3808)) ),
    inference(clausify,[status(thm)],[f_689_5]) ).

cnf(f_689_8,plain,
    ( ~ hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(U_3809,sK697(U_3809,U_3808)),sK698(U_3809,U_3808)))
    | hBOOL(hAPP_P943837928l_bool(hAPP_f340876351l_bool(produc1326056646l_bool,U_3809),U_3808)) ),
    inference(clausify,[status(thm)],[f_689_5]) ).

fof(f_690_1,plain,
    ! [C_2,P_1] :
      ( hBOOL(hAPP_P449474095r_bool(hAPP_f2132060507r_bool(produc1704639885r_bool,C_2),P_1))
      | ? [A_1,B_2] :
          ( ~ hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(C_2,A_1),B_2))
          & P_1 = hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A_1),B_2) ) ),
    inference(fof_nnf,[status(thm)],[fact_548_splitI2]) ).

fof(f_690_2,plain,
    ! [U_3813,U_3812] :
      ( hBOOL(hAPP_P449474095r_bool(hAPP_f2132060507r_bool(produc1704639885r_bool,U_3813),U_3812))
      | ? [U_3811,U_3810] :
          ( ~ hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(U_3813,U_3811),U_3810))
          & U_3812 = hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_3811),U_3810) ) ),
    inference(variable_rename,[status(thm)],[f_690_1]) ).

fof(f_690_3,plain,
    ! [U_3813,U_3812] :
      ( hBOOL(hAPP_P449474095r_bool(hAPP_f2132060507r_bool(produc1704639885r_bool,U_3813),U_3812))
      | ? [U_3810] :
          ( ~ hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(U_3813,sK699(U_3813,U_3812)),U_3810))
          & U_3812 = hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,sK699(U_3813,U_3812)),U_3810) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK699]),skolemize(U_3811,sK699(U_3813,U_3812))],[f_690_2]) ).

fof(f_690_4,plain,
    ! [U_3813,U_3812] :
      ( hBOOL(hAPP_P449474095r_bool(hAPP_f2132060507r_bool(produc1704639885r_bool,U_3813),U_3812))
      | ( ~ hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(U_3813,sK699(U_3813,U_3812)),sK700(U_3813,U_3812)))
        & U_3812 = hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,sK699(U_3813,U_3812)),sK700(U_3813,U_3812)) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK700]),skolemize(U_3810,sK700(U_3813,U_3812))],[f_690_3]) ).

cnf(f_690_5,plain,
    ( U_3812 = hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,sK699(U_3813,U_3812)),sK700(U_3813,U_3812))
    | hBOOL(hAPP_P449474095r_bool(hAPP_f2132060507r_bool(produc1704639885r_bool,U_3813),U_3812)) ),
    inference(clausify,[status(thm)],[f_690_4]) ).

cnf(f_690_6,plain,
    ( ~ hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(U_3813,sK699(U_3813,U_3812)),sK700(U_3813,U_3812)))
    | hBOOL(hAPP_P449474095r_bool(hAPP_f2132060507r_bool(produc1704639885r_bool,U_3813),U_3812)) ),
    inference(clausify,[status(thm)],[f_690_4]) ).

fof(f_691_1,plain,
    ! [C_2,P_1] :
      ( hBOOL(hAPP_P1235399154l_bool(hAPP_f1443410953l_bool(produc392960766l_bool,C_2),P_1))
      | ? [A_1,B_2] :
          ( ~ hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(C_2,A_1),B_2))
          & P_1 = hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,A_1),B_2) ) ),
    inference(fof_nnf,[status(thm)],[fact_549_splitI2]) ).

fof(f_691_2,plain,
    ! [U_3817,U_3816] :
      ( hBOOL(hAPP_P1235399154l_bool(hAPP_f1443410953l_bool(produc392960766l_bool,U_3817),U_3816))
      | ? [U_3815,U_3814] :
          ( ~ hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(U_3817,U_3815),U_3814))
          & U_3816 = hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_3815),U_3814) ) ),
    inference(variable_rename,[status(thm)],[f_691_1]) ).

fof(f_691_3,plain,
    ! [U_3817,U_3816] :
      ( hBOOL(hAPP_P1235399154l_bool(hAPP_f1443410953l_bool(produc392960766l_bool,U_3817),U_3816))
      | ? [U_3814] :
          ( ~ hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(U_3817,sK701(U_3817,U_3816)),U_3814))
          & U_3816 = hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,sK701(U_3817,U_3816)),U_3814) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK701]),skolemize(U_3815,sK701(U_3817,U_3816))],[f_691_2]) ).

fof(f_691_4,plain,
    ! [U_3817,U_3816] :
      ( hBOOL(hAPP_P1235399154l_bool(hAPP_f1443410953l_bool(produc392960766l_bool,U_3817),U_3816))
      | ( ~ hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(U_3817,sK701(U_3817,U_3816)),sK702(U_3817,U_3816)))
        & U_3816 = hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,sK701(U_3817,U_3816)),sK702(U_3817,U_3816)) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK702]),skolemize(U_3814,sK702(U_3817,U_3816))],[f_691_3]) ).

cnf(f_691_5,plain,
    ( U_3816 = hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,sK701(U_3817,U_3816)),sK702(U_3817,U_3816))
    | hBOOL(hAPP_P1235399154l_bool(hAPP_f1443410953l_bool(produc392960766l_bool,U_3817),U_3816)) ),
    inference(clausify,[status(thm)],[f_691_4]) ).

cnf(f_691_6,plain,
    ( ~ hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(U_3817,sK701(U_3817,U_3816)),sK702(U_3817,U_3816)))
    | hBOOL(hAPP_P1235399154l_bool(hAPP_f1443410953l_bool(produc392960766l_bool,U_3817),U_3816)) ),
    inference(clausify,[status(thm)],[f_691_4]) ).

fof(f_692_1,plain,
    ! [C_2,P_1] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,C_2),P_1))
      | ? [A_1,B_2] :
          ( ~ hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(C_2,A_1),B_2))
          & P_1 = hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A_1),B_2) ) ),
    inference(fof_nnf,[status(thm)],[fact_550_splitI2]) ).

fof(f_692_2,plain,
    ! [U_3821,U_3820] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,U_3821),U_3820))
      | ? [U_3819,U_3818] :
          ( ~ hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(U_3821,U_3819),U_3818))
          & U_3820 = hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_3819),U_3818) ) ),
    inference(variable_rename,[status(thm)],[f_692_1]) ).

fof(f_692_3,plain,
    ! [U_3821,U_3820] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,U_3821),U_3820))
      | ? [U_3818] :
          ( ~ hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(U_3821,sK703(U_3821,U_3820)),U_3818))
          & U_3820 = hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK703(U_3821,U_3820)),U_3818) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK703]),skolemize(U_3819,sK703(U_3821,U_3820))],[f_692_2]) ).

fof(f_692_4,plain,
    ! [U_3821,U_3820] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,U_3821),U_3820))
      | ( ~ hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(U_3821,sK703(U_3821,U_3820)),sK704(U_3821,U_3820)))
        & U_3820 = hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK703(U_3821,U_3820)),sK704(U_3821,U_3820)) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK704]),skolemize(U_3818,sK704(U_3821,U_3820))],[f_692_3]) ).

cnf(f_692_5,plain,
    ( U_3820 = hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK703(U_3821,U_3820)),sK704(U_3821,U_3820))
    | hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,U_3821),U_3820)) ),
    inference(clausify,[status(thm)],[f_692_4]) ).

cnf(f_692_6,plain,
    ( ~ hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(U_3821,sK703(U_3821,U_3820)),sK704(U_3821,U_3820)))
    | hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,U_3821),U_3820)) ),
    inference(clausify,[status(thm)],[f_692_4]) ).

fof(f_693_1,plain,
    ! [C_2,P_1] :
      ( hBOOL(hAPP_P1708370145l_bool(hAPP_f1930574389l_bool(produc1815960045l_bool,C_2),P_1))
      | ? [A_1,B_2] :
          ( ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(C_2,A_1),B_2))
          & P_1 = hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A_1),B_2) ) ),
    inference(fof_nnf,[status(thm)],[fact_551_splitI2]) ).

fof(f_693_2,plain,
    ! [U_3825,U_3824] :
      ( hBOOL(hAPP_P1708370145l_bool(hAPP_f1930574389l_bool(produc1815960045l_bool,U_3825),U_3824))
      | ? [U_3823,U_3822] :
          ( ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(U_3825,U_3823),U_3822))
          & U_3824 = hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_3823),U_3822) ) ),
    inference(variable_rename,[status(thm)],[f_693_1]) ).

fof(f_693_3,plain,
    ! [U_3825,U_3824] :
      ( hBOOL(hAPP_P1708370145l_bool(hAPP_f1930574389l_bool(produc1815960045l_bool,U_3825),U_3824))
      | ? [U_3822] :
          ( ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(U_3825,sK705(U_3825,U_3824)),U_3822))
          & U_3824 = hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK705(U_3825,U_3824)),U_3822) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK705]),skolemize(U_3823,sK705(U_3825,U_3824))],[f_693_2]) ).

fof(f_693_4,plain,
    ! [U_3825,U_3824] :
      ( hBOOL(hAPP_P1708370145l_bool(hAPP_f1930574389l_bool(produc1815960045l_bool,U_3825),U_3824))
      | ( ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(U_3825,sK705(U_3825,U_3824)),sK706(U_3825,U_3824)))
        & U_3824 = hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK705(U_3825,U_3824)),sK706(U_3825,U_3824)) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK706]),skolemize(U_3822,sK706(U_3825,U_3824))],[f_693_3]) ).

cnf(f_693_5,plain,
    ( U_3824 = hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK705(U_3825,U_3824)),sK706(U_3825,U_3824))
    | hBOOL(hAPP_P1708370145l_bool(hAPP_f1930574389l_bool(produc1815960045l_bool,U_3825),U_3824)) ),
    inference(clausify,[status(thm)],[f_693_4]) ).

cnf(f_693_6,plain,
    ( ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(U_3825,sK705(U_3825,U_3824)),sK706(U_3825,U_3824)))
    | hBOOL(hAPP_P1708370145l_bool(hAPP_f1930574389l_bool(produc1815960045l_bool,U_3825),U_3824)) ),
    inference(clausify,[status(thm)],[f_693_4]) ).

fof(f_694_1,plain,
    ! [C_2,P_1] :
      ( hBOOL(hAPP_P282169671l_bool(hAPP_f635218277l_bool(produc1911463199l_bool,C_2),P_1))
      | ? [A_1,B_2] :
          ( ~ hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(C_2,A_1),B_2))
          & P_1 = hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_1),B_2) ) ),
    inference(fof_nnf,[status(thm)],[fact_552_splitI2]) ).

fof(f_694_2,plain,
    ! [U_3829,U_3828] :
      ( hBOOL(hAPP_P282169671l_bool(hAPP_f635218277l_bool(produc1911463199l_bool,U_3829),U_3828))
      | ? [U_3827,U_3826] :
          ( ~ hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(U_3829,U_3827),U_3826))
          & U_3828 = hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_3827),U_3826) ) ),
    inference(variable_rename,[status(thm)],[f_694_1]) ).

fof(f_694_3,plain,
    ! [U_3829,U_3828] :
      ( hBOOL(hAPP_P282169671l_bool(hAPP_f635218277l_bool(produc1911463199l_bool,U_3829),U_3828))
      | ? [U_3826] :
          ( ~ hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(U_3829,sK707(U_3829,U_3828)),U_3826))
          & U_3828 = hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK707(U_3829,U_3828)),U_3826) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK707]),skolemize(U_3827,sK707(U_3829,U_3828))],[f_694_2]) ).

fof(f_694_4,plain,
    ! [U_3829,U_3828] :
      ( hBOOL(hAPP_P282169671l_bool(hAPP_f635218277l_bool(produc1911463199l_bool,U_3829),U_3828))
      | ( ~ hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(U_3829,sK707(U_3829,U_3828)),sK708(U_3829,U_3828)))
        & U_3828 = hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK707(U_3829,U_3828)),sK708(U_3829,U_3828)) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK708]),skolemize(U_3826,sK708(U_3829,U_3828))],[f_694_3]) ).

cnf(f_694_5,plain,
    ( U_3828 = hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK707(U_3829,U_3828)),sK708(U_3829,U_3828))
    | hBOOL(hAPP_P282169671l_bool(hAPP_f635218277l_bool(produc1911463199l_bool,U_3829),U_3828)) ),
    inference(clausify,[status(thm)],[f_694_4]) ).

cnf(f_694_6,plain,
    ( ~ hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(U_3829,sK707(U_3829,U_3828)),sK708(U_3829,U_3828)))
    | hBOOL(hAPP_P282169671l_bool(hAPP_f635218277l_bool(produc1911463199l_bool,U_3829),U_3828)) ),
    inference(clausify,[status(thm)],[f_694_4]) ).

fof(f_695_1,plain,
    ! [E_2,T_2_2,Pa,Hb,Ea,E_1_1,T_1_1] :
      ( hBOOL(wTrt_1(Pa,Hb,Ea,seq_list_char(E_1_1,E_2),T_2_2))
      | ~ hBOOL(wTrt_1(Pa,Hb,Ea,E_2,T_2_2))
      | ~ hBOOL(wTrt_1(Pa,Hb,Ea,E_1_1,T_1_1)) ),
    inference(fof_nnf,[status(thm)],[fact_553_WTrtSeq]) ).

fof(f_695_2,plain,
    ! [U_3836,U_3835,U_3834,U_3833,U_3832,U_3831,U_3830] :
      ( hBOOL(wTrt_1(U_3834,U_3833,U_3832,seq_list_char(U_3831,U_3836),U_3835))
      | ~ hBOOL(wTrt_1(U_3834,U_3833,U_3832,U_3836,U_3835))
      | ~ hBOOL(wTrt_1(U_3834,U_3833,U_3832,U_3831,U_3830)) ),
    inference(variable_rename,[status(thm)],[f_695_1]) ).

fof(f_695_3,plain,
    ! [U_3836,U_3835,U_3834,U_3833,U_3832,U_3831] :
      ( ! [U_3830] : ~ hBOOL(wTrt_1(U_3834,U_3833,U_3832,U_3831,U_3830))
      | hBOOL(wTrt_1(U_3834,U_3833,U_3832,seq_list_char(U_3831,U_3836),U_3835))
      | ~ hBOOL(wTrt_1(U_3834,U_3833,U_3832,U_3836,U_3835)) ),
    inference(miniscope,[status(thm)],[f_695_2]) ).

cnf(f_695_4,plain,
    ( ~ hBOOL(wTrt_1(U_3834,U_3833,U_3832,U_3831,U_3830))
    | hBOOL(wTrt_1(U_3834,U_3833,U_3832,seq_list_char(U_3831,U_3836),U_3835))
    | ~ hBOOL(wTrt_1(U_3834,U_3833,U_3832,U_3836,U_3835)) ),
    inference(clausify,[status(thm)],[f_695_3]) ).

fof(f_696_1,plain,
    ! [Pa,Hb,Lb,Ea] :
      ( ( hBOOL(hAPP_f1001225811y_bool(hAPP_f2060496320y_bool(hAPP_f1213370163y_bool(lconf_496643946t_char(Pa),Hb),Lb),Ea))
        | ? [V_3,V_2] :
            ( ! [T_4] :
                ( ~ hBOOL(conf_P373316194t_char(Pa,Hb,V_2,T_4))
                | hAPP_l512744617ion_ty(Ea,V_3) != hAPP_ty_option_ty(some_ty,T_4) )
            & hAPP_l207779698on_val(Lb,V_3) = hAPP_val_option_val(some_val,V_2) ) )
      & ( ! [V_3,V_2] :
            ( ? [T_4] :
                ( hBOOL(conf_P373316194t_char(Pa,Hb,V_2,T_4))
                & hAPP_l512744617ion_ty(Ea,V_3) = hAPP_ty_option_ty(some_ty,T_4) )
            | hAPP_l207779698on_val(Lb,V_3) != hAPP_val_option_val(some_val,V_2) )
        | ~ hBOOL(hAPP_f1001225811y_bool(hAPP_f2060496320y_bool(hAPP_f1213370163y_bool(lconf_496643946t_char(Pa),Hb),Lb),Ea)) ) ),
    inference(fof_nnf,[status(thm)],[fact_554_lconf__def]) ).

fof(f_696_2,plain,
    ! [U_3846,U_3845,U_3844,U_3843] :
      ( ( hBOOL(hAPP_f1001225811y_bool(hAPP_f2060496320y_bool(hAPP_f1213370163y_bool(lconf_496643946t_char(U_3846),U_3845),U_3844),U_3843))
        | ? [U_3842,U_3841] :
            ( ! [U_3840] :
                ( ~ hBOOL(conf_P373316194t_char(U_3846,U_3845,U_3841,U_3840))
                | hAPP_l512744617ion_ty(U_3843,U_3842) != hAPP_ty_option_ty(some_ty,U_3840) )
            & hAPP_l207779698on_val(U_3844,U_3842) = hAPP_val_option_val(some_val,U_3841) ) )
      & ( ! [U_3839,U_3838] :
            ( ? [U_3837] :
                ( hBOOL(conf_P373316194t_char(U_3846,U_3845,U_3838,U_3837))
                & hAPP_l512744617ion_ty(U_3843,U_3839) = hAPP_ty_option_ty(some_ty,U_3837) )
            | hAPP_l207779698on_val(U_3844,U_3839) != hAPP_val_option_val(some_val,U_3838) )
        | ~ hBOOL(hAPP_f1001225811y_bool(hAPP_f2060496320y_bool(hAPP_f1213370163y_bool(lconf_496643946t_char(U_3846),U_3845),U_3844),U_3843)) ) ),
    inference(variable_rename,[status(thm)],[f_696_1]) ).

fof(f_696_3,plain,
    ( ! [U_3854,U_3852,U_3850,U_3848] :
        ( hBOOL(hAPP_f1001225811y_bool(hAPP_f2060496320y_bool(hAPP_f1213370163y_bool(lconf_496643946t_char(U_3854),U_3852),U_3850),U_3848))
        | ? [U_3842,U_3841] :
            ( ! [U_3840] :
                ( ~ hBOOL(conf_P373316194t_char(U_3854,U_3852,U_3841,U_3840))
                | hAPP_l512744617ion_ty(U_3848,U_3842) != hAPP_ty_option_ty(some_ty,U_3840) )
            & hAPP_l207779698on_val(U_3850,U_3842) = hAPP_val_option_val(some_val,U_3841) ) )
    & ! [U_3853,U_3851,U_3849,U_3847] :
        ( ! [U_3839,U_3838] :
            ( ? [U_3837] :
                ( hBOOL(conf_P373316194t_char(U_3853,U_3851,U_3838,U_3837))
                & hAPP_l512744617ion_ty(U_3847,U_3839) = hAPP_ty_option_ty(some_ty,U_3837) )
            | hAPP_l207779698on_val(U_3849,U_3839) != hAPP_val_option_val(some_val,U_3838) )
        | ~ hBOOL(hAPP_f1001225811y_bool(hAPP_f2060496320y_bool(hAPP_f1213370163y_bool(lconf_496643946t_char(U_3853),U_3851),U_3849),U_3847)) ) ),
    inference(miniscope,[status(thm)],[f_696_2]) ).

fof(f_696_4,plain,
    ( ! [U_3854,U_3852,U_3850,U_3848] :
        ( hBOOL(hAPP_f1001225811y_bool(hAPP_f2060496320y_bool(hAPP_f1213370163y_bool(lconf_496643946t_char(U_3854),U_3852),U_3850),U_3848))
        | ? [U_3842,U_3841] :
            ( ! [U_3840] :
                ( ~ hBOOL(conf_P373316194t_char(U_3854,U_3852,U_3841,U_3840))
                | hAPP_l512744617ion_ty(U_3848,U_3842) != hAPP_ty_option_ty(some_ty,U_3840) )
            & hAPP_l207779698on_val(U_3850,U_3842) = hAPP_val_option_val(some_val,U_3841) ) )
    & ! [U_3853,U_3851,U_3849,U_3847] :
        ( ! [U_3839,U_3838] :
            ( ( hBOOL(conf_P373316194t_char(U_3853,U_3851,U_3838,sK709(U_3853,U_3851,U_3849,U_3847,U_3839,U_3838)))
              & hAPP_l512744617ion_ty(U_3847,U_3839) = hAPP_ty_option_ty(some_ty,sK709(U_3853,U_3851,U_3849,U_3847,U_3839,U_3838)) )
            | hAPP_l207779698on_val(U_3849,U_3839) != hAPP_val_option_val(some_val,U_3838) )
        | ~ hBOOL(hAPP_f1001225811y_bool(hAPP_f2060496320y_bool(hAPP_f1213370163y_bool(lconf_496643946t_char(U_3853),U_3851),U_3849),U_3847)) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK709]),skolemize(U_3837,sK709(U_3853,U_3851,U_3849,U_3847,U_3839,U_3838))],[f_696_3]) ).

fof(f_696_5,plain,
    ( ! [U_3854,U_3852,U_3850,U_3848] :
        ( hBOOL(hAPP_f1001225811y_bool(hAPP_f2060496320y_bool(hAPP_f1213370163y_bool(lconf_496643946t_char(U_3854),U_3852),U_3850),U_3848))
        | ? [U_3841] :
            ( ! [U_3840] :
                ( ~ hBOOL(conf_P373316194t_char(U_3854,U_3852,U_3841,U_3840))
                | hAPP_l512744617ion_ty(U_3848,sK710(U_3854,U_3852,U_3850,U_3848)) != hAPP_ty_option_ty(some_ty,U_3840) )
            & hAPP_l207779698on_val(U_3850,sK710(U_3854,U_3852,U_3850,U_3848)) = hAPP_val_option_val(some_val,U_3841) ) )
    & ! [U_3853,U_3851,U_3849,U_3847] :
        ( ! [U_3839,U_3838] :
            ( ( hBOOL(conf_P373316194t_char(U_3853,U_3851,U_3838,sK709(U_3853,U_3851,U_3849,U_3847,U_3839,U_3838)))
              & hAPP_l512744617ion_ty(U_3847,U_3839) = hAPP_ty_option_ty(some_ty,sK709(U_3853,U_3851,U_3849,U_3847,U_3839,U_3838)) )
            | hAPP_l207779698on_val(U_3849,U_3839) != hAPP_val_option_val(some_val,U_3838) )
        | ~ hBOOL(hAPP_f1001225811y_bool(hAPP_f2060496320y_bool(hAPP_f1213370163y_bool(lconf_496643946t_char(U_3853),U_3851),U_3849),U_3847)) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK710]),skolemize(U_3842,sK710(U_3854,U_3852,U_3850,U_3848))],[f_696_4]) ).

fof(f_696_6,plain,
    ( ! [U_3854,U_3852,U_3850,U_3848] :
        ( hBOOL(hAPP_f1001225811y_bool(hAPP_f2060496320y_bool(hAPP_f1213370163y_bool(lconf_496643946t_char(U_3854),U_3852),U_3850),U_3848))
        | ( ! [U_3840] :
              ( ~ hBOOL(conf_P373316194t_char(U_3854,U_3852,sK711(U_3854,U_3852,U_3850,U_3848),U_3840))
              | hAPP_l512744617ion_ty(U_3848,sK710(U_3854,U_3852,U_3850,U_3848)) != hAPP_ty_option_ty(some_ty,U_3840) )
          & hAPP_l207779698on_val(U_3850,sK710(U_3854,U_3852,U_3850,U_3848)) = hAPP_val_option_val(some_val,sK711(U_3854,U_3852,U_3850,U_3848)) ) )
    & ! [U_3853,U_3851,U_3849,U_3847] :
        ( ! [U_3839,U_3838] :
            ( ( hBOOL(conf_P373316194t_char(U_3853,U_3851,U_3838,sK709(U_3853,U_3851,U_3849,U_3847,U_3839,U_3838)))
              & hAPP_l512744617ion_ty(U_3847,U_3839) = hAPP_ty_option_ty(some_ty,sK709(U_3853,U_3851,U_3849,U_3847,U_3839,U_3838)) )
            | hAPP_l207779698on_val(U_3849,U_3839) != hAPP_val_option_val(some_val,U_3838) )
        | ~ hBOOL(hAPP_f1001225811y_bool(hAPP_f2060496320y_bool(hAPP_f1213370163y_bool(lconf_496643946t_char(U_3853),U_3851),U_3849),U_3847)) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK711]),skolemize(U_3841,sK711(U_3854,U_3852,U_3850,U_3848))],[f_696_5]) ).

cnf(f_696_7,plain,
    ( hAPP_l512744617ion_ty(U_3847,U_3839) = hAPP_ty_option_ty(some_ty,sK709(U_3853,U_3851,U_3849,U_3847,U_3839,U_3838))
    | hAPP_l207779698on_val(U_3849,U_3839) != hAPP_val_option_val(some_val,U_3838)
    | ~ hBOOL(hAPP_f1001225811y_bool(hAPP_f2060496320y_bool(hAPP_f1213370163y_bool(lconf_496643946t_char(U_3853),U_3851),U_3849),U_3847)) ),
    inference(clausify,[status(thm)],[f_696_6]) ).

cnf(f_696_8,plain,
    ( hBOOL(conf_P373316194t_char(U_3853,U_3851,U_3838,sK709(U_3853,U_3851,U_3849,U_3847,U_3839,U_3838)))
    | hAPP_l207779698on_val(U_3849,U_3839) != hAPP_val_option_val(some_val,U_3838)
    | ~ hBOOL(hAPP_f1001225811y_bool(hAPP_f2060496320y_bool(hAPP_f1213370163y_bool(lconf_496643946t_char(U_3853),U_3851),U_3849),U_3847)) ),
    inference(clausify,[status(thm)],[f_696_6]) ).

cnf(f_696_9,plain,
    ( hAPP_l207779698on_val(U_3850,sK710(U_3854,U_3852,U_3850,U_3848)) = hAPP_val_option_val(some_val,sK711(U_3854,U_3852,U_3850,U_3848))
    | hBOOL(hAPP_f1001225811y_bool(hAPP_f2060496320y_bool(hAPP_f1213370163y_bool(lconf_496643946t_char(U_3854),U_3852),U_3850),U_3848)) ),
    inference(clausify,[status(thm)],[f_696_6]) ).

cnf(f_696_10,plain,
    ( ~ hBOOL(conf_P373316194t_char(U_3854,U_3852,sK711(U_3854,U_3852,U_3850,U_3848),U_3840))
    | hAPP_l512744617ion_ty(U_3848,sK710(U_3854,U_3852,U_3850,U_3848)) != hAPP_ty_option_ty(some_ty,U_3840)
    | hBOOL(hAPP_f1001225811y_bool(hAPP_f2060496320y_bool(hAPP_f1213370163y_bool(lconf_496643946t_char(U_3854),U_3852),U_3850),U_3848)) ),
    inference(clausify,[status(thm)],[f_696_6]) ).

fof(f_697_1,plain,
    ! [Va_1,Va,Hb,Lb,Pa] : hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,lAss_list_char(Va_1,hAPP_v834067052t_char(val_list_char,Va))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,unit)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),fun_up1149430426on_val(Lb,Va_1,hAPP_val_option_val(some_val,Va)))))),red(Pa))),
    inference(fof_nnf,[status(thm)],[fact_555_red__reds_ORedLAss]) ).

fof(f_697_2,plain,
    ! [U_3859,U_3858,U_3857,U_3856,U_3855] : hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,lAss_list_char(U_3859,hAPP_v834067052t_char(val_list_char,U_3858))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_3857),U_3856))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,unit)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_3857),fun_up1149430426on_val(U_3856,U_3859,hAPP_val_option_val(some_val,U_3858)))))),red(U_3855))),
    inference(variable_rename,[status(thm)],[f_697_1]) ).

cnf(f_697_3,plain,
    hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,lAss_list_char(U_3859,hAPP_v834067052t_char(val_list_char,U_3858))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_3857),U_3856))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,unit)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_3857),fun_up1149430426on_val(U_3856,U_3859,hAPP_val_option_val(some_val,U_3858)))))),red(U_3855))),
    inference(clausify,[status(thm)],[f_697_2]) ).

fof(f_698_1,plain,
    ! [Hb] : hBOOL(hext(Hb,Hb)),
    inference(fof_nnf,[status(thm)],[fact_556_hext__refl]) ).

fof(f_698_2,plain,
    ! [U_3860] : hBOOL(hext(U_3860,U_3860)),
    inference(variable_rename,[status(thm)],[f_698_1]) ).

cnf(f_698_3,plain,
    hBOOL(hext(U_3860,U_3860)),
    inference(clausify,[status(thm)],[f_698_2]) ).

fof(f_699_1,plain,
    ! [F_1,G] :
      ( hAPP_f46308763ion_ty(produc907433735ion_ty,F_1) = G
      | ? [X_1,Y_1] : hAPP_f652398900ion_ty(hAPP_l2000496933ion_ty(F_1,X_1),Y_1) != hAPP_P1228500987ion_ty(G,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,X_1),Y_1)) ),
    inference(fof_nnf,[status(thm)],[fact_557_cond__split__eta]) ).

fof(f_699_2,plain,
    ! [U_3864,U_3863] :
      ( hAPP_f46308763ion_ty(produc907433735ion_ty,U_3864) = U_3863
      | ? [U_3862,U_3861] : hAPP_f652398900ion_ty(hAPP_l2000496933ion_ty(U_3864,U_3862),U_3861) != hAPP_P1228500987ion_ty(U_3863,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_3862),U_3861)) ),
    inference(variable_rename,[status(thm)],[f_699_1]) ).

fof(f_699_3,plain,
    ! [U_3864,U_3863] :
      ( hAPP_f46308763ion_ty(produc907433735ion_ty,U_3864) = U_3863
      | ? [U_3861] : hAPP_f652398900ion_ty(hAPP_l2000496933ion_ty(U_3864,sK712(U_3864,U_3863)),U_3861) != hAPP_P1228500987ion_ty(U_3863,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,sK712(U_3864,U_3863)),U_3861)) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK712]),skolemize(U_3862,sK712(U_3864,U_3863))],[f_699_2]) ).

fof(f_699_4,plain,
    ! [U_3864,U_3863] :
      ( hAPP_f46308763ion_ty(produc907433735ion_ty,U_3864) = U_3863
      | hAPP_f652398900ion_ty(hAPP_l2000496933ion_ty(U_3864,sK712(U_3864,U_3863)),sK713(U_3864,U_3863)) != hAPP_P1228500987ion_ty(U_3863,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,sK712(U_3864,U_3863)),sK713(U_3864,U_3863))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK713]),skolemize(U_3861,sK713(U_3864,U_3863))],[f_699_3]) ).

cnf(f_699_5,plain,
    ( hAPP_f46308763ion_ty(produc907433735ion_ty,U_3864) = U_3863
    | hAPP_f652398900ion_ty(hAPP_l2000496933ion_ty(U_3864,sK712(U_3864,U_3863)),sK713(U_3864,U_3863)) != hAPP_P1228500987ion_ty(U_3863,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,sK712(U_3864,U_3863)),sK713(U_3864,U_3863))) ),
    inference(clausify,[status(thm)],[f_699_4]) ).

fof(f_700_1,plain,
    ! [G,F_1] :
      ( hAPP_f2121594859l_bool(produc1958875245l_bool,F_1) = G
      | ? [X_1,Y_1] :
          ( ( ~ hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(F_1,X_1),Y_1))
            & hBOOL(hAPP_P159683425l_bool(G,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,X_1),Y_1))) )
          | ( ~ hBOOL(hAPP_P159683425l_bool(G,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,X_1),Y_1)))
            & hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(F_1,X_1),Y_1)) ) ) ),
    inference(fof_nnf,[status(thm)],[fact_558_cond__split__eta]) ).

fof(f_700_2,plain,
    ! [U_3868,U_3867] :
      ( hAPP_f2121594859l_bool(produc1958875245l_bool,U_3867) = U_3868
      | ? [U_3866,U_3865] :
          ( ( ~ hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(U_3867,U_3866),U_3865))
            & hBOOL(hAPP_P159683425l_bool(U_3868,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_3866),U_3865))) )
          | ( ~ hBOOL(hAPP_P159683425l_bool(U_3868,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_3866),U_3865)))
            & hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(U_3867,U_3866),U_3865)) ) ) ),
    inference(variable_rename,[status(thm)],[f_700_1]) ).

fof(f_700_3,plain,
    ! [U_3868,U_3867] :
      ( hAPP_f2121594859l_bool(produc1958875245l_bool,U_3867) = U_3868
      | ? [U_3872,U_3870] :
          ( ~ hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(U_3867,U_3872),U_3870))
          & hBOOL(hAPP_P159683425l_bool(U_3868,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_3872),U_3870))) )
      | ? [U_3871,U_3869] :
          ( ~ hBOOL(hAPP_P159683425l_bool(U_3868,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_3871),U_3869)))
          & hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(U_3867,U_3871),U_3869)) ) ),
    inference(miniscope,[status(thm)],[f_700_2]) ).

fof(f_700_4,plain,
    ! [U_3868,U_3867] :
      ( hAPP_f2121594859l_bool(produc1958875245l_bool,U_3867) = U_3868
      | ? [U_3872,U_3870] :
          ( ~ hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(U_3867,U_3872),U_3870))
          & hBOOL(hAPP_P159683425l_bool(U_3868,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_3872),U_3870))) )
      | ? [U_3869] :
          ( ~ hBOOL(hAPP_P159683425l_bool(U_3868,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK714(U_3868,U_3867)),U_3869)))
          & hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(U_3867,sK714(U_3868,U_3867)),U_3869)) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK714]),skolemize(U_3871,sK714(U_3868,U_3867))],[f_700_3]) ).

fof(f_700_5,plain,
    ! [U_3868,U_3867] :
      ( hAPP_f2121594859l_bool(produc1958875245l_bool,U_3867) = U_3868
      | ? [U_3872,U_3870] :
          ( ~ hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(U_3867,U_3872),U_3870))
          & hBOOL(hAPP_P159683425l_bool(U_3868,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_3872),U_3870))) )
      | ( ~ hBOOL(hAPP_P159683425l_bool(U_3868,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK714(U_3868,U_3867)),sK715(U_3868,U_3867))))
        & hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(U_3867,sK714(U_3868,U_3867)),sK715(U_3868,U_3867))) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK715]),skolemize(U_3869,sK715(U_3868,U_3867))],[f_700_4]) ).

fof(f_700_6,plain,
    ! [U_3868,U_3867] :
      ( hAPP_f2121594859l_bool(produc1958875245l_bool,U_3867) = U_3868
      | ? [U_3870] :
          ( ~ hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(U_3867,sK716(U_3868,U_3867)),U_3870))
          & hBOOL(hAPP_P159683425l_bool(U_3868,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK716(U_3868,U_3867)),U_3870))) )
      | ( ~ hBOOL(hAPP_P159683425l_bool(U_3868,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK714(U_3868,U_3867)),sK715(U_3868,U_3867))))
        & hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(U_3867,sK714(U_3868,U_3867)),sK715(U_3868,U_3867))) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK716]),skolemize(U_3872,sK716(U_3868,U_3867))],[f_700_5]) ).

fof(f_700_7,plain,
    ! [U_3868,U_3867] :
      ( hAPP_f2121594859l_bool(produc1958875245l_bool,U_3867) = U_3868
      | ( ~ hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(U_3867,sK716(U_3868,U_3867)),sK717(U_3868,U_3867)))
        & hBOOL(hAPP_P159683425l_bool(U_3868,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK716(U_3868,U_3867)),sK717(U_3868,U_3867)))) )
      | ( ~ hBOOL(hAPP_P159683425l_bool(U_3868,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK714(U_3868,U_3867)),sK715(U_3868,U_3867))))
        & hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(U_3867,sK714(U_3868,U_3867)),sK715(U_3868,U_3867))) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK717]),skolemize(U_3870,sK717(U_3868,U_3867))],[f_700_6]) ).

cnf(f_700_8,plain,
    ( hBOOL(hAPP_P159683425l_bool(U_3868,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK716(U_3868,U_3867)),sK717(U_3868,U_3867))))
    | hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(U_3867,sK714(U_3868,U_3867)),sK715(U_3868,U_3867)))
    | hAPP_f2121594859l_bool(produc1958875245l_bool,U_3867) = U_3868 ),
    inference(clausify,[status(thm)],[f_700_7]) ).

cnf(f_700_9,plain,
    ( ~ hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(U_3867,sK716(U_3868,U_3867)),sK717(U_3868,U_3867)))
    | hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(U_3867,sK714(U_3868,U_3867)),sK715(U_3868,U_3867)))
    | hAPP_f2121594859l_bool(produc1958875245l_bool,U_3867) = U_3868 ),
    inference(clausify,[status(thm)],[f_700_7]) ).

cnf(f_700_10,plain,
    ( hBOOL(hAPP_P159683425l_bool(U_3868,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK716(U_3868,U_3867)),sK717(U_3868,U_3867))))
    | ~ hBOOL(hAPP_P159683425l_bool(U_3868,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK714(U_3868,U_3867)),sK715(U_3868,U_3867))))
    | hAPP_f2121594859l_bool(produc1958875245l_bool,U_3867) = U_3868 ),
    inference(clausify,[status(thm)],[f_700_7]) ).

cnf(f_700_11,plain,
    ( ~ hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(U_3867,sK716(U_3868,U_3867)),sK717(U_3868,U_3867)))
    | ~ hBOOL(hAPP_P159683425l_bool(U_3868,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK714(U_3868,U_3867)),sK715(U_3868,U_3867))))
    | hAPP_f2121594859l_bool(produc1958875245l_bool,U_3867) = U_3868 ),
    inference(clausify,[status(thm)],[f_700_7]) ).

fof(f_701_1,plain,
    ! [A,M_1] :
      ( ? [B_2] : hAPP_n546249108on_val(M_1,A) = hAPP_P1510515380on_val(some_P948696889on_val,B_2)
      | ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A),dom_na996029170on_val(M_1))) ),
    inference(fof_nnf,[status(thm)],[fact_559_domD]) ).

fof(f_701_2,plain,
    ! [U_3875,U_3874] :
      ( ? [U_3873] : hAPP_n546249108on_val(U_3874,U_3875) = hAPP_P1510515380on_val(some_P948696889on_val,U_3873)
      | ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,U_3875),dom_na996029170on_val(U_3874))) ),
    inference(variable_rename,[status(thm)],[f_701_1]) ).

fof(f_701_3,plain,
    ! [U_3875,U_3874] :
      ( hAPP_n546249108on_val(U_3874,U_3875) = hAPP_P1510515380on_val(some_P948696889on_val,sK718(U_3875,U_3874))
      | ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,U_3875),dom_na996029170on_val(U_3874))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK718]),skolemize(U_3873,sK718(U_3875,U_3874))],[f_701_2]) ).

cnf(f_701_4,plain,
    ( hAPP_n546249108on_val(U_3874,U_3875) = hAPP_P1510515380on_val(some_P948696889on_val,sK718(U_3875,U_3874))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,U_3875),dom_na996029170on_val(U_3874))) ),
    inference(clausify,[status(thm)],[f_701_3]) ).

fof(f_702_1,plain,
    ! [A,M_1] :
      ( ? [B_2] : hAPP_l207779698on_val(M_1,A) = hAPP_val_option_val(some_val,B_2)
      | ~ hBOOL(hAPP_f986089162l_bool(hAPP_l1903254203l_bool(member_list_char,A),dom_list_char_val(M_1))) ),
    inference(fof_nnf,[status(thm)],[fact_560_domD]) ).

fof(f_702_2,plain,
    ! [U_3878,U_3877] :
      ( ? [U_3876] : hAPP_l207779698on_val(U_3877,U_3878) = hAPP_val_option_val(some_val,U_3876)
      | ~ hBOOL(hAPP_f986089162l_bool(hAPP_l1903254203l_bool(member_list_char,U_3878),dom_list_char_val(U_3877))) ),
    inference(variable_rename,[status(thm)],[f_702_1]) ).

fof(f_702_3,plain,
    ! [U_3878,U_3877] :
      ( hAPP_l207779698on_val(U_3877,U_3878) = hAPP_val_option_val(some_val,sK719(U_3878,U_3877))
      | ~ hBOOL(hAPP_f986089162l_bool(hAPP_l1903254203l_bool(member_list_char,U_3878),dom_list_char_val(U_3877))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK719]),skolemize(U_3876,sK719(U_3878,U_3877))],[f_702_2]) ).

cnf(f_702_4,plain,
    ( hAPP_l207779698on_val(U_3877,U_3878) = hAPP_val_option_val(some_val,sK719(U_3878,U_3877))
    | ~ hBOOL(hAPP_f986089162l_bool(hAPP_l1903254203l_bool(member_list_char,U_3878),dom_list_char_val(U_3877))) ),
    inference(clausify,[status(thm)],[f_702_3]) ).

fof(f_703_1,plain,
    ! [Q_1,Pa,Z_1] :
      ( ? [X_1,Y_1] :
          ( hBOOL(hAPP_option_ty_bool(Q_1,hAPP_f652398900ion_ty(hAPP_l2000496933ion_ty(Pa,X_1),Y_1)))
          & Z_1 = hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,X_1),Y_1) )
      | ~ hBOOL(hAPP_option_ty_bool(Q_1,hAPP_P1228500987ion_ty(hAPP_f46308763ion_ty(produc907433735ion_ty,Pa),Z_1))) ),
    inference(fof_nnf,[status(thm)],[fact_561_splitE2]) ).

fof(f_703_2,plain,
    ! [U_3883,U_3882,U_3881] :
      ( ? [U_3880,U_3879] :
          ( hBOOL(hAPP_option_ty_bool(U_3883,hAPP_f652398900ion_ty(hAPP_l2000496933ion_ty(U_3882,U_3880),U_3879)))
          & U_3881 = hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_3880),U_3879) )
      | ~ hBOOL(hAPP_option_ty_bool(U_3883,hAPP_P1228500987ion_ty(hAPP_f46308763ion_ty(produc907433735ion_ty,U_3882),U_3881))) ),
    inference(variable_rename,[status(thm)],[f_703_1]) ).

fof(f_703_3,plain,
    ! [U_3883,U_3882,U_3881] :
      ( ? [U_3879] :
          ( hBOOL(hAPP_option_ty_bool(U_3883,hAPP_f652398900ion_ty(hAPP_l2000496933ion_ty(U_3882,sK720(U_3883,U_3882,U_3881)),U_3879)))
          & U_3881 = hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,sK720(U_3883,U_3882,U_3881)),U_3879) )
      | ~ hBOOL(hAPP_option_ty_bool(U_3883,hAPP_P1228500987ion_ty(hAPP_f46308763ion_ty(produc907433735ion_ty,U_3882),U_3881))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK720]),skolemize(U_3880,sK720(U_3883,U_3882,U_3881))],[f_703_2]) ).

fof(f_703_4,plain,
    ! [U_3883,U_3882,U_3881] :
      ( ( hBOOL(hAPP_option_ty_bool(U_3883,hAPP_f652398900ion_ty(hAPP_l2000496933ion_ty(U_3882,sK720(U_3883,U_3882,U_3881)),sK721(U_3883,U_3882,U_3881))))
        & U_3881 = hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,sK720(U_3883,U_3882,U_3881)),sK721(U_3883,U_3882,U_3881)) )
      | ~ hBOOL(hAPP_option_ty_bool(U_3883,hAPP_P1228500987ion_ty(hAPP_f46308763ion_ty(produc907433735ion_ty,U_3882),U_3881))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK721]),skolemize(U_3879,sK721(U_3883,U_3882,U_3881))],[f_703_3]) ).

cnf(f_703_5,plain,
    ( U_3881 = hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,sK720(U_3883,U_3882,U_3881)),sK721(U_3883,U_3882,U_3881))
    | ~ hBOOL(hAPP_option_ty_bool(U_3883,hAPP_P1228500987ion_ty(hAPP_f46308763ion_ty(produc907433735ion_ty,U_3882),U_3881))) ),
    inference(clausify,[status(thm)],[f_703_4]) ).

cnf(f_703_6,plain,
    ( hBOOL(hAPP_option_ty_bool(U_3883,hAPP_f652398900ion_ty(hAPP_l2000496933ion_ty(U_3882,sK720(U_3883,U_3882,U_3881)),sK721(U_3883,U_3882,U_3881))))
    | ~ hBOOL(hAPP_option_ty_bool(U_3883,hAPP_P1228500987ion_ty(hAPP_f46308763ion_ty(produc907433735ion_ty,U_3882),U_3881))) ),
    inference(clausify,[status(thm)],[f_703_4]) ).

fof(f_704_1,plain,
    ! [Q_1,Pa,Z_1] :
      ( ? [X_1,Y_1] :
          ( hBOOL(hAPP_bool_bool(Q_1,hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(Pa,X_1),Y_1)))
          & Z_1 = hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,X_1),Y_1) )
      | ~ hBOOL(hAPP_bool_bool(Q_1,hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,Pa),Z_1))) ),
    inference(fof_nnf,[status(thm)],[fact_562_splitE2]) ).

fof(f_704_2,plain,
    ! [U_3888,U_3887,U_3886] :
      ( ? [U_3885,U_3884] :
          ( hBOOL(hAPP_bool_bool(U_3888,hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(U_3887,U_3885),U_3884)))
          & U_3886 = hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_3885),U_3884) )
      | ~ hBOOL(hAPP_bool_bool(U_3888,hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,U_3887),U_3886))) ),
    inference(variable_rename,[status(thm)],[f_704_1]) ).

fof(f_704_3,plain,
    ! [U_3888,U_3887,U_3886] :
      ( ? [U_3884] :
          ( hBOOL(hAPP_bool_bool(U_3888,hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(U_3887,sK722(U_3888,U_3887,U_3886)),U_3884)))
          & U_3886 = hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK722(U_3888,U_3887,U_3886)),U_3884) )
      | ~ hBOOL(hAPP_bool_bool(U_3888,hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,U_3887),U_3886))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK722]),skolemize(U_3885,sK722(U_3888,U_3887,U_3886))],[f_704_2]) ).

fof(f_704_4,plain,
    ! [U_3888,U_3887,U_3886] :
      ( ( hBOOL(hAPP_bool_bool(U_3888,hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(U_3887,sK722(U_3888,U_3887,U_3886)),sK723(U_3888,U_3887,U_3886))))
        & U_3886 = hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK722(U_3888,U_3887,U_3886)),sK723(U_3888,U_3887,U_3886)) )
      | ~ hBOOL(hAPP_bool_bool(U_3888,hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,U_3887),U_3886))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK723]),skolemize(U_3884,sK723(U_3888,U_3887,U_3886))],[f_704_3]) ).

cnf(f_704_5,plain,
    ( U_3886 = hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK722(U_3888,U_3887,U_3886)),sK723(U_3888,U_3887,U_3886))
    | ~ hBOOL(hAPP_bool_bool(U_3888,hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,U_3887),U_3886))) ),
    inference(clausify,[status(thm)],[f_704_4]) ).

cnf(f_704_6,plain,
    ( hBOOL(hAPP_bool_bool(U_3888,hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(U_3887,sK722(U_3888,U_3887,U_3886)),sK723(U_3888,U_3887,U_3886))))
    | ~ hBOOL(hAPP_bool_bool(U_3888,hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,U_3887),U_3886))) ),
    inference(clausify,[status(thm)],[f_704_4]) ).

fof(f_705_1,plain,
    ! [H_b,Pa,Hb,Ea,Eb,Ta] :
      ( hBOOL(wTrt_1(Pa,H_b,Ea,Eb,Ta))
      | ~ hBOOL(hext(Hb,H_b))
      | ~ hBOOL(wTrt_1(Pa,Hb,Ea,Eb,Ta)) ),
    inference(fof_nnf,[status(thm)],[fact_563_WTrt__hext__mono]) ).

fof(f_705_2,plain,
    ! [U_3894,U_3893,U_3892,U_3891,U_3890,U_3889] :
      ( hBOOL(wTrt_1(U_3893,U_3894,U_3891,U_3890,U_3889))
      | ~ hBOOL(hext(U_3892,U_3894))
      | ~ hBOOL(wTrt_1(U_3893,U_3892,U_3891,U_3890,U_3889)) ),
    inference(variable_rename,[status(thm)],[f_705_1]) ).

cnf(f_705_3,plain,
    ( hBOOL(wTrt_1(U_3893,U_3894,U_3891,U_3890,U_3889))
    | ~ hBOOL(hext(U_3892,U_3894))
    | ~ hBOOL(wTrt_1(U_3893,U_3892,U_3891,U_3890,U_3889)) ),
    inference(clausify,[status(thm)],[f_705_2]) ).

fof(f_706_1,plain,
    ! [Fs_2,Hb,A,C,Fs] :
      ( hBOOL(hext(Hb,fun_up2041264236on_val(Hb,A,hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),Fs_2)))))
      | hAPP_n546249108on_val(Hb,A) != hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),Fs)) ),
    inference(fof_nnf,[status(thm)],[fact_564_hext__upd__obj]) ).

fof(f_706_2,plain,
    ! [U_3899,U_3898,U_3897,U_3896,U_3895] :
      ( hBOOL(hext(U_3898,fun_up2041264236on_val(U_3898,U_3897,hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_3896),U_3899)))))
      | hAPP_n546249108on_val(U_3898,U_3897) != hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_3896),U_3895)) ),
    inference(variable_rename,[status(thm)],[f_706_1]) ).

fof(f_706_3,plain,
    ! [U_3899,U_3898,U_3897,U_3896] :
      ( ! [U_3895] : hAPP_n546249108on_val(U_3898,U_3897) != hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_3896),U_3895))
      | hBOOL(hext(U_3898,fun_up2041264236on_val(U_3898,U_3897,hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_3896),U_3899))))) ),
    inference(miniscope,[status(thm)],[f_706_2]) ).

cnf(f_706_4,plain,
    ( hAPP_n546249108on_val(U_3898,U_3897) != hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_3896),U_3895))
    | hBOOL(hext(U_3898,fun_up2041264236on_val(U_3898,U_3897,hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_3896),U_3899))))) ),
    inference(clausify,[status(thm)],[f_706_3]) ).

fof(f_707_1,plain,
    ! [H_4,Hb,H_b] :
      ( hBOOL(hext(Hb,H_4))
      | ~ hBOOL(hext(H_b,H_4))
      | ~ hBOOL(hext(Hb,H_b)) ),
    inference(fof_nnf,[status(thm)],[fact_565_hext__trans]) ).

fof(f_707_2,plain,
    ! [U_3902,U_3901,U_3900] :
      ( hBOOL(hext(U_3901,U_3902))
      | ~ hBOOL(hext(U_3900,U_3902))
      | ~ hBOOL(hext(U_3901,U_3900)) ),
    inference(variable_rename,[status(thm)],[f_707_1]) ).

cnf(f_707_3,plain,
    ( hBOOL(hext(U_3901,U_3902))
    | ~ hBOOL(hext(U_3900,U_3902))
    | ~ hBOOL(hext(U_3901,U_3900)) ),
    inference(clausify,[status(thm)],[f_707_2]) ).

fof(f_708_1,plain,
    ! [A,C,Fs,Hb,H_b] :
      ( ? [Fs_3] : hAPP_n546249108on_val(H_b,A) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),Fs_3))
      | hAPP_n546249108on_val(Hb,A) != hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),Fs))
      | ~ hBOOL(hext(Hb,H_b)) ),
    inference(fof_nnf,[status(thm)],[fact_566_hext__objD]) ).

fof(f_708_2,plain,
    ! [U_3908,U_3907,U_3906,U_3905,U_3904] :
      ( ? [U_3903] : hAPP_n546249108on_val(U_3904,U_3908) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_3907),U_3903))
      | hAPP_n546249108on_val(U_3905,U_3908) != hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_3907),U_3906))
      | ~ hBOOL(hext(U_3905,U_3904)) ),
    inference(variable_rename,[status(thm)],[f_708_1]) ).

fof(f_708_3,plain,
    ! [U_3908,U_3907,U_3906,U_3905,U_3904] :
      ( hAPP_n546249108on_val(U_3904,U_3908) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_3907),sK724(U_3908,U_3907,U_3906,U_3905,U_3904)))
      | hAPP_n546249108on_val(U_3905,U_3908) != hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_3907),U_3906))
      | ~ hBOOL(hext(U_3905,U_3904)) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK724]),skolemize(U_3903,sK724(U_3908,U_3907,U_3906,U_3905,U_3904))],[f_708_2]) ).

cnf(f_708_4,plain,
    ( hAPP_n546249108on_val(U_3904,U_3908) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_3907),sK724(U_3908,U_3907,U_3906,U_3905,U_3904)))
    | hAPP_n546249108on_val(U_3905,U_3908) != hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_3907),U_3906))
    | ~ hBOOL(hext(U_3905,U_3904)) ),
    inference(clausify,[status(thm)],[f_708_3]) ).

fof(f_709_1,plain,
    ! [Hb,H_b] :
      ( ( hBOOL(hext(Hb,H_b))
        | ? [A_1,C_1,Fs_1] :
            ( ! [Fs_3] : hAPP_n546249108on_val(H_b,A_1) != hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C_1),Fs_3))
            & hAPP_n546249108on_val(Hb,A_1) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C_1),Fs_1)) ) )
      & ( ! [A_1,C_1,Fs_1] :
            ( ? [Fs_3] : hAPP_n546249108on_val(H_b,A_1) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C_1),Fs_3))
            | hAPP_n546249108on_val(Hb,A_1) != hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C_1),Fs_1)) )
        | ~ hBOOL(hext(Hb,H_b)) ) ),
    inference(fof_nnf,[status(thm)],[fact_567_hext__def]) ).

fof(f_709_2,plain,
    ! [U_3918,U_3917] :
      ( ( hBOOL(hext(U_3918,U_3917))
        | ? [U_3916,U_3915,U_3914] :
            ( ! [U_3913] : hAPP_n546249108on_val(U_3917,U_3916) != hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_3915),U_3913))
            & hAPP_n546249108on_val(U_3918,U_3916) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_3915),U_3914)) ) )
      & ( ! [U_3912,U_3911,U_3910] :
            ( ? [U_3909] : hAPP_n546249108on_val(U_3917,U_3912) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_3911),U_3909))
            | hAPP_n546249108on_val(U_3918,U_3912) != hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_3911),U_3910)) )
        | ~ hBOOL(hext(U_3918,U_3917)) ) ),
    inference(variable_rename,[status(thm)],[f_709_1]) ).

fof(f_709_3,plain,
    ( ! [U_3922,U_3920] :
        ( hBOOL(hext(U_3922,U_3920))
        | ? [U_3916,U_3915] :
            ( ? [U_3914] : hAPP_n546249108on_val(U_3922,U_3916) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_3915),U_3914))
            & ! [U_3913] : hAPP_n546249108on_val(U_3920,U_3916) != hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_3915),U_3913)) ) )
    & ! [U_3921,U_3919] :
        ( ! [U_3912,U_3911] :
            ( ! [U_3910] : hAPP_n546249108on_val(U_3921,U_3912) != hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_3911),U_3910))
            | ? [U_3909] : hAPP_n546249108on_val(U_3919,U_3912) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_3911),U_3909)) )
        | ~ hBOOL(hext(U_3921,U_3919)) ) ),
    inference(miniscope,[status(thm)],[f_709_2]) ).

fof(f_709_4,plain,
    ( ! [U_3922,U_3920] :
        ( hBOOL(hext(U_3922,U_3920))
        | ? [U_3916,U_3915] :
            ( ? [U_3914] : hAPP_n546249108on_val(U_3922,U_3916) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_3915),U_3914))
            & ! [U_3913] : hAPP_n546249108on_val(U_3920,U_3916) != hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_3915),U_3913)) ) )
    & ! [U_3921,U_3919] :
        ( ! [U_3912,U_3911] :
            ( ! [U_3910] : hAPP_n546249108on_val(U_3921,U_3912) != hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_3911),U_3910))
            | hAPP_n546249108on_val(U_3919,U_3912) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_3911),sK725(U_3921,U_3919,U_3912,U_3911))) )
        | ~ hBOOL(hext(U_3921,U_3919)) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK725]),skolemize(U_3909,sK725(U_3921,U_3919,U_3912,U_3911))],[f_709_3]) ).

fof(f_709_5,plain,
    ( ! [U_3922,U_3920] :
        ( hBOOL(hext(U_3922,U_3920))
        | ? [U_3915] :
            ( ? [U_3914] : hAPP_n546249108on_val(U_3922,sK726(U_3922,U_3920)) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_3915),U_3914))
            & ! [U_3913] : hAPP_n546249108on_val(U_3920,sK726(U_3922,U_3920)) != hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_3915),U_3913)) ) )
    & ! [U_3921,U_3919] :
        ( ! [U_3912,U_3911] :
            ( ! [U_3910] : hAPP_n546249108on_val(U_3921,U_3912) != hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_3911),U_3910))
            | hAPP_n546249108on_val(U_3919,U_3912) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_3911),sK725(U_3921,U_3919,U_3912,U_3911))) )
        | ~ hBOOL(hext(U_3921,U_3919)) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK726]),skolemize(U_3916,sK726(U_3922,U_3920))],[f_709_4]) ).

fof(f_709_6,plain,
    ( ! [U_3922,U_3920] :
        ( hBOOL(hext(U_3922,U_3920))
        | ( ? [U_3914] : hAPP_n546249108on_val(U_3922,sK726(U_3922,U_3920)) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,sK727(U_3922,U_3920)),U_3914))
          & ! [U_3913] : hAPP_n546249108on_val(U_3920,sK726(U_3922,U_3920)) != hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,sK727(U_3922,U_3920)),U_3913)) ) )
    & ! [U_3921,U_3919] :
        ( ! [U_3912,U_3911] :
            ( ! [U_3910] : hAPP_n546249108on_val(U_3921,U_3912) != hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_3911),U_3910))
            | hAPP_n546249108on_val(U_3919,U_3912) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_3911),sK725(U_3921,U_3919,U_3912,U_3911))) )
        | ~ hBOOL(hext(U_3921,U_3919)) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK727]),skolemize(U_3915,sK727(U_3922,U_3920))],[f_709_5]) ).

fof(f_709_7,plain,
    ( ! [U_3922,U_3920] :
        ( hBOOL(hext(U_3922,U_3920))
        | ( hAPP_n546249108on_val(U_3922,sK726(U_3922,U_3920)) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,sK727(U_3922,U_3920)),sK728(U_3922,U_3920)))
          & ! [U_3913] : hAPP_n546249108on_val(U_3920,sK726(U_3922,U_3920)) != hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,sK727(U_3922,U_3920)),U_3913)) ) )
    & ! [U_3921,U_3919] :
        ( ! [U_3912,U_3911] :
            ( ! [U_3910] : hAPP_n546249108on_val(U_3921,U_3912) != hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_3911),U_3910))
            | hAPP_n546249108on_val(U_3919,U_3912) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_3911),sK725(U_3921,U_3919,U_3912,U_3911))) )
        | ~ hBOOL(hext(U_3921,U_3919)) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK728]),skolemize(U_3914,sK728(U_3922,U_3920))],[f_709_6]) ).

cnf(f_709_8,plain,
    ( hAPP_n546249108on_val(U_3921,U_3912) != hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_3911),U_3910))
    | hAPP_n546249108on_val(U_3919,U_3912) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_3911),sK725(U_3921,U_3919,U_3912,U_3911)))
    | ~ hBOOL(hext(U_3921,U_3919)) ),
    inference(clausify,[status(thm)],[f_709_7]) ).

cnf(f_709_9,plain,
    ( hAPP_n546249108on_val(U_3920,sK726(U_3922,U_3920)) != hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,sK727(U_3922,U_3920)),U_3913))
    | hBOOL(hext(U_3922,U_3920)) ),
    inference(clausify,[status(thm)],[f_709_7]) ).

cnf(f_709_10,plain,
    ( hAPP_n546249108on_val(U_3922,sK726(U_3922,U_3920)) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,sK727(U_3922,U_3920)),sK728(U_3922,U_3920)))
    | hBOOL(hext(U_3922,U_3920)) ),
    inference(clausify,[status(thm)],[f_709_7]) ).

fof(f_710_1,plain,
    ! [Va_1,Eb,A_2] :
      ( ( hBOOL(d_list_char(lAss_list_char(Va_1,Eb),A_2))
        | ~ hBOOL(d_list_char(Eb,A_2)) )
      & ( hBOOL(d_list_char(Eb,A_2))
        | ~ hBOOL(d_list_char(lAss_list_char(Va_1,Eb),A_2)) ) ),
    inference(fof_nnf,[status(thm)],[fact_568__092_060D_062___092_060D_062s_Osimps_I6_J]) ).

fof(f_710_2,plain,
    ! [U_3925,U_3924,U_3923] :
      ( ( hBOOL(d_list_char(lAss_list_char(U_3925,U_3924),U_3923))
        | ~ hBOOL(d_list_char(U_3924,U_3923)) )
      & ( hBOOL(d_list_char(U_3924,U_3923))
        | ~ hBOOL(d_list_char(lAss_list_char(U_3925,U_3924),U_3923)) ) ),
    inference(variable_rename,[status(thm)],[f_710_1]) ).

fof(f_710_3,plain,
    ( ! [U_3931,U_3929,U_3927] :
        ( hBOOL(d_list_char(lAss_list_char(U_3931,U_3929),U_3927))
        | ~ hBOOL(d_list_char(U_3929,U_3927)) )
    & ! [U_3930,U_3928,U_3926] :
        ( hBOOL(d_list_char(U_3928,U_3926))
        | ~ hBOOL(d_list_char(lAss_list_char(U_3930,U_3928),U_3926)) ) ),
    inference(miniscope,[status(thm)],[f_710_2]) ).

cnf(f_710_4,plain,
    ( hBOOL(d_list_char(U_3928,U_3926))
    | ~ hBOOL(d_list_char(lAss_list_char(U_3930,U_3928),U_3926)) ),
    inference(clausify,[status(thm)],[f_710_3]) ).

cnf(f_710_5,plain,
    ( hBOOL(d_list_char(lAss_list_char(U_3931,U_3929),U_3927))
    | ~ hBOOL(d_list_char(U_3929,U_3927)) ),
    inference(clausify,[status(thm)],[f_710_3]) ).

fof(f_711_1,plain,
    ! [A_17,Ty_7,Exp_13,A_16,Exp_12] : block_list_char(A_17,Ty_7,Exp_13) != lAss_list_char(A_16,Exp_12),
    inference(fof_nnf,[status(thm)],[fact_569_exp_Osimps_I143_J]) ).

fof(f_711_2,plain,
    ! [U_3936,U_3935,U_3934,U_3933,U_3932] : block_list_char(U_3936,U_3935,U_3934) != lAss_list_char(U_3933,U_3932),
    inference(variable_rename,[status(thm)],[f_711_1]) ).

cnf(f_711_3,plain,
    block_list_char(U_3936,U_3935,U_3934) != lAss_list_char(U_3933,U_3932),
    inference(clausify,[status(thm)],[f_711_2]) ).

fof(f_712_1,plain,
    ! [A_15,Ty_6,Exp_11,Exp1_7,Exp2_7] : block_list_char(A_15,Ty_6,Exp_11) != seq_list_char(Exp1_7,Exp2_7),
    inference(fof_nnf,[status(thm)],[fact_570_exp_Osimps_I196_J]) ).

fof(f_712_2,plain,
    ! [U_3941,U_3940,U_3939,U_3938,U_3937] : block_list_char(U_3941,U_3940,U_3939) != seq_list_char(U_3938,U_3937),
    inference(variable_rename,[status(thm)],[f_712_1]) ).

cnf(f_712_3,plain,
    block_list_char(U_3941,U_3940,U_3939) != seq_list_char(U_3938,U_3937),
    inference(clausify,[status(thm)],[f_712_2]) ).

fof(f_713_1,plain,
    ! [A_14,Exp_10,A_13,Ty_5,Exp_9] : lAss_list_char(A_14,Exp_10) != block_list_char(A_13,Ty_5,Exp_9),
    inference(fof_nnf,[status(thm)],[fact_571_exp_Osimps_I142_J]) ).

fof(f_713_2,plain,
    ! [U_3946,U_3945,U_3944,U_3943,U_3942] : lAss_list_char(U_3946,U_3945) != block_list_char(U_3944,U_3943,U_3942),
    inference(variable_rename,[status(thm)],[f_713_1]) ).

cnf(f_713_3,plain,
    lAss_list_char(U_3946,U_3945) != block_list_char(U_3944,U_3943,U_3942),
    inference(clausify,[status(thm)],[f_713_2]) ).

fof(f_714_1,plain,
    ! [Val_7,Val_6] :
      ( ( hAPP_v834067052t_char(val_list_char,Val_7) = hAPP_v834067052t_char(val_list_char,Val_6)
        | Val_7 != Val_6 )
      & ( Val_7 = Val_6
        | hAPP_v834067052t_char(val_list_char,Val_7) != hAPP_v834067052t_char(val_list_char,Val_6) ) ),
    inference(fof_nnf,[status(thm)],[fact_572_exp_Osimps_I3_J]) ).

fof(f_714_2,plain,
    ! [U_3948,U_3947] :
      ( ( hAPP_v834067052t_char(val_list_char,U_3948) = hAPP_v834067052t_char(val_list_char,U_3947)
        | U_3948 != U_3947 )
      & ( U_3948 = U_3947
        | hAPP_v834067052t_char(val_list_char,U_3948) != hAPP_v834067052t_char(val_list_char,U_3947) ) ),
    inference(variable_rename,[status(thm)],[f_714_1]) ).

fof(f_714_3,plain,
    ( ! [U_3952,U_3950] :
        ( hAPP_v834067052t_char(val_list_char,U_3952) = hAPP_v834067052t_char(val_list_char,U_3950)
        | U_3952 != U_3950 )
    & ! [U_3951,U_3949] :
        ( U_3951 = U_3949
        | hAPP_v834067052t_char(val_list_char,U_3951) != hAPP_v834067052t_char(val_list_char,U_3949) ) ),
    inference(miniscope,[status(thm)],[f_714_2]) ).

cnf(f_714_4,plain,
    ( U_3951 = U_3949
    | hAPP_v834067052t_char(val_list_char,U_3951) != hAPP_v834067052t_char(val_list_char,U_3949) ),
    inference(clausify,[status(thm)],[f_714_3]) ).

cnf(f_714_5,plain,
    ( hAPP_v834067052t_char(val_list_char,U_3952) = hAPP_v834067052t_char(val_list_char,U_3950)
    | U_3952 != U_3950 ),
    inference(clausify,[status(thm)],[f_714_3]) ).

fof(f_715_1,plain,
    ! [Exp1_6,Exp2_6,Exp1_5,Exp2_5] :
      ( ( seq_list_char(Exp1_6,Exp2_6) = seq_list_char(Exp1_5,Exp2_5)
        | Exp2_6 != Exp2_5
        | Exp1_6 != Exp1_5 )
      & ( ( Exp2_6 = Exp2_5
          & Exp1_6 = Exp1_5 )
        | seq_list_char(Exp1_6,Exp2_6) != seq_list_char(Exp1_5,Exp2_5) ) ),
    inference(fof_nnf,[status(thm)],[fact_573_exp_Osimps_I11_J]) ).

fof(f_715_2,plain,
    ! [U_3956,U_3955,U_3954,U_3953] :
      ( ( seq_list_char(U_3956,U_3955) = seq_list_char(U_3954,U_3953)
        | U_3955 != U_3953
        | U_3956 != U_3954 )
      & ( ( U_3955 = U_3953
          & U_3956 = U_3954 )
        | seq_list_char(U_3956,U_3955) != seq_list_char(U_3954,U_3953) ) ),
    inference(variable_rename,[status(thm)],[f_715_1]) ).

fof(f_715_3,plain,
    ( ! [U_3964,U_3962,U_3960,U_3958] :
        ( seq_list_char(U_3964,U_3962) = seq_list_char(U_3960,U_3958)
        | U_3962 != U_3958
        | U_3964 != U_3960 )
    & ! [U_3963,U_3961,U_3959,U_3957] :
        ( ( U_3961 = U_3957
          & U_3963 = U_3959 )
        | seq_list_char(U_3963,U_3961) != seq_list_char(U_3959,U_3957) ) ),
    inference(miniscope,[status(thm)],[f_715_2]) ).

cnf(f_715_4,plain,
    ( U_3963 = U_3959
    | seq_list_char(U_3963,U_3961) != seq_list_char(U_3959,U_3957) ),
    inference(clausify,[status(thm)],[f_715_3]) ).

cnf(f_715_5,plain,
    ( U_3961 = U_3957
    | seq_list_char(U_3963,U_3961) != seq_list_char(U_3959,U_3957) ),
    inference(clausify,[status(thm)],[f_715_3]) ).

cnf(f_715_6,plain,
    ( seq_list_char(U_3964,U_3962) = seq_list_char(U_3960,U_3958)
    | U_3962 != U_3958
    | U_3964 != U_3960 ),
    inference(clausify,[status(thm)],[f_715_3]) ).

fof(f_716_1,plain,
    ! [A,Exp_8,A_3,Exp_7] :
      ( ( lAss_list_char(A,Exp_8) = lAss_list_char(A_3,Exp_7)
        | Exp_8 != Exp_7
        | A != A_3 )
      & ( ( Exp_8 = Exp_7
          & A = A_3 )
        | lAss_list_char(A,Exp_8) != lAss_list_char(A_3,Exp_7) ) ),
    inference(fof_nnf,[status(thm)],[fact_574_exp_Osimps_I6_J]) ).

fof(f_716_2,plain,
    ! [U_3968,U_3967,U_3966,U_3965] :
      ( ( lAss_list_char(U_3968,U_3967) = lAss_list_char(U_3966,U_3965)
        | U_3967 != U_3965
        | U_3968 != U_3966 )
      & ( ( U_3967 = U_3965
          & U_3968 = U_3966 )
        | lAss_list_char(U_3968,U_3967) != lAss_list_char(U_3966,U_3965) ) ),
    inference(variable_rename,[status(thm)],[f_716_1]) ).

fof(f_716_3,plain,
    ( ! [U_3976,U_3974,U_3972,U_3970] :
        ( lAss_list_char(U_3976,U_3974) = lAss_list_char(U_3972,U_3970)
        | U_3974 != U_3970
        | U_3976 != U_3972 )
    & ! [U_3975,U_3973,U_3971,U_3969] :
        ( ( U_3973 = U_3969
          & U_3975 = U_3971 )
        | lAss_list_char(U_3975,U_3973) != lAss_list_char(U_3971,U_3969) ) ),
    inference(miniscope,[status(thm)],[f_716_2]) ).

cnf(f_716_4,plain,
    ( U_3975 = U_3971
    | lAss_list_char(U_3975,U_3973) != lAss_list_char(U_3971,U_3969) ),
    inference(clausify,[status(thm)],[f_716_3]) ).

cnf(f_716_5,plain,
    ( U_3973 = U_3969
    | lAss_list_char(U_3975,U_3973) != lAss_list_char(U_3971,U_3969) ),
    inference(clausify,[status(thm)],[f_716_3]) ).

cnf(f_716_6,plain,
    ( lAss_list_char(U_3976,U_3974) = lAss_list_char(U_3972,U_3970)
    | U_3974 != U_3970
    | U_3976 != U_3972 ),
    inference(clausify,[status(thm)],[f_716_3]) ).

fof(f_717_1,plain,
    ! [A,Ty_4,Exp_8,A_3,Ty_3,Exp_7] :
      ( ( block_list_char(A,Ty_4,Exp_8) = block_list_char(A_3,Ty_3,Exp_7)
        | Exp_8 != Exp_7
        | Ty_4 != Ty_3
        | A != A_3 )
      & ( ( Exp_8 = Exp_7
          & Ty_4 = Ty_3
          & A = A_3 )
        | block_list_char(A,Ty_4,Exp_8) != block_list_char(A_3,Ty_3,Exp_7) ) ),
    inference(fof_nnf,[status(thm)],[fact_575_exp_Osimps_I10_J]) ).

fof(f_717_2,plain,
    ! [U_3982,U_3981,U_3980,U_3979,U_3978,U_3977] :
      ( ( block_list_char(U_3982,U_3981,U_3980) = block_list_char(U_3979,U_3978,U_3977)
        | U_3980 != U_3977
        | U_3981 != U_3978
        | U_3982 != U_3979 )
      & ( ( U_3980 = U_3977
          & U_3981 = U_3978
          & U_3982 = U_3979 )
        | block_list_char(U_3982,U_3981,U_3980) != block_list_char(U_3979,U_3978,U_3977) ) ),
    inference(variable_rename,[status(thm)],[f_717_1]) ).

fof(f_717_3,plain,
    ( ! [U_3994,U_3992,U_3990,U_3988,U_3986,U_3984] :
        ( block_list_char(U_3994,U_3992,U_3990) = block_list_char(U_3988,U_3986,U_3984)
        | U_3990 != U_3984
        | U_3992 != U_3986
        | U_3994 != U_3988 )
    & ! [U_3993,U_3991,U_3989,U_3987,U_3985,U_3983] :
        ( ( U_3989 = U_3983
          & U_3991 = U_3985
          & U_3993 = U_3987 )
        | block_list_char(U_3993,U_3991,U_3989) != block_list_char(U_3987,U_3985,U_3983) ) ),
    inference(miniscope,[status(thm)],[f_717_2]) ).

cnf(f_717_4,plain,
    ( U_3993 = U_3987
    | block_list_char(U_3993,U_3991,U_3989) != block_list_char(U_3987,U_3985,U_3983) ),
    inference(clausify,[status(thm)],[f_717_3]) ).

cnf(f_717_5,plain,
    ( U_3991 = U_3985
    | block_list_char(U_3993,U_3991,U_3989) != block_list_char(U_3987,U_3985,U_3983) ),
    inference(clausify,[status(thm)],[f_717_3]) ).

cnf(f_717_6,plain,
    ( U_3989 = U_3983
    | block_list_char(U_3993,U_3991,U_3989) != block_list_char(U_3987,U_3985,U_3983) ),
    inference(clausify,[status(thm)],[f_717_3]) ).

cnf(f_717_7,plain,
    ( block_list_char(U_3994,U_3992,U_3990) = block_list_char(U_3988,U_3986,U_3984)
    | U_3990 != U_3984
    | U_3992 != U_3986
    | U_3994 != U_3988 ),
    inference(clausify,[status(thm)],[f_717_3]) ).

fof(f_718_1,plain,
    ! [Val_5,Exp1_4,Exp2_4] : hAPP_v834067052t_char(val_list_char,Val_5) != seq_list_char(Exp1_4,Exp2_4),
    inference(fof_nnf,[status(thm)],[fact_576_exp_Osimps_I84_J]) ).

fof(f_718_2,plain,
    ! [U_3997,U_3996,U_3995] : hAPP_v834067052t_char(val_list_char,U_3997) != seq_list_char(U_3996,U_3995),
    inference(variable_rename,[status(thm)],[f_718_1]) ).

cnf(f_718_3,plain,
    hAPP_v834067052t_char(val_list_char,U_3997) != seq_list_char(U_3996,U_3995),
    inference(clausify,[status(thm)],[f_718_2]) ).

fof(f_719_1,plain,
    ! [Val_4,A_12,Exp_6] : hAPP_v834067052t_char(val_list_char,Val_4) != lAss_list_char(A_12,Exp_6),
    inference(fof_nnf,[status(thm)],[fact_577_exp_Osimps_I74_J]) ).

fof(f_719_2,plain,
    ! [U_4000,U_3999,U_3998] : hAPP_v834067052t_char(val_list_char,U_4000) != lAss_list_char(U_3999,U_3998),
    inference(variable_rename,[status(thm)],[f_719_1]) ).

cnf(f_719_3,plain,
    hAPP_v834067052t_char(val_list_char,U_4000) != lAss_list_char(U_3999,U_3998),
    inference(clausify,[status(thm)],[f_719_2]) ).

fof(f_720_1,plain,
    ! [Exp1_3,Exp2_3,Val_3] : seq_list_char(Exp1_3,Exp2_3) != hAPP_v834067052t_char(val_list_char,Val_3),
    inference(fof_nnf,[status(thm)],[fact_578_exp_Osimps_I85_J]) ).

fof(f_720_2,plain,
    ! [U_4003,U_4002,U_4001] : seq_list_char(U_4003,U_4002) != hAPP_v834067052t_char(val_list_char,U_4001),
    inference(variable_rename,[status(thm)],[f_720_1]) ).

cnf(f_720_3,plain,
    seq_list_char(U_4003,U_4002) != hAPP_v834067052t_char(val_list_char,U_4001),
    inference(clausify,[status(thm)],[f_720_2]) ).

fof(f_721_1,plain,
    ! [A_11,Exp_5,Val_2] : lAss_list_char(A_11,Exp_5) != hAPP_v834067052t_char(val_list_char,Val_2),
    inference(fof_nnf,[status(thm)],[fact_579_exp_Osimps_I75_J]) ).

fof(f_721_2,plain,
    ! [U_4006,U_4005,U_4004] : lAss_list_char(U_4006,U_4005) != hAPP_v834067052t_char(val_list_char,U_4004),
    inference(variable_rename,[status(thm)],[f_721_1]) ).

cnf(f_721_3,plain,
    lAss_list_char(U_4006,U_4005) != hAPP_v834067052t_char(val_list_char,U_4004),
    inference(clausify,[status(thm)],[f_721_2]) ).

fof(f_722_1,plain,
    ! [Val_1,A_10,Ty_2,Exp_4] : hAPP_v834067052t_char(val_list_char,Val_1) != block_list_char(A_10,Ty_2,Exp_4),
    inference(fof_nnf,[status(thm)],[fact_580_exp_Osimps_I82_J]) ).

fof(f_722_2,plain,
    ! [U_4010,U_4009,U_4008,U_4007] : hAPP_v834067052t_char(val_list_char,U_4010) != block_list_char(U_4009,U_4008,U_4007),
    inference(variable_rename,[status(thm)],[f_722_1]) ).

cnf(f_722_3,plain,
    hAPP_v834067052t_char(val_list_char,U_4010) != block_list_char(U_4009,U_4008,U_4007),
    inference(clausify,[status(thm)],[f_722_2]) ).

fof(f_723_1,plain,
    ! [A_9,Ty_1,Exp_3,Val] : block_list_char(A_9,Ty_1,Exp_3) != hAPP_v834067052t_char(val_list_char,Val),
    inference(fof_nnf,[status(thm)],[fact_581_exp_Osimps_I83_J]) ).

fof(f_723_2,plain,
    ! [U_4014,U_4013,U_4012,U_4011] : block_list_char(U_4014,U_4013,U_4012) != hAPP_v834067052t_char(val_list_char,U_4011),
    inference(variable_rename,[status(thm)],[f_723_1]) ).

cnf(f_723_3,plain,
    block_list_char(U_4014,U_4013,U_4012) != hAPP_v834067052t_char(val_list_char,U_4011),
    inference(clausify,[status(thm)],[f_723_2]) ).

fof(f_724_1,plain,
    ! [Va,A_2] : hBOOL(d_list_char(hAPP_v834067052t_char(val_list_char,Va),A_2)),
    inference(fof_nnf,[status(thm)],[fact_582__092_060D_062___092_060D_062s_Osimps_I3_J]) ).

fof(f_724_2,plain,
    ! [U_4016,U_4015] : hBOOL(d_list_char(hAPP_v834067052t_char(val_list_char,U_4016),U_4015)),
    inference(variable_rename,[status(thm)],[f_724_1]) ).

cnf(f_724_3,plain,
    hBOOL(d_list_char(hAPP_v834067052t_char(val_list_char,U_4016),U_4015)),
    inference(clausify,[status(thm)],[f_724_2]) ).

fof(f_725_1,plain,
    ! [Exp1_2,Exp2_2,A_8,Exp_2] : seq_list_char(Exp1_2,Exp2_2) != lAss_list_char(A_8,Exp_2),
    inference(fof_nnf,[status(thm)],[fact_583_exp_Osimps_I145_J]) ).

fof(f_725_2,plain,
    ! [U_4020,U_4019,U_4018,U_4017] : seq_list_char(U_4020,U_4019) != lAss_list_char(U_4018,U_4017),
    inference(variable_rename,[status(thm)],[f_725_1]) ).

cnf(f_725_3,plain,
    seq_list_char(U_4020,U_4019) != lAss_list_char(U_4018,U_4017),
    inference(clausify,[status(thm)],[f_725_2]) ).

fof(f_726_1,plain,
    ! [A_7,Exp_1,Exp1_1,Exp2_1] : lAss_list_char(A_7,Exp_1) != seq_list_char(Exp1_1,Exp2_1),
    inference(fof_nnf,[status(thm)],[fact_584_exp_Osimps_I144_J]) ).

fof(f_726_2,plain,
    ! [U_4024,U_4023,U_4022,U_4021] : lAss_list_char(U_4024,U_4023) != seq_list_char(U_4022,U_4021),
    inference(variable_rename,[status(thm)],[f_726_1]) ).

cnf(f_726_3,plain,
    lAss_list_char(U_4024,U_4023) != seq_list_char(U_4022,U_4021),
    inference(clausify,[status(thm)],[f_726_2]) ).

fof(f_727_1,plain,
    ! [Exp1,Exp2,A_6,Ty,Exp] : seq_list_char(Exp1,Exp2) != block_list_char(A_6,Ty,Exp),
    inference(fof_nnf,[status(thm)],[fact_585_exp_Osimps_I197_J]) ).

fof(f_727_2,plain,
    ! [U_4029,U_4028,U_4027,U_4026,U_4025] : seq_list_char(U_4029,U_4028) != block_list_char(U_4027,U_4026,U_4025),
    inference(variable_rename,[status(thm)],[f_727_1]) ).

cnf(f_727_3,plain,
    seq_list_char(U_4029,U_4028) != block_list_char(U_4027,U_4026,U_4025),
    inference(clausify,[status(thm)],[f_727_2]) ).

fof(f_728_1,plain,
    ! [Fs_2,A,C,Fs,Pa,Hb] :
      ( hBOOL(hAPP_f61040418l_bool(hconf_97414254t_char(Pa),fun_up2041264236on_val(Hb,A,hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),Fs_2)))))
      | ~ hBOOL(hAPP_P1235399154l_bool(oconf_1869808039t_char(Pa,Hb),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),Fs_2)))
      | hAPP_n546249108on_val(Hb,A) != hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),Fs))
      | ~ hBOOL(hAPP_f61040418l_bool(hconf_97414254t_char(Pa),Hb)) ),
    inference(fof_nnf,[status(thm)],[fact_586_hconf__upd__obj]) ).

fof(f_728_2,plain,
    ! [U_4035,U_4034,U_4033,U_4032,U_4031,U_4030] :
      ( hBOOL(hAPP_f61040418l_bool(hconf_97414254t_char(U_4031),fun_up2041264236on_val(U_4030,U_4034,hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_4033),U_4035)))))
      | ~ hBOOL(hAPP_P1235399154l_bool(oconf_1869808039t_char(U_4031,U_4030),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_4033),U_4035)))
      | hAPP_n546249108on_val(U_4030,U_4034) != hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_4033),U_4032))
      | ~ hBOOL(hAPP_f61040418l_bool(hconf_97414254t_char(U_4031),U_4030)) ),
    inference(variable_rename,[status(thm)],[f_728_1]) ).

cnf(f_728_3,plain,
    ( hBOOL(hAPP_f61040418l_bool(hconf_97414254t_char(U_4031),fun_up2041264236on_val(U_4030,U_4034,hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_4033),U_4035)))))
    | ~ hBOOL(hAPP_P1235399154l_bool(oconf_1869808039t_char(U_4031,U_4030),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_4033),U_4035)))
    | hAPP_n546249108on_val(U_4030,U_4034) != hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_4033),U_4032))
    | ~ hBOOL(hAPP_f61040418l_bool(hconf_97414254t_char(U_4031),U_4030)) ),
    inference(clausify,[status(thm)],[f_728_2]) ).

fof(f_729_1,plain,
    ! [Ta,V_a,Pa,Eb,Hb,Lb,Va_1,Va,E_b,H_b,L_b] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,block_list_char(Va_1,Ta,seq_list_char(lAss_list_char(Va_1,hAPP_v834067052t_char(val_list_char,Va)),Eb)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb)),block_list_char(Va_1,Ta,seq_list_char(lAss_list_char(Va_1,hAPP_v834067052t_char(val_list_char,V_a)),E_b))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),fun_up1149430426on_val(L_b,Va_1,hAPP_l207779698on_val(Lb,Va_1)))))
      | hAPP_l207779698on_val(L_b,Va_1) != hAPP_val_option_val(some_val,V_a)
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Eb,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),fun_up1149430426on_val(Lb,Va_1,hAPP_val_option_val(some_val,Va)))),E_b),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),L_b))) ),
    inference(fof_nnf,[status(thm)],[fact_587_redp__redsp_OInitBlockRed]) ).

fof(f_729_2,plain,
    ! [U_4046,U_4045,U_4044,U_4043,U_4042,U_4041,U_4040,U_4039,U_4038,U_4037,U_4036] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(U_4044,block_list_char(U_4040,U_4046,seq_list_char(lAss_list_char(U_4040,hAPP_v834067052t_char(val_list_char,U_4039)),U_4043)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_4042),U_4041)),block_list_char(U_4040,U_4046,seq_list_char(lAss_list_char(U_4040,hAPP_v834067052t_char(val_list_char,U_4045)),U_4038))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_4037),fun_up1149430426on_val(U_4036,U_4040,hAPP_l207779698on_val(U_4041,U_4040)))))
      | hAPP_l207779698on_val(U_4036,U_4040) != hAPP_val_option_val(some_val,U_4045)
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(U_4044,U_4043,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_4042),fun_up1149430426on_val(U_4041,U_4040,hAPP_val_option_val(some_val,U_4039)))),U_4038),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_4037),U_4036))) ),
    inference(variable_rename,[status(thm)],[f_729_1]) ).

cnf(f_729_3,plain,
    ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(U_4044,block_list_char(U_4040,U_4046,seq_list_char(lAss_list_char(U_4040,hAPP_v834067052t_char(val_list_char,U_4039)),U_4043)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_4042),U_4041)),block_list_char(U_4040,U_4046,seq_list_char(lAss_list_char(U_4040,hAPP_v834067052t_char(val_list_char,U_4045)),U_4038))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_4037),fun_up1149430426on_val(U_4036,U_4040,hAPP_l207779698on_val(U_4041,U_4040)))))
    | hAPP_l207779698on_val(U_4036,U_4040) != hAPP_val_option_val(some_val,U_4045)
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(U_4044,U_4043,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_4042),fun_up1149430426on_val(U_4041,U_4040,hAPP_val_option_val(some_val,U_4039)))),U_4038),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_4037),U_4036))) ),
    inference(clausify,[status(thm)],[f_729_2]) ).

fof(f_730_1,plain,
    ! [Ta,Va,Eb,Hb,Lb,Va_1,E_b,H_b,L_b,Pa] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,block_list_char(Va_1,Ta,Eb)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,block_list_char(Va_1,Ta,seq_list_char(lAss_list_char(Va_1,hAPP_v834067052t_char(val_list_char,Va)),E_b))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),fun_up1149430426on_val(L_b,Va_1,hAPP_l207779698on_val(Lb,Va_1)))))),red(Pa)))
      | hBOOL(assigned(Va_1,Eb))
      | hAPP_l207779698on_val(L_b,Va_1) != hAPP_val_option_val(some_val,Va)
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),fun_up1149430426on_val(Lb,Va_1,none_val)))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),L_b)))),red(Pa))) ),
    inference(fof_nnf,[status(thm)],[fact_588_red__reds_OBlockRedSome]) ).

fof(f_730_2,plain,
    ! [U_4056,U_4055,U_4054,U_4053,U_4052,U_4051,U_4050,U_4049,U_4048,U_4047] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,block_list_char(U_4051,U_4056,U_4054)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_4053),U_4052))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,block_list_char(U_4051,U_4056,seq_list_char(lAss_list_char(U_4051,hAPP_v834067052t_char(val_list_char,U_4055)),U_4050))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_4049),fun_up1149430426on_val(U_4048,U_4051,hAPP_l207779698on_val(U_4052,U_4051)))))),red(U_4047)))
      | hBOOL(assigned(U_4051,U_4054))
      | hAPP_l207779698on_val(U_4048,U_4051) != hAPP_val_option_val(some_val,U_4055)
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_4054),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_4053),fun_up1149430426on_val(U_4052,U_4051,none_val)))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_4050),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_4049),U_4048)))),red(U_4047))) ),
    inference(variable_rename,[status(thm)],[f_730_1]) ).

cnf(f_730_3,plain,
    ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,block_list_char(U_4051,U_4056,U_4054)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_4053),U_4052))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,block_list_char(U_4051,U_4056,seq_list_char(lAss_list_char(U_4051,hAPP_v834067052t_char(val_list_char,U_4055)),U_4050))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_4049),fun_up1149430426on_val(U_4048,U_4051,hAPP_l207779698on_val(U_4052,U_4051)))))),red(U_4047)))
    | hBOOL(assigned(U_4051,U_4054))
    | hAPP_l207779698on_val(U_4048,U_4051) != hAPP_val_option_val(some_val,U_4055)
    | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_4054),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_4053),fun_up1149430426on_val(U_4052,U_4051,none_val)))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_4050),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_4049),U_4048)))),red(U_4047))) ),
    inference(clausify,[status(thm)],[f_730_2]) ).

fof(f_731_1,plain,
    ! [Pa,Hb,Eb,T_a,Ea,Va_1,Ta] :
      ( hBOOL(wTrt_1(Pa,Hb,Ea,lAss_list_char(Va_1,Eb),void))
      | ~ hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(Pa),T_a),Ta))
      | ~ hBOOL(wTrt_1(Pa,Hb,Ea,Eb,T_a))
      | hAPP_l512744617ion_ty(Ea,Va_1) != hAPP_ty_option_ty(some_ty,Ta) ),
    inference(fof_nnf,[status(thm)],[fact_589_WTrtLAss]) ).

fof(f_731_2,plain,
    ! [U_4063,U_4062,U_4061,U_4060,U_4059,U_4058,U_4057] :
      ( hBOOL(wTrt_1(U_4063,U_4062,U_4059,lAss_list_char(U_4058,U_4061),void))
      | ~ hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(U_4063),U_4060),U_4057))
      | ~ hBOOL(wTrt_1(U_4063,U_4062,U_4059,U_4061,U_4060))
      | hAPP_l512744617ion_ty(U_4059,U_4058) != hAPP_ty_option_ty(some_ty,U_4057) ),
    inference(variable_rename,[status(thm)],[f_731_1]) ).

cnf(f_731_3,plain,
    ( hBOOL(wTrt_1(U_4063,U_4062,U_4059,lAss_list_char(U_4058,U_4061),void))
    | ~ hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(U_4063),U_4060),U_4057))
    | ~ hBOOL(wTrt_1(U_4063,U_4062,U_4059,U_4061,U_4060))
    | hAPP_l512744617ion_ty(U_4059,U_4058) != hAPP_ty_option_ty(some_ty,U_4057) ),
    inference(clausify,[status(thm)],[f_731_2]) ).

fof(f_732_1,plain,
    ! [Va_1,Eb,S,Va,H_b,L_b,Pa] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,lAss_list_char(Va_1,Eb)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,unit)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),fun_up1149430426on_val(L_b,Va_1,hAPP_val_option_val(some_val,Va)))))),transi2024712006on_val(red(Pa))))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,Va)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),L_b)))),transi2024712006on_val(red(Pa)))) ),
    inference(fof_nnf,[status(thm)],[fact_590_LAssRedsVal]) ).

fof(f_732_2,plain,
    ! [U_4070,U_4069,U_4068,U_4067,U_4066,U_4065,U_4064] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,lAss_list_char(U_4070,U_4069)),U_4068)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,unit)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_4066),fun_up1149430426on_val(U_4065,U_4070,hAPP_val_option_val(some_val,U_4067)))))),transi2024712006on_val(red(U_4064))))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_4069),U_4068)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,U_4067)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_4066),U_4065)))),transi2024712006on_val(red(U_4064)))) ),
    inference(variable_rename,[status(thm)],[f_732_1]) ).

cnf(f_732_3,plain,
    ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,lAss_list_char(U_4070,U_4069)),U_4068)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,unit)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_4066),fun_up1149430426on_val(U_4065,U_4070,hAPP_val_option_val(some_val,U_4067)))))),transi2024712006on_val(red(U_4064))))
    | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_4069),U_4068)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,U_4067)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_4066),U_4065)))),transi2024712006on_val(red(U_4064)))) ),
    inference(clausify,[status(thm)],[f_732_2]) ).

fof(f_733_1,plain,
    ! [H_b,Hb] :
      ( hBOOL(hext(Hb,H_b))
      | ? [A_1,C_1,Fs_1] :
          ( ! [Fs_3] : hAPP_n546249108on_val(H_b,A_1) != hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C_1),Fs_3))
          & hAPP_n546249108on_val(Hb,A_1) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C_1),Fs_1)) ) ),
    inference(fof_nnf,[status(thm)],[fact_591_hextI]) ).

fof(f_733_2,plain,
    ! [U_4076,U_4075] :
      ( hBOOL(hext(U_4075,U_4076))
      | ? [U_4074,U_4073,U_4072] :
          ( ! [U_4071] : hAPP_n546249108on_val(U_4076,U_4074) != hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_4073),U_4071))
          & hAPP_n546249108on_val(U_4075,U_4074) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_4073),U_4072)) ) ),
    inference(variable_rename,[status(thm)],[f_733_1]) ).

fof(f_733_3,plain,
    ! [U_4076,U_4075] :
      ( hBOOL(hext(U_4075,U_4076))
      | ? [U_4074,U_4073] :
          ( ? [U_4072] : hAPP_n546249108on_val(U_4075,U_4074) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_4073),U_4072))
          & ! [U_4071] : hAPP_n546249108on_val(U_4076,U_4074) != hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_4073),U_4071)) ) ),
    inference(miniscope,[status(thm)],[f_733_2]) ).

fof(f_733_4,plain,
    ! [U_4076,U_4075] :
      ( hBOOL(hext(U_4075,U_4076))
      | ? [U_4073] :
          ( ? [U_4072] : hAPP_n546249108on_val(U_4075,sK729(U_4076,U_4075)) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_4073),U_4072))
          & ! [U_4071] : hAPP_n546249108on_val(U_4076,sK729(U_4076,U_4075)) != hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_4073),U_4071)) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK729]),skolemize(U_4074,sK729(U_4076,U_4075))],[f_733_3]) ).

fof(f_733_5,plain,
    ! [U_4076,U_4075] :
      ( hBOOL(hext(U_4075,U_4076))
      | ( ? [U_4072] : hAPP_n546249108on_val(U_4075,sK729(U_4076,U_4075)) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,sK730(U_4076,U_4075)),U_4072))
        & ! [U_4071] : hAPP_n546249108on_val(U_4076,sK729(U_4076,U_4075)) != hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,sK730(U_4076,U_4075)),U_4071)) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK730]),skolemize(U_4073,sK730(U_4076,U_4075))],[f_733_4]) ).

fof(f_733_6,plain,
    ! [U_4076,U_4075] :
      ( hBOOL(hext(U_4075,U_4076))
      | ( hAPP_n546249108on_val(U_4075,sK729(U_4076,U_4075)) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,sK730(U_4076,U_4075)),sK731(U_4076,U_4075)))
        & ! [U_4071] : hAPP_n546249108on_val(U_4076,sK729(U_4076,U_4075)) != hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,sK730(U_4076,U_4075)),U_4071)) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK731]),skolemize(U_4072,sK731(U_4076,U_4075))],[f_733_5]) ).

cnf(f_733_7,plain,
    ( hAPP_n546249108on_val(U_4076,sK729(U_4076,U_4075)) != hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,sK730(U_4076,U_4075)),U_4071))
    | hBOOL(hext(U_4075,U_4076)) ),
    inference(clausify,[status(thm)],[f_733_6]) ).

cnf(f_733_8,plain,
    ( hAPP_n546249108on_val(U_4075,sK729(U_4076,U_4075)) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,sK730(U_4076,U_4075)),sK731(U_4076,U_4075)))
    | hBOOL(hext(U_4075,U_4076)) ),
    inference(clausify,[status(thm)],[f_733_6]) ).

fof(f_734_1,plain,
    ! [Pa,Va_1,Va,Hb,Lb] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,lAss_list_char(Va_1,hAPP_v834067052t_char(val_list_char,Va)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb)),hAPP_v834067052t_char(val_list_char,unit)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),fun_up1149430426on_val(Lb,Va_1,hAPP_val_option_val(some_val,Va))))),
    inference(fof_nnf,[status(thm)],[fact_592_redp__redsp_ORedLAss]) ).

fof(f_734_2,plain,
    ! [U_4081,U_4080,U_4079,U_4078,U_4077] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(U_4081,lAss_list_char(U_4080,hAPP_v834067052t_char(val_list_char,U_4079)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_4078),U_4077)),hAPP_v834067052t_char(val_list_char,unit)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_4078),fun_up1149430426on_val(U_4077,U_4080,hAPP_val_option_val(some_val,U_4079))))),
    inference(variable_rename,[status(thm)],[f_734_1]) ).

cnf(f_734_3,plain,
    hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(U_4081,lAss_list_char(U_4080,hAPP_v834067052t_char(val_list_char,U_4079)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_4078),U_4077)),hAPP_v834067052t_char(val_list_char,unit)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_4078),fun_up1149430426on_val(U_4077,U_4080,hAPP_val_option_val(some_val,U_4079))))),
    inference(clausify,[status(thm)],[f_734_2]) ).

fof(f_735_1,plain,
    ! [Eb,H_0,L_0,E_b,H_1,L_1_1,Pa] :
      ( hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(dom_list_char_val(L_0)),dom_list_char_val(L_1_1)))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_0),L_0))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_1),L_1_1)))),red(Pa))) ),
    inference(fof_nnf,[status(thm)],[fact_593_red__lcl__incr]) ).

fof(f_735_2,plain,
    ! [U_4088,U_4087,U_4086,U_4085,U_4084,U_4083,U_4082] :
      ( hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(dom_list_char_val(U_4086)),dom_list_char_val(U_4083)))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_4088),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_4087),U_4086))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_4085),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_4084),U_4083)))),red(U_4082))) ),
    inference(variable_rename,[status(thm)],[f_735_1]) ).

fof(f_735_3,plain,
    ! [U_4088,U_4087,U_4086,U_4085,U_4084,U_4083] :
      ( ! [U_4082] : ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_4088),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_4087),U_4086))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_4085),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_4084),U_4083)))),red(U_4082)))
      | hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(dom_list_char_val(U_4086)),dom_list_char_val(U_4083))) ),
    inference(miniscope,[status(thm)],[f_735_2]) ).

cnf(f_735_4,plain,
    ( ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_4088),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_4087),U_4086))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_4085),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_4084),U_4083)))),red(U_4082)))
    | hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(dom_list_char_val(U_4086)),dom_list_char_val(U_4083))) ),
    inference(clausify,[status(thm)],[f_735_3]) ).

fof(f_736_1,plain,
    ! [Pa,Hb,Ea] : hBOOL(hAPP_f1001225811y_bool(hAPP_f2060496320y_bool(hAPP_f1213370163y_bool(lconf_496643946t_char(Pa),Hb),hAPP_o538043682on_val(cOMBK_1097134891t_char,none_val)),Ea)),
    inference(fof_nnf,[status(thm)],[fact_594_lconf__empty]) ).

fof(f_736_2,plain,
    ! [U_4091,U_4090,U_4089] : hBOOL(hAPP_f1001225811y_bool(hAPP_f2060496320y_bool(hAPP_f1213370163y_bool(lconf_496643946t_char(U_4091),U_4090),hAPP_o538043682on_val(cOMBK_1097134891t_char,none_val)),U_4089)),
    inference(variable_rename,[status(thm)],[f_736_1]) ).

cnf(f_736_3,plain,
    hBOOL(hAPP_f1001225811y_bool(hAPP_f2060496320y_bool(hAPP_f1213370163y_bool(lconf_496643946t_char(U_4091),U_4090),hAPP_o538043682on_val(cOMBK_1097134891t_char,none_val)),U_4089)),
    inference(clausify,[status(thm)],[f_736_2]) ).

fof(f_737_1,plain,
    ! [Q_1,Pa,X_2] :
      ( hBOOL(hAPP_list_char_bool(Q_1,X_2))
      | ~ hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(Pa),Q_1))
      | ~ hBOOL(hAPP_list_char_bool(Pa,X_2)) ),
    inference(fof_nnf,[status(thm)],[fact_595_rev__predicate1D]) ).

fof(f_737_2,plain,
    ! [U_4094,U_4093,U_4092] :
      ( hBOOL(hAPP_list_char_bool(U_4094,U_4092))
      | ~ hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(U_4093),U_4094))
      | ~ hBOOL(hAPP_list_char_bool(U_4093,U_4092)) ),
    inference(variable_rename,[status(thm)],[f_737_1]) ).

cnf(f_737_3,plain,
    ( hBOOL(hAPP_list_char_bool(U_4094,U_4092))
    | ~ hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(U_4093),U_4094))
    | ~ hBOOL(hAPP_list_char_bool(U_4093,U_4092)) ),
    inference(clausify,[status(thm)],[f_737_2]) ).

fof(f_738_1,plain,
    ! [X_2,Pa,Q_1] :
      ( hBOOL(hAPP_list_char_bool(Q_1,X_2))
      | ~ hBOOL(hAPP_list_char_bool(Pa,X_2))
      | ~ hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(Pa),Q_1)) ),
    inference(fof_nnf,[status(thm)],[fact_596_predicate1D]) ).

fof(f_738_2,plain,
    ! [U_4097,U_4096,U_4095] :
      ( hBOOL(hAPP_list_char_bool(U_4095,U_4097))
      | ~ hBOOL(hAPP_list_char_bool(U_4096,U_4097))
      | ~ hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(U_4096),U_4095)) ),
    inference(variable_rename,[status(thm)],[f_738_1]) ).

cnf(f_738_3,plain,
    ( hBOOL(hAPP_list_char_bool(U_4095,U_4097))
    | ~ hBOOL(hAPP_list_char_bool(U_4096,U_4097))
    | ~ hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(U_4096),U_4095)) ),
    inference(clausify,[status(thm)],[f_738_2]) ).

fof(f_739_1,plain,
    ! [R_2,S_4] :
      ( ( hBOOL(hAPP_f483496539l_bool(ord_le1987888477r_bool(hAPP_f1853572245r_bool(hAPP_f1933376467r_bool(cOMBC_36589090l_bool,member1601084734t_char),R_2)),hAPP_f1853572245r_bool(hAPP_f1933376467r_bool(cOMBC_36589090l_bool,member1601084734t_char),S_4)))
        | ~ hBOOL(hAPP_f483496539l_bool(ord_le1987888477r_bool(R_2),S_4)) )
      & ( hBOOL(hAPP_f483496539l_bool(ord_le1987888477r_bool(R_2),S_4))
        | ~ hBOOL(hAPP_f483496539l_bool(ord_le1987888477r_bool(hAPP_f1853572245r_bool(hAPP_f1933376467r_bool(cOMBC_36589090l_bool,member1601084734t_char),R_2)),hAPP_f1853572245r_bool(hAPP_f1933376467r_bool(cOMBC_36589090l_bool,member1601084734t_char),S_4))) ) ),
    inference(fof_nnf,[status(thm)],[fact_597_pred__subset__eq]) ).

fof(f_739_2,plain,
    ! [U_4099,U_4098] :
      ( ( hBOOL(hAPP_f483496539l_bool(ord_le1987888477r_bool(hAPP_f1853572245r_bool(hAPP_f1933376467r_bool(cOMBC_36589090l_bool,member1601084734t_char),U_4099)),hAPP_f1853572245r_bool(hAPP_f1933376467r_bool(cOMBC_36589090l_bool,member1601084734t_char),U_4098)))
        | ~ hBOOL(hAPP_f483496539l_bool(ord_le1987888477r_bool(U_4099),U_4098)) )
      & ( hBOOL(hAPP_f483496539l_bool(ord_le1987888477r_bool(U_4099),U_4098))
        | ~ hBOOL(hAPP_f483496539l_bool(ord_le1987888477r_bool(hAPP_f1853572245r_bool(hAPP_f1933376467r_bool(cOMBC_36589090l_bool,member1601084734t_char),U_4099)),hAPP_f1853572245r_bool(hAPP_f1933376467r_bool(cOMBC_36589090l_bool,member1601084734t_char),U_4098))) ) ),
    inference(variable_rename,[status(thm)],[f_739_1]) ).

fof(f_739_3,plain,
    ( ! [U_4103,U_4101] :
        ( hBOOL(hAPP_f483496539l_bool(ord_le1987888477r_bool(hAPP_f1853572245r_bool(hAPP_f1933376467r_bool(cOMBC_36589090l_bool,member1601084734t_char),U_4103)),hAPP_f1853572245r_bool(hAPP_f1933376467r_bool(cOMBC_36589090l_bool,member1601084734t_char),U_4101)))
        | ~ hBOOL(hAPP_f483496539l_bool(ord_le1987888477r_bool(U_4103),U_4101)) )
    & ! [U_4102,U_4100] :
        ( hBOOL(hAPP_f483496539l_bool(ord_le1987888477r_bool(U_4102),U_4100))
        | ~ hBOOL(hAPP_f483496539l_bool(ord_le1987888477r_bool(hAPP_f1853572245r_bool(hAPP_f1933376467r_bool(cOMBC_36589090l_bool,member1601084734t_char),U_4102)),hAPP_f1853572245r_bool(hAPP_f1933376467r_bool(cOMBC_36589090l_bool,member1601084734t_char),U_4100))) ) ),
    inference(miniscope,[status(thm)],[f_739_2]) ).

cnf(f_739_4,plain,
    ( hBOOL(hAPP_f483496539l_bool(ord_le1987888477r_bool(U_4102),U_4100))
    | ~ hBOOL(hAPP_f483496539l_bool(ord_le1987888477r_bool(hAPP_f1853572245r_bool(hAPP_f1933376467r_bool(cOMBC_36589090l_bool,member1601084734t_char),U_4102)),hAPP_f1853572245r_bool(hAPP_f1933376467r_bool(cOMBC_36589090l_bool,member1601084734t_char),U_4100))) ),
    inference(clausify,[status(thm)],[f_739_3]) ).

cnf(f_739_5,plain,
    ( hBOOL(hAPP_f483496539l_bool(ord_le1987888477r_bool(hAPP_f1853572245r_bool(hAPP_f1933376467r_bool(cOMBC_36589090l_bool,member1601084734t_char),U_4103)),hAPP_f1853572245r_bool(hAPP_f1933376467r_bool(cOMBC_36589090l_bool,member1601084734t_char),U_4101)))
    | ~ hBOOL(hAPP_f483496539l_bool(ord_le1987888477r_bool(U_4103),U_4101)) ),
    inference(clausify,[status(thm)],[f_739_3]) ).

fof(f_740_1,plain,
    ! [R_2,S_4] :
      ( ( hBOOL(hAPP_f515912112l_bool(ord_le117566470r_bool(hAPP_f1666729379r_bool(hAPP_f1020753317r_bool(cOMBC_1297648632l_bool,member1467889965t_char),R_2)),hAPP_f1666729379r_bool(hAPP_f1020753317r_bool(cOMBC_1297648632l_bool,member1467889965t_char),S_4)))
        | ~ hBOOL(hAPP_f515912112l_bool(ord_le117566470r_bool(R_2),S_4)) )
      & ( hBOOL(hAPP_f515912112l_bool(ord_le117566470r_bool(R_2),S_4))
        | ~ hBOOL(hAPP_f515912112l_bool(ord_le117566470r_bool(hAPP_f1666729379r_bool(hAPP_f1020753317r_bool(cOMBC_1297648632l_bool,member1467889965t_char),R_2)),hAPP_f1666729379r_bool(hAPP_f1020753317r_bool(cOMBC_1297648632l_bool,member1467889965t_char),S_4))) ) ),
    inference(fof_nnf,[status(thm)],[fact_598_pred__subset__eq]) ).

fof(f_740_2,plain,
    ! [U_4105,U_4104] :
      ( ( hBOOL(hAPP_f515912112l_bool(ord_le117566470r_bool(hAPP_f1666729379r_bool(hAPP_f1020753317r_bool(cOMBC_1297648632l_bool,member1467889965t_char),U_4105)),hAPP_f1666729379r_bool(hAPP_f1020753317r_bool(cOMBC_1297648632l_bool,member1467889965t_char),U_4104)))
        | ~ hBOOL(hAPP_f515912112l_bool(ord_le117566470r_bool(U_4105),U_4104)) )
      & ( hBOOL(hAPP_f515912112l_bool(ord_le117566470r_bool(U_4105),U_4104))
        | ~ hBOOL(hAPP_f515912112l_bool(ord_le117566470r_bool(hAPP_f1666729379r_bool(hAPP_f1020753317r_bool(cOMBC_1297648632l_bool,member1467889965t_char),U_4105)),hAPP_f1666729379r_bool(hAPP_f1020753317r_bool(cOMBC_1297648632l_bool,member1467889965t_char),U_4104))) ) ),
    inference(variable_rename,[status(thm)],[f_740_1]) ).

fof(f_740_3,plain,
    ( ! [U_4109,U_4107] :
        ( hBOOL(hAPP_f515912112l_bool(ord_le117566470r_bool(hAPP_f1666729379r_bool(hAPP_f1020753317r_bool(cOMBC_1297648632l_bool,member1467889965t_char),U_4109)),hAPP_f1666729379r_bool(hAPP_f1020753317r_bool(cOMBC_1297648632l_bool,member1467889965t_char),U_4107)))
        | ~ hBOOL(hAPP_f515912112l_bool(ord_le117566470r_bool(U_4109),U_4107)) )
    & ! [U_4108,U_4106] :
        ( hBOOL(hAPP_f515912112l_bool(ord_le117566470r_bool(U_4108),U_4106))
        | ~ hBOOL(hAPP_f515912112l_bool(ord_le117566470r_bool(hAPP_f1666729379r_bool(hAPP_f1020753317r_bool(cOMBC_1297648632l_bool,member1467889965t_char),U_4108)),hAPP_f1666729379r_bool(hAPP_f1020753317r_bool(cOMBC_1297648632l_bool,member1467889965t_char),U_4106))) ) ),
    inference(miniscope,[status(thm)],[f_740_2]) ).

cnf(f_740_4,plain,
    ( hBOOL(hAPP_f515912112l_bool(ord_le117566470r_bool(U_4108),U_4106))
    | ~ hBOOL(hAPP_f515912112l_bool(ord_le117566470r_bool(hAPP_f1666729379r_bool(hAPP_f1020753317r_bool(cOMBC_1297648632l_bool,member1467889965t_char),U_4108)),hAPP_f1666729379r_bool(hAPP_f1020753317r_bool(cOMBC_1297648632l_bool,member1467889965t_char),U_4106))) ),
    inference(clausify,[status(thm)],[f_740_3]) ).

cnf(f_740_5,plain,
    ( hBOOL(hAPP_f515912112l_bool(ord_le117566470r_bool(hAPP_f1666729379r_bool(hAPP_f1020753317r_bool(cOMBC_1297648632l_bool,member1467889965t_char),U_4109)),hAPP_f1666729379r_bool(hAPP_f1020753317r_bool(cOMBC_1297648632l_bool,member1467889965t_char),U_4107)))
    | ~ hBOOL(hAPP_f515912112l_bool(ord_le117566470r_bool(U_4109),U_4107)) ),
    inference(clausify,[status(thm)],[f_740_3]) ).

fof(f_741_1,plain,
    ! [R_2,S_4] :
      ( ( hBOOL(hAPP_f458849545l_bool(ord_le1438917387l_bool(hAPP_f1856968213l_bool(hAPP_f677078775l_bool(cOMBC_475083938l_bool,member875476972on_val),R_2)),hAPP_f1856968213l_bool(hAPP_f677078775l_bool(cOMBC_475083938l_bool,member875476972on_val),S_4)))
        | ~ hBOOL(hAPP_f458849545l_bool(ord_le1438917387l_bool(R_2),S_4)) )
      & ( hBOOL(hAPP_f458849545l_bool(ord_le1438917387l_bool(R_2),S_4))
        | ~ hBOOL(hAPP_f458849545l_bool(ord_le1438917387l_bool(hAPP_f1856968213l_bool(hAPP_f677078775l_bool(cOMBC_475083938l_bool,member875476972on_val),R_2)),hAPP_f1856968213l_bool(hAPP_f677078775l_bool(cOMBC_475083938l_bool,member875476972on_val),S_4))) ) ),
    inference(fof_nnf,[status(thm)],[fact_599_pred__subset__eq]) ).

fof(f_741_2,plain,
    ! [U_4111,U_4110] :
      ( ( hBOOL(hAPP_f458849545l_bool(ord_le1438917387l_bool(hAPP_f1856968213l_bool(hAPP_f677078775l_bool(cOMBC_475083938l_bool,member875476972on_val),U_4111)),hAPP_f1856968213l_bool(hAPP_f677078775l_bool(cOMBC_475083938l_bool,member875476972on_val),U_4110)))
        | ~ hBOOL(hAPP_f458849545l_bool(ord_le1438917387l_bool(U_4111),U_4110)) )
      & ( hBOOL(hAPP_f458849545l_bool(ord_le1438917387l_bool(U_4111),U_4110))
        | ~ hBOOL(hAPP_f458849545l_bool(ord_le1438917387l_bool(hAPP_f1856968213l_bool(hAPP_f677078775l_bool(cOMBC_475083938l_bool,member875476972on_val),U_4111)),hAPP_f1856968213l_bool(hAPP_f677078775l_bool(cOMBC_475083938l_bool,member875476972on_val),U_4110))) ) ),
    inference(variable_rename,[status(thm)],[f_741_1]) ).

fof(f_741_3,plain,
    ( ! [U_4115,U_4113] :
        ( hBOOL(hAPP_f458849545l_bool(ord_le1438917387l_bool(hAPP_f1856968213l_bool(hAPP_f677078775l_bool(cOMBC_475083938l_bool,member875476972on_val),U_4115)),hAPP_f1856968213l_bool(hAPP_f677078775l_bool(cOMBC_475083938l_bool,member875476972on_val),U_4113)))
        | ~ hBOOL(hAPP_f458849545l_bool(ord_le1438917387l_bool(U_4115),U_4113)) )
    & ! [U_4114,U_4112] :
        ( hBOOL(hAPP_f458849545l_bool(ord_le1438917387l_bool(U_4114),U_4112))
        | ~ hBOOL(hAPP_f458849545l_bool(ord_le1438917387l_bool(hAPP_f1856968213l_bool(hAPP_f677078775l_bool(cOMBC_475083938l_bool,member875476972on_val),U_4114)),hAPP_f1856968213l_bool(hAPP_f677078775l_bool(cOMBC_475083938l_bool,member875476972on_val),U_4112))) ) ),
    inference(miniscope,[status(thm)],[f_741_2]) ).

cnf(f_741_4,plain,
    ( hBOOL(hAPP_f458849545l_bool(ord_le1438917387l_bool(U_4114),U_4112))
    | ~ hBOOL(hAPP_f458849545l_bool(ord_le1438917387l_bool(hAPP_f1856968213l_bool(hAPP_f677078775l_bool(cOMBC_475083938l_bool,member875476972on_val),U_4114)),hAPP_f1856968213l_bool(hAPP_f677078775l_bool(cOMBC_475083938l_bool,member875476972on_val),U_4112))) ),
    inference(clausify,[status(thm)],[f_741_3]) ).

cnf(f_741_5,plain,
    ( hBOOL(hAPP_f458849545l_bool(ord_le1438917387l_bool(hAPP_f1856968213l_bool(hAPP_f677078775l_bool(cOMBC_475083938l_bool,member875476972on_val),U_4115)),hAPP_f1856968213l_bool(hAPP_f677078775l_bool(cOMBC_475083938l_bool,member875476972on_val),U_4113)))
    | ~ hBOOL(hAPP_f458849545l_bool(ord_le1438917387l_bool(U_4115),U_4113)) ),
    inference(clausify,[status(thm)],[f_741_3]) ).

fof(f_742_1,plain,
    ! [R_2,S_4] :
      ( ( hBOOL(hAPP_f54304608l_bool(ord_le1568362934t_bool(hAPP_f800510211t_bool(hAPP_f1722879237t_bool(cOMBC_226598744l_bool,member_nat),R_2)),hAPP_f800510211t_bool(hAPP_f1722879237t_bool(cOMBC_226598744l_bool,member_nat),S_4)))
        | ~ hBOOL(hAPP_f54304608l_bool(ord_le1568362934t_bool(R_2),S_4)) )
      & ( hBOOL(hAPP_f54304608l_bool(ord_le1568362934t_bool(R_2),S_4))
        | ~ hBOOL(hAPP_f54304608l_bool(ord_le1568362934t_bool(hAPP_f800510211t_bool(hAPP_f1722879237t_bool(cOMBC_226598744l_bool,member_nat),R_2)),hAPP_f800510211t_bool(hAPP_f1722879237t_bool(cOMBC_226598744l_bool,member_nat),S_4))) ) ),
    inference(fof_nnf,[status(thm)],[fact_600_pred__subset__eq]) ).

fof(f_742_2,plain,
    ! [U_4117,U_4116] :
      ( ( hBOOL(hAPP_f54304608l_bool(ord_le1568362934t_bool(hAPP_f800510211t_bool(hAPP_f1722879237t_bool(cOMBC_226598744l_bool,member_nat),U_4117)),hAPP_f800510211t_bool(hAPP_f1722879237t_bool(cOMBC_226598744l_bool,member_nat),U_4116)))
        | ~ hBOOL(hAPP_f54304608l_bool(ord_le1568362934t_bool(U_4117),U_4116)) )
      & ( hBOOL(hAPP_f54304608l_bool(ord_le1568362934t_bool(U_4117),U_4116))
        | ~ hBOOL(hAPP_f54304608l_bool(ord_le1568362934t_bool(hAPP_f800510211t_bool(hAPP_f1722879237t_bool(cOMBC_226598744l_bool,member_nat),U_4117)),hAPP_f800510211t_bool(hAPP_f1722879237t_bool(cOMBC_226598744l_bool,member_nat),U_4116))) ) ),
    inference(variable_rename,[status(thm)],[f_742_1]) ).

fof(f_742_3,plain,
    ( ! [U_4121,U_4119] :
        ( hBOOL(hAPP_f54304608l_bool(ord_le1568362934t_bool(hAPP_f800510211t_bool(hAPP_f1722879237t_bool(cOMBC_226598744l_bool,member_nat),U_4121)),hAPP_f800510211t_bool(hAPP_f1722879237t_bool(cOMBC_226598744l_bool,member_nat),U_4119)))
        | ~ hBOOL(hAPP_f54304608l_bool(ord_le1568362934t_bool(U_4121),U_4119)) )
    & ! [U_4120,U_4118] :
        ( hBOOL(hAPP_f54304608l_bool(ord_le1568362934t_bool(U_4120),U_4118))
        | ~ hBOOL(hAPP_f54304608l_bool(ord_le1568362934t_bool(hAPP_f800510211t_bool(hAPP_f1722879237t_bool(cOMBC_226598744l_bool,member_nat),U_4120)),hAPP_f800510211t_bool(hAPP_f1722879237t_bool(cOMBC_226598744l_bool,member_nat),U_4118))) ) ),
    inference(miniscope,[status(thm)],[f_742_2]) ).

cnf(f_742_4,plain,
    ( hBOOL(hAPP_f54304608l_bool(ord_le1568362934t_bool(U_4120),U_4118))
    | ~ hBOOL(hAPP_f54304608l_bool(ord_le1568362934t_bool(hAPP_f800510211t_bool(hAPP_f1722879237t_bool(cOMBC_226598744l_bool,member_nat),U_4120)),hAPP_f800510211t_bool(hAPP_f1722879237t_bool(cOMBC_226598744l_bool,member_nat),U_4118))) ),
    inference(clausify,[status(thm)],[f_742_3]) ).

cnf(f_742_5,plain,
    ( hBOOL(hAPP_f54304608l_bool(ord_le1568362934t_bool(hAPP_f800510211t_bool(hAPP_f1722879237t_bool(cOMBC_226598744l_bool,member_nat),U_4121)),hAPP_f800510211t_bool(hAPP_f1722879237t_bool(cOMBC_226598744l_bool,member_nat),U_4119)))
    | ~ hBOOL(hAPP_f54304608l_bool(ord_le1568362934t_bool(U_4121),U_4119)) ),
    inference(clausify,[status(thm)],[f_742_3]) ).

fof(f_743_1,plain,
    ! [R_2,S_4] :
      ( ( hBOOL(hAPP_f2106398425l_bool(ord_le640323803r_bool(hAPP_f112056853r_bool(hAPP_f1876889431r_bool(cOMBC_148995234l_bool,member1251428284t_char),R_2)),hAPP_f112056853r_bool(hAPP_f1876889431r_bool(cOMBC_148995234l_bool,member1251428284t_char),S_4)))
        | ~ hBOOL(hAPP_f2106398425l_bool(ord_le640323803r_bool(R_2),S_4)) )
      & ( hBOOL(hAPP_f2106398425l_bool(ord_le640323803r_bool(R_2),S_4))
        | ~ hBOOL(hAPP_f2106398425l_bool(ord_le640323803r_bool(hAPP_f112056853r_bool(hAPP_f1876889431r_bool(cOMBC_148995234l_bool,member1251428284t_char),R_2)),hAPP_f112056853r_bool(hAPP_f1876889431r_bool(cOMBC_148995234l_bool,member1251428284t_char),S_4))) ) ),
    inference(fof_nnf,[status(thm)],[fact_601_pred__subset__eq]) ).

fof(f_743_2,plain,
    ! [U_4123,U_4122] :
      ( ( hBOOL(hAPP_f2106398425l_bool(ord_le640323803r_bool(hAPP_f112056853r_bool(hAPP_f1876889431r_bool(cOMBC_148995234l_bool,member1251428284t_char),U_4123)),hAPP_f112056853r_bool(hAPP_f1876889431r_bool(cOMBC_148995234l_bool,member1251428284t_char),U_4122)))
        | ~ hBOOL(hAPP_f2106398425l_bool(ord_le640323803r_bool(U_4123),U_4122)) )
      & ( hBOOL(hAPP_f2106398425l_bool(ord_le640323803r_bool(U_4123),U_4122))
        | ~ hBOOL(hAPP_f2106398425l_bool(ord_le640323803r_bool(hAPP_f112056853r_bool(hAPP_f1876889431r_bool(cOMBC_148995234l_bool,member1251428284t_char),U_4123)),hAPP_f112056853r_bool(hAPP_f1876889431r_bool(cOMBC_148995234l_bool,member1251428284t_char),U_4122))) ) ),
    inference(variable_rename,[status(thm)],[f_743_1]) ).

fof(f_743_3,plain,
    ( ! [U_4127,U_4125] :
        ( hBOOL(hAPP_f2106398425l_bool(ord_le640323803r_bool(hAPP_f112056853r_bool(hAPP_f1876889431r_bool(cOMBC_148995234l_bool,member1251428284t_char),U_4127)),hAPP_f112056853r_bool(hAPP_f1876889431r_bool(cOMBC_148995234l_bool,member1251428284t_char),U_4125)))
        | ~ hBOOL(hAPP_f2106398425l_bool(ord_le640323803r_bool(U_4127),U_4125)) )
    & ! [U_4126,U_4124] :
        ( hBOOL(hAPP_f2106398425l_bool(ord_le640323803r_bool(U_4126),U_4124))
        | ~ hBOOL(hAPP_f2106398425l_bool(ord_le640323803r_bool(hAPP_f112056853r_bool(hAPP_f1876889431r_bool(cOMBC_148995234l_bool,member1251428284t_char),U_4126)),hAPP_f112056853r_bool(hAPP_f1876889431r_bool(cOMBC_148995234l_bool,member1251428284t_char),U_4124))) ) ),
    inference(miniscope,[status(thm)],[f_743_2]) ).

cnf(f_743_4,plain,
    ( hBOOL(hAPP_f2106398425l_bool(ord_le640323803r_bool(U_4126),U_4124))
    | ~ hBOOL(hAPP_f2106398425l_bool(ord_le640323803r_bool(hAPP_f112056853r_bool(hAPP_f1876889431r_bool(cOMBC_148995234l_bool,member1251428284t_char),U_4126)),hAPP_f112056853r_bool(hAPP_f1876889431r_bool(cOMBC_148995234l_bool,member1251428284t_char),U_4124))) ),
    inference(clausify,[status(thm)],[f_743_3]) ).

cnf(f_743_5,plain,
    ( hBOOL(hAPP_f2106398425l_bool(ord_le640323803r_bool(hAPP_f112056853r_bool(hAPP_f1876889431r_bool(cOMBC_148995234l_bool,member1251428284t_char),U_4127)),hAPP_f112056853r_bool(hAPP_f1876889431r_bool(cOMBC_148995234l_bool,member1251428284t_char),U_4125)))
    | ~ hBOOL(hAPP_f2106398425l_bool(ord_le640323803r_bool(U_4127),U_4125)) ),
    inference(clausify,[status(thm)],[f_743_3]) ).

fof(f_744_1,plain,
    ! [R_2,S_4] :
      ( ( hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(hAPP_f1371002581r_bool(hAPP_f522372661r_bool(cOMBC_892477410l_bool,member_list_char),R_2)),hAPP_f1371002581r_bool(hAPP_f522372661r_bool(cOMBC_892477410l_bool,member_list_char),S_4)))
        | ~ hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(R_2),S_4)) )
      & ( hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(R_2),S_4))
        | ~ hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(hAPP_f1371002581r_bool(hAPP_f522372661r_bool(cOMBC_892477410l_bool,member_list_char),R_2)),hAPP_f1371002581r_bool(hAPP_f522372661r_bool(cOMBC_892477410l_bool,member_list_char),S_4))) ) ),
    inference(fof_nnf,[status(thm)],[fact_602_pred__subset__eq]) ).

fof(f_744_2,plain,
    ! [U_4129,U_4128] :
      ( ( hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(hAPP_f1371002581r_bool(hAPP_f522372661r_bool(cOMBC_892477410l_bool,member_list_char),U_4129)),hAPP_f1371002581r_bool(hAPP_f522372661r_bool(cOMBC_892477410l_bool,member_list_char),U_4128)))
        | ~ hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(U_4129),U_4128)) )
      & ( hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(U_4129),U_4128))
        | ~ hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(hAPP_f1371002581r_bool(hAPP_f522372661r_bool(cOMBC_892477410l_bool,member_list_char),U_4129)),hAPP_f1371002581r_bool(hAPP_f522372661r_bool(cOMBC_892477410l_bool,member_list_char),U_4128))) ) ),
    inference(variable_rename,[status(thm)],[f_744_1]) ).

fof(f_744_3,plain,
    ( ! [U_4133,U_4131] :
        ( hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(hAPP_f1371002581r_bool(hAPP_f522372661r_bool(cOMBC_892477410l_bool,member_list_char),U_4133)),hAPP_f1371002581r_bool(hAPP_f522372661r_bool(cOMBC_892477410l_bool,member_list_char),U_4131)))
        | ~ hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(U_4133),U_4131)) )
    & ! [U_4132,U_4130] :
        ( hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(U_4132),U_4130))
        | ~ hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(hAPP_f1371002581r_bool(hAPP_f522372661r_bool(cOMBC_892477410l_bool,member_list_char),U_4132)),hAPP_f1371002581r_bool(hAPP_f522372661r_bool(cOMBC_892477410l_bool,member_list_char),U_4130))) ) ),
    inference(miniscope,[status(thm)],[f_744_2]) ).

cnf(f_744_4,plain,
    ( hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(U_4132),U_4130))
    | ~ hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(hAPP_f1371002581r_bool(hAPP_f522372661r_bool(cOMBC_892477410l_bool,member_list_char),U_4132)),hAPP_f1371002581r_bool(hAPP_f522372661r_bool(cOMBC_892477410l_bool,member_list_char),U_4130))) ),
    inference(clausify,[status(thm)],[f_744_3]) ).

cnf(f_744_5,plain,
    ( hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(hAPP_f1371002581r_bool(hAPP_f522372661r_bool(cOMBC_892477410l_bool,member_list_char),U_4133)),hAPP_f1371002581r_bool(hAPP_f522372661r_bool(cOMBC_892477410l_bool,member_list_char),U_4131)))
    | ~ hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(U_4133),U_4131)) ),
    inference(clausify,[status(thm)],[f_744_3]) ).

fof(f_745_1,plain,
    ! [R_2,S_4] :
      ( ( hBOOL(hAPP_f1453283057l_bool(ord_le1776148979l_bool(hAPP_f2036784149l_bool(hAPP_f1720452391l_bool(cOMBC_1021753250l_bool,member773094996on_val),R_2)),hAPP_f2036784149l_bool(hAPP_f1720452391l_bool(cOMBC_1021753250l_bool,member773094996on_val),S_4)))
        | ~ hBOOL(hAPP_f1453283057l_bool(ord_le1776148979l_bool(R_2),S_4)) )
      & ( hBOOL(hAPP_f1453283057l_bool(ord_le1776148979l_bool(R_2),S_4))
        | ~ hBOOL(hAPP_f1453283057l_bool(ord_le1776148979l_bool(hAPP_f2036784149l_bool(hAPP_f1720452391l_bool(cOMBC_1021753250l_bool,member773094996on_val),R_2)),hAPP_f2036784149l_bool(hAPP_f1720452391l_bool(cOMBC_1021753250l_bool,member773094996on_val),S_4))) ) ),
    inference(fof_nnf,[status(thm)],[fact_603_pred__subset__eq]) ).

fof(f_745_2,plain,
    ! [U_4135,U_4134] :
      ( ( hBOOL(hAPP_f1453283057l_bool(ord_le1776148979l_bool(hAPP_f2036784149l_bool(hAPP_f1720452391l_bool(cOMBC_1021753250l_bool,member773094996on_val),U_4135)),hAPP_f2036784149l_bool(hAPP_f1720452391l_bool(cOMBC_1021753250l_bool,member773094996on_val),U_4134)))
        | ~ hBOOL(hAPP_f1453283057l_bool(ord_le1776148979l_bool(U_4135),U_4134)) )
      & ( hBOOL(hAPP_f1453283057l_bool(ord_le1776148979l_bool(U_4135),U_4134))
        | ~ hBOOL(hAPP_f1453283057l_bool(ord_le1776148979l_bool(hAPP_f2036784149l_bool(hAPP_f1720452391l_bool(cOMBC_1021753250l_bool,member773094996on_val),U_4135)),hAPP_f2036784149l_bool(hAPP_f1720452391l_bool(cOMBC_1021753250l_bool,member773094996on_val),U_4134))) ) ),
    inference(variable_rename,[status(thm)],[f_745_1]) ).

fof(f_745_3,plain,
    ( ! [U_4139,U_4137] :
        ( hBOOL(hAPP_f1453283057l_bool(ord_le1776148979l_bool(hAPP_f2036784149l_bool(hAPP_f1720452391l_bool(cOMBC_1021753250l_bool,member773094996on_val),U_4139)),hAPP_f2036784149l_bool(hAPP_f1720452391l_bool(cOMBC_1021753250l_bool,member773094996on_val),U_4137)))
        | ~ hBOOL(hAPP_f1453283057l_bool(ord_le1776148979l_bool(U_4139),U_4137)) )
    & ! [U_4138,U_4136] :
        ( hBOOL(hAPP_f1453283057l_bool(ord_le1776148979l_bool(U_4138),U_4136))
        | ~ hBOOL(hAPP_f1453283057l_bool(ord_le1776148979l_bool(hAPP_f2036784149l_bool(hAPP_f1720452391l_bool(cOMBC_1021753250l_bool,member773094996on_val),U_4138)),hAPP_f2036784149l_bool(hAPP_f1720452391l_bool(cOMBC_1021753250l_bool,member773094996on_val),U_4136))) ) ),
    inference(miniscope,[status(thm)],[f_745_2]) ).

cnf(f_745_4,plain,
    ( hBOOL(hAPP_f1453283057l_bool(ord_le1776148979l_bool(U_4138),U_4136))
    | ~ hBOOL(hAPP_f1453283057l_bool(ord_le1776148979l_bool(hAPP_f2036784149l_bool(hAPP_f1720452391l_bool(cOMBC_1021753250l_bool,member773094996on_val),U_4138)),hAPP_f2036784149l_bool(hAPP_f1720452391l_bool(cOMBC_1021753250l_bool,member773094996on_val),U_4136))) ),
    inference(clausify,[status(thm)],[f_745_3]) ).

cnf(f_745_5,plain,
    ( hBOOL(hAPP_f1453283057l_bool(ord_le1776148979l_bool(hAPP_f2036784149l_bool(hAPP_f1720452391l_bool(cOMBC_1021753250l_bool,member773094996on_val),U_4139)),hAPP_f2036784149l_bool(hAPP_f1720452391l_bool(cOMBC_1021753250l_bool,member773094996on_val),U_4137)))
    | ~ hBOOL(hAPP_f1453283057l_bool(ord_le1776148979l_bool(U_4139),U_4137)) ),
    inference(clausify,[status(thm)],[f_745_3]) ).

fof(f_746_1,plain,
    ! [A_5] : none_nat != hAPP_nat_option_nat(some_nat,A_5),
    inference(fof_nnf,[status(thm)],[fact_604_option_Osimps_I2_J]) ).

fof(f_746_2,plain,
    ! [U_4140] : none_nat != hAPP_nat_option_nat(some_nat,U_4140),
    inference(variable_rename,[status(thm)],[f_746_1]) ).

cnf(f_746_3,plain,
    none_nat != hAPP_nat_option_nat(some_nat,U_4140),
    inference(clausify,[status(thm)],[f_746_2]) ).

fof(f_747_1,plain,
    ! [A_5] : none_ty != hAPP_ty_option_ty(some_ty,A_5),
    inference(fof_nnf,[status(thm)],[fact_605_option_Osimps_I2_J]) ).

fof(f_747_2,plain,
    ! [U_4141] : none_ty != hAPP_ty_option_ty(some_ty,U_4141),
    inference(variable_rename,[status(thm)],[f_747_1]) ).

cnf(f_747_3,plain,
    none_ty != hAPP_ty_option_ty(some_ty,U_4141),
    inference(clausify,[status(thm)],[f_747_2]) ).

fof(f_748_1,plain,
    ! [A_3] : none_P179726773on_val != hAPP_P1510515380on_val(some_P948696889on_val,A_3),
    inference(fof_nnf,[status(thm)],[fact_606_option_Osimps_I2_J]) ).

fof(f_748_2,plain,
    ! [U_4142] : none_P179726773on_val != hAPP_P1510515380on_val(some_P948696889on_val,U_4142),
    inference(variable_rename,[status(thm)],[f_748_1]) ).

cnf(f_748_3,plain,
    none_P179726773on_val != hAPP_P1510515380on_val(some_P948696889on_val,U_4142),
    inference(clausify,[status(thm)],[f_748_2]) ).

fof(f_749_1,plain,
    ! [A_5] : none_val != hAPP_val_option_val(some_val,A_5),
    inference(fof_nnf,[status(thm)],[fact_607_option_Osimps_I2_J]) ).

fof(f_749_2,plain,
    ! [U_4143] : none_val != hAPP_val_option_val(some_val,U_4143),
    inference(variable_rename,[status(thm)],[f_749_1]) ).

cnf(f_749_3,plain,
    none_val != hAPP_val_option_val(some_val,U_4143),
    inference(clausify,[status(thm)],[f_749_2]) ).

fof(f_750_1,plain,
    ! [A_3] : none_f478147469r_bool != hAPP_f363827556r_bool(some_f80346385r_bool,A_3),
    inference(fof_nnf,[status(thm)],[fact_608_option_Osimps_I2_J]) ).

fof(f_750_2,plain,
    ! [U_4144] : none_f478147469r_bool != hAPP_f363827556r_bool(some_f80346385r_bool,U_4144),
    inference(variable_rename,[status(thm)],[f_750_1]) ).

cnf(f_750_3,plain,
    none_f478147469r_bool != hAPP_f363827556r_bool(some_f80346385r_bool,U_4144),
    inference(clausify,[status(thm)],[f_750_2]) ).

fof(f_751_1,plain,
    ! [A_4] : hAPP_nat_option_nat(some_nat,A_4) != none_nat,
    inference(fof_nnf,[status(thm)],[fact_609_option_Osimps_I3_J]) ).

fof(f_751_2,plain,
    ! [U_4145] : hAPP_nat_option_nat(some_nat,U_4145) != none_nat,
    inference(variable_rename,[status(thm)],[f_751_1]) ).

cnf(f_751_3,plain,
    hAPP_nat_option_nat(some_nat,U_4145) != none_nat,
    inference(clausify,[status(thm)],[f_751_2]) ).

fof(f_752_1,plain,
    ! [A_4] : hAPP_ty_option_ty(some_ty,A_4) != none_ty,
    inference(fof_nnf,[status(thm)],[fact_610_option_Osimps_I3_J]) ).

fof(f_752_2,plain,
    ! [U_4146] : hAPP_ty_option_ty(some_ty,U_4146) != none_ty,
    inference(variable_rename,[status(thm)],[f_752_1]) ).

cnf(f_752_3,plain,
    hAPP_ty_option_ty(some_ty,U_4146) != none_ty,
    inference(clausify,[status(thm)],[f_752_2]) ).

fof(f_753_1,plain,
    ! [A_3] : hAPP_P1510515380on_val(some_P948696889on_val,A_3) != none_P179726773on_val,
    inference(fof_nnf,[status(thm)],[fact_611_option_Osimps_I3_J]) ).

fof(f_753_2,plain,
    ! [U_4147] : hAPP_P1510515380on_val(some_P948696889on_val,U_4147) != none_P179726773on_val,
    inference(variable_rename,[status(thm)],[f_753_1]) ).

cnf(f_753_3,plain,
    hAPP_P1510515380on_val(some_P948696889on_val,U_4147) != none_P179726773on_val,
    inference(clausify,[status(thm)],[f_753_2]) ).

fof(f_754_1,plain,
    ! [A_4] : hAPP_val_option_val(some_val,A_4) != none_val,
    inference(fof_nnf,[status(thm)],[fact_612_option_Osimps_I3_J]) ).

fof(f_754_2,plain,
    ! [U_4148] : hAPP_val_option_val(some_val,U_4148) != none_val,
    inference(variable_rename,[status(thm)],[f_754_1]) ).

cnf(f_754_3,plain,
    hAPP_val_option_val(some_val,U_4148) != none_val,
    inference(clausify,[status(thm)],[f_754_2]) ).

fof(f_755_1,plain,
    ! [A_3] : hAPP_f363827556r_bool(some_f80346385r_bool,A_3) != none_f478147469r_bool,
    inference(fof_nnf,[status(thm)],[fact_613_option_Osimps_I3_J]) ).

fof(f_755_2,plain,
    ! [U_4149] : hAPP_f363827556r_bool(some_f80346385r_bool,U_4149) != none_f478147469r_bool,
    inference(variable_rename,[status(thm)],[f_755_1]) ).

cnf(f_755_3,plain,
    hAPP_f363827556r_bool(some_f80346385r_bool,U_4149) != none_f478147469r_bool,
    inference(clausify,[status(thm)],[f_755_2]) ).

fof(f_756_1,plain,
    ! [X_2] :
      ( ( ! [Y_1] : X_2 != hAPP_nat_option_nat(some_nat,Y_1)
        | X_2 != none_nat )
      & ( X_2 = none_nat
        | ? [Y_1] : X_2 = hAPP_nat_option_nat(some_nat,Y_1) ) ),
    inference(fof_nnf,[status(thm)],[fact_614_not__Some__eq]) ).

fof(f_756_2,plain,
    ! [U_4152] :
      ( ( ! [U_4151] : U_4152 != hAPP_nat_option_nat(some_nat,U_4151)
        | U_4152 != none_nat )
      & ( U_4152 = none_nat
        | ? [U_4150] : U_4152 = hAPP_nat_option_nat(some_nat,U_4150) ) ),
    inference(variable_rename,[status(thm)],[f_756_1]) ).

fof(f_756_3,plain,
    ( ! [U_4154] :
        ( ! [U_4151] : U_4154 != hAPP_nat_option_nat(some_nat,U_4151)
        | U_4154 != none_nat )
    & ! [U_4153] :
        ( U_4153 = none_nat
        | ? [U_4150] : U_4153 = hAPP_nat_option_nat(some_nat,U_4150) ) ),
    inference(miniscope,[status(thm)],[f_756_2]) ).

fof(f_756_4,plain,
    ( ! [U_4154] :
        ( ! [U_4151] : U_4154 != hAPP_nat_option_nat(some_nat,U_4151)
        | U_4154 != none_nat )
    & ! [U_4153] :
        ( U_4153 = none_nat
        | U_4153 = hAPP_nat_option_nat(some_nat,sK732(U_4153)) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK732]),skolemize(U_4150,sK732(U_4153))],[f_756_3]) ).

cnf(f_756_5,plain,
    ( U_4153 = none_nat
    | U_4153 = hAPP_nat_option_nat(some_nat,sK732(U_4153)) ),
    inference(clausify,[status(thm)],[f_756_4]) ).

cnf(f_756_6,plain,
    ( U_4154 != hAPP_nat_option_nat(some_nat,U_4151)
    | U_4154 != none_nat ),
    inference(clausify,[status(thm)],[f_756_4]) ).

fof(f_757_1,plain,
    ! [X_2] :
      ( ( ! [Y_1] : X_2 != hAPP_ty_option_ty(some_ty,Y_1)
        | X_2 != none_ty )
      & ( X_2 = none_ty
        | ? [Y_1] : X_2 = hAPP_ty_option_ty(some_ty,Y_1) ) ),
    inference(fof_nnf,[status(thm)],[fact_615_not__Some__eq]) ).

fof(f_757_2,plain,
    ! [U_4157] :
      ( ( ! [U_4156] : U_4157 != hAPP_ty_option_ty(some_ty,U_4156)
        | U_4157 != none_ty )
      & ( U_4157 = none_ty
        | ? [U_4155] : U_4157 = hAPP_ty_option_ty(some_ty,U_4155) ) ),
    inference(variable_rename,[status(thm)],[f_757_1]) ).

fof(f_757_3,plain,
    ( ! [U_4159] :
        ( ! [U_4156] : U_4159 != hAPP_ty_option_ty(some_ty,U_4156)
        | U_4159 != none_ty )
    & ! [U_4158] :
        ( U_4158 = none_ty
        | ? [U_4155] : U_4158 = hAPP_ty_option_ty(some_ty,U_4155) ) ),
    inference(miniscope,[status(thm)],[f_757_2]) ).

fof(f_757_4,plain,
    ( ! [U_4159] :
        ( ! [U_4156] : U_4159 != hAPP_ty_option_ty(some_ty,U_4156)
        | U_4159 != none_ty )
    & ! [U_4158] :
        ( U_4158 = none_ty
        | U_4158 = hAPP_ty_option_ty(some_ty,sK733(U_4158)) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK733]),skolemize(U_4155,sK733(U_4158))],[f_757_3]) ).

cnf(f_757_5,plain,
    ( U_4158 = none_ty
    | U_4158 = hAPP_ty_option_ty(some_ty,sK733(U_4158)) ),
    inference(clausify,[status(thm)],[f_757_4]) ).

cnf(f_757_6,plain,
    ( U_4159 != hAPP_ty_option_ty(some_ty,U_4156)
    | U_4159 != none_ty ),
    inference(clausify,[status(thm)],[f_757_4]) ).

fof(f_758_1,plain,
    ! [X_2] :
      ( ( ! [Y_1] : X_2 != hAPP_P1510515380on_val(some_P948696889on_val,Y_1)
        | X_2 != none_P179726773on_val )
      & ( X_2 = none_P179726773on_val
        | ? [Y_1] : X_2 = hAPP_P1510515380on_val(some_P948696889on_val,Y_1) ) ),
    inference(fof_nnf,[status(thm)],[fact_616_not__Some__eq]) ).

fof(f_758_2,plain,
    ! [U_4162] :
      ( ( ! [U_4161] : U_4162 != hAPP_P1510515380on_val(some_P948696889on_val,U_4161)
        | U_4162 != none_P179726773on_val )
      & ( U_4162 = none_P179726773on_val
        | ? [U_4160] : U_4162 = hAPP_P1510515380on_val(some_P948696889on_val,U_4160) ) ),
    inference(variable_rename,[status(thm)],[f_758_1]) ).

fof(f_758_3,plain,
    ( ! [U_4164] :
        ( ! [U_4161] : U_4164 != hAPP_P1510515380on_val(some_P948696889on_val,U_4161)
        | U_4164 != none_P179726773on_val )
    & ! [U_4163] :
        ( U_4163 = none_P179726773on_val
        | ? [U_4160] : U_4163 = hAPP_P1510515380on_val(some_P948696889on_val,U_4160) ) ),
    inference(miniscope,[status(thm)],[f_758_2]) ).

fof(f_758_4,plain,
    ( ! [U_4164] :
        ( ! [U_4161] : U_4164 != hAPP_P1510515380on_val(some_P948696889on_val,U_4161)
        | U_4164 != none_P179726773on_val )
    & ! [U_4163] :
        ( U_4163 = none_P179726773on_val
        | U_4163 = hAPP_P1510515380on_val(some_P948696889on_val,sK734(U_4163)) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK734]),skolemize(U_4160,sK734(U_4163))],[f_758_3]) ).

cnf(f_758_5,plain,
    ( U_4163 = none_P179726773on_val
    | U_4163 = hAPP_P1510515380on_val(some_P948696889on_val,sK734(U_4163)) ),
    inference(clausify,[status(thm)],[f_758_4]) ).

cnf(f_758_6,plain,
    ( U_4164 != hAPP_P1510515380on_val(some_P948696889on_val,U_4161)
    | U_4164 != none_P179726773on_val ),
    inference(clausify,[status(thm)],[f_758_4]) ).

fof(f_759_1,plain,
    ! [X_2] :
      ( ( ! [Y_1] : X_2 != hAPP_val_option_val(some_val,Y_1)
        | X_2 != none_val )
      & ( X_2 = none_val
        | ? [Y_1] : X_2 = hAPP_val_option_val(some_val,Y_1) ) ),
    inference(fof_nnf,[status(thm)],[fact_617_not__Some__eq]) ).

fof(f_759_2,plain,
    ! [U_4167] :
      ( ( ! [U_4166] : U_4167 != hAPP_val_option_val(some_val,U_4166)
        | U_4167 != none_val )
      & ( U_4167 = none_val
        | ? [U_4165] : U_4167 = hAPP_val_option_val(some_val,U_4165) ) ),
    inference(variable_rename,[status(thm)],[f_759_1]) ).

fof(f_759_3,plain,
    ( ! [U_4169] :
        ( ! [U_4166] : U_4169 != hAPP_val_option_val(some_val,U_4166)
        | U_4169 != none_val )
    & ! [U_4168] :
        ( U_4168 = none_val
        | ? [U_4165] : U_4168 = hAPP_val_option_val(some_val,U_4165) ) ),
    inference(miniscope,[status(thm)],[f_759_2]) ).

fof(f_759_4,plain,
    ( ! [U_4169] :
        ( ! [U_4166] : U_4169 != hAPP_val_option_val(some_val,U_4166)
        | U_4169 != none_val )
    & ! [U_4168] :
        ( U_4168 = none_val
        | U_4168 = hAPP_val_option_val(some_val,sK735(U_4168)) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK735]),skolemize(U_4165,sK735(U_4168))],[f_759_3]) ).

cnf(f_759_5,plain,
    ( U_4168 = none_val
    | U_4168 = hAPP_val_option_val(some_val,sK735(U_4168)) ),
    inference(clausify,[status(thm)],[f_759_4]) ).

cnf(f_759_6,plain,
    ( U_4169 != hAPP_val_option_val(some_val,U_4166)
    | U_4169 != none_val ),
    inference(clausify,[status(thm)],[f_759_4]) ).

fof(f_760_1,plain,
    ! [X_2] :
      ( ( ! [Y_1] : X_2 != hAPP_f363827556r_bool(some_f80346385r_bool,Y_1)
        | X_2 != none_f478147469r_bool )
      & ( X_2 = none_f478147469r_bool
        | ? [Y_1] : X_2 = hAPP_f363827556r_bool(some_f80346385r_bool,Y_1) ) ),
    inference(fof_nnf,[status(thm)],[fact_618_not__Some__eq]) ).

fof(f_760_2,plain,
    ! [U_4172] :
      ( ( ! [U_4171] : U_4172 != hAPP_f363827556r_bool(some_f80346385r_bool,U_4171)
        | U_4172 != none_f478147469r_bool )
      & ( U_4172 = none_f478147469r_bool
        | ? [U_4170] : U_4172 = hAPP_f363827556r_bool(some_f80346385r_bool,U_4170) ) ),
    inference(variable_rename,[status(thm)],[f_760_1]) ).

fof(f_760_3,plain,
    ( ! [U_4174] :
        ( ! [U_4171] : U_4174 != hAPP_f363827556r_bool(some_f80346385r_bool,U_4171)
        | U_4174 != none_f478147469r_bool )
    & ! [U_4173] :
        ( U_4173 = none_f478147469r_bool
        | ? [U_4170] : U_4173 = hAPP_f363827556r_bool(some_f80346385r_bool,U_4170) ) ),
    inference(miniscope,[status(thm)],[f_760_2]) ).

fof(f_760_4,plain,
    ( ! [U_4174] :
        ( ! [U_4171] : U_4174 != hAPP_f363827556r_bool(some_f80346385r_bool,U_4171)
        | U_4174 != none_f478147469r_bool )
    & ! [U_4173] :
        ( U_4173 = none_f478147469r_bool
        | U_4173 = hAPP_f363827556r_bool(some_f80346385r_bool,sK736(U_4173)) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK736]),skolemize(U_4170,sK736(U_4173))],[f_760_3]) ).

cnf(f_760_5,plain,
    ( U_4173 = none_f478147469r_bool
    | U_4173 = hAPP_f363827556r_bool(some_f80346385r_bool,sK736(U_4173)) ),
    inference(clausify,[status(thm)],[f_760_4]) ).

cnf(f_760_6,plain,
    ( U_4174 != hAPP_f363827556r_bool(some_f80346385r_bool,U_4171)
    | U_4174 != none_f478147469r_bool ),
    inference(clausify,[status(thm)],[f_760_4]) ).

fof(f_761_1,plain,
    ! [X_2] :
      ( ( X_2 != none_nat
        | ! [Y_1] : X_2 != hAPP_nat_option_nat(some_nat,Y_1) )
      & ( ? [Y_1] : X_2 = hAPP_nat_option_nat(some_nat,Y_1)
        | X_2 = none_nat ) ),
    inference(fof_nnf,[status(thm)],[fact_619_not__None__eq]) ).

fof(f_761_2,plain,
    ! [U_4177] :
      ( ( U_4177 != none_nat
        | ! [U_4176] : U_4177 != hAPP_nat_option_nat(some_nat,U_4176) )
      & ( ? [U_4175] : U_4177 = hAPP_nat_option_nat(some_nat,U_4175)
        | U_4177 = none_nat ) ),
    inference(variable_rename,[status(thm)],[f_761_1]) ).

fof(f_761_3,plain,
    ( ! [U_4179] :
        ( U_4179 != none_nat
        | ! [U_4176] : U_4179 != hAPP_nat_option_nat(some_nat,U_4176) )
    & ! [U_4178] :
        ( ? [U_4175] : U_4178 = hAPP_nat_option_nat(some_nat,U_4175)
        | U_4178 = none_nat ) ),
    inference(miniscope,[status(thm)],[f_761_2]) ).

fof(f_761_4,plain,
    ( ! [U_4179] :
        ( U_4179 != none_nat
        | ! [U_4176] : U_4179 != hAPP_nat_option_nat(some_nat,U_4176) )
    & ! [U_4178] :
        ( U_4178 = hAPP_nat_option_nat(some_nat,sK737(U_4178))
        | U_4178 = none_nat ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK737]),skolemize(U_4175,sK737(U_4178))],[f_761_3]) ).

cnf(f_761_5,plain,
    ( U_4178 = hAPP_nat_option_nat(some_nat,sK737(U_4178))
    | U_4178 = none_nat ),
    inference(clausify,[status(thm)],[f_761_4]) ).

cnf(f_761_6,plain,
    ( U_4179 != none_nat
    | U_4179 != hAPP_nat_option_nat(some_nat,U_4176) ),
    inference(clausify,[status(thm)],[f_761_4]) ).

fof(f_762_1,plain,
    ! [X_2] :
      ( ( X_2 != none_ty
        | ! [Y_1] : X_2 != hAPP_ty_option_ty(some_ty,Y_1) )
      & ( ? [Y_1] : X_2 = hAPP_ty_option_ty(some_ty,Y_1)
        | X_2 = none_ty ) ),
    inference(fof_nnf,[status(thm)],[fact_620_not__None__eq]) ).

fof(f_762_2,plain,
    ! [U_4182] :
      ( ( U_4182 != none_ty
        | ! [U_4181] : U_4182 != hAPP_ty_option_ty(some_ty,U_4181) )
      & ( ? [U_4180] : U_4182 = hAPP_ty_option_ty(some_ty,U_4180)
        | U_4182 = none_ty ) ),
    inference(variable_rename,[status(thm)],[f_762_1]) ).

fof(f_762_3,plain,
    ( ! [U_4184] :
        ( U_4184 != none_ty
        | ! [U_4181] : U_4184 != hAPP_ty_option_ty(some_ty,U_4181) )
    & ! [U_4183] :
        ( ? [U_4180] : U_4183 = hAPP_ty_option_ty(some_ty,U_4180)
        | U_4183 = none_ty ) ),
    inference(miniscope,[status(thm)],[f_762_2]) ).

fof(f_762_4,plain,
    ( ! [U_4184] :
        ( U_4184 != none_ty
        | ! [U_4181] : U_4184 != hAPP_ty_option_ty(some_ty,U_4181) )
    & ! [U_4183] :
        ( U_4183 = hAPP_ty_option_ty(some_ty,sK738(U_4183))
        | U_4183 = none_ty ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK738]),skolemize(U_4180,sK738(U_4183))],[f_762_3]) ).

cnf(f_762_5,plain,
    ( U_4183 = hAPP_ty_option_ty(some_ty,sK738(U_4183))
    | U_4183 = none_ty ),
    inference(clausify,[status(thm)],[f_762_4]) ).

cnf(f_762_6,plain,
    ( U_4184 != none_ty
    | U_4184 != hAPP_ty_option_ty(some_ty,U_4181) ),
    inference(clausify,[status(thm)],[f_762_4]) ).

fof(f_763_1,plain,
    ! [X_2] :
      ( ( X_2 != none_P179726773on_val
        | ! [Y_1] : X_2 != hAPP_P1510515380on_val(some_P948696889on_val,Y_1) )
      & ( ? [Y_1] : X_2 = hAPP_P1510515380on_val(some_P948696889on_val,Y_1)
        | X_2 = none_P179726773on_val ) ),
    inference(fof_nnf,[status(thm)],[fact_621_not__None__eq]) ).

fof(f_763_2,plain,
    ! [U_4187] :
      ( ( U_4187 != none_P179726773on_val
        | ! [U_4186] : U_4187 != hAPP_P1510515380on_val(some_P948696889on_val,U_4186) )
      & ( ? [U_4185] : U_4187 = hAPP_P1510515380on_val(some_P948696889on_val,U_4185)
        | U_4187 = none_P179726773on_val ) ),
    inference(variable_rename,[status(thm)],[f_763_1]) ).

fof(f_763_3,plain,
    ( ! [U_4189] :
        ( U_4189 != none_P179726773on_val
        | ! [U_4186] : U_4189 != hAPP_P1510515380on_val(some_P948696889on_val,U_4186) )
    & ! [U_4188] :
        ( ? [U_4185] : U_4188 = hAPP_P1510515380on_val(some_P948696889on_val,U_4185)
        | U_4188 = none_P179726773on_val ) ),
    inference(miniscope,[status(thm)],[f_763_2]) ).

fof(f_763_4,plain,
    ( ! [U_4189] :
        ( U_4189 != none_P179726773on_val
        | ! [U_4186] : U_4189 != hAPP_P1510515380on_val(some_P948696889on_val,U_4186) )
    & ! [U_4188] :
        ( U_4188 = hAPP_P1510515380on_val(some_P948696889on_val,sK739(U_4188))
        | U_4188 = none_P179726773on_val ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK739]),skolemize(U_4185,sK739(U_4188))],[f_763_3]) ).

cnf(f_763_5,plain,
    ( U_4188 = hAPP_P1510515380on_val(some_P948696889on_val,sK739(U_4188))
    | U_4188 = none_P179726773on_val ),
    inference(clausify,[status(thm)],[f_763_4]) ).

cnf(f_763_6,plain,
    ( U_4189 != none_P179726773on_val
    | U_4189 != hAPP_P1510515380on_val(some_P948696889on_val,U_4186) ),
    inference(clausify,[status(thm)],[f_763_4]) ).

fof(f_764_1,plain,
    ! [X_2] :
      ( ( X_2 != none_val
        | ! [Y_1] : X_2 != hAPP_val_option_val(some_val,Y_1) )
      & ( ? [Y_1] : X_2 = hAPP_val_option_val(some_val,Y_1)
        | X_2 = none_val ) ),
    inference(fof_nnf,[status(thm)],[fact_622_not__None__eq]) ).

fof(f_764_2,plain,
    ! [U_4192] :
      ( ( U_4192 != none_val
        | ! [U_4191] : U_4192 != hAPP_val_option_val(some_val,U_4191) )
      & ( ? [U_4190] : U_4192 = hAPP_val_option_val(some_val,U_4190)
        | U_4192 = none_val ) ),
    inference(variable_rename,[status(thm)],[f_764_1]) ).

fof(f_764_3,plain,
    ( ! [U_4194] :
        ( U_4194 != none_val
        | ! [U_4191] : U_4194 != hAPP_val_option_val(some_val,U_4191) )
    & ! [U_4193] :
        ( ? [U_4190] : U_4193 = hAPP_val_option_val(some_val,U_4190)
        | U_4193 = none_val ) ),
    inference(miniscope,[status(thm)],[f_764_2]) ).

fof(f_764_4,plain,
    ( ! [U_4194] :
        ( U_4194 != none_val
        | ! [U_4191] : U_4194 != hAPP_val_option_val(some_val,U_4191) )
    & ! [U_4193] :
        ( U_4193 = hAPP_val_option_val(some_val,sK740(U_4193))
        | U_4193 = none_val ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK740]),skolemize(U_4190,sK740(U_4193))],[f_764_3]) ).

cnf(f_764_5,plain,
    ( U_4193 = hAPP_val_option_val(some_val,sK740(U_4193))
    | U_4193 = none_val ),
    inference(clausify,[status(thm)],[f_764_4]) ).

cnf(f_764_6,plain,
    ( U_4194 != none_val
    | U_4194 != hAPP_val_option_val(some_val,U_4191) ),
    inference(clausify,[status(thm)],[f_764_4]) ).

fof(f_765_1,plain,
    ! [X_2] :
      ( ( X_2 != none_f478147469r_bool
        | ! [Y_1] : X_2 != hAPP_f363827556r_bool(some_f80346385r_bool,Y_1) )
      & ( ? [Y_1] : X_2 = hAPP_f363827556r_bool(some_f80346385r_bool,Y_1)
        | X_2 = none_f478147469r_bool ) ),
    inference(fof_nnf,[status(thm)],[fact_623_not__None__eq]) ).

fof(f_765_2,plain,
    ! [U_4197] :
      ( ( U_4197 != none_f478147469r_bool
        | ! [U_4196] : U_4197 != hAPP_f363827556r_bool(some_f80346385r_bool,U_4196) )
      & ( ? [U_4195] : U_4197 = hAPP_f363827556r_bool(some_f80346385r_bool,U_4195)
        | U_4197 = none_f478147469r_bool ) ),
    inference(variable_rename,[status(thm)],[f_765_1]) ).

fof(f_765_3,plain,
    ( ! [U_4199] :
        ( U_4199 != none_f478147469r_bool
        | ! [U_4196] : U_4199 != hAPP_f363827556r_bool(some_f80346385r_bool,U_4196) )
    & ! [U_4198] :
        ( ? [U_4195] : U_4198 = hAPP_f363827556r_bool(some_f80346385r_bool,U_4195)
        | U_4198 = none_f478147469r_bool ) ),
    inference(miniscope,[status(thm)],[f_765_2]) ).

fof(f_765_4,plain,
    ( ! [U_4199] :
        ( U_4199 != none_f478147469r_bool
        | ! [U_4196] : U_4199 != hAPP_f363827556r_bool(some_f80346385r_bool,U_4196) )
    & ! [U_4198] :
        ( U_4198 = hAPP_f363827556r_bool(some_f80346385r_bool,sK741(U_4198))
        | U_4198 = none_f478147469r_bool ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK741]),skolemize(U_4195,sK741(U_4198))],[f_765_3]) ).

cnf(f_765_5,plain,
    ( U_4198 = hAPP_f363827556r_bool(some_f80346385r_bool,sK741(U_4198))
    | U_4198 = none_f478147469r_bool ),
    inference(clausify,[status(thm)],[f_765_4]) ).

cnf(f_765_6,plain,
    ( U_4199 != none_f478147469r_bool
    | U_4199 != hAPP_f363827556r_bool(some_f80346385r_bool,U_4196) ),
    inference(clausify,[status(thm)],[f_765_4]) ).

fof(f_766_1,plain,
    ! [Va_1,Pa,Eb,S,E_b,S_2] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,lAss_list_char(Va_1,Eb),S),lAss_list_char(Va_1,E_b)),S_2))
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Eb,S),E_b),S_2)) ),
    inference(fof_nnf,[status(thm)],[fact_624_redp__redsp_OLAssRed]) ).

fof(f_766_2,plain,
    ! [U_4205,U_4204,U_4203,U_4202,U_4201,U_4200] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(U_4204,lAss_list_char(U_4205,U_4203),U_4202),lAss_list_char(U_4205,U_4201)),U_4200))
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(U_4204,U_4203,U_4202),U_4201),U_4200)) ),
    inference(variable_rename,[status(thm)],[f_766_1]) ).

cnf(f_766_3,plain,
    ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(U_4204,lAss_list_char(U_4205,U_4203),U_4202),lAss_list_char(U_4205,U_4201)),U_4200))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(U_4204,U_4203,U_4202),U_4201),U_4200)) ),
    inference(clausify,[status(thm)],[f_766_2]) ).

fof(f_767_1,plain,
    ! [E_2,Pa,Eb,S,E_b,S_2] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,seq_list_char(Eb,E_2),S),seq_list_char(E_b,E_2)),S_2))
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Eb,S),E_b),S_2)) ),
    inference(fof_nnf,[status(thm)],[fact_625_redp__redsp_OSeqRed]) ).

fof(f_767_2,plain,
    ! [U_4211,U_4210,U_4209,U_4208,U_4207,U_4206] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(U_4210,seq_list_char(U_4209,U_4211),U_4208),seq_list_char(U_4207,U_4211)),U_4206))
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(U_4210,U_4209,U_4208),U_4207),U_4206)) ),
    inference(variable_rename,[status(thm)],[f_767_1]) ).

cnf(f_767_3,plain,
    ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(U_4210,seq_list_char(U_4209,U_4211),U_4208),seq_list_char(U_4207,U_4211)),U_4206))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(U_4210,U_4209,U_4208),U_4207),U_4206)) ),
    inference(clausify,[status(thm)],[f_767_2]) ).

fof(f_768_1,plain,
    ! [M_1] : dom_na996029170on_val(M_1) = collect_nat(hAPP_f800510211t_bool(hAPP_f894608603t_bool(cOMBB_bool_bool_nat,fNot),hAPP_o1566711458t_bool(hAPP_f489569861t_bool(cOMBC_229530231l_bool,hAPP_f1677329295l_bool(hAPP_f1611569977l_bool(cOMBB_731867268ol_nat,fequal1937332960on_val),M_1)),none_P179726773on_val))),
    inference(fof_nnf,[status(thm)],[fact_626_dom__def]) ).

fof(f_768_2,plain,
    ! [U_4212] : dom_na996029170on_val(U_4212) = collect_nat(hAPP_f800510211t_bool(hAPP_f894608603t_bool(cOMBB_bool_bool_nat,fNot),hAPP_o1566711458t_bool(hAPP_f489569861t_bool(cOMBC_229530231l_bool,hAPP_f1677329295l_bool(hAPP_f1611569977l_bool(cOMBB_731867268ol_nat,fequal1937332960on_val),U_4212)),none_P179726773on_val))),
    inference(variable_rename,[status(thm)],[f_768_1]) ).

cnf(f_768_3,plain,
    dom_na996029170on_val(U_4212) = collect_nat(hAPP_f800510211t_bool(hAPP_f894608603t_bool(cOMBB_bool_bool_nat,fNot),hAPP_o1566711458t_bool(hAPP_f489569861t_bool(cOMBC_229530231l_bool,hAPP_f1677329295l_bool(hAPP_f1611569977l_bool(cOMBB_731867268ol_nat,fequal1937332960on_val),U_4212)),none_P179726773on_val))),
    inference(clausify,[status(thm)],[f_768_2]) ).

fof(f_769_1,plain,
    ! [M_1] : dom_list_char_val(M_1) = collect_list_char(hAPP_f1371002581r_bool(hAPP_f1861125939r_bool(cOMBB_1091123364t_char,fNot),hAPP_o453398608r_bool(hAPP_f399018025r_bool(cOMBC_442485623l_bool,hAPP_f396807521l_bool(hAPP_f926979333l_bool(cOMBB_1112666310t_char,fequal_option_val),M_1)),none_val))),
    inference(fof_nnf,[status(thm)],[fact_627_dom__def]) ).

fof(f_769_2,plain,
    ! [U_4213] : dom_list_char_val(U_4213) = collect_list_char(hAPP_f1371002581r_bool(hAPP_f1861125939r_bool(cOMBB_1091123364t_char,fNot),hAPP_o453398608r_bool(hAPP_f399018025r_bool(cOMBC_442485623l_bool,hAPP_f396807521l_bool(hAPP_f926979333l_bool(cOMBB_1112666310t_char,fequal_option_val),U_4213)),none_val))),
    inference(variable_rename,[status(thm)],[f_769_1]) ).

cnf(f_769_3,plain,
    dom_list_char_val(U_4213) = collect_list_char(hAPP_f1371002581r_bool(hAPP_f1861125939r_bool(cOMBB_1091123364t_char,fNot),hAPP_o453398608r_bool(hAPP_f399018025r_bool(cOMBC_442485623l_bool,hAPP_f396807521l_bool(hAPP_f926979333l_bool(cOMBB_1112666310t_char,fequal_option_val),U_4213)),none_val))),
    inference(clausify,[status(thm)],[f_769_2]) ).

fof(f_770_1,plain,
    ! [A,M_1] :
      ( ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A),dom_na996029170on_val(M_1)))
        | hAPP_n546249108on_val(M_1,A) = none_P179726773on_val )
      & ( hAPP_n546249108on_val(M_1,A) != none_P179726773on_val
        | ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A),dom_na996029170on_val(M_1))) ) ),
    inference(fof_nnf,[status(thm)],[fact_628_domIff]) ).

fof(f_770_2,plain,
    ! [U_4215,U_4214] :
      ( ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,U_4215),dom_na996029170on_val(U_4214)))
        | hAPP_n546249108on_val(U_4214,U_4215) = none_P179726773on_val )
      & ( hAPP_n546249108on_val(U_4214,U_4215) != none_P179726773on_val
        | ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,U_4215),dom_na996029170on_val(U_4214))) ) ),
    inference(variable_rename,[status(thm)],[f_770_1]) ).

fof(f_770_3,plain,
    ( ! [U_4219,U_4217] :
        ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,U_4219),dom_na996029170on_val(U_4217)))
        | hAPP_n546249108on_val(U_4217,U_4219) = none_P179726773on_val )
    & ! [U_4218,U_4216] :
        ( hAPP_n546249108on_val(U_4216,U_4218) != none_P179726773on_val
        | ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,U_4218),dom_na996029170on_val(U_4216))) ) ),
    inference(miniscope,[status(thm)],[f_770_2]) ).

cnf(f_770_4,plain,
    ( hAPP_n546249108on_val(U_4216,U_4218) != none_P179726773on_val
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,U_4218),dom_na996029170on_val(U_4216))) ),
    inference(clausify,[status(thm)],[f_770_3]) ).

cnf(f_770_5,plain,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,U_4219),dom_na996029170on_val(U_4217)))
    | hAPP_n546249108on_val(U_4217,U_4219) = none_P179726773on_val ),
    inference(clausify,[status(thm)],[f_770_3]) ).

fof(f_771_1,plain,
    ! [A,M_1] :
      ( ( hBOOL(hAPP_f986089162l_bool(hAPP_l1903254203l_bool(member_list_char,A),dom_list_char_val(M_1)))
        | hAPP_l207779698on_val(M_1,A) = none_val )
      & ( hAPP_l207779698on_val(M_1,A) != none_val
        | ~ hBOOL(hAPP_f986089162l_bool(hAPP_l1903254203l_bool(member_list_char,A),dom_list_char_val(M_1))) ) ),
    inference(fof_nnf,[status(thm)],[fact_629_domIff]) ).

fof(f_771_2,plain,
    ! [U_4221,U_4220] :
      ( ( hBOOL(hAPP_f986089162l_bool(hAPP_l1903254203l_bool(member_list_char,U_4221),dom_list_char_val(U_4220)))
        | hAPP_l207779698on_val(U_4220,U_4221) = none_val )
      & ( hAPP_l207779698on_val(U_4220,U_4221) != none_val
        | ~ hBOOL(hAPP_f986089162l_bool(hAPP_l1903254203l_bool(member_list_char,U_4221),dom_list_char_val(U_4220))) ) ),
    inference(variable_rename,[status(thm)],[f_771_1]) ).

fof(f_771_3,plain,
    ( ! [U_4225,U_4223] :
        ( hBOOL(hAPP_f986089162l_bool(hAPP_l1903254203l_bool(member_list_char,U_4225),dom_list_char_val(U_4223)))
        | hAPP_l207779698on_val(U_4223,U_4225) = none_val )
    & ! [U_4224,U_4222] :
        ( hAPP_l207779698on_val(U_4222,U_4224) != none_val
        | ~ hBOOL(hAPP_f986089162l_bool(hAPP_l1903254203l_bool(member_list_char,U_4224),dom_list_char_val(U_4222))) ) ),
    inference(miniscope,[status(thm)],[f_771_2]) ).

cnf(f_771_4,plain,
    ( hAPP_l207779698on_val(U_4222,U_4224) != none_val
    | ~ hBOOL(hAPP_f986089162l_bool(hAPP_l1903254203l_bool(member_list_char,U_4224),dom_list_char_val(U_4222))) ),
    inference(clausify,[status(thm)],[f_771_3]) ).

cnf(f_771_5,plain,
    ( hBOOL(hAPP_f986089162l_bool(hAPP_l1903254203l_bool(member_list_char,U_4225),dom_list_char_val(U_4223)))
    | hAPP_l207779698on_val(U_4223,U_4225) = none_val ),
    inference(clausify,[status(thm)],[f_771_3]) ).

fof(f_772_1,plain,
    ! [Ta,Pa,Eb,Hb,Lb,Va_1,E_b,H_b,L_b] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,block_list_char(Va_1,Ta,Eb),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb)),block_list_char(Va_1,Ta,E_b)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),fun_up1149430426on_val(L_b,Va_1,hAPP_l207779698on_val(Lb,Va_1)))))
      | hBOOL(assigned(Va_1,Eb))
      | hAPP_l207779698on_val(L_b,Va_1) != none_val
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Eb,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),fun_up1149430426on_val(Lb,Va_1,none_val))),E_b),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),L_b))) ),
    inference(fof_nnf,[status(thm)],[fact_630_redp__redsp_OBlockRedNone]) ).

fof(f_772_2,plain,
    ! [U_4234,U_4233,U_4232,U_4231,U_4230,U_4229,U_4228,U_4227,U_4226] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(U_4233,block_list_char(U_4229,U_4234,U_4232),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_4231),U_4230)),block_list_char(U_4229,U_4234,U_4228)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_4227),fun_up1149430426on_val(U_4226,U_4229,hAPP_l207779698on_val(U_4230,U_4229)))))
      | hBOOL(assigned(U_4229,U_4232))
      | hAPP_l207779698on_val(U_4226,U_4229) != none_val
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(U_4233,U_4232,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_4231),fun_up1149430426on_val(U_4230,U_4229,none_val))),U_4228),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_4227),U_4226))) ),
    inference(variable_rename,[status(thm)],[f_772_1]) ).

cnf(f_772_3,plain,
    ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(U_4233,block_list_char(U_4229,U_4234,U_4232),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_4231),U_4230)),block_list_char(U_4229,U_4234,U_4228)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_4227),fun_up1149430426on_val(U_4226,U_4229,hAPP_l207779698on_val(U_4230,U_4229)))))
    | hBOOL(assigned(U_4229,U_4232))
    | hAPP_l207779698on_val(U_4226,U_4229) != none_val
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(U_4233,U_4232,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_4231),fun_up1149430426on_val(U_4230,U_4229,none_val))),U_4228),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_4227),U_4226))) ),
    inference(clausify,[status(thm)],[f_772_2]) ).

fof(f_773_1,plain,
    ! [M_1,N,K] :
      ( ( hAPP_l207779698on_val(map_ad325961431ar_val(M_1,N),K) = none_val
        | hAPP_l207779698on_val(M_1,K) != none_val
        | hAPP_l207779698on_val(N,K) != none_val )
      & ( ( hAPP_l207779698on_val(M_1,K) = none_val
          & hAPP_l207779698on_val(N,K) = none_val )
        | hAPP_l207779698on_val(map_ad325961431ar_val(M_1,N),K) != none_val ) ),
    inference(fof_nnf,[status(thm)],[fact_631_map__add__None]) ).

fof(f_773_2,plain,
    ! [U_4237,U_4236,U_4235] :
      ( ( hAPP_l207779698on_val(map_ad325961431ar_val(U_4237,U_4236),U_4235) = none_val
        | hAPP_l207779698on_val(U_4237,U_4235) != none_val
        | hAPP_l207779698on_val(U_4236,U_4235) != none_val )
      & ( ( hAPP_l207779698on_val(U_4237,U_4235) = none_val
          & hAPP_l207779698on_val(U_4236,U_4235) = none_val )
        | hAPP_l207779698on_val(map_ad325961431ar_val(U_4237,U_4236),U_4235) != none_val ) ),
    inference(variable_rename,[status(thm)],[f_773_1]) ).

fof(f_773_3,plain,
    ( ! [U_4243,U_4241,U_4239] :
        ( hAPP_l207779698on_val(map_ad325961431ar_val(U_4243,U_4241),U_4239) = none_val
        | hAPP_l207779698on_val(U_4243,U_4239) != none_val
        | hAPP_l207779698on_val(U_4241,U_4239) != none_val )
    & ! [U_4242,U_4240,U_4238] :
        ( ( hAPP_l207779698on_val(U_4242,U_4238) = none_val
          & hAPP_l207779698on_val(U_4240,U_4238) = none_val )
        | hAPP_l207779698on_val(map_ad325961431ar_val(U_4242,U_4240),U_4238) != none_val ) ),
    inference(miniscope,[status(thm)],[f_773_2]) ).

cnf(f_773_4,plain,
    ( hAPP_l207779698on_val(U_4240,U_4238) = none_val
    | hAPP_l207779698on_val(map_ad325961431ar_val(U_4242,U_4240),U_4238) != none_val ),
    inference(clausify,[status(thm)],[f_773_3]) ).

cnf(f_773_5,plain,
    ( hAPP_l207779698on_val(U_4242,U_4238) = none_val
    | hAPP_l207779698on_val(map_ad325961431ar_val(U_4242,U_4240),U_4238) != none_val ),
    inference(clausify,[status(thm)],[f_773_3]) ).

cnf(f_773_6,plain,
    ( hAPP_l207779698on_val(map_ad325961431ar_val(U_4243,U_4241),U_4239) = none_val
    | hAPP_l207779698on_val(U_4243,U_4239) != none_val
    | hAPP_l207779698on_val(U_4241,U_4239) != none_val ),
    inference(clausify,[status(thm)],[f_773_3]) ).

fof(f_774_1,plain,
    ! [X_2,X_1] : hAPP_P2094403585on_val(fun_up204312361on_val(hAPP_o1269033393on_val(cOMBK_1867744698t_char,none_val),X_2,none_val),X_1) = none_val,
    inference(fof_nnf,[status(thm)],[fact_632_empty__upd__none]) ).

fof(f_774_2,plain,
    ! [U_4245,U_4244] : hAPP_P2094403585on_val(fun_up204312361on_val(hAPP_o1269033393on_val(cOMBK_1867744698t_char,none_val),U_4245,none_val),U_4244) = none_val,
    inference(variable_rename,[status(thm)],[f_774_1]) ).

cnf(f_774_3,plain,
    hAPP_P2094403585on_val(fun_up204312361on_val(hAPP_o1269033393on_val(cOMBK_1867744698t_char,none_val),U_4245,none_val),U_4244) = none_val,
    inference(clausify,[status(thm)],[f_774_2]) ).

fof(f_775_1,plain,
    ! [X_2,X_1] : hAPP_n546249108on_val(fun_up2041264236on_val(hAPP_o1576581476on_val(cOMBK_1944287343al_nat,none_P179726773on_val),X_2,none_P179726773on_val),X_1) = none_P179726773on_val,
    inference(fof_nnf,[status(thm)],[fact_633_empty__upd__none]) ).

fof(f_775_2,plain,
    ! [U_4247,U_4246] : hAPP_n546249108on_val(fun_up2041264236on_val(hAPP_o1576581476on_val(cOMBK_1944287343al_nat,none_P179726773on_val),U_4247,none_P179726773on_val),U_4246) = none_P179726773on_val,
    inference(variable_rename,[status(thm)],[f_775_1]) ).

cnf(f_775_3,plain,
    hAPP_n546249108on_val(fun_up2041264236on_val(hAPP_o1576581476on_val(cOMBK_1944287343al_nat,none_P179726773on_val),U_4247,none_P179726773on_val),U_4246) = none_P179726773on_val,
    inference(clausify,[status(thm)],[f_775_2]) ).

fof(f_776_1,plain,
    ! [X_2,X_1] : hAPP_l512744617ion_ty(fun_up424764369ion_ty(hAPP_o1240645474ion_ty(cOMBK_1294242658t_char,none_ty),X_2,none_ty),X_1) = none_ty,
    inference(fof_nnf,[status(thm)],[fact_634_empty__upd__none]) ).

fof(f_776_2,plain,
    ! [U_4249,U_4248] : hAPP_l512744617ion_ty(fun_up424764369ion_ty(hAPP_o1240645474ion_ty(cOMBK_1294242658t_char,none_ty),U_4249,none_ty),U_4248) = none_ty,
    inference(variable_rename,[status(thm)],[f_776_1]) ).

cnf(f_776_3,plain,
    hAPP_l512744617ion_ty(fun_up424764369ion_ty(hAPP_o1240645474ion_ty(cOMBK_1294242658t_char,none_ty),U_4249,none_ty),U_4248) = none_ty,
    inference(clausify,[status(thm)],[f_776_2]) ).

fof(f_777_1,plain,
    ! [X_2,X_1] : hAPP_l207779698on_val(fun_up1149430426on_val(hAPP_o538043682on_val(cOMBK_1097134891t_char,none_val),X_2,none_val),X_1) = none_val,
    inference(fof_nnf,[status(thm)],[fact_635_empty__upd__none]) ).

fof(f_777_2,plain,
    ! [U_4251,U_4250] : hAPP_l207779698on_val(fun_up1149430426on_val(hAPP_o538043682on_val(cOMBK_1097134891t_char,none_val),U_4251,none_val),U_4250) = none_val,
    inference(variable_rename,[status(thm)],[f_777_1]) ).

cnf(f_777_3,plain,
    hAPP_l207779698on_val(fun_up1149430426on_val(hAPP_o538043682on_val(cOMBK_1097134891t_char,none_val),U_4251,none_val),U_4250) = none_val,
    inference(clausify,[status(thm)],[f_777_2]) ).

fof(f_778_1,plain,
    ! [M_1] : map_ad325961431ar_val(M_1,hAPP_o538043682on_val(cOMBK_1097134891t_char,none_val)) = M_1,
    inference(fof_nnf,[status(thm)],[fact_636_map__add__empty]) ).

fof(f_778_2,plain,
    ! [U_4252] : map_ad325961431ar_val(U_4252,hAPP_o538043682on_val(cOMBK_1097134891t_char,none_val)) = U_4252,
    inference(variable_rename,[status(thm)],[f_778_1]) ).

cnf(f_778_3,plain,
    map_ad325961431ar_val(U_4252,hAPP_o538043682on_val(cOMBK_1097134891t_char,none_val)) = U_4252,
    inference(clausify,[status(thm)],[f_778_2]) ).

fof(f_779_1,plain,
    ! [M_1] : map_ad325961431ar_val(hAPP_o538043682on_val(cOMBK_1097134891t_char,none_val),M_1) = M_1,
    inference(fof_nnf,[status(thm)],[fact_637_empty__map__add]) ).

fof(f_779_2,plain,
    ! [U_4253] : map_ad325961431ar_val(hAPP_o538043682on_val(cOMBK_1097134891t_char,none_val),U_4253) = U_4253,
    inference(variable_rename,[status(thm)],[f_779_1]) ).

cnf(f_779_3,plain,
    map_ad325961431ar_val(hAPP_o538043682on_val(cOMBK_1097134891t_char,none_val),U_4253) = U_4253,
    inference(clausify,[status(thm)],[f_779_2]) ).

fof(f_780_1,plain,
    ! [Pa,Va,E_2,S] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,seq_list_char(hAPP_v834067052t_char(val_list_char,Va),E_2),S),E_2),S)),
    inference(fof_nnf,[status(thm)],[fact_638_redp__redsp_ORedSeq]) ).

fof(f_780_2,plain,
    ! [U_4257,U_4256,U_4255,U_4254] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(U_4257,seq_list_char(hAPP_v834067052t_char(val_list_char,U_4256),U_4255),U_4254),U_4255),U_4254)),
    inference(variable_rename,[status(thm)],[f_780_1]) ).

cnf(f_780_3,plain,
    hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(U_4257,seq_list_char(hAPP_v834067052t_char(val_list_char,U_4256),U_4255),U_4254),U_4255),U_4254)),
    inference(clausify,[status(thm)],[f_780_2]) ).

fof(f_781_1,plain,
    ! [T_2,K,X_2] :
    ? [X_1] : hAPP_P2094403585on_val(fun_up204312361on_val(T_2,K,hAPP_val_option_val(some_val,X_2)),X_1) != none_val,
    inference(fof_nnf,[status(thm)],[fact_639_map__upd__nonempty]) ).

fof(f_781_2,plain,
    ! [U_4261,U_4260,U_4259] :
    ? [U_4258] : hAPP_P2094403585on_val(fun_up204312361on_val(U_4261,U_4260,hAPP_val_option_val(some_val,U_4259)),U_4258) != none_val,
    inference(variable_rename,[status(thm)],[f_781_1]) ).

fof(f_781_3,plain,
    ! [U_4261,U_4260,U_4259] : hAPP_P2094403585on_val(fun_up204312361on_val(U_4261,U_4260,hAPP_val_option_val(some_val,U_4259)),sK742(U_4261,U_4260,U_4259)) != none_val,
    inference(skolemize,[status(esa),new_symbols(skolem,[sK742]),skolemize(U_4258,sK742(U_4261,U_4260,U_4259))],[f_781_2]) ).

cnf(f_781_4,plain,
    hAPP_P2094403585on_val(fun_up204312361on_val(U_4261,U_4260,hAPP_val_option_val(some_val,U_4259)),sK742(U_4261,U_4260,U_4259)) != none_val,
    inference(clausify,[status(thm)],[f_781_3]) ).

fof(f_782_1,plain,
    ! [T_2,K,X_2] :
    ? [X_1] : hAPP_n546249108on_val(fun_up2041264236on_val(T_2,K,hAPP_P1510515380on_val(some_P948696889on_val,X_2)),X_1) != none_P179726773on_val,
    inference(fof_nnf,[status(thm)],[fact_640_map__upd__nonempty]) ).

fof(f_782_2,plain,
    ! [U_4265,U_4264,U_4263] :
    ? [U_4262] : hAPP_n546249108on_val(fun_up2041264236on_val(U_4265,U_4264,hAPP_P1510515380on_val(some_P948696889on_val,U_4263)),U_4262) != none_P179726773on_val,
    inference(variable_rename,[status(thm)],[f_782_1]) ).

fof(f_782_3,plain,
    ! [U_4265,U_4264,U_4263] : hAPP_n546249108on_val(fun_up2041264236on_val(U_4265,U_4264,hAPP_P1510515380on_val(some_P948696889on_val,U_4263)),sK743(U_4265,U_4264,U_4263)) != none_P179726773on_val,
    inference(skolemize,[status(esa),new_symbols(skolem,[sK743]),skolemize(U_4262,sK743(U_4265,U_4264,U_4263))],[f_782_2]) ).

cnf(f_782_4,plain,
    hAPP_n546249108on_val(fun_up2041264236on_val(U_4265,U_4264,hAPP_P1510515380on_val(some_P948696889on_val,U_4263)),sK743(U_4265,U_4264,U_4263)) != none_P179726773on_val,
    inference(clausify,[status(thm)],[f_782_3]) ).

fof(f_783_1,plain,
    ! [T_2,K,X_2] :
    ? [X_1] : hAPP_l512744617ion_ty(fun_up424764369ion_ty(T_2,K,hAPP_ty_option_ty(some_ty,X_2)),X_1) != none_ty,
    inference(fof_nnf,[status(thm)],[fact_641_map__upd__nonempty]) ).

fof(f_783_2,plain,
    ! [U_4269,U_4268,U_4267] :
    ? [U_4266] : hAPP_l512744617ion_ty(fun_up424764369ion_ty(U_4269,U_4268,hAPP_ty_option_ty(some_ty,U_4267)),U_4266) != none_ty,
    inference(variable_rename,[status(thm)],[f_783_1]) ).

fof(f_783_3,plain,
    ! [U_4269,U_4268,U_4267] : hAPP_l512744617ion_ty(fun_up424764369ion_ty(U_4269,U_4268,hAPP_ty_option_ty(some_ty,U_4267)),sK744(U_4269,U_4268,U_4267)) != none_ty,
    inference(skolemize,[status(esa),new_symbols(skolem,[sK744]),skolemize(U_4266,sK744(U_4269,U_4268,U_4267))],[f_783_2]) ).

cnf(f_783_4,plain,
    hAPP_l512744617ion_ty(fun_up424764369ion_ty(U_4269,U_4268,hAPP_ty_option_ty(some_ty,U_4267)),sK744(U_4269,U_4268,U_4267)) != none_ty,
    inference(clausify,[status(thm)],[f_783_3]) ).

fof(f_784_1,plain,
    ! [T_2,K,X_2] :
    ? [X_1] : hAPP_l207779698on_val(fun_up1149430426on_val(T_2,K,hAPP_val_option_val(some_val,X_2)),X_1) != none_val,
    inference(fof_nnf,[status(thm)],[fact_642_map__upd__nonempty]) ).

fof(f_784_2,plain,
    ! [U_4273,U_4272,U_4271] :
    ? [U_4270] : hAPP_l207779698on_val(fun_up1149430426on_val(U_4273,U_4272,hAPP_val_option_val(some_val,U_4271)),U_4270) != none_val,
    inference(variable_rename,[status(thm)],[f_784_1]) ).

fof(f_784_3,plain,
    ! [U_4273,U_4272,U_4271] : hAPP_l207779698on_val(fun_up1149430426on_val(U_4273,U_4272,hAPP_val_option_val(some_val,U_4271)),sK745(U_4273,U_4272,U_4271)) != none_val,
    inference(skolemize,[status(esa),new_symbols(skolem,[sK745]),skolemize(U_4270,sK745(U_4273,U_4272,U_4271))],[f_784_2]) ).

cnf(f_784_4,plain,
    hAPP_l207779698on_val(fun_up1149430426on_val(U_4273,U_4272,hAPP_val_option_val(some_val,U_4271)),sK745(U_4273,U_4272,U_4271)) != none_val,
    inference(clausify,[status(thm)],[f_784_3]) ).

fof(f_785_1,plain,
    ! [Pa,Va_1,Ta,U,S] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,block_list_char(Va_1,Ta,hAPP_v834067052t_char(val_list_char,U)),S),hAPP_v834067052t_char(val_list_char,U)),S)),
    inference(fof_nnf,[status(thm)],[fact_643_redp__redsp_ORedBlock]) ).

fof(f_785_2,plain,
    ! [U_4278,U_4277,U_4276,U_4275,U_4274] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(U_4278,block_list_char(U_4277,U_4276,hAPP_v834067052t_char(val_list_char,U_4275)),U_4274),hAPP_v834067052t_char(val_list_char,U_4275)),U_4274)),
    inference(variable_rename,[status(thm)],[f_785_1]) ).

cnf(f_785_3,plain,
    hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(U_4278,block_list_char(U_4277,U_4276,hAPP_v834067052t_char(val_list_char,U_4275)),U_4274),hAPP_v834067052t_char(val_list_char,U_4275)),U_4274)),
    inference(clausify,[status(thm)],[f_785_2]) ).

fof(f_786_1,plain,
    ! [M_1,N,K,X_2] :
      ( ( hAPP_l207779698on_val(M_1,K) = hAPP_val_option_val(some_val,X_2)
        & hAPP_l207779698on_val(N,K) = none_val )
      | hAPP_l207779698on_val(N,K) = hAPP_val_option_val(some_val,X_2)
      | hAPP_l207779698on_val(map_ad325961431ar_val(M_1,N),K) != hAPP_val_option_val(some_val,X_2) ),
    inference(fof_nnf,[status(thm)],[fact_644_map__add__SomeD]) ).

fof(f_786_2,plain,
    ! [U_4282,U_4281,U_4280,U_4279] :
      ( ( hAPP_l207779698on_val(U_4282,U_4280) = hAPP_val_option_val(some_val,U_4279)
        & hAPP_l207779698on_val(U_4281,U_4280) = none_val )
      | hAPP_l207779698on_val(U_4281,U_4280) = hAPP_val_option_val(some_val,U_4279)
      | hAPP_l207779698on_val(map_ad325961431ar_val(U_4282,U_4281),U_4280) != hAPP_val_option_val(some_val,U_4279) ),
    inference(variable_rename,[status(thm)],[f_786_1]) ).

cnf(f_786_3,plain,
    ( hAPP_l207779698on_val(U_4281,U_4280) = none_val
    | hAPP_l207779698on_val(U_4281,U_4280) = hAPP_val_option_val(some_val,U_4279)
    | hAPP_l207779698on_val(map_ad325961431ar_val(U_4282,U_4281),U_4280) != hAPP_val_option_val(some_val,U_4279) ),
    inference(clausify,[status(thm)],[f_786_2]) ).

cnf(f_786_4,plain,
    ( hAPP_l207779698on_val(U_4282,U_4280) = hAPP_val_option_val(some_val,U_4279)
    | hAPP_l207779698on_val(U_4281,U_4280) = hAPP_val_option_val(some_val,U_4279)
    | hAPP_l207779698on_val(map_ad325961431ar_val(U_4282,U_4281),U_4280) != hAPP_val_option_val(some_val,U_4279) ),
    inference(clausify,[status(thm)],[f_786_2]) ).

fof(f_787_1,plain,
    ! [M_1,N,K,X_2] :
      ( ( hAPP_l207779698on_val(map_ad325961431ar_val(M_1,N),K) = hAPP_val_option_val(some_val,X_2)
        | ( ( hAPP_l207779698on_val(M_1,K) != hAPP_val_option_val(some_val,X_2)
            | hAPP_l207779698on_val(N,K) != none_val )
          & hAPP_l207779698on_val(N,K) != hAPP_val_option_val(some_val,X_2) ) )
      & ( ( hAPP_l207779698on_val(M_1,K) = hAPP_val_option_val(some_val,X_2)
          & hAPP_l207779698on_val(N,K) = none_val )
        | hAPP_l207779698on_val(N,K) = hAPP_val_option_val(some_val,X_2)
        | hAPP_l207779698on_val(map_ad325961431ar_val(M_1,N),K) != hAPP_val_option_val(some_val,X_2) ) ),
    inference(fof_nnf,[status(thm)],[fact_645_map__add__Some__iff]) ).

fof(f_787_2,plain,
    ! [U_4286,U_4285,U_4284,U_4283] :
      ( ( hAPP_l207779698on_val(map_ad325961431ar_val(U_4286,U_4285),U_4284) = hAPP_val_option_val(some_val,U_4283)
        | ( ( hAPP_l207779698on_val(U_4286,U_4284) != hAPP_val_option_val(some_val,U_4283)
            | hAPP_l207779698on_val(U_4285,U_4284) != none_val )
          & hAPP_l207779698on_val(U_4285,U_4284) != hAPP_val_option_val(some_val,U_4283) ) )
      & ( ( hAPP_l207779698on_val(U_4286,U_4284) = hAPP_val_option_val(some_val,U_4283)
          & hAPP_l207779698on_val(U_4285,U_4284) = none_val )
        | hAPP_l207779698on_val(U_4285,U_4284) = hAPP_val_option_val(some_val,U_4283)
        | hAPP_l207779698on_val(map_ad325961431ar_val(U_4286,U_4285),U_4284) != hAPP_val_option_val(some_val,U_4283) ) ),
    inference(variable_rename,[status(thm)],[f_787_1]) ).

fof(f_787_3,plain,
    ( ! [U_4294,U_4292,U_4290,U_4288] :
        ( hAPP_l207779698on_val(map_ad325961431ar_val(U_4294,U_4292),U_4290) = hAPP_val_option_val(some_val,U_4288)
        | ( ( hAPP_l207779698on_val(U_4294,U_4290) != hAPP_val_option_val(some_val,U_4288)
            | hAPP_l207779698on_val(U_4292,U_4290) != none_val )
          & hAPP_l207779698on_val(U_4292,U_4290) != hAPP_val_option_val(some_val,U_4288) ) )
    & ! [U_4293,U_4291,U_4289,U_4287] :
        ( ( hAPP_l207779698on_val(U_4293,U_4289) = hAPP_val_option_val(some_val,U_4287)
          & hAPP_l207779698on_val(U_4291,U_4289) = none_val )
        | hAPP_l207779698on_val(U_4291,U_4289) = hAPP_val_option_val(some_val,U_4287)
        | hAPP_l207779698on_val(map_ad325961431ar_val(U_4293,U_4291),U_4289) != hAPP_val_option_val(some_val,U_4287) ) ),
    inference(miniscope,[status(thm)],[f_787_2]) ).

cnf(f_787_4,plain,
    ( hAPP_l207779698on_val(U_4291,U_4289) = none_val
    | hAPP_l207779698on_val(U_4291,U_4289) = hAPP_val_option_val(some_val,U_4287)
    | hAPP_l207779698on_val(map_ad325961431ar_val(U_4293,U_4291),U_4289) != hAPP_val_option_val(some_val,U_4287) ),
    inference(clausify,[status(thm)],[f_787_3]) ).

cnf(f_787_5,plain,
    ( hAPP_l207779698on_val(U_4293,U_4289) = hAPP_val_option_val(some_val,U_4287)
    | hAPP_l207779698on_val(U_4291,U_4289) = hAPP_val_option_val(some_val,U_4287)
    | hAPP_l207779698on_val(map_ad325961431ar_val(U_4293,U_4291),U_4289) != hAPP_val_option_val(some_val,U_4287) ),
    inference(clausify,[status(thm)],[f_787_3]) ).

cnf(f_787_6,plain,
    ( hAPP_l207779698on_val(U_4292,U_4290) != hAPP_val_option_val(some_val,U_4288)
    | hAPP_l207779698on_val(map_ad325961431ar_val(U_4294,U_4292),U_4290) = hAPP_val_option_val(some_val,U_4288) ),
    inference(clausify,[status(thm)],[f_787_3]) ).

cnf(f_787_7,plain,
    ( hAPP_l207779698on_val(U_4294,U_4290) != hAPP_val_option_val(some_val,U_4288)
    | hAPP_l207779698on_val(U_4292,U_4290) != none_val
    | hAPP_l207779698on_val(map_ad325961431ar_val(U_4294,U_4292),U_4290) = hAPP_val_option_val(some_val,U_4288) ),
    inference(clausify,[status(thm)],[f_787_3]) ).

fof(f_788_1,plain,
    ! [E_2,Eb,S,E_b,S_2,Pa] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,seq_list_char(Eb,E_2)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,seq_list_char(E_b,E_2)),S_2))),transi2024712006on_val(red(Pa))))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_2))),transi2024712006on_val(red(Pa)))) ),
    inference(fof_nnf,[status(thm)],[fact_646_SeqReds]) ).

fof(f_788_2,plain,
    ! [U_4300,U_4299,U_4298,U_4297,U_4296,U_4295] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,seq_list_char(U_4299,U_4300)),U_4298)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,seq_list_char(U_4297,U_4300)),U_4296))),transi2024712006on_val(red(U_4295))))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_4299),U_4298)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_4297),U_4296))),transi2024712006on_val(red(U_4295)))) ),
    inference(variable_rename,[status(thm)],[f_788_1]) ).

cnf(f_788_3,plain,
    ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,seq_list_char(U_4299,U_4300)),U_4298)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,seq_list_char(U_4297,U_4300)),U_4296))),transi2024712006on_val(red(U_4295))))
    | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_4299),U_4298)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_4297),U_4296))),transi2024712006on_val(red(U_4295)))) ),
    inference(clausify,[status(thm)],[f_788_2]) ).

fof(f_789_1,plain,
    ! [Va_1,Eb,S,E_b,S_2,Pa] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,lAss_list_char(Va_1,Eb)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,lAss_list_char(Va_1,E_b)),S_2))),transi2024712006on_val(red(Pa))))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_2))),transi2024712006on_val(red(Pa)))) ),
    inference(fof_nnf,[status(thm)],[fact_647_LAssReds]) ).

fof(f_789_2,plain,
    ! [U_4306,U_4305,U_4304,U_4303,U_4302,U_4301] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,lAss_list_char(U_4306,U_4305)),U_4304)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,lAss_list_char(U_4306,U_4303)),U_4302))),transi2024712006on_val(red(U_4301))))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_4305),U_4304)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_4303),U_4302))),transi2024712006on_val(red(U_4301)))) ),
    inference(variable_rename,[status(thm)],[f_789_1]) ).

cnf(f_789_3,plain,
    ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,lAss_list_char(U_4306,U_4305)),U_4304)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,lAss_list_char(U_4306,U_4303)),U_4302))),transi2024712006on_val(red(U_4301))))
    | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_4305),U_4304)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_4303),U_4302))),transi2024712006on_val(red(U_4301)))) ),
    inference(clausify,[status(thm)],[f_789_2]) ).

fof(f_790_1,plain,
    ! [Ta,Va,Pa,Eb,Hb,Lb,Va_1,E_b,H_b,L_b] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,block_list_char(Va_1,Ta,Eb),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb)),block_list_char(Va_1,Ta,seq_list_char(lAss_list_char(Va_1,hAPP_v834067052t_char(val_list_char,Va)),E_b))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),fun_up1149430426on_val(L_b,Va_1,hAPP_l207779698on_val(Lb,Va_1)))))
      | hBOOL(assigned(Va_1,Eb))
      | hAPP_l207779698on_val(L_b,Va_1) != hAPP_val_option_val(some_val,Va)
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Eb,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),fun_up1149430426on_val(Lb,Va_1,none_val))),E_b),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),L_b))) ),
    inference(fof_nnf,[status(thm)],[fact_648_redp__redsp_OBlockRedSome]) ).

fof(f_790_2,plain,
    ! [U_4316,U_4315,U_4314,U_4313,U_4312,U_4311,U_4310,U_4309,U_4308,U_4307] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(U_4314,block_list_char(U_4310,U_4316,U_4313),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_4312),U_4311)),block_list_char(U_4310,U_4316,seq_list_char(lAss_list_char(U_4310,hAPP_v834067052t_char(val_list_char,U_4315)),U_4309))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_4308),fun_up1149430426on_val(U_4307,U_4310,hAPP_l207779698on_val(U_4311,U_4310)))))
      | hBOOL(assigned(U_4310,U_4313))
      | hAPP_l207779698on_val(U_4307,U_4310) != hAPP_val_option_val(some_val,U_4315)
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(U_4314,U_4313,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_4312),fun_up1149430426on_val(U_4311,U_4310,none_val))),U_4309),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_4308),U_4307))) ),
    inference(variable_rename,[status(thm)],[f_790_1]) ).

cnf(f_790_3,plain,
    ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(U_4314,block_list_char(U_4310,U_4316,U_4313),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_4312),U_4311)),block_list_char(U_4310,U_4316,seq_list_char(lAss_list_char(U_4310,hAPP_v834067052t_char(val_list_char,U_4315)),U_4309))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_4308),fun_up1149430426on_val(U_4307,U_4310,hAPP_l207779698on_val(U_4311,U_4310)))))
    | hBOOL(assigned(U_4310,U_4313))
    | hAPP_l207779698on_val(U_4307,U_4310) != hAPP_val_option_val(some_val,U_4315)
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(U_4314,U_4313,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_4312),fun_up1149430426on_val(U_4311,U_4310,none_val))),U_4309),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_4308),U_4307))) ),
    inference(clausify,[status(thm)],[f_790_2]) ).

fof(f_791_1,plain,
    ! [E_2,E_2_1,S_2_1,E_1_1,S_0,V_1_2,S_1,Pa] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,seq_list_char(E_1_1,E_2)),S_0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_2_1),S_2_1))),transi2024712006on_val(red(Pa))))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_2),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_2_1),S_2_1))),transi2024712006on_val(red(Pa))))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_1_1),S_0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,V_1_2)),S_1))),transi2024712006on_val(red(Pa)))) ),
    inference(fof_nnf,[status(thm)],[fact_649_SeqReds2]) ).

fof(f_791_2,plain,
    ! [U_4324,U_4323,U_4322,U_4321,U_4320,U_4319,U_4318,U_4317] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,seq_list_char(U_4321,U_4324)),U_4320)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_4323),U_4322))),transi2024712006on_val(red(U_4317))))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_4324),U_4318)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_4323),U_4322))),transi2024712006on_val(red(U_4317))))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_4321),U_4320)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,U_4319)),U_4318))),transi2024712006on_val(red(U_4317)))) ),
    inference(variable_rename,[status(thm)],[f_791_1]) ).

cnf(f_791_3,plain,
    ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,seq_list_char(U_4321,U_4324)),U_4320)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_4323),U_4322))),transi2024712006on_val(red(U_4317))))
    | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_4324),U_4318)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_4323),U_4322))),transi2024712006on_val(red(U_4317))))
    | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_4321),U_4320)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,U_4319)),U_4318))),transi2024712006on_val(red(U_4317)))) ),
    inference(clausify,[status(thm)],[f_791_2]) ).

fof(f_792_1,plain,
    ! [Pa,X_1,Xa,Xb,Xc] :
      ( ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,X_1,Xa),Xb),Xc))
        | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,X_1),Xa)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Xb),Xc))),red(Pa))) )
      & ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,X_1),Xa)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Xb),Xc))),red(Pa)))
        | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,X_1,Xa),Xb),Xc)) ) ),
    inference(fof_nnf,[status(thm)],[fact_650_redp__red__eq]) ).

fof(f_792_2,plain,
    ! [U_4329,U_4328,U_4327,U_4326,U_4325] :
      ( ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(U_4329,U_4328,U_4327),U_4326),U_4325))
        | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_4328),U_4327)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_4326),U_4325))),red(U_4329))) )
      & ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_4328),U_4327)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_4326),U_4325))),red(U_4329)))
        | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(U_4329,U_4328,U_4327),U_4326),U_4325)) ) ),
    inference(variable_rename,[status(thm)],[f_792_1]) ).

fof(f_792_3,plain,
    ( ! [U_4339,U_4337,U_4335,U_4333,U_4331] :
        ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(U_4339,U_4337,U_4335),U_4333),U_4331))
        | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_4337),U_4335)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_4333),U_4331))),red(U_4339))) )
    & ! [U_4338,U_4336,U_4334,U_4332,U_4330] :
        ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_4336),U_4334)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_4332),U_4330))),red(U_4338)))
        | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(U_4338,U_4336,U_4334),U_4332),U_4330)) ) ),
    inference(miniscope,[status(thm)],[f_792_2]) ).

cnf(f_792_4,plain,
    ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_4336),U_4334)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_4332),U_4330))),red(U_4338)))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(U_4338,U_4336,U_4334),U_4332),U_4330)) ),
    inference(clausify,[status(thm)],[f_792_3]) ).

cnf(f_792_5,plain,
    ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(U_4339,U_4337,U_4335),U_4333),U_4331))
    | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_4337),U_4335)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_4333),U_4331))),red(U_4339))) ),
    inference(clausify,[status(thm)],[f_792_3]) ).

fof(f_793_1,plain,
    ! [A,Obj,Pa,Hb] :
      ( hBOOL(hAPP_P1235399154l_bool(oconf_1869808039t_char(Pa,Hb),Obj))
      | hAPP_n546249108on_val(Hb,A) != hAPP_P1510515380on_val(some_P948696889on_val,Obj)
      | ~ hBOOL(hAPP_f61040418l_bool(hconf_97414254t_char(Pa),Hb)) ),
    inference(fof_nnf,[status(thm)],[fact_651_hconfD]) ).

fof(f_793_2,plain,
    ! [U_4343,U_4342,U_4341,U_4340] :
      ( hBOOL(hAPP_P1235399154l_bool(oconf_1869808039t_char(U_4341,U_4340),U_4342))
      | hAPP_n546249108on_val(U_4340,U_4343) != hAPP_P1510515380on_val(some_P948696889on_val,U_4342)
      | ~ hBOOL(hAPP_f61040418l_bool(hconf_97414254t_char(U_4341),U_4340)) ),
    inference(variable_rename,[status(thm)],[f_793_1]) ).

cnf(f_793_3,plain,
    ( hBOOL(hAPP_P1235399154l_bool(oconf_1869808039t_char(U_4341,U_4340),U_4342))
    | hAPP_n546249108on_val(U_4340,U_4343) != hAPP_P1510515380on_val(some_P948696889on_val,U_4342)
    | ~ hBOOL(hAPP_f61040418l_bool(hconf_97414254t_char(U_4341),U_4340)) ),
    inference(clausify,[status(thm)],[f_793_2]) ).

fof(f_794_1,plain,
    ! [Pa,Va_1,Ta,Va,U,S] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,block_list_char(Va_1,Ta,seq_list_char(lAss_list_char(Va_1,hAPP_v834067052t_char(val_list_char,Va)),hAPP_v834067052t_char(val_list_char,U))),S),hAPP_v834067052t_char(val_list_char,U)),S)),
    inference(fof_nnf,[status(thm)],[fact_652_redp__redsp_ORedInitBlock]) ).

fof(f_794_2,plain,
    ! [U_4349,U_4348,U_4347,U_4346,U_4345,U_4344] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(U_4349,block_list_char(U_4348,U_4347,seq_list_char(lAss_list_char(U_4348,hAPP_v834067052t_char(val_list_char,U_4346)),hAPP_v834067052t_char(val_list_char,U_4345))),U_4344),hAPP_v834067052t_char(val_list_char,U_4345)),U_4344)),
    inference(variable_rename,[status(thm)],[f_794_1]) ).

cnf(f_794_3,plain,
    hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(U_4349,block_list_char(U_4348,U_4347,seq_list_char(lAss_list_char(U_4348,hAPP_v834067052t_char(val_list_char,U_4346)),hAPP_v834067052t_char(val_list_char,U_4345))),U_4344),hAPP_v834067052t_char(val_list_char,U_4345)),U_4344)),
    inference(clausify,[status(thm)],[f_794_2]) ).

fof(f_795_1,plain,
    ! [Ta,Eb,Hb,Lb,Va_1,E_b,H_b,L_b,Pa] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,block_list_char(Va_1,Ta,Eb)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,block_list_char(Va_1,Ta,E_b)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),fun_up1149430426on_val(L_b,Va_1,hAPP_l207779698on_val(Lb,Va_1)))))),red(Pa)))
      | hBOOL(assigned(Va_1,Eb))
      | hAPP_l207779698on_val(L_b,Va_1) != none_val
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),fun_up1149430426on_val(Lb,Va_1,none_val)))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),L_b)))),red(Pa))) ),
    inference(fof_nnf,[status(thm)],[fact_653_red__reds_OBlockRedNone]) ).

fof(f_795_2,plain,
    ! [U_4358,U_4357,U_4356,U_4355,U_4354,U_4353,U_4352,U_4351,U_4350] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,block_list_char(U_4354,U_4358,U_4357)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_4356),U_4355))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,block_list_char(U_4354,U_4358,U_4353)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_4352),fun_up1149430426on_val(U_4351,U_4354,hAPP_l207779698on_val(U_4355,U_4354)))))),red(U_4350)))
      | hBOOL(assigned(U_4354,U_4357))
      | hAPP_l207779698on_val(U_4351,U_4354) != none_val
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_4357),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_4356),fun_up1149430426on_val(U_4355,U_4354,none_val)))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_4353),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_4352),U_4351)))),red(U_4350))) ),
    inference(variable_rename,[status(thm)],[f_795_1]) ).

cnf(f_795_3,plain,
    ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,block_list_char(U_4354,U_4358,U_4357)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_4356),U_4355))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,block_list_char(U_4354,U_4358,U_4353)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_4352),fun_up1149430426on_val(U_4351,U_4354,hAPP_l207779698on_val(U_4355,U_4354)))))),red(U_4350)))
    | hBOOL(assigned(U_4354,U_4357))
    | hAPP_l207779698on_val(U_4351,U_4354) != none_val
    | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_4357),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_4356),fun_up1149430426on_val(U_4355,U_4354,none_val)))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_4353),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_4352),U_4351)))),red(U_4350))) ),
    inference(clausify,[status(thm)],[f_795_2]) ).

fof(f_796_1,plain,
    ! [L_0,Eb,Hb,Lb,E_b,H_b,L_b,Pa] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),map_ad325961431ar_val(L_0,Lb)))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),map_ad325961431ar_val(L_0,L_b))))),transi2024712006on_val(red(Pa))))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),L_b)))),transi2024712006on_val(red(Pa)))) ),
    inference(fof_nnf,[status(thm)],[fact_654_Red__lcl__add]) ).

fof(f_796_2,plain,
    ! [U_4366,U_4365,U_4364,U_4363,U_4362,U_4361,U_4360,U_4359] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_4365),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_4364),map_ad325961431ar_val(U_4366,U_4363)))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_4362),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_4361),map_ad325961431ar_val(U_4366,U_4360))))),transi2024712006on_val(red(U_4359))))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_4365),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_4364),U_4363))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_4362),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_4361),U_4360)))),transi2024712006on_val(red(U_4359)))) ),
    inference(variable_rename,[status(thm)],[f_796_1]) ).

cnf(f_796_3,plain,
    ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_4365),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_4364),map_ad325961431ar_val(U_4366,U_4363)))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_4362),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_4361),map_ad325961431ar_val(U_4366,U_4360))))),transi2024712006on_val(red(U_4359))))
    | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_4365),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_4364),U_4363))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_4362),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_4361),U_4360)))),transi2024712006on_val(red(U_4359)))) ),
    inference(clausify,[status(thm)],[f_796_2]) ).

fof(f_797_1,plain,
    ! [Pa,Hb,Ea,Va,Eb,Ta] :
      ( ( ? [T_4] :
            ( ? [T_5] :
                ( hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(Pa),T_5),T_4))
                & hBOOL(wTrt_1(Pa,Hb,Ea,Eb,T_5)) )
            & hAPP_l512744617ion_ty(Ea,Va) = hAPP_ty_option_ty(some_ty,T_4) )
        & Ta = void )
      | ~ hBOOL(wTrt_1(Pa,Hb,Ea,lAss_list_char(Va,Eb),Ta)) ),
    inference(fof_nnf,[status(thm)],[fact_655_WTrt__elim__cases_I1_J]) ).

fof(f_797_2,plain,
    ! [U_4374,U_4373,U_4372,U_4371,U_4370,U_4369] :
      ( ( ? [U_4368] :
            ( ? [U_4367] :
                ( hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(U_4374),U_4367),U_4368))
                & hBOOL(wTrt_1(U_4374,U_4373,U_4372,U_4370,U_4367)) )
            & hAPP_l512744617ion_ty(U_4372,U_4371) = hAPP_ty_option_ty(some_ty,U_4368) )
        & U_4369 = void )
      | ~ hBOOL(wTrt_1(U_4374,U_4373,U_4372,lAss_list_char(U_4371,U_4370),U_4369)) ),
    inference(variable_rename,[status(thm)],[f_797_1]) ).

fof(f_797_3,plain,
    ! [U_4374,U_4373,U_4372,U_4371,U_4370,U_4369] :
      ( ( ? [U_4367] :
            ( hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(U_4374),U_4367),sK746(U_4374,U_4373,U_4372,U_4371,U_4370,U_4369)))
            & hBOOL(wTrt_1(U_4374,U_4373,U_4372,U_4370,U_4367)) )
        & hAPP_l512744617ion_ty(U_4372,U_4371) = hAPP_ty_option_ty(some_ty,sK746(U_4374,U_4373,U_4372,U_4371,U_4370,U_4369))
        & U_4369 = void )
      | ~ hBOOL(wTrt_1(U_4374,U_4373,U_4372,lAss_list_char(U_4371,U_4370),U_4369)) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK746]),skolemize(U_4368,sK746(U_4374,U_4373,U_4372,U_4371,U_4370,U_4369))],[f_797_2]) ).

fof(f_797_4,plain,
    ! [U_4374,U_4373,U_4372,U_4371,U_4370,U_4369] :
      ( ( hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(U_4374),sK747(U_4374,U_4373,U_4372,U_4371,U_4370,U_4369)),sK746(U_4374,U_4373,U_4372,U_4371,U_4370,U_4369)))
        & hBOOL(wTrt_1(U_4374,U_4373,U_4372,U_4370,sK747(U_4374,U_4373,U_4372,U_4371,U_4370,U_4369)))
        & hAPP_l512744617ion_ty(U_4372,U_4371) = hAPP_ty_option_ty(some_ty,sK746(U_4374,U_4373,U_4372,U_4371,U_4370,U_4369))
        & U_4369 = void )
      | ~ hBOOL(wTrt_1(U_4374,U_4373,U_4372,lAss_list_char(U_4371,U_4370),U_4369)) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK747]),skolemize(U_4367,sK747(U_4374,U_4373,U_4372,U_4371,U_4370,U_4369))],[f_797_3]) ).

cnf(f_797_5,plain,
    ( U_4369 = void
    | ~ hBOOL(wTrt_1(U_4374,U_4373,U_4372,lAss_list_char(U_4371,U_4370),U_4369)) ),
    inference(clausify,[status(thm)],[f_797_4]) ).

cnf(f_797_6,plain,
    ( hAPP_l512744617ion_ty(U_4372,U_4371) = hAPP_ty_option_ty(some_ty,sK746(U_4374,U_4373,U_4372,U_4371,U_4370,U_4369))
    | ~ hBOOL(wTrt_1(U_4374,U_4373,U_4372,lAss_list_char(U_4371,U_4370),U_4369)) ),
    inference(clausify,[status(thm)],[f_797_4]) ).

cnf(f_797_7,plain,
    ( hBOOL(wTrt_1(U_4374,U_4373,U_4372,U_4370,sK747(U_4374,U_4373,U_4372,U_4371,U_4370,U_4369)))
    | ~ hBOOL(wTrt_1(U_4374,U_4373,U_4372,lAss_list_char(U_4371,U_4370),U_4369)) ),
    inference(clausify,[status(thm)],[f_797_4]) ).

cnf(f_797_8,plain,
    ( hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(U_4374),sK747(U_4374,U_4373,U_4372,U_4371,U_4370,U_4369)),sK746(U_4374,U_4373,U_4372,U_4371,U_4370,U_4369)))
    | ~ hBOOL(wTrt_1(U_4374,U_4373,U_4372,lAss_list_char(U_4371,U_4370),U_4369)) ),
    inference(clausify,[status(thm)],[f_797_4]) ).

fof(f_798_1,plain,
    ! [Ta,Eb,Hb,Lb,Va_1,Va,E_b,H_b,L_b,Pa] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,block_list_char(Va_1,Ta,seq_list_char(lAss_list_char(Va_1,hAPP_v834067052t_char(val_list_char,Va)),Eb))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,block_list_char(Va_1,Ta,seq_list_char(lAss_list_char(Va_1,hAPP_v834067052t_char(val_list_char,hAPP_option_val_val(the_val,hAPP_l207779698on_val(L_b,Va_1)))),E_b))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),fun_up1149430426on_val(L_b,Va_1,hAPP_l207779698on_val(Lb,Va_1)))))),transi2024712006on_val(red(Pa))))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),fun_up1149430426on_val(Lb,Va_1,hAPP_val_option_val(some_val,Va))))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),L_b)))),transi2024712006on_val(red(Pa)))) ),
    inference(fof_nnf,[status(thm)],[fact_656_InitBlockReds]) ).

fof(f_798_2,plain,
    ! [U_4384,U_4383,U_4382,U_4381,U_4380,U_4379,U_4378,U_4377,U_4376,U_4375] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,block_list_char(U_4380,U_4384,seq_list_char(lAss_list_char(U_4380,hAPP_v834067052t_char(val_list_char,U_4379)),U_4383))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_4382),U_4381))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,block_list_char(U_4380,U_4384,seq_list_char(lAss_list_char(U_4380,hAPP_v834067052t_char(val_list_char,hAPP_option_val_val(the_val,hAPP_l207779698on_val(U_4376,U_4380)))),U_4378))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_4377),fun_up1149430426on_val(U_4376,U_4380,hAPP_l207779698on_val(U_4381,U_4380)))))),transi2024712006on_val(red(U_4375))))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_4383),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_4382),fun_up1149430426on_val(U_4381,U_4380,hAPP_val_option_val(some_val,U_4379))))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_4378),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_4377),U_4376)))),transi2024712006on_val(red(U_4375)))) ),
    inference(variable_rename,[status(thm)],[f_798_1]) ).

cnf(f_798_3,plain,
    ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,block_list_char(U_4380,U_4384,seq_list_char(lAss_list_char(U_4380,hAPP_v834067052t_char(val_list_char,U_4379)),U_4383))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_4382),U_4381))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,block_list_char(U_4380,U_4384,seq_list_char(lAss_list_char(U_4380,hAPP_v834067052t_char(val_list_char,hAPP_option_val_val(the_val,hAPP_l207779698on_val(U_4376,U_4380)))),U_4378))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_4377),fun_up1149430426on_val(U_4376,U_4380,hAPP_l207779698on_val(U_4381,U_4380)))))),transi2024712006on_val(red(U_4375))))
    | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_4383),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_4382),fun_up1149430426on_val(U_4381,U_4380,hAPP_val_option_val(some_val,U_4379))))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_4378),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_4377),U_4376)))),transi2024712006on_val(red(U_4375)))) ),
    inference(clausify,[status(thm)],[f_798_2]) ).

fof(f_799_1,plain,
    ! [Ta,Eb,Hb,Lb,Va_1,Va,E_b,H_b,L_b,Pa] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,block_list_char(Va_1,Ta,seq_list_char(lAss_list_char(Va_1,hAPP_v834067052t_char(val_list_char,Va)),Eb))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),fun_up1149430426on_val(L_b,Va_1,hAPP_l207779698on_val(Lb,Va_1)))))),transi2024712006on_val(red(Pa))))
      | ~ hBOOL(final_list_char(E_b))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),fun_up1149430426on_val(Lb,Va_1,hAPP_val_option_val(some_val,Va))))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),L_b)))),transi2024712006on_val(red(Pa)))) ),
    inference(fof_nnf,[status(thm)],[fact_657_InitBlockRedsFinal]) ).

fof(f_799_2,plain,
    ! [U_4394,U_4393,U_4392,U_4391,U_4390,U_4389,U_4388,U_4387,U_4386,U_4385] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,block_list_char(U_4390,U_4394,seq_list_char(lAss_list_char(U_4390,hAPP_v834067052t_char(val_list_char,U_4389)),U_4393))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_4392),U_4391))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_4388),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_4387),fun_up1149430426on_val(U_4386,U_4390,hAPP_l207779698on_val(U_4391,U_4390)))))),transi2024712006on_val(red(U_4385))))
      | ~ hBOOL(final_list_char(U_4388))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_4393),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_4392),fun_up1149430426on_val(U_4391,U_4390,hAPP_val_option_val(some_val,U_4389))))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_4388),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_4387),U_4386)))),transi2024712006on_val(red(U_4385)))) ),
    inference(variable_rename,[status(thm)],[f_799_1]) ).

cnf(f_799_3,plain,
    ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,block_list_char(U_4390,U_4394,seq_list_char(lAss_list_char(U_4390,hAPP_v834067052t_char(val_list_char,U_4389)),U_4393))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_4392),U_4391))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_4388),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_4387),fun_up1149430426on_val(U_4386,U_4390,hAPP_l207779698on_val(U_4391,U_4390)))))),transi2024712006on_val(red(U_4385))))
    | ~ hBOOL(final_list_char(U_4388))
    | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_4393),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_4392),fun_up1149430426on_val(U_4391,U_4390,hAPP_val_option_val(some_val,U_4389))))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_4388),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_4387),U_4386)))),transi2024712006on_val(red(U_4385)))) ),
    inference(clausify,[status(thm)],[f_799_2]) ).

fof(f_800_1,plain,
    ! [Va_1,Eb] :
      ( ( hBOOL(assigned(Va_1,Eb))
        | ! [V_2,E_1] : Eb != seq_list_char(lAss_list_char(Va_1,hAPP_v834067052t_char(val_list_char,V_2)),E_1) )
      & ( ? [V_2,E_1] : Eb = seq_list_char(lAss_list_char(Va_1,hAPP_v834067052t_char(val_list_char,V_2)),E_1)
        | ~ hBOOL(assigned(Va_1,Eb)) ) ),
    inference(fof_nnf,[status(thm)],[fact_658_assigned__def]) ).

fof(f_800_2,plain,
    ! [U_4400,U_4399] :
      ( ( hBOOL(assigned(U_4400,U_4399))
        | ! [U_4398,U_4397] : U_4399 != seq_list_char(lAss_list_char(U_4400,hAPP_v834067052t_char(val_list_char,U_4398)),U_4397) )
      & ( ? [U_4396,U_4395] : U_4399 = seq_list_char(lAss_list_char(U_4400,hAPP_v834067052t_char(val_list_char,U_4396)),U_4395)
        | ~ hBOOL(assigned(U_4400,U_4399)) ) ),
    inference(variable_rename,[status(thm)],[f_800_1]) ).

fof(f_800_3,plain,
    ( ! [U_4404,U_4402] :
        ( hBOOL(assigned(U_4404,U_4402))
        | ! [U_4398,U_4397] : U_4402 != seq_list_char(lAss_list_char(U_4404,hAPP_v834067052t_char(val_list_char,U_4398)),U_4397) )
    & ! [U_4403,U_4401] :
        ( ? [U_4396,U_4395] : U_4401 = seq_list_char(lAss_list_char(U_4403,hAPP_v834067052t_char(val_list_char,U_4396)),U_4395)
        | ~ hBOOL(assigned(U_4403,U_4401)) ) ),
    inference(miniscope,[status(thm)],[f_800_2]) ).

fof(f_800_4,plain,
    ( ! [U_4404,U_4402] :
        ( hBOOL(assigned(U_4404,U_4402))
        | ! [U_4398,U_4397] : U_4402 != seq_list_char(lAss_list_char(U_4404,hAPP_v834067052t_char(val_list_char,U_4398)),U_4397) )
    & ! [U_4403,U_4401] :
        ( ? [U_4395] : U_4401 = seq_list_char(lAss_list_char(U_4403,hAPP_v834067052t_char(val_list_char,sK748(U_4403,U_4401))),U_4395)
        | ~ hBOOL(assigned(U_4403,U_4401)) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK748]),skolemize(U_4396,sK748(U_4403,U_4401))],[f_800_3]) ).

fof(f_800_5,plain,
    ( ! [U_4404,U_4402] :
        ( hBOOL(assigned(U_4404,U_4402))
        | ! [U_4398,U_4397] : U_4402 != seq_list_char(lAss_list_char(U_4404,hAPP_v834067052t_char(val_list_char,U_4398)),U_4397) )
    & ! [U_4403,U_4401] :
        ( U_4401 = seq_list_char(lAss_list_char(U_4403,hAPP_v834067052t_char(val_list_char,sK748(U_4403,U_4401))),sK749(U_4403,U_4401))
        | ~ hBOOL(assigned(U_4403,U_4401)) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK749]),skolemize(U_4395,sK749(U_4403,U_4401))],[f_800_4]) ).

cnf(f_800_6,plain,
    ( U_4401 = seq_list_char(lAss_list_char(U_4403,hAPP_v834067052t_char(val_list_char,sK748(U_4403,U_4401))),sK749(U_4403,U_4401))
    | ~ hBOOL(assigned(U_4403,U_4401)) ),
    inference(clausify,[status(thm)],[f_800_5]) ).

cnf(f_800_7,plain,
    ( hBOOL(assigned(U_4404,U_4402))
    | U_4402 != seq_list_char(lAss_list_char(U_4404,hAPP_v834067052t_char(val_list_char,U_4398)),U_4397) ),
    inference(clausify,[status(thm)],[f_800_5]) ).

fof(f_801_1,plain,
    ! [A,R_1] : hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A),A)),transi374442731on_val(R_1))),
    inference(fof_nnf,[status(thm)],[fact_659_rtrancl_Ortrancl__refl]) ).

fof(f_801_2,plain,
    ! [U_4406,U_4405] : hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_4406),U_4406)),transi374442731on_val(U_4405))),
    inference(variable_rename,[status(thm)],[f_801_1]) ).

cnf(f_801_3,plain,
    hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_4406),U_4406)),transi374442731on_val(U_4405))),
    inference(clausify,[status(thm)],[f_801_2]) ).

fof(f_802_1,plain,
    ! [A,R_1] : hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A),A)),transi1395422419t_char(R_1))),
    inference(fof_nnf,[status(thm)],[fact_660_rtrancl_Ortrancl__refl]) ).

fof(f_802_2,plain,
    ! [U_4408,U_4407] : hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_4408),U_4408)),transi1395422419t_char(U_4407))),
    inference(variable_rename,[status(thm)],[f_802_1]) ).

cnf(f_802_3,plain,
    hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_4408),U_4408)),transi1395422419t_char(U_4407))),
    inference(clausify,[status(thm)],[f_802_2]) ).

fof(f_803_1,plain,
    ! [A,R_1] : hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A),A)),transi2024712006on_val(R_1))),
    inference(fof_nnf,[status(thm)],[fact_661_rtrancl_Ortrancl__refl]) ).

fof(f_803_2,plain,
    ! [U_4410,U_4409] : hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_4410),U_4410)),transi2024712006on_val(U_4409))),
    inference(variable_rename,[status(thm)],[f_803_1]) ).

cnf(f_803_3,plain,
    hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_4410),U_4410)),transi2024712006on_val(U_4409))),
    inference(clausify,[status(thm)],[f_803_2]) ).

fof(f_804_1,plain,
    ! [A,R_1] : hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A),A)),transi935034983cl_val(R_1))),
    inference(fof_nnf,[status(thm)],[fact_662_rtrancl_Ortrancl__refl]) ).

fof(f_804_2,plain,
    ! [U_4412,U_4411] : hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_4412),U_4412)),transi935034983cl_val(U_4411))),
    inference(variable_rename,[status(thm)],[f_804_1]) ).

cnf(f_804_3,plain,
    hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_4412),U_4412)),transi935034983cl_val(U_4411))),
    inference(clausify,[status(thm)],[f_804_2]) ).

fof(f_805_1,plain,
    ! [Ta,H_0,L_0,Va_1,E_0,S_0,E_2,H_2,L_2,Pa] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,block_list_char(Va_1,Ta,E_0)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_0),L_0))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_2),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_2),fun_up1149430426on_val(L_2,Va_1,hAPP_l207779698on_val(L_0,Va_1)))))),transi2024712006on_val(red(Pa))))
      | S_0 != hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_0),fun_up1149430426on_val(L_0,Va_1,none_val))
      | ~ hBOOL(final_list_char(E_2))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_0),S_0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_2),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_2),L_2)))),transi2024712006on_val(red(Pa)))) ),
    inference(fof_nnf,[status(thm)],[fact_663_BlockRedsFinal]) ).

fof(f_805_2,plain,
    ! [U_4422,U_4421,U_4420,U_4419,U_4418,U_4417,U_4416,U_4415,U_4414,U_4413] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,block_list_char(U_4419,U_4422,U_4418)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_4421),U_4420))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_4416),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_4415),fun_up1149430426on_val(U_4414,U_4419,hAPP_l207779698on_val(U_4420,U_4419)))))),transi2024712006on_val(red(U_4413))))
      | U_4417 != hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_4421),fun_up1149430426on_val(U_4420,U_4419,none_val))
      | ~ hBOOL(final_list_char(U_4416))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_4418),U_4417)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_4416),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_4415),U_4414)))),transi2024712006on_val(red(U_4413)))) ),
    inference(variable_rename,[status(thm)],[f_805_1]) ).

cnf(f_805_3,plain,
    ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,block_list_char(U_4419,U_4422,U_4418)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_4421),U_4420))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_4416),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_4415),fun_up1149430426on_val(U_4414,U_4419,hAPP_l207779698on_val(U_4420,U_4419)))))),transi2024712006on_val(red(U_4413))))
    | U_4417 != hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_4421),fun_up1149430426on_val(U_4420,U_4419,none_val))
    | ~ hBOOL(final_list_char(U_4416))
    | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_4418),U_4417)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_4416),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_4415),U_4414)))),transi2024712006on_val(red(U_4413)))) ),
    inference(clausify,[status(thm)],[f_805_2]) ).

fof(f_806_1,plain,
    ! [Fs,Hb,Va,Pa,C,F,Ta,D] :
      ( hBOOL(hAPP_P1235399154l_bool(oconf_1869808039t_char(Pa,Hb),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),fun_up204312361on_val(Fs,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,F),D),hAPP_val_option_val(some_val,Va)))))
      | ~ hBOOL(hAPP_P1235399154l_bool(oconf_1869808039t_char(Pa,Hb),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),Fs)))
      | ~ hBOOL(conf_P373316194t_char(Pa,Hb,Va,Ta))
      | ~ hBOOL(hAPP_list_char_bool(has_fi1183600461t_char(Pa,C,F,Ta),D)) ),
    inference(fof_nnf,[status(thm)],[fact_664_oconf__fupd]) ).

fof(f_806_2,plain,
    ! [U_4430,U_4429,U_4428,U_4427,U_4426,U_4425,U_4424,U_4423] :
      ( hBOOL(hAPP_P1235399154l_bool(oconf_1869808039t_char(U_4427,U_4429),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_4426),fun_up204312361on_val(U_4430,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_4425),U_4423),hAPP_val_option_val(some_val,U_4428)))))
      | ~ hBOOL(hAPP_P1235399154l_bool(oconf_1869808039t_char(U_4427,U_4429),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_4426),U_4430)))
      | ~ hBOOL(conf_P373316194t_char(U_4427,U_4429,U_4428,U_4424))
      | ~ hBOOL(hAPP_list_char_bool(has_fi1183600461t_char(U_4427,U_4426,U_4425,U_4424),U_4423)) ),
    inference(variable_rename,[status(thm)],[f_806_1]) ).

cnf(f_806_3,plain,
    ( hBOOL(hAPP_P1235399154l_bool(oconf_1869808039t_char(U_4427,U_4429),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_4426),fun_up204312361on_val(U_4430,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_4425),U_4423),hAPP_val_option_val(some_val,U_4428)))))
    | ~ hBOOL(hAPP_P1235399154l_bool(oconf_1869808039t_char(U_4427,U_4429),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_4426),U_4430)))
    | ~ hBOOL(conf_P373316194t_char(U_4427,U_4429,U_4428,U_4424))
    | ~ hBOOL(hAPP_list_char_bool(has_fi1183600461t_char(U_4427,U_4426,U_4425,U_4424),U_4423)) ),
    inference(clausify,[status(thm)],[f_806_2]) ).

fof(f_807_1,plain,
    ! [P_1,R_1] :
      ( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,P_1),transi374442731on_val(R_1)))
      | ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,P_1),R_1)) ),
    inference(fof_nnf,[status(thm)],[fact_665_r__into__rtrancl]) ).

fof(f_807_2,plain,
    ! [U_4432,U_4431] :
      ( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,U_4432),transi374442731on_val(U_4431)))
      | ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,U_4432),U_4431)) ),
    inference(variable_rename,[status(thm)],[f_807_1]) ).

cnf(f_807_3,plain,
    ( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,U_4432),transi374442731on_val(U_4431)))
    | ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,U_4432),U_4431)) ),
    inference(clausify,[status(thm)],[f_807_2]) ).

fof(f_808_1,plain,
    ! [P_1,R_1] :
      ( hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,P_1),transi1395422419t_char(R_1)))
      | ~ hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,P_1),R_1)) ),
    inference(fof_nnf,[status(thm)],[fact_666_r__into__rtrancl]) ).

fof(f_808_2,plain,
    ! [U_4434,U_4433] :
      ( hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,U_4434),transi1395422419t_char(U_4433)))
      | ~ hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,U_4434),U_4433)) ),
    inference(variable_rename,[status(thm)],[f_808_1]) ).

cnf(f_808_3,plain,
    ( hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,U_4434),transi1395422419t_char(U_4433)))
    | ~ hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,U_4434),U_4433)) ),
    inference(clausify,[status(thm)],[f_808_2]) ).

fof(f_809_1,plain,
    ! [P_1,R_1] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,P_1),transi2024712006on_val(R_1)))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,P_1),R_1)) ),
    inference(fof_nnf,[status(thm)],[fact_667_r__into__rtrancl]) ).

fof(f_809_2,plain,
    ! [U_4436,U_4435] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,U_4436),transi2024712006on_val(U_4435)))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,U_4436),U_4435)) ),
    inference(variable_rename,[status(thm)],[f_809_1]) ).

cnf(f_809_3,plain,
    ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,U_4436),transi2024712006on_val(U_4435)))
    | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,U_4436),U_4435)) ),
    inference(clausify,[status(thm)],[f_809_2]) ).

fof(f_810_1,plain,
    ! [A_2,B_1] :
      ( A_2 = B_1
      | ~ hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(B_1),A_2))
      | ~ hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(A_2),B_1)) ),
    inference(fof_nnf,[status(thm)],[fact_668_equalityI]) ).

fof(f_810_2,plain,
    ! [U_4438,U_4437] :
      ( U_4438 = U_4437
      | ~ hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(U_4437),U_4438))
      | ~ hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(U_4438),U_4437)) ),
    inference(variable_rename,[status(thm)],[f_810_1]) ).

cnf(f_810_3,plain,
    ( U_4438 = U_4437
    | ~ hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(U_4437),U_4438))
    | ~ hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(U_4438),U_4437)) ),
    inference(clausify,[status(thm)],[f_810_2]) ).

fof(f_811_1,plain,
    ! [C_2,A_2,B_1] :
      ( hBOOL(hAPP_f483496539l_bool(hAPP_P7095645l_bool(member1601084734t_char,C_2),B_1))
      | ~ hBOOL(hAPP_f483496539l_bool(hAPP_P7095645l_bool(member1601084734t_char,C_2),A_2))
      | ~ hBOOL(hAPP_f483496539l_bool(ord_le1987888477r_bool(A_2),B_1)) ),
    inference(fof_nnf,[status(thm)],[fact_669_subsetD]) ).

fof(f_811_2,plain,
    ! [U_4441,U_4440,U_4439] :
      ( hBOOL(hAPP_f483496539l_bool(hAPP_P7095645l_bool(member1601084734t_char,U_4441),U_4439))
      | ~ hBOOL(hAPP_f483496539l_bool(hAPP_P7095645l_bool(member1601084734t_char,U_4441),U_4440))
      | ~ hBOOL(hAPP_f483496539l_bool(ord_le1987888477r_bool(U_4440),U_4439)) ),
    inference(variable_rename,[status(thm)],[f_811_1]) ).

cnf(f_811_3,plain,
    ( hBOOL(hAPP_f483496539l_bool(hAPP_P7095645l_bool(member1601084734t_char,U_4441),U_4439))
    | ~ hBOOL(hAPP_f483496539l_bool(hAPP_P7095645l_bool(member1601084734t_char,U_4441),U_4440))
    | ~ hBOOL(hAPP_f483496539l_bool(ord_le1987888477r_bool(U_4440),U_4439)) ),
    inference(clausify,[status(thm)],[f_811_2]) ).

fof(f_812_1,plain,
    ! [C_2,A_2,B_1] :
      ( hBOOL(hAPP_f515912112l_bool(hAPP_P205570445l_bool(member1467889965t_char,C_2),B_1))
      | ~ hBOOL(hAPP_f515912112l_bool(hAPP_P205570445l_bool(member1467889965t_char,C_2),A_2))
      | ~ hBOOL(hAPP_f515912112l_bool(ord_le117566470r_bool(A_2),B_1)) ),
    inference(fof_nnf,[status(thm)],[fact_670_subsetD]) ).

fof(f_812_2,plain,
    ! [U_4444,U_4443,U_4442] :
      ( hBOOL(hAPP_f515912112l_bool(hAPP_P205570445l_bool(member1467889965t_char,U_4444),U_4442))
      | ~ hBOOL(hAPP_f515912112l_bool(hAPP_P205570445l_bool(member1467889965t_char,U_4444),U_4443))
      | ~ hBOOL(hAPP_f515912112l_bool(ord_le117566470r_bool(U_4443),U_4442)) ),
    inference(variable_rename,[status(thm)],[f_812_1]) ).

cnf(f_812_3,plain,
    ( hBOOL(hAPP_f515912112l_bool(hAPP_P205570445l_bool(member1467889965t_char,U_4444),U_4442))
    | ~ hBOOL(hAPP_f515912112l_bool(hAPP_P205570445l_bool(member1467889965t_char,U_4444),U_4443))
    | ~ hBOOL(hAPP_f515912112l_bool(ord_le117566470r_bool(U_4443),U_4442)) ),
    inference(clausify,[status(thm)],[f_812_2]) ).

fof(f_813_1,plain,
    ! [C_2,A_2,B_1] :
      ( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,C_2),B_1))
      | ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,C_2),A_2))
      | ~ hBOOL(hAPP_f458849545l_bool(ord_le1438917387l_bool(A_2),B_1)) ),
    inference(fof_nnf,[status(thm)],[fact_671_subsetD]) ).

fof(f_813_2,plain,
    ! [U_4447,U_4446,U_4445] :
      ( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,U_4447),U_4445))
      | ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,U_4447),U_4446))
      | ~ hBOOL(hAPP_f458849545l_bool(ord_le1438917387l_bool(U_4446),U_4445)) ),
    inference(variable_rename,[status(thm)],[f_813_1]) ).

cnf(f_813_3,plain,
    ( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,U_4447),U_4445))
    | ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,U_4447),U_4446))
    | ~ hBOOL(hAPP_f458849545l_bool(ord_le1438917387l_bool(U_4446),U_4445)) ),
    inference(clausify,[status(thm)],[f_813_2]) ).

fof(f_814_1,plain,
    ! [C_2,A_2,B_1] :
      ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,C_2),B_1))
      | ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,C_2),A_2))
      | ~ hBOOL(hAPP_f54304608l_bool(ord_le1568362934t_bool(A_2),B_1)) ),
    inference(fof_nnf,[status(thm)],[fact_672_subsetD]) ).

fof(f_814_2,plain,
    ! [U_4450,U_4449,U_4448] :
      ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,U_4450),U_4448))
      | ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,U_4450),U_4449))
      | ~ hBOOL(hAPP_f54304608l_bool(ord_le1568362934t_bool(U_4449),U_4448)) ),
    inference(variable_rename,[status(thm)],[f_814_1]) ).

cnf(f_814_3,plain,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,U_4450),U_4448))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,U_4450),U_4449))
    | ~ hBOOL(hAPP_f54304608l_bool(ord_le1568362934t_bool(U_4449),U_4448)) ),
    inference(clausify,[status(thm)],[f_814_2]) ).

fof(f_815_1,plain,
    ! [C_2,A_2,B_1] :
      ( hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,C_2),B_1))
      | ~ hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,C_2),A_2))
      | ~ hBOOL(hAPP_f2106398425l_bool(ord_le640323803r_bool(A_2),B_1)) ),
    inference(fof_nnf,[status(thm)],[fact_673_subsetD]) ).

fof(f_815_2,plain,
    ! [U_4453,U_4452,U_4451] :
      ( hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,U_4453),U_4451))
      | ~ hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,U_4453),U_4452))
      | ~ hBOOL(hAPP_f2106398425l_bool(ord_le640323803r_bool(U_4452),U_4451)) ),
    inference(variable_rename,[status(thm)],[f_815_1]) ).

cnf(f_815_3,plain,
    ( hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,U_4453),U_4451))
    | ~ hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,U_4453),U_4452))
    | ~ hBOOL(hAPP_f2106398425l_bool(ord_le640323803r_bool(U_4452),U_4451)) ),
    inference(clausify,[status(thm)],[f_815_2]) ).

fof(f_816_1,plain,
    ! [C_2,A_2,B_1] :
      ( hBOOL(hAPP_f986089162l_bool(hAPP_l1903254203l_bool(member_list_char,C_2),B_1))
      | ~ hBOOL(hAPP_f986089162l_bool(hAPP_l1903254203l_bool(member_list_char,C_2),A_2))
      | ~ hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(A_2),B_1)) ),
    inference(fof_nnf,[status(thm)],[fact_674_subsetD]) ).

fof(f_816_2,plain,
    ! [U_4456,U_4455,U_4454] :
      ( hBOOL(hAPP_f986089162l_bool(hAPP_l1903254203l_bool(member_list_char,U_4456),U_4454))
      | ~ hBOOL(hAPP_f986089162l_bool(hAPP_l1903254203l_bool(member_list_char,U_4456),U_4455))
      | ~ hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(U_4455),U_4454)) ),
    inference(variable_rename,[status(thm)],[f_816_1]) ).

cnf(f_816_3,plain,
    ( hBOOL(hAPP_f986089162l_bool(hAPP_l1903254203l_bool(member_list_char,U_4456),U_4454))
    | ~ hBOOL(hAPP_f986089162l_bool(hAPP_l1903254203l_bool(member_list_char,U_4456),U_4455))
    | ~ hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(U_4455),U_4454)) ),
    inference(clausify,[status(thm)],[f_816_2]) ).

fof(f_817_1,plain,
    ! [C_2,A_2,B_1] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,C_2),B_1))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,C_2),A_2))
      | ~ hBOOL(hAPP_f1453283057l_bool(ord_le1776148979l_bool(A_2),B_1)) ),
    inference(fof_nnf,[status(thm)],[fact_675_subsetD]) ).

fof(f_817_2,plain,
    ! [U_4459,U_4458,U_4457] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,U_4459),U_4457))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,U_4459),U_4458))
      | ~ hBOOL(hAPP_f1453283057l_bool(ord_le1776148979l_bool(U_4458),U_4457)) ),
    inference(variable_rename,[status(thm)],[f_817_1]) ).

cnf(f_817_3,plain,
    ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,U_4459),U_4457))
    | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,U_4459),U_4458))
    | ~ hBOOL(hAPP_f1453283057l_bool(ord_le1776148979l_bool(U_4458),U_4457)) ),
    inference(clausify,[status(thm)],[f_817_2]) ).

fof(f_818_1,plain,
    ! [R_1,S] :
      ( hBOOL(hAPP_f458849545l_bool(ord_le1438917387l_bool(transi374442731on_val(R_1)),transi374442731on_val(S)))
      | ~ hBOOL(hAPP_f458849545l_bool(ord_le1438917387l_bool(R_1),S)) ),
    inference(fof_nnf,[status(thm)],[fact_676_rtrancl__mono]) ).

fof(f_818_2,plain,
    ! [U_4461,U_4460] :
      ( hBOOL(hAPP_f458849545l_bool(ord_le1438917387l_bool(transi374442731on_val(U_4461)),transi374442731on_val(U_4460)))
      | ~ hBOOL(hAPP_f458849545l_bool(ord_le1438917387l_bool(U_4461),U_4460)) ),
    inference(variable_rename,[status(thm)],[f_818_1]) ).

cnf(f_818_3,plain,
    ( hBOOL(hAPP_f458849545l_bool(ord_le1438917387l_bool(transi374442731on_val(U_4461)),transi374442731on_val(U_4460)))
    | ~ hBOOL(hAPP_f458849545l_bool(ord_le1438917387l_bool(U_4461),U_4460)) ),
    inference(clausify,[status(thm)],[f_818_2]) ).

fof(f_819_1,plain,
    ! [R_1,S] :
      ( hBOOL(hAPP_f2106398425l_bool(ord_le640323803r_bool(transi1395422419t_char(R_1)),transi1395422419t_char(S)))
      | ~ hBOOL(hAPP_f2106398425l_bool(ord_le640323803r_bool(R_1),S)) ),
    inference(fof_nnf,[status(thm)],[fact_677_rtrancl__mono]) ).

fof(f_819_2,plain,
    ! [U_4463,U_4462] :
      ( hBOOL(hAPP_f2106398425l_bool(ord_le640323803r_bool(transi1395422419t_char(U_4463)),transi1395422419t_char(U_4462)))
      | ~ hBOOL(hAPP_f2106398425l_bool(ord_le640323803r_bool(U_4463),U_4462)) ),
    inference(variable_rename,[status(thm)],[f_819_1]) ).

cnf(f_819_3,plain,
    ( hBOOL(hAPP_f2106398425l_bool(ord_le640323803r_bool(transi1395422419t_char(U_4463)),transi1395422419t_char(U_4462)))
    | ~ hBOOL(hAPP_f2106398425l_bool(ord_le640323803r_bool(U_4463),U_4462)) ),
    inference(clausify,[status(thm)],[f_819_2]) ).

fof(f_820_1,plain,
    ! [R_1,S] :
      ( hBOOL(hAPP_f1453283057l_bool(ord_le1776148979l_bool(transi2024712006on_val(R_1)),transi2024712006on_val(S)))
      | ~ hBOOL(hAPP_f1453283057l_bool(ord_le1776148979l_bool(R_1),S)) ),
    inference(fof_nnf,[status(thm)],[fact_678_rtrancl__mono]) ).

fof(f_820_2,plain,
    ! [U_4465,U_4464] :
      ( hBOOL(hAPP_f1453283057l_bool(ord_le1776148979l_bool(transi2024712006on_val(U_4465)),transi2024712006on_val(U_4464)))
      | ~ hBOOL(hAPP_f1453283057l_bool(ord_le1776148979l_bool(U_4465),U_4464)) ),
    inference(variable_rename,[status(thm)],[f_820_1]) ).

cnf(f_820_3,plain,
    ( hBOOL(hAPP_f1453283057l_bool(ord_le1776148979l_bool(transi2024712006on_val(U_4465)),transi2024712006on_val(U_4464)))
    | ~ hBOOL(hAPP_f1453283057l_bool(ord_le1776148979l_bool(U_4465),U_4464)) ),
    inference(clausify,[status(thm)],[f_820_2]) ).

fof(f_821_1,plain,
    ! [R_2,S_4] :
      ( transi374442731on_val(S_4) = transi374442731on_val(R_2)
      | ~ hBOOL(hAPP_f458849545l_bool(ord_le1438917387l_bool(S_4),transi374442731on_val(R_2)))
      | ~ hBOOL(hAPP_f458849545l_bool(ord_le1438917387l_bool(R_2),S_4)) ),
    inference(fof_nnf,[status(thm)],[fact_679_rtrancl__subset]) ).

fof(f_821_2,plain,
    ! [U_4467,U_4466] :
      ( transi374442731on_val(U_4466) = transi374442731on_val(U_4467)
      | ~ hBOOL(hAPP_f458849545l_bool(ord_le1438917387l_bool(U_4466),transi374442731on_val(U_4467)))
      | ~ hBOOL(hAPP_f458849545l_bool(ord_le1438917387l_bool(U_4467),U_4466)) ),
    inference(variable_rename,[status(thm)],[f_821_1]) ).

cnf(f_821_3,plain,
    ( transi374442731on_val(U_4466) = transi374442731on_val(U_4467)
    | ~ hBOOL(hAPP_f458849545l_bool(ord_le1438917387l_bool(U_4466),transi374442731on_val(U_4467)))
    | ~ hBOOL(hAPP_f458849545l_bool(ord_le1438917387l_bool(U_4467),U_4466)) ),
    inference(clausify,[status(thm)],[f_821_2]) ).

fof(f_822_1,plain,
    ! [R_2,S_4] :
      ( transi1395422419t_char(S_4) = transi1395422419t_char(R_2)
      | ~ hBOOL(hAPP_f2106398425l_bool(ord_le640323803r_bool(S_4),transi1395422419t_char(R_2)))
      | ~ hBOOL(hAPP_f2106398425l_bool(ord_le640323803r_bool(R_2),S_4)) ),
    inference(fof_nnf,[status(thm)],[fact_680_rtrancl__subset]) ).

fof(f_822_2,plain,
    ! [U_4469,U_4468] :
      ( transi1395422419t_char(U_4468) = transi1395422419t_char(U_4469)
      | ~ hBOOL(hAPP_f2106398425l_bool(ord_le640323803r_bool(U_4468),transi1395422419t_char(U_4469)))
      | ~ hBOOL(hAPP_f2106398425l_bool(ord_le640323803r_bool(U_4469),U_4468)) ),
    inference(variable_rename,[status(thm)],[f_822_1]) ).

cnf(f_822_3,plain,
    ( transi1395422419t_char(U_4468) = transi1395422419t_char(U_4469)
    | ~ hBOOL(hAPP_f2106398425l_bool(ord_le640323803r_bool(U_4468),transi1395422419t_char(U_4469)))
    | ~ hBOOL(hAPP_f2106398425l_bool(ord_le640323803r_bool(U_4469),U_4468)) ),
    inference(clausify,[status(thm)],[f_822_2]) ).

fof(f_823_1,plain,
    ! [R_2,S_4] :
      ( transi2024712006on_val(S_4) = transi2024712006on_val(R_2)
      | ~ hBOOL(hAPP_f1453283057l_bool(ord_le1776148979l_bool(S_4),transi2024712006on_val(R_2)))
      | ~ hBOOL(hAPP_f1453283057l_bool(ord_le1776148979l_bool(R_2),S_4)) ),
    inference(fof_nnf,[status(thm)],[fact_681_rtrancl__subset]) ).

fof(f_823_2,plain,
    ! [U_4471,U_4470] :
      ( transi2024712006on_val(U_4470) = transi2024712006on_val(U_4471)
      | ~ hBOOL(hAPP_f1453283057l_bool(ord_le1776148979l_bool(U_4470),transi2024712006on_val(U_4471)))
      | ~ hBOOL(hAPP_f1453283057l_bool(ord_le1776148979l_bool(U_4471),U_4470)) ),
    inference(variable_rename,[status(thm)],[f_823_1]) ).

cnf(f_823_3,plain,
    ( transi2024712006on_val(U_4470) = transi2024712006on_val(U_4471)
    | ~ hBOOL(hAPP_f1453283057l_bool(ord_le1776148979l_bool(U_4470),transi2024712006on_val(U_4471)))
    | ~ hBOOL(hAPP_f1453283057l_bool(ord_le1776148979l_bool(U_4471),U_4470)) ),
    inference(clausify,[status(thm)],[f_823_2]) ).

fof(f_824_1,plain,
    ! [R_1,S] :
      ( hBOOL(hAPP_f458849545l_bool(ord_le1438917387l_bool(transi374442731on_val(R_1)),transi374442731on_val(S)))
      | ~ hBOOL(hAPP_f458849545l_bool(ord_le1438917387l_bool(R_1),transi374442731on_val(S))) ),
    inference(fof_nnf,[status(thm)],[fact_682_rtrancl__subset__rtrancl]) ).

fof(f_824_2,plain,
    ! [U_4473,U_4472] :
      ( hBOOL(hAPP_f458849545l_bool(ord_le1438917387l_bool(transi374442731on_val(U_4473)),transi374442731on_val(U_4472)))
      | ~ hBOOL(hAPP_f458849545l_bool(ord_le1438917387l_bool(U_4473),transi374442731on_val(U_4472))) ),
    inference(variable_rename,[status(thm)],[f_824_1]) ).

cnf(f_824_3,plain,
    ( hBOOL(hAPP_f458849545l_bool(ord_le1438917387l_bool(transi374442731on_val(U_4473)),transi374442731on_val(U_4472)))
    | ~ hBOOL(hAPP_f458849545l_bool(ord_le1438917387l_bool(U_4473),transi374442731on_val(U_4472))) ),
    inference(clausify,[status(thm)],[f_824_2]) ).

fof(f_825_1,plain,
    ! [R_1,S] :
      ( hBOOL(hAPP_f2106398425l_bool(ord_le640323803r_bool(transi1395422419t_char(R_1)),transi1395422419t_char(S)))
      | ~ hBOOL(hAPP_f2106398425l_bool(ord_le640323803r_bool(R_1),transi1395422419t_char(S))) ),
    inference(fof_nnf,[status(thm)],[fact_683_rtrancl__subset__rtrancl]) ).

fof(f_825_2,plain,
    ! [U_4475,U_4474] :
      ( hBOOL(hAPP_f2106398425l_bool(ord_le640323803r_bool(transi1395422419t_char(U_4475)),transi1395422419t_char(U_4474)))
      | ~ hBOOL(hAPP_f2106398425l_bool(ord_le640323803r_bool(U_4475),transi1395422419t_char(U_4474))) ),
    inference(variable_rename,[status(thm)],[f_825_1]) ).

cnf(f_825_3,plain,
    ( hBOOL(hAPP_f2106398425l_bool(ord_le640323803r_bool(transi1395422419t_char(U_4475)),transi1395422419t_char(U_4474)))
    | ~ hBOOL(hAPP_f2106398425l_bool(ord_le640323803r_bool(U_4475),transi1395422419t_char(U_4474))) ),
    inference(clausify,[status(thm)],[f_825_2]) ).

fof(f_826_1,plain,
    ! [R_1,S] :
      ( hBOOL(hAPP_f1453283057l_bool(ord_le1776148979l_bool(transi2024712006on_val(R_1)),transi2024712006on_val(S)))
      | ~ hBOOL(hAPP_f1453283057l_bool(ord_le1776148979l_bool(R_1),transi2024712006on_val(S))) ),
    inference(fof_nnf,[status(thm)],[fact_684_rtrancl__subset__rtrancl]) ).

fof(f_826_2,plain,
    ! [U_4477,U_4476] :
      ( hBOOL(hAPP_f1453283057l_bool(ord_le1776148979l_bool(transi2024712006on_val(U_4477)),transi2024712006on_val(U_4476)))
      | ~ hBOOL(hAPP_f1453283057l_bool(ord_le1776148979l_bool(U_4477),transi2024712006on_val(U_4476))) ),
    inference(variable_rename,[status(thm)],[f_826_1]) ).

cnf(f_826_3,plain,
    ( hBOOL(hAPP_f1453283057l_bool(ord_le1776148979l_bool(transi2024712006on_val(U_4477)),transi2024712006on_val(U_4476)))
    | ~ hBOOL(hAPP_f1453283057l_bool(ord_le1776148979l_bool(U_4477),transi2024712006on_val(U_4476))) ),
    inference(clausify,[status(thm)],[f_826_2]) ).

fof(f_827_1,plain,
    ! [X_3] : hAPP_option_val_val(the_val,hAPP_val_option_val(some_val,X_3)) = X_3,
    inference(fof_nnf,[status(thm)],[fact_685_the_Osimps]) ).

fof(f_827_2,plain,
    ! [U_4478] : hAPP_option_val_val(the_val,hAPP_val_option_val(some_val,U_4478)) = U_4478,
    inference(variable_rename,[status(thm)],[f_827_1]) ).

cnf(f_827_3,plain,
    hAPP_option_val_val(the_val,hAPP_val_option_val(some_val,U_4478)) = U_4478,
    inference(clausify,[status(thm)],[f_827_2]) ).

fof(f_828_1,plain,
    ! [X_3] : hAPP_option_nat_nat(the_nat,hAPP_nat_option_nat(some_nat,X_3)) = X_3,
    inference(fof_nnf,[status(thm)],[fact_686_the_Osimps]) ).

fof(f_828_2,plain,
    ! [U_4479] : hAPP_option_nat_nat(the_nat,hAPP_nat_option_nat(some_nat,U_4479)) = U_4479,
    inference(variable_rename,[status(thm)],[f_828_1]) ).

cnf(f_828_3,plain,
    hAPP_option_nat_nat(the_nat,hAPP_nat_option_nat(some_nat,U_4479)) = U_4479,
    inference(clausify,[status(thm)],[f_828_2]) ).

fof(f_829_1,plain,
    ! [X_2] : hAPP_o1977518472on_val(the_Pr431167171on_val,hAPP_P1510515380on_val(some_P948696889on_val,X_2)) = X_2,
    inference(fof_nnf,[status(thm)],[fact_687_the_Osimps]) ).

fof(f_829_2,plain,
    ! [U_4480] : hAPP_o1977518472on_val(the_Pr431167171on_val,hAPP_P1510515380on_val(some_P948696889on_val,U_4480)) = U_4480,
    inference(variable_rename,[status(thm)],[f_829_1]) ).

cnf(f_829_3,plain,
    hAPP_o1977518472on_val(the_Pr431167171on_val,hAPP_P1510515380on_val(some_P948696889on_val,U_4480)) = U_4480,
    inference(clausify,[status(thm)],[f_829_2]) ).

fof(f_830_1,plain,
    ! [X_3] : hAPP_option_ty_ty(the_ty,hAPP_ty_option_ty(some_ty,X_3)) = X_3,
    inference(fof_nnf,[status(thm)],[fact_688_the_Osimps]) ).

fof(f_830_2,plain,
    ! [U_4481] : hAPP_option_ty_ty(the_ty,hAPP_ty_option_ty(some_ty,U_4481)) = U_4481,
    inference(variable_rename,[status(thm)],[f_830_1]) ).

cnf(f_830_3,plain,
    hAPP_option_ty_ty(the_ty,hAPP_ty_option_ty(some_ty,U_4481)) = U_4481,
    inference(clausify,[status(thm)],[f_830_2]) ).

fof(f_831_1,plain,
    ! [X_2] : hAPP_o285151112r_bool(the_fu297177755r_bool,hAPP_f363827556r_bool(some_f80346385r_bool,X_2)) = X_2,
    inference(fof_nnf,[status(thm)],[fact_689_the_Osimps]) ).

fof(f_831_2,plain,
    ! [U_4482] : hAPP_o285151112r_bool(the_fu297177755r_bool,hAPP_f363827556r_bool(some_f80346385r_bool,U_4482)) = U_4482,
    inference(variable_rename,[status(thm)],[f_831_1]) ).

cnf(f_831_3,plain,
    hAPP_o285151112r_bool(the_fu297177755r_bool,hAPP_f363827556r_bool(some_f80346385r_bool,U_4482)) = U_4482,
    inference(clausify,[status(thm)],[f_831_2]) ).

fof(f_832_1,plain,
    ! [A_2] : hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(A_2),A_2)),
    inference(fof_nnf,[status(thm)],[fact_690_subset__refl]) ).

fof(f_832_2,plain,
    ! [U_4483] : hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(U_4483),U_4483)),
    inference(variable_rename,[status(thm)],[f_832_1]) ).

cnf(f_832_3,plain,
    hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(U_4483),U_4483)),
    inference(clausify,[status(thm)],[f_832_2]) ).

fof(f_833_1,plain,
    ! [A_2,B_1] :
      ( ( A_2 = B_1
        | ~ hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(B_1),A_2))
        | ~ hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(A_2),B_1)) )
      & ( ( hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(B_1),A_2))
          & hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(A_2),B_1)) )
        | A_2 != B_1 ) ),
    inference(fof_nnf,[status(thm)],[fact_691_set__eq__subset]) ).

fof(f_833_2,plain,
    ! [U_4485,U_4484] :
      ( ( U_4485 = U_4484
        | ~ hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(U_4484),U_4485))
        | ~ hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(U_4485),U_4484)) )
      & ( ( hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(U_4484),U_4485))
          & hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(U_4485),U_4484)) )
        | U_4485 != U_4484 ) ),
    inference(variable_rename,[status(thm)],[f_833_1]) ).

fof(f_833_3,plain,
    ( ! [U_4489,U_4487] :
        ( U_4489 = U_4487
        | ~ hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(U_4487),U_4489))
        | ~ hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(U_4489),U_4487)) )
    & ! [U_4488,U_4486] :
        ( ( hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(U_4486),U_4488))
          & hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(U_4488),U_4486)) )
        | U_4488 != U_4486 ) ),
    inference(miniscope,[status(thm)],[f_833_2]) ).

cnf(f_833_4,plain,
    ( hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(U_4488),U_4486))
    | U_4488 != U_4486 ),
    inference(clausify,[status(thm)],[f_833_3]) ).

cnf(f_833_5,plain,
    ( hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(U_4486),U_4488))
    | U_4488 != U_4486 ),
    inference(clausify,[status(thm)],[f_833_3]) ).

cnf(f_833_6,plain,
    ( U_4489 = U_4487
    | ~ hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(U_4487),U_4489))
    | ~ hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(U_4489),U_4487)) ),
    inference(clausify,[status(thm)],[f_833_3]) ).

fof(f_834_1,plain,
    ! [A_2,B_1] :
      ( hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(A_2),B_1))
      | A_2 != B_1 ),
    inference(fof_nnf,[status(thm)],[fact_692_equalityD1]) ).

fof(f_834_2,plain,
    ! [U_4491,U_4490] :
      ( hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(U_4491),U_4490))
      | U_4491 != U_4490 ),
    inference(variable_rename,[status(thm)],[f_834_1]) ).

cnf(f_834_3,plain,
    ( hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(U_4491),U_4490))
    | U_4491 != U_4490 ),
    inference(clausify,[status(thm)],[f_834_2]) ).

fof(f_835_1,plain,
    ! [A_2,B_1] :
      ( hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(B_1),A_2))
      | A_2 != B_1 ),
    inference(fof_nnf,[status(thm)],[fact_693_equalityD2]) ).

fof(f_835_2,plain,
    ! [U_4493,U_4492] :
      ( hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(U_4492),U_4493))
      | U_4493 != U_4492 ),
    inference(variable_rename,[status(thm)],[f_835_1]) ).

cnf(f_835_3,plain,
    ( hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(U_4492),U_4493))
    | U_4493 != U_4492 ),
    inference(clausify,[status(thm)],[f_835_2]) ).

fof(f_836_1,plain,
    ! [X_2,A_2,B_1] :
      ( hBOOL(hAPP_f483496539l_bool(hAPP_P7095645l_bool(member1601084734t_char,X_2),B_1))
      | ~ hBOOL(hAPP_f483496539l_bool(hAPP_P7095645l_bool(member1601084734t_char,X_2),A_2))
      | ~ hBOOL(hAPP_f483496539l_bool(ord_le1987888477r_bool(A_2),B_1)) ),
    inference(fof_nnf,[status(thm)],[fact_694_in__mono]) ).

fof(f_836_2,plain,
    ! [U_4496,U_4495,U_4494] :
      ( hBOOL(hAPP_f483496539l_bool(hAPP_P7095645l_bool(member1601084734t_char,U_4496),U_4494))
      | ~ hBOOL(hAPP_f483496539l_bool(hAPP_P7095645l_bool(member1601084734t_char,U_4496),U_4495))
      | ~ hBOOL(hAPP_f483496539l_bool(ord_le1987888477r_bool(U_4495),U_4494)) ),
    inference(variable_rename,[status(thm)],[f_836_1]) ).

cnf(f_836_3,plain,
    ( hBOOL(hAPP_f483496539l_bool(hAPP_P7095645l_bool(member1601084734t_char,U_4496),U_4494))
    | ~ hBOOL(hAPP_f483496539l_bool(hAPP_P7095645l_bool(member1601084734t_char,U_4496),U_4495))
    | ~ hBOOL(hAPP_f483496539l_bool(ord_le1987888477r_bool(U_4495),U_4494)) ),
    inference(clausify,[status(thm)],[f_836_2]) ).

fof(f_837_1,plain,
    ! [X_2,A_2,B_1] :
      ( hBOOL(hAPP_f515912112l_bool(hAPP_P205570445l_bool(member1467889965t_char,X_2),B_1))
      | ~ hBOOL(hAPP_f515912112l_bool(hAPP_P205570445l_bool(member1467889965t_char,X_2),A_2))
      | ~ hBOOL(hAPP_f515912112l_bool(ord_le117566470r_bool(A_2),B_1)) ),
    inference(fof_nnf,[status(thm)],[fact_695_in__mono]) ).

fof(f_837_2,plain,
    ! [U_4499,U_4498,U_4497] :
      ( hBOOL(hAPP_f515912112l_bool(hAPP_P205570445l_bool(member1467889965t_char,U_4499),U_4497))
      | ~ hBOOL(hAPP_f515912112l_bool(hAPP_P205570445l_bool(member1467889965t_char,U_4499),U_4498))
      | ~ hBOOL(hAPP_f515912112l_bool(ord_le117566470r_bool(U_4498),U_4497)) ),
    inference(variable_rename,[status(thm)],[f_837_1]) ).

cnf(f_837_3,plain,
    ( hBOOL(hAPP_f515912112l_bool(hAPP_P205570445l_bool(member1467889965t_char,U_4499),U_4497))
    | ~ hBOOL(hAPP_f515912112l_bool(hAPP_P205570445l_bool(member1467889965t_char,U_4499),U_4498))
    | ~ hBOOL(hAPP_f515912112l_bool(ord_le117566470r_bool(U_4498),U_4497)) ),
    inference(clausify,[status(thm)],[f_837_2]) ).

fof(f_838_1,plain,
    ! [X_2,A_2,B_1] :
      ( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,X_2),B_1))
      | ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,X_2),A_2))
      | ~ hBOOL(hAPP_f458849545l_bool(ord_le1438917387l_bool(A_2),B_1)) ),
    inference(fof_nnf,[status(thm)],[fact_696_in__mono]) ).

fof(f_838_2,plain,
    ! [U_4502,U_4501,U_4500] :
      ( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,U_4502),U_4500))
      | ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,U_4502),U_4501))
      | ~ hBOOL(hAPP_f458849545l_bool(ord_le1438917387l_bool(U_4501),U_4500)) ),
    inference(variable_rename,[status(thm)],[f_838_1]) ).

cnf(f_838_3,plain,
    ( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,U_4502),U_4500))
    | ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,U_4502),U_4501))
    | ~ hBOOL(hAPP_f458849545l_bool(ord_le1438917387l_bool(U_4501),U_4500)) ),
    inference(clausify,[status(thm)],[f_838_2]) ).

fof(f_839_1,plain,
    ! [X_2,A_2,B_1] :
      ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_2),B_1))
      | ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_2),A_2))
      | ~ hBOOL(hAPP_f54304608l_bool(ord_le1568362934t_bool(A_2),B_1)) ),
    inference(fof_nnf,[status(thm)],[fact_697_in__mono]) ).

fof(f_839_2,plain,
    ! [U_4505,U_4504,U_4503] :
      ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,U_4505),U_4503))
      | ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,U_4505),U_4504))
      | ~ hBOOL(hAPP_f54304608l_bool(ord_le1568362934t_bool(U_4504),U_4503)) ),
    inference(variable_rename,[status(thm)],[f_839_1]) ).

cnf(f_839_3,plain,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,U_4505),U_4503))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,U_4505),U_4504))
    | ~ hBOOL(hAPP_f54304608l_bool(ord_le1568362934t_bool(U_4504),U_4503)) ),
    inference(clausify,[status(thm)],[f_839_2]) ).

fof(f_840_1,plain,
    ! [X_2,A_2,B_1] :
      ( hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,X_2),B_1))
      | ~ hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,X_2),A_2))
      | ~ hBOOL(hAPP_f2106398425l_bool(ord_le640323803r_bool(A_2),B_1)) ),
    inference(fof_nnf,[status(thm)],[fact_698_in__mono]) ).

fof(f_840_2,plain,
    ! [U_4508,U_4507,U_4506] :
      ( hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,U_4508),U_4506))
      | ~ hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,U_4508),U_4507))
      | ~ hBOOL(hAPP_f2106398425l_bool(ord_le640323803r_bool(U_4507),U_4506)) ),
    inference(variable_rename,[status(thm)],[f_840_1]) ).

cnf(f_840_3,plain,
    ( hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,U_4508),U_4506))
    | ~ hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,U_4508),U_4507))
    | ~ hBOOL(hAPP_f2106398425l_bool(ord_le640323803r_bool(U_4507),U_4506)) ),
    inference(clausify,[status(thm)],[f_840_2]) ).

fof(f_841_1,plain,
    ! [X_2,A_2,B_1] :
      ( hBOOL(hAPP_f986089162l_bool(hAPP_l1903254203l_bool(member_list_char,X_2),B_1))
      | ~ hBOOL(hAPP_f986089162l_bool(hAPP_l1903254203l_bool(member_list_char,X_2),A_2))
      | ~ hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(A_2),B_1)) ),
    inference(fof_nnf,[status(thm)],[fact_699_in__mono]) ).

fof(f_841_2,plain,
    ! [U_4511,U_4510,U_4509] :
      ( hBOOL(hAPP_f986089162l_bool(hAPP_l1903254203l_bool(member_list_char,U_4511),U_4509))
      | ~ hBOOL(hAPP_f986089162l_bool(hAPP_l1903254203l_bool(member_list_char,U_4511),U_4510))
      | ~ hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(U_4510),U_4509)) ),
    inference(variable_rename,[status(thm)],[f_841_1]) ).

cnf(f_841_3,plain,
    ( hBOOL(hAPP_f986089162l_bool(hAPP_l1903254203l_bool(member_list_char,U_4511),U_4509))
    | ~ hBOOL(hAPP_f986089162l_bool(hAPP_l1903254203l_bool(member_list_char,U_4511),U_4510))
    | ~ hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(U_4510),U_4509)) ),
    inference(clausify,[status(thm)],[f_841_2]) ).

fof(f_842_1,plain,
    ! [X_2,A_2,B_1] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,X_2),B_1))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,X_2),A_2))
      | ~ hBOOL(hAPP_f1453283057l_bool(ord_le1776148979l_bool(A_2),B_1)) ),
    inference(fof_nnf,[status(thm)],[fact_700_in__mono]) ).

fof(f_842_2,plain,
    ! [U_4514,U_4513,U_4512] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,U_4514),U_4512))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,U_4514),U_4513))
      | ~ hBOOL(hAPP_f1453283057l_bool(ord_le1776148979l_bool(U_4513),U_4512)) ),
    inference(variable_rename,[status(thm)],[f_842_1]) ).

cnf(f_842_3,plain,
    ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,U_4514),U_4512))
    | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,U_4514),U_4513))
    | ~ hBOOL(hAPP_f1453283057l_bool(ord_le1776148979l_bool(U_4513),U_4512)) ),
    inference(clausify,[status(thm)],[f_842_2]) ).

fof(f_843_1,plain,
    ! [B_1,X_2,A_2] :
      ( hBOOL(hAPP_f483496539l_bool(hAPP_P7095645l_bool(member1601084734t_char,X_2),B_1))
      | ~ hBOOL(hAPP_f483496539l_bool(ord_le1987888477r_bool(A_2),B_1))
      | ~ hBOOL(hAPP_f483496539l_bool(hAPP_P7095645l_bool(member1601084734t_char,X_2),A_2)) ),
    inference(fof_nnf,[status(thm)],[fact_701_set__rev__mp]) ).

fof(f_843_2,plain,
    ! [U_4517,U_4516,U_4515] :
      ( hBOOL(hAPP_f483496539l_bool(hAPP_P7095645l_bool(member1601084734t_char,U_4516),U_4517))
      | ~ hBOOL(hAPP_f483496539l_bool(ord_le1987888477r_bool(U_4515),U_4517))
      | ~ hBOOL(hAPP_f483496539l_bool(hAPP_P7095645l_bool(member1601084734t_char,U_4516),U_4515)) ),
    inference(variable_rename,[status(thm)],[f_843_1]) ).

cnf(f_843_3,plain,
    ( hBOOL(hAPP_f483496539l_bool(hAPP_P7095645l_bool(member1601084734t_char,U_4516),U_4517))
    | ~ hBOOL(hAPP_f483496539l_bool(ord_le1987888477r_bool(U_4515),U_4517))
    | ~ hBOOL(hAPP_f483496539l_bool(hAPP_P7095645l_bool(member1601084734t_char,U_4516),U_4515)) ),
    inference(clausify,[status(thm)],[f_843_2]) ).

fof(f_844_1,plain,
    ! [B_1,X_2,A_2] :
      ( hBOOL(hAPP_f515912112l_bool(hAPP_P205570445l_bool(member1467889965t_char,X_2),B_1))
      | ~ hBOOL(hAPP_f515912112l_bool(ord_le117566470r_bool(A_2),B_1))
      | ~ hBOOL(hAPP_f515912112l_bool(hAPP_P205570445l_bool(member1467889965t_char,X_2),A_2)) ),
    inference(fof_nnf,[status(thm)],[fact_702_set__rev__mp]) ).

fof(f_844_2,plain,
    ! [U_4520,U_4519,U_4518] :
      ( hBOOL(hAPP_f515912112l_bool(hAPP_P205570445l_bool(member1467889965t_char,U_4519),U_4520))
      | ~ hBOOL(hAPP_f515912112l_bool(ord_le117566470r_bool(U_4518),U_4520))
      | ~ hBOOL(hAPP_f515912112l_bool(hAPP_P205570445l_bool(member1467889965t_char,U_4519),U_4518)) ),
    inference(variable_rename,[status(thm)],[f_844_1]) ).

cnf(f_844_3,plain,
    ( hBOOL(hAPP_f515912112l_bool(hAPP_P205570445l_bool(member1467889965t_char,U_4519),U_4520))
    | ~ hBOOL(hAPP_f515912112l_bool(ord_le117566470r_bool(U_4518),U_4520))
    | ~ hBOOL(hAPP_f515912112l_bool(hAPP_P205570445l_bool(member1467889965t_char,U_4519),U_4518)) ),
    inference(clausify,[status(thm)],[f_844_2]) ).

fof(f_845_1,plain,
    ! [B_1,X_2,A_2] :
      ( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,X_2),B_1))
      | ~ hBOOL(hAPP_f458849545l_bool(ord_le1438917387l_bool(A_2),B_1))
      | ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,X_2),A_2)) ),
    inference(fof_nnf,[status(thm)],[fact_703_set__rev__mp]) ).

fof(f_845_2,plain,
    ! [U_4523,U_4522,U_4521] :
      ( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,U_4522),U_4523))
      | ~ hBOOL(hAPP_f458849545l_bool(ord_le1438917387l_bool(U_4521),U_4523))
      | ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,U_4522),U_4521)) ),
    inference(variable_rename,[status(thm)],[f_845_1]) ).

cnf(f_845_3,plain,
    ( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,U_4522),U_4523))
    | ~ hBOOL(hAPP_f458849545l_bool(ord_le1438917387l_bool(U_4521),U_4523))
    | ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,U_4522),U_4521)) ),
    inference(clausify,[status(thm)],[f_845_2]) ).

fof(f_846_1,plain,
    ! [B_1,X_2,A_2] :
      ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_2),B_1))
      | ~ hBOOL(hAPP_f54304608l_bool(ord_le1568362934t_bool(A_2),B_1))
      | ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_2),A_2)) ),
    inference(fof_nnf,[status(thm)],[fact_704_set__rev__mp]) ).

fof(f_846_2,plain,
    ! [U_4526,U_4525,U_4524] :
      ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,U_4525),U_4526))
      | ~ hBOOL(hAPP_f54304608l_bool(ord_le1568362934t_bool(U_4524),U_4526))
      | ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,U_4525),U_4524)) ),
    inference(variable_rename,[status(thm)],[f_846_1]) ).

cnf(f_846_3,plain,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,U_4525),U_4526))
    | ~ hBOOL(hAPP_f54304608l_bool(ord_le1568362934t_bool(U_4524),U_4526))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,U_4525),U_4524)) ),
    inference(clausify,[status(thm)],[f_846_2]) ).

fof(f_847_1,plain,
    ! [B_1,X_2,A_2] :
      ( hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,X_2),B_1))
      | ~ hBOOL(hAPP_f2106398425l_bool(ord_le640323803r_bool(A_2),B_1))
      | ~ hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,X_2),A_2)) ),
    inference(fof_nnf,[status(thm)],[fact_705_set__rev__mp]) ).

fof(f_847_2,plain,
    ! [U_4529,U_4528,U_4527] :
      ( hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,U_4528),U_4529))
      | ~ hBOOL(hAPP_f2106398425l_bool(ord_le640323803r_bool(U_4527),U_4529))
      | ~ hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,U_4528),U_4527)) ),
    inference(variable_rename,[status(thm)],[f_847_1]) ).

cnf(f_847_3,plain,
    ( hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,U_4528),U_4529))
    | ~ hBOOL(hAPP_f2106398425l_bool(ord_le640323803r_bool(U_4527),U_4529))
    | ~ hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,U_4528),U_4527)) ),
    inference(clausify,[status(thm)],[f_847_2]) ).

fof(f_848_1,plain,
    ! [B_1,X_2,A_2] :
      ( hBOOL(hAPP_f986089162l_bool(hAPP_l1903254203l_bool(member_list_char,X_2),B_1))
      | ~ hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(A_2),B_1))
      | ~ hBOOL(hAPP_f986089162l_bool(hAPP_l1903254203l_bool(member_list_char,X_2),A_2)) ),
    inference(fof_nnf,[status(thm)],[fact_706_set__rev__mp]) ).

fof(f_848_2,plain,
    ! [U_4532,U_4531,U_4530] :
      ( hBOOL(hAPP_f986089162l_bool(hAPP_l1903254203l_bool(member_list_char,U_4531),U_4532))
      | ~ hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(U_4530),U_4532))
      | ~ hBOOL(hAPP_f986089162l_bool(hAPP_l1903254203l_bool(member_list_char,U_4531),U_4530)) ),
    inference(variable_rename,[status(thm)],[f_848_1]) ).

cnf(f_848_3,plain,
    ( hBOOL(hAPP_f986089162l_bool(hAPP_l1903254203l_bool(member_list_char,U_4531),U_4532))
    | ~ hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(U_4530),U_4532))
    | ~ hBOOL(hAPP_f986089162l_bool(hAPP_l1903254203l_bool(member_list_char,U_4531),U_4530)) ),
    inference(clausify,[status(thm)],[f_848_2]) ).

fof(f_849_1,plain,
    ! [B_1,X_2,A_2] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,X_2),B_1))
      | ~ hBOOL(hAPP_f1453283057l_bool(ord_le1776148979l_bool(A_2),B_1))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,X_2),A_2)) ),
    inference(fof_nnf,[status(thm)],[fact_707_set__rev__mp]) ).

fof(f_849_2,plain,
    ! [U_4535,U_4534,U_4533] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,U_4534),U_4535))
      | ~ hBOOL(hAPP_f1453283057l_bool(ord_le1776148979l_bool(U_4533),U_4535))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,U_4534),U_4533)) ),
    inference(variable_rename,[status(thm)],[f_849_1]) ).

cnf(f_849_3,plain,
    ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,U_4534),U_4535))
    | ~ hBOOL(hAPP_f1453283057l_bool(ord_le1776148979l_bool(U_4533),U_4535))
    | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,U_4534),U_4533)) ),
    inference(clausify,[status(thm)],[f_849_2]) ).

fof(f_850_1,plain,
    ! [X_2,A_2,B_1] :
      ( hBOOL(hAPP_f483496539l_bool(hAPP_P7095645l_bool(member1601084734t_char,X_2),B_1))
      | ~ hBOOL(hAPP_f483496539l_bool(hAPP_P7095645l_bool(member1601084734t_char,X_2),A_2))
      | ~ hBOOL(hAPP_f483496539l_bool(ord_le1987888477r_bool(A_2),B_1)) ),
    inference(fof_nnf,[status(thm)],[fact_708_set__mp]) ).

fof(f_850_2,plain,
    ! [U_4538,U_4537,U_4536] :
      ( hBOOL(hAPP_f483496539l_bool(hAPP_P7095645l_bool(member1601084734t_char,U_4538),U_4536))
      | ~ hBOOL(hAPP_f483496539l_bool(hAPP_P7095645l_bool(member1601084734t_char,U_4538),U_4537))
      | ~ hBOOL(hAPP_f483496539l_bool(ord_le1987888477r_bool(U_4537),U_4536)) ),
    inference(variable_rename,[status(thm)],[f_850_1]) ).

cnf(f_850_3,plain,
    ( hBOOL(hAPP_f483496539l_bool(hAPP_P7095645l_bool(member1601084734t_char,U_4538),U_4536))
    | ~ hBOOL(hAPP_f483496539l_bool(hAPP_P7095645l_bool(member1601084734t_char,U_4538),U_4537))
    | ~ hBOOL(hAPP_f483496539l_bool(ord_le1987888477r_bool(U_4537),U_4536)) ),
    inference(clausify,[status(thm)],[f_850_2]) ).

fof(f_851_1,plain,
    ! [X_2,A_2,B_1] :
      ( hBOOL(hAPP_f515912112l_bool(hAPP_P205570445l_bool(member1467889965t_char,X_2),B_1))
      | ~ hBOOL(hAPP_f515912112l_bool(hAPP_P205570445l_bool(member1467889965t_char,X_2),A_2))
      | ~ hBOOL(hAPP_f515912112l_bool(ord_le117566470r_bool(A_2),B_1)) ),
    inference(fof_nnf,[status(thm)],[fact_709_set__mp]) ).

fof(f_851_2,plain,
    ! [U_4541,U_4540,U_4539] :
      ( hBOOL(hAPP_f515912112l_bool(hAPP_P205570445l_bool(member1467889965t_char,U_4541),U_4539))
      | ~ hBOOL(hAPP_f515912112l_bool(hAPP_P205570445l_bool(member1467889965t_char,U_4541),U_4540))
      | ~ hBOOL(hAPP_f515912112l_bool(ord_le117566470r_bool(U_4540),U_4539)) ),
    inference(variable_rename,[status(thm)],[f_851_1]) ).

cnf(f_851_3,plain,
    ( hBOOL(hAPP_f515912112l_bool(hAPP_P205570445l_bool(member1467889965t_char,U_4541),U_4539))
    | ~ hBOOL(hAPP_f515912112l_bool(hAPP_P205570445l_bool(member1467889965t_char,U_4541),U_4540))
    | ~ hBOOL(hAPP_f515912112l_bool(ord_le117566470r_bool(U_4540),U_4539)) ),
    inference(clausify,[status(thm)],[f_851_2]) ).

fof(f_852_1,plain,
    ! [X_2,A_2,B_1] :
      ( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,X_2),B_1))
      | ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,X_2),A_2))
      | ~ hBOOL(hAPP_f458849545l_bool(ord_le1438917387l_bool(A_2),B_1)) ),
    inference(fof_nnf,[status(thm)],[fact_710_set__mp]) ).

fof(f_852_2,plain,
    ! [U_4544,U_4543,U_4542] :
      ( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,U_4544),U_4542))
      | ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,U_4544),U_4543))
      | ~ hBOOL(hAPP_f458849545l_bool(ord_le1438917387l_bool(U_4543),U_4542)) ),
    inference(variable_rename,[status(thm)],[f_852_1]) ).

cnf(f_852_3,plain,
    ( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,U_4544),U_4542))
    | ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,U_4544),U_4543))
    | ~ hBOOL(hAPP_f458849545l_bool(ord_le1438917387l_bool(U_4543),U_4542)) ),
    inference(clausify,[status(thm)],[f_852_2]) ).

fof(f_853_1,plain,
    ! [X_2,A_2,B_1] :
      ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_2),B_1))
      | ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_2),A_2))
      | ~ hBOOL(hAPP_f54304608l_bool(ord_le1568362934t_bool(A_2),B_1)) ),
    inference(fof_nnf,[status(thm)],[fact_711_set__mp]) ).

fof(f_853_2,plain,
    ! [U_4547,U_4546,U_4545] :
      ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,U_4547),U_4545))
      | ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,U_4547),U_4546))
      | ~ hBOOL(hAPP_f54304608l_bool(ord_le1568362934t_bool(U_4546),U_4545)) ),
    inference(variable_rename,[status(thm)],[f_853_1]) ).

cnf(f_853_3,plain,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,U_4547),U_4545))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,U_4547),U_4546))
    | ~ hBOOL(hAPP_f54304608l_bool(ord_le1568362934t_bool(U_4546),U_4545)) ),
    inference(clausify,[status(thm)],[f_853_2]) ).

fof(f_854_1,plain,
    ! [X_2,A_2,B_1] :
      ( hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,X_2),B_1))
      | ~ hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,X_2),A_2))
      | ~ hBOOL(hAPP_f2106398425l_bool(ord_le640323803r_bool(A_2),B_1)) ),
    inference(fof_nnf,[status(thm)],[fact_712_set__mp]) ).

fof(f_854_2,plain,
    ! [U_4550,U_4549,U_4548] :
      ( hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,U_4550),U_4548))
      | ~ hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,U_4550),U_4549))
      | ~ hBOOL(hAPP_f2106398425l_bool(ord_le640323803r_bool(U_4549),U_4548)) ),
    inference(variable_rename,[status(thm)],[f_854_1]) ).

cnf(f_854_3,plain,
    ( hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,U_4550),U_4548))
    | ~ hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,U_4550),U_4549))
    | ~ hBOOL(hAPP_f2106398425l_bool(ord_le640323803r_bool(U_4549),U_4548)) ),
    inference(clausify,[status(thm)],[f_854_2]) ).

fof(f_855_1,plain,
    ! [X_2,A_2,B_1] :
      ( hBOOL(hAPP_f986089162l_bool(hAPP_l1903254203l_bool(member_list_char,X_2),B_1))
      | ~ hBOOL(hAPP_f986089162l_bool(hAPP_l1903254203l_bool(member_list_char,X_2),A_2))
      | ~ hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(A_2),B_1)) ),
    inference(fof_nnf,[status(thm)],[fact_713_set__mp]) ).

fof(f_855_2,plain,
    ! [U_4553,U_4552,U_4551] :
      ( hBOOL(hAPP_f986089162l_bool(hAPP_l1903254203l_bool(member_list_char,U_4553),U_4551))
      | ~ hBOOL(hAPP_f986089162l_bool(hAPP_l1903254203l_bool(member_list_char,U_4553),U_4552))
      | ~ hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(U_4552),U_4551)) ),
    inference(variable_rename,[status(thm)],[f_855_1]) ).

cnf(f_855_3,plain,
    ( hBOOL(hAPP_f986089162l_bool(hAPP_l1903254203l_bool(member_list_char,U_4553),U_4551))
    | ~ hBOOL(hAPP_f986089162l_bool(hAPP_l1903254203l_bool(member_list_char,U_4553),U_4552))
    | ~ hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(U_4552),U_4551)) ),
    inference(clausify,[status(thm)],[f_855_2]) ).

fof(f_856_1,plain,
    ! [X_2,A_2,B_1] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,X_2),B_1))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,X_2),A_2))
      | ~ hBOOL(hAPP_f1453283057l_bool(ord_le1776148979l_bool(A_2),B_1)) ),
    inference(fof_nnf,[status(thm)],[fact_714_set__mp]) ).

fof(f_856_2,plain,
    ! [U_4556,U_4555,U_4554] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,U_4556),U_4554))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,U_4556),U_4555))
      | ~ hBOOL(hAPP_f1453283057l_bool(ord_le1776148979l_bool(U_4555),U_4554)) ),
    inference(variable_rename,[status(thm)],[f_856_1]) ).

cnf(f_856_3,plain,
    ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,U_4556),U_4554))
    | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,U_4556),U_4555))
    | ~ hBOOL(hAPP_f1453283057l_bool(ord_le1776148979l_bool(U_4555),U_4554)) ),
    inference(clausify,[status(thm)],[f_856_2]) ).

fof(f_857_1,plain,
    ! [C,A_2,B_1] :
      ( hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(A_2),C))
      | ~ hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(B_1),C))
      | ~ hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(A_2),B_1)) ),
    inference(fof_nnf,[status(thm)],[fact_715_subset__trans]) ).

fof(f_857_2,plain,
    ! [U_4559,U_4558,U_4557] :
      ( hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(U_4558),U_4559))
      | ~ hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(U_4557),U_4559))
      | ~ hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(U_4558),U_4557)) ),
    inference(variable_rename,[status(thm)],[f_857_1]) ).

cnf(f_857_3,plain,
    ( hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(U_4558),U_4559))
    | ~ hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(U_4557),U_4559))
    | ~ hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(U_4558),U_4557)) ),
    inference(clausify,[status(thm)],[f_857_2]) ).

fof(f_858_1,plain,
    ! [A_2,B_1] :
      ( ( hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(B_1),A_2))
        & hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(A_2),B_1)) )
      | A_2 != B_1 ),
    inference(fof_nnf,[status(thm)],[fact_716_equalityE]) ).

fof(f_858_2,plain,
    ! [U_4561,U_4560] :
      ( ( hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(U_4560),U_4561))
        & hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(U_4561),U_4560)) )
      | U_4561 != U_4560 ),
    inference(variable_rename,[status(thm)],[f_858_1]) ).

cnf(f_858_3,plain,
    ( hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(U_4561),U_4560))
    | U_4561 != U_4560 ),
    inference(clausify,[status(thm)],[f_858_2]) ).

cnf(f_858_4,plain,
    ( hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(U_4560),U_4561))
    | U_4561 != U_4560 ),
    inference(clausify,[status(thm)],[f_858_2]) ).

fof(f_859_1,plain,
    ! [X_2,Hb,A] :
      ( hBOOL(hext(Hb,fun_up2041264236on_val(Hb,A,hAPP_P1510515380on_val(some_P948696889on_val,X_2))))
      | hAPP_n546249108on_val(Hb,A) != none_P179726773on_val ),
    inference(fof_nnf,[status(thm)],[fact_717_hext__new]) ).

fof(f_859_2,plain,
    ! [U_4564,U_4563,U_4562] :
      ( hBOOL(hext(U_4563,fun_up2041264236on_val(U_4563,U_4562,hAPP_P1510515380on_val(some_P948696889on_val,U_4564))))
      | hAPP_n546249108on_val(U_4563,U_4562) != none_P179726773on_val ),
    inference(variable_rename,[status(thm)],[f_859_1]) ).

cnf(f_859_3,plain,
    ( hBOOL(hext(U_4563,fun_up2041264236on_val(U_4563,U_4562,hAPP_P1510515380on_val(some_P948696889on_val,U_4564))))
    | hAPP_n546249108on_val(U_4563,U_4562) != none_P179726773on_val ),
    inference(clausify,[status(thm)],[f_859_2]) ).

fof(f_860_1,plain,
    ! [R_1] : transi374442731on_val(transi374442731on_val(R_1)) = transi374442731on_val(R_1),
    inference(fof_nnf,[status(thm)],[fact_718_rtrancl__idemp]) ).

fof(f_860_2,plain,
    ! [U_4565] : transi374442731on_val(transi374442731on_val(U_4565)) = transi374442731on_val(U_4565),
    inference(variable_rename,[status(thm)],[f_860_1]) ).

cnf(f_860_3,plain,
    transi374442731on_val(transi374442731on_val(U_4565)) = transi374442731on_val(U_4565),
    inference(clausify,[status(thm)],[f_860_2]) ).

fof(f_861_1,plain,
    ! [R_1] : transi1395422419t_char(transi1395422419t_char(R_1)) = transi1395422419t_char(R_1),
    inference(fof_nnf,[status(thm)],[fact_719_rtrancl__idemp]) ).

fof(f_861_2,plain,
    ! [U_4566] : transi1395422419t_char(transi1395422419t_char(U_4566)) = transi1395422419t_char(U_4566),
    inference(variable_rename,[status(thm)],[f_861_1]) ).

cnf(f_861_3,plain,
    transi1395422419t_char(transi1395422419t_char(U_4566)) = transi1395422419t_char(U_4566),
    inference(clausify,[status(thm)],[f_861_2]) ).

fof(f_862_1,plain,
    ! [R_1] : transi2024712006on_val(transi2024712006on_val(R_1)) = transi2024712006on_val(R_1),
    inference(fof_nnf,[status(thm)],[fact_720_rtrancl__idemp]) ).

fof(f_862_2,plain,
    ! [U_4567] : transi2024712006on_val(transi2024712006on_val(U_4567)) = transi2024712006on_val(U_4567),
    inference(variable_rename,[status(thm)],[f_862_1]) ).

cnf(f_862_3,plain,
    transi2024712006on_val(transi2024712006on_val(U_4567)) = transi2024712006on_val(U_4567),
    inference(clausify,[status(thm)],[f_862_2]) ).

fof(f_863_1,plain,
    ! [Obj,A,Pa,Hb] :
      ( hBOOL(hAPP_f61040418l_bool(hconf_97414254t_char(Pa),fun_up2041264236on_val(Hb,A,hAPP_P1510515380on_val(some_P948696889on_val,Obj))))
      | ~ hBOOL(hAPP_P1235399154l_bool(oconf_1869808039t_char(Pa,Hb),Obj))
      | hAPP_n546249108on_val(Hb,A) != none_P179726773on_val
      | ~ hBOOL(hAPP_f61040418l_bool(hconf_97414254t_char(Pa),Hb)) ),
    inference(fof_nnf,[status(thm)],[fact_721_hconf__new]) ).

fof(f_863_2,plain,
    ! [U_4571,U_4570,U_4569,U_4568] :
      ( hBOOL(hAPP_f61040418l_bool(hconf_97414254t_char(U_4569),fun_up2041264236on_val(U_4568,U_4570,hAPP_P1510515380on_val(some_P948696889on_val,U_4571))))
      | ~ hBOOL(hAPP_P1235399154l_bool(oconf_1869808039t_char(U_4569,U_4568),U_4571))
      | hAPP_n546249108on_val(U_4568,U_4570) != none_P179726773on_val
      | ~ hBOOL(hAPP_f61040418l_bool(hconf_97414254t_char(U_4569),U_4568)) ),
    inference(variable_rename,[status(thm)],[f_863_1]) ).

cnf(f_863_3,plain,
    ( hBOOL(hAPP_f61040418l_bool(hconf_97414254t_char(U_4569),fun_up2041264236on_val(U_4568,U_4570,hAPP_P1510515380on_val(some_P948696889on_val,U_4571))))
    | ~ hBOOL(hAPP_P1235399154l_bool(oconf_1869808039t_char(U_4569,U_4568),U_4571))
    | hAPP_n546249108on_val(U_4568,U_4570) != none_P179726773on_val
    | ~ hBOOL(hAPP_f61040418l_bool(hconf_97414254t_char(U_4569),U_4568)) ),
    inference(clausify,[status(thm)],[f_863_2]) ).

fof(f_864_1,plain,
    ! [C_2,A,B,R_1] :
      ( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A),C_2)),transi374442731on_val(R_1)))
      | ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,B),C_2)),transi374442731on_val(R_1)))
      | ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A),B)),R_1)) ),
    inference(fof_nnf,[status(thm)],[fact_722_converse__rtrancl__into__rtrancl]) ).

fof(f_864_2,plain,
    ! [U_4575,U_4574,U_4573,U_4572] :
      ( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_4574),U_4575)),transi374442731on_val(U_4572)))
      | ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_4573),U_4575)),transi374442731on_val(U_4572)))
      | ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_4574),U_4573)),U_4572)) ),
    inference(variable_rename,[status(thm)],[f_864_1]) ).

cnf(f_864_3,plain,
    ( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_4574),U_4575)),transi374442731on_val(U_4572)))
    | ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_4573),U_4575)),transi374442731on_val(U_4572)))
    | ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_4574),U_4573)),U_4572)) ),
    inference(clausify,[status(thm)],[f_864_2]) ).

fof(f_865_1,plain,
    ! [C_2,A,B,R_1] :
      ( hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A),C_2)),transi1395422419t_char(R_1)))
      | ~ hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,B),C_2)),transi1395422419t_char(R_1)))
      | ~ hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A),B)),R_1)) ),
    inference(fof_nnf,[status(thm)],[fact_723_converse__rtrancl__into__rtrancl]) ).

fof(f_865_2,plain,
    ! [U_4579,U_4578,U_4577,U_4576] :
      ( hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_4578),U_4579)),transi1395422419t_char(U_4576)))
      | ~ hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_4577),U_4579)),transi1395422419t_char(U_4576)))
      | ~ hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_4578),U_4577)),U_4576)) ),
    inference(variable_rename,[status(thm)],[f_865_1]) ).

cnf(f_865_3,plain,
    ( hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_4578),U_4579)),transi1395422419t_char(U_4576)))
    | ~ hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_4577),U_4579)),transi1395422419t_char(U_4576)))
    | ~ hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_4578),U_4577)),U_4576)) ),
    inference(clausify,[status(thm)],[f_865_2]) ).

fof(f_866_1,plain,
    ! [C_2,A,B,R_1] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A),C_2)),transi2024712006on_val(R_1)))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,B),C_2)),transi2024712006on_val(R_1)))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A),B)),R_1)) ),
    inference(fof_nnf,[status(thm)],[fact_724_converse__rtrancl__into__rtrancl]) ).

fof(f_866_2,plain,
    ! [U_4583,U_4582,U_4581,U_4580] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_4582),U_4583)),transi2024712006on_val(U_4580)))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_4581),U_4583)),transi2024712006on_val(U_4580)))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_4582),U_4581)),U_4580)) ),
    inference(variable_rename,[status(thm)],[f_866_1]) ).

cnf(f_866_3,plain,
    ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_4582),U_4583)),transi2024712006on_val(U_4580)))
    | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_4581),U_4583)),transi2024712006on_val(U_4580)))
    | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_4582),U_4581)),U_4580)) ),
    inference(clausify,[status(thm)],[f_866_2]) ).

fof(f_867_1,plain,
    ! [C_2,A,B,R_1] :
      ( hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A),C_2)),transi935034983cl_val(R_1)))
      | ~ hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,B),C_2)),transi935034983cl_val(R_1)))
      | ~ hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A),B)),R_1)) ),
    inference(fof_nnf,[status(thm)],[fact_725_converse__rtrancl__into__rtrancl]) ).

fof(f_867_2,plain,
    ! [U_4587,U_4586,U_4585,U_4584] :
      ( hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_4586),U_4587)),transi935034983cl_val(U_4584)))
      | ~ hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_4585),U_4587)),transi935034983cl_val(U_4584)))
      | ~ hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_4586),U_4585)),U_4584)) ),
    inference(variable_rename,[status(thm)],[f_867_1]) ).

cnf(f_867_3,plain,
    ( hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_4586),U_4587)),transi935034983cl_val(U_4584)))
    | ~ hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_4585),U_4587)),transi935034983cl_val(U_4584)))
    | ~ hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_4586),U_4585)),U_4584)) ),
    inference(clausify,[status(thm)],[f_867_2]) ).

fof(f_868_1,plain,
    ! [C_2,A,B,R_1] :
      ( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A),C_2)),transi374442731on_val(R_1)))
      | ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,B),C_2)),R_1))
      | ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A),B)),transi374442731on_val(R_1))) ),
    inference(fof_nnf,[status(thm)],[fact_726_rtrancl_Ortrancl__into__rtrancl]) ).

fof(f_868_2,plain,
    ! [U_4591,U_4590,U_4589,U_4588] :
      ( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_4590),U_4591)),transi374442731on_val(U_4588)))
      | ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_4589),U_4591)),U_4588))
      | ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_4590),U_4589)),transi374442731on_val(U_4588))) ),
    inference(variable_rename,[status(thm)],[f_868_1]) ).

cnf(f_868_3,plain,
    ( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_4590),U_4591)),transi374442731on_val(U_4588)))
    | ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_4589),U_4591)),U_4588))
    | ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_4590),U_4589)),transi374442731on_val(U_4588))) ),
    inference(clausify,[status(thm)],[f_868_2]) ).

fof(f_869_1,plain,
    ! [C_2,A,B,R_1] :
      ( hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A),C_2)),transi1395422419t_char(R_1)))
      | ~ hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,B),C_2)),R_1))
      | ~ hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A),B)),transi1395422419t_char(R_1))) ),
    inference(fof_nnf,[status(thm)],[fact_727_rtrancl_Ortrancl__into__rtrancl]) ).

fof(f_869_2,plain,
    ! [U_4595,U_4594,U_4593,U_4592] :
      ( hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_4594),U_4595)),transi1395422419t_char(U_4592)))
      | ~ hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_4593),U_4595)),U_4592))
      | ~ hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_4594),U_4593)),transi1395422419t_char(U_4592))) ),
    inference(variable_rename,[status(thm)],[f_869_1]) ).

cnf(f_869_3,plain,
    ( hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_4594),U_4595)),transi1395422419t_char(U_4592)))
    | ~ hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_4593),U_4595)),U_4592))
    | ~ hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_4594),U_4593)),transi1395422419t_char(U_4592))) ),
    inference(clausify,[status(thm)],[f_869_2]) ).

fof(f_870_1,plain,
    ! [C_2,A,B,R_1] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A),C_2)),transi2024712006on_val(R_1)))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,B),C_2)),R_1))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A),B)),transi2024712006on_val(R_1))) ),
    inference(fof_nnf,[status(thm)],[fact_728_rtrancl_Ortrancl__into__rtrancl]) ).

fof(f_870_2,plain,
    ! [U_4599,U_4598,U_4597,U_4596] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_4598),U_4599)),transi2024712006on_val(U_4596)))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_4597),U_4599)),U_4596))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_4598),U_4597)),transi2024712006on_val(U_4596))) ),
    inference(variable_rename,[status(thm)],[f_870_1]) ).

cnf(f_870_3,plain,
    ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_4598),U_4599)),transi2024712006on_val(U_4596)))
    | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_4597),U_4599)),U_4596))
    | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_4598),U_4597)),transi2024712006on_val(U_4596))) ),
    inference(clausify,[status(thm)],[f_870_2]) ).

fof(f_871_1,plain,
    ! [C_2,A,B,R_1] :
      ( hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A),C_2)),transi935034983cl_val(R_1)))
      | ~ hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,B),C_2)),R_1))
      | ~ hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A),B)),transi935034983cl_val(R_1))) ),
    inference(fof_nnf,[status(thm)],[fact_729_rtrancl_Ortrancl__into__rtrancl]) ).

fof(f_871_2,plain,
    ! [U_4603,U_4602,U_4601,U_4600] :
      ( hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_4602),U_4603)),transi935034983cl_val(U_4600)))
      | ~ hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_4601),U_4603)),U_4600))
      | ~ hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_4602),U_4601)),transi935034983cl_val(U_4600))) ),
    inference(variable_rename,[status(thm)],[f_871_1]) ).

cnf(f_871_3,plain,
    ( hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_4602),U_4603)),transi935034983cl_val(U_4600)))
    | ~ hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_4601),U_4603)),U_4600))
    | ~ hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_4602),U_4601)),transi935034983cl_val(U_4600))) ),
    inference(clausify,[status(thm)],[f_871_2]) ).

fof(f_872_1,plain,
    ! [C_2,A,B,R_1] :
      ( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A),C_2)),transi374442731on_val(R_1)))
      | ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,B),C_2)),transi374442731on_val(R_1)))
      | ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A),B)),transi374442731on_val(R_1))) ),
    inference(fof_nnf,[status(thm)],[fact_730_rtrancl__trans]) ).

fof(f_872_2,plain,
    ! [U_4607,U_4606,U_4605,U_4604] :
      ( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_4606),U_4607)),transi374442731on_val(U_4604)))
      | ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_4605),U_4607)),transi374442731on_val(U_4604)))
      | ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_4606),U_4605)),transi374442731on_val(U_4604))) ),
    inference(variable_rename,[status(thm)],[f_872_1]) ).

cnf(f_872_3,plain,
    ( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_4606),U_4607)),transi374442731on_val(U_4604)))
    | ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_4605),U_4607)),transi374442731on_val(U_4604)))
    | ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_4606),U_4605)),transi374442731on_val(U_4604))) ),
    inference(clausify,[status(thm)],[f_872_2]) ).

fof(f_873_1,plain,
    ! [C_2,A,B,R_1] :
      ( hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A),C_2)),transi1395422419t_char(R_1)))
      | ~ hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,B),C_2)),transi1395422419t_char(R_1)))
      | ~ hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A),B)),transi1395422419t_char(R_1))) ),
    inference(fof_nnf,[status(thm)],[fact_731_rtrancl__trans]) ).

fof(f_873_2,plain,
    ! [U_4611,U_4610,U_4609,U_4608] :
      ( hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_4610),U_4611)),transi1395422419t_char(U_4608)))
      | ~ hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_4609),U_4611)),transi1395422419t_char(U_4608)))
      | ~ hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_4610),U_4609)),transi1395422419t_char(U_4608))) ),
    inference(variable_rename,[status(thm)],[f_873_1]) ).

cnf(f_873_3,plain,
    ( hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_4610),U_4611)),transi1395422419t_char(U_4608)))
    | ~ hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_4609),U_4611)),transi1395422419t_char(U_4608)))
    | ~ hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_4610),U_4609)),transi1395422419t_char(U_4608))) ),
    inference(clausify,[status(thm)],[f_873_2]) ).

fof(f_874_1,plain,
    ! [C_2,A,B,R_1] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A),C_2)),transi2024712006on_val(R_1)))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,B),C_2)),transi2024712006on_val(R_1)))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A),B)),transi2024712006on_val(R_1))) ),
    inference(fof_nnf,[status(thm)],[fact_732_rtrancl__trans]) ).

fof(f_874_2,plain,
    ! [U_4615,U_4614,U_4613,U_4612] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_4614),U_4615)),transi2024712006on_val(U_4612)))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_4613),U_4615)),transi2024712006on_val(U_4612)))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_4614),U_4613)),transi2024712006on_val(U_4612))) ),
    inference(variable_rename,[status(thm)],[f_874_1]) ).

cnf(f_874_3,plain,
    ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_4614),U_4615)),transi2024712006on_val(U_4612)))
    | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_4613),U_4615)),transi2024712006on_val(U_4612)))
    | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_4614),U_4613)),transi2024712006on_val(U_4612))) ),
    inference(clausify,[status(thm)],[f_874_2]) ).

fof(f_875_1,plain,
    ! [C_2,A,B,R_1] :
      ( hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A),C_2)),transi935034983cl_val(R_1)))
      | ~ hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,B),C_2)),transi935034983cl_val(R_1)))
      | ~ hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A),B)),transi935034983cl_val(R_1))) ),
    inference(fof_nnf,[status(thm)],[fact_733_rtrancl__trans]) ).

fof(f_875_2,plain,
    ! [U_4619,U_4618,U_4617,U_4616] :
      ( hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_4618),U_4619)),transi935034983cl_val(U_4616)))
      | ~ hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_4617),U_4619)),transi935034983cl_val(U_4616)))
      | ~ hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_4618),U_4617)),transi935034983cl_val(U_4616))) ),
    inference(variable_rename,[status(thm)],[f_875_1]) ).

cnf(f_875_3,plain,
    ( hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_4618),U_4619)),transi935034983cl_val(U_4616)))
    | ~ hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_4617),U_4619)),transi935034983cl_val(U_4616)))
    | ~ hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_4618),U_4617)),transi935034983cl_val(U_4616))) ),
    inference(clausify,[status(thm)],[f_875_2]) ).

fof(f_876_1,plain,
    ! [B_1,A_2] :
      ( hBOOL(hAPP_f483496539l_bool(ord_le1987888477r_bool(A_2),B_1))
      | ? [X_1] :
          ( ~ hBOOL(hAPP_f483496539l_bool(hAPP_P7095645l_bool(member1601084734t_char,X_1),B_1))
          & hBOOL(hAPP_f483496539l_bool(hAPP_P7095645l_bool(member1601084734t_char,X_1),A_2)) ) ),
    inference(fof_nnf,[status(thm)],[fact_734_subsetI]) ).

fof(f_876_2,plain,
    ! [U_4622,U_4621] :
      ( hBOOL(hAPP_f483496539l_bool(ord_le1987888477r_bool(U_4621),U_4622))
      | ? [U_4620] :
          ( ~ hBOOL(hAPP_f483496539l_bool(hAPP_P7095645l_bool(member1601084734t_char,U_4620),U_4622))
          & hBOOL(hAPP_f483496539l_bool(hAPP_P7095645l_bool(member1601084734t_char,U_4620),U_4621)) ) ),
    inference(variable_rename,[status(thm)],[f_876_1]) ).

fof(f_876_3,plain,
    ! [U_4622,U_4621] :
      ( hBOOL(hAPP_f483496539l_bool(ord_le1987888477r_bool(U_4621),U_4622))
      | ( ~ hBOOL(hAPP_f483496539l_bool(hAPP_P7095645l_bool(member1601084734t_char,sK750(U_4622,U_4621)),U_4622))
        & hBOOL(hAPP_f483496539l_bool(hAPP_P7095645l_bool(member1601084734t_char,sK750(U_4622,U_4621)),U_4621)) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK750]),skolemize(U_4620,sK750(U_4622,U_4621))],[f_876_2]) ).

cnf(f_876_4,plain,
    ( hBOOL(hAPP_f483496539l_bool(hAPP_P7095645l_bool(member1601084734t_char,sK750(U_4622,U_4621)),U_4621))
    | hBOOL(hAPP_f483496539l_bool(ord_le1987888477r_bool(U_4621),U_4622)) ),
    inference(clausify,[status(thm)],[f_876_3]) ).

cnf(f_876_5,plain,
    ( ~ hBOOL(hAPP_f483496539l_bool(hAPP_P7095645l_bool(member1601084734t_char,sK750(U_4622,U_4621)),U_4622))
    | hBOOL(hAPP_f483496539l_bool(ord_le1987888477r_bool(U_4621),U_4622)) ),
    inference(clausify,[status(thm)],[f_876_3]) ).

fof(f_877_1,plain,
    ! [B_1,A_2] :
      ( hBOOL(hAPP_f515912112l_bool(ord_le117566470r_bool(A_2),B_1))
      | ? [X_1] :
          ( ~ hBOOL(hAPP_f515912112l_bool(hAPP_P205570445l_bool(member1467889965t_char,X_1),B_1))
          & hBOOL(hAPP_f515912112l_bool(hAPP_P205570445l_bool(member1467889965t_char,X_1),A_2)) ) ),
    inference(fof_nnf,[status(thm)],[fact_735_subsetI]) ).

fof(f_877_2,plain,
    ! [U_4625,U_4624] :
      ( hBOOL(hAPP_f515912112l_bool(ord_le117566470r_bool(U_4624),U_4625))
      | ? [U_4623] :
          ( ~ hBOOL(hAPP_f515912112l_bool(hAPP_P205570445l_bool(member1467889965t_char,U_4623),U_4625))
          & hBOOL(hAPP_f515912112l_bool(hAPP_P205570445l_bool(member1467889965t_char,U_4623),U_4624)) ) ),
    inference(variable_rename,[status(thm)],[f_877_1]) ).

fof(f_877_3,plain,
    ! [U_4625,U_4624] :
      ( hBOOL(hAPP_f515912112l_bool(ord_le117566470r_bool(U_4624),U_4625))
      | ( ~ hBOOL(hAPP_f515912112l_bool(hAPP_P205570445l_bool(member1467889965t_char,sK751(U_4625,U_4624)),U_4625))
        & hBOOL(hAPP_f515912112l_bool(hAPP_P205570445l_bool(member1467889965t_char,sK751(U_4625,U_4624)),U_4624)) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK751]),skolemize(U_4623,sK751(U_4625,U_4624))],[f_877_2]) ).

cnf(f_877_4,plain,
    ( hBOOL(hAPP_f515912112l_bool(hAPP_P205570445l_bool(member1467889965t_char,sK751(U_4625,U_4624)),U_4624))
    | hBOOL(hAPP_f515912112l_bool(ord_le117566470r_bool(U_4624),U_4625)) ),
    inference(clausify,[status(thm)],[f_877_3]) ).

cnf(f_877_5,plain,
    ( ~ hBOOL(hAPP_f515912112l_bool(hAPP_P205570445l_bool(member1467889965t_char,sK751(U_4625,U_4624)),U_4625))
    | hBOOL(hAPP_f515912112l_bool(ord_le117566470r_bool(U_4624),U_4625)) ),
    inference(clausify,[status(thm)],[f_877_3]) ).

fof(f_878_1,plain,
    ! [B_1,A_2] :
      ( hBOOL(hAPP_f458849545l_bool(ord_le1438917387l_bool(A_2),B_1))
      | ? [X_1] :
          ( ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,X_1),B_1))
          & hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,X_1),A_2)) ) ),
    inference(fof_nnf,[status(thm)],[fact_736_subsetI]) ).

fof(f_878_2,plain,
    ! [U_4628,U_4627] :
      ( hBOOL(hAPP_f458849545l_bool(ord_le1438917387l_bool(U_4627),U_4628))
      | ? [U_4626] :
          ( ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,U_4626),U_4628))
          & hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,U_4626),U_4627)) ) ),
    inference(variable_rename,[status(thm)],[f_878_1]) ).

fof(f_878_3,plain,
    ! [U_4628,U_4627] :
      ( hBOOL(hAPP_f458849545l_bool(ord_le1438917387l_bool(U_4627),U_4628))
      | ( ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,sK752(U_4628,U_4627)),U_4628))
        & hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,sK752(U_4628,U_4627)),U_4627)) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK752]),skolemize(U_4626,sK752(U_4628,U_4627))],[f_878_2]) ).

cnf(f_878_4,plain,
    ( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,sK752(U_4628,U_4627)),U_4627))
    | hBOOL(hAPP_f458849545l_bool(ord_le1438917387l_bool(U_4627),U_4628)) ),
    inference(clausify,[status(thm)],[f_878_3]) ).

cnf(f_878_5,plain,
    ( ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,sK752(U_4628,U_4627)),U_4628))
    | hBOOL(hAPP_f458849545l_bool(ord_le1438917387l_bool(U_4627),U_4628)) ),
    inference(clausify,[status(thm)],[f_878_3]) ).

fof(f_879_1,plain,
    ! [B_1,A_2] :
      ( hBOOL(hAPP_f54304608l_bool(ord_le1568362934t_bool(A_2),B_1))
      | ? [X_1] :
          ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),B_1))
          & hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),A_2)) ) ),
    inference(fof_nnf,[status(thm)],[fact_737_subsetI]) ).

fof(f_879_2,plain,
    ! [U_4631,U_4630] :
      ( hBOOL(hAPP_f54304608l_bool(ord_le1568362934t_bool(U_4630),U_4631))
      | ? [U_4629] :
          ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,U_4629),U_4631))
          & hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,U_4629),U_4630)) ) ),
    inference(variable_rename,[status(thm)],[f_879_1]) ).

fof(f_879_3,plain,
    ! [U_4631,U_4630] :
      ( hBOOL(hAPP_f54304608l_bool(ord_le1568362934t_bool(U_4630),U_4631))
      | ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,sK753(U_4631,U_4630)),U_4631))
        & hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,sK753(U_4631,U_4630)),U_4630)) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK753]),skolemize(U_4629,sK753(U_4631,U_4630))],[f_879_2]) ).

cnf(f_879_4,plain,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,sK753(U_4631,U_4630)),U_4630))
    | hBOOL(hAPP_f54304608l_bool(ord_le1568362934t_bool(U_4630),U_4631)) ),
    inference(clausify,[status(thm)],[f_879_3]) ).

cnf(f_879_5,plain,
    ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,sK753(U_4631,U_4630)),U_4631))
    | hBOOL(hAPP_f54304608l_bool(ord_le1568362934t_bool(U_4630),U_4631)) ),
    inference(clausify,[status(thm)],[f_879_3]) ).

fof(f_880_1,plain,
    ! [B_1,A_2] :
      ( hBOOL(hAPP_f2106398425l_bool(ord_le640323803r_bool(A_2),B_1))
      | ? [X_1] :
          ( ~ hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,X_1),B_1))
          & hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,X_1),A_2)) ) ),
    inference(fof_nnf,[status(thm)],[fact_738_subsetI]) ).

fof(f_880_2,plain,
    ! [U_4634,U_4633] :
      ( hBOOL(hAPP_f2106398425l_bool(ord_le640323803r_bool(U_4633),U_4634))
      | ? [U_4632] :
          ( ~ hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,U_4632),U_4634))
          & hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,U_4632),U_4633)) ) ),
    inference(variable_rename,[status(thm)],[f_880_1]) ).

fof(f_880_3,plain,
    ! [U_4634,U_4633] :
      ( hBOOL(hAPP_f2106398425l_bool(ord_le640323803r_bool(U_4633),U_4634))
      | ( ~ hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,sK754(U_4634,U_4633)),U_4634))
        & hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,sK754(U_4634,U_4633)),U_4633)) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK754]),skolemize(U_4632,sK754(U_4634,U_4633))],[f_880_2]) ).

cnf(f_880_4,plain,
    ( hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,sK754(U_4634,U_4633)),U_4633))
    | hBOOL(hAPP_f2106398425l_bool(ord_le640323803r_bool(U_4633),U_4634)) ),
    inference(clausify,[status(thm)],[f_880_3]) ).

cnf(f_880_5,plain,
    ( ~ hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,sK754(U_4634,U_4633)),U_4634))
    | hBOOL(hAPP_f2106398425l_bool(ord_le640323803r_bool(U_4633),U_4634)) ),
    inference(clausify,[status(thm)],[f_880_3]) ).

fof(f_881_1,plain,
    ! [B_1,A_2] :
      ( hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(A_2),B_1))
      | ? [X_1] :
          ( ~ hBOOL(hAPP_f986089162l_bool(hAPP_l1903254203l_bool(member_list_char,X_1),B_1))
          & hBOOL(hAPP_f986089162l_bool(hAPP_l1903254203l_bool(member_list_char,X_1),A_2)) ) ),
    inference(fof_nnf,[status(thm)],[fact_739_subsetI]) ).

fof(f_881_2,plain,
    ! [U_4637,U_4636] :
      ( hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(U_4636),U_4637))
      | ? [U_4635] :
          ( ~ hBOOL(hAPP_f986089162l_bool(hAPP_l1903254203l_bool(member_list_char,U_4635),U_4637))
          & hBOOL(hAPP_f986089162l_bool(hAPP_l1903254203l_bool(member_list_char,U_4635),U_4636)) ) ),
    inference(variable_rename,[status(thm)],[f_881_1]) ).

fof(f_881_3,plain,
    ! [U_4637,U_4636] :
      ( hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(U_4636),U_4637))
      | ( ~ hBOOL(hAPP_f986089162l_bool(hAPP_l1903254203l_bool(member_list_char,sK755(U_4637,U_4636)),U_4637))
        & hBOOL(hAPP_f986089162l_bool(hAPP_l1903254203l_bool(member_list_char,sK755(U_4637,U_4636)),U_4636)) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK755]),skolemize(U_4635,sK755(U_4637,U_4636))],[f_881_2]) ).

cnf(f_881_4,plain,
    ( hBOOL(hAPP_f986089162l_bool(hAPP_l1903254203l_bool(member_list_char,sK755(U_4637,U_4636)),U_4636))
    | hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(U_4636),U_4637)) ),
    inference(clausify,[status(thm)],[f_881_3]) ).

cnf(f_881_5,plain,
    ( ~ hBOOL(hAPP_f986089162l_bool(hAPP_l1903254203l_bool(member_list_char,sK755(U_4637,U_4636)),U_4637))
    | hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(U_4636),U_4637)) ),
    inference(clausify,[status(thm)],[f_881_3]) ).

fof(f_882_1,plain,
    ! [B_1,A_2] :
      ( hBOOL(hAPP_f1453283057l_bool(ord_le1776148979l_bool(A_2),B_1))
      | ? [X_1] :
          ( ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,X_1),B_1))
          & hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,X_1),A_2)) ) ),
    inference(fof_nnf,[status(thm)],[fact_740_subsetI]) ).

fof(f_882_2,plain,
    ! [U_4640,U_4639] :
      ( hBOOL(hAPP_f1453283057l_bool(ord_le1776148979l_bool(U_4639),U_4640))
      | ? [U_4638] :
          ( ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,U_4638),U_4640))
          & hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,U_4638),U_4639)) ) ),
    inference(variable_rename,[status(thm)],[f_882_1]) ).

fof(f_882_3,plain,
    ! [U_4640,U_4639] :
      ( hBOOL(hAPP_f1453283057l_bool(ord_le1776148979l_bool(U_4639),U_4640))
      | ( ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,sK756(U_4640,U_4639)),U_4640))
        & hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,sK756(U_4640,U_4639)),U_4639)) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK756]),skolemize(U_4638,sK756(U_4640,U_4639))],[f_882_2]) ).

cnf(f_882_4,plain,
    ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,sK756(U_4640,U_4639)),U_4639))
    | hBOOL(hAPP_f1453283057l_bool(ord_le1776148979l_bool(U_4639),U_4640)) ),
    inference(clausify,[status(thm)],[f_882_3]) ).

cnf(f_882_5,plain,
    ( ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,sK756(U_4640,U_4639)),U_4640))
    | hBOOL(hAPP_f1453283057l_bool(ord_le1776148979l_bool(U_4639),U_4640)) ),
    inference(clausify,[status(thm)],[f_882_3]) ).

fof(f_883_1,plain,
    ! [Xa_1,Xb_1,Za,Zb,R_1] :
      ( ? [A_1,B_2] :
          ( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,A_1),B_2)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Za),Zb))),transi374442731on_val(R_1)))
          & hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Xa_1),Xb_1)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,A_1),B_2))),R_1)) )
      | hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Xa_1),Xb_1) = hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Za),Zb)
      | ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Xa_1),Xb_1)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Za),Zb))),transi374442731on_val(R_1))) ),
    inference(fof_nnf,[status(thm)],[fact_741_converse__rtranclE2]) ).

fof(f_883_2,plain,
    ! [U_4647,U_4646,U_4645,U_4644,U_4643] :
      ( ? [U_4642,U_4641] :
          ( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_4642),U_4641)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_4645),U_4644))),transi374442731on_val(U_4643)))
          & hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_4647),U_4646)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_4642),U_4641))),U_4643)) )
      | hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_4647),U_4646) = hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_4645),U_4644)
      | ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_4647),U_4646)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_4645),U_4644))),transi374442731on_val(U_4643))) ),
    inference(variable_rename,[status(thm)],[f_883_1]) ).

fof(f_883_3,plain,
    ! [U_4647,U_4646,U_4645,U_4644,U_4643] :
      ( ? [U_4641] :
          ( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,sK757(U_4647,U_4646,U_4645,U_4644,U_4643)),U_4641)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_4645),U_4644))),transi374442731on_val(U_4643)))
          & hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_4647),U_4646)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,sK757(U_4647,U_4646,U_4645,U_4644,U_4643)),U_4641))),U_4643)) )
      | hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_4647),U_4646) = hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_4645),U_4644)
      | ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_4647),U_4646)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_4645),U_4644))),transi374442731on_val(U_4643))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK757]),skolemize(U_4642,sK757(U_4647,U_4646,U_4645,U_4644,U_4643))],[f_883_2]) ).

fof(f_883_4,plain,
    ! [U_4647,U_4646,U_4645,U_4644,U_4643] :
      ( ( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,sK757(U_4647,U_4646,U_4645,U_4644,U_4643)),sK758(U_4647,U_4646,U_4645,U_4644,U_4643))),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_4645),U_4644))),transi374442731on_val(U_4643)))
        & hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_4647),U_4646)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,sK757(U_4647,U_4646,U_4645,U_4644,U_4643)),sK758(U_4647,U_4646,U_4645,U_4644,U_4643)))),U_4643)) )
      | hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_4647),U_4646) = hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_4645),U_4644)
      | ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_4647),U_4646)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_4645),U_4644))),transi374442731on_val(U_4643))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK758]),skolemize(U_4641,sK758(U_4647,U_4646,U_4645,U_4644,U_4643))],[f_883_3]) ).

cnf(f_883_5,plain,
    ( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_4647),U_4646)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,sK757(U_4647,U_4646,U_4645,U_4644,U_4643)),sK758(U_4647,U_4646,U_4645,U_4644,U_4643)))),U_4643))
    | hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_4647),U_4646) = hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_4645),U_4644)
    | ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_4647),U_4646)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_4645),U_4644))),transi374442731on_val(U_4643))) ),
    inference(clausify,[status(thm)],[f_883_4]) ).

cnf(f_883_6,plain,
    ( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,sK757(U_4647,U_4646,U_4645,U_4644,U_4643)),sK758(U_4647,U_4646,U_4645,U_4644,U_4643))),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_4645),U_4644))),transi374442731on_val(U_4643)))
    | hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_4647),U_4646) = hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_4645),U_4644)
    | ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_4647),U_4646)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_4645),U_4644))),transi374442731on_val(U_4643))) ),
    inference(clausify,[status(thm)],[f_883_4]) ).

fof(f_884_1,plain,
    ! [Xa_1,Xb_1,Za,Zb,R_1] :
      ( ? [A_1,B_2] :
          ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A_1),B_2)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Za),Zb))),transi2024712006on_val(R_1)))
          & hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Xa_1),Xb_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A_1),B_2))),R_1)) )
      | hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Xa_1),Xb_1) = hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Za),Zb)
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Xa_1),Xb_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Za),Zb))),transi2024712006on_val(R_1))) ),
    inference(fof_nnf,[status(thm)],[fact_742_converse__rtranclE2]) ).

fof(f_884_2,plain,
    ! [U_4654,U_4653,U_4652,U_4651,U_4650] :
      ( ? [U_4649,U_4648] :
          ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_4649),U_4648)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_4652),U_4651))),transi2024712006on_val(U_4650)))
          & hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_4654),U_4653)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_4649),U_4648))),U_4650)) )
      | hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_4654),U_4653) = hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_4652),U_4651)
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_4654),U_4653)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_4652),U_4651))),transi2024712006on_val(U_4650))) ),
    inference(variable_rename,[status(thm)],[f_884_1]) ).

fof(f_884_3,plain,
    ! [U_4654,U_4653,U_4652,U_4651,U_4650] :
      ( ? [U_4648] :
          ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK759(U_4654,U_4653,U_4652,U_4651,U_4650)),U_4648)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_4652),U_4651))),transi2024712006on_val(U_4650)))
          & hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_4654),U_4653)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK759(U_4654,U_4653,U_4652,U_4651,U_4650)),U_4648))),U_4650)) )
      | hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_4654),U_4653) = hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_4652),U_4651)
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_4654),U_4653)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_4652),U_4651))),transi2024712006on_val(U_4650))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK759]),skolemize(U_4649,sK759(U_4654,U_4653,U_4652,U_4651,U_4650))],[f_884_2]) ).

fof(f_884_4,plain,
    ! [U_4654,U_4653,U_4652,U_4651,U_4650] :
      ( ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK759(U_4654,U_4653,U_4652,U_4651,U_4650)),sK760(U_4654,U_4653,U_4652,U_4651,U_4650))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_4652),U_4651))),transi2024712006on_val(U_4650)))
        & hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_4654),U_4653)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK759(U_4654,U_4653,U_4652,U_4651,U_4650)),sK760(U_4654,U_4653,U_4652,U_4651,U_4650)))),U_4650)) )
      | hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_4654),U_4653) = hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_4652),U_4651)
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_4654),U_4653)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_4652),U_4651))),transi2024712006on_val(U_4650))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK760]),skolemize(U_4648,sK760(U_4654,U_4653,U_4652,U_4651,U_4650))],[f_884_3]) ).

cnf(f_884_5,plain,
    ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_4654),U_4653)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK759(U_4654,U_4653,U_4652,U_4651,U_4650)),sK760(U_4654,U_4653,U_4652,U_4651,U_4650)))),U_4650))
    | hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_4654),U_4653) = hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_4652),U_4651)
    | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_4654),U_4653)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_4652),U_4651))),transi2024712006on_val(U_4650))) ),
    inference(clausify,[status(thm)],[f_884_4]) ).

cnf(f_884_6,plain,
    ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK759(U_4654,U_4653,U_4652,U_4651,U_4650)),sK760(U_4654,U_4653,U_4652,U_4651,U_4650))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_4652),U_4651))),transi2024712006on_val(U_4650)))
    | hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_4654),U_4653) = hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_4652),U_4651)
    | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_4654),U_4653)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_4652),U_4651))),transi2024712006on_val(U_4650))) ),
    inference(clausify,[status(thm)],[f_884_4]) ).

fof(f_885_1,plain,
    ! [Xa_1,Xb_1,Za,Zb,R_1] :
      ( ? [A_1,B_2] :
          ( hBOOL(hAPP_f595031537l_bool(hAPP_P1862681481l_bool(member1999287380t_char,hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,A_1),B_2)),hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,Za),Zb))),transi198989188t_char(R_1)))
          & hBOOL(hAPP_f595031537l_bool(hAPP_P1862681481l_bool(member1999287380t_char,hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,Xa_1),Xb_1)),hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,A_1),B_2))),R_1)) )
      | hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,Xa_1),Xb_1) = hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,Za),Zb)
      | ~ hBOOL(hAPP_f595031537l_bool(hAPP_P1862681481l_bool(member1999287380t_char,hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,Xa_1),Xb_1)),hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,Za),Zb))),transi198989188t_char(R_1))) ),
    inference(fof_nnf,[status(thm)],[fact_743_converse__rtranclE2]) ).

fof(f_885_2,plain,
    ! [U_4661,U_4660,U_4659,U_4658,U_4657] :
      ( ? [U_4656,U_4655] :
          ( hBOOL(hAPP_f595031537l_bool(hAPP_P1862681481l_bool(member1999287380t_char,hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_4656),U_4655)),hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_4659),U_4658))),transi198989188t_char(U_4657)))
          & hBOOL(hAPP_f595031537l_bool(hAPP_P1862681481l_bool(member1999287380t_char,hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_4661),U_4660)),hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_4656),U_4655))),U_4657)) )
      | hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_4661),U_4660) = hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_4659),U_4658)
      | ~ hBOOL(hAPP_f595031537l_bool(hAPP_P1862681481l_bool(member1999287380t_char,hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_4661),U_4660)),hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_4659),U_4658))),transi198989188t_char(U_4657))) ),
    inference(variable_rename,[status(thm)],[f_885_1]) ).

fof(f_885_3,plain,
    ! [U_4661,U_4660,U_4659,U_4658,U_4657] :
      ( ? [U_4655] :
          ( hBOOL(hAPP_f595031537l_bool(hAPP_P1862681481l_bool(member1999287380t_char,hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,sK761(U_4661,U_4660,U_4659,U_4658,U_4657)),U_4655)),hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_4659),U_4658))),transi198989188t_char(U_4657)))
          & hBOOL(hAPP_f595031537l_bool(hAPP_P1862681481l_bool(member1999287380t_char,hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_4661),U_4660)),hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,sK761(U_4661,U_4660,U_4659,U_4658,U_4657)),U_4655))),U_4657)) )
      | hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_4661),U_4660) = hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_4659),U_4658)
      | ~ hBOOL(hAPP_f595031537l_bool(hAPP_P1862681481l_bool(member1999287380t_char,hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_4661),U_4660)),hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_4659),U_4658))),transi198989188t_char(U_4657))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK761]),skolemize(U_4656,sK761(U_4661,U_4660,U_4659,U_4658,U_4657))],[f_885_2]) ).

fof(f_885_4,plain,
    ! [U_4661,U_4660,U_4659,U_4658,U_4657] :
      ( ( hBOOL(hAPP_f595031537l_bool(hAPP_P1862681481l_bool(member1999287380t_char,hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,sK761(U_4661,U_4660,U_4659,U_4658,U_4657)),sK762(U_4661,U_4660,U_4659,U_4658,U_4657))),hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_4659),U_4658))),transi198989188t_char(U_4657)))
        & hBOOL(hAPP_f595031537l_bool(hAPP_P1862681481l_bool(member1999287380t_char,hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_4661),U_4660)),hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,sK761(U_4661,U_4660,U_4659,U_4658,U_4657)),sK762(U_4661,U_4660,U_4659,U_4658,U_4657)))),U_4657)) )
      | hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_4661),U_4660) = hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_4659),U_4658)
      | ~ hBOOL(hAPP_f595031537l_bool(hAPP_P1862681481l_bool(member1999287380t_char,hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_4661),U_4660)),hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_4659),U_4658))),transi198989188t_char(U_4657))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK762]),skolemize(U_4655,sK762(U_4661,U_4660,U_4659,U_4658,U_4657))],[f_885_3]) ).

cnf(f_885_5,plain,
    ( hBOOL(hAPP_f595031537l_bool(hAPP_P1862681481l_bool(member1999287380t_char,hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_4661),U_4660)),hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,sK761(U_4661,U_4660,U_4659,U_4658,U_4657)),sK762(U_4661,U_4660,U_4659,U_4658,U_4657)))),U_4657))
    | hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_4661),U_4660) = hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_4659),U_4658)
    | ~ hBOOL(hAPP_f595031537l_bool(hAPP_P1862681481l_bool(member1999287380t_char,hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_4661),U_4660)),hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_4659),U_4658))),transi198989188t_char(U_4657))) ),
    inference(clausify,[status(thm)],[f_885_4]) ).

cnf(f_885_6,plain,
    ( hBOOL(hAPP_f595031537l_bool(hAPP_P1862681481l_bool(member1999287380t_char,hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,sK761(U_4661,U_4660,U_4659,U_4658,U_4657)),sK762(U_4661,U_4660,U_4659,U_4658,U_4657))),hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_4659),U_4658))),transi198989188t_char(U_4657)))
    | hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_4661),U_4660) = hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_4659),U_4658)
    | ~ hBOOL(hAPP_f595031537l_bool(hAPP_P1862681481l_bool(member1999287380t_char,hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_4661),U_4660)),hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_4659),U_4658))),transi198989188t_char(U_4657))) ),
    inference(clausify,[status(thm)],[f_885_4]) ).

fof(f_886_1,plain,
    ! [Xa_1,Xb_1,Za,Zb,R_1] :
      ( ? [A_1,B_2] :
          ( hBOOL(hAPP_f126445617l_bool(hAPP_P1313790473l_bool(member1551446420t_char,hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,A_1),B_2)),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,Za),Zb))),transi772168185t_char(R_1)))
          & hBOOL(hAPP_f126445617l_bool(hAPP_P1313790473l_bool(member1551446420t_char,hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,Xa_1),Xb_1)),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,A_1),B_2))),R_1)) )
      | hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,Xa_1),Xb_1) = hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,Za),Zb)
      | ~ hBOOL(hAPP_f126445617l_bool(hAPP_P1313790473l_bool(member1551446420t_char,hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,Xa_1),Xb_1)),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,Za),Zb))),transi772168185t_char(R_1))) ),
    inference(fof_nnf,[status(thm)],[fact_744_converse__rtranclE2]) ).

fof(f_886_2,plain,
    ! [U_4668,U_4667,U_4666,U_4665,U_4664] :
      ( ? [U_4663,U_4662] :
          ( hBOOL(hAPP_f126445617l_bool(hAPP_P1313790473l_bool(member1551446420t_char,hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_4663),U_4662)),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_4666),U_4665))),transi772168185t_char(U_4664)))
          & hBOOL(hAPP_f126445617l_bool(hAPP_P1313790473l_bool(member1551446420t_char,hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_4668),U_4667)),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_4663),U_4662))),U_4664)) )
      | hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_4668),U_4667) = hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_4666),U_4665)
      | ~ hBOOL(hAPP_f126445617l_bool(hAPP_P1313790473l_bool(member1551446420t_char,hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_4668),U_4667)),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_4666),U_4665))),transi772168185t_char(U_4664))) ),
    inference(variable_rename,[status(thm)],[f_886_1]) ).

fof(f_886_3,plain,
    ! [U_4668,U_4667,U_4666,U_4665,U_4664] :
      ( ? [U_4662] :
          ( hBOOL(hAPP_f126445617l_bool(hAPP_P1313790473l_bool(member1551446420t_char,hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,sK763(U_4668,U_4667,U_4666,U_4665,U_4664)),U_4662)),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_4666),U_4665))),transi772168185t_char(U_4664)))
          & hBOOL(hAPP_f126445617l_bool(hAPP_P1313790473l_bool(member1551446420t_char,hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_4668),U_4667)),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,sK763(U_4668,U_4667,U_4666,U_4665,U_4664)),U_4662))),U_4664)) )
      | hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_4668),U_4667) = hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_4666),U_4665)
      | ~ hBOOL(hAPP_f126445617l_bool(hAPP_P1313790473l_bool(member1551446420t_char,hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_4668),U_4667)),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_4666),U_4665))),transi772168185t_char(U_4664))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK763]),skolemize(U_4663,sK763(U_4668,U_4667,U_4666,U_4665,U_4664))],[f_886_2]) ).

fof(f_886_4,plain,
    ! [U_4668,U_4667,U_4666,U_4665,U_4664] :
      ( ( hBOOL(hAPP_f126445617l_bool(hAPP_P1313790473l_bool(member1551446420t_char,hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,sK763(U_4668,U_4667,U_4666,U_4665,U_4664)),sK764(U_4668,U_4667,U_4666,U_4665,U_4664))),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_4666),U_4665))),transi772168185t_char(U_4664)))
        & hBOOL(hAPP_f126445617l_bool(hAPP_P1313790473l_bool(member1551446420t_char,hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_4668),U_4667)),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,sK763(U_4668,U_4667,U_4666,U_4665,U_4664)),sK764(U_4668,U_4667,U_4666,U_4665,U_4664)))),U_4664)) )
      | hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_4668),U_4667) = hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_4666),U_4665)
      | ~ hBOOL(hAPP_f126445617l_bool(hAPP_P1313790473l_bool(member1551446420t_char,hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_4668),U_4667)),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_4666),U_4665))),transi772168185t_char(U_4664))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK764]),skolemize(U_4662,sK764(U_4668,U_4667,U_4666,U_4665,U_4664))],[f_886_3]) ).

cnf(f_886_5,plain,
    ( hBOOL(hAPP_f126445617l_bool(hAPP_P1313790473l_bool(member1551446420t_char,hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_4668),U_4667)),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,sK763(U_4668,U_4667,U_4666,U_4665,U_4664)),sK764(U_4668,U_4667,U_4666,U_4665,U_4664)))),U_4664))
    | hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_4668),U_4667) = hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_4666),U_4665)
    | ~ hBOOL(hAPP_f126445617l_bool(hAPP_P1313790473l_bool(member1551446420t_char,hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_4668),U_4667)),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_4666),U_4665))),transi772168185t_char(U_4664))) ),
    inference(clausify,[status(thm)],[f_886_4]) ).

cnf(f_886_6,plain,
    ( hBOOL(hAPP_f126445617l_bool(hAPP_P1313790473l_bool(member1551446420t_char,hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,sK763(U_4668,U_4667,U_4666,U_4665,U_4664)),sK764(U_4668,U_4667,U_4666,U_4665,U_4664))),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_4666),U_4665))),transi772168185t_char(U_4664)))
    | hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_4668),U_4667) = hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_4666),U_4665)
    | ~ hBOOL(hAPP_f126445617l_bool(hAPP_P1313790473l_bool(member1551446420t_char,hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_4668),U_4667)),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_4666),U_4665))),transi772168185t_char(U_4664))) ),
    inference(clausify,[status(thm)],[f_886_4]) ).

fof(f_887_1,plain,
    ! [Xa_1,Xb_1,Za,Zb,R_1] :
      ( ? [A_1,B_2] :
          ( hBOOL(hAPP_f272179441l_bool(hAPP_P396425609l_bool(member1607118676t_char,hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,A_1),B_2)),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,Za),Zb))),transi2005320128t_char(R_1)))
          & hBOOL(hAPP_f272179441l_bool(hAPP_P396425609l_bool(member1607118676t_char,hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,Xa_1),Xb_1)),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,A_1),B_2))),R_1)) )
      | hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,Xa_1),Xb_1) = hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,Za),Zb)
      | ~ hBOOL(hAPP_f272179441l_bool(hAPP_P396425609l_bool(member1607118676t_char,hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,Xa_1),Xb_1)),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,Za),Zb))),transi2005320128t_char(R_1))) ),
    inference(fof_nnf,[status(thm)],[fact_745_converse__rtranclE2]) ).

fof(f_887_2,plain,
    ! [U_4675,U_4674,U_4673,U_4672,U_4671] :
      ( ? [U_4670,U_4669] :
          ( hBOOL(hAPP_f272179441l_bool(hAPP_P396425609l_bool(member1607118676t_char,hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_4670),U_4669)),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_4673),U_4672))),transi2005320128t_char(U_4671)))
          & hBOOL(hAPP_f272179441l_bool(hAPP_P396425609l_bool(member1607118676t_char,hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_4675),U_4674)),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_4670),U_4669))),U_4671)) )
      | hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_4675),U_4674) = hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_4673),U_4672)
      | ~ hBOOL(hAPP_f272179441l_bool(hAPP_P396425609l_bool(member1607118676t_char,hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_4675),U_4674)),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_4673),U_4672))),transi2005320128t_char(U_4671))) ),
    inference(variable_rename,[status(thm)],[f_887_1]) ).

fof(f_887_3,plain,
    ! [U_4675,U_4674,U_4673,U_4672,U_4671] :
      ( ? [U_4669] :
          ( hBOOL(hAPP_f272179441l_bool(hAPP_P396425609l_bool(member1607118676t_char,hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,sK765(U_4675,U_4674,U_4673,U_4672,U_4671)),U_4669)),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_4673),U_4672))),transi2005320128t_char(U_4671)))
          & hBOOL(hAPP_f272179441l_bool(hAPP_P396425609l_bool(member1607118676t_char,hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_4675),U_4674)),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,sK765(U_4675,U_4674,U_4673,U_4672,U_4671)),U_4669))),U_4671)) )
      | hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_4675),U_4674) = hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_4673),U_4672)
      | ~ hBOOL(hAPP_f272179441l_bool(hAPP_P396425609l_bool(member1607118676t_char,hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_4675),U_4674)),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_4673),U_4672))),transi2005320128t_char(U_4671))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK765]),skolemize(U_4670,sK765(U_4675,U_4674,U_4673,U_4672,U_4671))],[f_887_2]) ).

fof(f_887_4,plain,
    ! [U_4675,U_4674,U_4673,U_4672,U_4671] :
      ( ( hBOOL(hAPP_f272179441l_bool(hAPP_P396425609l_bool(member1607118676t_char,hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,sK765(U_4675,U_4674,U_4673,U_4672,U_4671)),sK766(U_4675,U_4674,U_4673,U_4672,U_4671))),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_4673),U_4672))),transi2005320128t_char(U_4671)))
        & hBOOL(hAPP_f272179441l_bool(hAPP_P396425609l_bool(member1607118676t_char,hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_4675),U_4674)),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,sK765(U_4675,U_4674,U_4673,U_4672,U_4671)),sK766(U_4675,U_4674,U_4673,U_4672,U_4671)))),U_4671)) )
      | hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_4675),U_4674) = hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_4673),U_4672)
      | ~ hBOOL(hAPP_f272179441l_bool(hAPP_P396425609l_bool(member1607118676t_char,hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_4675),U_4674)),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_4673),U_4672))),transi2005320128t_char(U_4671))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK766]),skolemize(U_4669,sK766(U_4675,U_4674,U_4673,U_4672,U_4671))],[f_887_3]) ).

cnf(f_887_5,plain,
    ( hBOOL(hAPP_f272179441l_bool(hAPP_P396425609l_bool(member1607118676t_char,hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_4675),U_4674)),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,sK765(U_4675,U_4674,U_4673,U_4672,U_4671)),sK766(U_4675,U_4674,U_4673,U_4672,U_4671)))),U_4671))
    | hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_4675),U_4674) = hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_4673),U_4672)
    | ~ hBOOL(hAPP_f272179441l_bool(hAPP_P396425609l_bool(member1607118676t_char,hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_4675),U_4674)),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_4673),U_4672))),transi2005320128t_char(U_4671))) ),
    inference(clausify,[status(thm)],[f_887_4]) ).

cnf(f_887_6,plain,
    ( hBOOL(hAPP_f272179441l_bool(hAPP_P396425609l_bool(member1607118676t_char,hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,sK765(U_4675,U_4674,U_4673,U_4672,U_4671)),sK766(U_4675,U_4674,U_4673,U_4672,U_4671))),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_4673),U_4672))),transi2005320128t_char(U_4671)))
    | hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_4675),U_4674) = hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_4673),U_4672)
    | ~ hBOOL(hAPP_f272179441l_bool(hAPP_P396425609l_bool(member1607118676t_char,hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_4675),U_4674)),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_4673),U_4672))),transi2005320128t_char(U_4671))) ),
    inference(clausify,[status(thm)],[f_887_4]) ).

fof(f_888_1,plain,
    ! [Xa_1,Xb_1,Za,Zb,R_1] :
      ( ? [A_1,B_2] :
          ( hBOOL(hAPP_f538118321l_bool(hAPP_P1390376713l_bool(member162552852t_char,hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,A_1),B_2)),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,Za),Zb))),transi1123801095t_char(R_1)))
          & hBOOL(hAPP_f538118321l_bool(hAPP_P1390376713l_bool(member162552852t_char,hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,Xa_1),Xb_1)),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,A_1),B_2))),R_1)) )
      | hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,Xa_1),Xb_1) = hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,Za),Zb)
      | ~ hBOOL(hAPP_f538118321l_bool(hAPP_P1390376713l_bool(member162552852t_char,hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,Xa_1),Xb_1)),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,Za),Zb))),transi1123801095t_char(R_1))) ),
    inference(fof_nnf,[status(thm)],[fact_746_converse__rtranclE2]) ).

fof(f_888_2,plain,
    ! [U_4682,U_4681,U_4680,U_4679,U_4678] :
      ( ? [U_4677,U_4676] :
          ( hBOOL(hAPP_f538118321l_bool(hAPP_P1390376713l_bool(member162552852t_char,hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_4677),U_4676)),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_4680),U_4679))),transi1123801095t_char(U_4678)))
          & hBOOL(hAPP_f538118321l_bool(hAPP_P1390376713l_bool(member162552852t_char,hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_4682),U_4681)),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_4677),U_4676))),U_4678)) )
      | hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_4682),U_4681) = hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_4680),U_4679)
      | ~ hBOOL(hAPP_f538118321l_bool(hAPP_P1390376713l_bool(member162552852t_char,hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_4682),U_4681)),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_4680),U_4679))),transi1123801095t_char(U_4678))) ),
    inference(variable_rename,[status(thm)],[f_888_1]) ).

fof(f_888_3,plain,
    ! [U_4682,U_4681,U_4680,U_4679,U_4678] :
      ( ? [U_4676] :
          ( hBOOL(hAPP_f538118321l_bool(hAPP_P1390376713l_bool(member162552852t_char,hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,sK767(U_4682,U_4681,U_4680,U_4679,U_4678)),U_4676)),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_4680),U_4679))),transi1123801095t_char(U_4678)))
          & hBOOL(hAPP_f538118321l_bool(hAPP_P1390376713l_bool(member162552852t_char,hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_4682),U_4681)),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,sK767(U_4682,U_4681,U_4680,U_4679,U_4678)),U_4676))),U_4678)) )
      | hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_4682),U_4681) = hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_4680),U_4679)
      | ~ hBOOL(hAPP_f538118321l_bool(hAPP_P1390376713l_bool(member162552852t_char,hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_4682),U_4681)),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_4680),U_4679))),transi1123801095t_char(U_4678))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK767]),skolemize(U_4677,sK767(U_4682,U_4681,U_4680,U_4679,U_4678))],[f_888_2]) ).

fof(f_888_4,plain,
    ! [U_4682,U_4681,U_4680,U_4679,U_4678] :
      ( ( hBOOL(hAPP_f538118321l_bool(hAPP_P1390376713l_bool(member162552852t_char,hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,sK767(U_4682,U_4681,U_4680,U_4679,U_4678)),sK768(U_4682,U_4681,U_4680,U_4679,U_4678))),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_4680),U_4679))),transi1123801095t_char(U_4678)))
        & hBOOL(hAPP_f538118321l_bool(hAPP_P1390376713l_bool(member162552852t_char,hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_4682),U_4681)),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,sK767(U_4682,U_4681,U_4680,U_4679,U_4678)),sK768(U_4682,U_4681,U_4680,U_4679,U_4678)))),U_4678)) )
      | hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_4682),U_4681) = hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_4680),U_4679)
      | ~ hBOOL(hAPP_f538118321l_bool(hAPP_P1390376713l_bool(member162552852t_char,hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_4682),U_4681)),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_4680),U_4679))),transi1123801095t_char(U_4678))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK768]),skolemize(U_4676,sK768(U_4682,U_4681,U_4680,U_4679,U_4678))],[f_888_3]) ).

cnf(f_888_5,plain,
    ( hBOOL(hAPP_f538118321l_bool(hAPP_P1390376713l_bool(member162552852t_char,hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_4682),U_4681)),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,sK767(U_4682,U_4681,U_4680,U_4679,U_4678)),sK768(U_4682,U_4681,U_4680,U_4679,U_4678)))),U_4678))
    | hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_4682),U_4681) = hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_4680),U_4679)
    | ~ hBOOL(hAPP_f538118321l_bool(hAPP_P1390376713l_bool(member162552852t_char,hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_4682),U_4681)),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_4680),U_4679))),transi1123801095t_char(U_4678))) ),
    inference(clausify,[status(thm)],[f_888_4]) ).

cnf(f_888_6,plain,
    ( hBOOL(hAPP_f538118321l_bool(hAPP_P1390376713l_bool(member162552852t_char,hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,sK767(U_4682,U_4681,U_4680,U_4679,U_4678)),sK768(U_4682,U_4681,U_4680,U_4679,U_4678))),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_4680),U_4679))),transi1123801095t_char(U_4678)))
    | hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_4682),U_4681) = hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_4680),U_4679)
    | ~ hBOOL(hAPP_f538118321l_bool(hAPP_P1390376713l_bool(member162552852t_char,hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_4682),U_4681)),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_4680),U_4679))),transi1123801095t_char(U_4678))) ),
    inference(clausify,[status(thm)],[f_888_4]) ).

fof(f_889_1,plain,
    ! [Xa_1,Xb_1,Za,Zb,R_1] :
      ( ? [A_1,B_2] :
          ( hBOOL(hAPP_f1145574243l_bool(hAPP_P2139822957l_bool(member1161907014t_char,hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,A_1),B_2)),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,Za),Zb))),transi1789604888t_char(R_1)))
          & hBOOL(hAPP_f1145574243l_bool(hAPP_P2139822957l_bool(member1161907014t_char,hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,Xa_1),Xb_1)),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,A_1),B_2))),R_1)) )
      | hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,Xa_1),Xb_1) = hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,Za),Zb)
      | ~ hBOOL(hAPP_f1145574243l_bool(hAPP_P2139822957l_bool(member1161907014t_char,hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,Xa_1),Xb_1)),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,Za),Zb))),transi1789604888t_char(R_1))) ),
    inference(fof_nnf,[status(thm)],[fact_747_converse__rtranclE2]) ).

fof(f_889_2,plain,
    ! [U_4689,U_4688,U_4687,U_4686,U_4685] :
      ( ? [U_4684,U_4683] :
          ( hBOOL(hAPP_f1145574243l_bool(hAPP_P2139822957l_bool(member1161907014t_char,hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_4684),U_4683)),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_4687),U_4686))),transi1789604888t_char(U_4685)))
          & hBOOL(hAPP_f1145574243l_bool(hAPP_P2139822957l_bool(member1161907014t_char,hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_4689),U_4688)),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_4684),U_4683))),U_4685)) )
      | hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_4689),U_4688) = hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_4687),U_4686)
      | ~ hBOOL(hAPP_f1145574243l_bool(hAPP_P2139822957l_bool(member1161907014t_char,hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_4689),U_4688)),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_4687),U_4686))),transi1789604888t_char(U_4685))) ),
    inference(variable_rename,[status(thm)],[f_889_1]) ).

fof(f_889_3,plain,
    ! [U_4689,U_4688,U_4687,U_4686,U_4685] :
      ( ? [U_4683] :
          ( hBOOL(hAPP_f1145574243l_bool(hAPP_P2139822957l_bool(member1161907014t_char,hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,sK769(U_4689,U_4688,U_4687,U_4686,U_4685)),U_4683)),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_4687),U_4686))),transi1789604888t_char(U_4685)))
          & hBOOL(hAPP_f1145574243l_bool(hAPP_P2139822957l_bool(member1161907014t_char,hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_4689),U_4688)),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,sK769(U_4689,U_4688,U_4687,U_4686,U_4685)),U_4683))),U_4685)) )
      | hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_4689),U_4688) = hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_4687),U_4686)
      | ~ hBOOL(hAPP_f1145574243l_bool(hAPP_P2139822957l_bool(member1161907014t_char,hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_4689),U_4688)),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_4687),U_4686))),transi1789604888t_char(U_4685))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK769]),skolemize(U_4684,sK769(U_4689,U_4688,U_4687,U_4686,U_4685))],[f_889_2]) ).

fof(f_889_4,plain,
    ! [U_4689,U_4688,U_4687,U_4686,U_4685] :
      ( ( hBOOL(hAPP_f1145574243l_bool(hAPP_P2139822957l_bool(member1161907014t_char,hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,sK769(U_4689,U_4688,U_4687,U_4686,U_4685)),sK770(U_4689,U_4688,U_4687,U_4686,U_4685))),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_4687),U_4686))),transi1789604888t_char(U_4685)))
        & hBOOL(hAPP_f1145574243l_bool(hAPP_P2139822957l_bool(member1161907014t_char,hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_4689),U_4688)),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,sK769(U_4689,U_4688,U_4687,U_4686,U_4685)),sK770(U_4689,U_4688,U_4687,U_4686,U_4685)))),U_4685)) )
      | hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_4689),U_4688) = hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_4687),U_4686)
      | ~ hBOOL(hAPP_f1145574243l_bool(hAPP_P2139822957l_bool(member1161907014t_char,hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_4689),U_4688)),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_4687),U_4686))),transi1789604888t_char(U_4685))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK770]),skolemize(U_4683,sK770(U_4689,U_4688,U_4687,U_4686,U_4685))],[f_889_3]) ).

cnf(f_889_5,plain,
    ( hBOOL(hAPP_f1145574243l_bool(hAPP_P2139822957l_bool(member1161907014t_char,hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_4689),U_4688)),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,sK769(U_4689,U_4688,U_4687,U_4686,U_4685)),sK770(U_4689,U_4688,U_4687,U_4686,U_4685)))),U_4685))
    | hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_4689),U_4688) = hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_4687),U_4686)
    | ~ hBOOL(hAPP_f1145574243l_bool(hAPP_P2139822957l_bool(member1161907014t_char,hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_4689),U_4688)),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_4687),U_4686))),transi1789604888t_char(U_4685))) ),
    inference(clausify,[status(thm)],[f_889_4]) ).

cnf(f_889_6,plain,
    ( hBOOL(hAPP_f1145574243l_bool(hAPP_P2139822957l_bool(member1161907014t_char,hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,sK769(U_4689,U_4688,U_4687,U_4686,U_4685)),sK770(U_4689,U_4688,U_4687,U_4686,U_4685))),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_4687),U_4686))),transi1789604888t_char(U_4685)))
    | hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_4689),U_4688) = hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_4687),U_4686)
    | ~ hBOOL(hAPP_f1145574243l_bool(hAPP_P2139822957l_bool(member1161907014t_char,hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_4689),U_4688)),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_4687),U_4686))),transi1789604888t_char(U_4685))) ),
    inference(clausify,[status(thm)],[f_889_4]) ).

fof(f_890_1,plain,
    ! [Xa_1,Xb_1,Za,Zb,R_1] :
      ( ? [A_1,B_2] :
          ( hBOOL(hAPP_f258424141l_bool(hAPP_P409642305l_bool(member125098544t_char,hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,A_1),B_2)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,Za),Zb))),transi1257872013t_char(R_1)))
          & hBOOL(hAPP_f258424141l_bool(hAPP_P409642305l_bool(member125098544t_char,hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,Xa_1),Xb_1)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,A_1),B_2))),R_1)) )
      | hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,Xa_1),Xb_1) = hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,Za),Zb)
      | ~ hBOOL(hAPP_f258424141l_bool(hAPP_P409642305l_bool(member125098544t_char,hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,Xa_1),Xb_1)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,Za),Zb))),transi1257872013t_char(R_1))) ),
    inference(fof_nnf,[status(thm)],[fact_748_converse__rtranclE2]) ).

fof(f_890_2,plain,
    ! [U_4696,U_4695,U_4694,U_4693,U_4692] :
      ( ? [U_4691,U_4690] :
          ( hBOOL(hAPP_f258424141l_bool(hAPP_P409642305l_bool(member125098544t_char,hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_4691),U_4690)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_4694),U_4693))),transi1257872013t_char(U_4692)))
          & hBOOL(hAPP_f258424141l_bool(hAPP_P409642305l_bool(member125098544t_char,hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_4696),U_4695)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_4691),U_4690))),U_4692)) )
      | hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_4696),U_4695) = hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_4694),U_4693)
      | ~ hBOOL(hAPP_f258424141l_bool(hAPP_P409642305l_bool(member125098544t_char,hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_4696),U_4695)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_4694),U_4693))),transi1257872013t_char(U_4692))) ),
    inference(variable_rename,[status(thm)],[f_890_1]) ).

fof(f_890_3,plain,
    ! [U_4696,U_4695,U_4694,U_4693,U_4692] :
      ( ? [U_4690] :
          ( hBOOL(hAPP_f258424141l_bool(hAPP_P409642305l_bool(member125098544t_char,hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,sK771(U_4696,U_4695,U_4694,U_4693,U_4692)),U_4690)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_4694),U_4693))),transi1257872013t_char(U_4692)))
          & hBOOL(hAPP_f258424141l_bool(hAPP_P409642305l_bool(member125098544t_char,hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_4696),U_4695)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,sK771(U_4696,U_4695,U_4694,U_4693,U_4692)),U_4690))),U_4692)) )
      | hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_4696),U_4695) = hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_4694),U_4693)
      | ~ hBOOL(hAPP_f258424141l_bool(hAPP_P409642305l_bool(member125098544t_char,hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_4696),U_4695)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_4694),U_4693))),transi1257872013t_char(U_4692))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK771]),skolemize(U_4691,sK771(U_4696,U_4695,U_4694,U_4693,U_4692))],[f_890_2]) ).

fof(f_890_4,plain,
    ! [U_4696,U_4695,U_4694,U_4693,U_4692] :
      ( ( hBOOL(hAPP_f258424141l_bool(hAPP_P409642305l_bool(member125098544t_char,hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,sK771(U_4696,U_4695,U_4694,U_4693,U_4692)),sK772(U_4696,U_4695,U_4694,U_4693,U_4692))),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_4694),U_4693))),transi1257872013t_char(U_4692)))
        & hBOOL(hAPP_f258424141l_bool(hAPP_P409642305l_bool(member125098544t_char,hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_4696),U_4695)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,sK771(U_4696,U_4695,U_4694,U_4693,U_4692)),sK772(U_4696,U_4695,U_4694,U_4693,U_4692)))),U_4692)) )
      | hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_4696),U_4695) = hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_4694),U_4693)
      | ~ hBOOL(hAPP_f258424141l_bool(hAPP_P409642305l_bool(member125098544t_char,hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_4696),U_4695)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_4694),U_4693))),transi1257872013t_char(U_4692))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK772]),skolemize(U_4690,sK772(U_4696,U_4695,U_4694,U_4693,U_4692))],[f_890_3]) ).

cnf(f_890_5,plain,
    ( hBOOL(hAPP_f258424141l_bool(hAPP_P409642305l_bool(member125098544t_char,hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_4696),U_4695)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,sK771(U_4696,U_4695,U_4694,U_4693,U_4692)),sK772(U_4696,U_4695,U_4694,U_4693,U_4692)))),U_4692))
    | hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_4696),U_4695) = hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_4694),U_4693)
    | ~ hBOOL(hAPP_f258424141l_bool(hAPP_P409642305l_bool(member125098544t_char,hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_4696),U_4695)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_4694),U_4693))),transi1257872013t_char(U_4692))) ),
    inference(clausify,[status(thm)],[f_890_4]) ).

cnf(f_890_6,plain,
    ( hBOOL(hAPP_f258424141l_bool(hAPP_P409642305l_bool(member125098544t_char,hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,sK771(U_4696,U_4695,U_4694,U_4693,U_4692)),sK772(U_4696,U_4695,U_4694,U_4693,U_4692))),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_4694),U_4693))),transi1257872013t_char(U_4692)))
    | hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_4696),U_4695) = hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_4694),U_4693)
    | ~ hBOOL(hAPP_f258424141l_bool(hAPP_P409642305l_bool(member125098544t_char,hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_4696),U_4695)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_4694),U_4693))),transi1257872013t_char(U_4692))) ),
    inference(clausify,[status(thm)],[f_890_4]) ).

fof(f_891_1,plain,
    ! [Xa_1,Xb_1,Za,Zb,R_1] :
      ( ? [A_1,B_2] :
          ( hBOOL(hAPP_f528956081l_bool(hAPP_P325013257l_bool(member1420286996t_char,hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,A_1),B_2)),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,Za),Zb))),transi122195895t_char(R_1)))
          & hBOOL(hAPP_f528956081l_bool(hAPP_P325013257l_bool(member1420286996t_char,hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,Xa_1),Xb_1)),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,A_1),B_2))),R_1)) )
      | hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,Xa_1),Xb_1) = hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,Za),Zb)
      | ~ hBOOL(hAPP_f528956081l_bool(hAPP_P325013257l_bool(member1420286996t_char,hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,Xa_1),Xb_1)),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,Za),Zb))),transi122195895t_char(R_1))) ),
    inference(fof_nnf,[status(thm)],[fact_749_converse__rtranclE2]) ).

fof(f_891_2,plain,
    ! [U_4703,U_4702,U_4701,U_4700,U_4699] :
      ( ? [U_4698,U_4697] :
          ( hBOOL(hAPP_f528956081l_bool(hAPP_P325013257l_bool(member1420286996t_char,hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_4698),U_4697)),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_4701),U_4700))),transi122195895t_char(U_4699)))
          & hBOOL(hAPP_f528956081l_bool(hAPP_P325013257l_bool(member1420286996t_char,hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_4703),U_4702)),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_4698),U_4697))),U_4699)) )
      | hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_4703),U_4702) = hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_4701),U_4700)
      | ~ hBOOL(hAPP_f528956081l_bool(hAPP_P325013257l_bool(member1420286996t_char,hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_4703),U_4702)),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_4701),U_4700))),transi122195895t_char(U_4699))) ),
    inference(variable_rename,[status(thm)],[f_891_1]) ).

fof(f_891_3,plain,
    ! [U_4703,U_4702,U_4701,U_4700,U_4699] :
      ( ? [U_4697] :
          ( hBOOL(hAPP_f528956081l_bool(hAPP_P325013257l_bool(member1420286996t_char,hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,sK773(U_4703,U_4702,U_4701,U_4700,U_4699)),U_4697)),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_4701),U_4700))),transi122195895t_char(U_4699)))
          & hBOOL(hAPP_f528956081l_bool(hAPP_P325013257l_bool(member1420286996t_char,hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_4703),U_4702)),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,sK773(U_4703,U_4702,U_4701,U_4700,U_4699)),U_4697))),U_4699)) )
      | hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_4703),U_4702) = hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_4701),U_4700)
      | ~ hBOOL(hAPP_f528956081l_bool(hAPP_P325013257l_bool(member1420286996t_char,hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_4703),U_4702)),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_4701),U_4700))),transi122195895t_char(U_4699))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK773]),skolemize(U_4698,sK773(U_4703,U_4702,U_4701,U_4700,U_4699))],[f_891_2]) ).

fof(f_891_4,plain,
    ! [U_4703,U_4702,U_4701,U_4700,U_4699] :
      ( ( hBOOL(hAPP_f528956081l_bool(hAPP_P325013257l_bool(member1420286996t_char,hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,sK773(U_4703,U_4702,U_4701,U_4700,U_4699)),sK774(U_4703,U_4702,U_4701,U_4700,U_4699))),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_4701),U_4700))),transi122195895t_char(U_4699)))
        & hBOOL(hAPP_f528956081l_bool(hAPP_P325013257l_bool(member1420286996t_char,hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_4703),U_4702)),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,sK773(U_4703,U_4702,U_4701,U_4700,U_4699)),sK774(U_4703,U_4702,U_4701,U_4700,U_4699)))),U_4699)) )
      | hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_4703),U_4702) = hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_4701),U_4700)
      | ~ hBOOL(hAPP_f528956081l_bool(hAPP_P325013257l_bool(member1420286996t_char,hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_4703),U_4702)),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_4701),U_4700))),transi122195895t_char(U_4699))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK774]),skolemize(U_4697,sK774(U_4703,U_4702,U_4701,U_4700,U_4699))],[f_891_3]) ).

cnf(f_891_5,plain,
    ( hBOOL(hAPP_f528956081l_bool(hAPP_P325013257l_bool(member1420286996t_char,hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_4703),U_4702)),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,sK773(U_4703,U_4702,U_4701,U_4700,U_4699)),sK774(U_4703,U_4702,U_4701,U_4700,U_4699)))),U_4699))
    | hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_4703),U_4702) = hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_4701),U_4700)
    | ~ hBOOL(hAPP_f528956081l_bool(hAPP_P325013257l_bool(member1420286996t_char,hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_4703),U_4702)),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_4701),U_4700))),transi122195895t_char(U_4699))) ),
    inference(clausify,[status(thm)],[f_891_4]) ).

cnf(f_891_6,plain,
    ( hBOOL(hAPP_f528956081l_bool(hAPP_P325013257l_bool(member1420286996t_char,hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,sK773(U_4703,U_4702,U_4701,U_4700,U_4699)),sK774(U_4703,U_4702,U_4701,U_4700,U_4699))),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_4701),U_4700))),transi122195895t_char(U_4699)))
    | hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_4703),U_4702) = hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_4701),U_4700)
    | ~ hBOOL(hAPP_f528956081l_bool(hAPP_P325013257l_bool(member1420286996t_char,hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_4703),U_4702)),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_4701),U_4700))),transi122195895t_char(U_4699))) ),
    inference(clausify,[status(thm)],[f_891_4]) ).

fof(f_892_1,plain,
    ! [Xa_1,Xb_1,Za,Zb,R_1] :
      ( ? [A_1,B_2] :
          ( hBOOL(hAPP_f1980787287l_bool(hAPP_P274544981l_bool(member88670778on_val,hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A_1),B_2)),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,Za),Zb))),transi208336786on_val(R_1)))
          & hBOOL(hAPP_f1980787287l_bool(hAPP_P274544981l_bool(member88670778on_val,hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,Xa_1),Xb_1)),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A_1),B_2))),R_1)) )
      | hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,Xa_1),Xb_1) = hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,Za),Zb)
      | ~ hBOOL(hAPP_f1980787287l_bool(hAPP_P274544981l_bool(member88670778on_val,hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,Xa_1),Xb_1)),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,Za),Zb))),transi208336786on_val(R_1))) ),
    inference(fof_nnf,[status(thm)],[fact_750_converse__rtranclE2]) ).

fof(f_892_2,plain,
    ! [U_4710,U_4709,U_4708,U_4707,U_4706] :
      ( ? [U_4705,U_4704] :
          ( hBOOL(hAPP_f1980787287l_bool(hAPP_P274544981l_bool(member88670778on_val,hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_4705),U_4704)),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_4708),U_4707))),transi208336786on_val(U_4706)))
          & hBOOL(hAPP_f1980787287l_bool(hAPP_P274544981l_bool(member88670778on_val,hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_4710),U_4709)),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_4705),U_4704))),U_4706)) )
      | hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_4710),U_4709) = hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_4708),U_4707)
      | ~ hBOOL(hAPP_f1980787287l_bool(hAPP_P274544981l_bool(member88670778on_val,hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_4710),U_4709)),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_4708),U_4707))),transi208336786on_val(U_4706))) ),
    inference(variable_rename,[status(thm)],[f_892_1]) ).

fof(f_892_3,plain,
    ! [U_4710,U_4709,U_4708,U_4707,U_4706] :
      ( ? [U_4704] :
          ( hBOOL(hAPP_f1980787287l_bool(hAPP_P274544981l_bool(member88670778on_val,hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,sK775(U_4710,U_4709,U_4708,U_4707,U_4706)),U_4704)),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_4708),U_4707))),transi208336786on_val(U_4706)))
          & hBOOL(hAPP_f1980787287l_bool(hAPP_P274544981l_bool(member88670778on_val,hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_4710),U_4709)),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,sK775(U_4710,U_4709,U_4708,U_4707,U_4706)),U_4704))),U_4706)) )
      | hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_4710),U_4709) = hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_4708),U_4707)
      | ~ hBOOL(hAPP_f1980787287l_bool(hAPP_P274544981l_bool(member88670778on_val,hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_4710),U_4709)),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_4708),U_4707))),transi208336786on_val(U_4706))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK775]),skolemize(U_4705,sK775(U_4710,U_4709,U_4708,U_4707,U_4706))],[f_892_2]) ).

fof(f_892_4,plain,
    ! [U_4710,U_4709,U_4708,U_4707,U_4706] :
      ( ( hBOOL(hAPP_f1980787287l_bool(hAPP_P274544981l_bool(member88670778on_val,hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,sK775(U_4710,U_4709,U_4708,U_4707,U_4706)),sK776(U_4710,U_4709,U_4708,U_4707,U_4706))),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_4708),U_4707))),transi208336786on_val(U_4706)))
        & hBOOL(hAPP_f1980787287l_bool(hAPP_P274544981l_bool(member88670778on_val,hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_4710),U_4709)),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,sK775(U_4710,U_4709,U_4708,U_4707,U_4706)),sK776(U_4710,U_4709,U_4708,U_4707,U_4706)))),U_4706)) )
      | hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_4710),U_4709) = hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_4708),U_4707)
      | ~ hBOOL(hAPP_f1980787287l_bool(hAPP_P274544981l_bool(member88670778on_val,hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_4710),U_4709)),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_4708),U_4707))),transi208336786on_val(U_4706))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK776]),skolemize(U_4704,sK776(U_4710,U_4709,U_4708,U_4707,U_4706))],[f_892_3]) ).

cnf(f_892_5,plain,
    ( hBOOL(hAPP_f1980787287l_bool(hAPP_P274544981l_bool(member88670778on_val,hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_4710),U_4709)),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,sK775(U_4710,U_4709,U_4708,U_4707,U_4706)),sK776(U_4710,U_4709,U_4708,U_4707,U_4706)))),U_4706))
    | hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_4710),U_4709) = hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_4708),U_4707)
    | ~ hBOOL(hAPP_f1980787287l_bool(hAPP_P274544981l_bool(member88670778on_val,hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_4710),U_4709)),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_4708),U_4707))),transi208336786on_val(U_4706))) ),
    inference(clausify,[status(thm)],[f_892_4]) ).

cnf(f_892_6,plain,
    ( hBOOL(hAPP_f1980787287l_bool(hAPP_P274544981l_bool(member88670778on_val,hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,sK775(U_4710,U_4709,U_4708,U_4707,U_4706)),sK776(U_4710,U_4709,U_4708,U_4707,U_4706))),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_4708),U_4707))),transi208336786on_val(U_4706)))
    | hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_4710),U_4709) = hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_4708),U_4707)
    | ~ hBOOL(hAPP_f1980787287l_bool(hAPP_P274544981l_bool(member88670778on_val,hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_4710),U_4709)),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_4708),U_4707))),transi208336786on_val(U_4706))) ),
    inference(clausify,[status(thm)],[f_892_4]) ).

fof(f_893_1,plain,
    ! [Xa_1,Xb_1,Za,Zb,R_1] :
      ( ? [A_1,B_2] :
          ( hBOOL(hAPP_f2129782055l_bool(hAPP_P124661l_bool(member837208074al_val,hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A_1),B_2)),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,Za),Zb))),transi1423755450al_val(R_1)))
          & hBOOL(hAPP_f2129782055l_bool(hAPP_P124661l_bool(member837208074al_val,hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,Xa_1),Xb_1)),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A_1),B_2))),R_1)) )
      | hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,Xa_1),Xb_1) = hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,Za),Zb)
      | ~ hBOOL(hAPP_f2129782055l_bool(hAPP_P124661l_bool(member837208074al_val,hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,Xa_1),Xb_1)),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,Za),Zb))),transi1423755450al_val(R_1))) ),
    inference(fof_nnf,[status(thm)],[fact_751_converse__rtranclE2]) ).

fof(f_893_2,plain,
    ! [U_4717,U_4716,U_4715,U_4714,U_4713] :
      ( ? [U_4712,U_4711] :
          ( hBOOL(hAPP_f2129782055l_bool(hAPP_P124661l_bool(member837208074al_val,hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_4712),U_4711)),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_4715),U_4714))),transi1423755450al_val(U_4713)))
          & hBOOL(hAPP_f2129782055l_bool(hAPP_P124661l_bool(member837208074al_val,hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_4717),U_4716)),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_4712),U_4711))),U_4713)) )
      | hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_4717),U_4716) = hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_4715),U_4714)
      | ~ hBOOL(hAPP_f2129782055l_bool(hAPP_P124661l_bool(member837208074al_val,hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_4717),U_4716)),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_4715),U_4714))),transi1423755450al_val(U_4713))) ),
    inference(variable_rename,[status(thm)],[f_893_1]) ).

fof(f_893_3,plain,
    ! [U_4717,U_4716,U_4715,U_4714,U_4713] :
      ( ? [U_4711] :
          ( hBOOL(hAPP_f2129782055l_bool(hAPP_P124661l_bool(member837208074al_val,hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,sK777(U_4717,U_4716,U_4715,U_4714,U_4713)),U_4711)),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_4715),U_4714))),transi1423755450al_val(U_4713)))
          & hBOOL(hAPP_f2129782055l_bool(hAPP_P124661l_bool(member837208074al_val,hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_4717),U_4716)),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,sK777(U_4717,U_4716,U_4715,U_4714,U_4713)),U_4711))),U_4713)) )
      | hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_4717),U_4716) = hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_4715),U_4714)
      | ~ hBOOL(hAPP_f2129782055l_bool(hAPP_P124661l_bool(member837208074al_val,hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_4717),U_4716)),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_4715),U_4714))),transi1423755450al_val(U_4713))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK777]),skolemize(U_4712,sK777(U_4717,U_4716,U_4715,U_4714,U_4713))],[f_893_2]) ).

fof(f_893_4,plain,
    ! [U_4717,U_4716,U_4715,U_4714,U_4713] :
      ( ( hBOOL(hAPP_f2129782055l_bool(hAPP_P124661l_bool(member837208074al_val,hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,sK777(U_4717,U_4716,U_4715,U_4714,U_4713)),sK778(U_4717,U_4716,U_4715,U_4714,U_4713))),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_4715),U_4714))),transi1423755450al_val(U_4713)))
        & hBOOL(hAPP_f2129782055l_bool(hAPP_P124661l_bool(member837208074al_val,hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_4717),U_4716)),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,sK777(U_4717,U_4716,U_4715,U_4714,U_4713)),sK778(U_4717,U_4716,U_4715,U_4714,U_4713)))),U_4713)) )
      | hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_4717),U_4716) = hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_4715),U_4714)
      | ~ hBOOL(hAPP_f2129782055l_bool(hAPP_P124661l_bool(member837208074al_val,hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_4717),U_4716)),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_4715),U_4714))),transi1423755450al_val(U_4713))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK778]),skolemize(U_4711,sK778(U_4717,U_4716,U_4715,U_4714,U_4713))],[f_893_3]) ).

cnf(f_893_5,plain,
    ( hBOOL(hAPP_f2129782055l_bool(hAPP_P124661l_bool(member837208074al_val,hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_4717),U_4716)),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,sK777(U_4717,U_4716,U_4715,U_4714,U_4713)),sK778(U_4717,U_4716,U_4715,U_4714,U_4713)))),U_4713))
    | hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_4717),U_4716) = hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_4715),U_4714)
    | ~ hBOOL(hAPP_f2129782055l_bool(hAPP_P124661l_bool(member837208074al_val,hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_4717),U_4716)),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_4715),U_4714))),transi1423755450al_val(U_4713))) ),
    inference(clausify,[status(thm)],[f_893_4]) ).

cnf(f_893_6,plain,
    ( hBOOL(hAPP_f2129782055l_bool(hAPP_P124661l_bool(member837208074al_val,hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,sK777(U_4717,U_4716,U_4715,U_4714,U_4713)),sK778(U_4717,U_4716,U_4715,U_4714,U_4713))),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_4715),U_4714))),transi1423755450al_val(U_4713)))
    | hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_4717),U_4716) = hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_4715),U_4714)
    | ~ hBOOL(hAPP_f2129782055l_bool(hAPP_P124661l_bool(member837208074al_val,hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_4717),U_4716)),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_4715),U_4714))),transi1423755450al_val(U_4713))) ),
    inference(clausify,[status(thm)],[f_893_4]) ).

fof(f_894_1,plain,
    ! [Xa_1,Xb_1,Za,Zb,R_1] :
      ( ? [A_1,B_2] :
          ( hBOOL(hAPP_f126136681l_bool(hAPP_P982127993l_bool(member1732271180al_val,hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,A_1),B_2)),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,Za),Zb))),transi1906258203al_val(R_1)))
          & hBOOL(hAPP_f126136681l_bool(hAPP_P982127993l_bool(member1732271180al_val,hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,Xa_1),Xb_1)),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,A_1),B_2))),R_1))
          & is_bop(A_1) )
      | hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,Xa_1),Xb_1) = hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,Za),Zb)
      | ~ hBOOL(hAPP_f126136681l_bool(hAPP_P982127993l_bool(member1732271180al_val,hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,Xa_1),Xb_1)),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,Za),Zb))),transi1906258203al_val(R_1))) ),
    inference(fof_nnf,[status(thm)],[fact_752_converse__rtranclE2]) ).

fof(f_894_2,plain,
    ! [U_4724,U_4723,U_4722,U_4721,U_4720] :
      ( ? [U_4719,U_4718] :
          ( hBOOL(hAPP_f126136681l_bool(hAPP_P982127993l_bool(member1732271180al_val,hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_4719),U_4718)),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_4722),U_4721))),transi1906258203al_val(U_4720)))
          & hBOOL(hAPP_f126136681l_bool(hAPP_P982127993l_bool(member1732271180al_val,hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_4724),U_4723)),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_4719),U_4718))),U_4720))
          & is_bop(U_4719) )
      | hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_4724),U_4723) = hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_4722),U_4721)
      | ~ hBOOL(hAPP_f126136681l_bool(hAPP_P982127993l_bool(member1732271180al_val,hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_4724),U_4723)),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_4722),U_4721))),transi1906258203al_val(U_4720))) ),
    inference(variable_rename,[status(thm)],[f_894_1]) ).

fof(f_894_3,plain,
    ! [U_4724,U_4723,U_4722,U_4721,U_4720] :
      ( ? [U_4719] :
          ( ? [U_4718] :
              ( hBOOL(hAPP_f126136681l_bool(hAPP_P982127993l_bool(member1732271180al_val,hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_4719),U_4718)),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_4722),U_4721))),transi1906258203al_val(U_4720)))
              & hBOOL(hAPP_f126136681l_bool(hAPP_P982127993l_bool(member1732271180al_val,hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_4724),U_4723)),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_4719),U_4718))),U_4720)) )
          & is_bop(U_4719) )
      | hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_4724),U_4723) = hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_4722),U_4721)
      | ~ hBOOL(hAPP_f126136681l_bool(hAPP_P982127993l_bool(member1732271180al_val,hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_4724),U_4723)),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_4722),U_4721))),transi1906258203al_val(U_4720))) ),
    inference(miniscope,[status(thm)],[f_894_2]) ).

fof(f_894_4,plain,
    ! [U_4724,U_4723,U_4722,U_4721,U_4720] :
      ( ( ? [U_4718] :
            ( hBOOL(hAPP_f126136681l_bool(hAPP_P982127993l_bool(member1732271180al_val,hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,sK779(U_4724,U_4723,U_4722,U_4721,U_4720)),U_4718)),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_4722),U_4721))),transi1906258203al_val(U_4720)))
            & hBOOL(hAPP_f126136681l_bool(hAPP_P982127993l_bool(member1732271180al_val,hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_4724),U_4723)),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,sK779(U_4724,U_4723,U_4722,U_4721,U_4720)),U_4718))),U_4720)) )
        & is_bop(sK779(U_4724,U_4723,U_4722,U_4721,U_4720)) )
      | hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_4724),U_4723) = hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_4722),U_4721)
      | ~ hBOOL(hAPP_f126136681l_bool(hAPP_P982127993l_bool(member1732271180al_val,hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_4724),U_4723)),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_4722),U_4721))),transi1906258203al_val(U_4720))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK779]),skolemize(U_4719,sK779(U_4724,U_4723,U_4722,U_4721,U_4720))],[f_894_3]) ).

fof(f_894_5,plain,
    ! [U_4724,U_4723,U_4722,U_4721,U_4720] :
      ( ( hBOOL(hAPP_f126136681l_bool(hAPP_P982127993l_bool(member1732271180al_val,hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,sK779(U_4724,U_4723,U_4722,U_4721,U_4720)),sK780(U_4724,U_4723,U_4722,U_4721,U_4720))),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_4722),U_4721))),transi1906258203al_val(U_4720)))
        & hBOOL(hAPP_f126136681l_bool(hAPP_P982127993l_bool(member1732271180al_val,hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_4724),U_4723)),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,sK779(U_4724,U_4723,U_4722,U_4721,U_4720)),sK780(U_4724,U_4723,U_4722,U_4721,U_4720)))),U_4720))
        & is_bop(sK779(U_4724,U_4723,U_4722,U_4721,U_4720)) )
      | hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_4724),U_4723) = hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_4722),U_4721)
      | ~ hBOOL(hAPP_f126136681l_bool(hAPP_P982127993l_bool(member1732271180al_val,hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_4724),U_4723)),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_4722),U_4721))),transi1906258203al_val(U_4720))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK780]),skolemize(U_4718,sK780(U_4724,U_4723,U_4722,U_4721,U_4720))],[f_894_4]) ).

cnf(f_894_6,plain,
    ( is_bop(sK779(U_4724,U_4723,U_4722,U_4721,U_4720))
    | hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_4724),U_4723) = hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_4722),U_4721)
    | ~ hBOOL(hAPP_f126136681l_bool(hAPP_P982127993l_bool(member1732271180al_val,hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_4724),U_4723)),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_4722),U_4721))),transi1906258203al_val(U_4720))) ),
    inference(clausify,[status(thm)],[f_894_5]) ).

cnf(f_894_7,plain,
    ( hBOOL(hAPP_f126136681l_bool(hAPP_P982127993l_bool(member1732271180al_val,hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_4724),U_4723)),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,sK779(U_4724,U_4723,U_4722,U_4721,U_4720)),sK780(U_4724,U_4723,U_4722,U_4721,U_4720)))),U_4720))
    | hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_4724),U_4723) = hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_4722),U_4721)
    | ~ hBOOL(hAPP_f126136681l_bool(hAPP_P982127993l_bool(member1732271180al_val,hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_4724),U_4723)),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_4722),U_4721))),transi1906258203al_val(U_4720))) ),
    inference(clausify,[status(thm)],[f_894_5]) ).

cnf(f_894_8,plain,
    ( hBOOL(hAPP_f126136681l_bool(hAPP_P982127993l_bool(member1732271180al_val,hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,sK779(U_4724,U_4723,U_4722,U_4721,U_4720)),sK780(U_4724,U_4723,U_4722,U_4721,U_4720))),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_4722),U_4721))),transi1906258203al_val(U_4720)))
    | hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_4724),U_4723) = hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_4722),U_4721)
    | ~ hBOOL(hAPP_f126136681l_bool(hAPP_P982127993l_bool(member1732271180al_val,hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_4724),U_4723)),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_4722),U_4721))),transi1906258203al_val(U_4720))) ),
    inference(clausify,[status(thm)],[f_894_5]) ).

fof(f_895_1,plain,
    ! [Xa_1,Xb_1,Za,Zb,R_1] :
      ( ? [A_1,B_2] :
          ( hBOOL(hAPP_f851858423l_bool(hAPP_P786771093l_bool(member794220506t_char,hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A_1),B_2)),hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,Za),Zb))),transi1095029602t_char(R_1)))
          & hBOOL(hAPP_f851858423l_bool(hAPP_P786771093l_bool(member794220506t_char,hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,Xa_1),Xb_1)),hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A_1),B_2))),R_1)) )
      | hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,Xa_1),Xb_1) = hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,Za),Zb)
      | ~ hBOOL(hAPP_f851858423l_bool(hAPP_P786771093l_bool(member794220506t_char,hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,Xa_1),Xb_1)),hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,Za),Zb))),transi1095029602t_char(R_1))) ),
    inference(fof_nnf,[status(thm)],[fact_753_converse__rtranclE2]) ).

fof(f_895_2,plain,
    ! [U_4731,U_4730,U_4729,U_4728,U_4727] :
      ( ? [U_4726,U_4725] :
          ( hBOOL(hAPP_f851858423l_bool(hAPP_P786771093l_bool(member794220506t_char,hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_4726),U_4725)),hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_4729),U_4728))),transi1095029602t_char(U_4727)))
          & hBOOL(hAPP_f851858423l_bool(hAPP_P786771093l_bool(member794220506t_char,hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_4731),U_4730)),hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_4726),U_4725))),U_4727)) )
      | hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_4731),U_4730) = hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_4729),U_4728)
      | ~ hBOOL(hAPP_f851858423l_bool(hAPP_P786771093l_bool(member794220506t_char,hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_4731),U_4730)),hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_4729),U_4728))),transi1095029602t_char(U_4727))) ),
    inference(variable_rename,[status(thm)],[f_895_1]) ).

fof(f_895_3,plain,
    ! [U_4731,U_4730,U_4729,U_4728,U_4727] :
      ( ? [U_4725] :
          ( hBOOL(hAPP_f851858423l_bool(hAPP_P786771093l_bool(member794220506t_char,hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,sK781(U_4731,U_4730,U_4729,U_4728,U_4727)),U_4725)),hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_4729),U_4728))),transi1095029602t_char(U_4727)))
          & hBOOL(hAPP_f851858423l_bool(hAPP_P786771093l_bool(member794220506t_char,hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_4731),U_4730)),hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,sK781(U_4731,U_4730,U_4729,U_4728,U_4727)),U_4725))),U_4727)) )
      | hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_4731),U_4730) = hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_4729),U_4728)
      | ~ hBOOL(hAPP_f851858423l_bool(hAPP_P786771093l_bool(member794220506t_char,hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_4731),U_4730)),hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_4729),U_4728))),transi1095029602t_char(U_4727))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK781]),skolemize(U_4726,sK781(U_4731,U_4730,U_4729,U_4728,U_4727))],[f_895_2]) ).

fof(f_895_4,plain,
    ! [U_4731,U_4730,U_4729,U_4728,U_4727] :
      ( ( hBOOL(hAPP_f851858423l_bool(hAPP_P786771093l_bool(member794220506t_char,hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,sK781(U_4731,U_4730,U_4729,U_4728,U_4727)),sK782(U_4731,U_4730,U_4729,U_4728,U_4727))),hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_4729),U_4728))),transi1095029602t_char(U_4727)))
        & hBOOL(hAPP_f851858423l_bool(hAPP_P786771093l_bool(member794220506t_char,hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_4731),U_4730)),hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,sK781(U_4731,U_4730,U_4729,U_4728,U_4727)),sK782(U_4731,U_4730,U_4729,U_4728,U_4727)))),U_4727)) )
      | hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_4731),U_4730) = hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_4729),U_4728)
      | ~ hBOOL(hAPP_f851858423l_bool(hAPP_P786771093l_bool(member794220506t_char,hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_4731),U_4730)),hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_4729),U_4728))),transi1095029602t_char(U_4727))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK782]),skolemize(U_4725,sK782(U_4731,U_4730,U_4729,U_4728,U_4727))],[f_895_3]) ).

cnf(f_895_5,plain,
    ( hBOOL(hAPP_f851858423l_bool(hAPP_P786771093l_bool(member794220506t_char,hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_4731),U_4730)),hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,sK781(U_4731,U_4730,U_4729,U_4728,U_4727)),sK782(U_4731,U_4730,U_4729,U_4728,U_4727)))),U_4727))
    | hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_4731),U_4730) = hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_4729),U_4728)
    | ~ hBOOL(hAPP_f851858423l_bool(hAPP_P786771093l_bool(member794220506t_char,hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_4731),U_4730)),hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_4729),U_4728))),transi1095029602t_char(U_4727))) ),
    inference(clausify,[status(thm)],[f_895_4]) ).

cnf(f_895_6,plain,
    ( hBOOL(hAPP_f851858423l_bool(hAPP_P786771093l_bool(member794220506t_char,hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,sK781(U_4731,U_4730,U_4729,U_4728,U_4727)),sK782(U_4731,U_4730,U_4729,U_4728,U_4727))),hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_4729),U_4728))),transi1095029602t_char(U_4727)))
    | hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_4731),U_4730) = hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_4729),U_4728)
    | ~ hBOOL(hAPP_f851858423l_bool(hAPP_P786771093l_bool(member794220506t_char,hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_4731),U_4730)),hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_4729),U_4728))),transi1095029602t_char(U_4727))) ),
    inference(clausify,[status(thm)],[f_895_4]) ).

fof(f_896_1,plain,
    ! [Xa_1,Xb_1,Za,Zb,R_1] :
      ( ? [A_1,B_2] :
          ( hBOOL(hAPP_f665343921l_bool(hAPP_P502294281l_bool(member1322055188on_val,hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,A_1),B_2)),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,Za),Zb))),transi61620055on_val(R_1)))
          & hBOOL(hAPP_f665343921l_bool(hAPP_P502294281l_bool(member1322055188on_val,hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,Xa_1),Xb_1)),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,A_1),B_2))),R_1)) )
      | hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,Xa_1),Xb_1) = hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,Za),Zb)
      | ~ hBOOL(hAPP_f665343921l_bool(hAPP_P502294281l_bool(member1322055188on_val,hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,Xa_1),Xb_1)),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,Za),Zb))),transi61620055on_val(R_1))) ),
    inference(fof_nnf,[status(thm)],[fact_754_converse__rtranclE2]) ).

fof(f_896_2,plain,
    ! [U_4738,U_4737,U_4736,U_4735,U_4734] :
      ( ? [U_4733,U_4732] :
          ( hBOOL(hAPP_f665343921l_bool(hAPP_P502294281l_bool(member1322055188on_val,hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_4733),U_4732)),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_4736),U_4735))),transi61620055on_val(U_4734)))
          & hBOOL(hAPP_f665343921l_bool(hAPP_P502294281l_bool(member1322055188on_val,hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_4738),U_4737)),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_4733),U_4732))),U_4734)) )
      | hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_4738),U_4737) = hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_4736),U_4735)
      | ~ hBOOL(hAPP_f665343921l_bool(hAPP_P502294281l_bool(member1322055188on_val,hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_4738),U_4737)),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_4736),U_4735))),transi61620055on_val(U_4734))) ),
    inference(variable_rename,[status(thm)],[f_896_1]) ).

fof(f_896_3,plain,
    ! [U_4738,U_4737,U_4736,U_4735,U_4734] :
      ( ? [U_4732] :
          ( hBOOL(hAPP_f665343921l_bool(hAPP_P502294281l_bool(member1322055188on_val,hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,sK783(U_4738,U_4737,U_4736,U_4735,U_4734)),U_4732)),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_4736),U_4735))),transi61620055on_val(U_4734)))
          & hBOOL(hAPP_f665343921l_bool(hAPP_P502294281l_bool(member1322055188on_val,hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_4738),U_4737)),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,sK783(U_4738,U_4737,U_4736,U_4735,U_4734)),U_4732))),U_4734)) )
      | hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_4738),U_4737) = hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_4736),U_4735)
      | ~ hBOOL(hAPP_f665343921l_bool(hAPP_P502294281l_bool(member1322055188on_val,hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_4738),U_4737)),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_4736),U_4735))),transi61620055on_val(U_4734))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK783]),skolemize(U_4733,sK783(U_4738,U_4737,U_4736,U_4735,U_4734))],[f_896_2]) ).

fof(f_896_4,plain,
    ! [U_4738,U_4737,U_4736,U_4735,U_4734] :
      ( ( hBOOL(hAPP_f665343921l_bool(hAPP_P502294281l_bool(member1322055188on_val,hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,sK783(U_4738,U_4737,U_4736,U_4735,U_4734)),sK784(U_4738,U_4737,U_4736,U_4735,U_4734))),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_4736),U_4735))),transi61620055on_val(U_4734)))
        & hBOOL(hAPP_f665343921l_bool(hAPP_P502294281l_bool(member1322055188on_val,hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_4738),U_4737)),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,sK783(U_4738,U_4737,U_4736,U_4735,U_4734)),sK784(U_4738,U_4737,U_4736,U_4735,U_4734)))),U_4734)) )
      | hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_4738),U_4737) = hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_4736),U_4735)
      | ~ hBOOL(hAPP_f665343921l_bool(hAPP_P502294281l_bool(member1322055188on_val,hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_4738),U_4737)),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_4736),U_4735))),transi61620055on_val(U_4734))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK784]),skolemize(U_4732,sK784(U_4738,U_4737,U_4736,U_4735,U_4734))],[f_896_3]) ).

cnf(f_896_5,plain,
    ( hBOOL(hAPP_f665343921l_bool(hAPP_P502294281l_bool(member1322055188on_val,hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_4738),U_4737)),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,sK783(U_4738,U_4737,U_4736,U_4735,U_4734)),sK784(U_4738,U_4737,U_4736,U_4735,U_4734)))),U_4734))
    | hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_4738),U_4737) = hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_4736),U_4735)
    | ~ hBOOL(hAPP_f665343921l_bool(hAPP_P502294281l_bool(member1322055188on_val,hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_4738),U_4737)),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_4736),U_4735))),transi61620055on_val(U_4734))) ),
    inference(clausify,[status(thm)],[f_896_4]) ).

cnf(f_896_6,plain,
    ( hBOOL(hAPP_f665343921l_bool(hAPP_P502294281l_bool(member1322055188on_val,hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,sK783(U_4738,U_4737,U_4736,U_4735,U_4734)),sK784(U_4738,U_4737,U_4736,U_4735,U_4734))),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_4736),U_4735))),transi61620055on_val(U_4734)))
    | hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_4738),U_4737) = hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_4736),U_4735)
    | ~ hBOOL(hAPP_f665343921l_bool(hAPP_P502294281l_bool(member1322055188on_val,hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_4738),U_4737)),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_4736),U_4735))),transi61620055on_val(U_4734))) ),
    inference(clausify,[status(thm)],[f_896_4]) ).

fof(f_897_1,plain,
    ! [Xa_1,Xb_1,Za,Zb,R_1] :
      ( ? [A_1,B_2] :
          ( hBOOL(hAPP_f1297673713l_bool(hAPP_P240409993l_bool(member563141460on_val,hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A_1),B_2)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Za),Zb))),transi921647814on_val(R_1)))
          & hBOOL(hAPP_f1297673713l_bool(hAPP_P240409993l_bool(member563141460on_val,hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Xa_1),Xb_1)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A_1),B_2))),R_1)) )
      | hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Xa_1),Xb_1) = hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Za),Zb)
      | ~ hBOOL(hAPP_f1297673713l_bool(hAPP_P240409993l_bool(member563141460on_val,hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Xa_1),Xb_1)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Za),Zb))),transi921647814on_val(R_1))) ),
    inference(fof_nnf,[status(thm)],[fact_755_converse__rtranclE2]) ).

fof(f_897_2,plain,
    ! [U_4745,U_4744,U_4743,U_4742,U_4741] :
      ( ? [U_4740,U_4739] :
          ( hBOOL(hAPP_f1297673713l_bool(hAPP_P240409993l_bool(member563141460on_val,hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_4740),U_4739)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_4743),U_4742))),transi921647814on_val(U_4741)))
          & hBOOL(hAPP_f1297673713l_bool(hAPP_P240409993l_bool(member563141460on_val,hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_4745),U_4744)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_4740),U_4739))),U_4741)) )
      | hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_4745),U_4744) = hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_4743),U_4742)
      | ~ hBOOL(hAPP_f1297673713l_bool(hAPP_P240409993l_bool(member563141460on_val,hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_4745),U_4744)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_4743),U_4742))),transi921647814on_val(U_4741))) ),
    inference(variable_rename,[status(thm)],[f_897_1]) ).

fof(f_897_3,plain,
    ! [U_4745,U_4744,U_4743,U_4742,U_4741] :
      ( ? [U_4739] :
          ( hBOOL(hAPP_f1297673713l_bool(hAPP_P240409993l_bool(member563141460on_val,hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK785(U_4745,U_4744,U_4743,U_4742,U_4741)),U_4739)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_4743),U_4742))),transi921647814on_val(U_4741)))
          & hBOOL(hAPP_f1297673713l_bool(hAPP_P240409993l_bool(member563141460on_val,hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_4745),U_4744)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK785(U_4745,U_4744,U_4743,U_4742,U_4741)),U_4739))),U_4741)) )
      | hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_4745),U_4744) = hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_4743),U_4742)
      | ~ hBOOL(hAPP_f1297673713l_bool(hAPP_P240409993l_bool(member563141460on_val,hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_4745),U_4744)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_4743),U_4742))),transi921647814on_val(U_4741))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK785]),skolemize(U_4740,sK785(U_4745,U_4744,U_4743,U_4742,U_4741))],[f_897_2]) ).

fof(f_897_4,plain,
    ! [U_4745,U_4744,U_4743,U_4742,U_4741] :
      ( ( hBOOL(hAPP_f1297673713l_bool(hAPP_P240409993l_bool(member563141460on_val,hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK785(U_4745,U_4744,U_4743,U_4742,U_4741)),sK786(U_4745,U_4744,U_4743,U_4742,U_4741))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_4743),U_4742))),transi921647814on_val(U_4741)))
        & hBOOL(hAPP_f1297673713l_bool(hAPP_P240409993l_bool(member563141460on_val,hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_4745),U_4744)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK785(U_4745,U_4744,U_4743,U_4742,U_4741)),sK786(U_4745,U_4744,U_4743,U_4742,U_4741)))),U_4741)) )
      | hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_4745),U_4744) = hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_4743),U_4742)
      | ~ hBOOL(hAPP_f1297673713l_bool(hAPP_P240409993l_bool(member563141460on_val,hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_4745),U_4744)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_4743),U_4742))),transi921647814on_val(U_4741))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK786]),skolemize(U_4739,sK786(U_4745,U_4744,U_4743,U_4742,U_4741))],[f_897_3]) ).

cnf(f_897_5,plain,
    ( hBOOL(hAPP_f1297673713l_bool(hAPP_P240409993l_bool(member563141460on_val,hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_4745),U_4744)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK785(U_4745,U_4744,U_4743,U_4742,U_4741)),sK786(U_4745,U_4744,U_4743,U_4742,U_4741)))),U_4741))
    | hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_4745),U_4744) = hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_4743),U_4742)
    | ~ hBOOL(hAPP_f1297673713l_bool(hAPP_P240409993l_bool(member563141460on_val,hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_4745),U_4744)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_4743),U_4742))),transi921647814on_val(U_4741))) ),
    inference(clausify,[status(thm)],[f_897_4]) ).

cnf(f_897_6,plain,
    ( hBOOL(hAPP_f1297673713l_bool(hAPP_P240409993l_bool(member563141460on_val,hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK785(U_4745,U_4744,U_4743,U_4742,U_4741)),sK786(U_4745,U_4744,U_4743,U_4742,U_4741))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_4743),U_4742))),transi921647814on_val(U_4741)))
    | hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_4745),U_4744) = hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_4743),U_4742)
    | ~ hBOOL(hAPP_f1297673713l_bool(hAPP_P240409993l_bool(member563141460on_val,hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_4745),U_4744)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_4743),U_4742))),transi921647814on_val(U_4741))) ),
    inference(clausify,[status(thm)],[f_897_4]) ).

fof(f_898_1,plain,
    ! [Xa_1,Xb_1,Za,Zb,R_1] :
      ( ? [A_1,B_2] :
          ( hBOOL(hAPP_f1261741735l_bool(hAPP_P1362631157l_bool(member808015754on_val,hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_1),B_2)),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,Za),Zb))),transi910771962on_val(R_1)))
          & hBOOL(hAPP_f1261741735l_bool(hAPP_P1362631157l_bool(member808015754on_val,hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,Xa_1),Xb_1)),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_1),B_2))),R_1)) )
      | hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,Xa_1),Xb_1) = hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,Za),Zb)
      | ~ hBOOL(hAPP_f1261741735l_bool(hAPP_P1362631157l_bool(member808015754on_val,hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,Xa_1),Xb_1)),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,Za),Zb))),transi910771962on_val(R_1))) ),
    inference(fof_nnf,[status(thm)],[fact_756_converse__rtranclE2]) ).

fof(f_898_2,plain,
    ! [U_4752,U_4751,U_4750,U_4749,U_4748] :
      ( ? [U_4747,U_4746] :
          ( hBOOL(hAPP_f1261741735l_bool(hAPP_P1362631157l_bool(member808015754on_val,hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_4747),U_4746)),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_4750),U_4749))),transi910771962on_val(U_4748)))
          & hBOOL(hAPP_f1261741735l_bool(hAPP_P1362631157l_bool(member808015754on_val,hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_4752),U_4751)),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_4747),U_4746))),U_4748)) )
      | hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_4752),U_4751) = hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_4750),U_4749)
      | ~ hBOOL(hAPP_f1261741735l_bool(hAPP_P1362631157l_bool(member808015754on_val,hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_4752),U_4751)),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_4750),U_4749))),transi910771962on_val(U_4748))) ),
    inference(variable_rename,[status(thm)],[f_898_1]) ).

fof(f_898_3,plain,
    ! [U_4752,U_4751,U_4750,U_4749,U_4748] :
      ( ? [U_4746] :
          ( hBOOL(hAPP_f1261741735l_bool(hAPP_P1362631157l_bool(member808015754on_val,hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK787(U_4752,U_4751,U_4750,U_4749,U_4748)),U_4746)),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_4750),U_4749))),transi910771962on_val(U_4748)))
          & hBOOL(hAPP_f1261741735l_bool(hAPP_P1362631157l_bool(member808015754on_val,hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_4752),U_4751)),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK787(U_4752,U_4751,U_4750,U_4749,U_4748)),U_4746))),U_4748)) )
      | hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_4752),U_4751) = hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_4750),U_4749)
      | ~ hBOOL(hAPP_f1261741735l_bool(hAPP_P1362631157l_bool(member808015754on_val,hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_4752),U_4751)),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_4750),U_4749))),transi910771962on_val(U_4748))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK787]),skolemize(U_4747,sK787(U_4752,U_4751,U_4750,U_4749,U_4748))],[f_898_2]) ).

fof(f_898_4,plain,
    ! [U_4752,U_4751,U_4750,U_4749,U_4748] :
      ( ( hBOOL(hAPP_f1261741735l_bool(hAPP_P1362631157l_bool(member808015754on_val,hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK787(U_4752,U_4751,U_4750,U_4749,U_4748)),sK788(U_4752,U_4751,U_4750,U_4749,U_4748))),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_4750),U_4749))),transi910771962on_val(U_4748)))
        & hBOOL(hAPP_f1261741735l_bool(hAPP_P1362631157l_bool(member808015754on_val,hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_4752),U_4751)),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK787(U_4752,U_4751,U_4750,U_4749,U_4748)),sK788(U_4752,U_4751,U_4750,U_4749,U_4748)))),U_4748)) )
      | hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_4752),U_4751) = hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_4750),U_4749)
      | ~ hBOOL(hAPP_f1261741735l_bool(hAPP_P1362631157l_bool(member808015754on_val,hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_4752),U_4751)),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_4750),U_4749))),transi910771962on_val(U_4748))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK788]),skolemize(U_4746,sK788(U_4752,U_4751,U_4750,U_4749,U_4748))],[f_898_3]) ).

cnf(f_898_5,plain,
    ( hBOOL(hAPP_f1261741735l_bool(hAPP_P1362631157l_bool(member808015754on_val,hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_4752),U_4751)),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK787(U_4752,U_4751,U_4750,U_4749,U_4748)),sK788(U_4752,U_4751,U_4750,U_4749,U_4748)))),U_4748))
    | hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_4752),U_4751) = hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_4750),U_4749)
    | ~ hBOOL(hAPP_f1261741735l_bool(hAPP_P1362631157l_bool(member808015754on_val,hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_4752),U_4751)),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_4750),U_4749))),transi910771962on_val(U_4748))) ),
    inference(clausify,[status(thm)],[f_898_4]) ).

cnf(f_898_6,plain,
    ( hBOOL(hAPP_f1261741735l_bool(hAPP_P1362631157l_bool(member808015754on_val,hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK787(U_4752,U_4751,U_4750,U_4749,U_4748)),sK788(U_4752,U_4751,U_4750,U_4749,U_4748))),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_4750),U_4749))),transi910771962on_val(U_4748)))
    | hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_4752),U_4751) = hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_4750),U_4749)
    | ~ hBOOL(hAPP_f1261741735l_bool(hAPP_P1362631157l_bool(member808015754on_val,hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_4752),U_4751)),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_4750),U_4749))),transi910771962on_val(U_4748))) ),
    inference(clausify,[status(thm)],[f_898_4]) ).

fof(f_899_1,plain,
    ! [Pa,Ax,Ay,Bx,By,R_1] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(Pa,Ax),Ay))
      | ? [A_1,B_2,Aa,Ba] :
          ( ~ hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(Pa,A_1),B_2))
          & hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(Pa,Aa),Ba))
          & hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Aa),Ba)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Bx),By))),transi374442731on_val(R_1)))
          & hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,A_1),B_2)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Aa),Ba))),R_1)) )
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(Pa,Bx),By))
      | ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Ax),Ay)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Bx),By))),transi374442731on_val(R_1))) ),
    inference(fof_nnf,[status(thm)],[fact_757_converse__rtrancl__induct2]) ).

fof(f_899_2,plain,
    ! [U_4762,U_4761,U_4760,U_4759,U_4758,U_4757] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(U_4762,U_4761),U_4760))
      | ? [U_4756,U_4755,U_4754,U_4753] :
          ( ~ hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(U_4762,U_4756),U_4755))
          & hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(U_4762,U_4754),U_4753))
          & hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_4754),U_4753)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_4759),U_4758))),transi374442731on_val(U_4757)))
          & hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_4756),U_4755)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_4754),U_4753))),U_4757)) )
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(U_4762,U_4759),U_4758))
      | ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_4761),U_4760)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_4759),U_4758))),transi374442731on_val(U_4757))) ),
    inference(variable_rename,[status(thm)],[f_899_1]) ).

fof(f_899_3,plain,
    ! [U_4762,U_4761,U_4760,U_4759,U_4758,U_4757] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(U_4762,U_4761),U_4760))
      | ? [U_4755,U_4754,U_4753] :
          ( ~ hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(U_4762,sK789(U_4762,U_4761,U_4760,U_4759,U_4758,U_4757)),U_4755))
          & hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(U_4762,U_4754),U_4753))
          & hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_4754),U_4753)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_4759),U_4758))),transi374442731on_val(U_4757)))
          & hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,sK789(U_4762,U_4761,U_4760,U_4759,U_4758,U_4757)),U_4755)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_4754),U_4753))),U_4757)) )
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(U_4762,U_4759),U_4758))
      | ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_4761),U_4760)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_4759),U_4758))),transi374442731on_val(U_4757))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK789]),skolemize(U_4756,sK789(U_4762,U_4761,U_4760,U_4759,U_4758,U_4757))],[f_899_2]) ).

fof(f_899_4,plain,
    ! [U_4762,U_4761,U_4760,U_4759,U_4758,U_4757] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(U_4762,U_4761),U_4760))
      | ? [U_4754,U_4753] :
          ( ~ hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(U_4762,sK789(U_4762,U_4761,U_4760,U_4759,U_4758,U_4757)),sK790(U_4762,U_4761,U_4760,U_4759,U_4758,U_4757)))
          & hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(U_4762,U_4754),U_4753))
          & hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_4754),U_4753)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_4759),U_4758))),transi374442731on_val(U_4757)))
          & hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,sK789(U_4762,U_4761,U_4760,U_4759,U_4758,U_4757)),sK790(U_4762,U_4761,U_4760,U_4759,U_4758,U_4757))),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_4754),U_4753))),U_4757)) )
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(U_4762,U_4759),U_4758))
      | ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_4761),U_4760)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_4759),U_4758))),transi374442731on_val(U_4757))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK790]),skolemize(U_4755,sK790(U_4762,U_4761,U_4760,U_4759,U_4758,U_4757))],[f_899_3]) ).

fof(f_899_5,plain,
    ! [U_4762,U_4761,U_4760,U_4759,U_4758,U_4757] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(U_4762,U_4761),U_4760))
      | ? [U_4753] :
          ( ~ hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(U_4762,sK789(U_4762,U_4761,U_4760,U_4759,U_4758,U_4757)),sK790(U_4762,U_4761,U_4760,U_4759,U_4758,U_4757)))
          & hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(U_4762,sK791(U_4762,U_4761,U_4760,U_4759,U_4758,U_4757)),U_4753))
          & hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,sK791(U_4762,U_4761,U_4760,U_4759,U_4758,U_4757)),U_4753)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_4759),U_4758))),transi374442731on_val(U_4757)))
          & hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,sK789(U_4762,U_4761,U_4760,U_4759,U_4758,U_4757)),sK790(U_4762,U_4761,U_4760,U_4759,U_4758,U_4757))),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,sK791(U_4762,U_4761,U_4760,U_4759,U_4758,U_4757)),U_4753))),U_4757)) )
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(U_4762,U_4759),U_4758))
      | ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_4761),U_4760)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_4759),U_4758))),transi374442731on_val(U_4757))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK791]),skolemize(U_4754,sK791(U_4762,U_4761,U_4760,U_4759,U_4758,U_4757))],[f_899_4]) ).

fof(f_899_6,plain,
    ! [U_4762,U_4761,U_4760,U_4759,U_4758,U_4757] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(U_4762,U_4761),U_4760))
      | ( ~ hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(U_4762,sK789(U_4762,U_4761,U_4760,U_4759,U_4758,U_4757)),sK790(U_4762,U_4761,U_4760,U_4759,U_4758,U_4757)))
        & hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(U_4762,sK791(U_4762,U_4761,U_4760,U_4759,U_4758,U_4757)),sK792(U_4762,U_4761,U_4760,U_4759,U_4758,U_4757)))
        & hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,sK791(U_4762,U_4761,U_4760,U_4759,U_4758,U_4757)),sK792(U_4762,U_4761,U_4760,U_4759,U_4758,U_4757))),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_4759),U_4758))),transi374442731on_val(U_4757)))
        & hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,sK789(U_4762,U_4761,U_4760,U_4759,U_4758,U_4757)),sK790(U_4762,U_4761,U_4760,U_4759,U_4758,U_4757))),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,sK791(U_4762,U_4761,U_4760,U_4759,U_4758,U_4757)),sK792(U_4762,U_4761,U_4760,U_4759,U_4758,U_4757)))),U_4757)) )
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(U_4762,U_4759),U_4758))
      | ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_4761),U_4760)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_4759),U_4758))),transi374442731on_val(U_4757))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK792]),skolemize(U_4753,sK792(U_4762,U_4761,U_4760,U_4759,U_4758,U_4757))],[f_899_5]) ).

cnf(f_899_7,plain,
    ( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,sK789(U_4762,U_4761,U_4760,U_4759,U_4758,U_4757)),sK790(U_4762,U_4761,U_4760,U_4759,U_4758,U_4757))),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,sK791(U_4762,U_4761,U_4760,U_4759,U_4758,U_4757)),sK792(U_4762,U_4761,U_4760,U_4759,U_4758,U_4757)))),U_4757))
    | hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(U_4762,U_4761),U_4760))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(U_4762,U_4759),U_4758))
    | ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_4761),U_4760)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_4759),U_4758))),transi374442731on_val(U_4757))) ),
    inference(clausify,[status(thm)],[f_899_6]) ).

cnf(f_899_8,plain,
    ( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,sK791(U_4762,U_4761,U_4760,U_4759,U_4758,U_4757)),sK792(U_4762,U_4761,U_4760,U_4759,U_4758,U_4757))),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_4759),U_4758))),transi374442731on_val(U_4757)))
    | hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(U_4762,U_4761),U_4760))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(U_4762,U_4759),U_4758))
    | ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_4761),U_4760)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_4759),U_4758))),transi374442731on_val(U_4757))) ),
    inference(clausify,[status(thm)],[f_899_6]) ).

cnf(f_899_9,plain,
    ( hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(U_4762,sK791(U_4762,U_4761,U_4760,U_4759,U_4758,U_4757)),sK792(U_4762,U_4761,U_4760,U_4759,U_4758,U_4757)))
    | hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(U_4762,U_4761),U_4760))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(U_4762,U_4759),U_4758))
    | ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_4761),U_4760)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_4759),U_4758))),transi374442731on_val(U_4757))) ),
    inference(clausify,[status(thm)],[f_899_6]) ).

cnf(f_899_10,plain,
    ( ~ hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(U_4762,sK789(U_4762,U_4761,U_4760,U_4759,U_4758,U_4757)),sK790(U_4762,U_4761,U_4760,U_4759,U_4758,U_4757)))
    | hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(U_4762,U_4761),U_4760))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(U_4762,U_4759),U_4758))
    | ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_4761),U_4760)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_4759),U_4758))),transi374442731on_val(U_4757))) ),
    inference(clausify,[status(thm)],[f_899_6]) ).

fof(f_900_1,plain,
    ! [Pa,Ax,Ay,Bx,By,R_1] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(Pa,Ax),Ay))
      | ? [A_1,B_2,Aa,Ba] :
          ( ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(Pa,A_1),B_2))
          & hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(Pa,Aa),Ba))
          & hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Aa),Ba)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Bx),By))),transi2024712006on_val(R_1)))
          & hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A_1),B_2)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Aa),Ba))),R_1)) )
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(Pa,Bx),By))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Ax),Ay)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Bx),By))),transi2024712006on_val(R_1))) ),
    inference(fof_nnf,[status(thm)],[fact_758_converse__rtrancl__induct2]) ).

fof(f_900_2,plain,
    ! [U_4772,U_4771,U_4770,U_4769,U_4768,U_4767] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(U_4772,U_4771),U_4770))
      | ? [U_4766,U_4765,U_4764,U_4763] :
          ( ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(U_4772,U_4766),U_4765))
          & hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(U_4772,U_4764),U_4763))
          & hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_4764),U_4763)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_4769),U_4768))),transi2024712006on_val(U_4767)))
          & hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_4766),U_4765)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_4764),U_4763))),U_4767)) )
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(U_4772,U_4769),U_4768))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_4771),U_4770)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_4769),U_4768))),transi2024712006on_val(U_4767))) ),
    inference(variable_rename,[status(thm)],[f_900_1]) ).

fof(f_900_3,plain,
    ! [U_4772,U_4771,U_4770,U_4769,U_4768,U_4767] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(U_4772,U_4771),U_4770))
      | ? [U_4765,U_4764,U_4763] :
          ( ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(U_4772,sK793(U_4772,U_4771,U_4770,U_4769,U_4768,U_4767)),U_4765))
          & hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(U_4772,U_4764),U_4763))
          & hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_4764),U_4763)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_4769),U_4768))),transi2024712006on_val(U_4767)))
          & hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK793(U_4772,U_4771,U_4770,U_4769,U_4768,U_4767)),U_4765)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_4764),U_4763))),U_4767)) )
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(U_4772,U_4769),U_4768))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_4771),U_4770)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_4769),U_4768))),transi2024712006on_val(U_4767))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK793]),skolemize(U_4766,sK793(U_4772,U_4771,U_4770,U_4769,U_4768,U_4767))],[f_900_2]) ).

fof(f_900_4,plain,
    ! [U_4772,U_4771,U_4770,U_4769,U_4768,U_4767] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(U_4772,U_4771),U_4770))
      | ? [U_4764,U_4763] :
          ( ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(U_4772,sK793(U_4772,U_4771,U_4770,U_4769,U_4768,U_4767)),sK794(U_4772,U_4771,U_4770,U_4769,U_4768,U_4767)))
          & hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(U_4772,U_4764),U_4763))
          & hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_4764),U_4763)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_4769),U_4768))),transi2024712006on_val(U_4767)))
          & hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK793(U_4772,U_4771,U_4770,U_4769,U_4768,U_4767)),sK794(U_4772,U_4771,U_4770,U_4769,U_4768,U_4767))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_4764),U_4763))),U_4767)) )
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(U_4772,U_4769),U_4768))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_4771),U_4770)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_4769),U_4768))),transi2024712006on_val(U_4767))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK794]),skolemize(U_4765,sK794(U_4772,U_4771,U_4770,U_4769,U_4768,U_4767))],[f_900_3]) ).

fof(f_900_5,plain,
    ! [U_4772,U_4771,U_4770,U_4769,U_4768,U_4767] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(U_4772,U_4771),U_4770))
      | ? [U_4763] :
          ( ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(U_4772,sK793(U_4772,U_4771,U_4770,U_4769,U_4768,U_4767)),sK794(U_4772,U_4771,U_4770,U_4769,U_4768,U_4767)))
          & hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(U_4772,sK795(U_4772,U_4771,U_4770,U_4769,U_4768,U_4767)),U_4763))
          & hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK795(U_4772,U_4771,U_4770,U_4769,U_4768,U_4767)),U_4763)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_4769),U_4768))),transi2024712006on_val(U_4767)))
          & hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK793(U_4772,U_4771,U_4770,U_4769,U_4768,U_4767)),sK794(U_4772,U_4771,U_4770,U_4769,U_4768,U_4767))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK795(U_4772,U_4771,U_4770,U_4769,U_4768,U_4767)),U_4763))),U_4767)) )
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(U_4772,U_4769),U_4768))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_4771),U_4770)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_4769),U_4768))),transi2024712006on_val(U_4767))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK795]),skolemize(U_4764,sK795(U_4772,U_4771,U_4770,U_4769,U_4768,U_4767))],[f_900_4]) ).

fof(f_900_6,plain,
    ! [U_4772,U_4771,U_4770,U_4769,U_4768,U_4767] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(U_4772,U_4771),U_4770))
      | ( ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(U_4772,sK793(U_4772,U_4771,U_4770,U_4769,U_4768,U_4767)),sK794(U_4772,U_4771,U_4770,U_4769,U_4768,U_4767)))
        & hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(U_4772,sK795(U_4772,U_4771,U_4770,U_4769,U_4768,U_4767)),sK796(U_4772,U_4771,U_4770,U_4769,U_4768,U_4767)))
        & hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK795(U_4772,U_4771,U_4770,U_4769,U_4768,U_4767)),sK796(U_4772,U_4771,U_4770,U_4769,U_4768,U_4767))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_4769),U_4768))),transi2024712006on_val(U_4767)))
        & hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK793(U_4772,U_4771,U_4770,U_4769,U_4768,U_4767)),sK794(U_4772,U_4771,U_4770,U_4769,U_4768,U_4767))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK795(U_4772,U_4771,U_4770,U_4769,U_4768,U_4767)),sK796(U_4772,U_4771,U_4770,U_4769,U_4768,U_4767)))),U_4767)) )
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(U_4772,U_4769),U_4768))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_4771),U_4770)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_4769),U_4768))),transi2024712006on_val(U_4767))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK796]),skolemize(U_4763,sK796(U_4772,U_4771,U_4770,U_4769,U_4768,U_4767))],[f_900_5]) ).

cnf(f_900_7,plain,
    ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK793(U_4772,U_4771,U_4770,U_4769,U_4768,U_4767)),sK794(U_4772,U_4771,U_4770,U_4769,U_4768,U_4767))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK795(U_4772,U_4771,U_4770,U_4769,U_4768,U_4767)),sK796(U_4772,U_4771,U_4770,U_4769,U_4768,U_4767)))),U_4767))
    | hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(U_4772,U_4771),U_4770))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(U_4772,U_4769),U_4768))
    | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_4771),U_4770)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_4769),U_4768))),transi2024712006on_val(U_4767))) ),
    inference(clausify,[status(thm)],[f_900_6]) ).

cnf(f_900_8,plain,
    ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK795(U_4772,U_4771,U_4770,U_4769,U_4768,U_4767)),sK796(U_4772,U_4771,U_4770,U_4769,U_4768,U_4767))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_4769),U_4768))),transi2024712006on_val(U_4767)))
    | hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(U_4772,U_4771),U_4770))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(U_4772,U_4769),U_4768))
    | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_4771),U_4770)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_4769),U_4768))),transi2024712006on_val(U_4767))) ),
    inference(clausify,[status(thm)],[f_900_6]) ).

cnf(f_900_9,plain,
    ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(U_4772,sK795(U_4772,U_4771,U_4770,U_4769,U_4768,U_4767)),sK796(U_4772,U_4771,U_4770,U_4769,U_4768,U_4767)))
    | hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(U_4772,U_4771),U_4770))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(U_4772,U_4769),U_4768))
    | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_4771),U_4770)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_4769),U_4768))),transi2024712006on_val(U_4767))) ),
    inference(clausify,[status(thm)],[f_900_6]) ).

cnf(f_900_10,plain,
    ( ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(U_4772,sK793(U_4772,U_4771,U_4770,U_4769,U_4768,U_4767)),sK794(U_4772,U_4771,U_4770,U_4769,U_4768,U_4767)))
    | hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(U_4772,U_4771),U_4770))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(U_4772,U_4769),U_4768))
    | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_4771),U_4770)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_4769),U_4768))),transi2024712006on_val(U_4767))) ),
    inference(clausify,[status(thm)],[f_900_6]) ).

fof(f_901_1,plain,
    ! [Pa,Ax,Ay,Bx,By,R_1] :
      ( hBOOL(hAPP_e544220455r_bool(hAPP_l214204733r_bool(Pa,Ax),Ay))
      | ? [A_1,B_2,Aa,Ba] :
          ( ~ hBOOL(hAPP_e544220455r_bool(hAPP_l214204733r_bool(Pa,A_1),B_2))
          & hBOOL(hAPP_e544220455r_bool(hAPP_l214204733r_bool(Pa,Aa),Ba))
          & hBOOL(hAPP_f595031537l_bool(hAPP_P1862681481l_bool(member1999287380t_char,hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,Aa),Ba)),hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,Bx),By))),transi198989188t_char(R_1)))
          & hBOOL(hAPP_f595031537l_bool(hAPP_P1862681481l_bool(member1999287380t_char,hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,A_1),B_2)),hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,Aa),Ba))),R_1)) )
      | ~ hBOOL(hAPP_e544220455r_bool(hAPP_l214204733r_bool(Pa,Bx),By))
      | ~ hBOOL(hAPP_f595031537l_bool(hAPP_P1862681481l_bool(member1999287380t_char,hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,Ax),Ay)),hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,Bx),By))),transi198989188t_char(R_1))) ),
    inference(fof_nnf,[status(thm)],[fact_759_converse__rtrancl__induct2]) ).

fof(f_901_2,plain,
    ! [U_4782,U_4781,U_4780,U_4779,U_4778,U_4777] :
      ( hBOOL(hAPP_e544220455r_bool(hAPP_l214204733r_bool(U_4782,U_4781),U_4780))
      | ? [U_4776,U_4775,U_4774,U_4773] :
          ( ~ hBOOL(hAPP_e544220455r_bool(hAPP_l214204733r_bool(U_4782,U_4776),U_4775))
          & hBOOL(hAPP_e544220455r_bool(hAPP_l214204733r_bool(U_4782,U_4774),U_4773))
          & hBOOL(hAPP_f595031537l_bool(hAPP_P1862681481l_bool(member1999287380t_char,hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_4774),U_4773)),hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_4779),U_4778))),transi198989188t_char(U_4777)))
          & hBOOL(hAPP_f595031537l_bool(hAPP_P1862681481l_bool(member1999287380t_char,hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_4776),U_4775)),hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_4774),U_4773))),U_4777)) )
      | ~ hBOOL(hAPP_e544220455r_bool(hAPP_l214204733r_bool(U_4782,U_4779),U_4778))
      | ~ hBOOL(hAPP_f595031537l_bool(hAPP_P1862681481l_bool(member1999287380t_char,hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_4781),U_4780)),hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_4779),U_4778))),transi198989188t_char(U_4777))) ),
    inference(variable_rename,[status(thm)],[f_901_1]) ).

fof(f_901_3,plain,
    ! [U_4782,U_4781,U_4780,U_4779,U_4778,U_4777] :
      ( hBOOL(hAPP_e544220455r_bool(hAPP_l214204733r_bool(U_4782,U_4781),U_4780))
      | ? [U_4775,U_4774,U_4773] :
          ( ~ hBOOL(hAPP_e544220455r_bool(hAPP_l214204733r_bool(U_4782,sK797(U_4782,U_4781,U_4780,U_4779,U_4778,U_4777)),U_4775))
          & hBOOL(hAPP_e544220455r_bool(hAPP_l214204733r_bool(U_4782,U_4774),U_4773))
          & hBOOL(hAPP_f595031537l_bool(hAPP_P1862681481l_bool(member1999287380t_char,hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_4774),U_4773)),hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_4779),U_4778))),transi198989188t_char(U_4777)))
          & hBOOL(hAPP_f595031537l_bool(hAPP_P1862681481l_bool(member1999287380t_char,hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,sK797(U_4782,U_4781,U_4780,U_4779,U_4778,U_4777)),U_4775)),hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_4774),U_4773))),U_4777)) )
      | ~ hBOOL(hAPP_e544220455r_bool(hAPP_l214204733r_bool(U_4782,U_4779),U_4778))
      | ~ hBOOL(hAPP_f595031537l_bool(hAPP_P1862681481l_bool(member1999287380t_char,hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_4781),U_4780)),hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_4779),U_4778))),transi198989188t_char(U_4777))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK797]),skolemize(U_4776,sK797(U_4782,U_4781,U_4780,U_4779,U_4778,U_4777))],[f_901_2]) ).

fof(f_901_4,plain,
    ! [U_4782,U_4781,U_4780,U_4779,U_4778,U_4777] :
      ( hBOOL(hAPP_e544220455r_bool(hAPP_l214204733r_bool(U_4782,U_4781),U_4780))
      | ? [U_4774,U_4773] :
          ( ~ hBOOL(hAPP_e544220455r_bool(hAPP_l214204733r_bool(U_4782,sK797(U_4782,U_4781,U_4780,U_4779,U_4778,U_4777)),sK798(U_4782,U_4781,U_4780,U_4779,U_4778,U_4777)))
          & hBOOL(hAPP_e544220455r_bool(hAPP_l214204733r_bool(U_4782,U_4774),U_4773))
          & hBOOL(hAPP_f595031537l_bool(hAPP_P1862681481l_bool(member1999287380t_char,hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_4774),U_4773)),hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_4779),U_4778))),transi198989188t_char(U_4777)))
          & hBOOL(hAPP_f595031537l_bool(hAPP_P1862681481l_bool(member1999287380t_char,hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,sK797(U_4782,U_4781,U_4780,U_4779,U_4778,U_4777)),sK798(U_4782,U_4781,U_4780,U_4779,U_4778,U_4777))),hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_4774),U_4773))),U_4777)) )
      | ~ hBOOL(hAPP_e544220455r_bool(hAPP_l214204733r_bool(U_4782,U_4779),U_4778))
      | ~ hBOOL(hAPP_f595031537l_bool(hAPP_P1862681481l_bool(member1999287380t_char,hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_4781),U_4780)),hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_4779),U_4778))),transi198989188t_char(U_4777))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK798]),skolemize(U_4775,sK798(U_4782,U_4781,U_4780,U_4779,U_4778,U_4777))],[f_901_3]) ).

fof(f_901_5,plain,
    ! [U_4782,U_4781,U_4780,U_4779,U_4778,U_4777] :
      ( hBOOL(hAPP_e544220455r_bool(hAPP_l214204733r_bool(U_4782,U_4781),U_4780))
      | ? [U_4773] :
          ( ~ hBOOL(hAPP_e544220455r_bool(hAPP_l214204733r_bool(U_4782,sK797(U_4782,U_4781,U_4780,U_4779,U_4778,U_4777)),sK798(U_4782,U_4781,U_4780,U_4779,U_4778,U_4777)))
          & hBOOL(hAPP_e544220455r_bool(hAPP_l214204733r_bool(U_4782,sK799(U_4782,U_4781,U_4780,U_4779,U_4778,U_4777)),U_4773))
          & hBOOL(hAPP_f595031537l_bool(hAPP_P1862681481l_bool(member1999287380t_char,hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,sK799(U_4782,U_4781,U_4780,U_4779,U_4778,U_4777)),U_4773)),hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_4779),U_4778))),transi198989188t_char(U_4777)))
          & hBOOL(hAPP_f595031537l_bool(hAPP_P1862681481l_bool(member1999287380t_char,hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,sK797(U_4782,U_4781,U_4780,U_4779,U_4778,U_4777)),sK798(U_4782,U_4781,U_4780,U_4779,U_4778,U_4777))),hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,sK799(U_4782,U_4781,U_4780,U_4779,U_4778,U_4777)),U_4773))),U_4777)) )
      | ~ hBOOL(hAPP_e544220455r_bool(hAPP_l214204733r_bool(U_4782,U_4779),U_4778))
      | ~ hBOOL(hAPP_f595031537l_bool(hAPP_P1862681481l_bool(member1999287380t_char,hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_4781),U_4780)),hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_4779),U_4778))),transi198989188t_char(U_4777))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK799]),skolemize(U_4774,sK799(U_4782,U_4781,U_4780,U_4779,U_4778,U_4777))],[f_901_4]) ).

fof(f_901_6,plain,
    ! [U_4782,U_4781,U_4780,U_4779,U_4778,U_4777] :
      ( hBOOL(hAPP_e544220455r_bool(hAPP_l214204733r_bool(U_4782,U_4781),U_4780))
      | ( ~ hBOOL(hAPP_e544220455r_bool(hAPP_l214204733r_bool(U_4782,sK797(U_4782,U_4781,U_4780,U_4779,U_4778,U_4777)),sK798(U_4782,U_4781,U_4780,U_4779,U_4778,U_4777)))
        & hBOOL(hAPP_e544220455r_bool(hAPP_l214204733r_bool(U_4782,sK799(U_4782,U_4781,U_4780,U_4779,U_4778,U_4777)),sK800(U_4782,U_4781,U_4780,U_4779,U_4778,U_4777)))
        & hBOOL(hAPP_f595031537l_bool(hAPP_P1862681481l_bool(member1999287380t_char,hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,sK799(U_4782,U_4781,U_4780,U_4779,U_4778,U_4777)),sK800(U_4782,U_4781,U_4780,U_4779,U_4778,U_4777))),hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_4779),U_4778))),transi198989188t_char(U_4777)))
        & hBOOL(hAPP_f595031537l_bool(hAPP_P1862681481l_bool(member1999287380t_char,hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,sK797(U_4782,U_4781,U_4780,U_4779,U_4778,U_4777)),sK798(U_4782,U_4781,U_4780,U_4779,U_4778,U_4777))),hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,sK799(U_4782,U_4781,U_4780,U_4779,U_4778,U_4777)),sK800(U_4782,U_4781,U_4780,U_4779,U_4778,U_4777)))),U_4777)) )
      | ~ hBOOL(hAPP_e544220455r_bool(hAPP_l214204733r_bool(U_4782,U_4779),U_4778))
      | ~ hBOOL(hAPP_f595031537l_bool(hAPP_P1862681481l_bool(member1999287380t_char,hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_4781),U_4780)),hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_4779),U_4778))),transi198989188t_char(U_4777))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK800]),skolemize(U_4773,sK800(U_4782,U_4781,U_4780,U_4779,U_4778,U_4777))],[f_901_5]) ).

cnf(f_901_7,plain,
    ( hBOOL(hAPP_f595031537l_bool(hAPP_P1862681481l_bool(member1999287380t_char,hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,sK797(U_4782,U_4781,U_4780,U_4779,U_4778,U_4777)),sK798(U_4782,U_4781,U_4780,U_4779,U_4778,U_4777))),hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,sK799(U_4782,U_4781,U_4780,U_4779,U_4778,U_4777)),sK800(U_4782,U_4781,U_4780,U_4779,U_4778,U_4777)))),U_4777))
    | hBOOL(hAPP_e544220455r_bool(hAPP_l214204733r_bool(U_4782,U_4781),U_4780))
    | ~ hBOOL(hAPP_e544220455r_bool(hAPP_l214204733r_bool(U_4782,U_4779),U_4778))
    | ~ hBOOL(hAPP_f595031537l_bool(hAPP_P1862681481l_bool(member1999287380t_char,hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_4781),U_4780)),hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_4779),U_4778))),transi198989188t_char(U_4777))) ),
    inference(clausify,[status(thm)],[f_901_6]) ).

cnf(f_901_8,plain,
    ( hBOOL(hAPP_f595031537l_bool(hAPP_P1862681481l_bool(member1999287380t_char,hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,sK799(U_4782,U_4781,U_4780,U_4779,U_4778,U_4777)),sK800(U_4782,U_4781,U_4780,U_4779,U_4778,U_4777))),hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_4779),U_4778))),transi198989188t_char(U_4777)))
    | hBOOL(hAPP_e544220455r_bool(hAPP_l214204733r_bool(U_4782,U_4781),U_4780))
    | ~ hBOOL(hAPP_e544220455r_bool(hAPP_l214204733r_bool(U_4782,U_4779),U_4778))
    | ~ hBOOL(hAPP_f595031537l_bool(hAPP_P1862681481l_bool(member1999287380t_char,hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_4781),U_4780)),hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_4779),U_4778))),transi198989188t_char(U_4777))) ),
    inference(clausify,[status(thm)],[f_901_6]) ).

cnf(f_901_9,plain,
    ( hBOOL(hAPP_e544220455r_bool(hAPP_l214204733r_bool(U_4782,sK799(U_4782,U_4781,U_4780,U_4779,U_4778,U_4777)),sK800(U_4782,U_4781,U_4780,U_4779,U_4778,U_4777)))
    | hBOOL(hAPP_e544220455r_bool(hAPP_l214204733r_bool(U_4782,U_4781),U_4780))
    | ~ hBOOL(hAPP_e544220455r_bool(hAPP_l214204733r_bool(U_4782,U_4779),U_4778))
    | ~ hBOOL(hAPP_f595031537l_bool(hAPP_P1862681481l_bool(member1999287380t_char,hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_4781),U_4780)),hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_4779),U_4778))),transi198989188t_char(U_4777))) ),
    inference(clausify,[status(thm)],[f_901_6]) ).

cnf(f_901_10,plain,
    ( ~ hBOOL(hAPP_e544220455r_bool(hAPP_l214204733r_bool(U_4782,sK797(U_4782,U_4781,U_4780,U_4779,U_4778,U_4777)),sK798(U_4782,U_4781,U_4780,U_4779,U_4778,U_4777)))
    | hBOOL(hAPP_e544220455r_bool(hAPP_l214204733r_bool(U_4782,U_4781),U_4780))
    | ~ hBOOL(hAPP_e544220455r_bool(hAPP_l214204733r_bool(U_4782,U_4779),U_4778))
    | ~ hBOOL(hAPP_f595031537l_bool(hAPP_P1862681481l_bool(member1999287380t_char,hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_4781),U_4780)),hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_4779),U_4778))),transi198989188t_char(U_4777))) ),
    inference(clausify,[status(thm)],[f_901_6]) ).

fof(f_902_1,plain,
    ! [Pa,Ax,Ay,Bx,By,R_1] :
      ( hBOOL(hAPP_l902158906r_bool(hAPP_l24694616r_bool(Pa,Ax),Ay))
      | ? [A_1,B_2,Aa,Ba] :
          ( ~ hBOOL(hAPP_l902158906r_bool(hAPP_l24694616r_bool(Pa,A_1),B_2))
          & hBOOL(hAPP_l902158906r_bool(hAPP_l24694616r_bool(Pa,Aa),Ba))
          & hBOOL(hAPP_f126445617l_bool(hAPP_P1313790473l_bool(member1551446420t_char,hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,Aa),Ba)),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,Bx),By))),transi772168185t_char(R_1)))
          & hBOOL(hAPP_f126445617l_bool(hAPP_P1313790473l_bool(member1551446420t_char,hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,A_1),B_2)),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,Aa),Ba))),R_1)) )
      | ~ hBOOL(hAPP_l902158906r_bool(hAPP_l24694616r_bool(Pa,Bx),By))
      | ~ hBOOL(hAPP_f126445617l_bool(hAPP_P1313790473l_bool(member1551446420t_char,hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,Ax),Ay)),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,Bx),By))),transi772168185t_char(R_1))) ),
    inference(fof_nnf,[status(thm)],[fact_760_converse__rtrancl__induct2]) ).

fof(f_902_2,plain,
    ! [U_4792,U_4791,U_4790,U_4789,U_4788,U_4787] :
      ( hBOOL(hAPP_l902158906r_bool(hAPP_l24694616r_bool(U_4792,U_4791),U_4790))
      | ? [U_4786,U_4785,U_4784,U_4783] :
          ( ~ hBOOL(hAPP_l902158906r_bool(hAPP_l24694616r_bool(U_4792,U_4786),U_4785))
          & hBOOL(hAPP_l902158906r_bool(hAPP_l24694616r_bool(U_4792,U_4784),U_4783))
          & hBOOL(hAPP_f126445617l_bool(hAPP_P1313790473l_bool(member1551446420t_char,hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_4784),U_4783)),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_4789),U_4788))),transi772168185t_char(U_4787)))
          & hBOOL(hAPP_f126445617l_bool(hAPP_P1313790473l_bool(member1551446420t_char,hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_4786),U_4785)),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_4784),U_4783))),U_4787)) )
      | ~ hBOOL(hAPP_l902158906r_bool(hAPP_l24694616r_bool(U_4792,U_4789),U_4788))
      | ~ hBOOL(hAPP_f126445617l_bool(hAPP_P1313790473l_bool(member1551446420t_char,hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_4791),U_4790)),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_4789),U_4788))),transi772168185t_char(U_4787))) ),
    inference(variable_rename,[status(thm)],[f_902_1]) ).

fof(f_902_3,plain,
    ! [U_4792,U_4791,U_4790,U_4789,U_4788,U_4787] :
      ( hBOOL(hAPP_l902158906r_bool(hAPP_l24694616r_bool(U_4792,U_4791),U_4790))
      | ? [U_4785,U_4784,U_4783] :
          ( ~ hBOOL(hAPP_l902158906r_bool(hAPP_l24694616r_bool(U_4792,sK801(U_4792,U_4791,U_4790,U_4789,U_4788,U_4787)),U_4785))
          & hBOOL(hAPP_l902158906r_bool(hAPP_l24694616r_bool(U_4792,U_4784),U_4783))
          & hBOOL(hAPP_f126445617l_bool(hAPP_P1313790473l_bool(member1551446420t_char,hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_4784),U_4783)),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_4789),U_4788))),transi772168185t_char(U_4787)))
          & hBOOL(hAPP_f126445617l_bool(hAPP_P1313790473l_bool(member1551446420t_char,hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,sK801(U_4792,U_4791,U_4790,U_4789,U_4788,U_4787)),U_4785)),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_4784),U_4783))),U_4787)) )
      | ~ hBOOL(hAPP_l902158906r_bool(hAPP_l24694616r_bool(U_4792,U_4789),U_4788))
      | ~ hBOOL(hAPP_f126445617l_bool(hAPP_P1313790473l_bool(member1551446420t_char,hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_4791),U_4790)),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_4789),U_4788))),transi772168185t_char(U_4787))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK801]),skolemize(U_4786,sK801(U_4792,U_4791,U_4790,U_4789,U_4788,U_4787))],[f_902_2]) ).

fof(f_902_4,plain,
    ! [U_4792,U_4791,U_4790,U_4789,U_4788,U_4787] :
      ( hBOOL(hAPP_l902158906r_bool(hAPP_l24694616r_bool(U_4792,U_4791),U_4790))
      | ? [U_4784,U_4783] :
          ( ~ hBOOL(hAPP_l902158906r_bool(hAPP_l24694616r_bool(U_4792,sK801(U_4792,U_4791,U_4790,U_4789,U_4788,U_4787)),sK802(U_4792,U_4791,U_4790,U_4789,U_4788,U_4787)))
          & hBOOL(hAPP_l902158906r_bool(hAPP_l24694616r_bool(U_4792,U_4784),U_4783))
          & hBOOL(hAPP_f126445617l_bool(hAPP_P1313790473l_bool(member1551446420t_char,hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_4784),U_4783)),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_4789),U_4788))),transi772168185t_char(U_4787)))
          & hBOOL(hAPP_f126445617l_bool(hAPP_P1313790473l_bool(member1551446420t_char,hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,sK801(U_4792,U_4791,U_4790,U_4789,U_4788,U_4787)),sK802(U_4792,U_4791,U_4790,U_4789,U_4788,U_4787))),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_4784),U_4783))),U_4787)) )
      | ~ hBOOL(hAPP_l902158906r_bool(hAPP_l24694616r_bool(U_4792,U_4789),U_4788))
      | ~ hBOOL(hAPP_f126445617l_bool(hAPP_P1313790473l_bool(member1551446420t_char,hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_4791),U_4790)),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_4789),U_4788))),transi772168185t_char(U_4787))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK802]),skolemize(U_4785,sK802(U_4792,U_4791,U_4790,U_4789,U_4788,U_4787))],[f_902_3]) ).

fof(f_902_5,plain,
    ! [U_4792,U_4791,U_4790,U_4789,U_4788,U_4787] :
      ( hBOOL(hAPP_l902158906r_bool(hAPP_l24694616r_bool(U_4792,U_4791),U_4790))
      | ? [U_4783] :
          ( ~ hBOOL(hAPP_l902158906r_bool(hAPP_l24694616r_bool(U_4792,sK801(U_4792,U_4791,U_4790,U_4789,U_4788,U_4787)),sK802(U_4792,U_4791,U_4790,U_4789,U_4788,U_4787)))
          & hBOOL(hAPP_l902158906r_bool(hAPP_l24694616r_bool(U_4792,sK803(U_4792,U_4791,U_4790,U_4789,U_4788,U_4787)),U_4783))
          & hBOOL(hAPP_f126445617l_bool(hAPP_P1313790473l_bool(member1551446420t_char,hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,sK803(U_4792,U_4791,U_4790,U_4789,U_4788,U_4787)),U_4783)),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_4789),U_4788))),transi772168185t_char(U_4787)))
          & hBOOL(hAPP_f126445617l_bool(hAPP_P1313790473l_bool(member1551446420t_char,hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,sK801(U_4792,U_4791,U_4790,U_4789,U_4788,U_4787)),sK802(U_4792,U_4791,U_4790,U_4789,U_4788,U_4787))),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,sK803(U_4792,U_4791,U_4790,U_4789,U_4788,U_4787)),U_4783))),U_4787)) )
      | ~ hBOOL(hAPP_l902158906r_bool(hAPP_l24694616r_bool(U_4792,U_4789),U_4788))
      | ~ hBOOL(hAPP_f126445617l_bool(hAPP_P1313790473l_bool(member1551446420t_char,hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_4791),U_4790)),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_4789),U_4788))),transi772168185t_char(U_4787))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK803]),skolemize(U_4784,sK803(U_4792,U_4791,U_4790,U_4789,U_4788,U_4787))],[f_902_4]) ).

fof(f_902_6,plain,
    ! [U_4792,U_4791,U_4790,U_4789,U_4788,U_4787] :
      ( hBOOL(hAPP_l902158906r_bool(hAPP_l24694616r_bool(U_4792,U_4791),U_4790))
      | ( ~ hBOOL(hAPP_l902158906r_bool(hAPP_l24694616r_bool(U_4792,sK801(U_4792,U_4791,U_4790,U_4789,U_4788,U_4787)),sK802(U_4792,U_4791,U_4790,U_4789,U_4788,U_4787)))
        & hBOOL(hAPP_l902158906r_bool(hAPP_l24694616r_bool(U_4792,sK803(U_4792,U_4791,U_4790,U_4789,U_4788,U_4787)),sK804(U_4792,U_4791,U_4790,U_4789,U_4788,U_4787)))
        & hBOOL(hAPP_f126445617l_bool(hAPP_P1313790473l_bool(member1551446420t_char,hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,sK803(U_4792,U_4791,U_4790,U_4789,U_4788,U_4787)),sK804(U_4792,U_4791,U_4790,U_4789,U_4788,U_4787))),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_4789),U_4788))),transi772168185t_char(U_4787)))
        & hBOOL(hAPP_f126445617l_bool(hAPP_P1313790473l_bool(member1551446420t_char,hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,sK801(U_4792,U_4791,U_4790,U_4789,U_4788,U_4787)),sK802(U_4792,U_4791,U_4790,U_4789,U_4788,U_4787))),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,sK803(U_4792,U_4791,U_4790,U_4789,U_4788,U_4787)),sK804(U_4792,U_4791,U_4790,U_4789,U_4788,U_4787)))),U_4787)) )
      | ~ hBOOL(hAPP_l902158906r_bool(hAPP_l24694616r_bool(U_4792,U_4789),U_4788))
      | ~ hBOOL(hAPP_f126445617l_bool(hAPP_P1313790473l_bool(member1551446420t_char,hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_4791),U_4790)),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_4789),U_4788))),transi772168185t_char(U_4787))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK804]),skolemize(U_4783,sK804(U_4792,U_4791,U_4790,U_4789,U_4788,U_4787))],[f_902_5]) ).

cnf(f_902_7,plain,
    ( hBOOL(hAPP_f126445617l_bool(hAPP_P1313790473l_bool(member1551446420t_char,hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,sK801(U_4792,U_4791,U_4790,U_4789,U_4788,U_4787)),sK802(U_4792,U_4791,U_4790,U_4789,U_4788,U_4787))),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,sK803(U_4792,U_4791,U_4790,U_4789,U_4788,U_4787)),sK804(U_4792,U_4791,U_4790,U_4789,U_4788,U_4787)))),U_4787))
    | hBOOL(hAPP_l902158906r_bool(hAPP_l24694616r_bool(U_4792,U_4791),U_4790))
    | ~ hBOOL(hAPP_l902158906r_bool(hAPP_l24694616r_bool(U_4792,U_4789),U_4788))
    | ~ hBOOL(hAPP_f126445617l_bool(hAPP_P1313790473l_bool(member1551446420t_char,hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_4791),U_4790)),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_4789),U_4788))),transi772168185t_char(U_4787))) ),
    inference(clausify,[status(thm)],[f_902_6]) ).

cnf(f_902_8,plain,
    ( hBOOL(hAPP_f126445617l_bool(hAPP_P1313790473l_bool(member1551446420t_char,hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,sK803(U_4792,U_4791,U_4790,U_4789,U_4788,U_4787)),sK804(U_4792,U_4791,U_4790,U_4789,U_4788,U_4787))),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_4789),U_4788))),transi772168185t_char(U_4787)))
    | hBOOL(hAPP_l902158906r_bool(hAPP_l24694616r_bool(U_4792,U_4791),U_4790))
    | ~ hBOOL(hAPP_l902158906r_bool(hAPP_l24694616r_bool(U_4792,U_4789),U_4788))
    | ~ hBOOL(hAPP_f126445617l_bool(hAPP_P1313790473l_bool(member1551446420t_char,hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_4791),U_4790)),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_4789),U_4788))),transi772168185t_char(U_4787))) ),
    inference(clausify,[status(thm)],[f_902_6]) ).

cnf(f_902_9,plain,
    ( hBOOL(hAPP_l902158906r_bool(hAPP_l24694616r_bool(U_4792,sK803(U_4792,U_4791,U_4790,U_4789,U_4788,U_4787)),sK804(U_4792,U_4791,U_4790,U_4789,U_4788,U_4787)))
    | hBOOL(hAPP_l902158906r_bool(hAPP_l24694616r_bool(U_4792,U_4791),U_4790))
    | ~ hBOOL(hAPP_l902158906r_bool(hAPP_l24694616r_bool(U_4792,U_4789),U_4788))
    | ~ hBOOL(hAPP_f126445617l_bool(hAPP_P1313790473l_bool(member1551446420t_char,hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_4791),U_4790)),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_4789),U_4788))),transi772168185t_char(U_4787))) ),
    inference(clausify,[status(thm)],[f_902_6]) ).

cnf(f_902_10,plain,
    ( ~ hBOOL(hAPP_l902158906r_bool(hAPP_l24694616r_bool(U_4792,sK801(U_4792,U_4791,U_4790,U_4789,U_4788,U_4787)),sK802(U_4792,U_4791,U_4790,U_4789,U_4788,U_4787)))
    | hBOOL(hAPP_l902158906r_bool(hAPP_l24694616r_bool(U_4792,U_4791),U_4790))
    | ~ hBOOL(hAPP_l902158906r_bool(hAPP_l24694616r_bool(U_4792,U_4789),U_4788))
    | ~ hBOOL(hAPP_f126445617l_bool(hAPP_P1313790473l_bool(member1551446420t_char,hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_4791),U_4790)),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_4789),U_4788))),transi772168185t_char(U_4787))) ),
    inference(clausify,[status(thm)],[f_902_6]) ).

fof(f_903_1,plain,
    ! [Pa,Ax,Ay,Bx,By,R_1] :
      ( hBOOL(hAPP_P828904212r_bool(hAPP_l1342015621r_bool(Pa,Ax),Ay))
      | ? [A_1,B_2,Aa,Ba] :
          ( ~ hBOOL(hAPP_P828904212r_bool(hAPP_l1342015621r_bool(Pa,A_1),B_2))
          & hBOOL(hAPP_P828904212r_bool(hAPP_l1342015621r_bool(Pa,Aa),Ba))
          & hBOOL(hAPP_f272179441l_bool(hAPP_P396425609l_bool(member1607118676t_char,hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,Aa),Ba)),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,Bx),By))),transi2005320128t_char(R_1)))
          & hBOOL(hAPP_f272179441l_bool(hAPP_P396425609l_bool(member1607118676t_char,hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,A_1),B_2)),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,Aa),Ba))),R_1)) )
      | ~ hBOOL(hAPP_P828904212r_bool(hAPP_l1342015621r_bool(Pa,Bx),By))
      | ~ hBOOL(hAPP_f272179441l_bool(hAPP_P396425609l_bool(member1607118676t_char,hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,Ax),Ay)),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,Bx),By))),transi2005320128t_char(R_1))) ),
    inference(fof_nnf,[status(thm)],[fact_761_converse__rtrancl__induct2]) ).

fof(f_903_2,plain,
    ! [U_4802,U_4801,U_4800,U_4799,U_4798,U_4797] :
      ( hBOOL(hAPP_P828904212r_bool(hAPP_l1342015621r_bool(U_4802,U_4801),U_4800))
      | ? [U_4796,U_4795,U_4794,U_4793] :
          ( ~ hBOOL(hAPP_P828904212r_bool(hAPP_l1342015621r_bool(U_4802,U_4796),U_4795))
          & hBOOL(hAPP_P828904212r_bool(hAPP_l1342015621r_bool(U_4802,U_4794),U_4793))
          & hBOOL(hAPP_f272179441l_bool(hAPP_P396425609l_bool(member1607118676t_char,hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_4794),U_4793)),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_4799),U_4798))),transi2005320128t_char(U_4797)))
          & hBOOL(hAPP_f272179441l_bool(hAPP_P396425609l_bool(member1607118676t_char,hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_4796),U_4795)),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_4794),U_4793))),U_4797)) )
      | ~ hBOOL(hAPP_P828904212r_bool(hAPP_l1342015621r_bool(U_4802,U_4799),U_4798))
      | ~ hBOOL(hAPP_f272179441l_bool(hAPP_P396425609l_bool(member1607118676t_char,hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_4801),U_4800)),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_4799),U_4798))),transi2005320128t_char(U_4797))) ),
    inference(variable_rename,[status(thm)],[f_903_1]) ).

fof(f_903_3,plain,
    ! [U_4802,U_4801,U_4800,U_4799,U_4798,U_4797] :
      ( hBOOL(hAPP_P828904212r_bool(hAPP_l1342015621r_bool(U_4802,U_4801),U_4800))
      | ? [U_4795,U_4794,U_4793] :
          ( ~ hBOOL(hAPP_P828904212r_bool(hAPP_l1342015621r_bool(U_4802,sK805(U_4802,U_4801,U_4800,U_4799,U_4798,U_4797)),U_4795))
          & hBOOL(hAPP_P828904212r_bool(hAPP_l1342015621r_bool(U_4802,U_4794),U_4793))
          & hBOOL(hAPP_f272179441l_bool(hAPP_P396425609l_bool(member1607118676t_char,hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_4794),U_4793)),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_4799),U_4798))),transi2005320128t_char(U_4797)))
          & hBOOL(hAPP_f272179441l_bool(hAPP_P396425609l_bool(member1607118676t_char,hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,sK805(U_4802,U_4801,U_4800,U_4799,U_4798,U_4797)),U_4795)),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_4794),U_4793))),U_4797)) )
      | ~ hBOOL(hAPP_P828904212r_bool(hAPP_l1342015621r_bool(U_4802,U_4799),U_4798))
      | ~ hBOOL(hAPP_f272179441l_bool(hAPP_P396425609l_bool(member1607118676t_char,hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_4801),U_4800)),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_4799),U_4798))),transi2005320128t_char(U_4797))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK805]),skolemize(U_4796,sK805(U_4802,U_4801,U_4800,U_4799,U_4798,U_4797))],[f_903_2]) ).

fof(f_903_4,plain,
    ! [U_4802,U_4801,U_4800,U_4799,U_4798,U_4797] :
      ( hBOOL(hAPP_P828904212r_bool(hAPP_l1342015621r_bool(U_4802,U_4801),U_4800))
      | ? [U_4794,U_4793] :
          ( ~ hBOOL(hAPP_P828904212r_bool(hAPP_l1342015621r_bool(U_4802,sK805(U_4802,U_4801,U_4800,U_4799,U_4798,U_4797)),sK806(U_4802,U_4801,U_4800,U_4799,U_4798,U_4797)))
          & hBOOL(hAPP_P828904212r_bool(hAPP_l1342015621r_bool(U_4802,U_4794),U_4793))
          & hBOOL(hAPP_f272179441l_bool(hAPP_P396425609l_bool(member1607118676t_char,hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_4794),U_4793)),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_4799),U_4798))),transi2005320128t_char(U_4797)))
          & hBOOL(hAPP_f272179441l_bool(hAPP_P396425609l_bool(member1607118676t_char,hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,sK805(U_4802,U_4801,U_4800,U_4799,U_4798,U_4797)),sK806(U_4802,U_4801,U_4800,U_4799,U_4798,U_4797))),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_4794),U_4793))),U_4797)) )
      | ~ hBOOL(hAPP_P828904212r_bool(hAPP_l1342015621r_bool(U_4802,U_4799),U_4798))
      | ~ hBOOL(hAPP_f272179441l_bool(hAPP_P396425609l_bool(member1607118676t_char,hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_4801),U_4800)),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_4799),U_4798))),transi2005320128t_char(U_4797))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK806]),skolemize(U_4795,sK806(U_4802,U_4801,U_4800,U_4799,U_4798,U_4797))],[f_903_3]) ).

fof(f_903_5,plain,
    ! [U_4802,U_4801,U_4800,U_4799,U_4798,U_4797] :
      ( hBOOL(hAPP_P828904212r_bool(hAPP_l1342015621r_bool(U_4802,U_4801),U_4800))
      | ? [U_4793] :
          ( ~ hBOOL(hAPP_P828904212r_bool(hAPP_l1342015621r_bool(U_4802,sK805(U_4802,U_4801,U_4800,U_4799,U_4798,U_4797)),sK806(U_4802,U_4801,U_4800,U_4799,U_4798,U_4797)))
          & hBOOL(hAPP_P828904212r_bool(hAPP_l1342015621r_bool(U_4802,sK807(U_4802,U_4801,U_4800,U_4799,U_4798,U_4797)),U_4793))
          & hBOOL(hAPP_f272179441l_bool(hAPP_P396425609l_bool(member1607118676t_char,hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,sK807(U_4802,U_4801,U_4800,U_4799,U_4798,U_4797)),U_4793)),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_4799),U_4798))),transi2005320128t_char(U_4797)))
          & hBOOL(hAPP_f272179441l_bool(hAPP_P396425609l_bool(member1607118676t_char,hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,sK805(U_4802,U_4801,U_4800,U_4799,U_4798,U_4797)),sK806(U_4802,U_4801,U_4800,U_4799,U_4798,U_4797))),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,sK807(U_4802,U_4801,U_4800,U_4799,U_4798,U_4797)),U_4793))),U_4797)) )
      | ~ hBOOL(hAPP_P828904212r_bool(hAPP_l1342015621r_bool(U_4802,U_4799),U_4798))
      | ~ hBOOL(hAPP_f272179441l_bool(hAPP_P396425609l_bool(member1607118676t_char,hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_4801),U_4800)),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_4799),U_4798))),transi2005320128t_char(U_4797))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK807]),skolemize(U_4794,sK807(U_4802,U_4801,U_4800,U_4799,U_4798,U_4797))],[f_903_4]) ).

fof(f_903_6,plain,
    ! [U_4802,U_4801,U_4800,U_4799,U_4798,U_4797] :
      ( hBOOL(hAPP_P828904212r_bool(hAPP_l1342015621r_bool(U_4802,U_4801),U_4800))
      | ( ~ hBOOL(hAPP_P828904212r_bool(hAPP_l1342015621r_bool(U_4802,sK805(U_4802,U_4801,U_4800,U_4799,U_4798,U_4797)),sK806(U_4802,U_4801,U_4800,U_4799,U_4798,U_4797)))
        & hBOOL(hAPP_P828904212r_bool(hAPP_l1342015621r_bool(U_4802,sK807(U_4802,U_4801,U_4800,U_4799,U_4798,U_4797)),sK808(U_4802,U_4801,U_4800,U_4799,U_4798,U_4797)))
        & hBOOL(hAPP_f272179441l_bool(hAPP_P396425609l_bool(member1607118676t_char,hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,sK807(U_4802,U_4801,U_4800,U_4799,U_4798,U_4797)),sK808(U_4802,U_4801,U_4800,U_4799,U_4798,U_4797))),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_4799),U_4798))),transi2005320128t_char(U_4797)))
        & hBOOL(hAPP_f272179441l_bool(hAPP_P396425609l_bool(member1607118676t_char,hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,sK805(U_4802,U_4801,U_4800,U_4799,U_4798,U_4797)),sK806(U_4802,U_4801,U_4800,U_4799,U_4798,U_4797))),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,sK807(U_4802,U_4801,U_4800,U_4799,U_4798,U_4797)),sK808(U_4802,U_4801,U_4800,U_4799,U_4798,U_4797)))),U_4797)) )
      | ~ hBOOL(hAPP_P828904212r_bool(hAPP_l1342015621r_bool(U_4802,U_4799),U_4798))
      | ~ hBOOL(hAPP_f272179441l_bool(hAPP_P396425609l_bool(member1607118676t_char,hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_4801),U_4800)),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_4799),U_4798))),transi2005320128t_char(U_4797))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK808]),skolemize(U_4793,sK808(U_4802,U_4801,U_4800,U_4799,U_4798,U_4797))],[f_903_5]) ).

cnf(f_903_7,plain,
    ( hBOOL(hAPP_f272179441l_bool(hAPP_P396425609l_bool(member1607118676t_char,hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,sK805(U_4802,U_4801,U_4800,U_4799,U_4798,U_4797)),sK806(U_4802,U_4801,U_4800,U_4799,U_4798,U_4797))),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,sK807(U_4802,U_4801,U_4800,U_4799,U_4798,U_4797)),sK808(U_4802,U_4801,U_4800,U_4799,U_4798,U_4797)))),U_4797))
    | hBOOL(hAPP_P828904212r_bool(hAPP_l1342015621r_bool(U_4802,U_4801),U_4800))
    | ~ hBOOL(hAPP_P828904212r_bool(hAPP_l1342015621r_bool(U_4802,U_4799),U_4798))
    | ~ hBOOL(hAPP_f272179441l_bool(hAPP_P396425609l_bool(member1607118676t_char,hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_4801),U_4800)),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_4799),U_4798))),transi2005320128t_char(U_4797))) ),
    inference(clausify,[status(thm)],[f_903_6]) ).

cnf(f_903_8,plain,
    ( hBOOL(hAPP_f272179441l_bool(hAPP_P396425609l_bool(member1607118676t_char,hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,sK807(U_4802,U_4801,U_4800,U_4799,U_4798,U_4797)),sK808(U_4802,U_4801,U_4800,U_4799,U_4798,U_4797))),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_4799),U_4798))),transi2005320128t_char(U_4797)))
    | hBOOL(hAPP_P828904212r_bool(hAPP_l1342015621r_bool(U_4802,U_4801),U_4800))
    | ~ hBOOL(hAPP_P828904212r_bool(hAPP_l1342015621r_bool(U_4802,U_4799),U_4798))
    | ~ hBOOL(hAPP_f272179441l_bool(hAPP_P396425609l_bool(member1607118676t_char,hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_4801),U_4800)),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_4799),U_4798))),transi2005320128t_char(U_4797))) ),
    inference(clausify,[status(thm)],[f_903_6]) ).

cnf(f_903_9,plain,
    ( hBOOL(hAPP_P828904212r_bool(hAPP_l1342015621r_bool(U_4802,sK807(U_4802,U_4801,U_4800,U_4799,U_4798,U_4797)),sK808(U_4802,U_4801,U_4800,U_4799,U_4798,U_4797)))
    | hBOOL(hAPP_P828904212r_bool(hAPP_l1342015621r_bool(U_4802,U_4801),U_4800))
    | ~ hBOOL(hAPP_P828904212r_bool(hAPP_l1342015621r_bool(U_4802,U_4799),U_4798))
    | ~ hBOOL(hAPP_f272179441l_bool(hAPP_P396425609l_bool(member1607118676t_char,hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_4801),U_4800)),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_4799),U_4798))),transi2005320128t_char(U_4797))) ),
    inference(clausify,[status(thm)],[f_903_6]) ).

cnf(f_903_10,plain,
    ( ~ hBOOL(hAPP_P828904212r_bool(hAPP_l1342015621r_bool(U_4802,sK805(U_4802,U_4801,U_4800,U_4799,U_4798,U_4797)),sK806(U_4802,U_4801,U_4800,U_4799,U_4798,U_4797)))
    | hBOOL(hAPP_P828904212r_bool(hAPP_l1342015621r_bool(U_4802,U_4801),U_4800))
    | ~ hBOOL(hAPP_P828904212r_bool(hAPP_l1342015621r_bool(U_4802,U_4799),U_4798))
    | ~ hBOOL(hAPP_f272179441l_bool(hAPP_P396425609l_bool(member1607118676t_char,hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_4801),U_4800)),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_4799),U_4798))),transi2005320128t_char(U_4797))) ),
    inference(clausify,[status(thm)],[f_903_6]) ).

fof(f_904_1,plain,
    ! [Pa,Ax,Ay,Bx,By,R_1] :
      ( hBOOL(hAPP_P659547099r_bool(hAPP_l2140727500r_bool(Pa,Ax),Ay))
      | ? [A_1,B_2,Aa,Ba] :
          ( ~ hBOOL(hAPP_P659547099r_bool(hAPP_l2140727500r_bool(Pa,A_1),B_2))
          & hBOOL(hAPP_P659547099r_bool(hAPP_l2140727500r_bool(Pa,Aa),Ba))
          & hBOOL(hAPP_f538118321l_bool(hAPP_P1390376713l_bool(member162552852t_char,hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,Aa),Ba)),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,Bx),By))),transi1123801095t_char(R_1)))
          & hBOOL(hAPP_f538118321l_bool(hAPP_P1390376713l_bool(member162552852t_char,hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,A_1),B_2)),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,Aa),Ba))),R_1)) )
      | ~ hBOOL(hAPP_P659547099r_bool(hAPP_l2140727500r_bool(Pa,Bx),By))
      | ~ hBOOL(hAPP_f538118321l_bool(hAPP_P1390376713l_bool(member162552852t_char,hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,Ax),Ay)),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,Bx),By))),transi1123801095t_char(R_1))) ),
    inference(fof_nnf,[status(thm)],[fact_762_converse__rtrancl__induct2]) ).

fof(f_904_2,plain,
    ! [U_4812,U_4811,U_4810,U_4809,U_4808,U_4807] :
      ( hBOOL(hAPP_P659547099r_bool(hAPP_l2140727500r_bool(U_4812,U_4811),U_4810))
      | ? [U_4806,U_4805,U_4804,U_4803] :
          ( ~ hBOOL(hAPP_P659547099r_bool(hAPP_l2140727500r_bool(U_4812,U_4806),U_4805))
          & hBOOL(hAPP_P659547099r_bool(hAPP_l2140727500r_bool(U_4812,U_4804),U_4803))
          & hBOOL(hAPP_f538118321l_bool(hAPP_P1390376713l_bool(member162552852t_char,hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_4804),U_4803)),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_4809),U_4808))),transi1123801095t_char(U_4807)))
          & hBOOL(hAPP_f538118321l_bool(hAPP_P1390376713l_bool(member162552852t_char,hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_4806),U_4805)),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_4804),U_4803))),U_4807)) )
      | ~ hBOOL(hAPP_P659547099r_bool(hAPP_l2140727500r_bool(U_4812,U_4809),U_4808))
      | ~ hBOOL(hAPP_f538118321l_bool(hAPP_P1390376713l_bool(member162552852t_char,hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_4811),U_4810)),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_4809),U_4808))),transi1123801095t_char(U_4807))) ),
    inference(variable_rename,[status(thm)],[f_904_1]) ).

fof(f_904_3,plain,
    ! [U_4812,U_4811,U_4810,U_4809,U_4808,U_4807] :
      ( hBOOL(hAPP_P659547099r_bool(hAPP_l2140727500r_bool(U_4812,U_4811),U_4810))
      | ? [U_4805,U_4804,U_4803] :
          ( ~ hBOOL(hAPP_P659547099r_bool(hAPP_l2140727500r_bool(U_4812,sK809(U_4812,U_4811,U_4810,U_4809,U_4808,U_4807)),U_4805))
          & hBOOL(hAPP_P659547099r_bool(hAPP_l2140727500r_bool(U_4812,U_4804),U_4803))
          & hBOOL(hAPP_f538118321l_bool(hAPP_P1390376713l_bool(member162552852t_char,hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_4804),U_4803)),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_4809),U_4808))),transi1123801095t_char(U_4807)))
          & hBOOL(hAPP_f538118321l_bool(hAPP_P1390376713l_bool(member162552852t_char,hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,sK809(U_4812,U_4811,U_4810,U_4809,U_4808,U_4807)),U_4805)),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_4804),U_4803))),U_4807)) )
      | ~ hBOOL(hAPP_P659547099r_bool(hAPP_l2140727500r_bool(U_4812,U_4809),U_4808))
      | ~ hBOOL(hAPP_f538118321l_bool(hAPP_P1390376713l_bool(member162552852t_char,hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_4811),U_4810)),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_4809),U_4808))),transi1123801095t_char(U_4807))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK809]),skolemize(U_4806,sK809(U_4812,U_4811,U_4810,U_4809,U_4808,U_4807))],[f_904_2]) ).

fof(f_904_4,plain,
    ! [U_4812,U_4811,U_4810,U_4809,U_4808,U_4807] :
      ( hBOOL(hAPP_P659547099r_bool(hAPP_l2140727500r_bool(U_4812,U_4811),U_4810))
      | ? [U_4804,U_4803] :
          ( ~ hBOOL(hAPP_P659547099r_bool(hAPP_l2140727500r_bool(U_4812,sK809(U_4812,U_4811,U_4810,U_4809,U_4808,U_4807)),sK810(U_4812,U_4811,U_4810,U_4809,U_4808,U_4807)))
          & hBOOL(hAPP_P659547099r_bool(hAPP_l2140727500r_bool(U_4812,U_4804),U_4803))
          & hBOOL(hAPP_f538118321l_bool(hAPP_P1390376713l_bool(member162552852t_char,hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_4804),U_4803)),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_4809),U_4808))),transi1123801095t_char(U_4807)))
          & hBOOL(hAPP_f538118321l_bool(hAPP_P1390376713l_bool(member162552852t_char,hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,sK809(U_4812,U_4811,U_4810,U_4809,U_4808,U_4807)),sK810(U_4812,U_4811,U_4810,U_4809,U_4808,U_4807))),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_4804),U_4803))),U_4807)) )
      | ~ hBOOL(hAPP_P659547099r_bool(hAPP_l2140727500r_bool(U_4812,U_4809),U_4808))
      | ~ hBOOL(hAPP_f538118321l_bool(hAPP_P1390376713l_bool(member162552852t_char,hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_4811),U_4810)),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_4809),U_4808))),transi1123801095t_char(U_4807))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK810]),skolemize(U_4805,sK810(U_4812,U_4811,U_4810,U_4809,U_4808,U_4807))],[f_904_3]) ).

fof(f_904_5,plain,
    ! [U_4812,U_4811,U_4810,U_4809,U_4808,U_4807] :
      ( hBOOL(hAPP_P659547099r_bool(hAPP_l2140727500r_bool(U_4812,U_4811),U_4810))
      | ? [U_4803] :
          ( ~ hBOOL(hAPP_P659547099r_bool(hAPP_l2140727500r_bool(U_4812,sK809(U_4812,U_4811,U_4810,U_4809,U_4808,U_4807)),sK810(U_4812,U_4811,U_4810,U_4809,U_4808,U_4807)))
          & hBOOL(hAPP_P659547099r_bool(hAPP_l2140727500r_bool(U_4812,sK811(U_4812,U_4811,U_4810,U_4809,U_4808,U_4807)),U_4803))
          & hBOOL(hAPP_f538118321l_bool(hAPP_P1390376713l_bool(member162552852t_char,hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,sK811(U_4812,U_4811,U_4810,U_4809,U_4808,U_4807)),U_4803)),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_4809),U_4808))),transi1123801095t_char(U_4807)))
          & hBOOL(hAPP_f538118321l_bool(hAPP_P1390376713l_bool(member162552852t_char,hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,sK809(U_4812,U_4811,U_4810,U_4809,U_4808,U_4807)),sK810(U_4812,U_4811,U_4810,U_4809,U_4808,U_4807))),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,sK811(U_4812,U_4811,U_4810,U_4809,U_4808,U_4807)),U_4803))),U_4807)) )
      | ~ hBOOL(hAPP_P659547099r_bool(hAPP_l2140727500r_bool(U_4812,U_4809),U_4808))
      | ~ hBOOL(hAPP_f538118321l_bool(hAPP_P1390376713l_bool(member162552852t_char,hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_4811),U_4810)),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_4809),U_4808))),transi1123801095t_char(U_4807))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK811]),skolemize(U_4804,sK811(U_4812,U_4811,U_4810,U_4809,U_4808,U_4807))],[f_904_4]) ).

fof(f_904_6,plain,
    ! [U_4812,U_4811,U_4810,U_4809,U_4808,U_4807] :
      ( hBOOL(hAPP_P659547099r_bool(hAPP_l2140727500r_bool(U_4812,U_4811),U_4810))
      | ( ~ hBOOL(hAPP_P659547099r_bool(hAPP_l2140727500r_bool(U_4812,sK809(U_4812,U_4811,U_4810,U_4809,U_4808,U_4807)),sK810(U_4812,U_4811,U_4810,U_4809,U_4808,U_4807)))
        & hBOOL(hAPP_P659547099r_bool(hAPP_l2140727500r_bool(U_4812,sK811(U_4812,U_4811,U_4810,U_4809,U_4808,U_4807)),sK812(U_4812,U_4811,U_4810,U_4809,U_4808,U_4807)))
        & hBOOL(hAPP_f538118321l_bool(hAPP_P1390376713l_bool(member162552852t_char,hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,sK811(U_4812,U_4811,U_4810,U_4809,U_4808,U_4807)),sK812(U_4812,U_4811,U_4810,U_4809,U_4808,U_4807))),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_4809),U_4808))),transi1123801095t_char(U_4807)))
        & hBOOL(hAPP_f538118321l_bool(hAPP_P1390376713l_bool(member162552852t_char,hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,sK809(U_4812,U_4811,U_4810,U_4809,U_4808,U_4807)),sK810(U_4812,U_4811,U_4810,U_4809,U_4808,U_4807))),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,sK811(U_4812,U_4811,U_4810,U_4809,U_4808,U_4807)),sK812(U_4812,U_4811,U_4810,U_4809,U_4808,U_4807)))),U_4807)) )
      | ~ hBOOL(hAPP_P659547099r_bool(hAPP_l2140727500r_bool(U_4812,U_4809),U_4808))
      | ~ hBOOL(hAPP_f538118321l_bool(hAPP_P1390376713l_bool(member162552852t_char,hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_4811),U_4810)),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_4809),U_4808))),transi1123801095t_char(U_4807))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK812]),skolemize(U_4803,sK812(U_4812,U_4811,U_4810,U_4809,U_4808,U_4807))],[f_904_5]) ).

cnf(f_904_7,plain,
    ( hBOOL(hAPP_f538118321l_bool(hAPP_P1390376713l_bool(member162552852t_char,hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,sK809(U_4812,U_4811,U_4810,U_4809,U_4808,U_4807)),sK810(U_4812,U_4811,U_4810,U_4809,U_4808,U_4807))),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,sK811(U_4812,U_4811,U_4810,U_4809,U_4808,U_4807)),sK812(U_4812,U_4811,U_4810,U_4809,U_4808,U_4807)))),U_4807))
    | hBOOL(hAPP_P659547099r_bool(hAPP_l2140727500r_bool(U_4812,U_4811),U_4810))
    | ~ hBOOL(hAPP_P659547099r_bool(hAPP_l2140727500r_bool(U_4812,U_4809),U_4808))
    | ~ hBOOL(hAPP_f538118321l_bool(hAPP_P1390376713l_bool(member162552852t_char,hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_4811),U_4810)),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_4809),U_4808))),transi1123801095t_char(U_4807))) ),
    inference(clausify,[status(thm)],[f_904_6]) ).

cnf(f_904_8,plain,
    ( hBOOL(hAPP_f538118321l_bool(hAPP_P1390376713l_bool(member162552852t_char,hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,sK811(U_4812,U_4811,U_4810,U_4809,U_4808,U_4807)),sK812(U_4812,U_4811,U_4810,U_4809,U_4808,U_4807))),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_4809),U_4808))),transi1123801095t_char(U_4807)))
    | hBOOL(hAPP_P659547099r_bool(hAPP_l2140727500r_bool(U_4812,U_4811),U_4810))
    | ~ hBOOL(hAPP_P659547099r_bool(hAPP_l2140727500r_bool(U_4812,U_4809),U_4808))
    | ~ hBOOL(hAPP_f538118321l_bool(hAPP_P1390376713l_bool(member162552852t_char,hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_4811),U_4810)),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_4809),U_4808))),transi1123801095t_char(U_4807))) ),
    inference(clausify,[status(thm)],[f_904_6]) ).

cnf(f_904_9,plain,
    ( hBOOL(hAPP_P659547099r_bool(hAPP_l2140727500r_bool(U_4812,sK811(U_4812,U_4811,U_4810,U_4809,U_4808,U_4807)),sK812(U_4812,U_4811,U_4810,U_4809,U_4808,U_4807)))
    | hBOOL(hAPP_P659547099r_bool(hAPP_l2140727500r_bool(U_4812,U_4811),U_4810))
    | ~ hBOOL(hAPP_P659547099r_bool(hAPP_l2140727500r_bool(U_4812,U_4809),U_4808))
    | ~ hBOOL(hAPP_f538118321l_bool(hAPP_P1390376713l_bool(member162552852t_char,hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_4811),U_4810)),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_4809),U_4808))),transi1123801095t_char(U_4807))) ),
    inference(clausify,[status(thm)],[f_904_6]) ).

cnf(f_904_10,plain,
    ( ~ hBOOL(hAPP_P659547099r_bool(hAPP_l2140727500r_bool(U_4812,sK809(U_4812,U_4811,U_4810,U_4809,U_4808,U_4807)),sK810(U_4812,U_4811,U_4810,U_4809,U_4808,U_4807)))
    | hBOOL(hAPP_P659547099r_bool(hAPP_l2140727500r_bool(U_4812,U_4811),U_4810))
    | ~ hBOOL(hAPP_P659547099r_bool(hAPP_l2140727500r_bool(U_4812,U_4809),U_4808))
    | ~ hBOOL(hAPP_f538118321l_bool(hAPP_P1390376713l_bool(member162552852t_char,hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_4811),U_4810)),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_4809),U_4808))),transi1123801095t_char(U_4807))) ),
    inference(clausify,[status(thm)],[f_904_6]) ).

fof(f_905_1,plain,
    ! [Pa,Ax,Ay,Bx,By,R_1] :
      ( hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(Pa,Ax),Ay))
      | ? [A_1,B_2,Aa,Ba] :
          ( ~ hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(Pa,A_1),B_2))
          & hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(Pa,Aa),Ba))
          & hBOOL(hAPP_f1145574243l_bool(hAPP_P2139822957l_bool(member1161907014t_char,hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,Aa),Ba)),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,Bx),By))),transi1789604888t_char(R_1)))
          & hBOOL(hAPP_f1145574243l_bool(hAPP_P2139822957l_bool(member1161907014t_char,hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,A_1),B_2)),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,Aa),Ba))),R_1)) )
      | ~ hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(Pa,Bx),By))
      | ~ hBOOL(hAPP_f1145574243l_bool(hAPP_P2139822957l_bool(member1161907014t_char,hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,Ax),Ay)),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,Bx),By))),transi1789604888t_char(R_1))) ),
    inference(fof_nnf,[status(thm)],[fact_763_converse__rtrancl__induct2]) ).

fof(f_905_2,plain,
    ! [U_4822,U_4821,U_4820,U_4819,U_4818,U_4817] :
      ( hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(U_4822,U_4821),U_4820))
      | ? [U_4816,U_4815,U_4814,U_4813] :
          ( ~ hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(U_4822,U_4816),U_4815))
          & hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(U_4822,U_4814),U_4813))
          & hBOOL(hAPP_f1145574243l_bool(hAPP_P2139822957l_bool(member1161907014t_char,hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_4814),U_4813)),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_4819),U_4818))),transi1789604888t_char(U_4817)))
          & hBOOL(hAPP_f1145574243l_bool(hAPP_P2139822957l_bool(member1161907014t_char,hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_4816),U_4815)),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_4814),U_4813))),U_4817)) )
      | ~ hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(U_4822,U_4819),U_4818))
      | ~ hBOOL(hAPP_f1145574243l_bool(hAPP_P2139822957l_bool(member1161907014t_char,hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_4821),U_4820)),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_4819),U_4818))),transi1789604888t_char(U_4817))) ),
    inference(variable_rename,[status(thm)],[f_905_1]) ).

fof(f_905_3,plain,
    ! [U_4822,U_4821,U_4820,U_4819,U_4818,U_4817] :
      ( hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(U_4822,U_4821),U_4820))
      | ? [U_4815,U_4814,U_4813] :
          ( ~ hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(U_4822,sK813(U_4822,U_4821,U_4820,U_4819,U_4818,U_4817)),U_4815))
          & hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(U_4822,U_4814),U_4813))
          & hBOOL(hAPP_f1145574243l_bool(hAPP_P2139822957l_bool(member1161907014t_char,hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_4814),U_4813)),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_4819),U_4818))),transi1789604888t_char(U_4817)))
          & hBOOL(hAPP_f1145574243l_bool(hAPP_P2139822957l_bool(member1161907014t_char,hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,sK813(U_4822,U_4821,U_4820,U_4819,U_4818,U_4817)),U_4815)),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_4814),U_4813))),U_4817)) )
      | ~ hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(U_4822,U_4819),U_4818))
      | ~ hBOOL(hAPP_f1145574243l_bool(hAPP_P2139822957l_bool(member1161907014t_char,hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_4821),U_4820)),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_4819),U_4818))),transi1789604888t_char(U_4817))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK813]),skolemize(U_4816,sK813(U_4822,U_4821,U_4820,U_4819,U_4818,U_4817))],[f_905_2]) ).

fof(f_905_4,plain,
    ! [U_4822,U_4821,U_4820,U_4819,U_4818,U_4817] :
      ( hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(U_4822,U_4821),U_4820))
      | ? [U_4814,U_4813] :
          ( ~ hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(U_4822,sK813(U_4822,U_4821,U_4820,U_4819,U_4818,U_4817)),sK814(U_4822,U_4821,U_4820,U_4819,U_4818,U_4817)))
          & hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(U_4822,U_4814),U_4813))
          & hBOOL(hAPP_f1145574243l_bool(hAPP_P2139822957l_bool(member1161907014t_char,hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_4814),U_4813)),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_4819),U_4818))),transi1789604888t_char(U_4817)))
          & hBOOL(hAPP_f1145574243l_bool(hAPP_P2139822957l_bool(member1161907014t_char,hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,sK813(U_4822,U_4821,U_4820,U_4819,U_4818,U_4817)),sK814(U_4822,U_4821,U_4820,U_4819,U_4818,U_4817))),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_4814),U_4813))),U_4817)) )
      | ~ hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(U_4822,U_4819),U_4818))
      | ~ hBOOL(hAPP_f1145574243l_bool(hAPP_P2139822957l_bool(member1161907014t_char,hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_4821),U_4820)),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_4819),U_4818))),transi1789604888t_char(U_4817))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK814]),skolemize(U_4815,sK814(U_4822,U_4821,U_4820,U_4819,U_4818,U_4817))],[f_905_3]) ).

fof(f_905_5,plain,
    ! [U_4822,U_4821,U_4820,U_4819,U_4818,U_4817] :
      ( hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(U_4822,U_4821),U_4820))
      | ? [U_4813] :
          ( ~ hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(U_4822,sK813(U_4822,U_4821,U_4820,U_4819,U_4818,U_4817)),sK814(U_4822,U_4821,U_4820,U_4819,U_4818,U_4817)))
          & hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(U_4822,sK815(U_4822,U_4821,U_4820,U_4819,U_4818,U_4817)),U_4813))
          & hBOOL(hAPP_f1145574243l_bool(hAPP_P2139822957l_bool(member1161907014t_char,hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,sK815(U_4822,U_4821,U_4820,U_4819,U_4818,U_4817)),U_4813)),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_4819),U_4818))),transi1789604888t_char(U_4817)))
          & hBOOL(hAPP_f1145574243l_bool(hAPP_P2139822957l_bool(member1161907014t_char,hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,sK813(U_4822,U_4821,U_4820,U_4819,U_4818,U_4817)),sK814(U_4822,U_4821,U_4820,U_4819,U_4818,U_4817))),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,sK815(U_4822,U_4821,U_4820,U_4819,U_4818,U_4817)),U_4813))),U_4817)) )
      | ~ hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(U_4822,U_4819),U_4818))
      | ~ hBOOL(hAPP_f1145574243l_bool(hAPP_P2139822957l_bool(member1161907014t_char,hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_4821),U_4820)),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_4819),U_4818))),transi1789604888t_char(U_4817))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK815]),skolemize(U_4814,sK815(U_4822,U_4821,U_4820,U_4819,U_4818,U_4817))],[f_905_4]) ).

fof(f_905_6,plain,
    ! [U_4822,U_4821,U_4820,U_4819,U_4818,U_4817] :
      ( hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(U_4822,U_4821),U_4820))
      | ( ~ hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(U_4822,sK813(U_4822,U_4821,U_4820,U_4819,U_4818,U_4817)),sK814(U_4822,U_4821,U_4820,U_4819,U_4818,U_4817)))
        & hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(U_4822,sK815(U_4822,U_4821,U_4820,U_4819,U_4818,U_4817)),sK816(U_4822,U_4821,U_4820,U_4819,U_4818,U_4817)))
        & hBOOL(hAPP_f1145574243l_bool(hAPP_P2139822957l_bool(member1161907014t_char,hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,sK815(U_4822,U_4821,U_4820,U_4819,U_4818,U_4817)),sK816(U_4822,U_4821,U_4820,U_4819,U_4818,U_4817))),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_4819),U_4818))),transi1789604888t_char(U_4817)))
        & hBOOL(hAPP_f1145574243l_bool(hAPP_P2139822957l_bool(member1161907014t_char,hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,sK813(U_4822,U_4821,U_4820,U_4819,U_4818,U_4817)),sK814(U_4822,U_4821,U_4820,U_4819,U_4818,U_4817))),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,sK815(U_4822,U_4821,U_4820,U_4819,U_4818,U_4817)),sK816(U_4822,U_4821,U_4820,U_4819,U_4818,U_4817)))),U_4817)) )
      | ~ hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(U_4822,U_4819),U_4818))
      | ~ hBOOL(hAPP_f1145574243l_bool(hAPP_P2139822957l_bool(member1161907014t_char,hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_4821),U_4820)),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_4819),U_4818))),transi1789604888t_char(U_4817))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK816]),skolemize(U_4813,sK816(U_4822,U_4821,U_4820,U_4819,U_4818,U_4817))],[f_905_5]) ).

cnf(f_905_7,plain,
    ( hBOOL(hAPP_f1145574243l_bool(hAPP_P2139822957l_bool(member1161907014t_char,hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,sK813(U_4822,U_4821,U_4820,U_4819,U_4818,U_4817)),sK814(U_4822,U_4821,U_4820,U_4819,U_4818,U_4817))),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,sK815(U_4822,U_4821,U_4820,U_4819,U_4818,U_4817)),sK816(U_4822,U_4821,U_4820,U_4819,U_4818,U_4817)))),U_4817))
    | hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(U_4822,U_4821),U_4820))
    | ~ hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(U_4822,U_4819),U_4818))
    | ~ hBOOL(hAPP_f1145574243l_bool(hAPP_P2139822957l_bool(member1161907014t_char,hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_4821),U_4820)),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_4819),U_4818))),transi1789604888t_char(U_4817))) ),
    inference(clausify,[status(thm)],[f_905_6]) ).

cnf(f_905_8,plain,
    ( hBOOL(hAPP_f1145574243l_bool(hAPP_P2139822957l_bool(member1161907014t_char,hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,sK815(U_4822,U_4821,U_4820,U_4819,U_4818,U_4817)),sK816(U_4822,U_4821,U_4820,U_4819,U_4818,U_4817))),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_4819),U_4818))),transi1789604888t_char(U_4817)))
    | hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(U_4822,U_4821),U_4820))
    | ~ hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(U_4822,U_4819),U_4818))
    | ~ hBOOL(hAPP_f1145574243l_bool(hAPP_P2139822957l_bool(member1161907014t_char,hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_4821),U_4820)),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_4819),U_4818))),transi1789604888t_char(U_4817))) ),
    inference(clausify,[status(thm)],[f_905_6]) ).

cnf(f_905_9,plain,
    ( hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(U_4822,sK815(U_4822,U_4821,U_4820,U_4819,U_4818,U_4817)),sK816(U_4822,U_4821,U_4820,U_4819,U_4818,U_4817)))
    | hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(U_4822,U_4821),U_4820))
    | ~ hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(U_4822,U_4819),U_4818))
    | ~ hBOOL(hAPP_f1145574243l_bool(hAPP_P2139822957l_bool(member1161907014t_char,hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_4821),U_4820)),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_4819),U_4818))),transi1789604888t_char(U_4817))) ),
    inference(clausify,[status(thm)],[f_905_6]) ).

cnf(f_905_10,plain,
    ( ~ hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(U_4822,sK813(U_4822,U_4821,U_4820,U_4819,U_4818,U_4817)),sK814(U_4822,U_4821,U_4820,U_4819,U_4818,U_4817)))
    | hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(U_4822,U_4821),U_4820))
    | ~ hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(U_4822,U_4819),U_4818))
    | ~ hBOOL(hAPP_f1145574243l_bool(hAPP_P2139822957l_bool(member1161907014t_char,hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_4821),U_4820)),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_4819),U_4818))),transi1789604888t_char(U_4817))) ),
    inference(clausify,[status(thm)],[f_905_6]) ).

fof(f_906_1,plain,
    ! [Pa,Ax,Ay,Bx,By,R_1] :
      ( hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(Pa,Ax),Ay))
      | ? [A_1,B_2,Aa,Ba] :
          ( ~ hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(Pa,A_1),B_2))
          & hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(Pa,Aa),Ba))
          & hBOOL(hAPP_f258424141l_bool(hAPP_P409642305l_bool(member125098544t_char,hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,Aa),Ba)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,Bx),By))),transi1257872013t_char(R_1)))
          & hBOOL(hAPP_f258424141l_bool(hAPP_P409642305l_bool(member125098544t_char,hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,A_1),B_2)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,Aa),Ba))),R_1)) )
      | ~ hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(Pa,Bx),By))
      | ~ hBOOL(hAPP_f258424141l_bool(hAPP_P409642305l_bool(member125098544t_char,hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,Ax),Ay)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,Bx),By))),transi1257872013t_char(R_1))) ),
    inference(fof_nnf,[status(thm)],[fact_764_converse__rtrancl__induct2]) ).

fof(f_906_2,plain,
    ! [U_4832,U_4831,U_4830,U_4829,U_4828,U_4827] :
      ( hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(U_4832,U_4831),U_4830))
      | ? [U_4826,U_4825,U_4824,U_4823] :
          ( ~ hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(U_4832,U_4826),U_4825))
          & hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(U_4832,U_4824),U_4823))
          & hBOOL(hAPP_f258424141l_bool(hAPP_P409642305l_bool(member125098544t_char,hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_4824),U_4823)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_4829),U_4828))),transi1257872013t_char(U_4827)))
          & hBOOL(hAPP_f258424141l_bool(hAPP_P409642305l_bool(member125098544t_char,hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_4826),U_4825)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_4824),U_4823))),U_4827)) )
      | ~ hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(U_4832,U_4829),U_4828))
      | ~ hBOOL(hAPP_f258424141l_bool(hAPP_P409642305l_bool(member125098544t_char,hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_4831),U_4830)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_4829),U_4828))),transi1257872013t_char(U_4827))) ),
    inference(variable_rename,[status(thm)],[f_906_1]) ).

fof(f_906_3,plain,
    ! [U_4832,U_4831,U_4830,U_4829,U_4828,U_4827] :
      ( hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(U_4832,U_4831),U_4830))
      | ? [U_4825,U_4824,U_4823] :
          ( ~ hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(U_4832,sK817(U_4832,U_4831,U_4830,U_4829,U_4828,U_4827)),U_4825))
          & hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(U_4832,U_4824),U_4823))
          & hBOOL(hAPP_f258424141l_bool(hAPP_P409642305l_bool(member125098544t_char,hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_4824),U_4823)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_4829),U_4828))),transi1257872013t_char(U_4827)))
          & hBOOL(hAPP_f258424141l_bool(hAPP_P409642305l_bool(member125098544t_char,hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,sK817(U_4832,U_4831,U_4830,U_4829,U_4828,U_4827)),U_4825)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_4824),U_4823))),U_4827)) )
      | ~ hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(U_4832,U_4829),U_4828))
      | ~ hBOOL(hAPP_f258424141l_bool(hAPP_P409642305l_bool(member125098544t_char,hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_4831),U_4830)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_4829),U_4828))),transi1257872013t_char(U_4827))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK817]),skolemize(U_4826,sK817(U_4832,U_4831,U_4830,U_4829,U_4828,U_4827))],[f_906_2]) ).

fof(f_906_4,plain,
    ! [U_4832,U_4831,U_4830,U_4829,U_4828,U_4827] :
      ( hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(U_4832,U_4831),U_4830))
      | ? [U_4824,U_4823] :
          ( ~ hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(U_4832,sK817(U_4832,U_4831,U_4830,U_4829,U_4828,U_4827)),sK818(U_4832,U_4831,U_4830,U_4829,U_4828,U_4827)))
          & hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(U_4832,U_4824),U_4823))
          & hBOOL(hAPP_f258424141l_bool(hAPP_P409642305l_bool(member125098544t_char,hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_4824),U_4823)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_4829),U_4828))),transi1257872013t_char(U_4827)))
          & hBOOL(hAPP_f258424141l_bool(hAPP_P409642305l_bool(member125098544t_char,hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,sK817(U_4832,U_4831,U_4830,U_4829,U_4828,U_4827)),sK818(U_4832,U_4831,U_4830,U_4829,U_4828,U_4827))),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_4824),U_4823))),U_4827)) )
      | ~ hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(U_4832,U_4829),U_4828))
      | ~ hBOOL(hAPP_f258424141l_bool(hAPP_P409642305l_bool(member125098544t_char,hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_4831),U_4830)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_4829),U_4828))),transi1257872013t_char(U_4827))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK818]),skolemize(U_4825,sK818(U_4832,U_4831,U_4830,U_4829,U_4828,U_4827))],[f_906_3]) ).

fof(f_906_5,plain,
    ! [U_4832,U_4831,U_4830,U_4829,U_4828,U_4827] :
      ( hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(U_4832,U_4831),U_4830))
      | ? [U_4823] :
          ( ~ hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(U_4832,sK817(U_4832,U_4831,U_4830,U_4829,U_4828,U_4827)),sK818(U_4832,U_4831,U_4830,U_4829,U_4828,U_4827)))
          & hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(U_4832,sK819(U_4832,U_4831,U_4830,U_4829,U_4828,U_4827)),U_4823))
          & hBOOL(hAPP_f258424141l_bool(hAPP_P409642305l_bool(member125098544t_char,hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,sK819(U_4832,U_4831,U_4830,U_4829,U_4828,U_4827)),U_4823)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_4829),U_4828))),transi1257872013t_char(U_4827)))
          & hBOOL(hAPP_f258424141l_bool(hAPP_P409642305l_bool(member125098544t_char,hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,sK817(U_4832,U_4831,U_4830,U_4829,U_4828,U_4827)),sK818(U_4832,U_4831,U_4830,U_4829,U_4828,U_4827))),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,sK819(U_4832,U_4831,U_4830,U_4829,U_4828,U_4827)),U_4823))),U_4827)) )
      | ~ hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(U_4832,U_4829),U_4828))
      | ~ hBOOL(hAPP_f258424141l_bool(hAPP_P409642305l_bool(member125098544t_char,hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_4831),U_4830)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_4829),U_4828))),transi1257872013t_char(U_4827))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK819]),skolemize(U_4824,sK819(U_4832,U_4831,U_4830,U_4829,U_4828,U_4827))],[f_906_4]) ).

fof(f_906_6,plain,
    ! [U_4832,U_4831,U_4830,U_4829,U_4828,U_4827] :
      ( hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(U_4832,U_4831),U_4830))
      | ( ~ hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(U_4832,sK817(U_4832,U_4831,U_4830,U_4829,U_4828,U_4827)),sK818(U_4832,U_4831,U_4830,U_4829,U_4828,U_4827)))
        & hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(U_4832,sK819(U_4832,U_4831,U_4830,U_4829,U_4828,U_4827)),sK820(U_4832,U_4831,U_4830,U_4829,U_4828,U_4827)))
        & hBOOL(hAPP_f258424141l_bool(hAPP_P409642305l_bool(member125098544t_char,hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,sK819(U_4832,U_4831,U_4830,U_4829,U_4828,U_4827)),sK820(U_4832,U_4831,U_4830,U_4829,U_4828,U_4827))),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_4829),U_4828))),transi1257872013t_char(U_4827)))
        & hBOOL(hAPP_f258424141l_bool(hAPP_P409642305l_bool(member125098544t_char,hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,sK817(U_4832,U_4831,U_4830,U_4829,U_4828,U_4827)),sK818(U_4832,U_4831,U_4830,U_4829,U_4828,U_4827))),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,sK819(U_4832,U_4831,U_4830,U_4829,U_4828,U_4827)),sK820(U_4832,U_4831,U_4830,U_4829,U_4828,U_4827)))),U_4827)) )
      | ~ hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(U_4832,U_4829),U_4828))
      | ~ hBOOL(hAPP_f258424141l_bool(hAPP_P409642305l_bool(member125098544t_char,hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_4831),U_4830)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_4829),U_4828))),transi1257872013t_char(U_4827))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK820]),skolemize(U_4823,sK820(U_4832,U_4831,U_4830,U_4829,U_4828,U_4827))],[f_906_5]) ).

cnf(f_906_7,plain,
    ( hBOOL(hAPP_f258424141l_bool(hAPP_P409642305l_bool(member125098544t_char,hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,sK817(U_4832,U_4831,U_4830,U_4829,U_4828,U_4827)),sK818(U_4832,U_4831,U_4830,U_4829,U_4828,U_4827))),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,sK819(U_4832,U_4831,U_4830,U_4829,U_4828,U_4827)),sK820(U_4832,U_4831,U_4830,U_4829,U_4828,U_4827)))),U_4827))
    | hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(U_4832,U_4831),U_4830))
    | ~ hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(U_4832,U_4829),U_4828))
    | ~ hBOOL(hAPP_f258424141l_bool(hAPP_P409642305l_bool(member125098544t_char,hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_4831),U_4830)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_4829),U_4828))),transi1257872013t_char(U_4827))) ),
    inference(clausify,[status(thm)],[f_906_6]) ).

cnf(f_906_8,plain,
    ( hBOOL(hAPP_f258424141l_bool(hAPP_P409642305l_bool(member125098544t_char,hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,sK819(U_4832,U_4831,U_4830,U_4829,U_4828,U_4827)),sK820(U_4832,U_4831,U_4830,U_4829,U_4828,U_4827))),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_4829),U_4828))),transi1257872013t_char(U_4827)))
    | hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(U_4832,U_4831),U_4830))
    | ~ hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(U_4832,U_4829),U_4828))
    | ~ hBOOL(hAPP_f258424141l_bool(hAPP_P409642305l_bool(member125098544t_char,hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_4831),U_4830)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_4829),U_4828))),transi1257872013t_char(U_4827))) ),
    inference(clausify,[status(thm)],[f_906_6]) ).

cnf(f_906_9,plain,
    ( hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(U_4832,sK819(U_4832,U_4831,U_4830,U_4829,U_4828,U_4827)),sK820(U_4832,U_4831,U_4830,U_4829,U_4828,U_4827)))
    | hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(U_4832,U_4831),U_4830))
    | ~ hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(U_4832,U_4829),U_4828))
    | ~ hBOOL(hAPP_f258424141l_bool(hAPP_P409642305l_bool(member125098544t_char,hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_4831),U_4830)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_4829),U_4828))),transi1257872013t_char(U_4827))) ),
    inference(clausify,[status(thm)],[f_906_6]) ).

cnf(f_906_10,plain,
    ( ~ hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(U_4832,sK817(U_4832,U_4831,U_4830,U_4829,U_4828,U_4827)),sK818(U_4832,U_4831,U_4830,U_4829,U_4828,U_4827)))
    | hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(U_4832,U_4831),U_4830))
    | ~ hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(U_4832,U_4829),U_4828))
    | ~ hBOOL(hAPP_f258424141l_bool(hAPP_P409642305l_bool(member125098544t_char,hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_4831),U_4830)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_4829),U_4828))),transi1257872013t_char(U_4827))) ),
    inference(clausify,[status(thm)],[f_906_6]) ).

fof(f_907_1,plain,
    ! [Pa,Ax,Ay,Bx,By,R_1] :
      ( hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(Pa,Ax),Ay))
      | ? [A_1,B_2,Aa,Ba] :
          ( ~ hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(Pa,A_1),B_2))
          & hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(Pa,Aa),Ba))
          & hBOOL(hAPP_f528956081l_bool(hAPP_P325013257l_bool(member1420286996t_char,hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,Aa),Ba)),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,Bx),By))),transi122195895t_char(R_1)))
          & hBOOL(hAPP_f528956081l_bool(hAPP_P325013257l_bool(member1420286996t_char,hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,A_1),B_2)),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,Aa),Ba))),R_1)) )
      | ~ hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(Pa,Bx),By))
      | ~ hBOOL(hAPP_f528956081l_bool(hAPP_P325013257l_bool(member1420286996t_char,hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,Ax),Ay)),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,Bx),By))),transi122195895t_char(R_1))) ),
    inference(fof_nnf,[status(thm)],[fact_765_converse__rtrancl__induct2]) ).

fof(f_907_2,plain,
    ! [U_4842,U_4841,U_4840,U_4839,U_4838,U_4837] :
      ( hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(U_4842,U_4841),U_4840))
      | ? [U_4836,U_4835,U_4834,U_4833] :
          ( ~ hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(U_4842,U_4836),U_4835))
          & hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(U_4842,U_4834),U_4833))
          & hBOOL(hAPP_f528956081l_bool(hAPP_P325013257l_bool(member1420286996t_char,hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_4834),U_4833)),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_4839),U_4838))),transi122195895t_char(U_4837)))
          & hBOOL(hAPP_f528956081l_bool(hAPP_P325013257l_bool(member1420286996t_char,hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_4836),U_4835)),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_4834),U_4833))),U_4837)) )
      | ~ hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(U_4842,U_4839),U_4838))
      | ~ hBOOL(hAPP_f528956081l_bool(hAPP_P325013257l_bool(member1420286996t_char,hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_4841),U_4840)),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_4839),U_4838))),transi122195895t_char(U_4837))) ),
    inference(variable_rename,[status(thm)],[f_907_1]) ).

fof(f_907_3,plain,
    ! [U_4842,U_4841,U_4840,U_4839,U_4838,U_4837] :
      ( hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(U_4842,U_4841),U_4840))
      | ? [U_4835,U_4834,U_4833] :
          ( ~ hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(U_4842,sK821(U_4842,U_4841,U_4840,U_4839,U_4838,U_4837)),U_4835))
          & hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(U_4842,U_4834),U_4833))
          & hBOOL(hAPP_f528956081l_bool(hAPP_P325013257l_bool(member1420286996t_char,hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_4834),U_4833)),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_4839),U_4838))),transi122195895t_char(U_4837)))
          & hBOOL(hAPP_f528956081l_bool(hAPP_P325013257l_bool(member1420286996t_char,hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,sK821(U_4842,U_4841,U_4840,U_4839,U_4838,U_4837)),U_4835)),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_4834),U_4833))),U_4837)) )
      | ~ hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(U_4842,U_4839),U_4838))
      | ~ hBOOL(hAPP_f528956081l_bool(hAPP_P325013257l_bool(member1420286996t_char,hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_4841),U_4840)),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_4839),U_4838))),transi122195895t_char(U_4837))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK821]),skolemize(U_4836,sK821(U_4842,U_4841,U_4840,U_4839,U_4838,U_4837))],[f_907_2]) ).

fof(f_907_4,plain,
    ! [U_4842,U_4841,U_4840,U_4839,U_4838,U_4837] :
      ( hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(U_4842,U_4841),U_4840))
      | ? [U_4834,U_4833] :
          ( ~ hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(U_4842,sK821(U_4842,U_4841,U_4840,U_4839,U_4838,U_4837)),sK822(U_4842,U_4841,U_4840,U_4839,U_4838,U_4837)))
          & hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(U_4842,U_4834),U_4833))
          & hBOOL(hAPP_f528956081l_bool(hAPP_P325013257l_bool(member1420286996t_char,hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_4834),U_4833)),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_4839),U_4838))),transi122195895t_char(U_4837)))
          & hBOOL(hAPP_f528956081l_bool(hAPP_P325013257l_bool(member1420286996t_char,hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,sK821(U_4842,U_4841,U_4840,U_4839,U_4838,U_4837)),sK822(U_4842,U_4841,U_4840,U_4839,U_4838,U_4837))),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_4834),U_4833))),U_4837)) )
      | ~ hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(U_4842,U_4839),U_4838))
      | ~ hBOOL(hAPP_f528956081l_bool(hAPP_P325013257l_bool(member1420286996t_char,hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_4841),U_4840)),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_4839),U_4838))),transi122195895t_char(U_4837))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK822]),skolemize(U_4835,sK822(U_4842,U_4841,U_4840,U_4839,U_4838,U_4837))],[f_907_3]) ).

fof(f_907_5,plain,
    ! [U_4842,U_4841,U_4840,U_4839,U_4838,U_4837] :
      ( hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(U_4842,U_4841),U_4840))
      | ? [U_4833] :
          ( ~ hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(U_4842,sK821(U_4842,U_4841,U_4840,U_4839,U_4838,U_4837)),sK822(U_4842,U_4841,U_4840,U_4839,U_4838,U_4837)))
          & hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(U_4842,sK823(U_4842,U_4841,U_4840,U_4839,U_4838,U_4837)),U_4833))
          & hBOOL(hAPP_f528956081l_bool(hAPP_P325013257l_bool(member1420286996t_char,hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,sK823(U_4842,U_4841,U_4840,U_4839,U_4838,U_4837)),U_4833)),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_4839),U_4838))),transi122195895t_char(U_4837)))
          & hBOOL(hAPP_f528956081l_bool(hAPP_P325013257l_bool(member1420286996t_char,hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,sK821(U_4842,U_4841,U_4840,U_4839,U_4838,U_4837)),sK822(U_4842,U_4841,U_4840,U_4839,U_4838,U_4837))),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,sK823(U_4842,U_4841,U_4840,U_4839,U_4838,U_4837)),U_4833))),U_4837)) )
      | ~ hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(U_4842,U_4839),U_4838))
      | ~ hBOOL(hAPP_f528956081l_bool(hAPP_P325013257l_bool(member1420286996t_char,hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_4841),U_4840)),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_4839),U_4838))),transi122195895t_char(U_4837))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK823]),skolemize(U_4834,sK823(U_4842,U_4841,U_4840,U_4839,U_4838,U_4837))],[f_907_4]) ).

fof(f_907_6,plain,
    ! [U_4842,U_4841,U_4840,U_4839,U_4838,U_4837] :
      ( hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(U_4842,U_4841),U_4840))
      | ( ~ hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(U_4842,sK821(U_4842,U_4841,U_4840,U_4839,U_4838,U_4837)),sK822(U_4842,U_4841,U_4840,U_4839,U_4838,U_4837)))
        & hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(U_4842,sK823(U_4842,U_4841,U_4840,U_4839,U_4838,U_4837)),sK824(U_4842,U_4841,U_4840,U_4839,U_4838,U_4837)))
        & hBOOL(hAPP_f528956081l_bool(hAPP_P325013257l_bool(member1420286996t_char,hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,sK823(U_4842,U_4841,U_4840,U_4839,U_4838,U_4837)),sK824(U_4842,U_4841,U_4840,U_4839,U_4838,U_4837))),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_4839),U_4838))),transi122195895t_char(U_4837)))
        & hBOOL(hAPP_f528956081l_bool(hAPP_P325013257l_bool(member1420286996t_char,hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,sK821(U_4842,U_4841,U_4840,U_4839,U_4838,U_4837)),sK822(U_4842,U_4841,U_4840,U_4839,U_4838,U_4837))),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,sK823(U_4842,U_4841,U_4840,U_4839,U_4838,U_4837)),sK824(U_4842,U_4841,U_4840,U_4839,U_4838,U_4837)))),U_4837)) )
      | ~ hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(U_4842,U_4839),U_4838))
      | ~ hBOOL(hAPP_f528956081l_bool(hAPP_P325013257l_bool(member1420286996t_char,hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_4841),U_4840)),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_4839),U_4838))),transi122195895t_char(U_4837))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK824]),skolemize(U_4833,sK824(U_4842,U_4841,U_4840,U_4839,U_4838,U_4837))],[f_907_5]) ).

cnf(f_907_7,plain,
    ( hBOOL(hAPP_f528956081l_bool(hAPP_P325013257l_bool(member1420286996t_char,hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,sK821(U_4842,U_4841,U_4840,U_4839,U_4838,U_4837)),sK822(U_4842,U_4841,U_4840,U_4839,U_4838,U_4837))),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,sK823(U_4842,U_4841,U_4840,U_4839,U_4838,U_4837)),sK824(U_4842,U_4841,U_4840,U_4839,U_4838,U_4837)))),U_4837))
    | hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(U_4842,U_4841),U_4840))
    | ~ hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(U_4842,U_4839),U_4838))
    | ~ hBOOL(hAPP_f528956081l_bool(hAPP_P325013257l_bool(member1420286996t_char,hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_4841),U_4840)),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_4839),U_4838))),transi122195895t_char(U_4837))) ),
    inference(clausify,[status(thm)],[f_907_6]) ).

cnf(f_907_8,plain,
    ( hBOOL(hAPP_f528956081l_bool(hAPP_P325013257l_bool(member1420286996t_char,hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,sK823(U_4842,U_4841,U_4840,U_4839,U_4838,U_4837)),sK824(U_4842,U_4841,U_4840,U_4839,U_4838,U_4837))),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_4839),U_4838))),transi122195895t_char(U_4837)))
    | hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(U_4842,U_4841),U_4840))
    | ~ hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(U_4842,U_4839),U_4838))
    | ~ hBOOL(hAPP_f528956081l_bool(hAPP_P325013257l_bool(member1420286996t_char,hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_4841),U_4840)),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_4839),U_4838))),transi122195895t_char(U_4837))) ),
    inference(clausify,[status(thm)],[f_907_6]) ).

cnf(f_907_9,plain,
    ( hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(U_4842,sK823(U_4842,U_4841,U_4840,U_4839,U_4838,U_4837)),sK824(U_4842,U_4841,U_4840,U_4839,U_4838,U_4837)))
    | hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(U_4842,U_4841),U_4840))
    | ~ hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(U_4842,U_4839),U_4838))
    | ~ hBOOL(hAPP_f528956081l_bool(hAPP_P325013257l_bool(member1420286996t_char,hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_4841),U_4840)),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_4839),U_4838))),transi122195895t_char(U_4837))) ),
    inference(clausify,[status(thm)],[f_907_6]) ).

cnf(f_907_10,plain,
    ( ~ hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(U_4842,sK821(U_4842,U_4841,U_4840,U_4839,U_4838,U_4837)),sK822(U_4842,U_4841,U_4840,U_4839,U_4838,U_4837)))
    | hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(U_4842,U_4841),U_4840))
    | ~ hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(U_4842,U_4839),U_4838))
    | ~ hBOOL(hAPP_f528956081l_bool(hAPP_P325013257l_bool(member1420286996t_char,hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_4841),U_4840)),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_4839),U_4838))),transi122195895t_char(U_4837))) ),
    inference(clausify,[status(thm)],[f_907_6]) ).

fof(f_908_1,plain,
    ! [Pa,Ax,Ay,Bx,By,R_1] :
      ( hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(Pa,Ax),Ay))
      | ? [A_1,B_2,Aa,Ba] :
          ( ~ hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(Pa,A_1),B_2))
          & hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(Pa,Aa),Ba))
          & hBOOL(hAPP_f1980787287l_bool(hAPP_P274544981l_bool(member88670778on_val,hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,Aa),Ba)),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,Bx),By))),transi208336786on_val(R_1)))
          & hBOOL(hAPP_f1980787287l_bool(hAPP_P274544981l_bool(member88670778on_val,hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A_1),B_2)),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,Aa),Ba))),R_1)) )
      | ~ hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(Pa,Bx),By))
      | ~ hBOOL(hAPP_f1980787287l_bool(hAPP_P274544981l_bool(member88670778on_val,hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,Ax),Ay)),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,Bx),By))),transi208336786on_val(R_1))) ),
    inference(fof_nnf,[status(thm)],[fact_766_converse__rtrancl__induct2]) ).

fof(f_908_2,plain,
    ! [U_4852,U_4851,U_4850,U_4849,U_4848,U_4847] :
      ( hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(U_4852,U_4851),U_4850))
      | ? [U_4846,U_4845,U_4844,U_4843] :
          ( ~ hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(U_4852,U_4846),U_4845))
          & hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(U_4852,U_4844),U_4843))
          & hBOOL(hAPP_f1980787287l_bool(hAPP_P274544981l_bool(member88670778on_val,hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_4844),U_4843)),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_4849),U_4848))),transi208336786on_val(U_4847)))
          & hBOOL(hAPP_f1980787287l_bool(hAPP_P274544981l_bool(member88670778on_val,hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_4846),U_4845)),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_4844),U_4843))),U_4847)) )
      | ~ hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(U_4852,U_4849),U_4848))
      | ~ hBOOL(hAPP_f1980787287l_bool(hAPP_P274544981l_bool(member88670778on_val,hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_4851),U_4850)),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_4849),U_4848))),transi208336786on_val(U_4847))) ),
    inference(variable_rename,[status(thm)],[f_908_1]) ).

fof(f_908_3,plain,
    ! [U_4852,U_4851,U_4850,U_4849,U_4848,U_4847] :
      ( hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(U_4852,U_4851),U_4850))
      | ? [U_4845,U_4844,U_4843] :
          ( ~ hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(U_4852,sK825(U_4852,U_4851,U_4850,U_4849,U_4848,U_4847)),U_4845))
          & hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(U_4852,U_4844),U_4843))
          & hBOOL(hAPP_f1980787287l_bool(hAPP_P274544981l_bool(member88670778on_val,hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_4844),U_4843)),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_4849),U_4848))),transi208336786on_val(U_4847)))
          & hBOOL(hAPP_f1980787287l_bool(hAPP_P274544981l_bool(member88670778on_val,hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,sK825(U_4852,U_4851,U_4850,U_4849,U_4848,U_4847)),U_4845)),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_4844),U_4843))),U_4847)) )
      | ~ hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(U_4852,U_4849),U_4848))
      | ~ hBOOL(hAPP_f1980787287l_bool(hAPP_P274544981l_bool(member88670778on_val,hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_4851),U_4850)),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_4849),U_4848))),transi208336786on_val(U_4847))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK825]),skolemize(U_4846,sK825(U_4852,U_4851,U_4850,U_4849,U_4848,U_4847))],[f_908_2]) ).

fof(f_908_4,plain,
    ! [U_4852,U_4851,U_4850,U_4849,U_4848,U_4847] :
      ( hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(U_4852,U_4851),U_4850))
      | ? [U_4844,U_4843] :
          ( ~ hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(U_4852,sK825(U_4852,U_4851,U_4850,U_4849,U_4848,U_4847)),sK826(U_4852,U_4851,U_4850,U_4849,U_4848,U_4847)))
          & hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(U_4852,U_4844),U_4843))
          & hBOOL(hAPP_f1980787287l_bool(hAPP_P274544981l_bool(member88670778on_val,hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_4844),U_4843)),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_4849),U_4848))),transi208336786on_val(U_4847)))
          & hBOOL(hAPP_f1980787287l_bool(hAPP_P274544981l_bool(member88670778on_val,hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,sK825(U_4852,U_4851,U_4850,U_4849,U_4848,U_4847)),sK826(U_4852,U_4851,U_4850,U_4849,U_4848,U_4847))),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_4844),U_4843))),U_4847)) )
      | ~ hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(U_4852,U_4849),U_4848))
      | ~ hBOOL(hAPP_f1980787287l_bool(hAPP_P274544981l_bool(member88670778on_val,hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_4851),U_4850)),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_4849),U_4848))),transi208336786on_val(U_4847))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK826]),skolemize(U_4845,sK826(U_4852,U_4851,U_4850,U_4849,U_4848,U_4847))],[f_908_3]) ).

fof(f_908_5,plain,
    ! [U_4852,U_4851,U_4850,U_4849,U_4848,U_4847] :
      ( hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(U_4852,U_4851),U_4850))
      | ? [U_4843] :
          ( ~ hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(U_4852,sK825(U_4852,U_4851,U_4850,U_4849,U_4848,U_4847)),sK826(U_4852,U_4851,U_4850,U_4849,U_4848,U_4847)))
          & hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(U_4852,sK827(U_4852,U_4851,U_4850,U_4849,U_4848,U_4847)),U_4843))
          & hBOOL(hAPP_f1980787287l_bool(hAPP_P274544981l_bool(member88670778on_val,hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,sK827(U_4852,U_4851,U_4850,U_4849,U_4848,U_4847)),U_4843)),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_4849),U_4848))),transi208336786on_val(U_4847)))
          & hBOOL(hAPP_f1980787287l_bool(hAPP_P274544981l_bool(member88670778on_val,hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,sK825(U_4852,U_4851,U_4850,U_4849,U_4848,U_4847)),sK826(U_4852,U_4851,U_4850,U_4849,U_4848,U_4847))),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,sK827(U_4852,U_4851,U_4850,U_4849,U_4848,U_4847)),U_4843))),U_4847)) )
      | ~ hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(U_4852,U_4849),U_4848))
      | ~ hBOOL(hAPP_f1980787287l_bool(hAPP_P274544981l_bool(member88670778on_val,hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_4851),U_4850)),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_4849),U_4848))),transi208336786on_val(U_4847))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK827]),skolemize(U_4844,sK827(U_4852,U_4851,U_4850,U_4849,U_4848,U_4847))],[f_908_4]) ).

fof(f_908_6,plain,
    ! [U_4852,U_4851,U_4850,U_4849,U_4848,U_4847] :
      ( hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(U_4852,U_4851),U_4850))
      | ( ~ hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(U_4852,sK825(U_4852,U_4851,U_4850,U_4849,U_4848,U_4847)),sK826(U_4852,U_4851,U_4850,U_4849,U_4848,U_4847)))
        & hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(U_4852,sK827(U_4852,U_4851,U_4850,U_4849,U_4848,U_4847)),sK828(U_4852,U_4851,U_4850,U_4849,U_4848,U_4847)))
        & hBOOL(hAPP_f1980787287l_bool(hAPP_P274544981l_bool(member88670778on_val,hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,sK827(U_4852,U_4851,U_4850,U_4849,U_4848,U_4847)),sK828(U_4852,U_4851,U_4850,U_4849,U_4848,U_4847))),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_4849),U_4848))),transi208336786on_val(U_4847)))
        & hBOOL(hAPP_f1980787287l_bool(hAPP_P274544981l_bool(member88670778on_val,hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,sK825(U_4852,U_4851,U_4850,U_4849,U_4848,U_4847)),sK826(U_4852,U_4851,U_4850,U_4849,U_4848,U_4847))),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,sK827(U_4852,U_4851,U_4850,U_4849,U_4848,U_4847)),sK828(U_4852,U_4851,U_4850,U_4849,U_4848,U_4847)))),U_4847)) )
      | ~ hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(U_4852,U_4849),U_4848))
      | ~ hBOOL(hAPP_f1980787287l_bool(hAPP_P274544981l_bool(member88670778on_val,hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_4851),U_4850)),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_4849),U_4848))),transi208336786on_val(U_4847))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK828]),skolemize(U_4843,sK828(U_4852,U_4851,U_4850,U_4849,U_4848,U_4847))],[f_908_5]) ).

cnf(f_908_7,plain,
    ( hBOOL(hAPP_f1980787287l_bool(hAPP_P274544981l_bool(member88670778on_val,hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,sK825(U_4852,U_4851,U_4850,U_4849,U_4848,U_4847)),sK826(U_4852,U_4851,U_4850,U_4849,U_4848,U_4847))),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,sK827(U_4852,U_4851,U_4850,U_4849,U_4848,U_4847)),sK828(U_4852,U_4851,U_4850,U_4849,U_4848,U_4847)))),U_4847))
    | hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(U_4852,U_4851),U_4850))
    | ~ hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(U_4852,U_4849),U_4848))
    | ~ hBOOL(hAPP_f1980787287l_bool(hAPP_P274544981l_bool(member88670778on_val,hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_4851),U_4850)),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_4849),U_4848))),transi208336786on_val(U_4847))) ),
    inference(clausify,[status(thm)],[f_908_6]) ).

cnf(f_908_8,plain,
    ( hBOOL(hAPP_f1980787287l_bool(hAPP_P274544981l_bool(member88670778on_val,hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,sK827(U_4852,U_4851,U_4850,U_4849,U_4848,U_4847)),sK828(U_4852,U_4851,U_4850,U_4849,U_4848,U_4847))),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_4849),U_4848))),transi208336786on_val(U_4847)))
    | hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(U_4852,U_4851),U_4850))
    | ~ hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(U_4852,U_4849),U_4848))
    | ~ hBOOL(hAPP_f1980787287l_bool(hAPP_P274544981l_bool(member88670778on_val,hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_4851),U_4850)),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_4849),U_4848))),transi208336786on_val(U_4847))) ),
    inference(clausify,[status(thm)],[f_908_6]) ).

cnf(f_908_9,plain,
    ( hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(U_4852,sK827(U_4852,U_4851,U_4850,U_4849,U_4848,U_4847)),sK828(U_4852,U_4851,U_4850,U_4849,U_4848,U_4847)))
    | hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(U_4852,U_4851),U_4850))
    | ~ hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(U_4852,U_4849),U_4848))
    | ~ hBOOL(hAPP_f1980787287l_bool(hAPP_P274544981l_bool(member88670778on_val,hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_4851),U_4850)),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_4849),U_4848))),transi208336786on_val(U_4847))) ),
    inference(clausify,[status(thm)],[f_908_6]) ).

cnf(f_908_10,plain,
    ( ~ hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(U_4852,sK825(U_4852,U_4851,U_4850,U_4849,U_4848,U_4847)),sK826(U_4852,U_4851,U_4850,U_4849,U_4848,U_4847)))
    | hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(U_4852,U_4851),U_4850))
    | ~ hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(U_4852,U_4849),U_4848))
    | ~ hBOOL(hAPP_f1980787287l_bool(hAPP_P274544981l_bool(member88670778on_val,hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_4851),U_4850)),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_4849),U_4848))),transi208336786on_val(U_4847))) ),
    inference(clausify,[status(thm)],[f_908_6]) ).

fof(f_909_1,plain,
    ! [Pa,Ax,Ay,Bx,By,R_1] :
      ( hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(Pa,Ax),Ay))
      | ? [A_1,B_2,Aa,Ba] :
          ( ~ hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(Pa,A_1),B_2))
          & hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(Pa,Aa),Ba))
          & hBOOL(hAPP_f2129782055l_bool(hAPP_P124661l_bool(member837208074al_val,hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,Aa),Ba)),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,Bx),By))),transi1423755450al_val(R_1)))
          & hBOOL(hAPP_f2129782055l_bool(hAPP_P124661l_bool(member837208074al_val,hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A_1),B_2)),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,Aa),Ba))),R_1)) )
      | ~ hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(Pa,Bx),By))
      | ~ hBOOL(hAPP_f2129782055l_bool(hAPP_P124661l_bool(member837208074al_val,hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,Ax),Ay)),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,Bx),By))),transi1423755450al_val(R_1))) ),
    inference(fof_nnf,[status(thm)],[fact_767_converse__rtrancl__induct2]) ).

fof(f_909_2,plain,
    ! [U_4862,U_4861,U_4860,U_4859,U_4858,U_4857] :
      ( hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(U_4862,U_4861),U_4860))
      | ? [U_4856,U_4855,U_4854,U_4853] :
          ( ~ hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(U_4862,U_4856),U_4855))
          & hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(U_4862,U_4854),U_4853))
          & hBOOL(hAPP_f2129782055l_bool(hAPP_P124661l_bool(member837208074al_val,hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_4854),U_4853)),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_4859),U_4858))),transi1423755450al_val(U_4857)))
          & hBOOL(hAPP_f2129782055l_bool(hAPP_P124661l_bool(member837208074al_val,hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_4856),U_4855)),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_4854),U_4853))),U_4857)) )
      | ~ hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(U_4862,U_4859),U_4858))
      | ~ hBOOL(hAPP_f2129782055l_bool(hAPP_P124661l_bool(member837208074al_val,hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_4861),U_4860)),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_4859),U_4858))),transi1423755450al_val(U_4857))) ),
    inference(variable_rename,[status(thm)],[f_909_1]) ).

fof(f_909_3,plain,
    ! [U_4862,U_4861,U_4860,U_4859,U_4858,U_4857] :
      ( hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(U_4862,U_4861),U_4860))
      | ? [U_4855,U_4854,U_4853] :
          ( ~ hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(U_4862,sK829(U_4862,U_4861,U_4860,U_4859,U_4858,U_4857)),U_4855))
          & hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(U_4862,U_4854),U_4853))
          & hBOOL(hAPP_f2129782055l_bool(hAPP_P124661l_bool(member837208074al_val,hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_4854),U_4853)),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_4859),U_4858))),transi1423755450al_val(U_4857)))
          & hBOOL(hAPP_f2129782055l_bool(hAPP_P124661l_bool(member837208074al_val,hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,sK829(U_4862,U_4861,U_4860,U_4859,U_4858,U_4857)),U_4855)),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_4854),U_4853))),U_4857)) )
      | ~ hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(U_4862,U_4859),U_4858))
      | ~ hBOOL(hAPP_f2129782055l_bool(hAPP_P124661l_bool(member837208074al_val,hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_4861),U_4860)),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_4859),U_4858))),transi1423755450al_val(U_4857))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK829]),skolemize(U_4856,sK829(U_4862,U_4861,U_4860,U_4859,U_4858,U_4857))],[f_909_2]) ).

fof(f_909_4,plain,
    ! [U_4862,U_4861,U_4860,U_4859,U_4858,U_4857] :
      ( hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(U_4862,U_4861),U_4860))
      | ? [U_4854,U_4853] :
          ( ~ hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(U_4862,sK829(U_4862,U_4861,U_4860,U_4859,U_4858,U_4857)),sK830(U_4862,U_4861,U_4860,U_4859,U_4858,U_4857)))
          & hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(U_4862,U_4854),U_4853))
          & hBOOL(hAPP_f2129782055l_bool(hAPP_P124661l_bool(member837208074al_val,hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_4854),U_4853)),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_4859),U_4858))),transi1423755450al_val(U_4857)))
          & hBOOL(hAPP_f2129782055l_bool(hAPP_P124661l_bool(member837208074al_val,hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,sK829(U_4862,U_4861,U_4860,U_4859,U_4858,U_4857)),sK830(U_4862,U_4861,U_4860,U_4859,U_4858,U_4857))),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_4854),U_4853))),U_4857)) )
      | ~ hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(U_4862,U_4859),U_4858))
      | ~ hBOOL(hAPP_f2129782055l_bool(hAPP_P124661l_bool(member837208074al_val,hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_4861),U_4860)),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_4859),U_4858))),transi1423755450al_val(U_4857))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK830]),skolemize(U_4855,sK830(U_4862,U_4861,U_4860,U_4859,U_4858,U_4857))],[f_909_3]) ).

fof(f_909_5,plain,
    ! [U_4862,U_4861,U_4860,U_4859,U_4858,U_4857] :
      ( hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(U_4862,U_4861),U_4860))
      | ? [U_4853] :
          ( ~ hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(U_4862,sK829(U_4862,U_4861,U_4860,U_4859,U_4858,U_4857)),sK830(U_4862,U_4861,U_4860,U_4859,U_4858,U_4857)))
          & hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(U_4862,sK831(U_4862,U_4861,U_4860,U_4859,U_4858,U_4857)),U_4853))
          & hBOOL(hAPP_f2129782055l_bool(hAPP_P124661l_bool(member837208074al_val,hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,sK831(U_4862,U_4861,U_4860,U_4859,U_4858,U_4857)),U_4853)),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_4859),U_4858))),transi1423755450al_val(U_4857)))
          & hBOOL(hAPP_f2129782055l_bool(hAPP_P124661l_bool(member837208074al_val,hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,sK829(U_4862,U_4861,U_4860,U_4859,U_4858,U_4857)),sK830(U_4862,U_4861,U_4860,U_4859,U_4858,U_4857))),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,sK831(U_4862,U_4861,U_4860,U_4859,U_4858,U_4857)),U_4853))),U_4857)) )
      | ~ hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(U_4862,U_4859),U_4858))
      | ~ hBOOL(hAPP_f2129782055l_bool(hAPP_P124661l_bool(member837208074al_val,hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_4861),U_4860)),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_4859),U_4858))),transi1423755450al_val(U_4857))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK831]),skolemize(U_4854,sK831(U_4862,U_4861,U_4860,U_4859,U_4858,U_4857))],[f_909_4]) ).

fof(f_909_6,plain,
    ! [U_4862,U_4861,U_4860,U_4859,U_4858,U_4857] :
      ( hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(U_4862,U_4861),U_4860))
      | ( ~ hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(U_4862,sK829(U_4862,U_4861,U_4860,U_4859,U_4858,U_4857)),sK830(U_4862,U_4861,U_4860,U_4859,U_4858,U_4857)))
        & hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(U_4862,sK831(U_4862,U_4861,U_4860,U_4859,U_4858,U_4857)),sK832(U_4862,U_4861,U_4860,U_4859,U_4858,U_4857)))
        & hBOOL(hAPP_f2129782055l_bool(hAPP_P124661l_bool(member837208074al_val,hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,sK831(U_4862,U_4861,U_4860,U_4859,U_4858,U_4857)),sK832(U_4862,U_4861,U_4860,U_4859,U_4858,U_4857))),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_4859),U_4858))),transi1423755450al_val(U_4857)))
        & hBOOL(hAPP_f2129782055l_bool(hAPP_P124661l_bool(member837208074al_val,hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,sK829(U_4862,U_4861,U_4860,U_4859,U_4858,U_4857)),sK830(U_4862,U_4861,U_4860,U_4859,U_4858,U_4857))),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,sK831(U_4862,U_4861,U_4860,U_4859,U_4858,U_4857)),sK832(U_4862,U_4861,U_4860,U_4859,U_4858,U_4857)))),U_4857)) )
      | ~ hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(U_4862,U_4859),U_4858))
      | ~ hBOOL(hAPP_f2129782055l_bool(hAPP_P124661l_bool(member837208074al_val,hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_4861),U_4860)),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_4859),U_4858))),transi1423755450al_val(U_4857))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK832]),skolemize(U_4853,sK832(U_4862,U_4861,U_4860,U_4859,U_4858,U_4857))],[f_909_5]) ).

cnf(f_909_7,plain,
    ( hBOOL(hAPP_f2129782055l_bool(hAPP_P124661l_bool(member837208074al_val,hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,sK829(U_4862,U_4861,U_4860,U_4859,U_4858,U_4857)),sK830(U_4862,U_4861,U_4860,U_4859,U_4858,U_4857))),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,sK831(U_4862,U_4861,U_4860,U_4859,U_4858,U_4857)),sK832(U_4862,U_4861,U_4860,U_4859,U_4858,U_4857)))),U_4857))
    | hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(U_4862,U_4861),U_4860))
    | ~ hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(U_4862,U_4859),U_4858))
    | ~ hBOOL(hAPP_f2129782055l_bool(hAPP_P124661l_bool(member837208074al_val,hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_4861),U_4860)),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_4859),U_4858))),transi1423755450al_val(U_4857))) ),
    inference(clausify,[status(thm)],[f_909_6]) ).

cnf(f_909_8,plain,
    ( hBOOL(hAPP_f2129782055l_bool(hAPP_P124661l_bool(member837208074al_val,hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,sK831(U_4862,U_4861,U_4860,U_4859,U_4858,U_4857)),sK832(U_4862,U_4861,U_4860,U_4859,U_4858,U_4857))),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_4859),U_4858))),transi1423755450al_val(U_4857)))
    | hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(U_4862,U_4861),U_4860))
    | ~ hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(U_4862,U_4859),U_4858))
    | ~ hBOOL(hAPP_f2129782055l_bool(hAPP_P124661l_bool(member837208074al_val,hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_4861),U_4860)),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_4859),U_4858))),transi1423755450al_val(U_4857))) ),
    inference(clausify,[status(thm)],[f_909_6]) ).

cnf(f_909_9,plain,
    ( hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(U_4862,sK831(U_4862,U_4861,U_4860,U_4859,U_4858,U_4857)),sK832(U_4862,U_4861,U_4860,U_4859,U_4858,U_4857)))
    | hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(U_4862,U_4861),U_4860))
    | ~ hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(U_4862,U_4859),U_4858))
    | ~ hBOOL(hAPP_f2129782055l_bool(hAPP_P124661l_bool(member837208074al_val,hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_4861),U_4860)),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_4859),U_4858))),transi1423755450al_val(U_4857))) ),
    inference(clausify,[status(thm)],[f_909_6]) ).

cnf(f_909_10,plain,
    ( ~ hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(U_4862,sK829(U_4862,U_4861,U_4860,U_4859,U_4858,U_4857)),sK830(U_4862,U_4861,U_4860,U_4859,U_4858,U_4857)))
    | hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(U_4862,U_4861),U_4860))
    | ~ hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(U_4862,U_4859),U_4858))
    | ~ hBOOL(hAPP_f2129782055l_bool(hAPP_P124661l_bool(member837208074al_val,hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_4861),U_4860)),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_4859),U_4858))),transi1423755450al_val(U_4857))) ),
    inference(clausify,[status(thm)],[f_909_6]) ).

fof(f_910_1,plain,
    ! [Pa,Ax,Ay,Bx,By,R_1] :
      ( hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(Pa,Ax),Ay))
      | ? [A_1,B_2,Aa,Ba] :
          ( ~ hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(Pa,A_1),B_2))
          & hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(Pa,Aa),Ba))
          & hBOOL(hAPP_f126136681l_bool(hAPP_P982127993l_bool(member1732271180al_val,hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,Aa),Ba)),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,Bx),By))),transi1906258203al_val(R_1)))
          & hBOOL(hAPP_f126136681l_bool(hAPP_P982127993l_bool(member1732271180al_val,hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,A_1),B_2)),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,Aa),Ba))),R_1))
          & is_bop(Aa)
          & is_bop(A_1) )
      | ~ hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(Pa,Bx),By))
      | ~ hBOOL(hAPP_f126136681l_bool(hAPP_P982127993l_bool(member1732271180al_val,hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,Ax),Ay)),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,Bx),By))),transi1906258203al_val(R_1))) ),
    inference(fof_nnf,[status(thm)],[fact_768_converse__rtrancl__induct2]) ).

fof(f_910_2,plain,
    ! [U_4872,U_4871,U_4870,U_4869,U_4868,U_4867] :
      ( hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(U_4872,U_4871),U_4870))
      | ? [U_4866,U_4865,U_4864,U_4863] :
          ( ~ hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(U_4872,U_4866),U_4865))
          & hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(U_4872,U_4864),U_4863))
          & hBOOL(hAPP_f126136681l_bool(hAPP_P982127993l_bool(member1732271180al_val,hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_4864),U_4863)),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_4869),U_4868))),transi1906258203al_val(U_4867)))
          & hBOOL(hAPP_f126136681l_bool(hAPP_P982127993l_bool(member1732271180al_val,hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_4866),U_4865)),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_4864),U_4863))),U_4867))
          & is_bop(U_4864)
          & is_bop(U_4866) )
      | ~ hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(U_4872,U_4869),U_4868))
      | ~ hBOOL(hAPP_f126136681l_bool(hAPP_P982127993l_bool(member1732271180al_val,hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_4871),U_4870)),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_4869),U_4868))),transi1906258203al_val(U_4867))) ),
    inference(variable_rename,[status(thm)],[f_910_1]) ).

fof(f_910_3,plain,
    ! [U_4872,U_4871,U_4870,U_4869,U_4868,U_4867] :
      ( hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(U_4872,U_4871),U_4870))
      | ? [U_4866,U_4865,U_4864] :
          ( ? [U_4863] :
              ( ~ hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(U_4872,U_4866),U_4865))
              & hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(U_4872,U_4864),U_4863))
              & hBOOL(hAPP_f126136681l_bool(hAPP_P982127993l_bool(member1732271180al_val,hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_4864),U_4863)),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_4869),U_4868))),transi1906258203al_val(U_4867)))
              & hBOOL(hAPP_f126136681l_bool(hAPP_P982127993l_bool(member1732271180al_val,hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_4866),U_4865)),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_4864),U_4863))),U_4867)) )
          & is_bop(U_4864)
          & is_bop(U_4866) )
      | ~ hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(U_4872,U_4869),U_4868))
      | ~ hBOOL(hAPP_f126136681l_bool(hAPP_P982127993l_bool(member1732271180al_val,hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_4871),U_4870)),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_4869),U_4868))),transi1906258203al_val(U_4867))) ),
    inference(miniscope,[status(thm)],[f_910_2]) ).

fof(f_910_4,plain,
    ! [U_4872,U_4871,U_4870,U_4869,U_4868,U_4867] :
      ( hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(U_4872,U_4871),U_4870))
      | ? [U_4865,U_4864] :
          ( ? [U_4863] :
              ( ~ hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(U_4872,sK833(U_4872,U_4871,U_4870,U_4869,U_4868,U_4867)),U_4865))
              & hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(U_4872,U_4864),U_4863))
              & hBOOL(hAPP_f126136681l_bool(hAPP_P982127993l_bool(member1732271180al_val,hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_4864),U_4863)),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_4869),U_4868))),transi1906258203al_val(U_4867)))
              & hBOOL(hAPP_f126136681l_bool(hAPP_P982127993l_bool(member1732271180al_val,hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,sK833(U_4872,U_4871,U_4870,U_4869,U_4868,U_4867)),U_4865)),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_4864),U_4863))),U_4867)) )
          & is_bop(U_4864)
          & is_bop(sK833(U_4872,U_4871,U_4870,U_4869,U_4868,U_4867)) )
      | ~ hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(U_4872,U_4869),U_4868))
      | ~ hBOOL(hAPP_f126136681l_bool(hAPP_P982127993l_bool(member1732271180al_val,hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_4871),U_4870)),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_4869),U_4868))),transi1906258203al_val(U_4867))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK833]),skolemize(U_4866,sK833(U_4872,U_4871,U_4870,U_4869,U_4868,U_4867))],[f_910_3]) ).

fof(f_910_5,plain,
    ! [U_4872,U_4871,U_4870,U_4869,U_4868,U_4867] :
      ( hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(U_4872,U_4871),U_4870))
      | ? [U_4864] :
          ( ? [U_4863] :
              ( ~ hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(U_4872,sK833(U_4872,U_4871,U_4870,U_4869,U_4868,U_4867)),sK834(U_4872,U_4871,U_4870,U_4869,U_4868,U_4867)))
              & hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(U_4872,U_4864),U_4863))
              & hBOOL(hAPP_f126136681l_bool(hAPP_P982127993l_bool(member1732271180al_val,hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_4864),U_4863)),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_4869),U_4868))),transi1906258203al_val(U_4867)))
              & hBOOL(hAPP_f126136681l_bool(hAPP_P982127993l_bool(member1732271180al_val,hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,sK833(U_4872,U_4871,U_4870,U_4869,U_4868,U_4867)),sK834(U_4872,U_4871,U_4870,U_4869,U_4868,U_4867))),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_4864),U_4863))),U_4867)) )
          & is_bop(U_4864)
          & is_bop(sK833(U_4872,U_4871,U_4870,U_4869,U_4868,U_4867)) )
      | ~ hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(U_4872,U_4869),U_4868))
      | ~ hBOOL(hAPP_f126136681l_bool(hAPP_P982127993l_bool(member1732271180al_val,hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_4871),U_4870)),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_4869),U_4868))),transi1906258203al_val(U_4867))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK834]),skolemize(U_4865,sK834(U_4872,U_4871,U_4870,U_4869,U_4868,U_4867))],[f_910_4]) ).

fof(f_910_6,plain,
    ! [U_4872,U_4871,U_4870,U_4869,U_4868,U_4867] :
      ( hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(U_4872,U_4871),U_4870))
      | ( ? [U_4863] :
            ( ~ hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(U_4872,sK833(U_4872,U_4871,U_4870,U_4869,U_4868,U_4867)),sK834(U_4872,U_4871,U_4870,U_4869,U_4868,U_4867)))
            & hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(U_4872,sK835(U_4872,U_4871,U_4870,U_4869,U_4868,U_4867)),U_4863))
            & hBOOL(hAPP_f126136681l_bool(hAPP_P982127993l_bool(member1732271180al_val,hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,sK835(U_4872,U_4871,U_4870,U_4869,U_4868,U_4867)),U_4863)),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_4869),U_4868))),transi1906258203al_val(U_4867)))
            & hBOOL(hAPP_f126136681l_bool(hAPP_P982127993l_bool(member1732271180al_val,hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,sK833(U_4872,U_4871,U_4870,U_4869,U_4868,U_4867)),sK834(U_4872,U_4871,U_4870,U_4869,U_4868,U_4867))),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,sK835(U_4872,U_4871,U_4870,U_4869,U_4868,U_4867)),U_4863))),U_4867)) )
        & is_bop(sK835(U_4872,U_4871,U_4870,U_4869,U_4868,U_4867))
        & is_bop(sK833(U_4872,U_4871,U_4870,U_4869,U_4868,U_4867)) )
      | ~ hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(U_4872,U_4869),U_4868))
      | ~ hBOOL(hAPP_f126136681l_bool(hAPP_P982127993l_bool(member1732271180al_val,hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_4871),U_4870)),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_4869),U_4868))),transi1906258203al_val(U_4867))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK835]),skolemize(U_4864,sK835(U_4872,U_4871,U_4870,U_4869,U_4868,U_4867))],[f_910_5]) ).

fof(f_910_7,plain,
    ! [U_4872,U_4871,U_4870,U_4869,U_4868,U_4867] :
      ( hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(U_4872,U_4871),U_4870))
      | ( ~ hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(U_4872,sK833(U_4872,U_4871,U_4870,U_4869,U_4868,U_4867)),sK834(U_4872,U_4871,U_4870,U_4869,U_4868,U_4867)))
        & hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(U_4872,sK835(U_4872,U_4871,U_4870,U_4869,U_4868,U_4867)),sK836(U_4872,U_4871,U_4870,U_4869,U_4868,U_4867)))
        & hBOOL(hAPP_f126136681l_bool(hAPP_P982127993l_bool(member1732271180al_val,hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,sK835(U_4872,U_4871,U_4870,U_4869,U_4868,U_4867)),sK836(U_4872,U_4871,U_4870,U_4869,U_4868,U_4867))),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_4869),U_4868))),transi1906258203al_val(U_4867)))
        & hBOOL(hAPP_f126136681l_bool(hAPP_P982127993l_bool(member1732271180al_val,hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,sK833(U_4872,U_4871,U_4870,U_4869,U_4868,U_4867)),sK834(U_4872,U_4871,U_4870,U_4869,U_4868,U_4867))),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,sK835(U_4872,U_4871,U_4870,U_4869,U_4868,U_4867)),sK836(U_4872,U_4871,U_4870,U_4869,U_4868,U_4867)))),U_4867))
        & is_bop(sK835(U_4872,U_4871,U_4870,U_4869,U_4868,U_4867))
        & is_bop(sK833(U_4872,U_4871,U_4870,U_4869,U_4868,U_4867)) )
      | ~ hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(U_4872,U_4869),U_4868))
      | ~ hBOOL(hAPP_f126136681l_bool(hAPP_P982127993l_bool(member1732271180al_val,hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_4871),U_4870)),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_4869),U_4868))),transi1906258203al_val(U_4867))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK836]),skolemize(U_4863,sK836(U_4872,U_4871,U_4870,U_4869,U_4868,U_4867))],[f_910_6]) ).

cnf(f_910_8,plain,
    ( is_bop(sK833(U_4872,U_4871,U_4870,U_4869,U_4868,U_4867))
    | hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(U_4872,U_4871),U_4870))
    | ~ hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(U_4872,U_4869),U_4868))
    | ~ hBOOL(hAPP_f126136681l_bool(hAPP_P982127993l_bool(member1732271180al_val,hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_4871),U_4870)),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_4869),U_4868))),transi1906258203al_val(U_4867))) ),
    inference(clausify,[status(thm)],[f_910_7]) ).

cnf(f_910_9,plain,
    ( is_bop(sK835(U_4872,U_4871,U_4870,U_4869,U_4868,U_4867))
    | hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(U_4872,U_4871),U_4870))
    | ~ hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(U_4872,U_4869),U_4868))
    | ~ hBOOL(hAPP_f126136681l_bool(hAPP_P982127993l_bool(member1732271180al_val,hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_4871),U_4870)),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_4869),U_4868))),transi1906258203al_val(U_4867))) ),
    inference(clausify,[status(thm)],[f_910_7]) ).

cnf(f_910_10,plain,
    ( hBOOL(hAPP_f126136681l_bool(hAPP_P982127993l_bool(member1732271180al_val,hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,sK833(U_4872,U_4871,U_4870,U_4869,U_4868,U_4867)),sK834(U_4872,U_4871,U_4870,U_4869,U_4868,U_4867))),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,sK835(U_4872,U_4871,U_4870,U_4869,U_4868,U_4867)),sK836(U_4872,U_4871,U_4870,U_4869,U_4868,U_4867)))),U_4867))
    | hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(U_4872,U_4871),U_4870))
    | ~ hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(U_4872,U_4869),U_4868))
    | ~ hBOOL(hAPP_f126136681l_bool(hAPP_P982127993l_bool(member1732271180al_val,hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_4871),U_4870)),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_4869),U_4868))),transi1906258203al_val(U_4867))) ),
    inference(clausify,[status(thm)],[f_910_7]) ).

cnf(f_910_11,plain,
    ( hBOOL(hAPP_f126136681l_bool(hAPP_P982127993l_bool(member1732271180al_val,hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,sK835(U_4872,U_4871,U_4870,U_4869,U_4868,U_4867)),sK836(U_4872,U_4871,U_4870,U_4869,U_4868,U_4867))),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_4869),U_4868))),transi1906258203al_val(U_4867)))
    | hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(U_4872,U_4871),U_4870))
    | ~ hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(U_4872,U_4869),U_4868))
    | ~ hBOOL(hAPP_f126136681l_bool(hAPP_P982127993l_bool(member1732271180al_val,hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_4871),U_4870)),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_4869),U_4868))),transi1906258203al_val(U_4867))) ),
    inference(clausify,[status(thm)],[f_910_7]) ).

cnf(f_910_12,plain,
    ( hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(U_4872,sK835(U_4872,U_4871,U_4870,U_4869,U_4868,U_4867)),sK836(U_4872,U_4871,U_4870,U_4869,U_4868,U_4867)))
    | hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(U_4872,U_4871),U_4870))
    | ~ hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(U_4872,U_4869),U_4868))
    | ~ hBOOL(hAPP_f126136681l_bool(hAPP_P982127993l_bool(member1732271180al_val,hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_4871),U_4870)),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_4869),U_4868))),transi1906258203al_val(U_4867))) ),
    inference(clausify,[status(thm)],[f_910_7]) ).

cnf(f_910_13,plain,
    ( ~ hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(U_4872,sK833(U_4872,U_4871,U_4870,U_4869,U_4868,U_4867)),sK834(U_4872,U_4871,U_4870,U_4869,U_4868,U_4867)))
    | hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(U_4872,U_4871),U_4870))
    | ~ hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(U_4872,U_4869),U_4868))
    | ~ hBOOL(hAPP_f126136681l_bool(hAPP_P982127993l_bool(member1732271180al_val,hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_4871),U_4870)),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_4869),U_4868))),transi1906258203al_val(U_4867))) ),
    inference(clausify,[status(thm)],[f_910_7]) ).

fof(f_911_1,plain,
    ! [Pa,Ax,Ay,Bx,By,R_1] :
      ( hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(Pa,Ax),Ay))
      | ? [A_1,B_2,Aa,Ba] :
          ( ~ hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(Pa,A_1),B_2))
          & hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(Pa,Aa),Ba))
          & hBOOL(hAPP_f851858423l_bool(hAPP_P786771093l_bool(member794220506t_char,hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,Aa),Ba)),hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,Bx),By))),transi1095029602t_char(R_1)))
          & hBOOL(hAPP_f851858423l_bool(hAPP_P786771093l_bool(member794220506t_char,hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A_1),B_2)),hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,Aa),Ba))),R_1)) )
      | ~ hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(Pa,Bx),By))
      | ~ hBOOL(hAPP_f851858423l_bool(hAPP_P786771093l_bool(member794220506t_char,hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,Ax),Ay)),hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,Bx),By))),transi1095029602t_char(R_1))) ),
    inference(fof_nnf,[status(thm)],[fact_769_converse__rtrancl__induct2]) ).

fof(f_911_2,plain,
    ! [U_4882,U_4881,U_4880,U_4879,U_4878,U_4877] :
      ( hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(U_4882,U_4881),U_4880))
      | ? [U_4876,U_4875,U_4874,U_4873] :
          ( ~ hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(U_4882,U_4876),U_4875))
          & hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(U_4882,U_4874),U_4873))
          & hBOOL(hAPP_f851858423l_bool(hAPP_P786771093l_bool(member794220506t_char,hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_4874),U_4873)),hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_4879),U_4878))),transi1095029602t_char(U_4877)))
          & hBOOL(hAPP_f851858423l_bool(hAPP_P786771093l_bool(member794220506t_char,hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_4876),U_4875)),hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_4874),U_4873))),U_4877)) )
      | ~ hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(U_4882,U_4879),U_4878))
      | ~ hBOOL(hAPP_f851858423l_bool(hAPP_P786771093l_bool(member794220506t_char,hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_4881),U_4880)),hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_4879),U_4878))),transi1095029602t_char(U_4877))) ),
    inference(variable_rename,[status(thm)],[f_911_1]) ).

fof(f_911_3,plain,
    ! [U_4882,U_4881,U_4880,U_4879,U_4878,U_4877] :
      ( hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(U_4882,U_4881),U_4880))
      | ? [U_4875,U_4874,U_4873] :
          ( ~ hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(U_4882,sK837(U_4882,U_4881,U_4880,U_4879,U_4878,U_4877)),U_4875))
          & hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(U_4882,U_4874),U_4873))
          & hBOOL(hAPP_f851858423l_bool(hAPP_P786771093l_bool(member794220506t_char,hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_4874),U_4873)),hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_4879),U_4878))),transi1095029602t_char(U_4877)))
          & hBOOL(hAPP_f851858423l_bool(hAPP_P786771093l_bool(member794220506t_char,hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,sK837(U_4882,U_4881,U_4880,U_4879,U_4878,U_4877)),U_4875)),hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_4874),U_4873))),U_4877)) )
      | ~ hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(U_4882,U_4879),U_4878))
      | ~ hBOOL(hAPP_f851858423l_bool(hAPP_P786771093l_bool(member794220506t_char,hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_4881),U_4880)),hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_4879),U_4878))),transi1095029602t_char(U_4877))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK837]),skolemize(U_4876,sK837(U_4882,U_4881,U_4880,U_4879,U_4878,U_4877))],[f_911_2]) ).

fof(f_911_4,plain,
    ! [U_4882,U_4881,U_4880,U_4879,U_4878,U_4877] :
      ( hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(U_4882,U_4881),U_4880))
      | ? [U_4874,U_4873] :
          ( ~ hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(U_4882,sK837(U_4882,U_4881,U_4880,U_4879,U_4878,U_4877)),sK838(U_4882,U_4881,U_4880,U_4879,U_4878,U_4877)))
          & hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(U_4882,U_4874),U_4873))
          & hBOOL(hAPP_f851858423l_bool(hAPP_P786771093l_bool(member794220506t_char,hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_4874),U_4873)),hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_4879),U_4878))),transi1095029602t_char(U_4877)))
          & hBOOL(hAPP_f851858423l_bool(hAPP_P786771093l_bool(member794220506t_char,hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,sK837(U_4882,U_4881,U_4880,U_4879,U_4878,U_4877)),sK838(U_4882,U_4881,U_4880,U_4879,U_4878,U_4877))),hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_4874),U_4873))),U_4877)) )
      | ~ hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(U_4882,U_4879),U_4878))
      | ~ hBOOL(hAPP_f851858423l_bool(hAPP_P786771093l_bool(member794220506t_char,hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_4881),U_4880)),hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_4879),U_4878))),transi1095029602t_char(U_4877))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK838]),skolemize(U_4875,sK838(U_4882,U_4881,U_4880,U_4879,U_4878,U_4877))],[f_911_3]) ).

fof(f_911_5,plain,
    ! [U_4882,U_4881,U_4880,U_4879,U_4878,U_4877] :
      ( hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(U_4882,U_4881),U_4880))
      | ? [U_4873] :
          ( ~ hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(U_4882,sK837(U_4882,U_4881,U_4880,U_4879,U_4878,U_4877)),sK838(U_4882,U_4881,U_4880,U_4879,U_4878,U_4877)))
          & hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(U_4882,sK839(U_4882,U_4881,U_4880,U_4879,U_4878,U_4877)),U_4873))
          & hBOOL(hAPP_f851858423l_bool(hAPP_P786771093l_bool(member794220506t_char,hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,sK839(U_4882,U_4881,U_4880,U_4879,U_4878,U_4877)),U_4873)),hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_4879),U_4878))),transi1095029602t_char(U_4877)))
          & hBOOL(hAPP_f851858423l_bool(hAPP_P786771093l_bool(member794220506t_char,hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,sK837(U_4882,U_4881,U_4880,U_4879,U_4878,U_4877)),sK838(U_4882,U_4881,U_4880,U_4879,U_4878,U_4877))),hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,sK839(U_4882,U_4881,U_4880,U_4879,U_4878,U_4877)),U_4873))),U_4877)) )
      | ~ hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(U_4882,U_4879),U_4878))
      | ~ hBOOL(hAPP_f851858423l_bool(hAPP_P786771093l_bool(member794220506t_char,hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_4881),U_4880)),hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_4879),U_4878))),transi1095029602t_char(U_4877))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK839]),skolemize(U_4874,sK839(U_4882,U_4881,U_4880,U_4879,U_4878,U_4877))],[f_911_4]) ).

fof(f_911_6,plain,
    ! [U_4882,U_4881,U_4880,U_4879,U_4878,U_4877] :
      ( hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(U_4882,U_4881),U_4880))
      | ( ~ hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(U_4882,sK837(U_4882,U_4881,U_4880,U_4879,U_4878,U_4877)),sK838(U_4882,U_4881,U_4880,U_4879,U_4878,U_4877)))
        & hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(U_4882,sK839(U_4882,U_4881,U_4880,U_4879,U_4878,U_4877)),sK840(U_4882,U_4881,U_4880,U_4879,U_4878,U_4877)))
        & hBOOL(hAPP_f851858423l_bool(hAPP_P786771093l_bool(member794220506t_char,hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,sK839(U_4882,U_4881,U_4880,U_4879,U_4878,U_4877)),sK840(U_4882,U_4881,U_4880,U_4879,U_4878,U_4877))),hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_4879),U_4878))),transi1095029602t_char(U_4877)))
        & hBOOL(hAPP_f851858423l_bool(hAPP_P786771093l_bool(member794220506t_char,hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,sK837(U_4882,U_4881,U_4880,U_4879,U_4878,U_4877)),sK838(U_4882,U_4881,U_4880,U_4879,U_4878,U_4877))),hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,sK839(U_4882,U_4881,U_4880,U_4879,U_4878,U_4877)),sK840(U_4882,U_4881,U_4880,U_4879,U_4878,U_4877)))),U_4877)) )
      | ~ hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(U_4882,U_4879),U_4878))
      | ~ hBOOL(hAPP_f851858423l_bool(hAPP_P786771093l_bool(member794220506t_char,hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_4881),U_4880)),hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_4879),U_4878))),transi1095029602t_char(U_4877))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK840]),skolemize(U_4873,sK840(U_4882,U_4881,U_4880,U_4879,U_4878,U_4877))],[f_911_5]) ).

cnf(f_911_7,plain,
    ( hBOOL(hAPP_f851858423l_bool(hAPP_P786771093l_bool(member794220506t_char,hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,sK837(U_4882,U_4881,U_4880,U_4879,U_4878,U_4877)),sK838(U_4882,U_4881,U_4880,U_4879,U_4878,U_4877))),hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,sK839(U_4882,U_4881,U_4880,U_4879,U_4878,U_4877)),sK840(U_4882,U_4881,U_4880,U_4879,U_4878,U_4877)))),U_4877))
    | hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(U_4882,U_4881),U_4880))
    | ~ hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(U_4882,U_4879),U_4878))
    | ~ hBOOL(hAPP_f851858423l_bool(hAPP_P786771093l_bool(member794220506t_char,hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_4881),U_4880)),hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_4879),U_4878))),transi1095029602t_char(U_4877))) ),
    inference(clausify,[status(thm)],[f_911_6]) ).

cnf(f_911_8,plain,
    ( hBOOL(hAPP_f851858423l_bool(hAPP_P786771093l_bool(member794220506t_char,hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,sK839(U_4882,U_4881,U_4880,U_4879,U_4878,U_4877)),sK840(U_4882,U_4881,U_4880,U_4879,U_4878,U_4877))),hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_4879),U_4878))),transi1095029602t_char(U_4877)))
    | hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(U_4882,U_4881),U_4880))
    | ~ hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(U_4882,U_4879),U_4878))
    | ~ hBOOL(hAPP_f851858423l_bool(hAPP_P786771093l_bool(member794220506t_char,hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_4881),U_4880)),hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_4879),U_4878))),transi1095029602t_char(U_4877))) ),
    inference(clausify,[status(thm)],[f_911_6]) ).

cnf(f_911_9,plain,
    ( hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(U_4882,sK839(U_4882,U_4881,U_4880,U_4879,U_4878,U_4877)),sK840(U_4882,U_4881,U_4880,U_4879,U_4878,U_4877)))
    | hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(U_4882,U_4881),U_4880))
    | ~ hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(U_4882,U_4879),U_4878))
    | ~ hBOOL(hAPP_f851858423l_bool(hAPP_P786771093l_bool(member794220506t_char,hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_4881),U_4880)),hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_4879),U_4878))),transi1095029602t_char(U_4877))) ),
    inference(clausify,[status(thm)],[f_911_6]) ).

cnf(f_911_10,plain,
    ( ~ hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(U_4882,sK837(U_4882,U_4881,U_4880,U_4879,U_4878,U_4877)),sK838(U_4882,U_4881,U_4880,U_4879,U_4878,U_4877)))
    | hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(U_4882,U_4881),U_4880))
    | ~ hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(U_4882,U_4879),U_4878))
    | ~ hBOOL(hAPP_f851858423l_bool(hAPP_P786771093l_bool(member794220506t_char,hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_4881),U_4880)),hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_4879),U_4878))),transi1095029602t_char(U_4877))) ),
    inference(clausify,[status(thm)],[f_911_6]) ).

fof(f_912_1,plain,
    ! [Pa,Ax,Ay,Bx,By,R_1] :
      ( hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(Pa,Ax),Ay))
      | ? [A_1,B_2,Aa,Ba] :
          ( ~ hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(Pa,A_1),B_2))
          & hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(Pa,Aa),Ba))
          & hBOOL(hAPP_f665343921l_bool(hAPP_P502294281l_bool(member1322055188on_val,hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,Aa),Ba)),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,Bx),By))),transi61620055on_val(R_1)))
          & hBOOL(hAPP_f665343921l_bool(hAPP_P502294281l_bool(member1322055188on_val,hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,A_1),B_2)),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,Aa),Ba))),R_1)) )
      | ~ hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(Pa,Bx),By))
      | ~ hBOOL(hAPP_f665343921l_bool(hAPP_P502294281l_bool(member1322055188on_val,hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,Ax),Ay)),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,Bx),By))),transi61620055on_val(R_1))) ),
    inference(fof_nnf,[status(thm)],[fact_770_converse__rtrancl__induct2]) ).

fof(f_912_2,plain,
    ! [U_4892,U_4891,U_4890,U_4889,U_4888,U_4887] :
      ( hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(U_4892,U_4891),U_4890))
      | ? [U_4886,U_4885,U_4884,U_4883] :
          ( ~ hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(U_4892,U_4886),U_4885))
          & hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(U_4892,U_4884),U_4883))
          & hBOOL(hAPP_f665343921l_bool(hAPP_P502294281l_bool(member1322055188on_val,hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_4884),U_4883)),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_4889),U_4888))),transi61620055on_val(U_4887)))
          & hBOOL(hAPP_f665343921l_bool(hAPP_P502294281l_bool(member1322055188on_val,hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_4886),U_4885)),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_4884),U_4883))),U_4887)) )
      | ~ hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(U_4892,U_4889),U_4888))
      | ~ hBOOL(hAPP_f665343921l_bool(hAPP_P502294281l_bool(member1322055188on_val,hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_4891),U_4890)),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_4889),U_4888))),transi61620055on_val(U_4887))) ),
    inference(variable_rename,[status(thm)],[f_912_1]) ).

fof(f_912_3,plain,
    ! [U_4892,U_4891,U_4890,U_4889,U_4888,U_4887] :
      ( hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(U_4892,U_4891),U_4890))
      | ? [U_4885,U_4884,U_4883] :
          ( ~ hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(U_4892,sK841(U_4892,U_4891,U_4890,U_4889,U_4888,U_4887)),U_4885))
          & hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(U_4892,U_4884),U_4883))
          & hBOOL(hAPP_f665343921l_bool(hAPP_P502294281l_bool(member1322055188on_val,hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_4884),U_4883)),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_4889),U_4888))),transi61620055on_val(U_4887)))
          & hBOOL(hAPP_f665343921l_bool(hAPP_P502294281l_bool(member1322055188on_val,hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,sK841(U_4892,U_4891,U_4890,U_4889,U_4888,U_4887)),U_4885)),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_4884),U_4883))),U_4887)) )
      | ~ hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(U_4892,U_4889),U_4888))
      | ~ hBOOL(hAPP_f665343921l_bool(hAPP_P502294281l_bool(member1322055188on_val,hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_4891),U_4890)),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_4889),U_4888))),transi61620055on_val(U_4887))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK841]),skolemize(U_4886,sK841(U_4892,U_4891,U_4890,U_4889,U_4888,U_4887))],[f_912_2]) ).

fof(f_912_4,plain,
    ! [U_4892,U_4891,U_4890,U_4889,U_4888,U_4887] :
      ( hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(U_4892,U_4891),U_4890))
      | ? [U_4884,U_4883] :
          ( ~ hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(U_4892,sK841(U_4892,U_4891,U_4890,U_4889,U_4888,U_4887)),sK842(U_4892,U_4891,U_4890,U_4889,U_4888,U_4887)))
          & hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(U_4892,U_4884),U_4883))
          & hBOOL(hAPP_f665343921l_bool(hAPP_P502294281l_bool(member1322055188on_val,hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_4884),U_4883)),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_4889),U_4888))),transi61620055on_val(U_4887)))
          & hBOOL(hAPP_f665343921l_bool(hAPP_P502294281l_bool(member1322055188on_val,hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,sK841(U_4892,U_4891,U_4890,U_4889,U_4888,U_4887)),sK842(U_4892,U_4891,U_4890,U_4889,U_4888,U_4887))),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_4884),U_4883))),U_4887)) )
      | ~ hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(U_4892,U_4889),U_4888))
      | ~ hBOOL(hAPP_f665343921l_bool(hAPP_P502294281l_bool(member1322055188on_val,hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_4891),U_4890)),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_4889),U_4888))),transi61620055on_val(U_4887))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK842]),skolemize(U_4885,sK842(U_4892,U_4891,U_4890,U_4889,U_4888,U_4887))],[f_912_3]) ).

fof(f_912_5,plain,
    ! [U_4892,U_4891,U_4890,U_4889,U_4888,U_4887] :
      ( hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(U_4892,U_4891),U_4890))
      | ? [U_4883] :
          ( ~ hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(U_4892,sK841(U_4892,U_4891,U_4890,U_4889,U_4888,U_4887)),sK842(U_4892,U_4891,U_4890,U_4889,U_4888,U_4887)))
          & hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(U_4892,sK843(U_4892,U_4891,U_4890,U_4889,U_4888,U_4887)),U_4883))
          & hBOOL(hAPP_f665343921l_bool(hAPP_P502294281l_bool(member1322055188on_val,hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,sK843(U_4892,U_4891,U_4890,U_4889,U_4888,U_4887)),U_4883)),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_4889),U_4888))),transi61620055on_val(U_4887)))
          & hBOOL(hAPP_f665343921l_bool(hAPP_P502294281l_bool(member1322055188on_val,hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,sK841(U_4892,U_4891,U_4890,U_4889,U_4888,U_4887)),sK842(U_4892,U_4891,U_4890,U_4889,U_4888,U_4887))),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,sK843(U_4892,U_4891,U_4890,U_4889,U_4888,U_4887)),U_4883))),U_4887)) )
      | ~ hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(U_4892,U_4889),U_4888))
      | ~ hBOOL(hAPP_f665343921l_bool(hAPP_P502294281l_bool(member1322055188on_val,hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_4891),U_4890)),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_4889),U_4888))),transi61620055on_val(U_4887))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK843]),skolemize(U_4884,sK843(U_4892,U_4891,U_4890,U_4889,U_4888,U_4887))],[f_912_4]) ).

fof(f_912_6,plain,
    ! [U_4892,U_4891,U_4890,U_4889,U_4888,U_4887] :
      ( hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(U_4892,U_4891),U_4890))
      | ( ~ hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(U_4892,sK841(U_4892,U_4891,U_4890,U_4889,U_4888,U_4887)),sK842(U_4892,U_4891,U_4890,U_4889,U_4888,U_4887)))
        & hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(U_4892,sK843(U_4892,U_4891,U_4890,U_4889,U_4888,U_4887)),sK844(U_4892,U_4891,U_4890,U_4889,U_4888,U_4887)))
        & hBOOL(hAPP_f665343921l_bool(hAPP_P502294281l_bool(member1322055188on_val,hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,sK843(U_4892,U_4891,U_4890,U_4889,U_4888,U_4887)),sK844(U_4892,U_4891,U_4890,U_4889,U_4888,U_4887))),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_4889),U_4888))),transi61620055on_val(U_4887)))
        & hBOOL(hAPP_f665343921l_bool(hAPP_P502294281l_bool(member1322055188on_val,hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,sK841(U_4892,U_4891,U_4890,U_4889,U_4888,U_4887)),sK842(U_4892,U_4891,U_4890,U_4889,U_4888,U_4887))),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,sK843(U_4892,U_4891,U_4890,U_4889,U_4888,U_4887)),sK844(U_4892,U_4891,U_4890,U_4889,U_4888,U_4887)))),U_4887)) )
      | ~ hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(U_4892,U_4889),U_4888))
      | ~ hBOOL(hAPP_f665343921l_bool(hAPP_P502294281l_bool(member1322055188on_val,hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_4891),U_4890)),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_4889),U_4888))),transi61620055on_val(U_4887))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK844]),skolemize(U_4883,sK844(U_4892,U_4891,U_4890,U_4889,U_4888,U_4887))],[f_912_5]) ).

cnf(f_912_7,plain,
    ( hBOOL(hAPP_f665343921l_bool(hAPP_P502294281l_bool(member1322055188on_val,hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,sK841(U_4892,U_4891,U_4890,U_4889,U_4888,U_4887)),sK842(U_4892,U_4891,U_4890,U_4889,U_4888,U_4887))),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,sK843(U_4892,U_4891,U_4890,U_4889,U_4888,U_4887)),sK844(U_4892,U_4891,U_4890,U_4889,U_4888,U_4887)))),U_4887))
    | hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(U_4892,U_4891),U_4890))
    | ~ hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(U_4892,U_4889),U_4888))
    | ~ hBOOL(hAPP_f665343921l_bool(hAPP_P502294281l_bool(member1322055188on_val,hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_4891),U_4890)),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_4889),U_4888))),transi61620055on_val(U_4887))) ),
    inference(clausify,[status(thm)],[f_912_6]) ).

cnf(f_912_8,plain,
    ( hBOOL(hAPP_f665343921l_bool(hAPP_P502294281l_bool(member1322055188on_val,hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,sK843(U_4892,U_4891,U_4890,U_4889,U_4888,U_4887)),sK844(U_4892,U_4891,U_4890,U_4889,U_4888,U_4887))),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_4889),U_4888))),transi61620055on_val(U_4887)))
    | hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(U_4892,U_4891),U_4890))
    | ~ hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(U_4892,U_4889),U_4888))
    | ~ hBOOL(hAPP_f665343921l_bool(hAPP_P502294281l_bool(member1322055188on_val,hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_4891),U_4890)),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_4889),U_4888))),transi61620055on_val(U_4887))) ),
    inference(clausify,[status(thm)],[f_912_6]) ).

cnf(f_912_9,plain,
    ( hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(U_4892,sK843(U_4892,U_4891,U_4890,U_4889,U_4888,U_4887)),sK844(U_4892,U_4891,U_4890,U_4889,U_4888,U_4887)))
    | hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(U_4892,U_4891),U_4890))
    | ~ hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(U_4892,U_4889),U_4888))
    | ~ hBOOL(hAPP_f665343921l_bool(hAPP_P502294281l_bool(member1322055188on_val,hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_4891),U_4890)),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_4889),U_4888))),transi61620055on_val(U_4887))) ),
    inference(clausify,[status(thm)],[f_912_6]) ).

cnf(f_912_10,plain,
    ( ~ hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(U_4892,sK841(U_4892,U_4891,U_4890,U_4889,U_4888,U_4887)),sK842(U_4892,U_4891,U_4890,U_4889,U_4888,U_4887)))
    | hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(U_4892,U_4891),U_4890))
    | ~ hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(U_4892,U_4889),U_4888))
    | ~ hBOOL(hAPP_f665343921l_bool(hAPP_P502294281l_bool(member1322055188on_val,hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_4891),U_4890)),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_4889),U_4888))),transi61620055on_val(U_4887))) ),
    inference(clausify,[status(thm)],[f_912_6]) ).

fof(f_913_1,plain,
    ! [Pa,Ax,Ay,Bx,By,R_1] :
      ( hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(Pa,Ax),Ay))
      | ? [A_1,B_2,Aa,Ba] :
          ( ~ hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(Pa,A_1),B_2))
          & hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(Pa,Aa),Ba))
          & hBOOL(hAPP_f1297673713l_bool(hAPP_P240409993l_bool(member563141460on_val,hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Aa),Ba)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Bx),By))),transi921647814on_val(R_1)))
          & hBOOL(hAPP_f1297673713l_bool(hAPP_P240409993l_bool(member563141460on_val,hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A_1),B_2)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Aa),Ba))),R_1)) )
      | ~ hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(Pa,Bx),By))
      | ~ hBOOL(hAPP_f1297673713l_bool(hAPP_P240409993l_bool(member563141460on_val,hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Ax),Ay)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Bx),By))),transi921647814on_val(R_1))) ),
    inference(fof_nnf,[status(thm)],[fact_771_converse__rtrancl__induct2]) ).

fof(f_913_2,plain,
    ! [U_4902,U_4901,U_4900,U_4899,U_4898,U_4897] :
      ( hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(U_4902,U_4901),U_4900))
      | ? [U_4896,U_4895,U_4894,U_4893] :
          ( ~ hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(U_4902,U_4896),U_4895))
          & hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(U_4902,U_4894),U_4893))
          & hBOOL(hAPP_f1297673713l_bool(hAPP_P240409993l_bool(member563141460on_val,hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_4894),U_4893)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_4899),U_4898))),transi921647814on_val(U_4897)))
          & hBOOL(hAPP_f1297673713l_bool(hAPP_P240409993l_bool(member563141460on_val,hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_4896),U_4895)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_4894),U_4893))),U_4897)) )
      | ~ hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(U_4902,U_4899),U_4898))
      | ~ hBOOL(hAPP_f1297673713l_bool(hAPP_P240409993l_bool(member563141460on_val,hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_4901),U_4900)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_4899),U_4898))),transi921647814on_val(U_4897))) ),
    inference(variable_rename,[status(thm)],[f_913_1]) ).

fof(f_913_3,plain,
    ! [U_4902,U_4901,U_4900,U_4899,U_4898,U_4897] :
      ( hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(U_4902,U_4901),U_4900))
      | ? [U_4895,U_4894,U_4893] :
          ( ~ hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(U_4902,sK845(U_4902,U_4901,U_4900,U_4899,U_4898,U_4897)),U_4895))
          & hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(U_4902,U_4894),U_4893))
          & hBOOL(hAPP_f1297673713l_bool(hAPP_P240409993l_bool(member563141460on_val,hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_4894),U_4893)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_4899),U_4898))),transi921647814on_val(U_4897)))
          & hBOOL(hAPP_f1297673713l_bool(hAPP_P240409993l_bool(member563141460on_val,hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK845(U_4902,U_4901,U_4900,U_4899,U_4898,U_4897)),U_4895)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_4894),U_4893))),U_4897)) )
      | ~ hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(U_4902,U_4899),U_4898))
      | ~ hBOOL(hAPP_f1297673713l_bool(hAPP_P240409993l_bool(member563141460on_val,hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_4901),U_4900)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_4899),U_4898))),transi921647814on_val(U_4897))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK845]),skolemize(U_4896,sK845(U_4902,U_4901,U_4900,U_4899,U_4898,U_4897))],[f_913_2]) ).

fof(f_913_4,plain,
    ! [U_4902,U_4901,U_4900,U_4899,U_4898,U_4897] :
      ( hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(U_4902,U_4901),U_4900))
      | ? [U_4894,U_4893] :
          ( ~ hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(U_4902,sK845(U_4902,U_4901,U_4900,U_4899,U_4898,U_4897)),sK846(U_4902,U_4901,U_4900,U_4899,U_4898,U_4897)))
          & hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(U_4902,U_4894),U_4893))
          & hBOOL(hAPP_f1297673713l_bool(hAPP_P240409993l_bool(member563141460on_val,hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_4894),U_4893)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_4899),U_4898))),transi921647814on_val(U_4897)))
          & hBOOL(hAPP_f1297673713l_bool(hAPP_P240409993l_bool(member563141460on_val,hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK845(U_4902,U_4901,U_4900,U_4899,U_4898,U_4897)),sK846(U_4902,U_4901,U_4900,U_4899,U_4898,U_4897))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_4894),U_4893))),U_4897)) )
      | ~ hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(U_4902,U_4899),U_4898))
      | ~ hBOOL(hAPP_f1297673713l_bool(hAPP_P240409993l_bool(member563141460on_val,hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_4901),U_4900)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_4899),U_4898))),transi921647814on_val(U_4897))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK846]),skolemize(U_4895,sK846(U_4902,U_4901,U_4900,U_4899,U_4898,U_4897))],[f_913_3]) ).

fof(f_913_5,plain,
    ! [U_4902,U_4901,U_4900,U_4899,U_4898,U_4897] :
      ( hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(U_4902,U_4901),U_4900))
      | ? [U_4893] :
          ( ~ hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(U_4902,sK845(U_4902,U_4901,U_4900,U_4899,U_4898,U_4897)),sK846(U_4902,U_4901,U_4900,U_4899,U_4898,U_4897)))
          & hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(U_4902,sK847(U_4902,U_4901,U_4900,U_4899,U_4898,U_4897)),U_4893))
          & hBOOL(hAPP_f1297673713l_bool(hAPP_P240409993l_bool(member563141460on_val,hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK847(U_4902,U_4901,U_4900,U_4899,U_4898,U_4897)),U_4893)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_4899),U_4898))),transi921647814on_val(U_4897)))
          & hBOOL(hAPP_f1297673713l_bool(hAPP_P240409993l_bool(member563141460on_val,hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK845(U_4902,U_4901,U_4900,U_4899,U_4898,U_4897)),sK846(U_4902,U_4901,U_4900,U_4899,U_4898,U_4897))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK847(U_4902,U_4901,U_4900,U_4899,U_4898,U_4897)),U_4893))),U_4897)) )
      | ~ hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(U_4902,U_4899),U_4898))
      | ~ hBOOL(hAPP_f1297673713l_bool(hAPP_P240409993l_bool(member563141460on_val,hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_4901),U_4900)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_4899),U_4898))),transi921647814on_val(U_4897))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK847]),skolemize(U_4894,sK847(U_4902,U_4901,U_4900,U_4899,U_4898,U_4897))],[f_913_4]) ).

fof(f_913_6,plain,
    ! [U_4902,U_4901,U_4900,U_4899,U_4898,U_4897] :
      ( hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(U_4902,U_4901),U_4900))
      | ( ~ hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(U_4902,sK845(U_4902,U_4901,U_4900,U_4899,U_4898,U_4897)),sK846(U_4902,U_4901,U_4900,U_4899,U_4898,U_4897)))
        & hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(U_4902,sK847(U_4902,U_4901,U_4900,U_4899,U_4898,U_4897)),sK848(U_4902,U_4901,U_4900,U_4899,U_4898,U_4897)))
        & hBOOL(hAPP_f1297673713l_bool(hAPP_P240409993l_bool(member563141460on_val,hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK847(U_4902,U_4901,U_4900,U_4899,U_4898,U_4897)),sK848(U_4902,U_4901,U_4900,U_4899,U_4898,U_4897))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_4899),U_4898))),transi921647814on_val(U_4897)))
        & hBOOL(hAPP_f1297673713l_bool(hAPP_P240409993l_bool(member563141460on_val,hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK845(U_4902,U_4901,U_4900,U_4899,U_4898,U_4897)),sK846(U_4902,U_4901,U_4900,U_4899,U_4898,U_4897))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK847(U_4902,U_4901,U_4900,U_4899,U_4898,U_4897)),sK848(U_4902,U_4901,U_4900,U_4899,U_4898,U_4897)))),U_4897)) )
      | ~ hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(U_4902,U_4899),U_4898))
      | ~ hBOOL(hAPP_f1297673713l_bool(hAPP_P240409993l_bool(member563141460on_val,hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_4901),U_4900)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_4899),U_4898))),transi921647814on_val(U_4897))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK848]),skolemize(U_4893,sK848(U_4902,U_4901,U_4900,U_4899,U_4898,U_4897))],[f_913_5]) ).

cnf(f_913_7,plain,
    ( hBOOL(hAPP_f1297673713l_bool(hAPP_P240409993l_bool(member563141460on_val,hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK845(U_4902,U_4901,U_4900,U_4899,U_4898,U_4897)),sK846(U_4902,U_4901,U_4900,U_4899,U_4898,U_4897))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK847(U_4902,U_4901,U_4900,U_4899,U_4898,U_4897)),sK848(U_4902,U_4901,U_4900,U_4899,U_4898,U_4897)))),U_4897))
    | hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(U_4902,U_4901),U_4900))
    | ~ hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(U_4902,U_4899),U_4898))
    | ~ hBOOL(hAPP_f1297673713l_bool(hAPP_P240409993l_bool(member563141460on_val,hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_4901),U_4900)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_4899),U_4898))),transi921647814on_val(U_4897))) ),
    inference(clausify,[status(thm)],[f_913_6]) ).

cnf(f_913_8,plain,
    ( hBOOL(hAPP_f1297673713l_bool(hAPP_P240409993l_bool(member563141460on_val,hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK847(U_4902,U_4901,U_4900,U_4899,U_4898,U_4897)),sK848(U_4902,U_4901,U_4900,U_4899,U_4898,U_4897))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_4899),U_4898))),transi921647814on_val(U_4897)))
    | hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(U_4902,U_4901),U_4900))
    | ~ hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(U_4902,U_4899),U_4898))
    | ~ hBOOL(hAPP_f1297673713l_bool(hAPP_P240409993l_bool(member563141460on_val,hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_4901),U_4900)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_4899),U_4898))),transi921647814on_val(U_4897))) ),
    inference(clausify,[status(thm)],[f_913_6]) ).

cnf(f_913_9,plain,
    ( hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(U_4902,sK847(U_4902,U_4901,U_4900,U_4899,U_4898,U_4897)),sK848(U_4902,U_4901,U_4900,U_4899,U_4898,U_4897)))
    | hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(U_4902,U_4901),U_4900))
    | ~ hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(U_4902,U_4899),U_4898))
    | ~ hBOOL(hAPP_f1297673713l_bool(hAPP_P240409993l_bool(member563141460on_val,hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_4901),U_4900)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_4899),U_4898))),transi921647814on_val(U_4897))) ),
    inference(clausify,[status(thm)],[f_913_6]) ).

cnf(f_913_10,plain,
    ( ~ hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(U_4902,sK845(U_4902,U_4901,U_4900,U_4899,U_4898,U_4897)),sK846(U_4902,U_4901,U_4900,U_4899,U_4898,U_4897)))
    | hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(U_4902,U_4901),U_4900))
    | ~ hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(U_4902,U_4899),U_4898))
    | ~ hBOOL(hAPP_f1297673713l_bool(hAPP_P240409993l_bool(member563141460on_val,hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_4901),U_4900)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_4899),U_4898))),transi921647814on_val(U_4897))) ),
    inference(clausify,[status(thm)],[f_913_6]) ).

fof(f_914_1,plain,
    ! [Pa,Ax,Ay,Bx,By,R_1] :
      ( hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(Pa,Ax),Ay))
      | ? [A_1,B_2,Aa,Ba] :
          ( ~ hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(Pa,A_1),B_2))
          & hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(Pa,Aa),Ba))
          & hBOOL(hAPP_f1261741735l_bool(hAPP_P1362631157l_bool(member808015754on_val,hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,Aa),Ba)),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,Bx),By))),transi910771962on_val(R_1)))
          & hBOOL(hAPP_f1261741735l_bool(hAPP_P1362631157l_bool(member808015754on_val,hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_1),B_2)),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,Aa),Ba))),R_1)) )
      | ~ hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(Pa,Bx),By))
      | ~ hBOOL(hAPP_f1261741735l_bool(hAPP_P1362631157l_bool(member808015754on_val,hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,Ax),Ay)),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,Bx),By))),transi910771962on_val(R_1))) ),
    inference(fof_nnf,[status(thm)],[fact_772_converse__rtrancl__induct2]) ).

fof(f_914_2,plain,
    ! [U_4912,U_4911,U_4910,U_4909,U_4908,U_4907] :
      ( hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(U_4912,U_4911),U_4910))
      | ? [U_4906,U_4905,U_4904,U_4903] :
          ( ~ hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(U_4912,U_4906),U_4905))
          & hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(U_4912,U_4904),U_4903))
          & hBOOL(hAPP_f1261741735l_bool(hAPP_P1362631157l_bool(member808015754on_val,hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_4904),U_4903)),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_4909),U_4908))),transi910771962on_val(U_4907)))
          & hBOOL(hAPP_f1261741735l_bool(hAPP_P1362631157l_bool(member808015754on_val,hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_4906),U_4905)),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_4904),U_4903))),U_4907)) )
      | ~ hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(U_4912,U_4909),U_4908))
      | ~ hBOOL(hAPP_f1261741735l_bool(hAPP_P1362631157l_bool(member808015754on_val,hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_4911),U_4910)),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_4909),U_4908))),transi910771962on_val(U_4907))) ),
    inference(variable_rename,[status(thm)],[f_914_1]) ).

fof(f_914_3,plain,
    ! [U_4912,U_4911,U_4910,U_4909,U_4908,U_4907] :
      ( hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(U_4912,U_4911),U_4910))
      | ? [U_4905,U_4904,U_4903] :
          ( ~ hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(U_4912,sK849(U_4912,U_4911,U_4910,U_4909,U_4908,U_4907)),U_4905))
          & hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(U_4912,U_4904),U_4903))
          & hBOOL(hAPP_f1261741735l_bool(hAPP_P1362631157l_bool(member808015754on_val,hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_4904),U_4903)),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_4909),U_4908))),transi910771962on_val(U_4907)))
          & hBOOL(hAPP_f1261741735l_bool(hAPP_P1362631157l_bool(member808015754on_val,hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK849(U_4912,U_4911,U_4910,U_4909,U_4908,U_4907)),U_4905)),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_4904),U_4903))),U_4907)) )
      | ~ hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(U_4912,U_4909),U_4908))
      | ~ hBOOL(hAPP_f1261741735l_bool(hAPP_P1362631157l_bool(member808015754on_val,hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_4911),U_4910)),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_4909),U_4908))),transi910771962on_val(U_4907))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK849]),skolemize(U_4906,sK849(U_4912,U_4911,U_4910,U_4909,U_4908,U_4907))],[f_914_2]) ).

fof(f_914_4,plain,
    ! [U_4912,U_4911,U_4910,U_4909,U_4908,U_4907] :
      ( hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(U_4912,U_4911),U_4910))
      | ? [U_4904,U_4903] :
          ( ~ hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(U_4912,sK849(U_4912,U_4911,U_4910,U_4909,U_4908,U_4907)),sK850(U_4912,U_4911,U_4910,U_4909,U_4908,U_4907)))
          & hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(U_4912,U_4904),U_4903))
          & hBOOL(hAPP_f1261741735l_bool(hAPP_P1362631157l_bool(member808015754on_val,hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_4904),U_4903)),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_4909),U_4908))),transi910771962on_val(U_4907)))
          & hBOOL(hAPP_f1261741735l_bool(hAPP_P1362631157l_bool(member808015754on_val,hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK849(U_4912,U_4911,U_4910,U_4909,U_4908,U_4907)),sK850(U_4912,U_4911,U_4910,U_4909,U_4908,U_4907))),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_4904),U_4903))),U_4907)) )
      | ~ hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(U_4912,U_4909),U_4908))
      | ~ hBOOL(hAPP_f1261741735l_bool(hAPP_P1362631157l_bool(member808015754on_val,hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_4911),U_4910)),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_4909),U_4908))),transi910771962on_val(U_4907))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK850]),skolemize(U_4905,sK850(U_4912,U_4911,U_4910,U_4909,U_4908,U_4907))],[f_914_3]) ).

fof(f_914_5,plain,
    ! [U_4912,U_4911,U_4910,U_4909,U_4908,U_4907] :
      ( hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(U_4912,U_4911),U_4910))
      | ? [U_4903] :
          ( ~ hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(U_4912,sK849(U_4912,U_4911,U_4910,U_4909,U_4908,U_4907)),sK850(U_4912,U_4911,U_4910,U_4909,U_4908,U_4907)))
          & hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(U_4912,sK851(U_4912,U_4911,U_4910,U_4909,U_4908,U_4907)),U_4903))
          & hBOOL(hAPP_f1261741735l_bool(hAPP_P1362631157l_bool(member808015754on_val,hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK851(U_4912,U_4911,U_4910,U_4909,U_4908,U_4907)),U_4903)),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_4909),U_4908))),transi910771962on_val(U_4907)))
          & hBOOL(hAPP_f1261741735l_bool(hAPP_P1362631157l_bool(member808015754on_val,hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK849(U_4912,U_4911,U_4910,U_4909,U_4908,U_4907)),sK850(U_4912,U_4911,U_4910,U_4909,U_4908,U_4907))),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK851(U_4912,U_4911,U_4910,U_4909,U_4908,U_4907)),U_4903))),U_4907)) )
      | ~ hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(U_4912,U_4909),U_4908))
      | ~ hBOOL(hAPP_f1261741735l_bool(hAPP_P1362631157l_bool(member808015754on_val,hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_4911),U_4910)),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_4909),U_4908))),transi910771962on_val(U_4907))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK851]),skolemize(U_4904,sK851(U_4912,U_4911,U_4910,U_4909,U_4908,U_4907))],[f_914_4]) ).

fof(f_914_6,plain,
    ! [U_4912,U_4911,U_4910,U_4909,U_4908,U_4907] :
      ( hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(U_4912,U_4911),U_4910))
      | ( ~ hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(U_4912,sK849(U_4912,U_4911,U_4910,U_4909,U_4908,U_4907)),sK850(U_4912,U_4911,U_4910,U_4909,U_4908,U_4907)))
        & hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(U_4912,sK851(U_4912,U_4911,U_4910,U_4909,U_4908,U_4907)),sK852(U_4912,U_4911,U_4910,U_4909,U_4908,U_4907)))
        & hBOOL(hAPP_f1261741735l_bool(hAPP_P1362631157l_bool(member808015754on_val,hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK851(U_4912,U_4911,U_4910,U_4909,U_4908,U_4907)),sK852(U_4912,U_4911,U_4910,U_4909,U_4908,U_4907))),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_4909),U_4908))),transi910771962on_val(U_4907)))
        & hBOOL(hAPP_f1261741735l_bool(hAPP_P1362631157l_bool(member808015754on_val,hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK849(U_4912,U_4911,U_4910,U_4909,U_4908,U_4907)),sK850(U_4912,U_4911,U_4910,U_4909,U_4908,U_4907))),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK851(U_4912,U_4911,U_4910,U_4909,U_4908,U_4907)),sK852(U_4912,U_4911,U_4910,U_4909,U_4908,U_4907)))),U_4907)) )
      | ~ hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(U_4912,U_4909),U_4908))
      | ~ hBOOL(hAPP_f1261741735l_bool(hAPP_P1362631157l_bool(member808015754on_val,hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_4911),U_4910)),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_4909),U_4908))),transi910771962on_val(U_4907))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK852]),skolemize(U_4903,sK852(U_4912,U_4911,U_4910,U_4909,U_4908,U_4907))],[f_914_5]) ).

cnf(f_914_7,plain,
    ( hBOOL(hAPP_f1261741735l_bool(hAPP_P1362631157l_bool(member808015754on_val,hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK849(U_4912,U_4911,U_4910,U_4909,U_4908,U_4907)),sK850(U_4912,U_4911,U_4910,U_4909,U_4908,U_4907))),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK851(U_4912,U_4911,U_4910,U_4909,U_4908,U_4907)),sK852(U_4912,U_4911,U_4910,U_4909,U_4908,U_4907)))),U_4907))
    | hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(U_4912,U_4911),U_4910))
    | ~ hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(U_4912,U_4909),U_4908))
    | ~ hBOOL(hAPP_f1261741735l_bool(hAPP_P1362631157l_bool(member808015754on_val,hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_4911),U_4910)),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_4909),U_4908))),transi910771962on_val(U_4907))) ),
    inference(clausify,[status(thm)],[f_914_6]) ).

cnf(f_914_8,plain,
    ( hBOOL(hAPP_f1261741735l_bool(hAPP_P1362631157l_bool(member808015754on_val,hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK851(U_4912,U_4911,U_4910,U_4909,U_4908,U_4907)),sK852(U_4912,U_4911,U_4910,U_4909,U_4908,U_4907))),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_4909),U_4908))),transi910771962on_val(U_4907)))
    | hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(U_4912,U_4911),U_4910))
    | ~ hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(U_4912,U_4909),U_4908))
    | ~ hBOOL(hAPP_f1261741735l_bool(hAPP_P1362631157l_bool(member808015754on_val,hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_4911),U_4910)),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_4909),U_4908))),transi910771962on_val(U_4907))) ),
    inference(clausify,[status(thm)],[f_914_6]) ).

cnf(f_914_9,plain,
    ( hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(U_4912,sK851(U_4912,U_4911,U_4910,U_4909,U_4908,U_4907)),sK852(U_4912,U_4911,U_4910,U_4909,U_4908,U_4907)))
    | hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(U_4912,U_4911),U_4910))
    | ~ hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(U_4912,U_4909),U_4908))
    | ~ hBOOL(hAPP_f1261741735l_bool(hAPP_P1362631157l_bool(member808015754on_val,hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_4911),U_4910)),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_4909),U_4908))),transi910771962on_val(U_4907))) ),
    inference(clausify,[status(thm)],[f_914_6]) ).

cnf(f_914_10,plain,
    ( ~ hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(U_4912,sK849(U_4912,U_4911,U_4910,U_4909,U_4908,U_4907)),sK850(U_4912,U_4911,U_4910,U_4909,U_4908,U_4907)))
    | hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(U_4912,U_4911),U_4910))
    | ~ hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(U_4912,U_4909),U_4908))
    | ~ hBOOL(hAPP_f1261741735l_bool(hAPP_P1362631157l_bool(member808015754on_val,hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_4911),U_4910)),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_4909),U_4908))),transi910771962on_val(U_4907))) ),
    inference(clausify,[status(thm)],[f_914_6]) ).

fof(f_915_1,plain,
    ! [Pa,Ax,Ay,Bx,By,R_1] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(Pa,Bx),By))
      | ? [A_1,B_2,Aa,Ba] :
          ( ~ hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(Pa,Aa),Ba))
          & hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(Pa,A_1),B_2))
          & hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,A_1),B_2)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Aa),Ba))),R_1))
          & hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Ax),Ay)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,A_1),B_2))),transi374442731on_val(R_1))) )
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(Pa,Ax),Ay))
      | ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Ax),Ay)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Bx),By))),transi374442731on_val(R_1))) ),
    inference(fof_nnf,[status(thm)],[fact_773_rtrancl__induct2]) ).

fof(f_915_2,plain,
    ! [U_4922,U_4921,U_4920,U_4919,U_4918,U_4917] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(U_4922,U_4919),U_4918))
      | ? [U_4916,U_4915,U_4914,U_4913] :
          ( ~ hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(U_4922,U_4914),U_4913))
          & hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(U_4922,U_4916),U_4915))
          & hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_4916),U_4915)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_4914),U_4913))),U_4917))
          & hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_4921),U_4920)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_4916),U_4915))),transi374442731on_val(U_4917))) )
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(U_4922,U_4921),U_4920))
      | ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_4921),U_4920)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_4919),U_4918))),transi374442731on_val(U_4917))) ),
    inference(variable_rename,[status(thm)],[f_915_1]) ).

fof(f_915_3,plain,
    ! [U_4922,U_4921,U_4920,U_4919,U_4918,U_4917] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(U_4922,U_4919),U_4918))
      | ? [U_4916,U_4915] :
          ( ? [U_4914,U_4913] :
              ( ~ hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(U_4922,U_4914),U_4913))
              & hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(U_4922,U_4916),U_4915))
              & hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_4916),U_4915)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_4914),U_4913))),U_4917)) )
          & hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_4921),U_4920)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_4916),U_4915))),transi374442731on_val(U_4917))) )
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(U_4922,U_4921),U_4920))
      | ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_4921),U_4920)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_4919),U_4918))),transi374442731on_val(U_4917))) ),
    inference(miniscope,[status(thm)],[f_915_2]) ).

fof(f_915_4,plain,
    ! [U_4922,U_4921,U_4920,U_4919,U_4918,U_4917] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(U_4922,U_4919),U_4918))
      | ? [U_4915] :
          ( ? [U_4914,U_4913] :
              ( ~ hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(U_4922,U_4914),U_4913))
              & hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(U_4922,sK853(U_4922,U_4921,U_4920,U_4919,U_4918,U_4917)),U_4915))
              & hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,sK853(U_4922,U_4921,U_4920,U_4919,U_4918,U_4917)),U_4915)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_4914),U_4913))),U_4917)) )
          & hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_4921),U_4920)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,sK853(U_4922,U_4921,U_4920,U_4919,U_4918,U_4917)),U_4915))),transi374442731on_val(U_4917))) )
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(U_4922,U_4921),U_4920))
      | ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_4921),U_4920)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_4919),U_4918))),transi374442731on_val(U_4917))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK853]),skolemize(U_4916,sK853(U_4922,U_4921,U_4920,U_4919,U_4918,U_4917))],[f_915_3]) ).

fof(f_915_5,plain,
    ! [U_4922,U_4921,U_4920,U_4919,U_4918,U_4917] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(U_4922,U_4919),U_4918))
      | ( ? [U_4914,U_4913] :
            ( ~ hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(U_4922,U_4914),U_4913))
            & hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(U_4922,sK853(U_4922,U_4921,U_4920,U_4919,U_4918,U_4917)),sK854(U_4922,U_4921,U_4920,U_4919,U_4918,U_4917)))
            & hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,sK853(U_4922,U_4921,U_4920,U_4919,U_4918,U_4917)),sK854(U_4922,U_4921,U_4920,U_4919,U_4918,U_4917))),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_4914),U_4913))),U_4917)) )
        & hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_4921),U_4920)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,sK853(U_4922,U_4921,U_4920,U_4919,U_4918,U_4917)),sK854(U_4922,U_4921,U_4920,U_4919,U_4918,U_4917)))),transi374442731on_val(U_4917))) )
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(U_4922,U_4921),U_4920))
      | ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_4921),U_4920)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_4919),U_4918))),transi374442731on_val(U_4917))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK854]),skolemize(U_4915,sK854(U_4922,U_4921,U_4920,U_4919,U_4918,U_4917))],[f_915_4]) ).

fof(f_915_6,plain,
    ! [U_4922,U_4921,U_4920,U_4919,U_4918,U_4917] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(U_4922,U_4919),U_4918))
      | ( ? [U_4913] :
            ( ~ hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(U_4922,sK855(U_4922,U_4921,U_4920,U_4919,U_4918,U_4917)),U_4913))
            & hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(U_4922,sK853(U_4922,U_4921,U_4920,U_4919,U_4918,U_4917)),sK854(U_4922,U_4921,U_4920,U_4919,U_4918,U_4917)))
            & hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,sK853(U_4922,U_4921,U_4920,U_4919,U_4918,U_4917)),sK854(U_4922,U_4921,U_4920,U_4919,U_4918,U_4917))),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,sK855(U_4922,U_4921,U_4920,U_4919,U_4918,U_4917)),U_4913))),U_4917)) )
        & hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_4921),U_4920)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,sK853(U_4922,U_4921,U_4920,U_4919,U_4918,U_4917)),sK854(U_4922,U_4921,U_4920,U_4919,U_4918,U_4917)))),transi374442731on_val(U_4917))) )
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(U_4922,U_4921),U_4920))
      | ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_4921),U_4920)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_4919),U_4918))),transi374442731on_val(U_4917))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK855]),skolemize(U_4914,sK855(U_4922,U_4921,U_4920,U_4919,U_4918,U_4917))],[f_915_5]) ).

fof(f_915_7,plain,
    ! [U_4922,U_4921,U_4920,U_4919,U_4918,U_4917] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(U_4922,U_4919),U_4918))
      | ( ~ hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(U_4922,sK855(U_4922,U_4921,U_4920,U_4919,U_4918,U_4917)),sK856(U_4922,U_4921,U_4920,U_4919,U_4918,U_4917)))
        & hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(U_4922,sK853(U_4922,U_4921,U_4920,U_4919,U_4918,U_4917)),sK854(U_4922,U_4921,U_4920,U_4919,U_4918,U_4917)))
        & hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,sK853(U_4922,U_4921,U_4920,U_4919,U_4918,U_4917)),sK854(U_4922,U_4921,U_4920,U_4919,U_4918,U_4917))),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,sK855(U_4922,U_4921,U_4920,U_4919,U_4918,U_4917)),sK856(U_4922,U_4921,U_4920,U_4919,U_4918,U_4917)))),U_4917))
        & hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_4921),U_4920)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,sK853(U_4922,U_4921,U_4920,U_4919,U_4918,U_4917)),sK854(U_4922,U_4921,U_4920,U_4919,U_4918,U_4917)))),transi374442731on_val(U_4917))) )
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(U_4922,U_4921),U_4920))
      | ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_4921),U_4920)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_4919),U_4918))),transi374442731on_val(U_4917))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK856]),skolemize(U_4913,sK856(U_4922,U_4921,U_4920,U_4919,U_4918,U_4917))],[f_915_6]) ).

cnf(f_915_8,plain,
    ( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_4921),U_4920)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,sK853(U_4922,U_4921,U_4920,U_4919,U_4918,U_4917)),sK854(U_4922,U_4921,U_4920,U_4919,U_4918,U_4917)))),transi374442731on_val(U_4917)))
    | hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(U_4922,U_4919),U_4918))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(U_4922,U_4921),U_4920))
    | ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_4921),U_4920)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_4919),U_4918))),transi374442731on_val(U_4917))) ),
    inference(clausify,[status(thm)],[f_915_7]) ).

cnf(f_915_9,plain,
    ( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,sK853(U_4922,U_4921,U_4920,U_4919,U_4918,U_4917)),sK854(U_4922,U_4921,U_4920,U_4919,U_4918,U_4917))),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,sK855(U_4922,U_4921,U_4920,U_4919,U_4918,U_4917)),sK856(U_4922,U_4921,U_4920,U_4919,U_4918,U_4917)))),U_4917))
    | hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(U_4922,U_4919),U_4918))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(U_4922,U_4921),U_4920))
    | ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_4921),U_4920)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_4919),U_4918))),transi374442731on_val(U_4917))) ),
    inference(clausify,[status(thm)],[f_915_7]) ).

cnf(f_915_10,plain,
    ( hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(U_4922,sK853(U_4922,U_4921,U_4920,U_4919,U_4918,U_4917)),sK854(U_4922,U_4921,U_4920,U_4919,U_4918,U_4917)))
    | hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(U_4922,U_4919),U_4918))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(U_4922,U_4921),U_4920))
    | ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_4921),U_4920)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_4919),U_4918))),transi374442731on_val(U_4917))) ),
    inference(clausify,[status(thm)],[f_915_7]) ).

cnf(f_915_11,plain,
    ( ~ hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(U_4922,sK855(U_4922,U_4921,U_4920,U_4919,U_4918,U_4917)),sK856(U_4922,U_4921,U_4920,U_4919,U_4918,U_4917)))
    | hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(U_4922,U_4919),U_4918))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(U_4922,U_4921),U_4920))
    | ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_4921),U_4920)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_4919),U_4918))),transi374442731on_val(U_4917))) ),
    inference(clausify,[status(thm)],[f_915_7]) ).

fof(f_916_1,plain,
    ! [Pa,Ax,Ay,Bx,By,R_1] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(Pa,Bx),By))
      | ? [A_1,B_2,Aa,Ba] :
          ( ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(Pa,Aa),Ba))
          & hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(Pa,A_1),B_2))
          & hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A_1),B_2)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Aa),Ba))),R_1))
          & hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Ax),Ay)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A_1),B_2))),transi2024712006on_val(R_1))) )
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(Pa,Ax),Ay))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Ax),Ay)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Bx),By))),transi2024712006on_val(R_1))) ),
    inference(fof_nnf,[status(thm)],[fact_774_rtrancl__induct2]) ).

fof(f_916_2,plain,
    ! [U_4932,U_4931,U_4930,U_4929,U_4928,U_4927] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(U_4932,U_4929),U_4928))
      | ? [U_4926,U_4925,U_4924,U_4923] :
          ( ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(U_4932,U_4924),U_4923))
          & hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(U_4932,U_4926),U_4925))
          & hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_4926),U_4925)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_4924),U_4923))),U_4927))
          & hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_4931),U_4930)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_4926),U_4925))),transi2024712006on_val(U_4927))) )
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(U_4932,U_4931),U_4930))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_4931),U_4930)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_4929),U_4928))),transi2024712006on_val(U_4927))) ),
    inference(variable_rename,[status(thm)],[f_916_1]) ).

fof(f_916_3,plain,
    ! [U_4932,U_4931,U_4930,U_4929,U_4928,U_4927] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(U_4932,U_4929),U_4928))
      | ? [U_4926,U_4925] :
          ( ? [U_4924,U_4923] :
              ( ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(U_4932,U_4924),U_4923))
              & hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(U_4932,U_4926),U_4925))
              & hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_4926),U_4925)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_4924),U_4923))),U_4927)) )
          & hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_4931),U_4930)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_4926),U_4925))),transi2024712006on_val(U_4927))) )
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(U_4932,U_4931),U_4930))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_4931),U_4930)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_4929),U_4928))),transi2024712006on_val(U_4927))) ),
    inference(miniscope,[status(thm)],[f_916_2]) ).

fof(f_916_4,plain,
    ! [U_4932,U_4931,U_4930,U_4929,U_4928,U_4927] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(U_4932,U_4929),U_4928))
      | ? [U_4925] :
          ( ? [U_4924,U_4923] :
              ( ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(U_4932,U_4924),U_4923))
              & hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(U_4932,sK857(U_4932,U_4931,U_4930,U_4929,U_4928,U_4927)),U_4925))
              & hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK857(U_4932,U_4931,U_4930,U_4929,U_4928,U_4927)),U_4925)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_4924),U_4923))),U_4927)) )
          & hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_4931),U_4930)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK857(U_4932,U_4931,U_4930,U_4929,U_4928,U_4927)),U_4925))),transi2024712006on_val(U_4927))) )
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(U_4932,U_4931),U_4930))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_4931),U_4930)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_4929),U_4928))),transi2024712006on_val(U_4927))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK857]),skolemize(U_4926,sK857(U_4932,U_4931,U_4930,U_4929,U_4928,U_4927))],[f_916_3]) ).

fof(f_916_5,plain,
    ! [U_4932,U_4931,U_4930,U_4929,U_4928,U_4927] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(U_4932,U_4929),U_4928))
      | ( ? [U_4924,U_4923] :
            ( ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(U_4932,U_4924),U_4923))
            & hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(U_4932,sK857(U_4932,U_4931,U_4930,U_4929,U_4928,U_4927)),sK858(U_4932,U_4931,U_4930,U_4929,U_4928,U_4927)))
            & hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK857(U_4932,U_4931,U_4930,U_4929,U_4928,U_4927)),sK858(U_4932,U_4931,U_4930,U_4929,U_4928,U_4927))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_4924),U_4923))),U_4927)) )
        & hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_4931),U_4930)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK857(U_4932,U_4931,U_4930,U_4929,U_4928,U_4927)),sK858(U_4932,U_4931,U_4930,U_4929,U_4928,U_4927)))),transi2024712006on_val(U_4927))) )
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(U_4932,U_4931),U_4930))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_4931),U_4930)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_4929),U_4928))),transi2024712006on_val(U_4927))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK858]),skolemize(U_4925,sK858(U_4932,U_4931,U_4930,U_4929,U_4928,U_4927))],[f_916_4]) ).

fof(f_916_6,plain,
    ! [U_4932,U_4931,U_4930,U_4929,U_4928,U_4927] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(U_4932,U_4929),U_4928))
      | ( ? [U_4923] :
            ( ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(U_4932,sK859(U_4932,U_4931,U_4930,U_4929,U_4928,U_4927)),U_4923))
            & hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(U_4932,sK857(U_4932,U_4931,U_4930,U_4929,U_4928,U_4927)),sK858(U_4932,U_4931,U_4930,U_4929,U_4928,U_4927)))
            & hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK857(U_4932,U_4931,U_4930,U_4929,U_4928,U_4927)),sK858(U_4932,U_4931,U_4930,U_4929,U_4928,U_4927))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK859(U_4932,U_4931,U_4930,U_4929,U_4928,U_4927)),U_4923))),U_4927)) )
        & hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_4931),U_4930)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK857(U_4932,U_4931,U_4930,U_4929,U_4928,U_4927)),sK858(U_4932,U_4931,U_4930,U_4929,U_4928,U_4927)))),transi2024712006on_val(U_4927))) )
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(U_4932,U_4931),U_4930))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_4931),U_4930)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_4929),U_4928))),transi2024712006on_val(U_4927))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK859]),skolemize(U_4924,sK859(U_4932,U_4931,U_4930,U_4929,U_4928,U_4927))],[f_916_5]) ).

fof(f_916_7,plain,
    ! [U_4932,U_4931,U_4930,U_4929,U_4928,U_4927] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(U_4932,U_4929),U_4928))
      | ( ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(U_4932,sK859(U_4932,U_4931,U_4930,U_4929,U_4928,U_4927)),sK860(U_4932,U_4931,U_4930,U_4929,U_4928,U_4927)))
        & hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(U_4932,sK857(U_4932,U_4931,U_4930,U_4929,U_4928,U_4927)),sK858(U_4932,U_4931,U_4930,U_4929,U_4928,U_4927)))
        & hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK857(U_4932,U_4931,U_4930,U_4929,U_4928,U_4927)),sK858(U_4932,U_4931,U_4930,U_4929,U_4928,U_4927))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK859(U_4932,U_4931,U_4930,U_4929,U_4928,U_4927)),sK860(U_4932,U_4931,U_4930,U_4929,U_4928,U_4927)))),U_4927))
        & hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_4931),U_4930)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK857(U_4932,U_4931,U_4930,U_4929,U_4928,U_4927)),sK858(U_4932,U_4931,U_4930,U_4929,U_4928,U_4927)))),transi2024712006on_val(U_4927))) )
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(U_4932,U_4931),U_4930))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_4931),U_4930)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_4929),U_4928))),transi2024712006on_val(U_4927))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK860]),skolemize(U_4923,sK860(U_4932,U_4931,U_4930,U_4929,U_4928,U_4927))],[f_916_6]) ).

cnf(f_916_8,plain,
    ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_4931),U_4930)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK857(U_4932,U_4931,U_4930,U_4929,U_4928,U_4927)),sK858(U_4932,U_4931,U_4930,U_4929,U_4928,U_4927)))),transi2024712006on_val(U_4927)))
    | hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(U_4932,U_4929),U_4928))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(U_4932,U_4931),U_4930))
    | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_4931),U_4930)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_4929),U_4928))),transi2024712006on_val(U_4927))) ),
    inference(clausify,[status(thm)],[f_916_7]) ).

cnf(f_916_9,plain,
    ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK857(U_4932,U_4931,U_4930,U_4929,U_4928,U_4927)),sK858(U_4932,U_4931,U_4930,U_4929,U_4928,U_4927))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK859(U_4932,U_4931,U_4930,U_4929,U_4928,U_4927)),sK860(U_4932,U_4931,U_4930,U_4929,U_4928,U_4927)))),U_4927))
    | hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(U_4932,U_4929),U_4928))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(U_4932,U_4931),U_4930))
    | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_4931),U_4930)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_4929),U_4928))),transi2024712006on_val(U_4927))) ),
    inference(clausify,[status(thm)],[f_916_7]) ).

cnf(f_916_10,plain,
    ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(U_4932,sK857(U_4932,U_4931,U_4930,U_4929,U_4928,U_4927)),sK858(U_4932,U_4931,U_4930,U_4929,U_4928,U_4927)))
    | hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(U_4932,U_4929),U_4928))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(U_4932,U_4931),U_4930))
    | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_4931),U_4930)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_4929),U_4928))),transi2024712006on_val(U_4927))) ),
    inference(clausify,[status(thm)],[f_916_7]) ).

cnf(f_916_11,plain,
    ( ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(U_4932,sK859(U_4932,U_4931,U_4930,U_4929,U_4928,U_4927)),sK860(U_4932,U_4931,U_4930,U_4929,U_4928,U_4927)))
    | hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(U_4932,U_4929),U_4928))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(U_4932,U_4931),U_4930))
    | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_4931),U_4930)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_4929),U_4928))),transi2024712006on_val(U_4927))) ),
    inference(clausify,[status(thm)],[f_916_7]) ).

fof(f_917_1,plain,
    ! [Pa,Ax,Ay,Bx,By,R_1] :
      ( hBOOL(hAPP_e544220455r_bool(hAPP_l214204733r_bool(Pa,Bx),By))
      | ? [A_1,B_2,Aa,Ba] :
          ( ~ hBOOL(hAPP_e544220455r_bool(hAPP_l214204733r_bool(Pa,Aa),Ba))
          & hBOOL(hAPP_e544220455r_bool(hAPP_l214204733r_bool(Pa,A_1),B_2))
          & hBOOL(hAPP_f595031537l_bool(hAPP_P1862681481l_bool(member1999287380t_char,hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,A_1),B_2)),hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,Aa),Ba))),R_1))
          & hBOOL(hAPP_f595031537l_bool(hAPP_P1862681481l_bool(member1999287380t_char,hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,Ax),Ay)),hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,A_1),B_2))),transi198989188t_char(R_1))) )
      | ~ hBOOL(hAPP_e544220455r_bool(hAPP_l214204733r_bool(Pa,Ax),Ay))
      | ~ hBOOL(hAPP_f595031537l_bool(hAPP_P1862681481l_bool(member1999287380t_char,hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,Ax),Ay)),hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,Bx),By))),transi198989188t_char(R_1))) ),
    inference(fof_nnf,[status(thm)],[fact_775_rtrancl__induct2]) ).

fof(f_917_2,plain,
    ! [U_4942,U_4941,U_4940,U_4939,U_4938,U_4937] :
      ( hBOOL(hAPP_e544220455r_bool(hAPP_l214204733r_bool(U_4942,U_4939),U_4938))
      | ? [U_4936,U_4935,U_4934,U_4933] :
          ( ~ hBOOL(hAPP_e544220455r_bool(hAPP_l214204733r_bool(U_4942,U_4934),U_4933))
          & hBOOL(hAPP_e544220455r_bool(hAPP_l214204733r_bool(U_4942,U_4936),U_4935))
          & hBOOL(hAPP_f595031537l_bool(hAPP_P1862681481l_bool(member1999287380t_char,hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_4936),U_4935)),hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_4934),U_4933))),U_4937))
          & hBOOL(hAPP_f595031537l_bool(hAPP_P1862681481l_bool(member1999287380t_char,hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_4941),U_4940)),hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_4936),U_4935))),transi198989188t_char(U_4937))) )
      | ~ hBOOL(hAPP_e544220455r_bool(hAPP_l214204733r_bool(U_4942,U_4941),U_4940))
      | ~ hBOOL(hAPP_f595031537l_bool(hAPP_P1862681481l_bool(member1999287380t_char,hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_4941),U_4940)),hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_4939),U_4938))),transi198989188t_char(U_4937))) ),
    inference(variable_rename,[status(thm)],[f_917_1]) ).

fof(f_917_3,plain,
    ! [U_4942,U_4941,U_4940,U_4939,U_4938,U_4937] :
      ( hBOOL(hAPP_e544220455r_bool(hAPP_l214204733r_bool(U_4942,U_4939),U_4938))
      | ? [U_4936,U_4935] :
          ( ? [U_4934,U_4933] :
              ( ~ hBOOL(hAPP_e544220455r_bool(hAPP_l214204733r_bool(U_4942,U_4934),U_4933))
              & hBOOL(hAPP_e544220455r_bool(hAPP_l214204733r_bool(U_4942,U_4936),U_4935))
              & hBOOL(hAPP_f595031537l_bool(hAPP_P1862681481l_bool(member1999287380t_char,hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_4936),U_4935)),hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_4934),U_4933))),U_4937)) )
          & hBOOL(hAPP_f595031537l_bool(hAPP_P1862681481l_bool(member1999287380t_char,hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_4941),U_4940)),hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_4936),U_4935))),transi198989188t_char(U_4937))) )
      | ~ hBOOL(hAPP_e544220455r_bool(hAPP_l214204733r_bool(U_4942,U_4941),U_4940))
      | ~ hBOOL(hAPP_f595031537l_bool(hAPP_P1862681481l_bool(member1999287380t_char,hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_4941),U_4940)),hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_4939),U_4938))),transi198989188t_char(U_4937))) ),
    inference(miniscope,[status(thm)],[f_917_2]) ).

fof(f_917_4,plain,
    ! [U_4942,U_4941,U_4940,U_4939,U_4938,U_4937] :
      ( hBOOL(hAPP_e544220455r_bool(hAPP_l214204733r_bool(U_4942,U_4939),U_4938))
      | ? [U_4935] :
          ( ? [U_4934,U_4933] :
              ( ~ hBOOL(hAPP_e544220455r_bool(hAPP_l214204733r_bool(U_4942,U_4934),U_4933))
              & hBOOL(hAPP_e544220455r_bool(hAPP_l214204733r_bool(U_4942,sK861(U_4942,U_4941,U_4940,U_4939,U_4938,U_4937)),U_4935))
              & hBOOL(hAPP_f595031537l_bool(hAPP_P1862681481l_bool(member1999287380t_char,hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,sK861(U_4942,U_4941,U_4940,U_4939,U_4938,U_4937)),U_4935)),hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_4934),U_4933))),U_4937)) )
          & hBOOL(hAPP_f595031537l_bool(hAPP_P1862681481l_bool(member1999287380t_char,hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_4941),U_4940)),hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,sK861(U_4942,U_4941,U_4940,U_4939,U_4938,U_4937)),U_4935))),transi198989188t_char(U_4937))) )
      | ~ hBOOL(hAPP_e544220455r_bool(hAPP_l214204733r_bool(U_4942,U_4941),U_4940))
      | ~ hBOOL(hAPP_f595031537l_bool(hAPP_P1862681481l_bool(member1999287380t_char,hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_4941),U_4940)),hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_4939),U_4938))),transi198989188t_char(U_4937))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK861]),skolemize(U_4936,sK861(U_4942,U_4941,U_4940,U_4939,U_4938,U_4937))],[f_917_3]) ).

fof(f_917_5,plain,
    ! [U_4942,U_4941,U_4940,U_4939,U_4938,U_4937] :
      ( hBOOL(hAPP_e544220455r_bool(hAPP_l214204733r_bool(U_4942,U_4939),U_4938))
      | ( ? [U_4934,U_4933] :
            ( ~ hBOOL(hAPP_e544220455r_bool(hAPP_l214204733r_bool(U_4942,U_4934),U_4933))
            & hBOOL(hAPP_e544220455r_bool(hAPP_l214204733r_bool(U_4942,sK861(U_4942,U_4941,U_4940,U_4939,U_4938,U_4937)),sK862(U_4942,U_4941,U_4940,U_4939,U_4938,U_4937)))
            & hBOOL(hAPP_f595031537l_bool(hAPP_P1862681481l_bool(member1999287380t_char,hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,sK861(U_4942,U_4941,U_4940,U_4939,U_4938,U_4937)),sK862(U_4942,U_4941,U_4940,U_4939,U_4938,U_4937))),hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_4934),U_4933))),U_4937)) )
        & hBOOL(hAPP_f595031537l_bool(hAPP_P1862681481l_bool(member1999287380t_char,hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_4941),U_4940)),hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,sK861(U_4942,U_4941,U_4940,U_4939,U_4938,U_4937)),sK862(U_4942,U_4941,U_4940,U_4939,U_4938,U_4937)))),transi198989188t_char(U_4937))) )
      | ~ hBOOL(hAPP_e544220455r_bool(hAPP_l214204733r_bool(U_4942,U_4941),U_4940))
      | ~ hBOOL(hAPP_f595031537l_bool(hAPP_P1862681481l_bool(member1999287380t_char,hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_4941),U_4940)),hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_4939),U_4938))),transi198989188t_char(U_4937))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK862]),skolemize(U_4935,sK862(U_4942,U_4941,U_4940,U_4939,U_4938,U_4937))],[f_917_4]) ).

fof(f_917_6,plain,
    ! [U_4942,U_4941,U_4940,U_4939,U_4938,U_4937] :
      ( hBOOL(hAPP_e544220455r_bool(hAPP_l214204733r_bool(U_4942,U_4939),U_4938))
      | ( ? [U_4933] :
            ( ~ hBOOL(hAPP_e544220455r_bool(hAPP_l214204733r_bool(U_4942,sK863(U_4942,U_4941,U_4940,U_4939,U_4938,U_4937)),U_4933))
            & hBOOL(hAPP_e544220455r_bool(hAPP_l214204733r_bool(U_4942,sK861(U_4942,U_4941,U_4940,U_4939,U_4938,U_4937)),sK862(U_4942,U_4941,U_4940,U_4939,U_4938,U_4937)))
            & hBOOL(hAPP_f595031537l_bool(hAPP_P1862681481l_bool(member1999287380t_char,hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,sK861(U_4942,U_4941,U_4940,U_4939,U_4938,U_4937)),sK862(U_4942,U_4941,U_4940,U_4939,U_4938,U_4937))),hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,sK863(U_4942,U_4941,U_4940,U_4939,U_4938,U_4937)),U_4933))),U_4937)) )
        & hBOOL(hAPP_f595031537l_bool(hAPP_P1862681481l_bool(member1999287380t_char,hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_4941),U_4940)),hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,sK861(U_4942,U_4941,U_4940,U_4939,U_4938,U_4937)),sK862(U_4942,U_4941,U_4940,U_4939,U_4938,U_4937)))),transi198989188t_char(U_4937))) )
      | ~ hBOOL(hAPP_e544220455r_bool(hAPP_l214204733r_bool(U_4942,U_4941),U_4940))
      | ~ hBOOL(hAPP_f595031537l_bool(hAPP_P1862681481l_bool(member1999287380t_char,hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_4941),U_4940)),hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_4939),U_4938))),transi198989188t_char(U_4937))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK863]),skolemize(U_4934,sK863(U_4942,U_4941,U_4940,U_4939,U_4938,U_4937))],[f_917_5]) ).

fof(f_917_7,plain,
    ! [U_4942,U_4941,U_4940,U_4939,U_4938,U_4937] :
      ( hBOOL(hAPP_e544220455r_bool(hAPP_l214204733r_bool(U_4942,U_4939),U_4938))
      | ( ~ hBOOL(hAPP_e544220455r_bool(hAPP_l214204733r_bool(U_4942,sK863(U_4942,U_4941,U_4940,U_4939,U_4938,U_4937)),sK864(U_4942,U_4941,U_4940,U_4939,U_4938,U_4937)))
        & hBOOL(hAPP_e544220455r_bool(hAPP_l214204733r_bool(U_4942,sK861(U_4942,U_4941,U_4940,U_4939,U_4938,U_4937)),sK862(U_4942,U_4941,U_4940,U_4939,U_4938,U_4937)))
        & hBOOL(hAPP_f595031537l_bool(hAPP_P1862681481l_bool(member1999287380t_char,hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,sK861(U_4942,U_4941,U_4940,U_4939,U_4938,U_4937)),sK862(U_4942,U_4941,U_4940,U_4939,U_4938,U_4937))),hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,sK863(U_4942,U_4941,U_4940,U_4939,U_4938,U_4937)),sK864(U_4942,U_4941,U_4940,U_4939,U_4938,U_4937)))),U_4937))
        & hBOOL(hAPP_f595031537l_bool(hAPP_P1862681481l_bool(member1999287380t_char,hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_4941),U_4940)),hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,sK861(U_4942,U_4941,U_4940,U_4939,U_4938,U_4937)),sK862(U_4942,U_4941,U_4940,U_4939,U_4938,U_4937)))),transi198989188t_char(U_4937))) )
      | ~ hBOOL(hAPP_e544220455r_bool(hAPP_l214204733r_bool(U_4942,U_4941),U_4940))
      | ~ hBOOL(hAPP_f595031537l_bool(hAPP_P1862681481l_bool(member1999287380t_char,hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_4941),U_4940)),hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_4939),U_4938))),transi198989188t_char(U_4937))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK864]),skolemize(U_4933,sK864(U_4942,U_4941,U_4940,U_4939,U_4938,U_4937))],[f_917_6]) ).

cnf(f_917_8,plain,
    ( hBOOL(hAPP_f595031537l_bool(hAPP_P1862681481l_bool(member1999287380t_char,hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_4941),U_4940)),hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,sK861(U_4942,U_4941,U_4940,U_4939,U_4938,U_4937)),sK862(U_4942,U_4941,U_4940,U_4939,U_4938,U_4937)))),transi198989188t_char(U_4937)))
    | hBOOL(hAPP_e544220455r_bool(hAPP_l214204733r_bool(U_4942,U_4939),U_4938))
    | ~ hBOOL(hAPP_e544220455r_bool(hAPP_l214204733r_bool(U_4942,U_4941),U_4940))
    | ~ hBOOL(hAPP_f595031537l_bool(hAPP_P1862681481l_bool(member1999287380t_char,hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_4941),U_4940)),hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_4939),U_4938))),transi198989188t_char(U_4937))) ),
    inference(clausify,[status(thm)],[f_917_7]) ).

cnf(f_917_9,plain,
    ( hBOOL(hAPP_f595031537l_bool(hAPP_P1862681481l_bool(member1999287380t_char,hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,sK861(U_4942,U_4941,U_4940,U_4939,U_4938,U_4937)),sK862(U_4942,U_4941,U_4940,U_4939,U_4938,U_4937))),hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,sK863(U_4942,U_4941,U_4940,U_4939,U_4938,U_4937)),sK864(U_4942,U_4941,U_4940,U_4939,U_4938,U_4937)))),U_4937))
    | hBOOL(hAPP_e544220455r_bool(hAPP_l214204733r_bool(U_4942,U_4939),U_4938))
    | ~ hBOOL(hAPP_e544220455r_bool(hAPP_l214204733r_bool(U_4942,U_4941),U_4940))
    | ~ hBOOL(hAPP_f595031537l_bool(hAPP_P1862681481l_bool(member1999287380t_char,hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_4941),U_4940)),hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_4939),U_4938))),transi198989188t_char(U_4937))) ),
    inference(clausify,[status(thm)],[f_917_7]) ).

cnf(f_917_10,plain,
    ( hBOOL(hAPP_e544220455r_bool(hAPP_l214204733r_bool(U_4942,sK861(U_4942,U_4941,U_4940,U_4939,U_4938,U_4937)),sK862(U_4942,U_4941,U_4940,U_4939,U_4938,U_4937)))
    | hBOOL(hAPP_e544220455r_bool(hAPP_l214204733r_bool(U_4942,U_4939),U_4938))
    | ~ hBOOL(hAPP_e544220455r_bool(hAPP_l214204733r_bool(U_4942,U_4941),U_4940))
    | ~ hBOOL(hAPP_f595031537l_bool(hAPP_P1862681481l_bool(member1999287380t_char,hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_4941),U_4940)),hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_4939),U_4938))),transi198989188t_char(U_4937))) ),
    inference(clausify,[status(thm)],[f_917_7]) ).

cnf(f_917_11,plain,
    ( ~ hBOOL(hAPP_e544220455r_bool(hAPP_l214204733r_bool(U_4942,sK863(U_4942,U_4941,U_4940,U_4939,U_4938,U_4937)),sK864(U_4942,U_4941,U_4940,U_4939,U_4938,U_4937)))
    | hBOOL(hAPP_e544220455r_bool(hAPP_l214204733r_bool(U_4942,U_4939),U_4938))
    | ~ hBOOL(hAPP_e544220455r_bool(hAPP_l214204733r_bool(U_4942,U_4941),U_4940))
    | ~ hBOOL(hAPP_f595031537l_bool(hAPP_P1862681481l_bool(member1999287380t_char,hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_4941),U_4940)),hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_4939),U_4938))),transi198989188t_char(U_4937))) ),
    inference(clausify,[status(thm)],[f_917_7]) ).

fof(f_918_1,plain,
    ! [Pa,Ax,Ay,Bx,By,R_1] :
      ( hBOOL(hAPP_l902158906r_bool(hAPP_l24694616r_bool(Pa,Bx),By))
      | ? [A_1,B_2,Aa,Ba] :
          ( ~ hBOOL(hAPP_l902158906r_bool(hAPP_l24694616r_bool(Pa,Aa),Ba))
          & hBOOL(hAPP_l902158906r_bool(hAPP_l24694616r_bool(Pa,A_1),B_2))
          & hBOOL(hAPP_f126445617l_bool(hAPP_P1313790473l_bool(member1551446420t_char,hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,A_1),B_2)),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,Aa),Ba))),R_1))
          & hBOOL(hAPP_f126445617l_bool(hAPP_P1313790473l_bool(member1551446420t_char,hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,Ax),Ay)),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,A_1),B_2))),transi772168185t_char(R_1))) )
      | ~ hBOOL(hAPP_l902158906r_bool(hAPP_l24694616r_bool(Pa,Ax),Ay))
      | ~ hBOOL(hAPP_f126445617l_bool(hAPP_P1313790473l_bool(member1551446420t_char,hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,Ax),Ay)),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,Bx),By))),transi772168185t_char(R_1))) ),
    inference(fof_nnf,[status(thm)],[fact_776_rtrancl__induct2]) ).

fof(f_918_2,plain,
    ! [U_4952,U_4951,U_4950,U_4949,U_4948,U_4947] :
      ( hBOOL(hAPP_l902158906r_bool(hAPP_l24694616r_bool(U_4952,U_4949),U_4948))
      | ? [U_4946,U_4945,U_4944,U_4943] :
          ( ~ hBOOL(hAPP_l902158906r_bool(hAPP_l24694616r_bool(U_4952,U_4944),U_4943))
          & hBOOL(hAPP_l902158906r_bool(hAPP_l24694616r_bool(U_4952,U_4946),U_4945))
          & hBOOL(hAPP_f126445617l_bool(hAPP_P1313790473l_bool(member1551446420t_char,hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_4946),U_4945)),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_4944),U_4943))),U_4947))
          & hBOOL(hAPP_f126445617l_bool(hAPP_P1313790473l_bool(member1551446420t_char,hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_4951),U_4950)),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_4946),U_4945))),transi772168185t_char(U_4947))) )
      | ~ hBOOL(hAPP_l902158906r_bool(hAPP_l24694616r_bool(U_4952,U_4951),U_4950))
      | ~ hBOOL(hAPP_f126445617l_bool(hAPP_P1313790473l_bool(member1551446420t_char,hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_4951),U_4950)),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_4949),U_4948))),transi772168185t_char(U_4947))) ),
    inference(variable_rename,[status(thm)],[f_918_1]) ).

fof(f_918_3,plain,
    ! [U_4952,U_4951,U_4950,U_4949,U_4948,U_4947] :
      ( hBOOL(hAPP_l902158906r_bool(hAPP_l24694616r_bool(U_4952,U_4949),U_4948))
      | ? [U_4946,U_4945] :
          ( ? [U_4944,U_4943] :
              ( ~ hBOOL(hAPP_l902158906r_bool(hAPP_l24694616r_bool(U_4952,U_4944),U_4943))
              & hBOOL(hAPP_l902158906r_bool(hAPP_l24694616r_bool(U_4952,U_4946),U_4945))
              & hBOOL(hAPP_f126445617l_bool(hAPP_P1313790473l_bool(member1551446420t_char,hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_4946),U_4945)),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_4944),U_4943))),U_4947)) )
          & hBOOL(hAPP_f126445617l_bool(hAPP_P1313790473l_bool(member1551446420t_char,hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_4951),U_4950)),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_4946),U_4945))),transi772168185t_char(U_4947))) )
      | ~ hBOOL(hAPP_l902158906r_bool(hAPP_l24694616r_bool(U_4952,U_4951),U_4950))
      | ~ hBOOL(hAPP_f126445617l_bool(hAPP_P1313790473l_bool(member1551446420t_char,hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_4951),U_4950)),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_4949),U_4948))),transi772168185t_char(U_4947))) ),
    inference(miniscope,[status(thm)],[f_918_2]) ).

fof(f_918_4,plain,
    ! [U_4952,U_4951,U_4950,U_4949,U_4948,U_4947] :
      ( hBOOL(hAPP_l902158906r_bool(hAPP_l24694616r_bool(U_4952,U_4949),U_4948))
      | ? [U_4945] :
          ( ? [U_4944,U_4943] :
              ( ~ hBOOL(hAPP_l902158906r_bool(hAPP_l24694616r_bool(U_4952,U_4944),U_4943))
              & hBOOL(hAPP_l902158906r_bool(hAPP_l24694616r_bool(U_4952,sK865(U_4952,U_4951,U_4950,U_4949,U_4948,U_4947)),U_4945))
              & hBOOL(hAPP_f126445617l_bool(hAPP_P1313790473l_bool(member1551446420t_char,hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,sK865(U_4952,U_4951,U_4950,U_4949,U_4948,U_4947)),U_4945)),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_4944),U_4943))),U_4947)) )
          & hBOOL(hAPP_f126445617l_bool(hAPP_P1313790473l_bool(member1551446420t_char,hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_4951),U_4950)),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,sK865(U_4952,U_4951,U_4950,U_4949,U_4948,U_4947)),U_4945))),transi772168185t_char(U_4947))) )
      | ~ hBOOL(hAPP_l902158906r_bool(hAPP_l24694616r_bool(U_4952,U_4951),U_4950))
      | ~ hBOOL(hAPP_f126445617l_bool(hAPP_P1313790473l_bool(member1551446420t_char,hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_4951),U_4950)),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_4949),U_4948))),transi772168185t_char(U_4947))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK865]),skolemize(U_4946,sK865(U_4952,U_4951,U_4950,U_4949,U_4948,U_4947))],[f_918_3]) ).

fof(f_918_5,plain,
    ! [U_4952,U_4951,U_4950,U_4949,U_4948,U_4947] :
      ( hBOOL(hAPP_l902158906r_bool(hAPP_l24694616r_bool(U_4952,U_4949),U_4948))
      | ( ? [U_4944,U_4943] :
            ( ~ hBOOL(hAPP_l902158906r_bool(hAPP_l24694616r_bool(U_4952,U_4944),U_4943))
            & hBOOL(hAPP_l902158906r_bool(hAPP_l24694616r_bool(U_4952,sK865(U_4952,U_4951,U_4950,U_4949,U_4948,U_4947)),sK866(U_4952,U_4951,U_4950,U_4949,U_4948,U_4947)))
            & hBOOL(hAPP_f126445617l_bool(hAPP_P1313790473l_bool(member1551446420t_char,hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,sK865(U_4952,U_4951,U_4950,U_4949,U_4948,U_4947)),sK866(U_4952,U_4951,U_4950,U_4949,U_4948,U_4947))),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_4944),U_4943))),U_4947)) )
        & hBOOL(hAPP_f126445617l_bool(hAPP_P1313790473l_bool(member1551446420t_char,hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_4951),U_4950)),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,sK865(U_4952,U_4951,U_4950,U_4949,U_4948,U_4947)),sK866(U_4952,U_4951,U_4950,U_4949,U_4948,U_4947)))),transi772168185t_char(U_4947))) )
      | ~ hBOOL(hAPP_l902158906r_bool(hAPP_l24694616r_bool(U_4952,U_4951),U_4950))
      | ~ hBOOL(hAPP_f126445617l_bool(hAPP_P1313790473l_bool(member1551446420t_char,hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_4951),U_4950)),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_4949),U_4948))),transi772168185t_char(U_4947))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK866]),skolemize(U_4945,sK866(U_4952,U_4951,U_4950,U_4949,U_4948,U_4947))],[f_918_4]) ).

fof(f_918_6,plain,
    ! [U_4952,U_4951,U_4950,U_4949,U_4948,U_4947] :
      ( hBOOL(hAPP_l902158906r_bool(hAPP_l24694616r_bool(U_4952,U_4949),U_4948))
      | ( ? [U_4943] :
            ( ~ hBOOL(hAPP_l902158906r_bool(hAPP_l24694616r_bool(U_4952,sK867(U_4952,U_4951,U_4950,U_4949,U_4948,U_4947)),U_4943))
            & hBOOL(hAPP_l902158906r_bool(hAPP_l24694616r_bool(U_4952,sK865(U_4952,U_4951,U_4950,U_4949,U_4948,U_4947)),sK866(U_4952,U_4951,U_4950,U_4949,U_4948,U_4947)))
            & hBOOL(hAPP_f126445617l_bool(hAPP_P1313790473l_bool(member1551446420t_char,hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,sK865(U_4952,U_4951,U_4950,U_4949,U_4948,U_4947)),sK866(U_4952,U_4951,U_4950,U_4949,U_4948,U_4947))),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,sK867(U_4952,U_4951,U_4950,U_4949,U_4948,U_4947)),U_4943))),U_4947)) )
        & hBOOL(hAPP_f126445617l_bool(hAPP_P1313790473l_bool(member1551446420t_char,hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_4951),U_4950)),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,sK865(U_4952,U_4951,U_4950,U_4949,U_4948,U_4947)),sK866(U_4952,U_4951,U_4950,U_4949,U_4948,U_4947)))),transi772168185t_char(U_4947))) )
      | ~ hBOOL(hAPP_l902158906r_bool(hAPP_l24694616r_bool(U_4952,U_4951),U_4950))
      | ~ hBOOL(hAPP_f126445617l_bool(hAPP_P1313790473l_bool(member1551446420t_char,hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_4951),U_4950)),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_4949),U_4948))),transi772168185t_char(U_4947))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK867]),skolemize(U_4944,sK867(U_4952,U_4951,U_4950,U_4949,U_4948,U_4947))],[f_918_5]) ).

fof(f_918_7,plain,
    ! [U_4952,U_4951,U_4950,U_4949,U_4948,U_4947] :
      ( hBOOL(hAPP_l902158906r_bool(hAPP_l24694616r_bool(U_4952,U_4949),U_4948))
      | ( ~ hBOOL(hAPP_l902158906r_bool(hAPP_l24694616r_bool(U_4952,sK867(U_4952,U_4951,U_4950,U_4949,U_4948,U_4947)),sK868(U_4952,U_4951,U_4950,U_4949,U_4948,U_4947)))
        & hBOOL(hAPP_l902158906r_bool(hAPP_l24694616r_bool(U_4952,sK865(U_4952,U_4951,U_4950,U_4949,U_4948,U_4947)),sK866(U_4952,U_4951,U_4950,U_4949,U_4948,U_4947)))
        & hBOOL(hAPP_f126445617l_bool(hAPP_P1313790473l_bool(member1551446420t_char,hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,sK865(U_4952,U_4951,U_4950,U_4949,U_4948,U_4947)),sK866(U_4952,U_4951,U_4950,U_4949,U_4948,U_4947))),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,sK867(U_4952,U_4951,U_4950,U_4949,U_4948,U_4947)),sK868(U_4952,U_4951,U_4950,U_4949,U_4948,U_4947)))),U_4947))
        & hBOOL(hAPP_f126445617l_bool(hAPP_P1313790473l_bool(member1551446420t_char,hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_4951),U_4950)),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,sK865(U_4952,U_4951,U_4950,U_4949,U_4948,U_4947)),sK866(U_4952,U_4951,U_4950,U_4949,U_4948,U_4947)))),transi772168185t_char(U_4947))) )
      | ~ hBOOL(hAPP_l902158906r_bool(hAPP_l24694616r_bool(U_4952,U_4951),U_4950))
      | ~ hBOOL(hAPP_f126445617l_bool(hAPP_P1313790473l_bool(member1551446420t_char,hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_4951),U_4950)),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_4949),U_4948))),transi772168185t_char(U_4947))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK868]),skolemize(U_4943,sK868(U_4952,U_4951,U_4950,U_4949,U_4948,U_4947))],[f_918_6]) ).

cnf(f_918_8,plain,
    ( hBOOL(hAPP_f126445617l_bool(hAPP_P1313790473l_bool(member1551446420t_char,hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_4951),U_4950)),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,sK865(U_4952,U_4951,U_4950,U_4949,U_4948,U_4947)),sK866(U_4952,U_4951,U_4950,U_4949,U_4948,U_4947)))),transi772168185t_char(U_4947)))
    | hBOOL(hAPP_l902158906r_bool(hAPP_l24694616r_bool(U_4952,U_4949),U_4948))
    | ~ hBOOL(hAPP_l902158906r_bool(hAPP_l24694616r_bool(U_4952,U_4951),U_4950))
    | ~ hBOOL(hAPP_f126445617l_bool(hAPP_P1313790473l_bool(member1551446420t_char,hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_4951),U_4950)),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_4949),U_4948))),transi772168185t_char(U_4947))) ),
    inference(clausify,[status(thm)],[f_918_7]) ).

cnf(f_918_9,plain,
    ( hBOOL(hAPP_f126445617l_bool(hAPP_P1313790473l_bool(member1551446420t_char,hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,sK865(U_4952,U_4951,U_4950,U_4949,U_4948,U_4947)),sK866(U_4952,U_4951,U_4950,U_4949,U_4948,U_4947))),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,sK867(U_4952,U_4951,U_4950,U_4949,U_4948,U_4947)),sK868(U_4952,U_4951,U_4950,U_4949,U_4948,U_4947)))),U_4947))
    | hBOOL(hAPP_l902158906r_bool(hAPP_l24694616r_bool(U_4952,U_4949),U_4948))
    | ~ hBOOL(hAPP_l902158906r_bool(hAPP_l24694616r_bool(U_4952,U_4951),U_4950))
    | ~ hBOOL(hAPP_f126445617l_bool(hAPP_P1313790473l_bool(member1551446420t_char,hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_4951),U_4950)),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_4949),U_4948))),transi772168185t_char(U_4947))) ),
    inference(clausify,[status(thm)],[f_918_7]) ).

cnf(f_918_10,plain,
    ( hBOOL(hAPP_l902158906r_bool(hAPP_l24694616r_bool(U_4952,sK865(U_4952,U_4951,U_4950,U_4949,U_4948,U_4947)),sK866(U_4952,U_4951,U_4950,U_4949,U_4948,U_4947)))
    | hBOOL(hAPP_l902158906r_bool(hAPP_l24694616r_bool(U_4952,U_4949),U_4948))
    | ~ hBOOL(hAPP_l902158906r_bool(hAPP_l24694616r_bool(U_4952,U_4951),U_4950))
    | ~ hBOOL(hAPP_f126445617l_bool(hAPP_P1313790473l_bool(member1551446420t_char,hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_4951),U_4950)),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_4949),U_4948))),transi772168185t_char(U_4947))) ),
    inference(clausify,[status(thm)],[f_918_7]) ).

cnf(f_918_11,plain,
    ( ~ hBOOL(hAPP_l902158906r_bool(hAPP_l24694616r_bool(U_4952,sK867(U_4952,U_4951,U_4950,U_4949,U_4948,U_4947)),sK868(U_4952,U_4951,U_4950,U_4949,U_4948,U_4947)))
    | hBOOL(hAPP_l902158906r_bool(hAPP_l24694616r_bool(U_4952,U_4949),U_4948))
    | ~ hBOOL(hAPP_l902158906r_bool(hAPP_l24694616r_bool(U_4952,U_4951),U_4950))
    | ~ hBOOL(hAPP_f126445617l_bool(hAPP_P1313790473l_bool(member1551446420t_char,hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_4951),U_4950)),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_4949),U_4948))),transi772168185t_char(U_4947))) ),
    inference(clausify,[status(thm)],[f_918_7]) ).

fof(f_919_1,plain,
    ! [Pa,Ax,Ay,Bx,By,R_1] :
      ( hBOOL(hAPP_P828904212r_bool(hAPP_l1342015621r_bool(Pa,Bx),By))
      | ? [A_1,B_2,Aa,Ba] :
          ( ~ hBOOL(hAPP_P828904212r_bool(hAPP_l1342015621r_bool(Pa,Aa),Ba))
          & hBOOL(hAPP_P828904212r_bool(hAPP_l1342015621r_bool(Pa,A_1),B_2))
          & hBOOL(hAPP_f272179441l_bool(hAPP_P396425609l_bool(member1607118676t_char,hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,A_1),B_2)),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,Aa),Ba))),R_1))
          & hBOOL(hAPP_f272179441l_bool(hAPP_P396425609l_bool(member1607118676t_char,hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,Ax),Ay)),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,A_1),B_2))),transi2005320128t_char(R_1))) )
      | ~ hBOOL(hAPP_P828904212r_bool(hAPP_l1342015621r_bool(Pa,Ax),Ay))
      | ~ hBOOL(hAPP_f272179441l_bool(hAPP_P396425609l_bool(member1607118676t_char,hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,Ax),Ay)),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,Bx),By))),transi2005320128t_char(R_1))) ),
    inference(fof_nnf,[status(thm)],[fact_777_rtrancl__induct2]) ).

fof(f_919_2,plain,
    ! [U_4962,U_4961,U_4960,U_4959,U_4958,U_4957] :
      ( hBOOL(hAPP_P828904212r_bool(hAPP_l1342015621r_bool(U_4962,U_4959),U_4958))
      | ? [U_4956,U_4955,U_4954,U_4953] :
          ( ~ hBOOL(hAPP_P828904212r_bool(hAPP_l1342015621r_bool(U_4962,U_4954),U_4953))
          & hBOOL(hAPP_P828904212r_bool(hAPP_l1342015621r_bool(U_4962,U_4956),U_4955))
          & hBOOL(hAPP_f272179441l_bool(hAPP_P396425609l_bool(member1607118676t_char,hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_4956),U_4955)),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_4954),U_4953))),U_4957))
          & hBOOL(hAPP_f272179441l_bool(hAPP_P396425609l_bool(member1607118676t_char,hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_4961),U_4960)),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_4956),U_4955))),transi2005320128t_char(U_4957))) )
      | ~ hBOOL(hAPP_P828904212r_bool(hAPP_l1342015621r_bool(U_4962,U_4961),U_4960))
      | ~ hBOOL(hAPP_f272179441l_bool(hAPP_P396425609l_bool(member1607118676t_char,hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_4961),U_4960)),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_4959),U_4958))),transi2005320128t_char(U_4957))) ),
    inference(variable_rename,[status(thm)],[f_919_1]) ).

fof(f_919_3,plain,
    ! [U_4962,U_4961,U_4960,U_4959,U_4958,U_4957] :
      ( hBOOL(hAPP_P828904212r_bool(hAPP_l1342015621r_bool(U_4962,U_4959),U_4958))
      | ? [U_4956,U_4955] :
          ( ? [U_4954,U_4953] :
              ( ~ hBOOL(hAPP_P828904212r_bool(hAPP_l1342015621r_bool(U_4962,U_4954),U_4953))
              & hBOOL(hAPP_P828904212r_bool(hAPP_l1342015621r_bool(U_4962,U_4956),U_4955))
              & hBOOL(hAPP_f272179441l_bool(hAPP_P396425609l_bool(member1607118676t_char,hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_4956),U_4955)),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_4954),U_4953))),U_4957)) )
          & hBOOL(hAPP_f272179441l_bool(hAPP_P396425609l_bool(member1607118676t_char,hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_4961),U_4960)),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_4956),U_4955))),transi2005320128t_char(U_4957))) )
      | ~ hBOOL(hAPP_P828904212r_bool(hAPP_l1342015621r_bool(U_4962,U_4961),U_4960))
      | ~ hBOOL(hAPP_f272179441l_bool(hAPP_P396425609l_bool(member1607118676t_char,hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_4961),U_4960)),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_4959),U_4958))),transi2005320128t_char(U_4957))) ),
    inference(miniscope,[status(thm)],[f_919_2]) ).

fof(f_919_4,plain,
    ! [U_4962,U_4961,U_4960,U_4959,U_4958,U_4957] :
      ( hBOOL(hAPP_P828904212r_bool(hAPP_l1342015621r_bool(U_4962,U_4959),U_4958))
      | ? [U_4955] :
          ( ? [U_4954,U_4953] :
              ( ~ hBOOL(hAPP_P828904212r_bool(hAPP_l1342015621r_bool(U_4962,U_4954),U_4953))
              & hBOOL(hAPP_P828904212r_bool(hAPP_l1342015621r_bool(U_4962,sK869(U_4962,U_4961,U_4960,U_4959,U_4958,U_4957)),U_4955))
              & hBOOL(hAPP_f272179441l_bool(hAPP_P396425609l_bool(member1607118676t_char,hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,sK869(U_4962,U_4961,U_4960,U_4959,U_4958,U_4957)),U_4955)),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_4954),U_4953))),U_4957)) )
          & hBOOL(hAPP_f272179441l_bool(hAPP_P396425609l_bool(member1607118676t_char,hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_4961),U_4960)),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,sK869(U_4962,U_4961,U_4960,U_4959,U_4958,U_4957)),U_4955))),transi2005320128t_char(U_4957))) )
      | ~ hBOOL(hAPP_P828904212r_bool(hAPP_l1342015621r_bool(U_4962,U_4961),U_4960))
      | ~ hBOOL(hAPP_f272179441l_bool(hAPP_P396425609l_bool(member1607118676t_char,hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_4961),U_4960)),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_4959),U_4958))),transi2005320128t_char(U_4957))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK869]),skolemize(U_4956,sK869(U_4962,U_4961,U_4960,U_4959,U_4958,U_4957))],[f_919_3]) ).

fof(f_919_5,plain,
    ! [U_4962,U_4961,U_4960,U_4959,U_4958,U_4957] :
      ( hBOOL(hAPP_P828904212r_bool(hAPP_l1342015621r_bool(U_4962,U_4959),U_4958))
      | ( ? [U_4954,U_4953] :
            ( ~ hBOOL(hAPP_P828904212r_bool(hAPP_l1342015621r_bool(U_4962,U_4954),U_4953))
            & hBOOL(hAPP_P828904212r_bool(hAPP_l1342015621r_bool(U_4962,sK869(U_4962,U_4961,U_4960,U_4959,U_4958,U_4957)),sK870(U_4962,U_4961,U_4960,U_4959,U_4958,U_4957)))
            & hBOOL(hAPP_f272179441l_bool(hAPP_P396425609l_bool(member1607118676t_char,hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,sK869(U_4962,U_4961,U_4960,U_4959,U_4958,U_4957)),sK870(U_4962,U_4961,U_4960,U_4959,U_4958,U_4957))),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_4954),U_4953))),U_4957)) )
        & hBOOL(hAPP_f272179441l_bool(hAPP_P396425609l_bool(member1607118676t_char,hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_4961),U_4960)),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,sK869(U_4962,U_4961,U_4960,U_4959,U_4958,U_4957)),sK870(U_4962,U_4961,U_4960,U_4959,U_4958,U_4957)))),transi2005320128t_char(U_4957))) )
      | ~ hBOOL(hAPP_P828904212r_bool(hAPP_l1342015621r_bool(U_4962,U_4961),U_4960))
      | ~ hBOOL(hAPP_f272179441l_bool(hAPP_P396425609l_bool(member1607118676t_char,hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_4961),U_4960)),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_4959),U_4958))),transi2005320128t_char(U_4957))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK870]),skolemize(U_4955,sK870(U_4962,U_4961,U_4960,U_4959,U_4958,U_4957))],[f_919_4]) ).

fof(f_919_6,plain,
    ! [U_4962,U_4961,U_4960,U_4959,U_4958,U_4957] :
      ( hBOOL(hAPP_P828904212r_bool(hAPP_l1342015621r_bool(U_4962,U_4959),U_4958))
      | ( ? [U_4953] :
            ( ~ hBOOL(hAPP_P828904212r_bool(hAPP_l1342015621r_bool(U_4962,sK871(U_4962,U_4961,U_4960,U_4959,U_4958,U_4957)),U_4953))
            & hBOOL(hAPP_P828904212r_bool(hAPP_l1342015621r_bool(U_4962,sK869(U_4962,U_4961,U_4960,U_4959,U_4958,U_4957)),sK870(U_4962,U_4961,U_4960,U_4959,U_4958,U_4957)))
            & hBOOL(hAPP_f272179441l_bool(hAPP_P396425609l_bool(member1607118676t_char,hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,sK869(U_4962,U_4961,U_4960,U_4959,U_4958,U_4957)),sK870(U_4962,U_4961,U_4960,U_4959,U_4958,U_4957))),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,sK871(U_4962,U_4961,U_4960,U_4959,U_4958,U_4957)),U_4953))),U_4957)) )
        & hBOOL(hAPP_f272179441l_bool(hAPP_P396425609l_bool(member1607118676t_char,hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_4961),U_4960)),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,sK869(U_4962,U_4961,U_4960,U_4959,U_4958,U_4957)),sK870(U_4962,U_4961,U_4960,U_4959,U_4958,U_4957)))),transi2005320128t_char(U_4957))) )
      | ~ hBOOL(hAPP_P828904212r_bool(hAPP_l1342015621r_bool(U_4962,U_4961),U_4960))
      | ~ hBOOL(hAPP_f272179441l_bool(hAPP_P396425609l_bool(member1607118676t_char,hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_4961),U_4960)),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_4959),U_4958))),transi2005320128t_char(U_4957))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK871]),skolemize(U_4954,sK871(U_4962,U_4961,U_4960,U_4959,U_4958,U_4957))],[f_919_5]) ).

fof(f_919_7,plain,
    ! [U_4962,U_4961,U_4960,U_4959,U_4958,U_4957] :
      ( hBOOL(hAPP_P828904212r_bool(hAPP_l1342015621r_bool(U_4962,U_4959),U_4958))
      | ( ~ hBOOL(hAPP_P828904212r_bool(hAPP_l1342015621r_bool(U_4962,sK871(U_4962,U_4961,U_4960,U_4959,U_4958,U_4957)),sK872(U_4962,U_4961,U_4960,U_4959,U_4958,U_4957)))
        & hBOOL(hAPP_P828904212r_bool(hAPP_l1342015621r_bool(U_4962,sK869(U_4962,U_4961,U_4960,U_4959,U_4958,U_4957)),sK870(U_4962,U_4961,U_4960,U_4959,U_4958,U_4957)))
        & hBOOL(hAPP_f272179441l_bool(hAPP_P396425609l_bool(member1607118676t_char,hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,sK869(U_4962,U_4961,U_4960,U_4959,U_4958,U_4957)),sK870(U_4962,U_4961,U_4960,U_4959,U_4958,U_4957))),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,sK871(U_4962,U_4961,U_4960,U_4959,U_4958,U_4957)),sK872(U_4962,U_4961,U_4960,U_4959,U_4958,U_4957)))),U_4957))
        & hBOOL(hAPP_f272179441l_bool(hAPP_P396425609l_bool(member1607118676t_char,hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_4961),U_4960)),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,sK869(U_4962,U_4961,U_4960,U_4959,U_4958,U_4957)),sK870(U_4962,U_4961,U_4960,U_4959,U_4958,U_4957)))),transi2005320128t_char(U_4957))) )
      | ~ hBOOL(hAPP_P828904212r_bool(hAPP_l1342015621r_bool(U_4962,U_4961),U_4960))
      | ~ hBOOL(hAPP_f272179441l_bool(hAPP_P396425609l_bool(member1607118676t_char,hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_4961),U_4960)),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_4959),U_4958))),transi2005320128t_char(U_4957))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK872]),skolemize(U_4953,sK872(U_4962,U_4961,U_4960,U_4959,U_4958,U_4957))],[f_919_6]) ).

cnf(f_919_8,plain,
    ( hBOOL(hAPP_f272179441l_bool(hAPP_P396425609l_bool(member1607118676t_char,hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_4961),U_4960)),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,sK869(U_4962,U_4961,U_4960,U_4959,U_4958,U_4957)),sK870(U_4962,U_4961,U_4960,U_4959,U_4958,U_4957)))),transi2005320128t_char(U_4957)))
    | hBOOL(hAPP_P828904212r_bool(hAPP_l1342015621r_bool(U_4962,U_4959),U_4958))
    | ~ hBOOL(hAPP_P828904212r_bool(hAPP_l1342015621r_bool(U_4962,U_4961),U_4960))
    | ~ hBOOL(hAPP_f272179441l_bool(hAPP_P396425609l_bool(member1607118676t_char,hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_4961),U_4960)),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_4959),U_4958))),transi2005320128t_char(U_4957))) ),
    inference(clausify,[status(thm)],[f_919_7]) ).

cnf(f_919_9,plain,
    ( hBOOL(hAPP_f272179441l_bool(hAPP_P396425609l_bool(member1607118676t_char,hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,sK869(U_4962,U_4961,U_4960,U_4959,U_4958,U_4957)),sK870(U_4962,U_4961,U_4960,U_4959,U_4958,U_4957))),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,sK871(U_4962,U_4961,U_4960,U_4959,U_4958,U_4957)),sK872(U_4962,U_4961,U_4960,U_4959,U_4958,U_4957)))),U_4957))
    | hBOOL(hAPP_P828904212r_bool(hAPP_l1342015621r_bool(U_4962,U_4959),U_4958))
    | ~ hBOOL(hAPP_P828904212r_bool(hAPP_l1342015621r_bool(U_4962,U_4961),U_4960))
    | ~ hBOOL(hAPP_f272179441l_bool(hAPP_P396425609l_bool(member1607118676t_char,hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_4961),U_4960)),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_4959),U_4958))),transi2005320128t_char(U_4957))) ),
    inference(clausify,[status(thm)],[f_919_7]) ).

cnf(f_919_10,plain,
    ( hBOOL(hAPP_P828904212r_bool(hAPP_l1342015621r_bool(U_4962,sK869(U_4962,U_4961,U_4960,U_4959,U_4958,U_4957)),sK870(U_4962,U_4961,U_4960,U_4959,U_4958,U_4957)))
    | hBOOL(hAPP_P828904212r_bool(hAPP_l1342015621r_bool(U_4962,U_4959),U_4958))
    | ~ hBOOL(hAPP_P828904212r_bool(hAPP_l1342015621r_bool(U_4962,U_4961),U_4960))
    | ~ hBOOL(hAPP_f272179441l_bool(hAPP_P396425609l_bool(member1607118676t_char,hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_4961),U_4960)),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_4959),U_4958))),transi2005320128t_char(U_4957))) ),
    inference(clausify,[status(thm)],[f_919_7]) ).

cnf(f_919_11,plain,
    ( ~ hBOOL(hAPP_P828904212r_bool(hAPP_l1342015621r_bool(U_4962,sK871(U_4962,U_4961,U_4960,U_4959,U_4958,U_4957)),sK872(U_4962,U_4961,U_4960,U_4959,U_4958,U_4957)))
    | hBOOL(hAPP_P828904212r_bool(hAPP_l1342015621r_bool(U_4962,U_4959),U_4958))
    | ~ hBOOL(hAPP_P828904212r_bool(hAPP_l1342015621r_bool(U_4962,U_4961),U_4960))
    | ~ hBOOL(hAPP_f272179441l_bool(hAPP_P396425609l_bool(member1607118676t_char,hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_4961),U_4960)),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_4959),U_4958))),transi2005320128t_char(U_4957))) ),
    inference(clausify,[status(thm)],[f_919_7]) ).

fof(f_920_1,plain,
    ! [Pa,Ax,Ay,Bx,By,R_1] :
      ( hBOOL(hAPP_P659547099r_bool(hAPP_l2140727500r_bool(Pa,Bx),By))
      | ? [A_1,B_2,Aa,Ba] :
          ( ~ hBOOL(hAPP_P659547099r_bool(hAPP_l2140727500r_bool(Pa,Aa),Ba))
          & hBOOL(hAPP_P659547099r_bool(hAPP_l2140727500r_bool(Pa,A_1),B_2))
          & hBOOL(hAPP_f538118321l_bool(hAPP_P1390376713l_bool(member162552852t_char,hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,A_1),B_2)),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,Aa),Ba))),R_1))
          & hBOOL(hAPP_f538118321l_bool(hAPP_P1390376713l_bool(member162552852t_char,hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,Ax),Ay)),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,A_1),B_2))),transi1123801095t_char(R_1))) )
      | ~ hBOOL(hAPP_P659547099r_bool(hAPP_l2140727500r_bool(Pa,Ax),Ay))
      | ~ hBOOL(hAPP_f538118321l_bool(hAPP_P1390376713l_bool(member162552852t_char,hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,Ax),Ay)),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,Bx),By))),transi1123801095t_char(R_1))) ),
    inference(fof_nnf,[status(thm)],[fact_778_rtrancl__induct2]) ).

fof(f_920_2,plain,
    ! [U_4972,U_4971,U_4970,U_4969,U_4968,U_4967] :
      ( hBOOL(hAPP_P659547099r_bool(hAPP_l2140727500r_bool(U_4972,U_4969),U_4968))
      | ? [U_4966,U_4965,U_4964,U_4963] :
          ( ~ hBOOL(hAPP_P659547099r_bool(hAPP_l2140727500r_bool(U_4972,U_4964),U_4963))
          & hBOOL(hAPP_P659547099r_bool(hAPP_l2140727500r_bool(U_4972,U_4966),U_4965))
          & hBOOL(hAPP_f538118321l_bool(hAPP_P1390376713l_bool(member162552852t_char,hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_4966),U_4965)),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_4964),U_4963))),U_4967))
          & hBOOL(hAPP_f538118321l_bool(hAPP_P1390376713l_bool(member162552852t_char,hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_4971),U_4970)),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_4966),U_4965))),transi1123801095t_char(U_4967))) )
      | ~ hBOOL(hAPP_P659547099r_bool(hAPP_l2140727500r_bool(U_4972,U_4971),U_4970))
      | ~ hBOOL(hAPP_f538118321l_bool(hAPP_P1390376713l_bool(member162552852t_char,hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_4971),U_4970)),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_4969),U_4968))),transi1123801095t_char(U_4967))) ),
    inference(variable_rename,[status(thm)],[f_920_1]) ).

fof(f_920_3,plain,
    ! [U_4972,U_4971,U_4970,U_4969,U_4968,U_4967] :
      ( hBOOL(hAPP_P659547099r_bool(hAPP_l2140727500r_bool(U_4972,U_4969),U_4968))
      | ? [U_4966,U_4965] :
          ( ? [U_4964,U_4963] :
              ( ~ hBOOL(hAPP_P659547099r_bool(hAPP_l2140727500r_bool(U_4972,U_4964),U_4963))
              & hBOOL(hAPP_P659547099r_bool(hAPP_l2140727500r_bool(U_4972,U_4966),U_4965))
              & hBOOL(hAPP_f538118321l_bool(hAPP_P1390376713l_bool(member162552852t_char,hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_4966),U_4965)),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_4964),U_4963))),U_4967)) )
          & hBOOL(hAPP_f538118321l_bool(hAPP_P1390376713l_bool(member162552852t_char,hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_4971),U_4970)),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_4966),U_4965))),transi1123801095t_char(U_4967))) )
      | ~ hBOOL(hAPP_P659547099r_bool(hAPP_l2140727500r_bool(U_4972,U_4971),U_4970))
      | ~ hBOOL(hAPP_f538118321l_bool(hAPP_P1390376713l_bool(member162552852t_char,hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_4971),U_4970)),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_4969),U_4968))),transi1123801095t_char(U_4967))) ),
    inference(miniscope,[status(thm)],[f_920_2]) ).

fof(f_920_4,plain,
    ! [U_4972,U_4971,U_4970,U_4969,U_4968,U_4967] :
      ( hBOOL(hAPP_P659547099r_bool(hAPP_l2140727500r_bool(U_4972,U_4969),U_4968))
      | ? [U_4965] :
          ( ? [U_4964,U_4963] :
              ( ~ hBOOL(hAPP_P659547099r_bool(hAPP_l2140727500r_bool(U_4972,U_4964),U_4963))
              & hBOOL(hAPP_P659547099r_bool(hAPP_l2140727500r_bool(U_4972,sK873(U_4972,U_4971,U_4970,U_4969,U_4968,U_4967)),U_4965))
              & hBOOL(hAPP_f538118321l_bool(hAPP_P1390376713l_bool(member162552852t_char,hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,sK873(U_4972,U_4971,U_4970,U_4969,U_4968,U_4967)),U_4965)),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_4964),U_4963))),U_4967)) )
          & hBOOL(hAPP_f538118321l_bool(hAPP_P1390376713l_bool(member162552852t_char,hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_4971),U_4970)),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,sK873(U_4972,U_4971,U_4970,U_4969,U_4968,U_4967)),U_4965))),transi1123801095t_char(U_4967))) )
      | ~ hBOOL(hAPP_P659547099r_bool(hAPP_l2140727500r_bool(U_4972,U_4971),U_4970))
      | ~ hBOOL(hAPP_f538118321l_bool(hAPP_P1390376713l_bool(member162552852t_char,hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_4971),U_4970)),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_4969),U_4968))),transi1123801095t_char(U_4967))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK873]),skolemize(U_4966,sK873(U_4972,U_4971,U_4970,U_4969,U_4968,U_4967))],[f_920_3]) ).

fof(f_920_5,plain,
    ! [U_4972,U_4971,U_4970,U_4969,U_4968,U_4967] :
      ( hBOOL(hAPP_P659547099r_bool(hAPP_l2140727500r_bool(U_4972,U_4969),U_4968))
      | ( ? [U_4964,U_4963] :
            ( ~ hBOOL(hAPP_P659547099r_bool(hAPP_l2140727500r_bool(U_4972,U_4964),U_4963))
            & hBOOL(hAPP_P659547099r_bool(hAPP_l2140727500r_bool(U_4972,sK873(U_4972,U_4971,U_4970,U_4969,U_4968,U_4967)),sK874(U_4972,U_4971,U_4970,U_4969,U_4968,U_4967)))
            & hBOOL(hAPP_f538118321l_bool(hAPP_P1390376713l_bool(member162552852t_char,hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,sK873(U_4972,U_4971,U_4970,U_4969,U_4968,U_4967)),sK874(U_4972,U_4971,U_4970,U_4969,U_4968,U_4967))),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_4964),U_4963))),U_4967)) )
        & hBOOL(hAPP_f538118321l_bool(hAPP_P1390376713l_bool(member162552852t_char,hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_4971),U_4970)),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,sK873(U_4972,U_4971,U_4970,U_4969,U_4968,U_4967)),sK874(U_4972,U_4971,U_4970,U_4969,U_4968,U_4967)))),transi1123801095t_char(U_4967))) )
      | ~ hBOOL(hAPP_P659547099r_bool(hAPP_l2140727500r_bool(U_4972,U_4971),U_4970))
      | ~ hBOOL(hAPP_f538118321l_bool(hAPP_P1390376713l_bool(member162552852t_char,hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_4971),U_4970)),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_4969),U_4968))),transi1123801095t_char(U_4967))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK874]),skolemize(U_4965,sK874(U_4972,U_4971,U_4970,U_4969,U_4968,U_4967))],[f_920_4]) ).

fof(f_920_6,plain,
    ! [U_4972,U_4971,U_4970,U_4969,U_4968,U_4967] :
      ( hBOOL(hAPP_P659547099r_bool(hAPP_l2140727500r_bool(U_4972,U_4969),U_4968))
      | ( ? [U_4963] :
            ( ~ hBOOL(hAPP_P659547099r_bool(hAPP_l2140727500r_bool(U_4972,sK875(U_4972,U_4971,U_4970,U_4969,U_4968,U_4967)),U_4963))
            & hBOOL(hAPP_P659547099r_bool(hAPP_l2140727500r_bool(U_4972,sK873(U_4972,U_4971,U_4970,U_4969,U_4968,U_4967)),sK874(U_4972,U_4971,U_4970,U_4969,U_4968,U_4967)))
            & hBOOL(hAPP_f538118321l_bool(hAPP_P1390376713l_bool(member162552852t_char,hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,sK873(U_4972,U_4971,U_4970,U_4969,U_4968,U_4967)),sK874(U_4972,U_4971,U_4970,U_4969,U_4968,U_4967))),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,sK875(U_4972,U_4971,U_4970,U_4969,U_4968,U_4967)),U_4963))),U_4967)) )
        & hBOOL(hAPP_f538118321l_bool(hAPP_P1390376713l_bool(member162552852t_char,hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_4971),U_4970)),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,sK873(U_4972,U_4971,U_4970,U_4969,U_4968,U_4967)),sK874(U_4972,U_4971,U_4970,U_4969,U_4968,U_4967)))),transi1123801095t_char(U_4967))) )
      | ~ hBOOL(hAPP_P659547099r_bool(hAPP_l2140727500r_bool(U_4972,U_4971),U_4970))
      | ~ hBOOL(hAPP_f538118321l_bool(hAPP_P1390376713l_bool(member162552852t_char,hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_4971),U_4970)),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_4969),U_4968))),transi1123801095t_char(U_4967))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK875]),skolemize(U_4964,sK875(U_4972,U_4971,U_4970,U_4969,U_4968,U_4967))],[f_920_5]) ).

fof(f_920_7,plain,
    ! [U_4972,U_4971,U_4970,U_4969,U_4968,U_4967] :
      ( hBOOL(hAPP_P659547099r_bool(hAPP_l2140727500r_bool(U_4972,U_4969),U_4968))
      | ( ~ hBOOL(hAPP_P659547099r_bool(hAPP_l2140727500r_bool(U_4972,sK875(U_4972,U_4971,U_4970,U_4969,U_4968,U_4967)),sK876(U_4972,U_4971,U_4970,U_4969,U_4968,U_4967)))
        & hBOOL(hAPP_P659547099r_bool(hAPP_l2140727500r_bool(U_4972,sK873(U_4972,U_4971,U_4970,U_4969,U_4968,U_4967)),sK874(U_4972,U_4971,U_4970,U_4969,U_4968,U_4967)))
        & hBOOL(hAPP_f538118321l_bool(hAPP_P1390376713l_bool(member162552852t_char,hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,sK873(U_4972,U_4971,U_4970,U_4969,U_4968,U_4967)),sK874(U_4972,U_4971,U_4970,U_4969,U_4968,U_4967))),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,sK875(U_4972,U_4971,U_4970,U_4969,U_4968,U_4967)),sK876(U_4972,U_4971,U_4970,U_4969,U_4968,U_4967)))),U_4967))
        & hBOOL(hAPP_f538118321l_bool(hAPP_P1390376713l_bool(member162552852t_char,hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_4971),U_4970)),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,sK873(U_4972,U_4971,U_4970,U_4969,U_4968,U_4967)),sK874(U_4972,U_4971,U_4970,U_4969,U_4968,U_4967)))),transi1123801095t_char(U_4967))) )
      | ~ hBOOL(hAPP_P659547099r_bool(hAPP_l2140727500r_bool(U_4972,U_4971),U_4970))
      | ~ hBOOL(hAPP_f538118321l_bool(hAPP_P1390376713l_bool(member162552852t_char,hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_4971),U_4970)),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_4969),U_4968))),transi1123801095t_char(U_4967))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK876]),skolemize(U_4963,sK876(U_4972,U_4971,U_4970,U_4969,U_4968,U_4967))],[f_920_6]) ).

cnf(f_920_8,plain,
    ( hBOOL(hAPP_f538118321l_bool(hAPP_P1390376713l_bool(member162552852t_char,hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_4971),U_4970)),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,sK873(U_4972,U_4971,U_4970,U_4969,U_4968,U_4967)),sK874(U_4972,U_4971,U_4970,U_4969,U_4968,U_4967)))),transi1123801095t_char(U_4967)))
    | hBOOL(hAPP_P659547099r_bool(hAPP_l2140727500r_bool(U_4972,U_4969),U_4968))
    | ~ hBOOL(hAPP_P659547099r_bool(hAPP_l2140727500r_bool(U_4972,U_4971),U_4970))
    | ~ hBOOL(hAPP_f538118321l_bool(hAPP_P1390376713l_bool(member162552852t_char,hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_4971),U_4970)),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_4969),U_4968))),transi1123801095t_char(U_4967))) ),
    inference(clausify,[status(thm)],[f_920_7]) ).

cnf(f_920_9,plain,
    ( hBOOL(hAPP_f538118321l_bool(hAPP_P1390376713l_bool(member162552852t_char,hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,sK873(U_4972,U_4971,U_4970,U_4969,U_4968,U_4967)),sK874(U_4972,U_4971,U_4970,U_4969,U_4968,U_4967))),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,sK875(U_4972,U_4971,U_4970,U_4969,U_4968,U_4967)),sK876(U_4972,U_4971,U_4970,U_4969,U_4968,U_4967)))),U_4967))
    | hBOOL(hAPP_P659547099r_bool(hAPP_l2140727500r_bool(U_4972,U_4969),U_4968))
    | ~ hBOOL(hAPP_P659547099r_bool(hAPP_l2140727500r_bool(U_4972,U_4971),U_4970))
    | ~ hBOOL(hAPP_f538118321l_bool(hAPP_P1390376713l_bool(member162552852t_char,hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_4971),U_4970)),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_4969),U_4968))),transi1123801095t_char(U_4967))) ),
    inference(clausify,[status(thm)],[f_920_7]) ).

cnf(f_920_10,plain,
    ( hBOOL(hAPP_P659547099r_bool(hAPP_l2140727500r_bool(U_4972,sK873(U_4972,U_4971,U_4970,U_4969,U_4968,U_4967)),sK874(U_4972,U_4971,U_4970,U_4969,U_4968,U_4967)))
    | hBOOL(hAPP_P659547099r_bool(hAPP_l2140727500r_bool(U_4972,U_4969),U_4968))
    | ~ hBOOL(hAPP_P659547099r_bool(hAPP_l2140727500r_bool(U_4972,U_4971),U_4970))
    | ~ hBOOL(hAPP_f538118321l_bool(hAPP_P1390376713l_bool(member162552852t_char,hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_4971),U_4970)),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_4969),U_4968))),transi1123801095t_char(U_4967))) ),
    inference(clausify,[status(thm)],[f_920_7]) ).

cnf(f_920_11,plain,
    ( ~ hBOOL(hAPP_P659547099r_bool(hAPP_l2140727500r_bool(U_4972,sK875(U_4972,U_4971,U_4970,U_4969,U_4968,U_4967)),sK876(U_4972,U_4971,U_4970,U_4969,U_4968,U_4967)))
    | hBOOL(hAPP_P659547099r_bool(hAPP_l2140727500r_bool(U_4972,U_4969),U_4968))
    | ~ hBOOL(hAPP_P659547099r_bool(hAPP_l2140727500r_bool(U_4972,U_4971),U_4970))
    | ~ hBOOL(hAPP_f538118321l_bool(hAPP_P1390376713l_bool(member162552852t_char,hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_4971),U_4970)),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_4969),U_4968))),transi1123801095t_char(U_4967))) ),
    inference(clausify,[status(thm)],[f_920_7]) ).

fof(f_921_1,plain,
    ! [Pa,Ax,Ay,Bx,By,R_1] :
      ( hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(Pa,Bx),By))
      | ? [A_1,B_2,Aa,Ba] :
          ( ~ hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(Pa,Aa),Ba))
          & hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(Pa,A_1),B_2))
          & hBOOL(hAPP_f1145574243l_bool(hAPP_P2139822957l_bool(member1161907014t_char,hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,A_1),B_2)),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,Aa),Ba))),R_1))
          & hBOOL(hAPP_f1145574243l_bool(hAPP_P2139822957l_bool(member1161907014t_char,hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,Ax),Ay)),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,A_1),B_2))),transi1789604888t_char(R_1))) )
      | ~ hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(Pa,Ax),Ay))
      | ~ hBOOL(hAPP_f1145574243l_bool(hAPP_P2139822957l_bool(member1161907014t_char,hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,Ax),Ay)),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,Bx),By))),transi1789604888t_char(R_1))) ),
    inference(fof_nnf,[status(thm)],[fact_779_rtrancl__induct2]) ).

fof(f_921_2,plain,
    ! [U_4982,U_4981,U_4980,U_4979,U_4978,U_4977] :
      ( hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(U_4982,U_4979),U_4978))
      | ? [U_4976,U_4975,U_4974,U_4973] :
          ( ~ hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(U_4982,U_4974),U_4973))
          & hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(U_4982,U_4976),U_4975))
          & hBOOL(hAPP_f1145574243l_bool(hAPP_P2139822957l_bool(member1161907014t_char,hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_4976),U_4975)),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_4974),U_4973))),U_4977))
          & hBOOL(hAPP_f1145574243l_bool(hAPP_P2139822957l_bool(member1161907014t_char,hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_4981),U_4980)),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_4976),U_4975))),transi1789604888t_char(U_4977))) )
      | ~ hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(U_4982,U_4981),U_4980))
      | ~ hBOOL(hAPP_f1145574243l_bool(hAPP_P2139822957l_bool(member1161907014t_char,hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_4981),U_4980)),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_4979),U_4978))),transi1789604888t_char(U_4977))) ),
    inference(variable_rename,[status(thm)],[f_921_1]) ).

fof(f_921_3,plain,
    ! [U_4982,U_4981,U_4980,U_4979,U_4978,U_4977] :
      ( hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(U_4982,U_4979),U_4978))
      | ? [U_4976,U_4975] :
          ( ? [U_4974,U_4973] :
              ( ~ hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(U_4982,U_4974),U_4973))
              & hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(U_4982,U_4976),U_4975))
              & hBOOL(hAPP_f1145574243l_bool(hAPP_P2139822957l_bool(member1161907014t_char,hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_4976),U_4975)),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_4974),U_4973))),U_4977)) )
          & hBOOL(hAPP_f1145574243l_bool(hAPP_P2139822957l_bool(member1161907014t_char,hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_4981),U_4980)),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_4976),U_4975))),transi1789604888t_char(U_4977))) )
      | ~ hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(U_4982,U_4981),U_4980))
      | ~ hBOOL(hAPP_f1145574243l_bool(hAPP_P2139822957l_bool(member1161907014t_char,hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_4981),U_4980)),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_4979),U_4978))),transi1789604888t_char(U_4977))) ),
    inference(miniscope,[status(thm)],[f_921_2]) ).

fof(f_921_4,plain,
    ! [U_4982,U_4981,U_4980,U_4979,U_4978,U_4977] :
      ( hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(U_4982,U_4979),U_4978))
      | ? [U_4975] :
          ( ? [U_4974,U_4973] :
              ( ~ hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(U_4982,U_4974),U_4973))
              & hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(U_4982,sK877(U_4982,U_4981,U_4980,U_4979,U_4978,U_4977)),U_4975))
              & hBOOL(hAPP_f1145574243l_bool(hAPP_P2139822957l_bool(member1161907014t_char,hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,sK877(U_4982,U_4981,U_4980,U_4979,U_4978,U_4977)),U_4975)),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_4974),U_4973))),U_4977)) )
          & hBOOL(hAPP_f1145574243l_bool(hAPP_P2139822957l_bool(member1161907014t_char,hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_4981),U_4980)),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,sK877(U_4982,U_4981,U_4980,U_4979,U_4978,U_4977)),U_4975))),transi1789604888t_char(U_4977))) )
      | ~ hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(U_4982,U_4981),U_4980))
      | ~ hBOOL(hAPP_f1145574243l_bool(hAPP_P2139822957l_bool(member1161907014t_char,hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_4981),U_4980)),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_4979),U_4978))),transi1789604888t_char(U_4977))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK877]),skolemize(U_4976,sK877(U_4982,U_4981,U_4980,U_4979,U_4978,U_4977))],[f_921_3]) ).

fof(f_921_5,plain,
    ! [U_4982,U_4981,U_4980,U_4979,U_4978,U_4977] :
      ( hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(U_4982,U_4979),U_4978))
      | ( ? [U_4974,U_4973] :
            ( ~ hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(U_4982,U_4974),U_4973))
            & hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(U_4982,sK877(U_4982,U_4981,U_4980,U_4979,U_4978,U_4977)),sK878(U_4982,U_4981,U_4980,U_4979,U_4978,U_4977)))
            & hBOOL(hAPP_f1145574243l_bool(hAPP_P2139822957l_bool(member1161907014t_char,hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,sK877(U_4982,U_4981,U_4980,U_4979,U_4978,U_4977)),sK878(U_4982,U_4981,U_4980,U_4979,U_4978,U_4977))),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_4974),U_4973))),U_4977)) )
        & hBOOL(hAPP_f1145574243l_bool(hAPP_P2139822957l_bool(member1161907014t_char,hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_4981),U_4980)),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,sK877(U_4982,U_4981,U_4980,U_4979,U_4978,U_4977)),sK878(U_4982,U_4981,U_4980,U_4979,U_4978,U_4977)))),transi1789604888t_char(U_4977))) )
      | ~ hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(U_4982,U_4981),U_4980))
      | ~ hBOOL(hAPP_f1145574243l_bool(hAPP_P2139822957l_bool(member1161907014t_char,hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_4981),U_4980)),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_4979),U_4978))),transi1789604888t_char(U_4977))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK878]),skolemize(U_4975,sK878(U_4982,U_4981,U_4980,U_4979,U_4978,U_4977))],[f_921_4]) ).

fof(f_921_6,plain,
    ! [U_4982,U_4981,U_4980,U_4979,U_4978,U_4977] :
      ( hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(U_4982,U_4979),U_4978))
      | ( ? [U_4973] :
            ( ~ hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(U_4982,sK879(U_4982,U_4981,U_4980,U_4979,U_4978,U_4977)),U_4973))
            & hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(U_4982,sK877(U_4982,U_4981,U_4980,U_4979,U_4978,U_4977)),sK878(U_4982,U_4981,U_4980,U_4979,U_4978,U_4977)))
            & hBOOL(hAPP_f1145574243l_bool(hAPP_P2139822957l_bool(member1161907014t_char,hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,sK877(U_4982,U_4981,U_4980,U_4979,U_4978,U_4977)),sK878(U_4982,U_4981,U_4980,U_4979,U_4978,U_4977))),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,sK879(U_4982,U_4981,U_4980,U_4979,U_4978,U_4977)),U_4973))),U_4977)) )
        & hBOOL(hAPP_f1145574243l_bool(hAPP_P2139822957l_bool(member1161907014t_char,hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_4981),U_4980)),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,sK877(U_4982,U_4981,U_4980,U_4979,U_4978,U_4977)),sK878(U_4982,U_4981,U_4980,U_4979,U_4978,U_4977)))),transi1789604888t_char(U_4977))) )
      | ~ hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(U_4982,U_4981),U_4980))
      | ~ hBOOL(hAPP_f1145574243l_bool(hAPP_P2139822957l_bool(member1161907014t_char,hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_4981),U_4980)),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_4979),U_4978))),transi1789604888t_char(U_4977))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK879]),skolemize(U_4974,sK879(U_4982,U_4981,U_4980,U_4979,U_4978,U_4977))],[f_921_5]) ).

fof(f_921_7,plain,
    ! [U_4982,U_4981,U_4980,U_4979,U_4978,U_4977] :
      ( hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(U_4982,U_4979),U_4978))
      | ( ~ hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(U_4982,sK879(U_4982,U_4981,U_4980,U_4979,U_4978,U_4977)),sK880(U_4982,U_4981,U_4980,U_4979,U_4978,U_4977)))
        & hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(U_4982,sK877(U_4982,U_4981,U_4980,U_4979,U_4978,U_4977)),sK878(U_4982,U_4981,U_4980,U_4979,U_4978,U_4977)))
        & hBOOL(hAPP_f1145574243l_bool(hAPP_P2139822957l_bool(member1161907014t_char,hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,sK877(U_4982,U_4981,U_4980,U_4979,U_4978,U_4977)),sK878(U_4982,U_4981,U_4980,U_4979,U_4978,U_4977))),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,sK879(U_4982,U_4981,U_4980,U_4979,U_4978,U_4977)),sK880(U_4982,U_4981,U_4980,U_4979,U_4978,U_4977)))),U_4977))
        & hBOOL(hAPP_f1145574243l_bool(hAPP_P2139822957l_bool(member1161907014t_char,hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_4981),U_4980)),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,sK877(U_4982,U_4981,U_4980,U_4979,U_4978,U_4977)),sK878(U_4982,U_4981,U_4980,U_4979,U_4978,U_4977)))),transi1789604888t_char(U_4977))) )
      | ~ hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(U_4982,U_4981),U_4980))
      | ~ hBOOL(hAPP_f1145574243l_bool(hAPP_P2139822957l_bool(member1161907014t_char,hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_4981),U_4980)),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_4979),U_4978))),transi1789604888t_char(U_4977))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK880]),skolemize(U_4973,sK880(U_4982,U_4981,U_4980,U_4979,U_4978,U_4977))],[f_921_6]) ).

cnf(f_921_8,plain,
    ( hBOOL(hAPP_f1145574243l_bool(hAPP_P2139822957l_bool(member1161907014t_char,hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_4981),U_4980)),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,sK877(U_4982,U_4981,U_4980,U_4979,U_4978,U_4977)),sK878(U_4982,U_4981,U_4980,U_4979,U_4978,U_4977)))),transi1789604888t_char(U_4977)))
    | hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(U_4982,U_4979),U_4978))
    | ~ hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(U_4982,U_4981),U_4980))
    | ~ hBOOL(hAPP_f1145574243l_bool(hAPP_P2139822957l_bool(member1161907014t_char,hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_4981),U_4980)),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_4979),U_4978))),transi1789604888t_char(U_4977))) ),
    inference(clausify,[status(thm)],[f_921_7]) ).

cnf(f_921_9,plain,
    ( hBOOL(hAPP_f1145574243l_bool(hAPP_P2139822957l_bool(member1161907014t_char,hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,sK877(U_4982,U_4981,U_4980,U_4979,U_4978,U_4977)),sK878(U_4982,U_4981,U_4980,U_4979,U_4978,U_4977))),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,sK879(U_4982,U_4981,U_4980,U_4979,U_4978,U_4977)),sK880(U_4982,U_4981,U_4980,U_4979,U_4978,U_4977)))),U_4977))
    | hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(U_4982,U_4979),U_4978))
    | ~ hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(U_4982,U_4981),U_4980))
    | ~ hBOOL(hAPP_f1145574243l_bool(hAPP_P2139822957l_bool(member1161907014t_char,hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_4981),U_4980)),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_4979),U_4978))),transi1789604888t_char(U_4977))) ),
    inference(clausify,[status(thm)],[f_921_7]) ).

cnf(f_921_10,plain,
    ( hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(U_4982,sK877(U_4982,U_4981,U_4980,U_4979,U_4978,U_4977)),sK878(U_4982,U_4981,U_4980,U_4979,U_4978,U_4977)))
    | hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(U_4982,U_4979),U_4978))
    | ~ hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(U_4982,U_4981),U_4980))
    | ~ hBOOL(hAPP_f1145574243l_bool(hAPP_P2139822957l_bool(member1161907014t_char,hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_4981),U_4980)),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_4979),U_4978))),transi1789604888t_char(U_4977))) ),
    inference(clausify,[status(thm)],[f_921_7]) ).

cnf(f_921_11,plain,
    ( ~ hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(U_4982,sK879(U_4982,U_4981,U_4980,U_4979,U_4978,U_4977)),sK880(U_4982,U_4981,U_4980,U_4979,U_4978,U_4977)))
    | hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(U_4982,U_4979),U_4978))
    | ~ hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(U_4982,U_4981),U_4980))
    | ~ hBOOL(hAPP_f1145574243l_bool(hAPP_P2139822957l_bool(member1161907014t_char,hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_4981),U_4980)),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_4979),U_4978))),transi1789604888t_char(U_4977))) ),
    inference(clausify,[status(thm)],[f_921_7]) ).

fof(f_922_1,plain,
    ! [Pa,Ax,Ay,Bx,By,R_1] :
      ( hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(Pa,Bx),By))
      | ? [A_1,B_2,Aa,Ba] :
          ( ~ hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(Pa,Aa),Ba))
          & hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(Pa,A_1),B_2))
          & hBOOL(hAPP_f258424141l_bool(hAPP_P409642305l_bool(member125098544t_char,hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,A_1),B_2)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,Aa),Ba))),R_1))
          & hBOOL(hAPP_f258424141l_bool(hAPP_P409642305l_bool(member125098544t_char,hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,Ax),Ay)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,A_1),B_2))),transi1257872013t_char(R_1))) )
      | ~ hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(Pa,Ax),Ay))
      | ~ hBOOL(hAPP_f258424141l_bool(hAPP_P409642305l_bool(member125098544t_char,hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,Ax),Ay)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,Bx),By))),transi1257872013t_char(R_1))) ),
    inference(fof_nnf,[status(thm)],[fact_780_rtrancl__induct2]) ).

fof(f_922_2,plain,
    ! [U_4992,U_4991,U_4990,U_4989,U_4988,U_4987] :
      ( hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(U_4992,U_4989),U_4988))
      | ? [U_4986,U_4985,U_4984,U_4983] :
          ( ~ hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(U_4992,U_4984),U_4983))
          & hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(U_4992,U_4986),U_4985))
          & hBOOL(hAPP_f258424141l_bool(hAPP_P409642305l_bool(member125098544t_char,hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_4986),U_4985)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_4984),U_4983))),U_4987))
          & hBOOL(hAPP_f258424141l_bool(hAPP_P409642305l_bool(member125098544t_char,hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_4991),U_4990)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_4986),U_4985))),transi1257872013t_char(U_4987))) )
      | ~ hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(U_4992,U_4991),U_4990))
      | ~ hBOOL(hAPP_f258424141l_bool(hAPP_P409642305l_bool(member125098544t_char,hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_4991),U_4990)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_4989),U_4988))),transi1257872013t_char(U_4987))) ),
    inference(variable_rename,[status(thm)],[f_922_1]) ).

fof(f_922_3,plain,
    ! [U_4992,U_4991,U_4990,U_4989,U_4988,U_4987] :
      ( hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(U_4992,U_4989),U_4988))
      | ? [U_4986,U_4985] :
          ( ? [U_4984,U_4983] :
              ( ~ hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(U_4992,U_4984),U_4983))
              & hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(U_4992,U_4986),U_4985))
              & hBOOL(hAPP_f258424141l_bool(hAPP_P409642305l_bool(member125098544t_char,hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_4986),U_4985)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_4984),U_4983))),U_4987)) )
          & hBOOL(hAPP_f258424141l_bool(hAPP_P409642305l_bool(member125098544t_char,hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_4991),U_4990)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_4986),U_4985))),transi1257872013t_char(U_4987))) )
      | ~ hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(U_4992,U_4991),U_4990))
      | ~ hBOOL(hAPP_f258424141l_bool(hAPP_P409642305l_bool(member125098544t_char,hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_4991),U_4990)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_4989),U_4988))),transi1257872013t_char(U_4987))) ),
    inference(miniscope,[status(thm)],[f_922_2]) ).

fof(f_922_4,plain,
    ! [U_4992,U_4991,U_4990,U_4989,U_4988,U_4987] :
      ( hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(U_4992,U_4989),U_4988))
      | ? [U_4985] :
          ( ? [U_4984,U_4983] :
              ( ~ hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(U_4992,U_4984),U_4983))
              & hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(U_4992,sK881(U_4992,U_4991,U_4990,U_4989,U_4988,U_4987)),U_4985))
              & hBOOL(hAPP_f258424141l_bool(hAPP_P409642305l_bool(member125098544t_char,hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,sK881(U_4992,U_4991,U_4990,U_4989,U_4988,U_4987)),U_4985)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_4984),U_4983))),U_4987)) )
          & hBOOL(hAPP_f258424141l_bool(hAPP_P409642305l_bool(member125098544t_char,hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_4991),U_4990)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,sK881(U_4992,U_4991,U_4990,U_4989,U_4988,U_4987)),U_4985))),transi1257872013t_char(U_4987))) )
      | ~ hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(U_4992,U_4991),U_4990))
      | ~ hBOOL(hAPP_f258424141l_bool(hAPP_P409642305l_bool(member125098544t_char,hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_4991),U_4990)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_4989),U_4988))),transi1257872013t_char(U_4987))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK881]),skolemize(U_4986,sK881(U_4992,U_4991,U_4990,U_4989,U_4988,U_4987))],[f_922_3]) ).

fof(f_922_5,plain,
    ! [U_4992,U_4991,U_4990,U_4989,U_4988,U_4987] :
      ( hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(U_4992,U_4989),U_4988))
      | ( ? [U_4984,U_4983] :
            ( ~ hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(U_4992,U_4984),U_4983))
            & hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(U_4992,sK881(U_4992,U_4991,U_4990,U_4989,U_4988,U_4987)),sK882(U_4992,U_4991,U_4990,U_4989,U_4988,U_4987)))
            & hBOOL(hAPP_f258424141l_bool(hAPP_P409642305l_bool(member125098544t_char,hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,sK881(U_4992,U_4991,U_4990,U_4989,U_4988,U_4987)),sK882(U_4992,U_4991,U_4990,U_4989,U_4988,U_4987))),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_4984),U_4983))),U_4987)) )
        & hBOOL(hAPP_f258424141l_bool(hAPP_P409642305l_bool(member125098544t_char,hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_4991),U_4990)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,sK881(U_4992,U_4991,U_4990,U_4989,U_4988,U_4987)),sK882(U_4992,U_4991,U_4990,U_4989,U_4988,U_4987)))),transi1257872013t_char(U_4987))) )
      | ~ hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(U_4992,U_4991),U_4990))
      | ~ hBOOL(hAPP_f258424141l_bool(hAPP_P409642305l_bool(member125098544t_char,hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_4991),U_4990)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_4989),U_4988))),transi1257872013t_char(U_4987))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK882]),skolemize(U_4985,sK882(U_4992,U_4991,U_4990,U_4989,U_4988,U_4987))],[f_922_4]) ).

fof(f_922_6,plain,
    ! [U_4992,U_4991,U_4990,U_4989,U_4988,U_4987] :
      ( hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(U_4992,U_4989),U_4988))
      | ( ? [U_4983] :
            ( ~ hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(U_4992,sK883(U_4992,U_4991,U_4990,U_4989,U_4988,U_4987)),U_4983))
            & hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(U_4992,sK881(U_4992,U_4991,U_4990,U_4989,U_4988,U_4987)),sK882(U_4992,U_4991,U_4990,U_4989,U_4988,U_4987)))
            & hBOOL(hAPP_f258424141l_bool(hAPP_P409642305l_bool(member125098544t_char,hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,sK881(U_4992,U_4991,U_4990,U_4989,U_4988,U_4987)),sK882(U_4992,U_4991,U_4990,U_4989,U_4988,U_4987))),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,sK883(U_4992,U_4991,U_4990,U_4989,U_4988,U_4987)),U_4983))),U_4987)) )
        & hBOOL(hAPP_f258424141l_bool(hAPP_P409642305l_bool(member125098544t_char,hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_4991),U_4990)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,sK881(U_4992,U_4991,U_4990,U_4989,U_4988,U_4987)),sK882(U_4992,U_4991,U_4990,U_4989,U_4988,U_4987)))),transi1257872013t_char(U_4987))) )
      | ~ hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(U_4992,U_4991),U_4990))
      | ~ hBOOL(hAPP_f258424141l_bool(hAPP_P409642305l_bool(member125098544t_char,hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_4991),U_4990)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_4989),U_4988))),transi1257872013t_char(U_4987))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK883]),skolemize(U_4984,sK883(U_4992,U_4991,U_4990,U_4989,U_4988,U_4987))],[f_922_5]) ).

fof(f_922_7,plain,
    ! [U_4992,U_4991,U_4990,U_4989,U_4988,U_4987] :
      ( hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(U_4992,U_4989),U_4988))
      | ( ~ hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(U_4992,sK883(U_4992,U_4991,U_4990,U_4989,U_4988,U_4987)),sK884(U_4992,U_4991,U_4990,U_4989,U_4988,U_4987)))
        & hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(U_4992,sK881(U_4992,U_4991,U_4990,U_4989,U_4988,U_4987)),sK882(U_4992,U_4991,U_4990,U_4989,U_4988,U_4987)))
        & hBOOL(hAPP_f258424141l_bool(hAPP_P409642305l_bool(member125098544t_char,hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,sK881(U_4992,U_4991,U_4990,U_4989,U_4988,U_4987)),sK882(U_4992,U_4991,U_4990,U_4989,U_4988,U_4987))),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,sK883(U_4992,U_4991,U_4990,U_4989,U_4988,U_4987)),sK884(U_4992,U_4991,U_4990,U_4989,U_4988,U_4987)))),U_4987))
        & hBOOL(hAPP_f258424141l_bool(hAPP_P409642305l_bool(member125098544t_char,hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_4991),U_4990)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,sK881(U_4992,U_4991,U_4990,U_4989,U_4988,U_4987)),sK882(U_4992,U_4991,U_4990,U_4989,U_4988,U_4987)))),transi1257872013t_char(U_4987))) )
      | ~ hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(U_4992,U_4991),U_4990))
      | ~ hBOOL(hAPP_f258424141l_bool(hAPP_P409642305l_bool(member125098544t_char,hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_4991),U_4990)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_4989),U_4988))),transi1257872013t_char(U_4987))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK884]),skolemize(U_4983,sK884(U_4992,U_4991,U_4990,U_4989,U_4988,U_4987))],[f_922_6]) ).

cnf(f_922_8,plain,
    ( hBOOL(hAPP_f258424141l_bool(hAPP_P409642305l_bool(member125098544t_char,hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_4991),U_4990)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,sK881(U_4992,U_4991,U_4990,U_4989,U_4988,U_4987)),sK882(U_4992,U_4991,U_4990,U_4989,U_4988,U_4987)))),transi1257872013t_char(U_4987)))
    | hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(U_4992,U_4989),U_4988))
    | ~ hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(U_4992,U_4991),U_4990))
    | ~ hBOOL(hAPP_f258424141l_bool(hAPP_P409642305l_bool(member125098544t_char,hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_4991),U_4990)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_4989),U_4988))),transi1257872013t_char(U_4987))) ),
    inference(clausify,[status(thm)],[f_922_7]) ).

cnf(f_922_9,plain,
    ( hBOOL(hAPP_f258424141l_bool(hAPP_P409642305l_bool(member125098544t_char,hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,sK881(U_4992,U_4991,U_4990,U_4989,U_4988,U_4987)),sK882(U_4992,U_4991,U_4990,U_4989,U_4988,U_4987))),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,sK883(U_4992,U_4991,U_4990,U_4989,U_4988,U_4987)),sK884(U_4992,U_4991,U_4990,U_4989,U_4988,U_4987)))),U_4987))
    | hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(U_4992,U_4989),U_4988))
    | ~ hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(U_4992,U_4991),U_4990))
    | ~ hBOOL(hAPP_f258424141l_bool(hAPP_P409642305l_bool(member125098544t_char,hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_4991),U_4990)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_4989),U_4988))),transi1257872013t_char(U_4987))) ),
    inference(clausify,[status(thm)],[f_922_7]) ).

cnf(f_922_10,plain,
    ( hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(U_4992,sK881(U_4992,U_4991,U_4990,U_4989,U_4988,U_4987)),sK882(U_4992,U_4991,U_4990,U_4989,U_4988,U_4987)))
    | hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(U_4992,U_4989),U_4988))
    | ~ hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(U_4992,U_4991),U_4990))
    | ~ hBOOL(hAPP_f258424141l_bool(hAPP_P409642305l_bool(member125098544t_char,hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_4991),U_4990)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_4989),U_4988))),transi1257872013t_char(U_4987))) ),
    inference(clausify,[status(thm)],[f_922_7]) ).

cnf(f_922_11,plain,
    ( ~ hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(U_4992,sK883(U_4992,U_4991,U_4990,U_4989,U_4988,U_4987)),sK884(U_4992,U_4991,U_4990,U_4989,U_4988,U_4987)))
    | hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(U_4992,U_4989),U_4988))
    | ~ hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(U_4992,U_4991),U_4990))
    | ~ hBOOL(hAPP_f258424141l_bool(hAPP_P409642305l_bool(member125098544t_char,hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_4991),U_4990)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_4989),U_4988))),transi1257872013t_char(U_4987))) ),
    inference(clausify,[status(thm)],[f_922_7]) ).

fof(f_923_1,plain,
    ! [Pa,Ax,Ay,Bx,By,R_1] :
      ( hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(Pa,Bx),By))
      | ? [A_1,B_2,Aa,Ba] :
          ( ~ hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(Pa,Aa),Ba))
          & hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(Pa,A_1),B_2))
          & hBOOL(hAPP_f528956081l_bool(hAPP_P325013257l_bool(member1420286996t_char,hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,A_1),B_2)),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,Aa),Ba))),R_1))
          & hBOOL(hAPP_f528956081l_bool(hAPP_P325013257l_bool(member1420286996t_char,hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,Ax),Ay)),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,A_1),B_2))),transi122195895t_char(R_1))) )
      | ~ hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(Pa,Ax),Ay))
      | ~ hBOOL(hAPP_f528956081l_bool(hAPP_P325013257l_bool(member1420286996t_char,hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,Ax),Ay)),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,Bx),By))),transi122195895t_char(R_1))) ),
    inference(fof_nnf,[status(thm)],[fact_781_rtrancl__induct2]) ).

fof(f_923_2,plain,
    ! [U_5002,U_5001,U_5000,U_4999,U_4998,U_4997] :
      ( hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(U_5002,U_4999),U_4998))
      | ? [U_4996,U_4995,U_4994,U_4993] :
          ( ~ hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(U_5002,U_4994),U_4993))
          & hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(U_5002,U_4996),U_4995))
          & hBOOL(hAPP_f528956081l_bool(hAPP_P325013257l_bool(member1420286996t_char,hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_4996),U_4995)),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_4994),U_4993))),U_4997))
          & hBOOL(hAPP_f528956081l_bool(hAPP_P325013257l_bool(member1420286996t_char,hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_5001),U_5000)),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_4996),U_4995))),transi122195895t_char(U_4997))) )
      | ~ hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(U_5002,U_5001),U_5000))
      | ~ hBOOL(hAPP_f528956081l_bool(hAPP_P325013257l_bool(member1420286996t_char,hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_5001),U_5000)),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_4999),U_4998))),transi122195895t_char(U_4997))) ),
    inference(variable_rename,[status(thm)],[f_923_1]) ).

fof(f_923_3,plain,
    ! [U_5002,U_5001,U_5000,U_4999,U_4998,U_4997] :
      ( hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(U_5002,U_4999),U_4998))
      | ? [U_4996,U_4995] :
          ( ? [U_4994,U_4993] :
              ( ~ hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(U_5002,U_4994),U_4993))
              & hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(U_5002,U_4996),U_4995))
              & hBOOL(hAPP_f528956081l_bool(hAPP_P325013257l_bool(member1420286996t_char,hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_4996),U_4995)),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_4994),U_4993))),U_4997)) )
          & hBOOL(hAPP_f528956081l_bool(hAPP_P325013257l_bool(member1420286996t_char,hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_5001),U_5000)),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_4996),U_4995))),transi122195895t_char(U_4997))) )
      | ~ hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(U_5002,U_5001),U_5000))
      | ~ hBOOL(hAPP_f528956081l_bool(hAPP_P325013257l_bool(member1420286996t_char,hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_5001),U_5000)),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_4999),U_4998))),transi122195895t_char(U_4997))) ),
    inference(miniscope,[status(thm)],[f_923_2]) ).

fof(f_923_4,plain,
    ! [U_5002,U_5001,U_5000,U_4999,U_4998,U_4997] :
      ( hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(U_5002,U_4999),U_4998))
      | ? [U_4995] :
          ( ? [U_4994,U_4993] :
              ( ~ hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(U_5002,U_4994),U_4993))
              & hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(U_5002,sK885(U_5002,U_5001,U_5000,U_4999,U_4998,U_4997)),U_4995))
              & hBOOL(hAPP_f528956081l_bool(hAPP_P325013257l_bool(member1420286996t_char,hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,sK885(U_5002,U_5001,U_5000,U_4999,U_4998,U_4997)),U_4995)),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_4994),U_4993))),U_4997)) )
          & hBOOL(hAPP_f528956081l_bool(hAPP_P325013257l_bool(member1420286996t_char,hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_5001),U_5000)),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,sK885(U_5002,U_5001,U_5000,U_4999,U_4998,U_4997)),U_4995))),transi122195895t_char(U_4997))) )
      | ~ hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(U_5002,U_5001),U_5000))
      | ~ hBOOL(hAPP_f528956081l_bool(hAPP_P325013257l_bool(member1420286996t_char,hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_5001),U_5000)),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_4999),U_4998))),transi122195895t_char(U_4997))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK885]),skolemize(U_4996,sK885(U_5002,U_5001,U_5000,U_4999,U_4998,U_4997))],[f_923_3]) ).

fof(f_923_5,plain,
    ! [U_5002,U_5001,U_5000,U_4999,U_4998,U_4997] :
      ( hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(U_5002,U_4999),U_4998))
      | ( ? [U_4994,U_4993] :
            ( ~ hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(U_5002,U_4994),U_4993))
            & hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(U_5002,sK885(U_5002,U_5001,U_5000,U_4999,U_4998,U_4997)),sK886(U_5002,U_5001,U_5000,U_4999,U_4998,U_4997)))
            & hBOOL(hAPP_f528956081l_bool(hAPP_P325013257l_bool(member1420286996t_char,hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,sK885(U_5002,U_5001,U_5000,U_4999,U_4998,U_4997)),sK886(U_5002,U_5001,U_5000,U_4999,U_4998,U_4997))),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_4994),U_4993))),U_4997)) )
        & hBOOL(hAPP_f528956081l_bool(hAPP_P325013257l_bool(member1420286996t_char,hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_5001),U_5000)),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,sK885(U_5002,U_5001,U_5000,U_4999,U_4998,U_4997)),sK886(U_5002,U_5001,U_5000,U_4999,U_4998,U_4997)))),transi122195895t_char(U_4997))) )
      | ~ hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(U_5002,U_5001),U_5000))
      | ~ hBOOL(hAPP_f528956081l_bool(hAPP_P325013257l_bool(member1420286996t_char,hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_5001),U_5000)),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_4999),U_4998))),transi122195895t_char(U_4997))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK886]),skolemize(U_4995,sK886(U_5002,U_5001,U_5000,U_4999,U_4998,U_4997))],[f_923_4]) ).

fof(f_923_6,plain,
    ! [U_5002,U_5001,U_5000,U_4999,U_4998,U_4997] :
      ( hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(U_5002,U_4999),U_4998))
      | ( ? [U_4993] :
            ( ~ hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(U_5002,sK887(U_5002,U_5001,U_5000,U_4999,U_4998,U_4997)),U_4993))
            & hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(U_5002,sK885(U_5002,U_5001,U_5000,U_4999,U_4998,U_4997)),sK886(U_5002,U_5001,U_5000,U_4999,U_4998,U_4997)))
            & hBOOL(hAPP_f528956081l_bool(hAPP_P325013257l_bool(member1420286996t_char,hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,sK885(U_5002,U_5001,U_5000,U_4999,U_4998,U_4997)),sK886(U_5002,U_5001,U_5000,U_4999,U_4998,U_4997))),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,sK887(U_5002,U_5001,U_5000,U_4999,U_4998,U_4997)),U_4993))),U_4997)) )
        & hBOOL(hAPP_f528956081l_bool(hAPP_P325013257l_bool(member1420286996t_char,hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_5001),U_5000)),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,sK885(U_5002,U_5001,U_5000,U_4999,U_4998,U_4997)),sK886(U_5002,U_5001,U_5000,U_4999,U_4998,U_4997)))),transi122195895t_char(U_4997))) )
      | ~ hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(U_5002,U_5001),U_5000))
      | ~ hBOOL(hAPP_f528956081l_bool(hAPP_P325013257l_bool(member1420286996t_char,hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_5001),U_5000)),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_4999),U_4998))),transi122195895t_char(U_4997))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK887]),skolemize(U_4994,sK887(U_5002,U_5001,U_5000,U_4999,U_4998,U_4997))],[f_923_5]) ).

fof(f_923_7,plain,
    ! [U_5002,U_5001,U_5000,U_4999,U_4998,U_4997] :
      ( hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(U_5002,U_4999),U_4998))
      | ( ~ hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(U_5002,sK887(U_5002,U_5001,U_5000,U_4999,U_4998,U_4997)),sK888(U_5002,U_5001,U_5000,U_4999,U_4998,U_4997)))
        & hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(U_5002,sK885(U_5002,U_5001,U_5000,U_4999,U_4998,U_4997)),sK886(U_5002,U_5001,U_5000,U_4999,U_4998,U_4997)))
        & hBOOL(hAPP_f528956081l_bool(hAPP_P325013257l_bool(member1420286996t_char,hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,sK885(U_5002,U_5001,U_5000,U_4999,U_4998,U_4997)),sK886(U_5002,U_5001,U_5000,U_4999,U_4998,U_4997))),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,sK887(U_5002,U_5001,U_5000,U_4999,U_4998,U_4997)),sK888(U_5002,U_5001,U_5000,U_4999,U_4998,U_4997)))),U_4997))
        & hBOOL(hAPP_f528956081l_bool(hAPP_P325013257l_bool(member1420286996t_char,hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_5001),U_5000)),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,sK885(U_5002,U_5001,U_5000,U_4999,U_4998,U_4997)),sK886(U_5002,U_5001,U_5000,U_4999,U_4998,U_4997)))),transi122195895t_char(U_4997))) )
      | ~ hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(U_5002,U_5001),U_5000))
      | ~ hBOOL(hAPP_f528956081l_bool(hAPP_P325013257l_bool(member1420286996t_char,hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_5001),U_5000)),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_4999),U_4998))),transi122195895t_char(U_4997))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK888]),skolemize(U_4993,sK888(U_5002,U_5001,U_5000,U_4999,U_4998,U_4997))],[f_923_6]) ).

cnf(f_923_8,plain,
    ( hBOOL(hAPP_f528956081l_bool(hAPP_P325013257l_bool(member1420286996t_char,hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_5001),U_5000)),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,sK885(U_5002,U_5001,U_5000,U_4999,U_4998,U_4997)),sK886(U_5002,U_5001,U_5000,U_4999,U_4998,U_4997)))),transi122195895t_char(U_4997)))
    | hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(U_5002,U_4999),U_4998))
    | ~ hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(U_5002,U_5001),U_5000))
    | ~ hBOOL(hAPP_f528956081l_bool(hAPP_P325013257l_bool(member1420286996t_char,hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_5001),U_5000)),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_4999),U_4998))),transi122195895t_char(U_4997))) ),
    inference(clausify,[status(thm)],[f_923_7]) ).

cnf(f_923_9,plain,
    ( hBOOL(hAPP_f528956081l_bool(hAPP_P325013257l_bool(member1420286996t_char,hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,sK885(U_5002,U_5001,U_5000,U_4999,U_4998,U_4997)),sK886(U_5002,U_5001,U_5000,U_4999,U_4998,U_4997))),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,sK887(U_5002,U_5001,U_5000,U_4999,U_4998,U_4997)),sK888(U_5002,U_5001,U_5000,U_4999,U_4998,U_4997)))),U_4997))
    | hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(U_5002,U_4999),U_4998))
    | ~ hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(U_5002,U_5001),U_5000))
    | ~ hBOOL(hAPP_f528956081l_bool(hAPP_P325013257l_bool(member1420286996t_char,hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_5001),U_5000)),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_4999),U_4998))),transi122195895t_char(U_4997))) ),
    inference(clausify,[status(thm)],[f_923_7]) ).

cnf(f_923_10,plain,
    ( hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(U_5002,sK885(U_5002,U_5001,U_5000,U_4999,U_4998,U_4997)),sK886(U_5002,U_5001,U_5000,U_4999,U_4998,U_4997)))
    | hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(U_5002,U_4999),U_4998))
    | ~ hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(U_5002,U_5001),U_5000))
    | ~ hBOOL(hAPP_f528956081l_bool(hAPP_P325013257l_bool(member1420286996t_char,hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_5001),U_5000)),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_4999),U_4998))),transi122195895t_char(U_4997))) ),
    inference(clausify,[status(thm)],[f_923_7]) ).

cnf(f_923_11,plain,
    ( ~ hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(U_5002,sK887(U_5002,U_5001,U_5000,U_4999,U_4998,U_4997)),sK888(U_5002,U_5001,U_5000,U_4999,U_4998,U_4997)))
    | hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(U_5002,U_4999),U_4998))
    | ~ hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(U_5002,U_5001),U_5000))
    | ~ hBOOL(hAPP_f528956081l_bool(hAPP_P325013257l_bool(member1420286996t_char,hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_5001),U_5000)),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_4999),U_4998))),transi122195895t_char(U_4997))) ),
    inference(clausify,[status(thm)],[f_923_7]) ).

fof(f_924_1,plain,
    ! [Pa,Ax,Ay,Bx,By,R_1] :
      ( hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(Pa,Bx),By))
      | ? [A_1,B_2,Aa,Ba] :
          ( ~ hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(Pa,Aa),Ba))
          & hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(Pa,A_1),B_2))
          & hBOOL(hAPP_f1980787287l_bool(hAPP_P274544981l_bool(member88670778on_val,hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A_1),B_2)),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,Aa),Ba))),R_1))
          & hBOOL(hAPP_f1980787287l_bool(hAPP_P274544981l_bool(member88670778on_val,hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,Ax),Ay)),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A_1),B_2))),transi208336786on_val(R_1))) )
      | ~ hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(Pa,Ax),Ay))
      | ~ hBOOL(hAPP_f1980787287l_bool(hAPP_P274544981l_bool(member88670778on_val,hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,Ax),Ay)),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,Bx),By))),transi208336786on_val(R_1))) ),
    inference(fof_nnf,[status(thm)],[fact_782_rtrancl__induct2]) ).

fof(f_924_2,plain,
    ! [U_5012,U_5011,U_5010,U_5009,U_5008,U_5007] :
      ( hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(U_5012,U_5009),U_5008))
      | ? [U_5006,U_5005,U_5004,U_5003] :
          ( ~ hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(U_5012,U_5004),U_5003))
          & hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(U_5012,U_5006),U_5005))
          & hBOOL(hAPP_f1980787287l_bool(hAPP_P274544981l_bool(member88670778on_val,hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_5006),U_5005)),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_5004),U_5003))),U_5007))
          & hBOOL(hAPP_f1980787287l_bool(hAPP_P274544981l_bool(member88670778on_val,hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_5011),U_5010)),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_5006),U_5005))),transi208336786on_val(U_5007))) )
      | ~ hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(U_5012,U_5011),U_5010))
      | ~ hBOOL(hAPP_f1980787287l_bool(hAPP_P274544981l_bool(member88670778on_val,hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_5011),U_5010)),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_5009),U_5008))),transi208336786on_val(U_5007))) ),
    inference(variable_rename,[status(thm)],[f_924_1]) ).

fof(f_924_3,plain,
    ! [U_5012,U_5011,U_5010,U_5009,U_5008,U_5007] :
      ( hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(U_5012,U_5009),U_5008))
      | ? [U_5006,U_5005] :
          ( ? [U_5004,U_5003] :
              ( ~ hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(U_5012,U_5004),U_5003))
              & hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(U_5012,U_5006),U_5005))
              & hBOOL(hAPP_f1980787287l_bool(hAPP_P274544981l_bool(member88670778on_val,hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_5006),U_5005)),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_5004),U_5003))),U_5007)) )
          & hBOOL(hAPP_f1980787287l_bool(hAPP_P274544981l_bool(member88670778on_val,hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_5011),U_5010)),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_5006),U_5005))),transi208336786on_val(U_5007))) )
      | ~ hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(U_5012,U_5011),U_5010))
      | ~ hBOOL(hAPP_f1980787287l_bool(hAPP_P274544981l_bool(member88670778on_val,hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_5011),U_5010)),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_5009),U_5008))),transi208336786on_val(U_5007))) ),
    inference(miniscope,[status(thm)],[f_924_2]) ).

fof(f_924_4,plain,
    ! [U_5012,U_5011,U_5010,U_5009,U_5008,U_5007] :
      ( hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(U_5012,U_5009),U_5008))
      | ? [U_5005] :
          ( ? [U_5004,U_5003] :
              ( ~ hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(U_5012,U_5004),U_5003))
              & hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(U_5012,sK889(U_5012,U_5011,U_5010,U_5009,U_5008,U_5007)),U_5005))
              & hBOOL(hAPP_f1980787287l_bool(hAPP_P274544981l_bool(member88670778on_val,hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,sK889(U_5012,U_5011,U_5010,U_5009,U_5008,U_5007)),U_5005)),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_5004),U_5003))),U_5007)) )
          & hBOOL(hAPP_f1980787287l_bool(hAPP_P274544981l_bool(member88670778on_val,hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_5011),U_5010)),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,sK889(U_5012,U_5011,U_5010,U_5009,U_5008,U_5007)),U_5005))),transi208336786on_val(U_5007))) )
      | ~ hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(U_5012,U_5011),U_5010))
      | ~ hBOOL(hAPP_f1980787287l_bool(hAPP_P274544981l_bool(member88670778on_val,hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_5011),U_5010)),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_5009),U_5008))),transi208336786on_val(U_5007))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK889]),skolemize(U_5006,sK889(U_5012,U_5011,U_5010,U_5009,U_5008,U_5007))],[f_924_3]) ).

fof(f_924_5,plain,
    ! [U_5012,U_5011,U_5010,U_5009,U_5008,U_5007] :
      ( hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(U_5012,U_5009),U_5008))
      | ( ? [U_5004,U_5003] :
            ( ~ hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(U_5012,U_5004),U_5003))
            & hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(U_5012,sK889(U_5012,U_5011,U_5010,U_5009,U_5008,U_5007)),sK890(U_5012,U_5011,U_5010,U_5009,U_5008,U_5007)))
            & hBOOL(hAPP_f1980787287l_bool(hAPP_P274544981l_bool(member88670778on_val,hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,sK889(U_5012,U_5011,U_5010,U_5009,U_5008,U_5007)),sK890(U_5012,U_5011,U_5010,U_5009,U_5008,U_5007))),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_5004),U_5003))),U_5007)) )
        & hBOOL(hAPP_f1980787287l_bool(hAPP_P274544981l_bool(member88670778on_val,hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_5011),U_5010)),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,sK889(U_5012,U_5011,U_5010,U_5009,U_5008,U_5007)),sK890(U_5012,U_5011,U_5010,U_5009,U_5008,U_5007)))),transi208336786on_val(U_5007))) )
      | ~ hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(U_5012,U_5011),U_5010))
      | ~ hBOOL(hAPP_f1980787287l_bool(hAPP_P274544981l_bool(member88670778on_val,hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_5011),U_5010)),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_5009),U_5008))),transi208336786on_val(U_5007))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK890]),skolemize(U_5005,sK890(U_5012,U_5011,U_5010,U_5009,U_5008,U_5007))],[f_924_4]) ).

fof(f_924_6,plain,
    ! [U_5012,U_5011,U_5010,U_5009,U_5008,U_5007] :
      ( hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(U_5012,U_5009),U_5008))
      | ( ? [U_5003] :
            ( ~ hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(U_5012,sK891(U_5012,U_5011,U_5010,U_5009,U_5008,U_5007)),U_5003))
            & hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(U_5012,sK889(U_5012,U_5011,U_5010,U_5009,U_5008,U_5007)),sK890(U_5012,U_5011,U_5010,U_5009,U_5008,U_5007)))
            & hBOOL(hAPP_f1980787287l_bool(hAPP_P274544981l_bool(member88670778on_val,hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,sK889(U_5012,U_5011,U_5010,U_5009,U_5008,U_5007)),sK890(U_5012,U_5011,U_5010,U_5009,U_5008,U_5007))),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,sK891(U_5012,U_5011,U_5010,U_5009,U_5008,U_5007)),U_5003))),U_5007)) )
        & hBOOL(hAPP_f1980787287l_bool(hAPP_P274544981l_bool(member88670778on_val,hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_5011),U_5010)),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,sK889(U_5012,U_5011,U_5010,U_5009,U_5008,U_5007)),sK890(U_5012,U_5011,U_5010,U_5009,U_5008,U_5007)))),transi208336786on_val(U_5007))) )
      | ~ hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(U_5012,U_5011),U_5010))
      | ~ hBOOL(hAPP_f1980787287l_bool(hAPP_P274544981l_bool(member88670778on_val,hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_5011),U_5010)),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_5009),U_5008))),transi208336786on_val(U_5007))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK891]),skolemize(U_5004,sK891(U_5012,U_5011,U_5010,U_5009,U_5008,U_5007))],[f_924_5]) ).

fof(f_924_7,plain,
    ! [U_5012,U_5011,U_5010,U_5009,U_5008,U_5007] :
      ( hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(U_5012,U_5009),U_5008))
      | ( ~ hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(U_5012,sK891(U_5012,U_5011,U_5010,U_5009,U_5008,U_5007)),sK892(U_5012,U_5011,U_5010,U_5009,U_5008,U_5007)))
        & hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(U_5012,sK889(U_5012,U_5011,U_5010,U_5009,U_5008,U_5007)),sK890(U_5012,U_5011,U_5010,U_5009,U_5008,U_5007)))
        & hBOOL(hAPP_f1980787287l_bool(hAPP_P274544981l_bool(member88670778on_val,hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,sK889(U_5012,U_5011,U_5010,U_5009,U_5008,U_5007)),sK890(U_5012,U_5011,U_5010,U_5009,U_5008,U_5007))),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,sK891(U_5012,U_5011,U_5010,U_5009,U_5008,U_5007)),sK892(U_5012,U_5011,U_5010,U_5009,U_5008,U_5007)))),U_5007))
        & hBOOL(hAPP_f1980787287l_bool(hAPP_P274544981l_bool(member88670778on_val,hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_5011),U_5010)),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,sK889(U_5012,U_5011,U_5010,U_5009,U_5008,U_5007)),sK890(U_5012,U_5011,U_5010,U_5009,U_5008,U_5007)))),transi208336786on_val(U_5007))) )
      | ~ hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(U_5012,U_5011),U_5010))
      | ~ hBOOL(hAPP_f1980787287l_bool(hAPP_P274544981l_bool(member88670778on_val,hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_5011),U_5010)),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_5009),U_5008))),transi208336786on_val(U_5007))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK892]),skolemize(U_5003,sK892(U_5012,U_5011,U_5010,U_5009,U_5008,U_5007))],[f_924_6]) ).

cnf(f_924_8,plain,
    ( hBOOL(hAPP_f1980787287l_bool(hAPP_P274544981l_bool(member88670778on_val,hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_5011),U_5010)),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,sK889(U_5012,U_5011,U_5010,U_5009,U_5008,U_5007)),sK890(U_5012,U_5011,U_5010,U_5009,U_5008,U_5007)))),transi208336786on_val(U_5007)))
    | hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(U_5012,U_5009),U_5008))
    | ~ hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(U_5012,U_5011),U_5010))
    | ~ hBOOL(hAPP_f1980787287l_bool(hAPP_P274544981l_bool(member88670778on_val,hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_5011),U_5010)),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_5009),U_5008))),transi208336786on_val(U_5007))) ),
    inference(clausify,[status(thm)],[f_924_7]) ).

cnf(f_924_9,plain,
    ( hBOOL(hAPP_f1980787287l_bool(hAPP_P274544981l_bool(member88670778on_val,hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,sK889(U_5012,U_5011,U_5010,U_5009,U_5008,U_5007)),sK890(U_5012,U_5011,U_5010,U_5009,U_5008,U_5007))),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,sK891(U_5012,U_5011,U_5010,U_5009,U_5008,U_5007)),sK892(U_5012,U_5011,U_5010,U_5009,U_5008,U_5007)))),U_5007))
    | hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(U_5012,U_5009),U_5008))
    | ~ hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(U_5012,U_5011),U_5010))
    | ~ hBOOL(hAPP_f1980787287l_bool(hAPP_P274544981l_bool(member88670778on_val,hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_5011),U_5010)),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_5009),U_5008))),transi208336786on_val(U_5007))) ),
    inference(clausify,[status(thm)],[f_924_7]) ).

cnf(f_924_10,plain,
    ( hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(U_5012,sK889(U_5012,U_5011,U_5010,U_5009,U_5008,U_5007)),sK890(U_5012,U_5011,U_5010,U_5009,U_5008,U_5007)))
    | hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(U_5012,U_5009),U_5008))
    | ~ hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(U_5012,U_5011),U_5010))
    | ~ hBOOL(hAPP_f1980787287l_bool(hAPP_P274544981l_bool(member88670778on_val,hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_5011),U_5010)),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_5009),U_5008))),transi208336786on_val(U_5007))) ),
    inference(clausify,[status(thm)],[f_924_7]) ).

cnf(f_924_11,plain,
    ( ~ hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(U_5012,sK891(U_5012,U_5011,U_5010,U_5009,U_5008,U_5007)),sK892(U_5012,U_5011,U_5010,U_5009,U_5008,U_5007)))
    | hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(U_5012,U_5009),U_5008))
    | ~ hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(U_5012,U_5011),U_5010))
    | ~ hBOOL(hAPP_f1980787287l_bool(hAPP_P274544981l_bool(member88670778on_val,hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_5011),U_5010)),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_5009),U_5008))),transi208336786on_val(U_5007))) ),
    inference(clausify,[status(thm)],[f_924_7]) ).

fof(f_925_1,plain,
    ! [Pa,Ax,Ay,Bx,By,R_1] :
      ( hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(Pa,Bx),By))
      | ? [A_1,B_2,Aa,Ba] :
          ( ~ hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(Pa,Aa),Ba))
          & hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(Pa,A_1),B_2))
          & hBOOL(hAPP_f2129782055l_bool(hAPP_P124661l_bool(member837208074al_val,hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A_1),B_2)),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,Aa),Ba))),R_1))
          & hBOOL(hAPP_f2129782055l_bool(hAPP_P124661l_bool(member837208074al_val,hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,Ax),Ay)),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A_1),B_2))),transi1423755450al_val(R_1))) )
      | ~ hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(Pa,Ax),Ay))
      | ~ hBOOL(hAPP_f2129782055l_bool(hAPP_P124661l_bool(member837208074al_val,hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,Ax),Ay)),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,Bx),By))),transi1423755450al_val(R_1))) ),
    inference(fof_nnf,[status(thm)],[fact_783_rtrancl__induct2]) ).

fof(f_925_2,plain,
    ! [U_5022,U_5021,U_5020,U_5019,U_5018,U_5017] :
      ( hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(U_5022,U_5019),U_5018))
      | ? [U_5016,U_5015,U_5014,U_5013] :
          ( ~ hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(U_5022,U_5014),U_5013))
          & hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(U_5022,U_5016),U_5015))
          & hBOOL(hAPP_f2129782055l_bool(hAPP_P124661l_bool(member837208074al_val,hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_5016),U_5015)),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_5014),U_5013))),U_5017))
          & hBOOL(hAPP_f2129782055l_bool(hAPP_P124661l_bool(member837208074al_val,hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_5021),U_5020)),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_5016),U_5015))),transi1423755450al_val(U_5017))) )
      | ~ hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(U_5022,U_5021),U_5020))
      | ~ hBOOL(hAPP_f2129782055l_bool(hAPP_P124661l_bool(member837208074al_val,hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_5021),U_5020)),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_5019),U_5018))),transi1423755450al_val(U_5017))) ),
    inference(variable_rename,[status(thm)],[f_925_1]) ).

fof(f_925_3,plain,
    ! [U_5022,U_5021,U_5020,U_5019,U_5018,U_5017] :
      ( hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(U_5022,U_5019),U_5018))
      | ? [U_5016,U_5015] :
          ( ? [U_5014,U_5013] :
              ( ~ hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(U_5022,U_5014),U_5013))
              & hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(U_5022,U_5016),U_5015))
              & hBOOL(hAPP_f2129782055l_bool(hAPP_P124661l_bool(member837208074al_val,hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_5016),U_5015)),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_5014),U_5013))),U_5017)) )
          & hBOOL(hAPP_f2129782055l_bool(hAPP_P124661l_bool(member837208074al_val,hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_5021),U_5020)),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_5016),U_5015))),transi1423755450al_val(U_5017))) )
      | ~ hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(U_5022,U_5021),U_5020))
      | ~ hBOOL(hAPP_f2129782055l_bool(hAPP_P124661l_bool(member837208074al_val,hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_5021),U_5020)),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_5019),U_5018))),transi1423755450al_val(U_5017))) ),
    inference(miniscope,[status(thm)],[f_925_2]) ).

fof(f_925_4,plain,
    ! [U_5022,U_5021,U_5020,U_5019,U_5018,U_5017] :
      ( hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(U_5022,U_5019),U_5018))
      | ? [U_5015] :
          ( ? [U_5014,U_5013] :
              ( ~ hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(U_5022,U_5014),U_5013))
              & hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(U_5022,sK893(U_5022,U_5021,U_5020,U_5019,U_5018,U_5017)),U_5015))
              & hBOOL(hAPP_f2129782055l_bool(hAPP_P124661l_bool(member837208074al_val,hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,sK893(U_5022,U_5021,U_5020,U_5019,U_5018,U_5017)),U_5015)),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_5014),U_5013))),U_5017)) )
          & hBOOL(hAPP_f2129782055l_bool(hAPP_P124661l_bool(member837208074al_val,hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_5021),U_5020)),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,sK893(U_5022,U_5021,U_5020,U_5019,U_5018,U_5017)),U_5015))),transi1423755450al_val(U_5017))) )
      | ~ hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(U_5022,U_5021),U_5020))
      | ~ hBOOL(hAPP_f2129782055l_bool(hAPP_P124661l_bool(member837208074al_val,hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_5021),U_5020)),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_5019),U_5018))),transi1423755450al_val(U_5017))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK893]),skolemize(U_5016,sK893(U_5022,U_5021,U_5020,U_5019,U_5018,U_5017))],[f_925_3]) ).

fof(f_925_5,plain,
    ! [U_5022,U_5021,U_5020,U_5019,U_5018,U_5017] :
      ( hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(U_5022,U_5019),U_5018))
      | ( ? [U_5014,U_5013] :
            ( ~ hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(U_5022,U_5014),U_5013))
            & hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(U_5022,sK893(U_5022,U_5021,U_5020,U_5019,U_5018,U_5017)),sK894(U_5022,U_5021,U_5020,U_5019,U_5018,U_5017)))
            & hBOOL(hAPP_f2129782055l_bool(hAPP_P124661l_bool(member837208074al_val,hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,sK893(U_5022,U_5021,U_5020,U_5019,U_5018,U_5017)),sK894(U_5022,U_5021,U_5020,U_5019,U_5018,U_5017))),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_5014),U_5013))),U_5017)) )
        & hBOOL(hAPP_f2129782055l_bool(hAPP_P124661l_bool(member837208074al_val,hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_5021),U_5020)),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,sK893(U_5022,U_5021,U_5020,U_5019,U_5018,U_5017)),sK894(U_5022,U_5021,U_5020,U_5019,U_5018,U_5017)))),transi1423755450al_val(U_5017))) )
      | ~ hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(U_5022,U_5021),U_5020))
      | ~ hBOOL(hAPP_f2129782055l_bool(hAPP_P124661l_bool(member837208074al_val,hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_5021),U_5020)),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_5019),U_5018))),transi1423755450al_val(U_5017))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK894]),skolemize(U_5015,sK894(U_5022,U_5021,U_5020,U_5019,U_5018,U_5017))],[f_925_4]) ).

fof(f_925_6,plain,
    ! [U_5022,U_5021,U_5020,U_5019,U_5018,U_5017] :
      ( hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(U_5022,U_5019),U_5018))
      | ( ? [U_5013] :
            ( ~ hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(U_5022,sK895(U_5022,U_5021,U_5020,U_5019,U_5018,U_5017)),U_5013))
            & hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(U_5022,sK893(U_5022,U_5021,U_5020,U_5019,U_5018,U_5017)),sK894(U_5022,U_5021,U_5020,U_5019,U_5018,U_5017)))
            & hBOOL(hAPP_f2129782055l_bool(hAPP_P124661l_bool(member837208074al_val,hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,sK893(U_5022,U_5021,U_5020,U_5019,U_5018,U_5017)),sK894(U_5022,U_5021,U_5020,U_5019,U_5018,U_5017))),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,sK895(U_5022,U_5021,U_5020,U_5019,U_5018,U_5017)),U_5013))),U_5017)) )
        & hBOOL(hAPP_f2129782055l_bool(hAPP_P124661l_bool(member837208074al_val,hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_5021),U_5020)),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,sK893(U_5022,U_5021,U_5020,U_5019,U_5018,U_5017)),sK894(U_5022,U_5021,U_5020,U_5019,U_5018,U_5017)))),transi1423755450al_val(U_5017))) )
      | ~ hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(U_5022,U_5021),U_5020))
      | ~ hBOOL(hAPP_f2129782055l_bool(hAPP_P124661l_bool(member837208074al_val,hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_5021),U_5020)),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_5019),U_5018))),transi1423755450al_val(U_5017))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK895]),skolemize(U_5014,sK895(U_5022,U_5021,U_5020,U_5019,U_5018,U_5017))],[f_925_5]) ).

fof(f_925_7,plain,
    ! [U_5022,U_5021,U_5020,U_5019,U_5018,U_5017] :
      ( hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(U_5022,U_5019),U_5018))
      | ( ~ hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(U_5022,sK895(U_5022,U_5021,U_5020,U_5019,U_5018,U_5017)),sK896(U_5022,U_5021,U_5020,U_5019,U_5018,U_5017)))
        & hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(U_5022,sK893(U_5022,U_5021,U_5020,U_5019,U_5018,U_5017)),sK894(U_5022,U_5021,U_5020,U_5019,U_5018,U_5017)))
        & hBOOL(hAPP_f2129782055l_bool(hAPP_P124661l_bool(member837208074al_val,hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,sK893(U_5022,U_5021,U_5020,U_5019,U_5018,U_5017)),sK894(U_5022,U_5021,U_5020,U_5019,U_5018,U_5017))),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,sK895(U_5022,U_5021,U_5020,U_5019,U_5018,U_5017)),sK896(U_5022,U_5021,U_5020,U_5019,U_5018,U_5017)))),U_5017))
        & hBOOL(hAPP_f2129782055l_bool(hAPP_P124661l_bool(member837208074al_val,hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_5021),U_5020)),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,sK893(U_5022,U_5021,U_5020,U_5019,U_5018,U_5017)),sK894(U_5022,U_5021,U_5020,U_5019,U_5018,U_5017)))),transi1423755450al_val(U_5017))) )
      | ~ hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(U_5022,U_5021),U_5020))
      | ~ hBOOL(hAPP_f2129782055l_bool(hAPP_P124661l_bool(member837208074al_val,hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_5021),U_5020)),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_5019),U_5018))),transi1423755450al_val(U_5017))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK896]),skolemize(U_5013,sK896(U_5022,U_5021,U_5020,U_5019,U_5018,U_5017))],[f_925_6]) ).

cnf(f_925_8,plain,
    ( hBOOL(hAPP_f2129782055l_bool(hAPP_P124661l_bool(member837208074al_val,hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_5021),U_5020)),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,sK893(U_5022,U_5021,U_5020,U_5019,U_5018,U_5017)),sK894(U_5022,U_5021,U_5020,U_5019,U_5018,U_5017)))),transi1423755450al_val(U_5017)))
    | hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(U_5022,U_5019),U_5018))
    | ~ hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(U_5022,U_5021),U_5020))
    | ~ hBOOL(hAPP_f2129782055l_bool(hAPP_P124661l_bool(member837208074al_val,hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_5021),U_5020)),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_5019),U_5018))),transi1423755450al_val(U_5017))) ),
    inference(clausify,[status(thm)],[f_925_7]) ).

cnf(f_925_9,plain,
    ( hBOOL(hAPP_f2129782055l_bool(hAPP_P124661l_bool(member837208074al_val,hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,sK893(U_5022,U_5021,U_5020,U_5019,U_5018,U_5017)),sK894(U_5022,U_5021,U_5020,U_5019,U_5018,U_5017))),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,sK895(U_5022,U_5021,U_5020,U_5019,U_5018,U_5017)),sK896(U_5022,U_5021,U_5020,U_5019,U_5018,U_5017)))),U_5017))
    | hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(U_5022,U_5019),U_5018))
    | ~ hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(U_5022,U_5021),U_5020))
    | ~ hBOOL(hAPP_f2129782055l_bool(hAPP_P124661l_bool(member837208074al_val,hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_5021),U_5020)),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_5019),U_5018))),transi1423755450al_val(U_5017))) ),
    inference(clausify,[status(thm)],[f_925_7]) ).

cnf(f_925_10,plain,
    ( hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(U_5022,sK893(U_5022,U_5021,U_5020,U_5019,U_5018,U_5017)),sK894(U_5022,U_5021,U_5020,U_5019,U_5018,U_5017)))
    | hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(U_5022,U_5019),U_5018))
    | ~ hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(U_5022,U_5021),U_5020))
    | ~ hBOOL(hAPP_f2129782055l_bool(hAPP_P124661l_bool(member837208074al_val,hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_5021),U_5020)),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_5019),U_5018))),transi1423755450al_val(U_5017))) ),
    inference(clausify,[status(thm)],[f_925_7]) ).

cnf(f_925_11,plain,
    ( ~ hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(U_5022,sK895(U_5022,U_5021,U_5020,U_5019,U_5018,U_5017)),sK896(U_5022,U_5021,U_5020,U_5019,U_5018,U_5017)))
    | hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(U_5022,U_5019),U_5018))
    | ~ hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(U_5022,U_5021),U_5020))
    | ~ hBOOL(hAPP_f2129782055l_bool(hAPP_P124661l_bool(member837208074al_val,hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_5021),U_5020)),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_5019),U_5018))),transi1423755450al_val(U_5017))) ),
    inference(clausify,[status(thm)],[f_925_7]) ).

fof(f_926_1,plain,
    ! [Pa,Ax,Ay,Bx,By,R_1] :
      ( hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(Pa,Bx),By))
      | ? [A_1,B_2,Aa,Ba] :
          ( ~ hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(Pa,Aa),Ba))
          & hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(Pa,A_1),B_2))
          & hBOOL(hAPP_f126136681l_bool(hAPP_P982127993l_bool(member1732271180al_val,hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,A_1),B_2)),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,Aa),Ba))),R_1))
          & hBOOL(hAPP_f126136681l_bool(hAPP_P982127993l_bool(member1732271180al_val,hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,Ax),Ay)),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,A_1),B_2))),transi1906258203al_val(R_1)))
          & is_bop(Aa)
          & is_bop(A_1) )
      | ~ hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(Pa,Ax),Ay))
      | ~ hBOOL(hAPP_f126136681l_bool(hAPP_P982127993l_bool(member1732271180al_val,hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,Ax),Ay)),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,Bx),By))),transi1906258203al_val(R_1))) ),
    inference(fof_nnf,[status(thm)],[fact_784_rtrancl__induct2]) ).

fof(f_926_2,plain,
    ! [U_5032,U_5031,U_5030,U_5029,U_5028,U_5027] :
      ( hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(U_5032,U_5029),U_5028))
      | ? [U_5026,U_5025,U_5024,U_5023] :
          ( ~ hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(U_5032,U_5024),U_5023))
          & hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(U_5032,U_5026),U_5025))
          & hBOOL(hAPP_f126136681l_bool(hAPP_P982127993l_bool(member1732271180al_val,hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_5026),U_5025)),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_5024),U_5023))),U_5027))
          & hBOOL(hAPP_f126136681l_bool(hAPP_P982127993l_bool(member1732271180al_val,hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_5031),U_5030)),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_5026),U_5025))),transi1906258203al_val(U_5027)))
          & is_bop(U_5024)
          & is_bop(U_5026) )
      | ~ hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(U_5032,U_5031),U_5030))
      | ~ hBOOL(hAPP_f126136681l_bool(hAPP_P982127993l_bool(member1732271180al_val,hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_5031),U_5030)),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_5029),U_5028))),transi1906258203al_val(U_5027))) ),
    inference(variable_rename,[status(thm)],[f_926_1]) ).

fof(f_926_3,plain,
    ! [U_5032,U_5031,U_5030,U_5029,U_5028,U_5027] :
      ( hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(U_5032,U_5029),U_5028))
      | ? [U_5026,U_5025,U_5024] :
          ( ? [U_5023] :
              ( ~ hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(U_5032,U_5024),U_5023))
              & hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(U_5032,U_5026),U_5025))
              & hBOOL(hAPP_f126136681l_bool(hAPP_P982127993l_bool(member1732271180al_val,hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_5026),U_5025)),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_5024),U_5023))),U_5027)) )
          & hBOOL(hAPP_f126136681l_bool(hAPP_P982127993l_bool(member1732271180al_val,hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_5031),U_5030)),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_5026),U_5025))),transi1906258203al_val(U_5027)))
          & is_bop(U_5024)
          & is_bop(U_5026) )
      | ~ hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(U_5032,U_5031),U_5030))
      | ~ hBOOL(hAPP_f126136681l_bool(hAPP_P982127993l_bool(member1732271180al_val,hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_5031),U_5030)),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_5029),U_5028))),transi1906258203al_val(U_5027))) ),
    inference(miniscope,[status(thm)],[f_926_2]) ).

fof(f_926_4,plain,
    ! [U_5032,U_5031,U_5030,U_5029,U_5028,U_5027] :
      ( hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(U_5032,U_5029),U_5028))
      | ? [U_5025,U_5024] :
          ( ? [U_5023] :
              ( ~ hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(U_5032,U_5024),U_5023))
              & hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(U_5032,sK897(U_5032,U_5031,U_5030,U_5029,U_5028,U_5027)),U_5025))
              & hBOOL(hAPP_f126136681l_bool(hAPP_P982127993l_bool(member1732271180al_val,hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,sK897(U_5032,U_5031,U_5030,U_5029,U_5028,U_5027)),U_5025)),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_5024),U_5023))),U_5027)) )
          & hBOOL(hAPP_f126136681l_bool(hAPP_P982127993l_bool(member1732271180al_val,hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_5031),U_5030)),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,sK897(U_5032,U_5031,U_5030,U_5029,U_5028,U_5027)),U_5025))),transi1906258203al_val(U_5027)))
          & is_bop(U_5024)
          & is_bop(sK897(U_5032,U_5031,U_5030,U_5029,U_5028,U_5027)) )
      | ~ hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(U_5032,U_5031),U_5030))
      | ~ hBOOL(hAPP_f126136681l_bool(hAPP_P982127993l_bool(member1732271180al_val,hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_5031),U_5030)),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_5029),U_5028))),transi1906258203al_val(U_5027))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK897]),skolemize(U_5026,sK897(U_5032,U_5031,U_5030,U_5029,U_5028,U_5027))],[f_926_3]) ).

fof(f_926_5,plain,
    ! [U_5032,U_5031,U_5030,U_5029,U_5028,U_5027] :
      ( hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(U_5032,U_5029),U_5028))
      | ? [U_5024] :
          ( ? [U_5023] :
              ( ~ hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(U_5032,U_5024),U_5023))
              & hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(U_5032,sK897(U_5032,U_5031,U_5030,U_5029,U_5028,U_5027)),sK898(U_5032,U_5031,U_5030,U_5029,U_5028,U_5027)))
              & hBOOL(hAPP_f126136681l_bool(hAPP_P982127993l_bool(member1732271180al_val,hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,sK897(U_5032,U_5031,U_5030,U_5029,U_5028,U_5027)),sK898(U_5032,U_5031,U_5030,U_5029,U_5028,U_5027))),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_5024),U_5023))),U_5027)) )
          & hBOOL(hAPP_f126136681l_bool(hAPP_P982127993l_bool(member1732271180al_val,hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_5031),U_5030)),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,sK897(U_5032,U_5031,U_5030,U_5029,U_5028,U_5027)),sK898(U_5032,U_5031,U_5030,U_5029,U_5028,U_5027)))),transi1906258203al_val(U_5027)))
          & is_bop(U_5024)
          & is_bop(sK897(U_5032,U_5031,U_5030,U_5029,U_5028,U_5027)) )
      | ~ hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(U_5032,U_5031),U_5030))
      | ~ hBOOL(hAPP_f126136681l_bool(hAPP_P982127993l_bool(member1732271180al_val,hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_5031),U_5030)),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_5029),U_5028))),transi1906258203al_val(U_5027))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK898]),skolemize(U_5025,sK898(U_5032,U_5031,U_5030,U_5029,U_5028,U_5027))],[f_926_4]) ).

fof(f_926_6,plain,
    ! [U_5032,U_5031,U_5030,U_5029,U_5028,U_5027] :
      ( hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(U_5032,U_5029),U_5028))
      | ( ? [U_5023] :
            ( ~ hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(U_5032,sK899(U_5032,U_5031,U_5030,U_5029,U_5028,U_5027)),U_5023))
            & hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(U_5032,sK897(U_5032,U_5031,U_5030,U_5029,U_5028,U_5027)),sK898(U_5032,U_5031,U_5030,U_5029,U_5028,U_5027)))
            & hBOOL(hAPP_f126136681l_bool(hAPP_P982127993l_bool(member1732271180al_val,hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,sK897(U_5032,U_5031,U_5030,U_5029,U_5028,U_5027)),sK898(U_5032,U_5031,U_5030,U_5029,U_5028,U_5027))),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,sK899(U_5032,U_5031,U_5030,U_5029,U_5028,U_5027)),U_5023))),U_5027)) )
        & hBOOL(hAPP_f126136681l_bool(hAPP_P982127993l_bool(member1732271180al_val,hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_5031),U_5030)),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,sK897(U_5032,U_5031,U_5030,U_5029,U_5028,U_5027)),sK898(U_5032,U_5031,U_5030,U_5029,U_5028,U_5027)))),transi1906258203al_val(U_5027)))
        & is_bop(sK899(U_5032,U_5031,U_5030,U_5029,U_5028,U_5027))
        & is_bop(sK897(U_5032,U_5031,U_5030,U_5029,U_5028,U_5027)) )
      | ~ hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(U_5032,U_5031),U_5030))
      | ~ hBOOL(hAPP_f126136681l_bool(hAPP_P982127993l_bool(member1732271180al_val,hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_5031),U_5030)),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_5029),U_5028))),transi1906258203al_val(U_5027))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK899]),skolemize(U_5024,sK899(U_5032,U_5031,U_5030,U_5029,U_5028,U_5027))],[f_926_5]) ).

fof(f_926_7,plain,
    ! [U_5032,U_5031,U_5030,U_5029,U_5028,U_5027] :
      ( hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(U_5032,U_5029),U_5028))
      | ( ~ hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(U_5032,sK899(U_5032,U_5031,U_5030,U_5029,U_5028,U_5027)),sK900(U_5032,U_5031,U_5030,U_5029,U_5028,U_5027)))
        & hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(U_5032,sK897(U_5032,U_5031,U_5030,U_5029,U_5028,U_5027)),sK898(U_5032,U_5031,U_5030,U_5029,U_5028,U_5027)))
        & hBOOL(hAPP_f126136681l_bool(hAPP_P982127993l_bool(member1732271180al_val,hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,sK897(U_5032,U_5031,U_5030,U_5029,U_5028,U_5027)),sK898(U_5032,U_5031,U_5030,U_5029,U_5028,U_5027))),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,sK899(U_5032,U_5031,U_5030,U_5029,U_5028,U_5027)),sK900(U_5032,U_5031,U_5030,U_5029,U_5028,U_5027)))),U_5027))
        & hBOOL(hAPP_f126136681l_bool(hAPP_P982127993l_bool(member1732271180al_val,hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_5031),U_5030)),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,sK897(U_5032,U_5031,U_5030,U_5029,U_5028,U_5027)),sK898(U_5032,U_5031,U_5030,U_5029,U_5028,U_5027)))),transi1906258203al_val(U_5027)))
        & is_bop(sK899(U_5032,U_5031,U_5030,U_5029,U_5028,U_5027))
        & is_bop(sK897(U_5032,U_5031,U_5030,U_5029,U_5028,U_5027)) )
      | ~ hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(U_5032,U_5031),U_5030))
      | ~ hBOOL(hAPP_f126136681l_bool(hAPP_P982127993l_bool(member1732271180al_val,hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_5031),U_5030)),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_5029),U_5028))),transi1906258203al_val(U_5027))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK900]),skolemize(U_5023,sK900(U_5032,U_5031,U_5030,U_5029,U_5028,U_5027))],[f_926_6]) ).

cnf(f_926_8,plain,
    ( is_bop(sK897(U_5032,U_5031,U_5030,U_5029,U_5028,U_5027))
    | hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(U_5032,U_5029),U_5028))
    | ~ hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(U_5032,U_5031),U_5030))
    | ~ hBOOL(hAPP_f126136681l_bool(hAPP_P982127993l_bool(member1732271180al_val,hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_5031),U_5030)),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_5029),U_5028))),transi1906258203al_val(U_5027))) ),
    inference(clausify,[status(thm)],[f_926_7]) ).

cnf(f_926_9,plain,
    ( is_bop(sK899(U_5032,U_5031,U_5030,U_5029,U_5028,U_5027))
    | hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(U_5032,U_5029),U_5028))
    | ~ hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(U_5032,U_5031),U_5030))
    | ~ hBOOL(hAPP_f126136681l_bool(hAPP_P982127993l_bool(member1732271180al_val,hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_5031),U_5030)),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_5029),U_5028))),transi1906258203al_val(U_5027))) ),
    inference(clausify,[status(thm)],[f_926_7]) ).

cnf(f_926_10,plain,
    ( hBOOL(hAPP_f126136681l_bool(hAPP_P982127993l_bool(member1732271180al_val,hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_5031),U_5030)),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,sK897(U_5032,U_5031,U_5030,U_5029,U_5028,U_5027)),sK898(U_5032,U_5031,U_5030,U_5029,U_5028,U_5027)))),transi1906258203al_val(U_5027)))
    | hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(U_5032,U_5029),U_5028))
    | ~ hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(U_5032,U_5031),U_5030))
    | ~ hBOOL(hAPP_f126136681l_bool(hAPP_P982127993l_bool(member1732271180al_val,hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_5031),U_5030)),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_5029),U_5028))),transi1906258203al_val(U_5027))) ),
    inference(clausify,[status(thm)],[f_926_7]) ).

cnf(f_926_11,plain,
    ( hBOOL(hAPP_f126136681l_bool(hAPP_P982127993l_bool(member1732271180al_val,hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,sK897(U_5032,U_5031,U_5030,U_5029,U_5028,U_5027)),sK898(U_5032,U_5031,U_5030,U_5029,U_5028,U_5027))),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,sK899(U_5032,U_5031,U_5030,U_5029,U_5028,U_5027)),sK900(U_5032,U_5031,U_5030,U_5029,U_5028,U_5027)))),U_5027))
    | hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(U_5032,U_5029),U_5028))
    | ~ hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(U_5032,U_5031),U_5030))
    | ~ hBOOL(hAPP_f126136681l_bool(hAPP_P982127993l_bool(member1732271180al_val,hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_5031),U_5030)),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_5029),U_5028))),transi1906258203al_val(U_5027))) ),
    inference(clausify,[status(thm)],[f_926_7]) ).

cnf(f_926_12,plain,
    ( hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(U_5032,sK897(U_5032,U_5031,U_5030,U_5029,U_5028,U_5027)),sK898(U_5032,U_5031,U_5030,U_5029,U_5028,U_5027)))
    | hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(U_5032,U_5029),U_5028))
    | ~ hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(U_5032,U_5031),U_5030))
    | ~ hBOOL(hAPP_f126136681l_bool(hAPP_P982127993l_bool(member1732271180al_val,hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_5031),U_5030)),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_5029),U_5028))),transi1906258203al_val(U_5027))) ),
    inference(clausify,[status(thm)],[f_926_7]) ).

cnf(f_926_13,plain,
    ( ~ hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(U_5032,sK899(U_5032,U_5031,U_5030,U_5029,U_5028,U_5027)),sK900(U_5032,U_5031,U_5030,U_5029,U_5028,U_5027)))
    | hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(U_5032,U_5029),U_5028))
    | ~ hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(U_5032,U_5031),U_5030))
    | ~ hBOOL(hAPP_f126136681l_bool(hAPP_P982127993l_bool(member1732271180al_val,hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_5031),U_5030)),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_5029),U_5028))),transi1906258203al_val(U_5027))) ),
    inference(clausify,[status(thm)],[f_926_7]) ).

fof(f_927_1,plain,
    ! [Pa,Ax,Ay,Bx,By,R_1] :
      ( hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(Pa,Bx),By))
      | ? [A_1,B_2,Aa,Ba] :
          ( ~ hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(Pa,Aa),Ba))
          & hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(Pa,A_1),B_2))
          & hBOOL(hAPP_f851858423l_bool(hAPP_P786771093l_bool(member794220506t_char,hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A_1),B_2)),hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,Aa),Ba))),R_1))
          & hBOOL(hAPP_f851858423l_bool(hAPP_P786771093l_bool(member794220506t_char,hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,Ax),Ay)),hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A_1),B_2))),transi1095029602t_char(R_1))) )
      | ~ hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(Pa,Ax),Ay))
      | ~ hBOOL(hAPP_f851858423l_bool(hAPP_P786771093l_bool(member794220506t_char,hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,Ax),Ay)),hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,Bx),By))),transi1095029602t_char(R_1))) ),
    inference(fof_nnf,[status(thm)],[fact_785_rtrancl__induct2]) ).

fof(f_927_2,plain,
    ! [U_5042,U_5041,U_5040,U_5039,U_5038,U_5037] :
      ( hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(U_5042,U_5039),U_5038))
      | ? [U_5036,U_5035,U_5034,U_5033] :
          ( ~ hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(U_5042,U_5034),U_5033))
          & hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(U_5042,U_5036),U_5035))
          & hBOOL(hAPP_f851858423l_bool(hAPP_P786771093l_bool(member794220506t_char,hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_5036),U_5035)),hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_5034),U_5033))),U_5037))
          & hBOOL(hAPP_f851858423l_bool(hAPP_P786771093l_bool(member794220506t_char,hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_5041),U_5040)),hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_5036),U_5035))),transi1095029602t_char(U_5037))) )
      | ~ hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(U_5042,U_5041),U_5040))
      | ~ hBOOL(hAPP_f851858423l_bool(hAPP_P786771093l_bool(member794220506t_char,hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_5041),U_5040)),hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_5039),U_5038))),transi1095029602t_char(U_5037))) ),
    inference(variable_rename,[status(thm)],[f_927_1]) ).

fof(f_927_3,plain,
    ! [U_5042,U_5041,U_5040,U_5039,U_5038,U_5037] :
      ( hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(U_5042,U_5039),U_5038))
      | ? [U_5036,U_5035] :
          ( ? [U_5034,U_5033] :
              ( ~ hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(U_5042,U_5034),U_5033))
              & hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(U_5042,U_5036),U_5035))
              & hBOOL(hAPP_f851858423l_bool(hAPP_P786771093l_bool(member794220506t_char,hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_5036),U_5035)),hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_5034),U_5033))),U_5037)) )
          & hBOOL(hAPP_f851858423l_bool(hAPP_P786771093l_bool(member794220506t_char,hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_5041),U_5040)),hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_5036),U_5035))),transi1095029602t_char(U_5037))) )
      | ~ hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(U_5042,U_5041),U_5040))
      | ~ hBOOL(hAPP_f851858423l_bool(hAPP_P786771093l_bool(member794220506t_char,hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_5041),U_5040)),hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_5039),U_5038))),transi1095029602t_char(U_5037))) ),
    inference(miniscope,[status(thm)],[f_927_2]) ).

fof(f_927_4,plain,
    ! [U_5042,U_5041,U_5040,U_5039,U_5038,U_5037] :
      ( hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(U_5042,U_5039),U_5038))
      | ? [U_5035] :
          ( ? [U_5034,U_5033] :
              ( ~ hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(U_5042,U_5034),U_5033))
              & hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(U_5042,sK901(U_5042,U_5041,U_5040,U_5039,U_5038,U_5037)),U_5035))
              & hBOOL(hAPP_f851858423l_bool(hAPP_P786771093l_bool(member794220506t_char,hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,sK901(U_5042,U_5041,U_5040,U_5039,U_5038,U_5037)),U_5035)),hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_5034),U_5033))),U_5037)) )
          & hBOOL(hAPP_f851858423l_bool(hAPP_P786771093l_bool(member794220506t_char,hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_5041),U_5040)),hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,sK901(U_5042,U_5041,U_5040,U_5039,U_5038,U_5037)),U_5035))),transi1095029602t_char(U_5037))) )
      | ~ hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(U_5042,U_5041),U_5040))
      | ~ hBOOL(hAPP_f851858423l_bool(hAPP_P786771093l_bool(member794220506t_char,hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_5041),U_5040)),hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_5039),U_5038))),transi1095029602t_char(U_5037))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK901]),skolemize(U_5036,sK901(U_5042,U_5041,U_5040,U_5039,U_5038,U_5037))],[f_927_3]) ).

fof(f_927_5,plain,
    ! [U_5042,U_5041,U_5040,U_5039,U_5038,U_5037] :
      ( hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(U_5042,U_5039),U_5038))
      | ( ? [U_5034,U_5033] :
            ( ~ hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(U_5042,U_5034),U_5033))
            & hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(U_5042,sK901(U_5042,U_5041,U_5040,U_5039,U_5038,U_5037)),sK902(U_5042,U_5041,U_5040,U_5039,U_5038,U_5037)))
            & hBOOL(hAPP_f851858423l_bool(hAPP_P786771093l_bool(member794220506t_char,hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,sK901(U_5042,U_5041,U_5040,U_5039,U_5038,U_5037)),sK902(U_5042,U_5041,U_5040,U_5039,U_5038,U_5037))),hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_5034),U_5033))),U_5037)) )
        & hBOOL(hAPP_f851858423l_bool(hAPP_P786771093l_bool(member794220506t_char,hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_5041),U_5040)),hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,sK901(U_5042,U_5041,U_5040,U_5039,U_5038,U_5037)),sK902(U_5042,U_5041,U_5040,U_5039,U_5038,U_5037)))),transi1095029602t_char(U_5037))) )
      | ~ hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(U_5042,U_5041),U_5040))
      | ~ hBOOL(hAPP_f851858423l_bool(hAPP_P786771093l_bool(member794220506t_char,hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_5041),U_5040)),hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_5039),U_5038))),transi1095029602t_char(U_5037))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK902]),skolemize(U_5035,sK902(U_5042,U_5041,U_5040,U_5039,U_5038,U_5037))],[f_927_4]) ).

fof(f_927_6,plain,
    ! [U_5042,U_5041,U_5040,U_5039,U_5038,U_5037] :
      ( hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(U_5042,U_5039),U_5038))
      | ( ? [U_5033] :
            ( ~ hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(U_5042,sK903(U_5042,U_5041,U_5040,U_5039,U_5038,U_5037)),U_5033))
            & hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(U_5042,sK901(U_5042,U_5041,U_5040,U_5039,U_5038,U_5037)),sK902(U_5042,U_5041,U_5040,U_5039,U_5038,U_5037)))
            & hBOOL(hAPP_f851858423l_bool(hAPP_P786771093l_bool(member794220506t_char,hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,sK901(U_5042,U_5041,U_5040,U_5039,U_5038,U_5037)),sK902(U_5042,U_5041,U_5040,U_5039,U_5038,U_5037))),hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,sK903(U_5042,U_5041,U_5040,U_5039,U_5038,U_5037)),U_5033))),U_5037)) )
        & hBOOL(hAPP_f851858423l_bool(hAPP_P786771093l_bool(member794220506t_char,hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_5041),U_5040)),hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,sK901(U_5042,U_5041,U_5040,U_5039,U_5038,U_5037)),sK902(U_5042,U_5041,U_5040,U_5039,U_5038,U_5037)))),transi1095029602t_char(U_5037))) )
      | ~ hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(U_5042,U_5041),U_5040))
      | ~ hBOOL(hAPP_f851858423l_bool(hAPP_P786771093l_bool(member794220506t_char,hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_5041),U_5040)),hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_5039),U_5038))),transi1095029602t_char(U_5037))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK903]),skolemize(U_5034,sK903(U_5042,U_5041,U_5040,U_5039,U_5038,U_5037))],[f_927_5]) ).

fof(f_927_7,plain,
    ! [U_5042,U_5041,U_5040,U_5039,U_5038,U_5037] :
      ( hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(U_5042,U_5039),U_5038))
      | ( ~ hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(U_5042,sK903(U_5042,U_5041,U_5040,U_5039,U_5038,U_5037)),sK904(U_5042,U_5041,U_5040,U_5039,U_5038,U_5037)))
        & hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(U_5042,sK901(U_5042,U_5041,U_5040,U_5039,U_5038,U_5037)),sK902(U_5042,U_5041,U_5040,U_5039,U_5038,U_5037)))
        & hBOOL(hAPP_f851858423l_bool(hAPP_P786771093l_bool(member794220506t_char,hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,sK901(U_5042,U_5041,U_5040,U_5039,U_5038,U_5037)),sK902(U_5042,U_5041,U_5040,U_5039,U_5038,U_5037))),hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,sK903(U_5042,U_5041,U_5040,U_5039,U_5038,U_5037)),sK904(U_5042,U_5041,U_5040,U_5039,U_5038,U_5037)))),U_5037))
        & hBOOL(hAPP_f851858423l_bool(hAPP_P786771093l_bool(member794220506t_char,hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_5041),U_5040)),hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,sK901(U_5042,U_5041,U_5040,U_5039,U_5038,U_5037)),sK902(U_5042,U_5041,U_5040,U_5039,U_5038,U_5037)))),transi1095029602t_char(U_5037))) )
      | ~ hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(U_5042,U_5041),U_5040))
      | ~ hBOOL(hAPP_f851858423l_bool(hAPP_P786771093l_bool(member794220506t_char,hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_5041),U_5040)),hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_5039),U_5038))),transi1095029602t_char(U_5037))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK904]),skolemize(U_5033,sK904(U_5042,U_5041,U_5040,U_5039,U_5038,U_5037))],[f_927_6]) ).

cnf(f_927_8,plain,
    ( hBOOL(hAPP_f851858423l_bool(hAPP_P786771093l_bool(member794220506t_char,hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_5041),U_5040)),hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,sK901(U_5042,U_5041,U_5040,U_5039,U_5038,U_5037)),sK902(U_5042,U_5041,U_5040,U_5039,U_5038,U_5037)))),transi1095029602t_char(U_5037)))
    | hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(U_5042,U_5039),U_5038))
    | ~ hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(U_5042,U_5041),U_5040))
    | ~ hBOOL(hAPP_f851858423l_bool(hAPP_P786771093l_bool(member794220506t_char,hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_5041),U_5040)),hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_5039),U_5038))),transi1095029602t_char(U_5037))) ),
    inference(clausify,[status(thm)],[f_927_7]) ).

cnf(f_927_9,plain,
    ( hBOOL(hAPP_f851858423l_bool(hAPP_P786771093l_bool(member794220506t_char,hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,sK901(U_5042,U_5041,U_5040,U_5039,U_5038,U_5037)),sK902(U_5042,U_5041,U_5040,U_5039,U_5038,U_5037))),hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,sK903(U_5042,U_5041,U_5040,U_5039,U_5038,U_5037)),sK904(U_5042,U_5041,U_5040,U_5039,U_5038,U_5037)))),U_5037))
    | hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(U_5042,U_5039),U_5038))
    | ~ hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(U_5042,U_5041),U_5040))
    | ~ hBOOL(hAPP_f851858423l_bool(hAPP_P786771093l_bool(member794220506t_char,hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_5041),U_5040)),hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_5039),U_5038))),transi1095029602t_char(U_5037))) ),
    inference(clausify,[status(thm)],[f_927_7]) ).

cnf(f_927_10,plain,
    ( hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(U_5042,sK901(U_5042,U_5041,U_5040,U_5039,U_5038,U_5037)),sK902(U_5042,U_5041,U_5040,U_5039,U_5038,U_5037)))
    | hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(U_5042,U_5039),U_5038))
    | ~ hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(U_5042,U_5041),U_5040))
    | ~ hBOOL(hAPP_f851858423l_bool(hAPP_P786771093l_bool(member794220506t_char,hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_5041),U_5040)),hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_5039),U_5038))),transi1095029602t_char(U_5037))) ),
    inference(clausify,[status(thm)],[f_927_7]) ).

cnf(f_927_11,plain,
    ( ~ hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(U_5042,sK903(U_5042,U_5041,U_5040,U_5039,U_5038,U_5037)),sK904(U_5042,U_5041,U_5040,U_5039,U_5038,U_5037)))
    | hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(U_5042,U_5039),U_5038))
    | ~ hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(U_5042,U_5041),U_5040))
    | ~ hBOOL(hAPP_f851858423l_bool(hAPP_P786771093l_bool(member794220506t_char,hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_5041),U_5040)),hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_5039),U_5038))),transi1095029602t_char(U_5037))) ),
    inference(clausify,[status(thm)],[f_927_7]) ).

fof(f_928_1,plain,
    ! [Pa,Ax,Ay,Bx,By,R_1] :
      ( hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(Pa,Bx),By))
      | ? [A_1,B_2,Aa,Ba] :
          ( ~ hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(Pa,Aa),Ba))
          & hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(Pa,A_1),B_2))
          & hBOOL(hAPP_f665343921l_bool(hAPP_P502294281l_bool(member1322055188on_val,hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,A_1),B_2)),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,Aa),Ba))),R_1))
          & hBOOL(hAPP_f665343921l_bool(hAPP_P502294281l_bool(member1322055188on_val,hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,Ax),Ay)),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,A_1),B_2))),transi61620055on_val(R_1))) )
      | ~ hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(Pa,Ax),Ay))
      | ~ hBOOL(hAPP_f665343921l_bool(hAPP_P502294281l_bool(member1322055188on_val,hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,Ax),Ay)),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,Bx),By))),transi61620055on_val(R_1))) ),
    inference(fof_nnf,[status(thm)],[fact_786_rtrancl__induct2]) ).

fof(f_928_2,plain,
    ! [U_5052,U_5051,U_5050,U_5049,U_5048,U_5047] :
      ( hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(U_5052,U_5049),U_5048))
      | ? [U_5046,U_5045,U_5044,U_5043] :
          ( ~ hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(U_5052,U_5044),U_5043))
          & hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(U_5052,U_5046),U_5045))
          & hBOOL(hAPP_f665343921l_bool(hAPP_P502294281l_bool(member1322055188on_val,hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_5046),U_5045)),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_5044),U_5043))),U_5047))
          & hBOOL(hAPP_f665343921l_bool(hAPP_P502294281l_bool(member1322055188on_val,hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_5051),U_5050)),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_5046),U_5045))),transi61620055on_val(U_5047))) )
      | ~ hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(U_5052,U_5051),U_5050))
      | ~ hBOOL(hAPP_f665343921l_bool(hAPP_P502294281l_bool(member1322055188on_val,hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_5051),U_5050)),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_5049),U_5048))),transi61620055on_val(U_5047))) ),
    inference(variable_rename,[status(thm)],[f_928_1]) ).

fof(f_928_3,plain,
    ! [U_5052,U_5051,U_5050,U_5049,U_5048,U_5047] :
      ( hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(U_5052,U_5049),U_5048))
      | ? [U_5046,U_5045] :
          ( ? [U_5044,U_5043] :
              ( ~ hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(U_5052,U_5044),U_5043))
              & hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(U_5052,U_5046),U_5045))
              & hBOOL(hAPP_f665343921l_bool(hAPP_P502294281l_bool(member1322055188on_val,hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_5046),U_5045)),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_5044),U_5043))),U_5047)) )
          & hBOOL(hAPP_f665343921l_bool(hAPP_P502294281l_bool(member1322055188on_val,hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_5051),U_5050)),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_5046),U_5045))),transi61620055on_val(U_5047))) )
      | ~ hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(U_5052,U_5051),U_5050))
      | ~ hBOOL(hAPP_f665343921l_bool(hAPP_P502294281l_bool(member1322055188on_val,hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_5051),U_5050)),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_5049),U_5048))),transi61620055on_val(U_5047))) ),
    inference(miniscope,[status(thm)],[f_928_2]) ).

fof(f_928_4,plain,
    ! [U_5052,U_5051,U_5050,U_5049,U_5048,U_5047] :
      ( hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(U_5052,U_5049),U_5048))
      | ? [U_5045] :
          ( ? [U_5044,U_5043] :
              ( ~ hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(U_5052,U_5044),U_5043))
              & hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(U_5052,sK905(U_5052,U_5051,U_5050,U_5049,U_5048,U_5047)),U_5045))
              & hBOOL(hAPP_f665343921l_bool(hAPP_P502294281l_bool(member1322055188on_val,hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,sK905(U_5052,U_5051,U_5050,U_5049,U_5048,U_5047)),U_5045)),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_5044),U_5043))),U_5047)) )
          & hBOOL(hAPP_f665343921l_bool(hAPP_P502294281l_bool(member1322055188on_val,hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_5051),U_5050)),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,sK905(U_5052,U_5051,U_5050,U_5049,U_5048,U_5047)),U_5045))),transi61620055on_val(U_5047))) )
      | ~ hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(U_5052,U_5051),U_5050))
      | ~ hBOOL(hAPP_f665343921l_bool(hAPP_P502294281l_bool(member1322055188on_val,hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_5051),U_5050)),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_5049),U_5048))),transi61620055on_val(U_5047))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK905]),skolemize(U_5046,sK905(U_5052,U_5051,U_5050,U_5049,U_5048,U_5047))],[f_928_3]) ).

fof(f_928_5,plain,
    ! [U_5052,U_5051,U_5050,U_5049,U_5048,U_5047] :
      ( hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(U_5052,U_5049),U_5048))
      | ( ? [U_5044,U_5043] :
            ( ~ hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(U_5052,U_5044),U_5043))
            & hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(U_5052,sK905(U_5052,U_5051,U_5050,U_5049,U_5048,U_5047)),sK906(U_5052,U_5051,U_5050,U_5049,U_5048,U_5047)))
            & hBOOL(hAPP_f665343921l_bool(hAPP_P502294281l_bool(member1322055188on_val,hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,sK905(U_5052,U_5051,U_5050,U_5049,U_5048,U_5047)),sK906(U_5052,U_5051,U_5050,U_5049,U_5048,U_5047))),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_5044),U_5043))),U_5047)) )
        & hBOOL(hAPP_f665343921l_bool(hAPP_P502294281l_bool(member1322055188on_val,hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_5051),U_5050)),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,sK905(U_5052,U_5051,U_5050,U_5049,U_5048,U_5047)),sK906(U_5052,U_5051,U_5050,U_5049,U_5048,U_5047)))),transi61620055on_val(U_5047))) )
      | ~ hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(U_5052,U_5051),U_5050))
      | ~ hBOOL(hAPP_f665343921l_bool(hAPP_P502294281l_bool(member1322055188on_val,hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_5051),U_5050)),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_5049),U_5048))),transi61620055on_val(U_5047))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK906]),skolemize(U_5045,sK906(U_5052,U_5051,U_5050,U_5049,U_5048,U_5047))],[f_928_4]) ).

fof(f_928_6,plain,
    ! [U_5052,U_5051,U_5050,U_5049,U_5048,U_5047] :
      ( hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(U_5052,U_5049),U_5048))
      | ( ? [U_5043] :
            ( ~ hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(U_5052,sK907(U_5052,U_5051,U_5050,U_5049,U_5048,U_5047)),U_5043))
            & hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(U_5052,sK905(U_5052,U_5051,U_5050,U_5049,U_5048,U_5047)),sK906(U_5052,U_5051,U_5050,U_5049,U_5048,U_5047)))
            & hBOOL(hAPP_f665343921l_bool(hAPP_P502294281l_bool(member1322055188on_val,hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,sK905(U_5052,U_5051,U_5050,U_5049,U_5048,U_5047)),sK906(U_5052,U_5051,U_5050,U_5049,U_5048,U_5047))),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,sK907(U_5052,U_5051,U_5050,U_5049,U_5048,U_5047)),U_5043))),U_5047)) )
        & hBOOL(hAPP_f665343921l_bool(hAPP_P502294281l_bool(member1322055188on_val,hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_5051),U_5050)),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,sK905(U_5052,U_5051,U_5050,U_5049,U_5048,U_5047)),sK906(U_5052,U_5051,U_5050,U_5049,U_5048,U_5047)))),transi61620055on_val(U_5047))) )
      | ~ hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(U_5052,U_5051),U_5050))
      | ~ hBOOL(hAPP_f665343921l_bool(hAPP_P502294281l_bool(member1322055188on_val,hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_5051),U_5050)),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_5049),U_5048))),transi61620055on_val(U_5047))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK907]),skolemize(U_5044,sK907(U_5052,U_5051,U_5050,U_5049,U_5048,U_5047))],[f_928_5]) ).

fof(f_928_7,plain,
    ! [U_5052,U_5051,U_5050,U_5049,U_5048,U_5047] :
      ( hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(U_5052,U_5049),U_5048))
      | ( ~ hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(U_5052,sK907(U_5052,U_5051,U_5050,U_5049,U_5048,U_5047)),sK908(U_5052,U_5051,U_5050,U_5049,U_5048,U_5047)))
        & hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(U_5052,sK905(U_5052,U_5051,U_5050,U_5049,U_5048,U_5047)),sK906(U_5052,U_5051,U_5050,U_5049,U_5048,U_5047)))
        & hBOOL(hAPP_f665343921l_bool(hAPP_P502294281l_bool(member1322055188on_val,hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,sK905(U_5052,U_5051,U_5050,U_5049,U_5048,U_5047)),sK906(U_5052,U_5051,U_5050,U_5049,U_5048,U_5047))),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,sK907(U_5052,U_5051,U_5050,U_5049,U_5048,U_5047)),sK908(U_5052,U_5051,U_5050,U_5049,U_5048,U_5047)))),U_5047))
        & hBOOL(hAPP_f665343921l_bool(hAPP_P502294281l_bool(member1322055188on_val,hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_5051),U_5050)),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,sK905(U_5052,U_5051,U_5050,U_5049,U_5048,U_5047)),sK906(U_5052,U_5051,U_5050,U_5049,U_5048,U_5047)))),transi61620055on_val(U_5047))) )
      | ~ hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(U_5052,U_5051),U_5050))
      | ~ hBOOL(hAPP_f665343921l_bool(hAPP_P502294281l_bool(member1322055188on_val,hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_5051),U_5050)),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_5049),U_5048))),transi61620055on_val(U_5047))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK908]),skolemize(U_5043,sK908(U_5052,U_5051,U_5050,U_5049,U_5048,U_5047))],[f_928_6]) ).

cnf(f_928_8,plain,
    ( hBOOL(hAPP_f665343921l_bool(hAPP_P502294281l_bool(member1322055188on_val,hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_5051),U_5050)),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,sK905(U_5052,U_5051,U_5050,U_5049,U_5048,U_5047)),sK906(U_5052,U_5051,U_5050,U_5049,U_5048,U_5047)))),transi61620055on_val(U_5047)))
    | hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(U_5052,U_5049),U_5048))
    | ~ hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(U_5052,U_5051),U_5050))
    | ~ hBOOL(hAPP_f665343921l_bool(hAPP_P502294281l_bool(member1322055188on_val,hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_5051),U_5050)),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_5049),U_5048))),transi61620055on_val(U_5047))) ),
    inference(clausify,[status(thm)],[f_928_7]) ).

cnf(f_928_9,plain,
    ( hBOOL(hAPP_f665343921l_bool(hAPP_P502294281l_bool(member1322055188on_val,hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,sK905(U_5052,U_5051,U_5050,U_5049,U_5048,U_5047)),sK906(U_5052,U_5051,U_5050,U_5049,U_5048,U_5047))),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,sK907(U_5052,U_5051,U_5050,U_5049,U_5048,U_5047)),sK908(U_5052,U_5051,U_5050,U_5049,U_5048,U_5047)))),U_5047))
    | hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(U_5052,U_5049),U_5048))
    | ~ hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(U_5052,U_5051),U_5050))
    | ~ hBOOL(hAPP_f665343921l_bool(hAPP_P502294281l_bool(member1322055188on_val,hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_5051),U_5050)),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_5049),U_5048))),transi61620055on_val(U_5047))) ),
    inference(clausify,[status(thm)],[f_928_7]) ).

cnf(f_928_10,plain,
    ( hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(U_5052,sK905(U_5052,U_5051,U_5050,U_5049,U_5048,U_5047)),sK906(U_5052,U_5051,U_5050,U_5049,U_5048,U_5047)))
    | hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(U_5052,U_5049),U_5048))
    | ~ hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(U_5052,U_5051),U_5050))
    | ~ hBOOL(hAPP_f665343921l_bool(hAPP_P502294281l_bool(member1322055188on_val,hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_5051),U_5050)),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_5049),U_5048))),transi61620055on_val(U_5047))) ),
    inference(clausify,[status(thm)],[f_928_7]) ).

cnf(f_928_11,plain,
    ( ~ hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(U_5052,sK907(U_5052,U_5051,U_5050,U_5049,U_5048,U_5047)),sK908(U_5052,U_5051,U_5050,U_5049,U_5048,U_5047)))
    | hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(U_5052,U_5049),U_5048))
    | ~ hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(U_5052,U_5051),U_5050))
    | ~ hBOOL(hAPP_f665343921l_bool(hAPP_P502294281l_bool(member1322055188on_val,hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_5051),U_5050)),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_5049),U_5048))),transi61620055on_val(U_5047))) ),
    inference(clausify,[status(thm)],[f_928_7]) ).

fof(f_929_1,plain,
    ! [Pa,Ax,Ay,Bx,By,R_1] :
      ( hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(Pa,Bx),By))
      | ? [A_1,B_2,Aa,Ba] :
          ( ~ hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(Pa,Aa),Ba))
          & hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(Pa,A_1),B_2))
          & hBOOL(hAPP_f1297673713l_bool(hAPP_P240409993l_bool(member563141460on_val,hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A_1),B_2)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Aa),Ba))),R_1))
          & hBOOL(hAPP_f1297673713l_bool(hAPP_P240409993l_bool(member563141460on_val,hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Ax),Ay)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A_1),B_2))),transi921647814on_val(R_1))) )
      | ~ hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(Pa,Ax),Ay))
      | ~ hBOOL(hAPP_f1297673713l_bool(hAPP_P240409993l_bool(member563141460on_val,hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Ax),Ay)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Bx),By))),transi921647814on_val(R_1))) ),
    inference(fof_nnf,[status(thm)],[fact_787_rtrancl__induct2]) ).

fof(f_929_2,plain,
    ! [U_5062,U_5061,U_5060,U_5059,U_5058,U_5057] :
      ( hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(U_5062,U_5059),U_5058))
      | ? [U_5056,U_5055,U_5054,U_5053] :
          ( ~ hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(U_5062,U_5054),U_5053))
          & hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(U_5062,U_5056),U_5055))
          & hBOOL(hAPP_f1297673713l_bool(hAPP_P240409993l_bool(member563141460on_val,hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_5056),U_5055)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_5054),U_5053))),U_5057))
          & hBOOL(hAPP_f1297673713l_bool(hAPP_P240409993l_bool(member563141460on_val,hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_5061),U_5060)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_5056),U_5055))),transi921647814on_val(U_5057))) )
      | ~ hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(U_5062,U_5061),U_5060))
      | ~ hBOOL(hAPP_f1297673713l_bool(hAPP_P240409993l_bool(member563141460on_val,hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_5061),U_5060)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_5059),U_5058))),transi921647814on_val(U_5057))) ),
    inference(variable_rename,[status(thm)],[f_929_1]) ).

fof(f_929_3,plain,
    ! [U_5062,U_5061,U_5060,U_5059,U_5058,U_5057] :
      ( hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(U_5062,U_5059),U_5058))
      | ? [U_5056,U_5055] :
          ( ? [U_5054,U_5053] :
              ( ~ hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(U_5062,U_5054),U_5053))
              & hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(U_5062,U_5056),U_5055))
              & hBOOL(hAPP_f1297673713l_bool(hAPP_P240409993l_bool(member563141460on_val,hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_5056),U_5055)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_5054),U_5053))),U_5057)) )
          & hBOOL(hAPP_f1297673713l_bool(hAPP_P240409993l_bool(member563141460on_val,hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_5061),U_5060)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_5056),U_5055))),transi921647814on_val(U_5057))) )
      | ~ hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(U_5062,U_5061),U_5060))
      | ~ hBOOL(hAPP_f1297673713l_bool(hAPP_P240409993l_bool(member563141460on_val,hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_5061),U_5060)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_5059),U_5058))),transi921647814on_val(U_5057))) ),
    inference(miniscope,[status(thm)],[f_929_2]) ).

fof(f_929_4,plain,
    ! [U_5062,U_5061,U_5060,U_5059,U_5058,U_5057] :
      ( hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(U_5062,U_5059),U_5058))
      | ? [U_5055] :
          ( ? [U_5054,U_5053] :
              ( ~ hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(U_5062,U_5054),U_5053))
              & hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(U_5062,sK909(U_5062,U_5061,U_5060,U_5059,U_5058,U_5057)),U_5055))
              & hBOOL(hAPP_f1297673713l_bool(hAPP_P240409993l_bool(member563141460on_val,hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK909(U_5062,U_5061,U_5060,U_5059,U_5058,U_5057)),U_5055)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_5054),U_5053))),U_5057)) )
          & hBOOL(hAPP_f1297673713l_bool(hAPP_P240409993l_bool(member563141460on_val,hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_5061),U_5060)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK909(U_5062,U_5061,U_5060,U_5059,U_5058,U_5057)),U_5055))),transi921647814on_val(U_5057))) )
      | ~ hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(U_5062,U_5061),U_5060))
      | ~ hBOOL(hAPP_f1297673713l_bool(hAPP_P240409993l_bool(member563141460on_val,hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_5061),U_5060)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_5059),U_5058))),transi921647814on_val(U_5057))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK909]),skolemize(U_5056,sK909(U_5062,U_5061,U_5060,U_5059,U_5058,U_5057))],[f_929_3]) ).

fof(f_929_5,plain,
    ! [U_5062,U_5061,U_5060,U_5059,U_5058,U_5057] :
      ( hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(U_5062,U_5059),U_5058))
      | ( ? [U_5054,U_5053] :
            ( ~ hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(U_5062,U_5054),U_5053))
            & hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(U_5062,sK909(U_5062,U_5061,U_5060,U_5059,U_5058,U_5057)),sK910(U_5062,U_5061,U_5060,U_5059,U_5058,U_5057)))
            & hBOOL(hAPP_f1297673713l_bool(hAPP_P240409993l_bool(member563141460on_val,hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK909(U_5062,U_5061,U_5060,U_5059,U_5058,U_5057)),sK910(U_5062,U_5061,U_5060,U_5059,U_5058,U_5057))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_5054),U_5053))),U_5057)) )
        & hBOOL(hAPP_f1297673713l_bool(hAPP_P240409993l_bool(member563141460on_val,hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_5061),U_5060)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK909(U_5062,U_5061,U_5060,U_5059,U_5058,U_5057)),sK910(U_5062,U_5061,U_5060,U_5059,U_5058,U_5057)))),transi921647814on_val(U_5057))) )
      | ~ hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(U_5062,U_5061),U_5060))
      | ~ hBOOL(hAPP_f1297673713l_bool(hAPP_P240409993l_bool(member563141460on_val,hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_5061),U_5060)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_5059),U_5058))),transi921647814on_val(U_5057))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK910]),skolemize(U_5055,sK910(U_5062,U_5061,U_5060,U_5059,U_5058,U_5057))],[f_929_4]) ).

fof(f_929_6,plain,
    ! [U_5062,U_5061,U_5060,U_5059,U_5058,U_5057] :
      ( hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(U_5062,U_5059),U_5058))
      | ( ? [U_5053] :
            ( ~ hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(U_5062,sK911(U_5062,U_5061,U_5060,U_5059,U_5058,U_5057)),U_5053))
            & hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(U_5062,sK909(U_5062,U_5061,U_5060,U_5059,U_5058,U_5057)),sK910(U_5062,U_5061,U_5060,U_5059,U_5058,U_5057)))
            & hBOOL(hAPP_f1297673713l_bool(hAPP_P240409993l_bool(member563141460on_val,hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK909(U_5062,U_5061,U_5060,U_5059,U_5058,U_5057)),sK910(U_5062,U_5061,U_5060,U_5059,U_5058,U_5057))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK911(U_5062,U_5061,U_5060,U_5059,U_5058,U_5057)),U_5053))),U_5057)) )
        & hBOOL(hAPP_f1297673713l_bool(hAPP_P240409993l_bool(member563141460on_val,hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_5061),U_5060)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK909(U_5062,U_5061,U_5060,U_5059,U_5058,U_5057)),sK910(U_5062,U_5061,U_5060,U_5059,U_5058,U_5057)))),transi921647814on_val(U_5057))) )
      | ~ hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(U_5062,U_5061),U_5060))
      | ~ hBOOL(hAPP_f1297673713l_bool(hAPP_P240409993l_bool(member563141460on_val,hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_5061),U_5060)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_5059),U_5058))),transi921647814on_val(U_5057))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK911]),skolemize(U_5054,sK911(U_5062,U_5061,U_5060,U_5059,U_5058,U_5057))],[f_929_5]) ).

fof(f_929_7,plain,
    ! [U_5062,U_5061,U_5060,U_5059,U_5058,U_5057] :
      ( hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(U_5062,U_5059),U_5058))
      | ( ~ hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(U_5062,sK911(U_5062,U_5061,U_5060,U_5059,U_5058,U_5057)),sK912(U_5062,U_5061,U_5060,U_5059,U_5058,U_5057)))
        & hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(U_5062,sK909(U_5062,U_5061,U_5060,U_5059,U_5058,U_5057)),sK910(U_5062,U_5061,U_5060,U_5059,U_5058,U_5057)))
        & hBOOL(hAPP_f1297673713l_bool(hAPP_P240409993l_bool(member563141460on_val,hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK909(U_5062,U_5061,U_5060,U_5059,U_5058,U_5057)),sK910(U_5062,U_5061,U_5060,U_5059,U_5058,U_5057))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK911(U_5062,U_5061,U_5060,U_5059,U_5058,U_5057)),sK912(U_5062,U_5061,U_5060,U_5059,U_5058,U_5057)))),U_5057))
        & hBOOL(hAPP_f1297673713l_bool(hAPP_P240409993l_bool(member563141460on_val,hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_5061),U_5060)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK909(U_5062,U_5061,U_5060,U_5059,U_5058,U_5057)),sK910(U_5062,U_5061,U_5060,U_5059,U_5058,U_5057)))),transi921647814on_val(U_5057))) )
      | ~ hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(U_5062,U_5061),U_5060))
      | ~ hBOOL(hAPP_f1297673713l_bool(hAPP_P240409993l_bool(member563141460on_val,hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_5061),U_5060)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_5059),U_5058))),transi921647814on_val(U_5057))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK912]),skolemize(U_5053,sK912(U_5062,U_5061,U_5060,U_5059,U_5058,U_5057))],[f_929_6]) ).

cnf(f_929_8,plain,
    ( hBOOL(hAPP_f1297673713l_bool(hAPP_P240409993l_bool(member563141460on_val,hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_5061),U_5060)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK909(U_5062,U_5061,U_5060,U_5059,U_5058,U_5057)),sK910(U_5062,U_5061,U_5060,U_5059,U_5058,U_5057)))),transi921647814on_val(U_5057)))
    | hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(U_5062,U_5059),U_5058))
    | ~ hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(U_5062,U_5061),U_5060))
    | ~ hBOOL(hAPP_f1297673713l_bool(hAPP_P240409993l_bool(member563141460on_val,hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_5061),U_5060)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_5059),U_5058))),transi921647814on_val(U_5057))) ),
    inference(clausify,[status(thm)],[f_929_7]) ).

cnf(f_929_9,plain,
    ( hBOOL(hAPP_f1297673713l_bool(hAPP_P240409993l_bool(member563141460on_val,hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK909(U_5062,U_5061,U_5060,U_5059,U_5058,U_5057)),sK910(U_5062,U_5061,U_5060,U_5059,U_5058,U_5057))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK911(U_5062,U_5061,U_5060,U_5059,U_5058,U_5057)),sK912(U_5062,U_5061,U_5060,U_5059,U_5058,U_5057)))),U_5057))
    | hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(U_5062,U_5059),U_5058))
    | ~ hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(U_5062,U_5061),U_5060))
    | ~ hBOOL(hAPP_f1297673713l_bool(hAPP_P240409993l_bool(member563141460on_val,hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_5061),U_5060)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_5059),U_5058))),transi921647814on_val(U_5057))) ),
    inference(clausify,[status(thm)],[f_929_7]) ).

cnf(f_929_10,plain,
    ( hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(U_5062,sK909(U_5062,U_5061,U_5060,U_5059,U_5058,U_5057)),sK910(U_5062,U_5061,U_5060,U_5059,U_5058,U_5057)))
    | hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(U_5062,U_5059),U_5058))
    | ~ hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(U_5062,U_5061),U_5060))
    | ~ hBOOL(hAPP_f1297673713l_bool(hAPP_P240409993l_bool(member563141460on_val,hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_5061),U_5060)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_5059),U_5058))),transi921647814on_val(U_5057))) ),
    inference(clausify,[status(thm)],[f_929_7]) ).

cnf(f_929_11,plain,
    ( ~ hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(U_5062,sK911(U_5062,U_5061,U_5060,U_5059,U_5058,U_5057)),sK912(U_5062,U_5061,U_5060,U_5059,U_5058,U_5057)))
    | hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(U_5062,U_5059),U_5058))
    | ~ hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(U_5062,U_5061),U_5060))
    | ~ hBOOL(hAPP_f1297673713l_bool(hAPP_P240409993l_bool(member563141460on_val,hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_5061),U_5060)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_5059),U_5058))),transi921647814on_val(U_5057))) ),
    inference(clausify,[status(thm)],[f_929_7]) ).

fof(f_930_1,plain,
    ! [Pa,Ax,Ay,Bx,By,R_1] :
      ( hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(Pa,Bx),By))
      | ? [A_1,B_2,Aa,Ba] :
          ( ~ hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(Pa,Aa),Ba))
          & hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(Pa,A_1),B_2))
          & hBOOL(hAPP_f1261741735l_bool(hAPP_P1362631157l_bool(member808015754on_val,hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_1),B_2)),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,Aa),Ba))),R_1))
          & hBOOL(hAPP_f1261741735l_bool(hAPP_P1362631157l_bool(member808015754on_val,hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,Ax),Ay)),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_1),B_2))),transi910771962on_val(R_1))) )
      | ~ hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(Pa,Ax),Ay))
      | ~ hBOOL(hAPP_f1261741735l_bool(hAPP_P1362631157l_bool(member808015754on_val,hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,Ax),Ay)),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,Bx),By))),transi910771962on_val(R_1))) ),
    inference(fof_nnf,[status(thm)],[fact_788_rtrancl__induct2]) ).

fof(f_930_2,plain,
    ! [U_5072,U_5071,U_5070,U_5069,U_5068,U_5067] :
      ( hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(U_5072,U_5069),U_5068))
      | ? [U_5066,U_5065,U_5064,U_5063] :
          ( ~ hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(U_5072,U_5064),U_5063))
          & hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(U_5072,U_5066),U_5065))
          & hBOOL(hAPP_f1261741735l_bool(hAPP_P1362631157l_bool(member808015754on_val,hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_5066),U_5065)),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_5064),U_5063))),U_5067))
          & hBOOL(hAPP_f1261741735l_bool(hAPP_P1362631157l_bool(member808015754on_val,hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_5071),U_5070)),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_5066),U_5065))),transi910771962on_val(U_5067))) )
      | ~ hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(U_5072,U_5071),U_5070))
      | ~ hBOOL(hAPP_f1261741735l_bool(hAPP_P1362631157l_bool(member808015754on_val,hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_5071),U_5070)),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_5069),U_5068))),transi910771962on_val(U_5067))) ),
    inference(variable_rename,[status(thm)],[f_930_1]) ).

fof(f_930_3,plain,
    ! [U_5072,U_5071,U_5070,U_5069,U_5068,U_5067] :
      ( hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(U_5072,U_5069),U_5068))
      | ? [U_5066,U_5065] :
          ( ? [U_5064,U_5063] :
              ( ~ hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(U_5072,U_5064),U_5063))
              & hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(U_5072,U_5066),U_5065))
              & hBOOL(hAPP_f1261741735l_bool(hAPP_P1362631157l_bool(member808015754on_val,hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_5066),U_5065)),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_5064),U_5063))),U_5067)) )
          & hBOOL(hAPP_f1261741735l_bool(hAPP_P1362631157l_bool(member808015754on_val,hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_5071),U_5070)),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_5066),U_5065))),transi910771962on_val(U_5067))) )
      | ~ hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(U_5072,U_5071),U_5070))
      | ~ hBOOL(hAPP_f1261741735l_bool(hAPP_P1362631157l_bool(member808015754on_val,hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_5071),U_5070)),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_5069),U_5068))),transi910771962on_val(U_5067))) ),
    inference(miniscope,[status(thm)],[f_930_2]) ).

fof(f_930_4,plain,
    ! [U_5072,U_5071,U_5070,U_5069,U_5068,U_5067] :
      ( hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(U_5072,U_5069),U_5068))
      | ? [U_5065] :
          ( ? [U_5064,U_5063] :
              ( ~ hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(U_5072,U_5064),U_5063))
              & hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(U_5072,sK913(U_5072,U_5071,U_5070,U_5069,U_5068,U_5067)),U_5065))
              & hBOOL(hAPP_f1261741735l_bool(hAPP_P1362631157l_bool(member808015754on_val,hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK913(U_5072,U_5071,U_5070,U_5069,U_5068,U_5067)),U_5065)),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_5064),U_5063))),U_5067)) )
          & hBOOL(hAPP_f1261741735l_bool(hAPP_P1362631157l_bool(member808015754on_val,hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_5071),U_5070)),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK913(U_5072,U_5071,U_5070,U_5069,U_5068,U_5067)),U_5065))),transi910771962on_val(U_5067))) )
      | ~ hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(U_5072,U_5071),U_5070))
      | ~ hBOOL(hAPP_f1261741735l_bool(hAPP_P1362631157l_bool(member808015754on_val,hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_5071),U_5070)),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_5069),U_5068))),transi910771962on_val(U_5067))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK913]),skolemize(U_5066,sK913(U_5072,U_5071,U_5070,U_5069,U_5068,U_5067))],[f_930_3]) ).

fof(f_930_5,plain,
    ! [U_5072,U_5071,U_5070,U_5069,U_5068,U_5067] :
      ( hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(U_5072,U_5069),U_5068))
      | ( ? [U_5064,U_5063] :
            ( ~ hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(U_5072,U_5064),U_5063))
            & hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(U_5072,sK913(U_5072,U_5071,U_5070,U_5069,U_5068,U_5067)),sK914(U_5072,U_5071,U_5070,U_5069,U_5068,U_5067)))
            & hBOOL(hAPP_f1261741735l_bool(hAPP_P1362631157l_bool(member808015754on_val,hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK913(U_5072,U_5071,U_5070,U_5069,U_5068,U_5067)),sK914(U_5072,U_5071,U_5070,U_5069,U_5068,U_5067))),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_5064),U_5063))),U_5067)) )
        & hBOOL(hAPP_f1261741735l_bool(hAPP_P1362631157l_bool(member808015754on_val,hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_5071),U_5070)),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK913(U_5072,U_5071,U_5070,U_5069,U_5068,U_5067)),sK914(U_5072,U_5071,U_5070,U_5069,U_5068,U_5067)))),transi910771962on_val(U_5067))) )
      | ~ hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(U_5072,U_5071),U_5070))
      | ~ hBOOL(hAPP_f1261741735l_bool(hAPP_P1362631157l_bool(member808015754on_val,hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_5071),U_5070)),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_5069),U_5068))),transi910771962on_val(U_5067))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK914]),skolemize(U_5065,sK914(U_5072,U_5071,U_5070,U_5069,U_5068,U_5067))],[f_930_4]) ).

fof(f_930_6,plain,
    ! [U_5072,U_5071,U_5070,U_5069,U_5068,U_5067] :
      ( hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(U_5072,U_5069),U_5068))
      | ( ? [U_5063] :
            ( ~ hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(U_5072,sK915(U_5072,U_5071,U_5070,U_5069,U_5068,U_5067)),U_5063))
            & hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(U_5072,sK913(U_5072,U_5071,U_5070,U_5069,U_5068,U_5067)),sK914(U_5072,U_5071,U_5070,U_5069,U_5068,U_5067)))
            & hBOOL(hAPP_f1261741735l_bool(hAPP_P1362631157l_bool(member808015754on_val,hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK913(U_5072,U_5071,U_5070,U_5069,U_5068,U_5067)),sK914(U_5072,U_5071,U_5070,U_5069,U_5068,U_5067))),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK915(U_5072,U_5071,U_5070,U_5069,U_5068,U_5067)),U_5063))),U_5067)) )
        & hBOOL(hAPP_f1261741735l_bool(hAPP_P1362631157l_bool(member808015754on_val,hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_5071),U_5070)),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK913(U_5072,U_5071,U_5070,U_5069,U_5068,U_5067)),sK914(U_5072,U_5071,U_5070,U_5069,U_5068,U_5067)))),transi910771962on_val(U_5067))) )
      | ~ hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(U_5072,U_5071),U_5070))
      | ~ hBOOL(hAPP_f1261741735l_bool(hAPP_P1362631157l_bool(member808015754on_val,hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_5071),U_5070)),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_5069),U_5068))),transi910771962on_val(U_5067))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK915]),skolemize(U_5064,sK915(U_5072,U_5071,U_5070,U_5069,U_5068,U_5067))],[f_930_5]) ).

fof(f_930_7,plain,
    ! [U_5072,U_5071,U_5070,U_5069,U_5068,U_5067] :
      ( hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(U_5072,U_5069),U_5068))
      | ( ~ hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(U_5072,sK915(U_5072,U_5071,U_5070,U_5069,U_5068,U_5067)),sK916(U_5072,U_5071,U_5070,U_5069,U_5068,U_5067)))
        & hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(U_5072,sK913(U_5072,U_5071,U_5070,U_5069,U_5068,U_5067)),sK914(U_5072,U_5071,U_5070,U_5069,U_5068,U_5067)))
        & hBOOL(hAPP_f1261741735l_bool(hAPP_P1362631157l_bool(member808015754on_val,hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK913(U_5072,U_5071,U_5070,U_5069,U_5068,U_5067)),sK914(U_5072,U_5071,U_5070,U_5069,U_5068,U_5067))),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK915(U_5072,U_5071,U_5070,U_5069,U_5068,U_5067)),sK916(U_5072,U_5071,U_5070,U_5069,U_5068,U_5067)))),U_5067))
        & hBOOL(hAPP_f1261741735l_bool(hAPP_P1362631157l_bool(member808015754on_val,hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_5071),U_5070)),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK913(U_5072,U_5071,U_5070,U_5069,U_5068,U_5067)),sK914(U_5072,U_5071,U_5070,U_5069,U_5068,U_5067)))),transi910771962on_val(U_5067))) )
      | ~ hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(U_5072,U_5071),U_5070))
      | ~ hBOOL(hAPP_f1261741735l_bool(hAPP_P1362631157l_bool(member808015754on_val,hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_5071),U_5070)),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_5069),U_5068))),transi910771962on_val(U_5067))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK916]),skolemize(U_5063,sK916(U_5072,U_5071,U_5070,U_5069,U_5068,U_5067))],[f_930_6]) ).

cnf(f_930_8,plain,
    ( hBOOL(hAPP_f1261741735l_bool(hAPP_P1362631157l_bool(member808015754on_val,hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_5071),U_5070)),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK913(U_5072,U_5071,U_5070,U_5069,U_5068,U_5067)),sK914(U_5072,U_5071,U_5070,U_5069,U_5068,U_5067)))),transi910771962on_val(U_5067)))
    | hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(U_5072,U_5069),U_5068))
    | ~ hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(U_5072,U_5071),U_5070))
    | ~ hBOOL(hAPP_f1261741735l_bool(hAPP_P1362631157l_bool(member808015754on_val,hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_5071),U_5070)),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_5069),U_5068))),transi910771962on_val(U_5067))) ),
    inference(clausify,[status(thm)],[f_930_7]) ).

cnf(f_930_9,plain,
    ( hBOOL(hAPP_f1261741735l_bool(hAPP_P1362631157l_bool(member808015754on_val,hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK913(U_5072,U_5071,U_5070,U_5069,U_5068,U_5067)),sK914(U_5072,U_5071,U_5070,U_5069,U_5068,U_5067))),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK915(U_5072,U_5071,U_5070,U_5069,U_5068,U_5067)),sK916(U_5072,U_5071,U_5070,U_5069,U_5068,U_5067)))),U_5067))
    | hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(U_5072,U_5069),U_5068))
    | ~ hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(U_5072,U_5071),U_5070))
    | ~ hBOOL(hAPP_f1261741735l_bool(hAPP_P1362631157l_bool(member808015754on_val,hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_5071),U_5070)),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_5069),U_5068))),transi910771962on_val(U_5067))) ),
    inference(clausify,[status(thm)],[f_930_7]) ).

cnf(f_930_10,plain,
    ( hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(U_5072,sK913(U_5072,U_5071,U_5070,U_5069,U_5068,U_5067)),sK914(U_5072,U_5071,U_5070,U_5069,U_5068,U_5067)))
    | hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(U_5072,U_5069),U_5068))
    | ~ hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(U_5072,U_5071),U_5070))
    | ~ hBOOL(hAPP_f1261741735l_bool(hAPP_P1362631157l_bool(member808015754on_val,hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_5071),U_5070)),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_5069),U_5068))),transi910771962on_val(U_5067))) ),
    inference(clausify,[status(thm)],[f_930_7]) ).

cnf(f_930_11,plain,
    ( ~ hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(U_5072,sK915(U_5072,U_5071,U_5070,U_5069,U_5068,U_5067)),sK916(U_5072,U_5071,U_5070,U_5069,U_5068,U_5067)))
    | hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(U_5072,U_5069),U_5068))
    | ~ hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(U_5072,U_5071),U_5070))
    | ~ hBOOL(hAPP_f1261741735l_bool(hAPP_P1362631157l_bool(member808015754on_val,hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_5071),U_5070)),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_5069),U_5068))),transi910771962on_val(U_5067))) ),
    inference(clausify,[status(thm)],[f_930_7]) ).

fof(f_931_1,plain,
    ! [Lb,Ea,Eb,Ta,Hb,Pa] :
      ( ? [E_1,S_5] : hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_1),S_5))),red(Pa)))
      | hBOOL(final_list_char(Eb))
      | ~ hBOOL(d_list_char(Eb,hAPP_f363827556r_bool(some_f80346385r_bool,dom_list_char_val(Lb))))
      | ~ hBOOL(wTrt_1(Pa,Hb,Ea,Eb,Ta))
      | ~ hBOOL(hAPP_f61040418l_bool(hconf_97414254t_char(Pa),Hb))
      | ~ hBOOL(wf_pro755087577t_char(wwf_J_mdecl,Pa)) ),
    inference(fof_nnf,[status(thm)],[fact_789_progress]) ).

fof(f_931_2,plain,
    ! [U_5080,U_5079,U_5078,U_5077,U_5076,U_5075] :
      ( ? [U_5074,U_5073] : hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_5078),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_5076),U_5080))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_5074),U_5073))),red(U_5075)))
      | hBOOL(final_list_char(U_5078))
      | ~ hBOOL(d_list_char(U_5078,hAPP_f363827556r_bool(some_f80346385r_bool,dom_list_char_val(U_5080))))
      | ~ hBOOL(wTrt_1(U_5075,U_5076,U_5079,U_5078,U_5077))
      | ~ hBOOL(hAPP_f61040418l_bool(hconf_97414254t_char(U_5075),U_5076))
      | ~ hBOOL(wf_pro755087577t_char(wwf_J_mdecl,U_5075)) ),
    inference(variable_rename,[status(thm)],[f_931_1]) ).

fof(f_931_3,plain,
    ! [U_5080,U_5079,U_5078,U_5077,U_5076,U_5075] :
      ( ? [U_5073] : hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_5078),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_5076),U_5080))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK917(U_5080,U_5079,U_5078,U_5077,U_5076,U_5075)),U_5073))),red(U_5075)))
      | hBOOL(final_list_char(U_5078))
      | ~ hBOOL(d_list_char(U_5078,hAPP_f363827556r_bool(some_f80346385r_bool,dom_list_char_val(U_5080))))
      | ~ hBOOL(wTrt_1(U_5075,U_5076,U_5079,U_5078,U_5077))
      | ~ hBOOL(hAPP_f61040418l_bool(hconf_97414254t_char(U_5075),U_5076))
      | ~ hBOOL(wf_pro755087577t_char(wwf_J_mdecl,U_5075)) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK917]),skolemize(U_5074,sK917(U_5080,U_5079,U_5078,U_5077,U_5076,U_5075))],[f_931_2]) ).

fof(f_931_4,plain,
    ! [U_5080,U_5079,U_5078,U_5077,U_5076,U_5075] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_5078),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_5076),U_5080))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK917(U_5080,U_5079,U_5078,U_5077,U_5076,U_5075)),sK918(U_5080,U_5079,U_5078,U_5077,U_5076,U_5075)))),red(U_5075)))
      | hBOOL(final_list_char(U_5078))
      | ~ hBOOL(d_list_char(U_5078,hAPP_f363827556r_bool(some_f80346385r_bool,dom_list_char_val(U_5080))))
      | ~ hBOOL(wTrt_1(U_5075,U_5076,U_5079,U_5078,U_5077))
      | ~ hBOOL(hAPP_f61040418l_bool(hconf_97414254t_char(U_5075),U_5076))
      | ~ hBOOL(wf_pro755087577t_char(wwf_J_mdecl,U_5075)) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK918]),skolemize(U_5073,sK918(U_5080,U_5079,U_5078,U_5077,U_5076,U_5075))],[f_931_3]) ).

cnf(f_931_5,plain,
    ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_5078),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_5076),U_5080))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,sK917(U_5080,U_5079,U_5078,U_5077,U_5076,U_5075)),sK918(U_5080,U_5079,U_5078,U_5077,U_5076,U_5075)))),red(U_5075)))
    | hBOOL(final_list_char(U_5078))
    | ~ hBOOL(d_list_char(U_5078,hAPP_f363827556r_bool(some_f80346385r_bool,dom_list_char_val(U_5080))))
    | ~ hBOOL(wTrt_1(U_5075,U_5076,U_5079,U_5078,U_5077))
    | ~ hBOOL(hAPP_f61040418l_bool(hconf_97414254t_char(U_5075),U_5076))
    | ~ hBOOL(wf_pro755087577t_char(wwf_J_mdecl,U_5075)) ),
    inference(clausify,[status(thm)],[f_931_4]) ).

fof(f_932_1,plain,
    ! [Y_3] :
      ( ? [A_1] : Y_3 = hAPP_nat_option_nat(some_nat,A_1)
      | Y_3 = none_nat ),
    inference(fof_nnf,[status(thm)],[fact_790_option_Oexhaust]) ).

fof(f_932_2,plain,
    ! [U_5082] :
      ( ? [U_5081] : U_5082 = hAPP_nat_option_nat(some_nat,U_5081)
      | U_5082 = none_nat ),
    inference(variable_rename,[status(thm)],[f_932_1]) ).

fof(f_932_3,plain,
    ! [U_5082] :
      ( U_5082 = hAPP_nat_option_nat(some_nat,sK919(U_5082))
      | U_5082 = none_nat ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK919]),skolemize(U_5081,sK919(U_5082))],[f_932_2]) ).

cnf(f_932_4,plain,
    ( U_5082 = hAPP_nat_option_nat(some_nat,sK919(U_5082))
    | U_5082 = none_nat ),
    inference(clausify,[status(thm)],[f_932_3]) ).

fof(f_933_1,plain,
    ! [Y_3] :
      ( ? [A_1] : Y_3 = hAPP_ty_option_ty(some_ty,A_1)
      | Y_3 = none_ty ),
    inference(fof_nnf,[status(thm)],[fact_791_option_Oexhaust]) ).

fof(f_933_2,plain,
    ! [U_5084] :
      ( ? [U_5083] : U_5084 = hAPP_ty_option_ty(some_ty,U_5083)
      | U_5084 = none_ty ),
    inference(variable_rename,[status(thm)],[f_933_1]) ).

fof(f_933_3,plain,
    ! [U_5084] :
      ( U_5084 = hAPP_ty_option_ty(some_ty,sK920(U_5084))
      | U_5084 = none_ty ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK920]),skolemize(U_5083,sK920(U_5084))],[f_933_2]) ).

cnf(f_933_4,plain,
    ( U_5084 = hAPP_ty_option_ty(some_ty,sK920(U_5084))
    | U_5084 = none_ty ),
    inference(clausify,[status(thm)],[f_933_3]) ).

fof(f_934_1,plain,
    ! [Y_2] :
      ( ? [A_1] : Y_2 = hAPP_P1510515380on_val(some_P948696889on_val,A_1)
      | Y_2 = none_P179726773on_val ),
    inference(fof_nnf,[status(thm)],[fact_792_option_Oexhaust]) ).

fof(f_934_2,plain,
    ! [U_5086] :
      ( ? [U_5085] : U_5086 = hAPP_P1510515380on_val(some_P948696889on_val,U_5085)
      | U_5086 = none_P179726773on_val ),
    inference(variable_rename,[status(thm)],[f_934_1]) ).

fof(f_934_3,plain,
    ! [U_5086] :
      ( U_5086 = hAPP_P1510515380on_val(some_P948696889on_val,sK921(U_5086))
      | U_5086 = none_P179726773on_val ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK921]),skolemize(U_5085,sK921(U_5086))],[f_934_2]) ).

cnf(f_934_4,plain,
    ( U_5086 = hAPP_P1510515380on_val(some_P948696889on_val,sK921(U_5086))
    | U_5086 = none_P179726773on_val ),
    inference(clausify,[status(thm)],[f_934_3]) ).

fof(f_935_1,plain,
    ! [Y_3] :
      ( ? [A_1] : Y_3 = hAPP_val_option_val(some_val,A_1)
      | Y_3 = none_val ),
    inference(fof_nnf,[status(thm)],[fact_793_option_Oexhaust]) ).

fof(f_935_2,plain,
    ! [U_5088] :
      ( ? [U_5087] : U_5088 = hAPP_val_option_val(some_val,U_5087)
      | U_5088 = none_val ),
    inference(variable_rename,[status(thm)],[f_935_1]) ).

fof(f_935_3,plain,
    ! [U_5088] :
      ( U_5088 = hAPP_val_option_val(some_val,sK922(U_5088))
      | U_5088 = none_val ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK922]),skolemize(U_5087,sK922(U_5088))],[f_935_2]) ).

cnf(f_935_4,plain,
    ( U_5088 = hAPP_val_option_val(some_val,sK922(U_5088))
    | U_5088 = none_val ),
    inference(clausify,[status(thm)],[f_935_3]) ).

fof(f_936_1,plain,
    ! [Y_2] :
      ( ? [A_1] : Y_2 = hAPP_f363827556r_bool(some_f80346385r_bool,A_1)
      | Y_2 = none_f478147469r_bool ),
    inference(fof_nnf,[status(thm)],[fact_794_option_Oexhaust]) ).

fof(f_936_2,plain,
    ! [U_5090] :
      ( ? [U_5089] : U_5090 = hAPP_f363827556r_bool(some_f80346385r_bool,U_5089)
      | U_5090 = none_f478147469r_bool ),
    inference(variable_rename,[status(thm)],[f_936_1]) ).

fof(f_936_3,plain,
    ! [U_5090] :
      ( U_5090 = hAPP_f363827556r_bool(some_f80346385r_bool,sK923(U_5090))
      | U_5090 = none_f478147469r_bool ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK923]),skolemize(U_5089,sK923(U_5090))],[f_936_2]) ).

cnf(f_936_4,plain,
    ( U_5090 = hAPP_f363827556r_bool(some_f80346385r_bool,sK923(U_5090))
    | U_5090 = none_f478147469r_bool ),
    inference(clausify,[status(thm)],[f_936_3]) ).

fof(f_937_1,plain,
    ! [X_2] : hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(X_2),X_2)),
    inference(fof_nnf,[status(thm)],[fact_795_order__refl]) ).

fof(f_937_2,plain,
    ! [U_5091] : hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(U_5091),U_5091)),
    inference(variable_rename,[status(thm)],[f_937_1]) ).

cnf(f_937_3,plain,
    hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(U_5091),U_5091)),
    inference(clausify,[status(thm)],[f_937_2]) ).

fof(f_938_1,plain,
    ! [Pa,A,B,R_1] :
      ( hBOOL(hAPP_P71593144l_bool(Pa,B))
      | ? [Y_1,Z] :
          ( ~ hBOOL(hAPP_P71593144l_bool(Pa,Z))
          & hBOOL(hAPP_P71593144l_bool(Pa,Y_1))
          & hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,Y_1),Z)),R_1))
          & hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A),Y_1)),transi374442731on_val(R_1))) )
      | ~ hBOOL(hAPP_P71593144l_bool(Pa,A))
      | ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A),B)),transi374442731on_val(R_1))) ),
    inference(fof_nnf,[status(thm)],[fact_796_rtrancl__induct]) ).

fof(f_938_2,plain,
    ! [U_5097,U_5096,U_5095,U_5094] :
      ( hBOOL(hAPP_P71593144l_bool(U_5097,U_5095))
      | ? [U_5093,U_5092] :
          ( ~ hBOOL(hAPP_P71593144l_bool(U_5097,U_5092))
          & hBOOL(hAPP_P71593144l_bool(U_5097,U_5093))
          & hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_5093),U_5092)),U_5094))
          & hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_5096),U_5093)),transi374442731on_val(U_5094))) )
      | ~ hBOOL(hAPP_P71593144l_bool(U_5097,U_5096))
      | ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_5096),U_5095)),transi374442731on_val(U_5094))) ),
    inference(variable_rename,[status(thm)],[f_938_1]) ).

fof(f_938_3,plain,
    ! [U_5097,U_5096,U_5095,U_5094] :
      ( hBOOL(hAPP_P71593144l_bool(U_5097,U_5095))
      | ? [U_5093] :
          ( ? [U_5092] :
              ( ~ hBOOL(hAPP_P71593144l_bool(U_5097,U_5092))
              & hBOOL(hAPP_P71593144l_bool(U_5097,U_5093))
              & hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_5093),U_5092)),U_5094)) )
          & hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_5096),U_5093)),transi374442731on_val(U_5094))) )
      | ~ hBOOL(hAPP_P71593144l_bool(U_5097,U_5096))
      | ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_5096),U_5095)),transi374442731on_val(U_5094))) ),
    inference(miniscope,[status(thm)],[f_938_2]) ).

fof(f_938_4,plain,
    ! [U_5097,U_5096,U_5095,U_5094] :
      ( hBOOL(hAPP_P71593144l_bool(U_5097,U_5095))
      | ( ? [U_5092] :
            ( ~ hBOOL(hAPP_P71593144l_bool(U_5097,U_5092))
            & hBOOL(hAPP_P71593144l_bool(U_5097,sK924(U_5097,U_5096,U_5095,U_5094)))
            & hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,sK924(U_5097,U_5096,U_5095,U_5094)),U_5092)),U_5094)) )
        & hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_5096),sK924(U_5097,U_5096,U_5095,U_5094))),transi374442731on_val(U_5094))) )
      | ~ hBOOL(hAPP_P71593144l_bool(U_5097,U_5096))
      | ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_5096),U_5095)),transi374442731on_val(U_5094))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK924]),skolemize(U_5093,sK924(U_5097,U_5096,U_5095,U_5094))],[f_938_3]) ).

fof(f_938_5,plain,
    ! [U_5097,U_5096,U_5095,U_5094] :
      ( hBOOL(hAPP_P71593144l_bool(U_5097,U_5095))
      | ( ~ hBOOL(hAPP_P71593144l_bool(U_5097,sK925(U_5097,U_5096,U_5095,U_5094)))
        & hBOOL(hAPP_P71593144l_bool(U_5097,sK924(U_5097,U_5096,U_5095,U_5094)))
        & hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,sK924(U_5097,U_5096,U_5095,U_5094)),sK925(U_5097,U_5096,U_5095,U_5094))),U_5094))
        & hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_5096),sK924(U_5097,U_5096,U_5095,U_5094))),transi374442731on_val(U_5094))) )
      | ~ hBOOL(hAPP_P71593144l_bool(U_5097,U_5096))
      | ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_5096),U_5095)),transi374442731on_val(U_5094))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK925]),skolemize(U_5092,sK925(U_5097,U_5096,U_5095,U_5094))],[f_938_4]) ).

cnf(f_938_6,plain,
    ( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_5096),sK924(U_5097,U_5096,U_5095,U_5094))),transi374442731on_val(U_5094)))
    | hBOOL(hAPP_P71593144l_bool(U_5097,U_5095))
    | ~ hBOOL(hAPP_P71593144l_bool(U_5097,U_5096))
    | ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_5096),U_5095)),transi374442731on_val(U_5094))) ),
    inference(clausify,[status(thm)],[f_938_5]) ).

cnf(f_938_7,plain,
    ( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,sK924(U_5097,U_5096,U_5095,U_5094)),sK925(U_5097,U_5096,U_5095,U_5094))),U_5094))
    | hBOOL(hAPP_P71593144l_bool(U_5097,U_5095))
    | ~ hBOOL(hAPP_P71593144l_bool(U_5097,U_5096))
    | ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_5096),U_5095)),transi374442731on_val(U_5094))) ),
    inference(clausify,[status(thm)],[f_938_5]) ).

cnf(f_938_8,plain,
    ( hBOOL(hAPP_P71593144l_bool(U_5097,sK924(U_5097,U_5096,U_5095,U_5094)))
    | hBOOL(hAPP_P71593144l_bool(U_5097,U_5095))
    | ~ hBOOL(hAPP_P71593144l_bool(U_5097,U_5096))
    | ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_5096),U_5095)),transi374442731on_val(U_5094))) ),
    inference(clausify,[status(thm)],[f_938_5]) ).

cnf(f_938_9,plain,
    ( ~ hBOOL(hAPP_P71593144l_bool(U_5097,sK925(U_5097,U_5096,U_5095,U_5094)))
    | hBOOL(hAPP_P71593144l_bool(U_5097,U_5095))
    | ~ hBOOL(hAPP_P71593144l_bool(U_5097,U_5096))
    | ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_5096),U_5095)),transi374442731on_val(U_5094))) ),
    inference(clausify,[status(thm)],[f_938_5]) ).

fof(f_939_1,plain,
    ! [Pa,A,B,R_1] :
      ( hBOOL(hAPP_list_char_bool(Pa,B))
      | ? [Y_1,Z] :
          ( ~ hBOOL(hAPP_list_char_bool(Pa,Z))
          & hBOOL(hAPP_list_char_bool(Pa,Y_1))
          & hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,Y_1),Z)),R_1))
          & hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A),Y_1)),transi1395422419t_char(R_1))) )
      | ~ hBOOL(hAPP_list_char_bool(Pa,A))
      | ~ hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A),B)),transi1395422419t_char(R_1))) ),
    inference(fof_nnf,[status(thm)],[fact_797_rtrancl__induct]) ).

fof(f_939_2,plain,
    ! [U_5103,U_5102,U_5101,U_5100] :
      ( hBOOL(hAPP_list_char_bool(U_5103,U_5101))
      | ? [U_5099,U_5098] :
          ( ~ hBOOL(hAPP_list_char_bool(U_5103,U_5098))
          & hBOOL(hAPP_list_char_bool(U_5103,U_5099))
          & hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_5099),U_5098)),U_5100))
          & hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_5102),U_5099)),transi1395422419t_char(U_5100))) )
      | ~ hBOOL(hAPP_list_char_bool(U_5103,U_5102))
      | ~ hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_5102),U_5101)),transi1395422419t_char(U_5100))) ),
    inference(variable_rename,[status(thm)],[f_939_1]) ).

fof(f_939_3,plain,
    ! [U_5103,U_5102,U_5101,U_5100] :
      ( hBOOL(hAPP_list_char_bool(U_5103,U_5101))
      | ? [U_5099] :
          ( ? [U_5098] :
              ( ~ hBOOL(hAPP_list_char_bool(U_5103,U_5098))
              & hBOOL(hAPP_list_char_bool(U_5103,U_5099))
              & hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_5099),U_5098)),U_5100)) )
          & hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_5102),U_5099)),transi1395422419t_char(U_5100))) )
      | ~ hBOOL(hAPP_list_char_bool(U_5103,U_5102))
      | ~ hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_5102),U_5101)),transi1395422419t_char(U_5100))) ),
    inference(miniscope,[status(thm)],[f_939_2]) ).

fof(f_939_4,plain,
    ! [U_5103,U_5102,U_5101,U_5100] :
      ( hBOOL(hAPP_list_char_bool(U_5103,U_5101))
      | ( ? [U_5098] :
            ( ~ hBOOL(hAPP_list_char_bool(U_5103,U_5098))
            & hBOOL(hAPP_list_char_bool(U_5103,sK926(U_5103,U_5102,U_5101,U_5100)))
            & hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,sK926(U_5103,U_5102,U_5101,U_5100)),U_5098)),U_5100)) )
        & hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_5102),sK926(U_5103,U_5102,U_5101,U_5100))),transi1395422419t_char(U_5100))) )
      | ~ hBOOL(hAPP_list_char_bool(U_5103,U_5102))
      | ~ hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_5102),U_5101)),transi1395422419t_char(U_5100))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK926]),skolemize(U_5099,sK926(U_5103,U_5102,U_5101,U_5100))],[f_939_3]) ).

fof(f_939_5,plain,
    ! [U_5103,U_5102,U_5101,U_5100] :
      ( hBOOL(hAPP_list_char_bool(U_5103,U_5101))
      | ( ~ hBOOL(hAPP_list_char_bool(U_5103,sK927(U_5103,U_5102,U_5101,U_5100)))
        & hBOOL(hAPP_list_char_bool(U_5103,sK926(U_5103,U_5102,U_5101,U_5100)))
        & hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,sK926(U_5103,U_5102,U_5101,U_5100)),sK927(U_5103,U_5102,U_5101,U_5100))),U_5100))
        & hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_5102),sK926(U_5103,U_5102,U_5101,U_5100))),transi1395422419t_char(U_5100))) )
      | ~ hBOOL(hAPP_list_char_bool(U_5103,U_5102))
      | ~ hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_5102),U_5101)),transi1395422419t_char(U_5100))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK927]),skolemize(U_5098,sK927(U_5103,U_5102,U_5101,U_5100))],[f_939_4]) ).

cnf(f_939_6,plain,
    ( hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_5102),sK926(U_5103,U_5102,U_5101,U_5100))),transi1395422419t_char(U_5100)))
    | hBOOL(hAPP_list_char_bool(U_5103,U_5101))
    | ~ hBOOL(hAPP_list_char_bool(U_5103,U_5102))
    | ~ hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_5102),U_5101)),transi1395422419t_char(U_5100))) ),
    inference(clausify,[status(thm)],[f_939_5]) ).

cnf(f_939_7,plain,
    ( hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,sK926(U_5103,U_5102,U_5101,U_5100)),sK927(U_5103,U_5102,U_5101,U_5100))),U_5100))
    | hBOOL(hAPP_list_char_bool(U_5103,U_5101))
    | ~ hBOOL(hAPP_list_char_bool(U_5103,U_5102))
    | ~ hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_5102),U_5101)),transi1395422419t_char(U_5100))) ),
    inference(clausify,[status(thm)],[f_939_5]) ).

cnf(f_939_8,plain,
    ( hBOOL(hAPP_list_char_bool(U_5103,sK926(U_5103,U_5102,U_5101,U_5100)))
    | hBOOL(hAPP_list_char_bool(U_5103,U_5101))
    | ~ hBOOL(hAPP_list_char_bool(U_5103,U_5102))
    | ~ hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_5102),U_5101)),transi1395422419t_char(U_5100))) ),
    inference(clausify,[status(thm)],[f_939_5]) ).

cnf(f_939_9,plain,
    ( ~ hBOOL(hAPP_list_char_bool(U_5103,sK927(U_5103,U_5102,U_5101,U_5100)))
    | hBOOL(hAPP_list_char_bool(U_5103,U_5101))
    | ~ hBOOL(hAPP_list_char_bool(U_5103,U_5102))
    | ~ hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_5102),U_5101)),transi1395422419t_char(U_5100))) ),
    inference(clausify,[status(thm)],[f_939_5]) ).

fof(f_940_1,plain,
    ! [Pa,A,B,R_1] :
      ( hBOOL(hAPP_P1708370145l_bool(Pa,B))
      | ? [Y_1,Z] :
          ( ~ hBOOL(hAPP_P1708370145l_bool(Pa,Z))
          & hBOOL(hAPP_P1708370145l_bool(Pa,Y_1))
          & hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,Y_1),Z)),R_1))
          & hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A),Y_1)),transi2024712006on_val(R_1))) )
      | ~ hBOOL(hAPP_P1708370145l_bool(Pa,A))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A),B)),transi2024712006on_val(R_1))) ),
    inference(fof_nnf,[status(thm)],[fact_798_rtrancl__induct]) ).

fof(f_940_2,plain,
    ! [U_5109,U_5108,U_5107,U_5106] :
      ( hBOOL(hAPP_P1708370145l_bool(U_5109,U_5107))
      | ? [U_5105,U_5104] :
          ( ~ hBOOL(hAPP_P1708370145l_bool(U_5109,U_5104))
          & hBOOL(hAPP_P1708370145l_bool(U_5109,U_5105))
          & hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_5105),U_5104)),U_5106))
          & hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_5108),U_5105)),transi2024712006on_val(U_5106))) )
      | ~ hBOOL(hAPP_P1708370145l_bool(U_5109,U_5108))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_5108),U_5107)),transi2024712006on_val(U_5106))) ),
    inference(variable_rename,[status(thm)],[f_940_1]) ).

fof(f_940_3,plain,
    ! [U_5109,U_5108,U_5107,U_5106] :
      ( hBOOL(hAPP_P1708370145l_bool(U_5109,U_5107))
      | ? [U_5105] :
          ( ? [U_5104] :
              ( ~ hBOOL(hAPP_P1708370145l_bool(U_5109,U_5104))
              & hBOOL(hAPP_P1708370145l_bool(U_5109,U_5105))
              & hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_5105),U_5104)),U_5106)) )
          & hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_5108),U_5105)),transi2024712006on_val(U_5106))) )
      | ~ hBOOL(hAPP_P1708370145l_bool(U_5109,U_5108))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_5108),U_5107)),transi2024712006on_val(U_5106))) ),
    inference(miniscope,[status(thm)],[f_940_2]) ).

fof(f_940_4,plain,
    ! [U_5109,U_5108,U_5107,U_5106] :
      ( hBOOL(hAPP_P1708370145l_bool(U_5109,U_5107))
      | ( ? [U_5104] :
            ( ~ hBOOL(hAPP_P1708370145l_bool(U_5109,U_5104))
            & hBOOL(hAPP_P1708370145l_bool(U_5109,sK928(U_5109,U_5108,U_5107,U_5106)))
            & hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK928(U_5109,U_5108,U_5107,U_5106)),U_5104)),U_5106)) )
        & hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_5108),sK928(U_5109,U_5108,U_5107,U_5106))),transi2024712006on_val(U_5106))) )
      | ~ hBOOL(hAPP_P1708370145l_bool(U_5109,U_5108))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_5108),U_5107)),transi2024712006on_val(U_5106))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK928]),skolemize(U_5105,sK928(U_5109,U_5108,U_5107,U_5106))],[f_940_3]) ).

fof(f_940_5,plain,
    ! [U_5109,U_5108,U_5107,U_5106] :
      ( hBOOL(hAPP_P1708370145l_bool(U_5109,U_5107))
      | ( ~ hBOOL(hAPP_P1708370145l_bool(U_5109,sK929(U_5109,U_5108,U_5107,U_5106)))
        & hBOOL(hAPP_P1708370145l_bool(U_5109,sK928(U_5109,U_5108,U_5107,U_5106)))
        & hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK928(U_5109,U_5108,U_5107,U_5106)),sK929(U_5109,U_5108,U_5107,U_5106))),U_5106))
        & hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_5108),sK928(U_5109,U_5108,U_5107,U_5106))),transi2024712006on_val(U_5106))) )
      | ~ hBOOL(hAPP_P1708370145l_bool(U_5109,U_5108))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_5108),U_5107)),transi2024712006on_val(U_5106))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK929]),skolemize(U_5104,sK929(U_5109,U_5108,U_5107,U_5106))],[f_940_4]) ).

cnf(f_940_6,plain,
    ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_5108),sK928(U_5109,U_5108,U_5107,U_5106))),transi2024712006on_val(U_5106)))
    | hBOOL(hAPP_P1708370145l_bool(U_5109,U_5107))
    | ~ hBOOL(hAPP_P1708370145l_bool(U_5109,U_5108))
    | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_5108),U_5107)),transi2024712006on_val(U_5106))) ),
    inference(clausify,[status(thm)],[f_940_5]) ).

cnf(f_940_7,plain,
    ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK928(U_5109,U_5108,U_5107,U_5106)),sK929(U_5109,U_5108,U_5107,U_5106))),U_5106))
    | hBOOL(hAPP_P1708370145l_bool(U_5109,U_5107))
    | ~ hBOOL(hAPP_P1708370145l_bool(U_5109,U_5108))
    | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_5108),U_5107)),transi2024712006on_val(U_5106))) ),
    inference(clausify,[status(thm)],[f_940_5]) ).

cnf(f_940_8,plain,
    ( hBOOL(hAPP_P1708370145l_bool(U_5109,sK928(U_5109,U_5108,U_5107,U_5106)))
    | hBOOL(hAPP_P1708370145l_bool(U_5109,U_5107))
    | ~ hBOOL(hAPP_P1708370145l_bool(U_5109,U_5108))
    | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_5108),U_5107)),transi2024712006on_val(U_5106))) ),
    inference(clausify,[status(thm)],[f_940_5]) ).

cnf(f_940_9,plain,
    ( ~ hBOOL(hAPP_P1708370145l_bool(U_5109,sK929(U_5109,U_5108,U_5107,U_5106)))
    | hBOOL(hAPP_P1708370145l_bool(U_5109,U_5107))
    | ~ hBOOL(hAPP_P1708370145l_bool(U_5109,U_5108))
    | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_5108),U_5107)),transi2024712006on_val(U_5106))) ),
    inference(clausify,[status(thm)],[f_940_5]) ).

fof(f_941_1,plain,
    ! [Pa,A,B,R_1] :
      ( hBOOL(hAPP_val_bool(Pa,B))
      | ? [Y_1,Z] :
          ( ~ hBOOL(hAPP_val_bool(Pa,Z))
          & hBOOL(hAPP_val_bool(Pa,Y_1))
          & hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,Y_1),Z)),R_1))
          & hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A),Y_1)),transi935034983cl_val(R_1))) )
      | ~ hBOOL(hAPP_val_bool(Pa,A))
      | ~ hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A),B)),transi935034983cl_val(R_1))) ),
    inference(fof_nnf,[status(thm)],[fact_799_rtrancl__induct]) ).

fof(f_941_2,plain,
    ! [U_5115,U_5114,U_5113,U_5112] :
      ( hBOOL(hAPP_val_bool(U_5115,U_5113))
      | ? [U_5111,U_5110] :
          ( ~ hBOOL(hAPP_val_bool(U_5115,U_5110))
          & hBOOL(hAPP_val_bool(U_5115,U_5111))
          & hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_5111),U_5110)),U_5112))
          & hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_5114),U_5111)),transi935034983cl_val(U_5112))) )
      | ~ hBOOL(hAPP_val_bool(U_5115,U_5114))
      | ~ hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_5114),U_5113)),transi935034983cl_val(U_5112))) ),
    inference(variable_rename,[status(thm)],[f_941_1]) ).

fof(f_941_3,plain,
    ! [U_5115,U_5114,U_5113,U_5112] :
      ( hBOOL(hAPP_val_bool(U_5115,U_5113))
      | ? [U_5111] :
          ( ? [U_5110] :
              ( ~ hBOOL(hAPP_val_bool(U_5115,U_5110))
              & hBOOL(hAPP_val_bool(U_5115,U_5111))
              & hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_5111),U_5110)),U_5112)) )
          & hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_5114),U_5111)),transi935034983cl_val(U_5112))) )
      | ~ hBOOL(hAPP_val_bool(U_5115,U_5114))
      | ~ hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_5114),U_5113)),transi935034983cl_val(U_5112))) ),
    inference(miniscope,[status(thm)],[f_941_2]) ).

fof(f_941_4,plain,
    ! [U_5115,U_5114,U_5113,U_5112] :
      ( hBOOL(hAPP_val_bool(U_5115,U_5113))
      | ( ? [U_5110] :
            ( ~ hBOOL(hAPP_val_bool(U_5115,U_5110))
            & hBOOL(hAPP_val_bool(U_5115,sK930(U_5115,U_5114,U_5113,U_5112)))
            & hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,sK930(U_5115,U_5114,U_5113,U_5112)),U_5110)),U_5112)) )
        & hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_5114),sK930(U_5115,U_5114,U_5113,U_5112))),transi935034983cl_val(U_5112))) )
      | ~ hBOOL(hAPP_val_bool(U_5115,U_5114))
      | ~ hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_5114),U_5113)),transi935034983cl_val(U_5112))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK930]),skolemize(U_5111,sK930(U_5115,U_5114,U_5113,U_5112))],[f_941_3]) ).

fof(f_941_5,plain,
    ! [U_5115,U_5114,U_5113,U_5112] :
      ( hBOOL(hAPP_val_bool(U_5115,U_5113))
      | ( ~ hBOOL(hAPP_val_bool(U_5115,sK931(U_5115,U_5114,U_5113,U_5112)))
        & hBOOL(hAPP_val_bool(U_5115,sK930(U_5115,U_5114,U_5113,U_5112)))
        & hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,sK930(U_5115,U_5114,U_5113,U_5112)),sK931(U_5115,U_5114,U_5113,U_5112))),U_5112))
        & hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_5114),sK930(U_5115,U_5114,U_5113,U_5112))),transi935034983cl_val(U_5112))) )
      | ~ hBOOL(hAPP_val_bool(U_5115,U_5114))
      | ~ hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_5114),U_5113)),transi935034983cl_val(U_5112))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK931]),skolemize(U_5110,sK931(U_5115,U_5114,U_5113,U_5112))],[f_941_4]) ).

cnf(f_941_6,plain,
    ( hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_5114),sK930(U_5115,U_5114,U_5113,U_5112))),transi935034983cl_val(U_5112)))
    | hBOOL(hAPP_val_bool(U_5115,U_5113))
    | ~ hBOOL(hAPP_val_bool(U_5115,U_5114))
    | ~ hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_5114),U_5113)),transi935034983cl_val(U_5112))) ),
    inference(clausify,[status(thm)],[f_941_5]) ).

cnf(f_941_7,plain,
    ( hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,sK930(U_5115,U_5114,U_5113,U_5112)),sK931(U_5115,U_5114,U_5113,U_5112))),U_5112))
    | hBOOL(hAPP_val_bool(U_5115,U_5113))
    | ~ hBOOL(hAPP_val_bool(U_5115,U_5114))
    | ~ hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_5114),U_5113)),transi935034983cl_val(U_5112))) ),
    inference(clausify,[status(thm)],[f_941_5]) ).

cnf(f_941_8,plain,
    ( hBOOL(hAPP_val_bool(U_5115,sK930(U_5115,U_5114,U_5113,U_5112)))
    | hBOOL(hAPP_val_bool(U_5115,U_5113))
    | ~ hBOOL(hAPP_val_bool(U_5115,U_5114))
    | ~ hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_5114),U_5113)),transi935034983cl_val(U_5112))) ),
    inference(clausify,[status(thm)],[f_941_5]) ).

cnf(f_941_9,plain,
    ( ~ hBOOL(hAPP_val_bool(U_5115,sK931(U_5115,U_5114,U_5113,U_5112)))
    | hBOOL(hAPP_val_bool(U_5115,U_5113))
    | ~ hBOOL(hAPP_val_bool(U_5115,U_5114))
    | ~ hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_5114),U_5113)),transi935034983cl_val(U_5112))) ),
    inference(clausify,[status(thm)],[f_941_5]) ).

fof(f_942_1,plain,
    ! [R_2,S_4] :
      ( ( hBOOL(hAPP_f1931964053l_bool(ord_le2008677227r_bool(hAPP_f1209019955r_bool(hAPP_f521496323r_bool(cOMBC_654453230r_bool,hAPP_f732843907r_bool(hAPP_f1563448447r_bool(cOMBB_1490692730t_char,cOMBC_390659185l_bool),hAPP_f1868463117l_bool(hAPP_f1365840271l_bool(cOMBB_1705938036t_char,hAPP_f1937828171l_bool(cOMBB_1681501894t_char,member1601084734t_char)),produc1331140167t_char))),R_2)),hAPP_f1209019955r_bool(hAPP_f521496323r_bool(cOMBC_654453230r_bool,hAPP_f732843907r_bool(hAPP_f1563448447r_bool(cOMBB_1490692730t_char,cOMBC_390659185l_bool),hAPP_f1868463117l_bool(hAPP_f1365840271l_bool(cOMBB_1705938036t_char,hAPP_f1937828171l_bool(cOMBB_1681501894t_char,member1601084734t_char)),produc1331140167t_char))),S_4)))
        | ~ hBOOL(hAPP_f483496539l_bool(ord_le1987888477r_bool(R_2),S_4)) )
      & ( hBOOL(hAPP_f483496539l_bool(ord_le1987888477r_bool(R_2),S_4))
        | ~ hBOOL(hAPP_f1931964053l_bool(ord_le2008677227r_bool(hAPP_f1209019955r_bool(hAPP_f521496323r_bool(cOMBC_654453230r_bool,hAPP_f732843907r_bool(hAPP_f1563448447r_bool(cOMBB_1490692730t_char,cOMBC_390659185l_bool),hAPP_f1868463117l_bool(hAPP_f1365840271l_bool(cOMBB_1705938036t_char,hAPP_f1937828171l_bool(cOMBB_1681501894t_char,member1601084734t_char)),produc1331140167t_char))),R_2)),hAPP_f1209019955r_bool(hAPP_f521496323r_bool(cOMBC_654453230r_bool,hAPP_f732843907r_bool(hAPP_f1563448447r_bool(cOMBB_1490692730t_char,cOMBC_390659185l_bool),hAPP_f1868463117l_bool(hAPP_f1365840271l_bool(cOMBB_1705938036t_char,hAPP_f1937828171l_bool(cOMBB_1681501894t_char,member1601084734t_char)),produc1331140167t_char))),S_4))) ) ),
    inference(fof_nnf,[status(thm)],[fact_800_pred__subset__eq2]) ).

fof(f_942_2,plain,
    ! [U_5117,U_5116] :
      ( ( hBOOL(hAPP_f1931964053l_bool(ord_le2008677227r_bool(hAPP_f1209019955r_bool(hAPP_f521496323r_bool(cOMBC_654453230r_bool,hAPP_f732843907r_bool(hAPP_f1563448447r_bool(cOMBB_1490692730t_char,cOMBC_390659185l_bool),hAPP_f1868463117l_bool(hAPP_f1365840271l_bool(cOMBB_1705938036t_char,hAPP_f1937828171l_bool(cOMBB_1681501894t_char,member1601084734t_char)),produc1331140167t_char))),U_5117)),hAPP_f1209019955r_bool(hAPP_f521496323r_bool(cOMBC_654453230r_bool,hAPP_f732843907r_bool(hAPP_f1563448447r_bool(cOMBB_1490692730t_char,cOMBC_390659185l_bool),hAPP_f1868463117l_bool(hAPP_f1365840271l_bool(cOMBB_1705938036t_char,hAPP_f1937828171l_bool(cOMBB_1681501894t_char,member1601084734t_char)),produc1331140167t_char))),U_5116)))
        | ~ hBOOL(hAPP_f483496539l_bool(ord_le1987888477r_bool(U_5117),U_5116)) )
      & ( hBOOL(hAPP_f483496539l_bool(ord_le1987888477r_bool(U_5117),U_5116))
        | ~ hBOOL(hAPP_f1931964053l_bool(ord_le2008677227r_bool(hAPP_f1209019955r_bool(hAPP_f521496323r_bool(cOMBC_654453230r_bool,hAPP_f732843907r_bool(hAPP_f1563448447r_bool(cOMBB_1490692730t_char,cOMBC_390659185l_bool),hAPP_f1868463117l_bool(hAPP_f1365840271l_bool(cOMBB_1705938036t_char,hAPP_f1937828171l_bool(cOMBB_1681501894t_char,member1601084734t_char)),produc1331140167t_char))),U_5117)),hAPP_f1209019955r_bool(hAPP_f521496323r_bool(cOMBC_654453230r_bool,hAPP_f732843907r_bool(hAPP_f1563448447r_bool(cOMBB_1490692730t_char,cOMBC_390659185l_bool),hAPP_f1868463117l_bool(hAPP_f1365840271l_bool(cOMBB_1705938036t_char,hAPP_f1937828171l_bool(cOMBB_1681501894t_char,member1601084734t_char)),produc1331140167t_char))),U_5116))) ) ),
    inference(variable_rename,[status(thm)],[f_942_1]) ).

fof(f_942_3,plain,
    ( ! [U_5121,U_5119] :
        ( hBOOL(hAPP_f1931964053l_bool(ord_le2008677227r_bool(hAPP_f1209019955r_bool(hAPP_f521496323r_bool(cOMBC_654453230r_bool,hAPP_f732843907r_bool(hAPP_f1563448447r_bool(cOMBB_1490692730t_char,cOMBC_390659185l_bool),hAPP_f1868463117l_bool(hAPP_f1365840271l_bool(cOMBB_1705938036t_char,hAPP_f1937828171l_bool(cOMBB_1681501894t_char,member1601084734t_char)),produc1331140167t_char))),U_5121)),hAPP_f1209019955r_bool(hAPP_f521496323r_bool(cOMBC_654453230r_bool,hAPP_f732843907r_bool(hAPP_f1563448447r_bool(cOMBB_1490692730t_char,cOMBC_390659185l_bool),hAPP_f1868463117l_bool(hAPP_f1365840271l_bool(cOMBB_1705938036t_char,hAPP_f1937828171l_bool(cOMBB_1681501894t_char,member1601084734t_char)),produc1331140167t_char))),U_5119)))
        | ~ hBOOL(hAPP_f483496539l_bool(ord_le1987888477r_bool(U_5121),U_5119)) )
    & ! [U_5120,U_5118] :
        ( hBOOL(hAPP_f483496539l_bool(ord_le1987888477r_bool(U_5120),U_5118))
        | ~ hBOOL(hAPP_f1931964053l_bool(ord_le2008677227r_bool(hAPP_f1209019955r_bool(hAPP_f521496323r_bool(cOMBC_654453230r_bool,hAPP_f732843907r_bool(hAPP_f1563448447r_bool(cOMBB_1490692730t_char,cOMBC_390659185l_bool),hAPP_f1868463117l_bool(hAPP_f1365840271l_bool(cOMBB_1705938036t_char,hAPP_f1937828171l_bool(cOMBB_1681501894t_char,member1601084734t_char)),produc1331140167t_char))),U_5120)),hAPP_f1209019955r_bool(hAPP_f521496323r_bool(cOMBC_654453230r_bool,hAPP_f732843907r_bool(hAPP_f1563448447r_bool(cOMBB_1490692730t_char,cOMBC_390659185l_bool),hAPP_f1868463117l_bool(hAPP_f1365840271l_bool(cOMBB_1705938036t_char,hAPP_f1937828171l_bool(cOMBB_1681501894t_char,member1601084734t_char)),produc1331140167t_char))),U_5118))) ) ),
    inference(miniscope,[status(thm)],[f_942_2]) ).

cnf(f_942_4,plain,
    ( hBOOL(hAPP_f483496539l_bool(ord_le1987888477r_bool(U_5120),U_5118))
    | ~ hBOOL(hAPP_f1931964053l_bool(ord_le2008677227r_bool(hAPP_f1209019955r_bool(hAPP_f521496323r_bool(cOMBC_654453230r_bool,hAPP_f732843907r_bool(hAPP_f1563448447r_bool(cOMBB_1490692730t_char,cOMBC_390659185l_bool),hAPP_f1868463117l_bool(hAPP_f1365840271l_bool(cOMBB_1705938036t_char,hAPP_f1937828171l_bool(cOMBB_1681501894t_char,member1601084734t_char)),produc1331140167t_char))),U_5120)),hAPP_f1209019955r_bool(hAPP_f521496323r_bool(cOMBC_654453230r_bool,hAPP_f732843907r_bool(hAPP_f1563448447r_bool(cOMBB_1490692730t_char,cOMBC_390659185l_bool),hAPP_f1868463117l_bool(hAPP_f1365840271l_bool(cOMBB_1705938036t_char,hAPP_f1937828171l_bool(cOMBB_1681501894t_char,member1601084734t_char)),produc1331140167t_char))),U_5118))) ),
    inference(clausify,[status(thm)],[f_942_3]) ).

cnf(f_942_5,plain,
    ( hBOOL(hAPP_f1931964053l_bool(ord_le2008677227r_bool(hAPP_f1209019955r_bool(hAPP_f521496323r_bool(cOMBC_654453230r_bool,hAPP_f732843907r_bool(hAPP_f1563448447r_bool(cOMBB_1490692730t_char,cOMBC_390659185l_bool),hAPP_f1868463117l_bool(hAPP_f1365840271l_bool(cOMBB_1705938036t_char,hAPP_f1937828171l_bool(cOMBB_1681501894t_char,member1601084734t_char)),produc1331140167t_char))),U_5121)),hAPP_f1209019955r_bool(hAPP_f521496323r_bool(cOMBC_654453230r_bool,hAPP_f732843907r_bool(hAPP_f1563448447r_bool(cOMBB_1490692730t_char,cOMBC_390659185l_bool),hAPP_f1868463117l_bool(hAPP_f1365840271l_bool(cOMBB_1705938036t_char,hAPP_f1937828171l_bool(cOMBB_1681501894t_char,member1601084734t_char)),produc1331140167t_char))),U_5119)))
    | ~ hBOOL(hAPP_f483496539l_bool(ord_le1987888477r_bool(U_5121),U_5119)) ),
    inference(clausify,[status(thm)],[f_942_3]) ).

fof(f_943_1,plain,
    ! [R_2,S_4] :
      ( ( hBOOL(hAPP_f1795246582l_bool(ord_le735260024r_bool(hAPP_f2025561243r_bool(hAPP_f1500560577r_bool(cOMBC_1784597444r_bool,hAPP_f29105311r_bool(hAPP_f953097879r_bool(cOMBB_672864638t_char,cOMBC_1338332465l_bool),hAPP_f333583909l_bool(hAPP_f1407048615l_bool(cOMBB_741416308t_char,hAPP_f937861397l_bool(cOMBB_1520154591t_char,member1467889965t_char)),produc822965838t_char))),R_2)),hAPP_f2025561243r_bool(hAPP_f1500560577r_bool(cOMBC_1784597444r_bool,hAPP_f29105311r_bool(hAPP_f953097879r_bool(cOMBB_672864638t_char,cOMBC_1338332465l_bool),hAPP_f333583909l_bool(hAPP_f1407048615l_bool(cOMBB_741416308t_char,hAPP_f937861397l_bool(cOMBB_1520154591t_char,member1467889965t_char)),produc822965838t_char))),S_4)))
        | ~ hBOOL(hAPP_f515912112l_bool(ord_le117566470r_bool(R_2),S_4)) )
      & ( hBOOL(hAPP_f515912112l_bool(ord_le117566470r_bool(R_2),S_4))
        | ~ hBOOL(hAPP_f1795246582l_bool(ord_le735260024r_bool(hAPP_f2025561243r_bool(hAPP_f1500560577r_bool(cOMBC_1784597444r_bool,hAPP_f29105311r_bool(hAPP_f953097879r_bool(cOMBB_672864638t_char,cOMBC_1338332465l_bool),hAPP_f333583909l_bool(hAPP_f1407048615l_bool(cOMBB_741416308t_char,hAPP_f937861397l_bool(cOMBB_1520154591t_char,member1467889965t_char)),produc822965838t_char))),R_2)),hAPP_f2025561243r_bool(hAPP_f1500560577r_bool(cOMBC_1784597444r_bool,hAPP_f29105311r_bool(hAPP_f953097879r_bool(cOMBB_672864638t_char,cOMBC_1338332465l_bool),hAPP_f333583909l_bool(hAPP_f1407048615l_bool(cOMBB_741416308t_char,hAPP_f937861397l_bool(cOMBB_1520154591t_char,member1467889965t_char)),produc822965838t_char))),S_4))) ) ),
    inference(fof_nnf,[status(thm)],[fact_801_pred__subset__eq2]) ).

fof(f_943_2,plain,
    ! [U_5123,U_5122] :
      ( ( hBOOL(hAPP_f1795246582l_bool(ord_le735260024r_bool(hAPP_f2025561243r_bool(hAPP_f1500560577r_bool(cOMBC_1784597444r_bool,hAPP_f29105311r_bool(hAPP_f953097879r_bool(cOMBB_672864638t_char,cOMBC_1338332465l_bool),hAPP_f333583909l_bool(hAPP_f1407048615l_bool(cOMBB_741416308t_char,hAPP_f937861397l_bool(cOMBB_1520154591t_char,member1467889965t_char)),produc822965838t_char))),U_5123)),hAPP_f2025561243r_bool(hAPP_f1500560577r_bool(cOMBC_1784597444r_bool,hAPP_f29105311r_bool(hAPP_f953097879r_bool(cOMBB_672864638t_char,cOMBC_1338332465l_bool),hAPP_f333583909l_bool(hAPP_f1407048615l_bool(cOMBB_741416308t_char,hAPP_f937861397l_bool(cOMBB_1520154591t_char,member1467889965t_char)),produc822965838t_char))),U_5122)))
        | ~ hBOOL(hAPP_f515912112l_bool(ord_le117566470r_bool(U_5123),U_5122)) )
      & ( hBOOL(hAPP_f515912112l_bool(ord_le117566470r_bool(U_5123),U_5122))
        | ~ hBOOL(hAPP_f1795246582l_bool(ord_le735260024r_bool(hAPP_f2025561243r_bool(hAPP_f1500560577r_bool(cOMBC_1784597444r_bool,hAPP_f29105311r_bool(hAPP_f953097879r_bool(cOMBB_672864638t_char,cOMBC_1338332465l_bool),hAPP_f333583909l_bool(hAPP_f1407048615l_bool(cOMBB_741416308t_char,hAPP_f937861397l_bool(cOMBB_1520154591t_char,member1467889965t_char)),produc822965838t_char))),U_5123)),hAPP_f2025561243r_bool(hAPP_f1500560577r_bool(cOMBC_1784597444r_bool,hAPP_f29105311r_bool(hAPP_f953097879r_bool(cOMBB_672864638t_char,cOMBC_1338332465l_bool),hAPP_f333583909l_bool(hAPP_f1407048615l_bool(cOMBB_741416308t_char,hAPP_f937861397l_bool(cOMBB_1520154591t_char,member1467889965t_char)),produc822965838t_char))),U_5122))) ) ),
    inference(variable_rename,[status(thm)],[f_943_1]) ).

fof(f_943_3,plain,
    ( ! [U_5127,U_5125] :
        ( hBOOL(hAPP_f1795246582l_bool(ord_le735260024r_bool(hAPP_f2025561243r_bool(hAPP_f1500560577r_bool(cOMBC_1784597444r_bool,hAPP_f29105311r_bool(hAPP_f953097879r_bool(cOMBB_672864638t_char,cOMBC_1338332465l_bool),hAPP_f333583909l_bool(hAPP_f1407048615l_bool(cOMBB_741416308t_char,hAPP_f937861397l_bool(cOMBB_1520154591t_char,member1467889965t_char)),produc822965838t_char))),U_5127)),hAPP_f2025561243r_bool(hAPP_f1500560577r_bool(cOMBC_1784597444r_bool,hAPP_f29105311r_bool(hAPP_f953097879r_bool(cOMBB_672864638t_char,cOMBC_1338332465l_bool),hAPP_f333583909l_bool(hAPP_f1407048615l_bool(cOMBB_741416308t_char,hAPP_f937861397l_bool(cOMBB_1520154591t_char,member1467889965t_char)),produc822965838t_char))),U_5125)))
        | ~ hBOOL(hAPP_f515912112l_bool(ord_le117566470r_bool(U_5127),U_5125)) )
    & ! [U_5126,U_5124] :
        ( hBOOL(hAPP_f515912112l_bool(ord_le117566470r_bool(U_5126),U_5124))
        | ~ hBOOL(hAPP_f1795246582l_bool(ord_le735260024r_bool(hAPP_f2025561243r_bool(hAPP_f1500560577r_bool(cOMBC_1784597444r_bool,hAPP_f29105311r_bool(hAPP_f953097879r_bool(cOMBB_672864638t_char,cOMBC_1338332465l_bool),hAPP_f333583909l_bool(hAPP_f1407048615l_bool(cOMBB_741416308t_char,hAPP_f937861397l_bool(cOMBB_1520154591t_char,member1467889965t_char)),produc822965838t_char))),U_5126)),hAPP_f2025561243r_bool(hAPP_f1500560577r_bool(cOMBC_1784597444r_bool,hAPP_f29105311r_bool(hAPP_f953097879r_bool(cOMBB_672864638t_char,cOMBC_1338332465l_bool),hAPP_f333583909l_bool(hAPP_f1407048615l_bool(cOMBB_741416308t_char,hAPP_f937861397l_bool(cOMBB_1520154591t_char,member1467889965t_char)),produc822965838t_char))),U_5124))) ) ),
    inference(miniscope,[status(thm)],[f_943_2]) ).

cnf(f_943_4,plain,
    ( hBOOL(hAPP_f515912112l_bool(ord_le117566470r_bool(U_5126),U_5124))
    | ~ hBOOL(hAPP_f1795246582l_bool(ord_le735260024r_bool(hAPP_f2025561243r_bool(hAPP_f1500560577r_bool(cOMBC_1784597444r_bool,hAPP_f29105311r_bool(hAPP_f953097879r_bool(cOMBB_672864638t_char,cOMBC_1338332465l_bool),hAPP_f333583909l_bool(hAPP_f1407048615l_bool(cOMBB_741416308t_char,hAPP_f937861397l_bool(cOMBB_1520154591t_char,member1467889965t_char)),produc822965838t_char))),U_5126)),hAPP_f2025561243r_bool(hAPP_f1500560577r_bool(cOMBC_1784597444r_bool,hAPP_f29105311r_bool(hAPP_f953097879r_bool(cOMBB_672864638t_char,cOMBC_1338332465l_bool),hAPP_f333583909l_bool(hAPP_f1407048615l_bool(cOMBB_741416308t_char,hAPP_f937861397l_bool(cOMBB_1520154591t_char,member1467889965t_char)),produc822965838t_char))),U_5124))) ),
    inference(clausify,[status(thm)],[f_943_3]) ).

cnf(f_943_5,plain,
    ( hBOOL(hAPP_f1795246582l_bool(ord_le735260024r_bool(hAPP_f2025561243r_bool(hAPP_f1500560577r_bool(cOMBC_1784597444r_bool,hAPP_f29105311r_bool(hAPP_f953097879r_bool(cOMBB_672864638t_char,cOMBC_1338332465l_bool),hAPP_f333583909l_bool(hAPP_f1407048615l_bool(cOMBB_741416308t_char,hAPP_f937861397l_bool(cOMBB_1520154591t_char,member1467889965t_char)),produc822965838t_char))),U_5127)),hAPP_f2025561243r_bool(hAPP_f1500560577r_bool(cOMBC_1784597444r_bool,hAPP_f29105311r_bool(hAPP_f953097879r_bool(cOMBB_672864638t_char,cOMBC_1338332465l_bool),hAPP_f333583909l_bool(hAPP_f1407048615l_bool(cOMBB_741416308t_char,hAPP_f937861397l_bool(cOMBB_1520154591t_char,member1467889965t_char)),produc822965838t_char))),U_5125)))
    | ~ hBOOL(hAPP_f515912112l_bool(ord_le117566470r_bool(U_5127),U_5125)) ),
    inference(clausify,[status(thm)],[f_943_3]) ).

fof(f_944_1,plain,
    ! [R_2,S_4] :
      ( ( hBOOL(hAPP_f861853459l_bool(ord_le1270183657l_bool(hAPP_f447422815l_bool(hAPP_f2052909183l_bool(cOMBC_766524526l_bool,hAPP_f1427871743l_bool(hAPP_f32926423l_bool(cOMBB_779086262on_val,cOMBC_1491642377l_bool),hAPP_f1082373989l_bool(hAPP_f869803751l_bool(cOMBB_555068556on_val,hAPP_f810261999l_bool(cOMBB_1034324152on_val,member875476972on_val)),produc1611380469on_val))),R_2)),hAPP_f447422815l_bool(hAPP_f2052909183l_bool(cOMBC_766524526l_bool,hAPP_f1427871743l_bool(hAPP_f32926423l_bool(cOMBB_779086262on_val,cOMBC_1491642377l_bool),hAPP_f1082373989l_bool(hAPP_f869803751l_bool(cOMBB_555068556on_val,hAPP_f810261999l_bool(cOMBB_1034324152on_val,member875476972on_val)),produc1611380469on_val))),S_4)))
        | ~ hBOOL(hAPP_f458849545l_bool(ord_le1438917387l_bool(R_2),S_4)) )
      & ( hBOOL(hAPP_f458849545l_bool(ord_le1438917387l_bool(R_2),S_4))
        | ~ hBOOL(hAPP_f861853459l_bool(ord_le1270183657l_bool(hAPP_f447422815l_bool(hAPP_f2052909183l_bool(cOMBC_766524526l_bool,hAPP_f1427871743l_bool(hAPP_f32926423l_bool(cOMBB_779086262on_val,cOMBC_1491642377l_bool),hAPP_f1082373989l_bool(hAPP_f869803751l_bool(cOMBB_555068556on_val,hAPP_f810261999l_bool(cOMBB_1034324152on_val,member875476972on_val)),produc1611380469on_val))),R_2)),hAPP_f447422815l_bool(hAPP_f2052909183l_bool(cOMBC_766524526l_bool,hAPP_f1427871743l_bool(hAPP_f32926423l_bool(cOMBB_779086262on_val,cOMBC_1491642377l_bool),hAPP_f1082373989l_bool(hAPP_f869803751l_bool(cOMBB_555068556on_val,hAPP_f810261999l_bool(cOMBB_1034324152on_val,member875476972on_val)),produc1611380469on_val))),S_4))) ) ),
    inference(fof_nnf,[status(thm)],[fact_802_pred__subset__eq2]) ).

fof(f_944_2,plain,
    ! [U_5129,U_5128] :
      ( ( hBOOL(hAPP_f861853459l_bool(ord_le1270183657l_bool(hAPP_f447422815l_bool(hAPP_f2052909183l_bool(cOMBC_766524526l_bool,hAPP_f1427871743l_bool(hAPP_f32926423l_bool(cOMBB_779086262on_val,cOMBC_1491642377l_bool),hAPP_f1082373989l_bool(hAPP_f869803751l_bool(cOMBB_555068556on_val,hAPP_f810261999l_bool(cOMBB_1034324152on_val,member875476972on_val)),produc1611380469on_val))),U_5129)),hAPP_f447422815l_bool(hAPP_f2052909183l_bool(cOMBC_766524526l_bool,hAPP_f1427871743l_bool(hAPP_f32926423l_bool(cOMBB_779086262on_val,cOMBC_1491642377l_bool),hAPP_f1082373989l_bool(hAPP_f869803751l_bool(cOMBB_555068556on_val,hAPP_f810261999l_bool(cOMBB_1034324152on_val,member875476972on_val)),produc1611380469on_val))),U_5128)))
        | ~ hBOOL(hAPP_f458849545l_bool(ord_le1438917387l_bool(U_5129),U_5128)) )
      & ( hBOOL(hAPP_f458849545l_bool(ord_le1438917387l_bool(U_5129),U_5128))
        | ~ hBOOL(hAPP_f861853459l_bool(ord_le1270183657l_bool(hAPP_f447422815l_bool(hAPP_f2052909183l_bool(cOMBC_766524526l_bool,hAPP_f1427871743l_bool(hAPP_f32926423l_bool(cOMBB_779086262on_val,cOMBC_1491642377l_bool),hAPP_f1082373989l_bool(hAPP_f869803751l_bool(cOMBB_555068556on_val,hAPP_f810261999l_bool(cOMBB_1034324152on_val,member875476972on_val)),produc1611380469on_val))),U_5129)),hAPP_f447422815l_bool(hAPP_f2052909183l_bool(cOMBC_766524526l_bool,hAPP_f1427871743l_bool(hAPP_f32926423l_bool(cOMBB_779086262on_val,cOMBC_1491642377l_bool),hAPP_f1082373989l_bool(hAPP_f869803751l_bool(cOMBB_555068556on_val,hAPP_f810261999l_bool(cOMBB_1034324152on_val,member875476972on_val)),produc1611380469on_val))),U_5128))) ) ),
    inference(variable_rename,[status(thm)],[f_944_1]) ).

fof(f_944_3,plain,
    ( ! [U_5133,U_5131] :
        ( hBOOL(hAPP_f861853459l_bool(ord_le1270183657l_bool(hAPP_f447422815l_bool(hAPP_f2052909183l_bool(cOMBC_766524526l_bool,hAPP_f1427871743l_bool(hAPP_f32926423l_bool(cOMBB_779086262on_val,cOMBC_1491642377l_bool),hAPP_f1082373989l_bool(hAPP_f869803751l_bool(cOMBB_555068556on_val,hAPP_f810261999l_bool(cOMBB_1034324152on_val,member875476972on_val)),produc1611380469on_val))),U_5133)),hAPP_f447422815l_bool(hAPP_f2052909183l_bool(cOMBC_766524526l_bool,hAPP_f1427871743l_bool(hAPP_f32926423l_bool(cOMBB_779086262on_val,cOMBC_1491642377l_bool),hAPP_f1082373989l_bool(hAPP_f869803751l_bool(cOMBB_555068556on_val,hAPP_f810261999l_bool(cOMBB_1034324152on_val,member875476972on_val)),produc1611380469on_val))),U_5131)))
        | ~ hBOOL(hAPP_f458849545l_bool(ord_le1438917387l_bool(U_5133),U_5131)) )
    & ! [U_5132,U_5130] :
        ( hBOOL(hAPP_f458849545l_bool(ord_le1438917387l_bool(U_5132),U_5130))
        | ~ hBOOL(hAPP_f861853459l_bool(ord_le1270183657l_bool(hAPP_f447422815l_bool(hAPP_f2052909183l_bool(cOMBC_766524526l_bool,hAPP_f1427871743l_bool(hAPP_f32926423l_bool(cOMBB_779086262on_val,cOMBC_1491642377l_bool),hAPP_f1082373989l_bool(hAPP_f869803751l_bool(cOMBB_555068556on_val,hAPP_f810261999l_bool(cOMBB_1034324152on_val,member875476972on_val)),produc1611380469on_val))),U_5132)),hAPP_f447422815l_bool(hAPP_f2052909183l_bool(cOMBC_766524526l_bool,hAPP_f1427871743l_bool(hAPP_f32926423l_bool(cOMBB_779086262on_val,cOMBC_1491642377l_bool),hAPP_f1082373989l_bool(hAPP_f869803751l_bool(cOMBB_555068556on_val,hAPP_f810261999l_bool(cOMBB_1034324152on_val,member875476972on_val)),produc1611380469on_val))),U_5130))) ) ),
    inference(miniscope,[status(thm)],[f_944_2]) ).

cnf(f_944_4,plain,
    ( hBOOL(hAPP_f458849545l_bool(ord_le1438917387l_bool(U_5132),U_5130))
    | ~ hBOOL(hAPP_f861853459l_bool(ord_le1270183657l_bool(hAPP_f447422815l_bool(hAPP_f2052909183l_bool(cOMBC_766524526l_bool,hAPP_f1427871743l_bool(hAPP_f32926423l_bool(cOMBB_779086262on_val,cOMBC_1491642377l_bool),hAPP_f1082373989l_bool(hAPP_f869803751l_bool(cOMBB_555068556on_val,hAPP_f810261999l_bool(cOMBB_1034324152on_val,member875476972on_val)),produc1611380469on_val))),U_5132)),hAPP_f447422815l_bool(hAPP_f2052909183l_bool(cOMBC_766524526l_bool,hAPP_f1427871743l_bool(hAPP_f32926423l_bool(cOMBB_779086262on_val,cOMBC_1491642377l_bool),hAPP_f1082373989l_bool(hAPP_f869803751l_bool(cOMBB_555068556on_val,hAPP_f810261999l_bool(cOMBB_1034324152on_val,member875476972on_val)),produc1611380469on_val))),U_5130))) ),
    inference(clausify,[status(thm)],[f_944_3]) ).

cnf(f_944_5,plain,
    ( hBOOL(hAPP_f861853459l_bool(ord_le1270183657l_bool(hAPP_f447422815l_bool(hAPP_f2052909183l_bool(cOMBC_766524526l_bool,hAPP_f1427871743l_bool(hAPP_f32926423l_bool(cOMBB_779086262on_val,cOMBC_1491642377l_bool),hAPP_f1082373989l_bool(hAPP_f869803751l_bool(cOMBB_555068556on_val,hAPP_f810261999l_bool(cOMBB_1034324152on_val,member875476972on_val)),produc1611380469on_val))),U_5133)),hAPP_f447422815l_bool(hAPP_f2052909183l_bool(cOMBC_766524526l_bool,hAPP_f1427871743l_bool(hAPP_f32926423l_bool(cOMBB_779086262on_val,cOMBC_1491642377l_bool),hAPP_f1082373989l_bool(hAPP_f869803751l_bool(cOMBB_555068556on_val,hAPP_f810261999l_bool(cOMBB_1034324152on_val,member875476972on_val)),produc1611380469on_val))),U_5131)))
    | ~ hBOOL(hAPP_f458849545l_bool(ord_le1438917387l_bool(U_5133),U_5131)) ),
    inference(clausify,[status(thm)],[f_944_3]) ).

fof(f_945_1,plain,
    ! [R_2,S_4] :
      ( ( hBOOL(hAPP_f1776419603l_bool(ord_le1871967977r_bool(hAPP_f344506159r_bool(hAPP_f447563647r_bool(cOMBC_389248878r_bool,hAPP_f1032444159r_bool(hAPP_f254182519r_bool(cOMBB_1551681790t_char,cOMBC_1603044337l_bool),hAPP_f1764180741l_bool(hAPP_f247798919l_bool(cOMBB_526805108t_char,hAPP_f144783951l_bool(cOMBB_1586673472t_char,member1251428284t_char)),produc5062597t_char))),R_2)),hAPP_f344506159r_bool(hAPP_f447563647r_bool(cOMBC_389248878r_bool,hAPP_f1032444159r_bool(hAPP_f254182519r_bool(cOMBB_1551681790t_char,cOMBC_1603044337l_bool),hAPP_f1764180741l_bool(hAPP_f247798919l_bool(cOMBB_526805108t_char,hAPP_f144783951l_bool(cOMBB_1586673472t_char,member1251428284t_char)),produc5062597t_char))),S_4)))
        | ~ hBOOL(hAPP_f2106398425l_bool(ord_le640323803r_bool(R_2),S_4)) )
      & ( hBOOL(hAPP_f2106398425l_bool(ord_le640323803r_bool(R_2),S_4))
        | ~ hBOOL(hAPP_f1776419603l_bool(ord_le1871967977r_bool(hAPP_f344506159r_bool(hAPP_f447563647r_bool(cOMBC_389248878r_bool,hAPP_f1032444159r_bool(hAPP_f254182519r_bool(cOMBB_1551681790t_char,cOMBC_1603044337l_bool),hAPP_f1764180741l_bool(hAPP_f247798919l_bool(cOMBB_526805108t_char,hAPP_f144783951l_bool(cOMBB_1586673472t_char,member1251428284t_char)),produc5062597t_char))),R_2)),hAPP_f344506159r_bool(hAPP_f447563647r_bool(cOMBC_389248878r_bool,hAPP_f1032444159r_bool(hAPP_f254182519r_bool(cOMBB_1551681790t_char,cOMBC_1603044337l_bool),hAPP_f1764180741l_bool(hAPP_f247798919l_bool(cOMBB_526805108t_char,hAPP_f144783951l_bool(cOMBB_1586673472t_char,member1251428284t_char)),produc5062597t_char))),S_4))) ) ),
    inference(fof_nnf,[status(thm)],[fact_803_pred__subset__eq2]) ).

fof(f_945_2,plain,
    ! [U_5135,U_5134] :
      ( ( hBOOL(hAPP_f1776419603l_bool(ord_le1871967977r_bool(hAPP_f344506159r_bool(hAPP_f447563647r_bool(cOMBC_389248878r_bool,hAPP_f1032444159r_bool(hAPP_f254182519r_bool(cOMBB_1551681790t_char,cOMBC_1603044337l_bool),hAPP_f1764180741l_bool(hAPP_f247798919l_bool(cOMBB_526805108t_char,hAPP_f144783951l_bool(cOMBB_1586673472t_char,member1251428284t_char)),produc5062597t_char))),U_5135)),hAPP_f344506159r_bool(hAPP_f447563647r_bool(cOMBC_389248878r_bool,hAPP_f1032444159r_bool(hAPP_f254182519r_bool(cOMBB_1551681790t_char,cOMBC_1603044337l_bool),hAPP_f1764180741l_bool(hAPP_f247798919l_bool(cOMBB_526805108t_char,hAPP_f144783951l_bool(cOMBB_1586673472t_char,member1251428284t_char)),produc5062597t_char))),U_5134)))
        | ~ hBOOL(hAPP_f2106398425l_bool(ord_le640323803r_bool(U_5135),U_5134)) )
      & ( hBOOL(hAPP_f2106398425l_bool(ord_le640323803r_bool(U_5135),U_5134))
        | ~ hBOOL(hAPP_f1776419603l_bool(ord_le1871967977r_bool(hAPP_f344506159r_bool(hAPP_f447563647r_bool(cOMBC_389248878r_bool,hAPP_f1032444159r_bool(hAPP_f254182519r_bool(cOMBB_1551681790t_char,cOMBC_1603044337l_bool),hAPP_f1764180741l_bool(hAPP_f247798919l_bool(cOMBB_526805108t_char,hAPP_f144783951l_bool(cOMBB_1586673472t_char,member1251428284t_char)),produc5062597t_char))),U_5135)),hAPP_f344506159r_bool(hAPP_f447563647r_bool(cOMBC_389248878r_bool,hAPP_f1032444159r_bool(hAPP_f254182519r_bool(cOMBB_1551681790t_char,cOMBC_1603044337l_bool),hAPP_f1764180741l_bool(hAPP_f247798919l_bool(cOMBB_526805108t_char,hAPP_f144783951l_bool(cOMBB_1586673472t_char,member1251428284t_char)),produc5062597t_char))),U_5134))) ) ),
    inference(variable_rename,[status(thm)],[f_945_1]) ).

fof(f_945_3,plain,
    ( ! [U_5139,U_5137] :
        ( hBOOL(hAPP_f1776419603l_bool(ord_le1871967977r_bool(hAPP_f344506159r_bool(hAPP_f447563647r_bool(cOMBC_389248878r_bool,hAPP_f1032444159r_bool(hAPP_f254182519r_bool(cOMBB_1551681790t_char,cOMBC_1603044337l_bool),hAPP_f1764180741l_bool(hAPP_f247798919l_bool(cOMBB_526805108t_char,hAPP_f144783951l_bool(cOMBB_1586673472t_char,member1251428284t_char)),produc5062597t_char))),U_5139)),hAPP_f344506159r_bool(hAPP_f447563647r_bool(cOMBC_389248878r_bool,hAPP_f1032444159r_bool(hAPP_f254182519r_bool(cOMBB_1551681790t_char,cOMBC_1603044337l_bool),hAPP_f1764180741l_bool(hAPP_f247798919l_bool(cOMBB_526805108t_char,hAPP_f144783951l_bool(cOMBB_1586673472t_char,member1251428284t_char)),produc5062597t_char))),U_5137)))
        | ~ hBOOL(hAPP_f2106398425l_bool(ord_le640323803r_bool(U_5139),U_5137)) )
    & ! [U_5138,U_5136] :
        ( hBOOL(hAPP_f2106398425l_bool(ord_le640323803r_bool(U_5138),U_5136))
        | ~ hBOOL(hAPP_f1776419603l_bool(ord_le1871967977r_bool(hAPP_f344506159r_bool(hAPP_f447563647r_bool(cOMBC_389248878r_bool,hAPP_f1032444159r_bool(hAPP_f254182519r_bool(cOMBB_1551681790t_char,cOMBC_1603044337l_bool),hAPP_f1764180741l_bool(hAPP_f247798919l_bool(cOMBB_526805108t_char,hAPP_f144783951l_bool(cOMBB_1586673472t_char,member1251428284t_char)),produc5062597t_char))),U_5138)),hAPP_f344506159r_bool(hAPP_f447563647r_bool(cOMBC_389248878r_bool,hAPP_f1032444159r_bool(hAPP_f254182519r_bool(cOMBB_1551681790t_char,cOMBC_1603044337l_bool),hAPP_f1764180741l_bool(hAPP_f247798919l_bool(cOMBB_526805108t_char,hAPP_f144783951l_bool(cOMBB_1586673472t_char,member1251428284t_char)),produc5062597t_char))),U_5136))) ) ),
    inference(miniscope,[status(thm)],[f_945_2]) ).

cnf(f_945_4,plain,
    ( hBOOL(hAPP_f2106398425l_bool(ord_le640323803r_bool(U_5138),U_5136))
    | ~ hBOOL(hAPP_f1776419603l_bool(ord_le1871967977r_bool(hAPP_f344506159r_bool(hAPP_f447563647r_bool(cOMBC_389248878r_bool,hAPP_f1032444159r_bool(hAPP_f254182519r_bool(cOMBB_1551681790t_char,cOMBC_1603044337l_bool),hAPP_f1764180741l_bool(hAPP_f247798919l_bool(cOMBB_526805108t_char,hAPP_f144783951l_bool(cOMBB_1586673472t_char,member1251428284t_char)),produc5062597t_char))),U_5138)),hAPP_f344506159r_bool(hAPP_f447563647r_bool(cOMBC_389248878r_bool,hAPP_f1032444159r_bool(hAPP_f254182519r_bool(cOMBB_1551681790t_char,cOMBC_1603044337l_bool),hAPP_f1764180741l_bool(hAPP_f247798919l_bool(cOMBB_526805108t_char,hAPP_f144783951l_bool(cOMBB_1586673472t_char,member1251428284t_char)),produc5062597t_char))),U_5136))) ),
    inference(clausify,[status(thm)],[f_945_3]) ).

cnf(f_945_5,plain,
    ( hBOOL(hAPP_f1776419603l_bool(ord_le1871967977r_bool(hAPP_f344506159r_bool(hAPP_f447563647r_bool(cOMBC_389248878r_bool,hAPP_f1032444159r_bool(hAPP_f254182519r_bool(cOMBB_1551681790t_char,cOMBC_1603044337l_bool),hAPP_f1764180741l_bool(hAPP_f247798919l_bool(cOMBB_526805108t_char,hAPP_f144783951l_bool(cOMBB_1586673472t_char,member1251428284t_char)),produc5062597t_char))),U_5139)),hAPP_f344506159r_bool(hAPP_f447563647r_bool(cOMBC_389248878r_bool,hAPP_f1032444159r_bool(hAPP_f254182519r_bool(cOMBB_1551681790t_char,cOMBC_1603044337l_bool),hAPP_f1764180741l_bool(hAPP_f247798919l_bool(cOMBB_526805108t_char,hAPP_f144783951l_bool(cOMBB_1586673472t_char,member1251428284t_char)),produc5062597t_char))),U_5137)))
    | ~ hBOOL(hAPP_f2106398425l_bool(ord_le640323803r_bool(U_5139),U_5137)) ),
    inference(clausify,[status(thm)],[f_945_3]) ).

fof(f_946_1,plain,
    ! [R_2,S_4] :
      ( ( hBOOL(hAPP_f434955681l_bool(ord_le1050317687l_bool(hAPP_f1200025813l_bool(hAPP_f1089788553l_bool(cOMBC_967917532l_bool,hAPP_f2095325577l_bool(hAPP_f1135930489l_bool(cOMBB_1223415373on_val,cOMBC_1608987946l_bool),hAPP_f1204100177l_bool(hAPP_f2026692601l_bool(cOMBB_1977588741on_val,hAPP_f1510763001l_bool(cOMBB_565412073on_val,member773094996on_val)),produc1441475159on_val))),R_2)),hAPP_f1200025813l_bool(hAPP_f1089788553l_bool(cOMBC_967917532l_bool,hAPP_f2095325577l_bool(hAPP_f1135930489l_bool(cOMBB_1223415373on_val,cOMBC_1608987946l_bool),hAPP_f1204100177l_bool(hAPP_f2026692601l_bool(cOMBB_1977588741on_val,hAPP_f1510763001l_bool(cOMBB_565412073on_val,member773094996on_val)),produc1441475159on_val))),S_4)))
        | ~ hBOOL(hAPP_f1453283057l_bool(ord_le1776148979l_bool(R_2),S_4)) )
      & ( hBOOL(hAPP_f1453283057l_bool(ord_le1776148979l_bool(R_2),S_4))
        | ~ hBOOL(hAPP_f434955681l_bool(ord_le1050317687l_bool(hAPP_f1200025813l_bool(hAPP_f1089788553l_bool(cOMBC_967917532l_bool,hAPP_f2095325577l_bool(hAPP_f1135930489l_bool(cOMBB_1223415373on_val,cOMBC_1608987946l_bool),hAPP_f1204100177l_bool(hAPP_f2026692601l_bool(cOMBB_1977588741on_val,hAPP_f1510763001l_bool(cOMBB_565412073on_val,member773094996on_val)),produc1441475159on_val))),R_2)),hAPP_f1200025813l_bool(hAPP_f1089788553l_bool(cOMBC_967917532l_bool,hAPP_f2095325577l_bool(hAPP_f1135930489l_bool(cOMBB_1223415373on_val,cOMBC_1608987946l_bool),hAPP_f1204100177l_bool(hAPP_f2026692601l_bool(cOMBB_1977588741on_val,hAPP_f1510763001l_bool(cOMBB_565412073on_val,member773094996on_val)),produc1441475159on_val))),S_4))) ) ),
    inference(fof_nnf,[status(thm)],[fact_804_pred__subset__eq2]) ).

fof(f_946_2,plain,
    ! [U_5141,U_5140] :
      ( ( hBOOL(hAPP_f434955681l_bool(ord_le1050317687l_bool(hAPP_f1200025813l_bool(hAPP_f1089788553l_bool(cOMBC_967917532l_bool,hAPP_f2095325577l_bool(hAPP_f1135930489l_bool(cOMBB_1223415373on_val,cOMBC_1608987946l_bool),hAPP_f1204100177l_bool(hAPP_f2026692601l_bool(cOMBB_1977588741on_val,hAPP_f1510763001l_bool(cOMBB_565412073on_val,member773094996on_val)),produc1441475159on_val))),U_5141)),hAPP_f1200025813l_bool(hAPP_f1089788553l_bool(cOMBC_967917532l_bool,hAPP_f2095325577l_bool(hAPP_f1135930489l_bool(cOMBB_1223415373on_val,cOMBC_1608987946l_bool),hAPP_f1204100177l_bool(hAPP_f2026692601l_bool(cOMBB_1977588741on_val,hAPP_f1510763001l_bool(cOMBB_565412073on_val,member773094996on_val)),produc1441475159on_val))),U_5140)))
        | ~ hBOOL(hAPP_f1453283057l_bool(ord_le1776148979l_bool(U_5141),U_5140)) )
      & ( hBOOL(hAPP_f1453283057l_bool(ord_le1776148979l_bool(U_5141),U_5140))
        | ~ hBOOL(hAPP_f434955681l_bool(ord_le1050317687l_bool(hAPP_f1200025813l_bool(hAPP_f1089788553l_bool(cOMBC_967917532l_bool,hAPP_f2095325577l_bool(hAPP_f1135930489l_bool(cOMBB_1223415373on_val,cOMBC_1608987946l_bool),hAPP_f1204100177l_bool(hAPP_f2026692601l_bool(cOMBB_1977588741on_val,hAPP_f1510763001l_bool(cOMBB_565412073on_val,member773094996on_val)),produc1441475159on_val))),U_5141)),hAPP_f1200025813l_bool(hAPP_f1089788553l_bool(cOMBC_967917532l_bool,hAPP_f2095325577l_bool(hAPP_f1135930489l_bool(cOMBB_1223415373on_val,cOMBC_1608987946l_bool),hAPP_f1204100177l_bool(hAPP_f2026692601l_bool(cOMBB_1977588741on_val,hAPP_f1510763001l_bool(cOMBB_565412073on_val,member773094996on_val)),produc1441475159on_val))),U_5140))) ) ),
    inference(variable_rename,[status(thm)],[f_946_1]) ).

fof(f_946_3,plain,
    ( ! [U_5145,U_5143] :
        ( hBOOL(hAPP_f434955681l_bool(ord_le1050317687l_bool(hAPP_f1200025813l_bool(hAPP_f1089788553l_bool(cOMBC_967917532l_bool,hAPP_f2095325577l_bool(hAPP_f1135930489l_bool(cOMBB_1223415373on_val,cOMBC_1608987946l_bool),hAPP_f1204100177l_bool(hAPP_f2026692601l_bool(cOMBB_1977588741on_val,hAPP_f1510763001l_bool(cOMBB_565412073on_val,member773094996on_val)),produc1441475159on_val))),U_5145)),hAPP_f1200025813l_bool(hAPP_f1089788553l_bool(cOMBC_967917532l_bool,hAPP_f2095325577l_bool(hAPP_f1135930489l_bool(cOMBB_1223415373on_val,cOMBC_1608987946l_bool),hAPP_f1204100177l_bool(hAPP_f2026692601l_bool(cOMBB_1977588741on_val,hAPP_f1510763001l_bool(cOMBB_565412073on_val,member773094996on_val)),produc1441475159on_val))),U_5143)))
        | ~ hBOOL(hAPP_f1453283057l_bool(ord_le1776148979l_bool(U_5145),U_5143)) )
    & ! [U_5144,U_5142] :
        ( hBOOL(hAPP_f1453283057l_bool(ord_le1776148979l_bool(U_5144),U_5142))
        | ~ hBOOL(hAPP_f434955681l_bool(ord_le1050317687l_bool(hAPP_f1200025813l_bool(hAPP_f1089788553l_bool(cOMBC_967917532l_bool,hAPP_f2095325577l_bool(hAPP_f1135930489l_bool(cOMBB_1223415373on_val,cOMBC_1608987946l_bool),hAPP_f1204100177l_bool(hAPP_f2026692601l_bool(cOMBB_1977588741on_val,hAPP_f1510763001l_bool(cOMBB_565412073on_val,member773094996on_val)),produc1441475159on_val))),U_5144)),hAPP_f1200025813l_bool(hAPP_f1089788553l_bool(cOMBC_967917532l_bool,hAPP_f2095325577l_bool(hAPP_f1135930489l_bool(cOMBB_1223415373on_val,cOMBC_1608987946l_bool),hAPP_f1204100177l_bool(hAPP_f2026692601l_bool(cOMBB_1977588741on_val,hAPP_f1510763001l_bool(cOMBB_565412073on_val,member773094996on_val)),produc1441475159on_val))),U_5142))) ) ),
    inference(miniscope,[status(thm)],[f_946_2]) ).

cnf(f_946_4,plain,
    ( hBOOL(hAPP_f1453283057l_bool(ord_le1776148979l_bool(U_5144),U_5142))
    | ~ hBOOL(hAPP_f434955681l_bool(ord_le1050317687l_bool(hAPP_f1200025813l_bool(hAPP_f1089788553l_bool(cOMBC_967917532l_bool,hAPP_f2095325577l_bool(hAPP_f1135930489l_bool(cOMBB_1223415373on_val,cOMBC_1608987946l_bool),hAPP_f1204100177l_bool(hAPP_f2026692601l_bool(cOMBB_1977588741on_val,hAPP_f1510763001l_bool(cOMBB_565412073on_val,member773094996on_val)),produc1441475159on_val))),U_5144)),hAPP_f1200025813l_bool(hAPP_f1089788553l_bool(cOMBC_967917532l_bool,hAPP_f2095325577l_bool(hAPP_f1135930489l_bool(cOMBB_1223415373on_val,cOMBC_1608987946l_bool),hAPP_f1204100177l_bool(hAPP_f2026692601l_bool(cOMBB_1977588741on_val,hAPP_f1510763001l_bool(cOMBB_565412073on_val,member773094996on_val)),produc1441475159on_val))),U_5142))) ),
    inference(clausify,[status(thm)],[f_946_3]) ).

cnf(f_946_5,plain,
    ( hBOOL(hAPP_f434955681l_bool(ord_le1050317687l_bool(hAPP_f1200025813l_bool(hAPP_f1089788553l_bool(cOMBC_967917532l_bool,hAPP_f2095325577l_bool(hAPP_f1135930489l_bool(cOMBB_1223415373on_val,cOMBC_1608987946l_bool),hAPP_f1204100177l_bool(hAPP_f2026692601l_bool(cOMBB_1977588741on_val,hAPP_f1510763001l_bool(cOMBB_565412073on_val,member773094996on_val)),produc1441475159on_val))),U_5145)),hAPP_f1200025813l_bool(hAPP_f1089788553l_bool(cOMBC_967917532l_bool,hAPP_f2095325577l_bool(hAPP_f1135930489l_bool(cOMBB_1223415373on_val,cOMBC_1608987946l_bool),hAPP_f1204100177l_bool(hAPP_f2026692601l_bool(cOMBB_1977588741on_val,hAPP_f1510763001l_bool(cOMBB_565412073on_val,member773094996on_val)),produc1441475159on_val))),U_5143)))
    | ~ hBOOL(hAPP_f1453283057l_bool(ord_le1776148979l_bool(U_5145),U_5143)) ),
    inference(clausify,[status(thm)],[f_946_3]) ).

fof(f_947_1,plain,
    ! [R_2,S_4] :
      ( ( hBOOL(hAPP_f539072365l_bool(ord_le176694639r_bool(hAPP_f2091926485r_bool(hAPP_f1820115955r_bool(cOMBC_790582442r_bool,hAPP_f2059406941r_bool(hAPP_f108089737r_bool(cOMBB_2143526097t_char,cOMBC_220519196l_bool),hAPP_f165071409l_bool(hAPP_f1174637065l_bool(cOMBB_33167485t_char,hAPP_f380623487l_bool(cOMBB_1033145403t_char,member1840112042t_char)),produc1147572817t_char))),R_2)),hAPP_f2091926485r_bool(hAPP_f1820115955r_bool(cOMBC_790582442r_bool,hAPP_f2059406941r_bool(hAPP_f108089737r_bool(cOMBB_2143526097t_char,cOMBC_220519196l_bool),hAPP_f165071409l_bool(hAPP_f1174637065l_bool(cOMBB_33167485t_char,hAPP_f380623487l_bool(cOMBB_1033145403t_char,member1840112042t_char)),produc1147572817t_char))),S_4)))
        | ~ hBOOL(hAPP_f82569901l_bool(ord_le715555971r_bool(R_2),S_4)) )
      & ( hBOOL(hAPP_f82569901l_bool(ord_le715555971r_bool(R_2),S_4))
        | ~ hBOOL(hAPP_f539072365l_bool(ord_le176694639r_bool(hAPP_f2091926485r_bool(hAPP_f1820115955r_bool(cOMBC_790582442r_bool,hAPP_f2059406941r_bool(hAPP_f108089737r_bool(cOMBB_2143526097t_char,cOMBC_220519196l_bool),hAPP_f165071409l_bool(hAPP_f1174637065l_bool(cOMBB_33167485t_char,hAPP_f380623487l_bool(cOMBB_1033145403t_char,member1840112042t_char)),produc1147572817t_char))),R_2)),hAPP_f2091926485r_bool(hAPP_f1820115955r_bool(cOMBC_790582442r_bool,hAPP_f2059406941r_bool(hAPP_f108089737r_bool(cOMBB_2143526097t_char,cOMBC_220519196l_bool),hAPP_f165071409l_bool(hAPP_f1174637065l_bool(cOMBB_33167485t_char,hAPP_f380623487l_bool(cOMBB_1033145403t_char,member1840112042t_char)),produc1147572817t_char))),S_4))) ) ),
    inference(fof_nnf,[status(thm)],[fact_805_pred__subset__eq2]) ).

fof(f_947_2,plain,
    ! [U_5147,U_5146] :
      ( ( hBOOL(hAPP_f539072365l_bool(ord_le176694639r_bool(hAPP_f2091926485r_bool(hAPP_f1820115955r_bool(cOMBC_790582442r_bool,hAPP_f2059406941r_bool(hAPP_f108089737r_bool(cOMBB_2143526097t_char,cOMBC_220519196l_bool),hAPP_f165071409l_bool(hAPP_f1174637065l_bool(cOMBB_33167485t_char,hAPP_f380623487l_bool(cOMBB_1033145403t_char,member1840112042t_char)),produc1147572817t_char))),U_5147)),hAPP_f2091926485r_bool(hAPP_f1820115955r_bool(cOMBC_790582442r_bool,hAPP_f2059406941r_bool(hAPP_f108089737r_bool(cOMBB_2143526097t_char,cOMBC_220519196l_bool),hAPP_f165071409l_bool(hAPP_f1174637065l_bool(cOMBB_33167485t_char,hAPP_f380623487l_bool(cOMBB_1033145403t_char,member1840112042t_char)),produc1147572817t_char))),U_5146)))
        | ~ hBOOL(hAPP_f82569901l_bool(ord_le715555971r_bool(U_5147),U_5146)) )
      & ( hBOOL(hAPP_f82569901l_bool(ord_le715555971r_bool(U_5147),U_5146))
        | ~ hBOOL(hAPP_f539072365l_bool(ord_le176694639r_bool(hAPP_f2091926485r_bool(hAPP_f1820115955r_bool(cOMBC_790582442r_bool,hAPP_f2059406941r_bool(hAPP_f108089737r_bool(cOMBB_2143526097t_char,cOMBC_220519196l_bool),hAPP_f165071409l_bool(hAPP_f1174637065l_bool(cOMBB_33167485t_char,hAPP_f380623487l_bool(cOMBB_1033145403t_char,member1840112042t_char)),produc1147572817t_char))),U_5147)),hAPP_f2091926485r_bool(hAPP_f1820115955r_bool(cOMBC_790582442r_bool,hAPP_f2059406941r_bool(hAPP_f108089737r_bool(cOMBB_2143526097t_char,cOMBC_220519196l_bool),hAPP_f165071409l_bool(hAPP_f1174637065l_bool(cOMBB_33167485t_char,hAPP_f380623487l_bool(cOMBB_1033145403t_char,member1840112042t_char)),produc1147572817t_char))),U_5146))) ) ),
    inference(variable_rename,[status(thm)],[f_947_1]) ).

fof(f_947_3,plain,
    ( ! [U_5151,U_5149] :
        ( hBOOL(hAPP_f539072365l_bool(ord_le176694639r_bool(hAPP_f2091926485r_bool(hAPP_f1820115955r_bool(cOMBC_790582442r_bool,hAPP_f2059406941r_bool(hAPP_f108089737r_bool(cOMBB_2143526097t_char,cOMBC_220519196l_bool),hAPP_f165071409l_bool(hAPP_f1174637065l_bool(cOMBB_33167485t_char,hAPP_f380623487l_bool(cOMBB_1033145403t_char,member1840112042t_char)),produc1147572817t_char))),U_5151)),hAPP_f2091926485r_bool(hAPP_f1820115955r_bool(cOMBC_790582442r_bool,hAPP_f2059406941r_bool(hAPP_f108089737r_bool(cOMBB_2143526097t_char,cOMBC_220519196l_bool),hAPP_f165071409l_bool(hAPP_f1174637065l_bool(cOMBB_33167485t_char,hAPP_f380623487l_bool(cOMBB_1033145403t_char,member1840112042t_char)),produc1147572817t_char))),U_5149)))
        | ~ hBOOL(hAPP_f82569901l_bool(ord_le715555971r_bool(U_5151),U_5149)) )
    & ! [U_5150,U_5148] :
        ( hBOOL(hAPP_f82569901l_bool(ord_le715555971r_bool(U_5150),U_5148))
        | ~ hBOOL(hAPP_f539072365l_bool(ord_le176694639r_bool(hAPP_f2091926485r_bool(hAPP_f1820115955r_bool(cOMBC_790582442r_bool,hAPP_f2059406941r_bool(hAPP_f108089737r_bool(cOMBB_2143526097t_char,cOMBC_220519196l_bool),hAPP_f165071409l_bool(hAPP_f1174637065l_bool(cOMBB_33167485t_char,hAPP_f380623487l_bool(cOMBB_1033145403t_char,member1840112042t_char)),produc1147572817t_char))),U_5150)),hAPP_f2091926485r_bool(hAPP_f1820115955r_bool(cOMBC_790582442r_bool,hAPP_f2059406941r_bool(hAPP_f108089737r_bool(cOMBB_2143526097t_char,cOMBC_220519196l_bool),hAPP_f165071409l_bool(hAPP_f1174637065l_bool(cOMBB_33167485t_char,hAPP_f380623487l_bool(cOMBB_1033145403t_char,member1840112042t_char)),produc1147572817t_char))),U_5148))) ) ),
    inference(miniscope,[status(thm)],[f_947_2]) ).

cnf(f_947_4,plain,
    ( hBOOL(hAPP_f82569901l_bool(ord_le715555971r_bool(U_5150),U_5148))
    | ~ hBOOL(hAPP_f539072365l_bool(ord_le176694639r_bool(hAPP_f2091926485r_bool(hAPP_f1820115955r_bool(cOMBC_790582442r_bool,hAPP_f2059406941r_bool(hAPP_f108089737r_bool(cOMBB_2143526097t_char,cOMBC_220519196l_bool),hAPP_f165071409l_bool(hAPP_f1174637065l_bool(cOMBB_33167485t_char,hAPP_f380623487l_bool(cOMBB_1033145403t_char,member1840112042t_char)),produc1147572817t_char))),U_5150)),hAPP_f2091926485r_bool(hAPP_f1820115955r_bool(cOMBC_790582442r_bool,hAPP_f2059406941r_bool(hAPP_f108089737r_bool(cOMBB_2143526097t_char,cOMBC_220519196l_bool),hAPP_f165071409l_bool(hAPP_f1174637065l_bool(cOMBB_33167485t_char,hAPP_f380623487l_bool(cOMBB_1033145403t_char,member1840112042t_char)),produc1147572817t_char))),U_5148))) ),
    inference(clausify,[status(thm)],[f_947_3]) ).

cnf(f_947_5,plain,
    ( hBOOL(hAPP_f539072365l_bool(ord_le176694639r_bool(hAPP_f2091926485r_bool(hAPP_f1820115955r_bool(cOMBC_790582442r_bool,hAPP_f2059406941r_bool(hAPP_f108089737r_bool(cOMBB_2143526097t_char,cOMBC_220519196l_bool),hAPP_f165071409l_bool(hAPP_f1174637065l_bool(cOMBB_33167485t_char,hAPP_f380623487l_bool(cOMBB_1033145403t_char,member1840112042t_char)),produc1147572817t_char))),U_5151)),hAPP_f2091926485r_bool(hAPP_f1820115955r_bool(cOMBC_790582442r_bool,hAPP_f2059406941r_bool(hAPP_f108089737r_bool(cOMBB_2143526097t_char,cOMBC_220519196l_bool),hAPP_f165071409l_bool(hAPP_f1174637065l_bool(cOMBB_33167485t_char,hAPP_f380623487l_bool(cOMBB_1033145403t_char,member1840112042t_char)),produc1147572817t_char))),U_5149)))
    | ~ hBOOL(hAPP_f82569901l_bool(ord_le715555971r_bool(U_5151),U_5149)) ),
    inference(clausify,[status(thm)],[f_947_3]) ).

fof(f_948_1,plain,
    ! [R_2,S_4] :
      ( ( hBOOL(hAPP_f1409772418l_bool(ord_le458107652r_bool(hAPP_f306469557r_bool(hAPP_f197435839r_bool(cOMBC_886773442r_bool,hAPP_f1749915625r_bool(hAPP_f842743203r_bool(cOMBB_657296617har_ty,cOMBC_1407716098l_bool),hAPP_f935003377l_bool(hAPP_f162154931l_bool(cOMBB_859890145har_ty,hAPP_f1847120981l_bool(cOMBB_1035649854t_char,member1379348767t_char)),produc1152259904t_char))),R_2)),hAPP_f306469557r_bool(hAPP_f197435839r_bool(cOMBC_886773442r_bool,hAPP_f1749915625r_bool(hAPP_f842743203r_bool(cOMBB_657296617har_ty,cOMBC_1407716098l_bool),hAPP_f935003377l_bool(hAPP_f162154931l_bool(cOMBB_859890145har_ty,hAPP_f1847120981l_bool(cOMBB_1035649854t_char,member1379348767t_char)),produc1152259904t_char))),S_4)))
        | ~ hBOOL(hAPP_f1161798306l_bool(ord_le1734858744r_bool(R_2),S_4)) )
      & ( hBOOL(hAPP_f1161798306l_bool(ord_le1734858744r_bool(R_2),S_4))
        | ~ hBOOL(hAPP_f1409772418l_bool(ord_le458107652r_bool(hAPP_f306469557r_bool(hAPP_f197435839r_bool(cOMBC_886773442r_bool,hAPP_f1749915625r_bool(hAPP_f842743203r_bool(cOMBB_657296617har_ty,cOMBC_1407716098l_bool),hAPP_f935003377l_bool(hAPP_f162154931l_bool(cOMBB_859890145har_ty,hAPP_f1847120981l_bool(cOMBB_1035649854t_char,member1379348767t_char)),produc1152259904t_char))),R_2)),hAPP_f306469557r_bool(hAPP_f197435839r_bool(cOMBC_886773442r_bool,hAPP_f1749915625r_bool(hAPP_f842743203r_bool(cOMBB_657296617har_ty,cOMBC_1407716098l_bool),hAPP_f935003377l_bool(hAPP_f162154931l_bool(cOMBB_859890145har_ty,hAPP_f1847120981l_bool(cOMBB_1035649854t_char,member1379348767t_char)),produc1152259904t_char))),S_4))) ) ),
    inference(fof_nnf,[status(thm)],[fact_806_pred__subset__eq2]) ).

fof(f_948_2,plain,
    ! [U_5153,U_5152] :
      ( ( hBOOL(hAPP_f1409772418l_bool(ord_le458107652r_bool(hAPP_f306469557r_bool(hAPP_f197435839r_bool(cOMBC_886773442r_bool,hAPP_f1749915625r_bool(hAPP_f842743203r_bool(cOMBB_657296617har_ty,cOMBC_1407716098l_bool),hAPP_f935003377l_bool(hAPP_f162154931l_bool(cOMBB_859890145har_ty,hAPP_f1847120981l_bool(cOMBB_1035649854t_char,member1379348767t_char)),produc1152259904t_char))),U_5153)),hAPP_f306469557r_bool(hAPP_f197435839r_bool(cOMBC_886773442r_bool,hAPP_f1749915625r_bool(hAPP_f842743203r_bool(cOMBB_657296617har_ty,cOMBC_1407716098l_bool),hAPP_f935003377l_bool(hAPP_f162154931l_bool(cOMBB_859890145har_ty,hAPP_f1847120981l_bool(cOMBB_1035649854t_char,member1379348767t_char)),produc1152259904t_char))),U_5152)))
        | ~ hBOOL(hAPP_f1161798306l_bool(ord_le1734858744r_bool(U_5153),U_5152)) )
      & ( hBOOL(hAPP_f1161798306l_bool(ord_le1734858744r_bool(U_5153),U_5152))
        | ~ hBOOL(hAPP_f1409772418l_bool(ord_le458107652r_bool(hAPP_f306469557r_bool(hAPP_f197435839r_bool(cOMBC_886773442r_bool,hAPP_f1749915625r_bool(hAPP_f842743203r_bool(cOMBB_657296617har_ty,cOMBC_1407716098l_bool),hAPP_f935003377l_bool(hAPP_f162154931l_bool(cOMBB_859890145har_ty,hAPP_f1847120981l_bool(cOMBB_1035649854t_char,member1379348767t_char)),produc1152259904t_char))),U_5153)),hAPP_f306469557r_bool(hAPP_f197435839r_bool(cOMBC_886773442r_bool,hAPP_f1749915625r_bool(hAPP_f842743203r_bool(cOMBB_657296617har_ty,cOMBC_1407716098l_bool),hAPP_f935003377l_bool(hAPP_f162154931l_bool(cOMBB_859890145har_ty,hAPP_f1847120981l_bool(cOMBB_1035649854t_char,member1379348767t_char)),produc1152259904t_char))),U_5152))) ) ),
    inference(variable_rename,[status(thm)],[f_948_1]) ).

fof(f_948_3,plain,
    ( ! [U_5157,U_5155] :
        ( hBOOL(hAPP_f1409772418l_bool(ord_le458107652r_bool(hAPP_f306469557r_bool(hAPP_f197435839r_bool(cOMBC_886773442r_bool,hAPP_f1749915625r_bool(hAPP_f842743203r_bool(cOMBB_657296617har_ty,cOMBC_1407716098l_bool),hAPP_f935003377l_bool(hAPP_f162154931l_bool(cOMBB_859890145har_ty,hAPP_f1847120981l_bool(cOMBB_1035649854t_char,member1379348767t_char)),produc1152259904t_char))),U_5157)),hAPP_f306469557r_bool(hAPP_f197435839r_bool(cOMBC_886773442r_bool,hAPP_f1749915625r_bool(hAPP_f842743203r_bool(cOMBB_657296617har_ty,cOMBC_1407716098l_bool),hAPP_f935003377l_bool(hAPP_f162154931l_bool(cOMBB_859890145har_ty,hAPP_f1847120981l_bool(cOMBB_1035649854t_char,member1379348767t_char)),produc1152259904t_char))),U_5155)))
        | ~ hBOOL(hAPP_f1161798306l_bool(ord_le1734858744r_bool(U_5157),U_5155)) )
    & ! [U_5156,U_5154] :
        ( hBOOL(hAPP_f1161798306l_bool(ord_le1734858744r_bool(U_5156),U_5154))
        | ~ hBOOL(hAPP_f1409772418l_bool(ord_le458107652r_bool(hAPP_f306469557r_bool(hAPP_f197435839r_bool(cOMBC_886773442r_bool,hAPP_f1749915625r_bool(hAPP_f842743203r_bool(cOMBB_657296617har_ty,cOMBC_1407716098l_bool),hAPP_f935003377l_bool(hAPP_f162154931l_bool(cOMBB_859890145har_ty,hAPP_f1847120981l_bool(cOMBB_1035649854t_char,member1379348767t_char)),produc1152259904t_char))),U_5156)),hAPP_f306469557r_bool(hAPP_f197435839r_bool(cOMBC_886773442r_bool,hAPP_f1749915625r_bool(hAPP_f842743203r_bool(cOMBB_657296617har_ty,cOMBC_1407716098l_bool),hAPP_f935003377l_bool(hAPP_f162154931l_bool(cOMBB_859890145har_ty,hAPP_f1847120981l_bool(cOMBB_1035649854t_char,member1379348767t_char)),produc1152259904t_char))),U_5154))) ) ),
    inference(miniscope,[status(thm)],[f_948_2]) ).

cnf(f_948_4,plain,
    ( hBOOL(hAPP_f1161798306l_bool(ord_le1734858744r_bool(U_5156),U_5154))
    | ~ hBOOL(hAPP_f1409772418l_bool(ord_le458107652r_bool(hAPP_f306469557r_bool(hAPP_f197435839r_bool(cOMBC_886773442r_bool,hAPP_f1749915625r_bool(hAPP_f842743203r_bool(cOMBB_657296617har_ty,cOMBC_1407716098l_bool),hAPP_f935003377l_bool(hAPP_f162154931l_bool(cOMBB_859890145har_ty,hAPP_f1847120981l_bool(cOMBB_1035649854t_char,member1379348767t_char)),produc1152259904t_char))),U_5156)),hAPP_f306469557r_bool(hAPP_f197435839r_bool(cOMBC_886773442r_bool,hAPP_f1749915625r_bool(hAPP_f842743203r_bool(cOMBB_657296617har_ty,cOMBC_1407716098l_bool),hAPP_f935003377l_bool(hAPP_f162154931l_bool(cOMBB_859890145har_ty,hAPP_f1847120981l_bool(cOMBB_1035649854t_char,member1379348767t_char)),produc1152259904t_char))),U_5154))) ),
    inference(clausify,[status(thm)],[f_948_3]) ).

cnf(f_948_5,plain,
    ( hBOOL(hAPP_f1409772418l_bool(ord_le458107652r_bool(hAPP_f306469557r_bool(hAPP_f197435839r_bool(cOMBC_886773442r_bool,hAPP_f1749915625r_bool(hAPP_f842743203r_bool(cOMBB_657296617har_ty,cOMBC_1407716098l_bool),hAPP_f935003377l_bool(hAPP_f162154931l_bool(cOMBB_859890145har_ty,hAPP_f1847120981l_bool(cOMBB_1035649854t_char,member1379348767t_char)),produc1152259904t_char))),U_5157)),hAPP_f306469557r_bool(hAPP_f197435839r_bool(cOMBC_886773442r_bool,hAPP_f1749915625r_bool(hAPP_f842743203r_bool(cOMBB_657296617har_ty,cOMBC_1407716098l_bool),hAPP_f935003377l_bool(hAPP_f162154931l_bool(cOMBB_859890145har_ty,hAPP_f1847120981l_bool(cOMBB_1035649854t_char,member1379348767t_char)),produc1152259904t_char))),U_5155)))
    | ~ hBOOL(hAPP_f1161798306l_bool(ord_le1734858744r_bool(U_5157),U_5155)) ),
    inference(clausify,[status(thm)],[f_948_3]) ).

fof(f_949_1,plain,
    ! [R_2,S_4] :
      ( ( hBOOL(hAPP_f1520735791l_bool(ord_le1151384881r_bool(hAPP_f719350875r_bool(hAPP_f2133563379r_bool(cOMBC_1025440566r_bool,hAPP_f1957374161r_bool(hAPP_f304993943r_bool(cOMBB_847828016t_char,cOMBC_516637475l_bool),hAPP_f1817350437l_bool(hAPP_f614662951l_bool(cOMBB_1558246132t_char,hAPP_f251669717l_bool(cOMBB_773661144t_char,member1771544038t_char)),produc1483578759t_char))),R_2)),hAPP_f719350875r_bool(hAPP_f2133563379r_bool(cOMBC_1025440566r_bool,hAPP_f1957374161r_bool(hAPP_f304993943r_bool(cOMBB_847828016t_char,cOMBC_516637475l_bool),hAPP_f1817350437l_bool(hAPP_f614662951l_bool(cOMBB_1558246132t_char,hAPP_f251669717l_bool(cOMBB_773661144t_char,member1771544038t_char)),produc1483578759t_char))),S_4)))
        | ~ hBOOL(hAPP_f2050077417l_bool(ord_le725666495r_bool(R_2),S_4)) )
      & ( hBOOL(hAPP_f2050077417l_bool(ord_le725666495r_bool(R_2),S_4))
        | ~ hBOOL(hAPP_f1520735791l_bool(ord_le1151384881r_bool(hAPP_f719350875r_bool(hAPP_f2133563379r_bool(cOMBC_1025440566r_bool,hAPP_f1957374161r_bool(hAPP_f304993943r_bool(cOMBB_847828016t_char,cOMBC_516637475l_bool),hAPP_f1817350437l_bool(hAPP_f614662951l_bool(cOMBB_1558246132t_char,hAPP_f251669717l_bool(cOMBB_773661144t_char,member1771544038t_char)),produc1483578759t_char))),R_2)),hAPP_f719350875r_bool(hAPP_f2133563379r_bool(cOMBC_1025440566r_bool,hAPP_f1957374161r_bool(hAPP_f304993943r_bool(cOMBB_847828016t_char,cOMBC_516637475l_bool),hAPP_f1817350437l_bool(hAPP_f614662951l_bool(cOMBB_1558246132t_char,hAPP_f251669717l_bool(cOMBB_773661144t_char,member1771544038t_char)),produc1483578759t_char))),S_4))) ) ),
    inference(fof_nnf,[status(thm)],[fact_807_pred__subset__eq2]) ).

fof(f_949_2,plain,
    ! [U_5159,U_5158] :
      ( ( hBOOL(hAPP_f1520735791l_bool(ord_le1151384881r_bool(hAPP_f719350875r_bool(hAPP_f2133563379r_bool(cOMBC_1025440566r_bool,hAPP_f1957374161r_bool(hAPP_f304993943r_bool(cOMBB_847828016t_char,cOMBC_516637475l_bool),hAPP_f1817350437l_bool(hAPP_f614662951l_bool(cOMBB_1558246132t_char,hAPP_f251669717l_bool(cOMBB_773661144t_char,member1771544038t_char)),produc1483578759t_char))),U_5159)),hAPP_f719350875r_bool(hAPP_f2133563379r_bool(cOMBC_1025440566r_bool,hAPP_f1957374161r_bool(hAPP_f304993943r_bool(cOMBB_847828016t_char,cOMBC_516637475l_bool),hAPP_f1817350437l_bool(hAPP_f614662951l_bool(cOMBB_1558246132t_char,hAPP_f251669717l_bool(cOMBB_773661144t_char,member1771544038t_char)),produc1483578759t_char))),U_5158)))
        | ~ hBOOL(hAPP_f2050077417l_bool(ord_le725666495r_bool(U_5159),U_5158)) )
      & ( hBOOL(hAPP_f2050077417l_bool(ord_le725666495r_bool(U_5159),U_5158))
        | ~ hBOOL(hAPP_f1520735791l_bool(ord_le1151384881r_bool(hAPP_f719350875r_bool(hAPP_f2133563379r_bool(cOMBC_1025440566r_bool,hAPP_f1957374161r_bool(hAPP_f304993943r_bool(cOMBB_847828016t_char,cOMBC_516637475l_bool),hAPP_f1817350437l_bool(hAPP_f614662951l_bool(cOMBB_1558246132t_char,hAPP_f251669717l_bool(cOMBB_773661144t_char,member1771544038t_char)),produc1483578759t_char))),U_5159)),hAPP_f719350875r_bool(hAPP_f2133563379r_bool(cOMBC_1025440566r_bool,hAPP_f1957374161r_bool(hAPP_f304993943r_bool(cOMBB_847828016t_char,cOMBC_516637475l_bool),hAPP_f1817350437l_bool(hAPP_f614662951l_bool(cOMBB_1558246132t_char,hAPP_f251669717l_bool(cOMBB_773661144t_char,member1771544038t_char)),produc1483578759t_char))),U_5158))) ) ),
    inference(variable_rename,[status(thm)],[f_949_1]) ).

fof(f_949_3,plain,
    ( ! [U_5163,U_5161] :
        ( hBOOL(hAPP_f1520735791l_bool(ord_le1151384881r_bool(hAPP_f719350875r_bool(hAPP_f2133563379r_bool(cOMBC_1025440566r_bool,hAPP_f1957374161r_bool(hAPP_f304993943r_bool(cOMBB_847828016t_char,cOMBC_516637475l_bool),hAPP_f1817350437l_bool(hAPP_f614662951l_bool(cOMBB_1558246132t_char,hAPP_f251669717l_bool(cOMBB_773661144t_char,member1771544038t_char)),produc1483578759t_char))),U_5163)),hAPP_f719350875r_bool(hAPP_f2133563379r_bool(cOMBC_1025440566r_bool,hAPP_f1957374161r_bool(hAPP_f304993943r_bool(cOMBB_847828016t_char,cOMBC_516637475l_bool),hAPP_f1817350437l_bool(hAPP_f614662951l_bool(cOMBB_1558246132t_char,hAPP_f251669717l_bool(cOMBB_773661144t_char,member1771544038t_char)),produc1483578759t_char))),U_5161)))
        | ~ hBOOL(hAPP_f2050077417l_bool(ord_le725666495r_bool(U_5163),U_5161)) )
    & ! [U_5162,U_5160] :
        ( hBOOL(hAPP_f2050077417l_bool(ord_le725666495r_bool(U_5162),U_5160))
        | ~ hBOOL(hAPP_f1520735791l_bool(ord_le1151384881r_bool(hAPP_f719350875r_bool(hAPP_f2133563379r_bool(cOMBC_1025440566r_bool,hAPP_f1957374161r_bool(hAPP_f304993943r_bool(cOMBB_847828016t_char,cOMBC_516637475l_bool),hAPP_f1817350437l_bool(hAPP_f614662951l_bool(cOMBB_1558246132t_char,hAPP_f251669717l_bool(cOMBB_773661144t_char,member1771544038t_char)),produc1483578759t_char))),U_5162)),hAPP_f719350875r_bool(hAPP_f2133563379r_bool(cOMBC_1025440566r_bool,hAPP_f1957374161r_bool(hAPP_f304993943r_bool(cOMBB_847828016t_char,cOMBC_516637475l_bool),hAPP_f1817350437l_bool(hAPP_f614662951l_bool(cOMBB_1558246132t_char,hAPP_f251669717l_bool(cOMBB_773661144t_char,member1771544038t_char)),produc1483578759t_char))),U_5160))) ) ),
    inference(miniscope,[status(thm)],[f_949_2]) ).

cnf(f_949_4,plain,
    ( hBOOL(hAPP_f2050077417l_bool(ord_le725666495r_bool(U_5162),U_5160))
    | ~ hBOOL(hAPP_f1520735791l_bool(ord_le1151384881r_bool(hAPP_f719350875r_bool(hAPP_f2133563379r_bool(cOMBC_1025440566r_bool,hAPP_f1957374161r_bool(hAPP_f304993943r_bool(cOMBB_847828016t_char,cOMBC_516637475l_bool),hAPP_f1817350437l_bool(hAPP_f614662951l_bool(cOMBB_1558246132t_char,hAPP_f251669717l_bool(cOMBB_773661144t_char,member1771544038t_char)),produc1483578759t_char))),U_5162)),hAPP_f719350875r_bool(hAPP_f2133563379r_bool(cOMBC_1025440566r_bool,hAPP_f1957374161r_bool(hAPP_f304993943r_bool(cOMBB_847828016t_char,cOMBC_516637475l_bool),hAPP_f1817350437l_bool(hAPP_f614662951l_bool(cOMBB_1558246132t_char,hAPP_f251669717l_bool(cOMBB_773661144t_char,member1771544038t_char)),produc1483578759t_char))),U_5160))) ),
    inference(clausify,[status(thm)],[f_949_3]) ).

cnf(f_949_5,plain,
    ( hBOOL(hAPP_f1520735791l_bool(ord_le1151384881r_bool(hAPP_f719350875r_bool(hAPP_f2133563379r_bool(cOMBC_1025440566r_bool,hAPP_f1957374161r_bool(hAPP_f304993943r_bool(cOMBB_847828016t_char,cOMBC_516637475l_bool),hAPP_f1817350437l_bool(hAPP_f614662951l_bool(cOMBB_1558246132t_char,hAPP_f251669717l_bool(cOMBB_773661144t_char,member1771544038t_char)),produc1483578759t_char))),U_5163)),hAPP_f719350875r_bool(hAPP_f2133563379r_bool(cOMBC_1025440566r_bool,hAPP_f1957374161r_bool(hAPP_f304993943r_bool(cOMBB_847828016t_char,cOMBC_516637475l_bool),hAPP_f1817350437l_bool(hAPP_f614662951l_bool(cOMBB_1558246132t_char,hAPP_f251669717l_bool(cOMBB_773661144t_char,member1771544038t_char)),produc1483578759t_char))),U_5161)))
    | ~ hBOOL(hAPP_f2050077417l_bool(ord_le725666495r_bool(U_5163),U_5161)) ),
    inference(clausify,[status(thm)],[f_949_3]) ).

fof(f_950_1,plain,
    ! [R_2,S_4] :
      ( ( hBOOL(hAPP_f1118567467l_bool(ord_le989574145r_bool(hAPP_f1051205629r_bool(hAPP_f987862447r_bool(cOMBC_1387630958r_bool,hAPP_f1449341487r_bool(hAPP_f1823921107r_bool(cOMBB_308691073st_val,cOMBC_818212448l_bool),hAPP_f2118054305l_bool(hAPP_f1687138147l_bool(cOMBB_2078271971st_val,hAPP_f1612138403l_bool(cOMBB_961360819t_char,member699351154t_char)),produc1916172923t_char))),R_2)),hAPP_f1051205629r_bool(hAPP_f987862447r_bool(cOMBC_1387630958r_bool,hAPP_f1449341487r_bool(hAPP_f1823921107r_bool(cOMBB_308691073st_val,cOMBC_818212448l_bool),hAPP_f2118054305l_bool(hAPP_f1687138147l_bool(cOMBB_2078271971st_val,hAPP_f1612138403l_bool(cOMBB_961360819t_char,member699351154t_char)),produc1916172923t_char))),S_4)))
        | ~ hBOOL(hAPP_f1314764175l_bool(ord_le1852058257r_bool(R_2),S_4)) )
      & ( hBOOL(hAPP_f1314764175l_bool(ord_le1852058257r_bool(R_2),S_4))
        | ~ hBOOL(hAPP_f1118567467l_bool(ord_le989574145r_bool(hAPP_f1051205629r_bool(hAPP_f987862447r_bool(cOMBC_1387630958r_bool,hAPP_f1449341487r_bool(hAPP_f1823921107r_bool(cOMBB_308691073st_val,cOMBC_818212448l_bool),hAPP_f2118054305l_bool(hAPP_f1687138147l_bool(cOMBB_2078271971st_val,hAPP_f1612138403l_bool(cOMBB_961360819t_char,member699351154t_char)),produc1916172923t_char))),R_2)),hAPP_f1051205629r_bool(hAPP_f987862447r_bool(cOMBC_1387630958r_bool,hAPP_f1449341487r_bool(hAPP_f1823921107r_bool(cOMBB_308691073st_val,cOMBC_818212448l_bool),hAPP_f2118054305l_bool(hAPP_f1687138147l_bool(cOMBB_2078271971st_val,hAPP_f1612138403l_bool(cOMBB_961360819t_char,member699351154t_char)),produc1916172923t_char))),S_4))) ) ),
    inference(fof_nnf,[status(thm)],[fact_808_pred__subset__eq2]) ).

fof(f_950_2,plain,
    ! [U_5165,U_5164] :
      ( ( hBOOL(hAPP_f1118567467l_bool(ord_le989574145r_bool(hAPP_f1051205629r_bool(hAPP_f987862447r_bool(cOMBC_1387630958r_bool,hAPP_f1449341487r_bool(hAPP_f1823921107r_bool(cOMBB_308691073st_val,cOMBC_818212448l_bool),hAPP_f2118054305l_bool(hAPP_f1687138147l_bool(cOMBB_2078271971st_val,hAPP_f1612138403l_bool(cOMBB_961360819t_char,member699351154t_char)),produc1916172923t_char))),U_5165)),hAPP_f1051205629r_bool(hAPP_f987862447r_bool(cOMBC_1387630958r_bool,hAPP_f1449341487r_bool(hAPP_f1823921107r_bool(cOMBB_308691073st_val,cOMBC_818212448l_bool),hAPP_f2118054305l_bool(hAPP_f1687138147l_bool(cOMBB_2078271971st_val,hAPP_f1612138403l_bool(cOMBB_961360819t_char,member699351154t_char)),produc1916172923t_char))),U_5164)))
        | ~ hBOOL(hAPP_f1314764175l_bool(ord_le1852058257r_bool(U_5165),U_5164)) )
      & ( hBOOL(hAPP_f1314764175l_bool(ord_le1852058257r_bool(U_5165),U_5164))
        | ~ hBOOL(hAPP_f1118567467l_bool(ord_le989574145r_bool(hAPP_f1051205629r_bool(hAPP_f987862447r_bool(cOMBC_1387630958r_bool,hAPP_f1449341487r_bool(hAPP_f1823921107r_bool(cOMBB_308691073st_val,cOMBC_818212448l_bool),hAPP_f2118054305l_bool(hAPP_f1687138147l_bool(cOMBB_2078271971st_val,hAPP_f1612138403l_bool(cOMBB_961360819t_char,member699351154t_char)),produc1916172923t_char))),U_5165)),hAPP_f1051205629r_bool(hAPP_f987862447r_bool(cOMBC_1387630958r_bool,hAPP_f1449341487r_bool(hAPP_f1823921107r_bool(cOMBB_308691073st_val,cOMBC_818212448l_bool),hAPP_f2118054305l_bool(hAPP_f1687138147l_bool(cOMBB_2078271971st_val,hAPP_f1612138403l_bool(cOMBB_961360819t_char,member699351154t_char)),produc1916172923t_char))),U_5164))) ) ),
    inference(variable_rename,[status(thm)],[f_950_1]) ).

fof(f_950_3,plain,
    ( ! [U_5169,U_5167] :
        ( hBOOL(hAPP_f1118567467l_bool(ord_le989574145r_bool(hAPP_f1051205629r_bool(hAPP_f987862447r_bool(cOMBC_1387630958r_bool,hAPP_f1449341487r_bool(hAPP_f1823921107r_bool(cOMBB_308691073st_val,cOMBC_818212448l_bool),hAPP_f2118054305l_bool(hAPP_f1687138147l_bool(cOMBB_2078271971st_val,hAPP_f1612138403l_bool(cOMBB_961360819t_char,member699351154t_char)),produc1916172923t_char))),U_5169)),hAPP_f1051205629r_bool(hAPP_f987862447r_bool(cOMBC_1387630958r_bool,hAPP_f1449341487r_bool(hAPP_f1823921107r_bool(cOMBB_308691073st_val,cOMBC_818212448l_bool),hAPP_f2118054305l_bool(hAPP_f1687138147l_bool(cOMBB_2078271971st_val,hAPP_f1612138403l_bool(cOMBB_961360819t_char,member699351154t_char)),produc1916172923t_char))),U_5167)))
        | ~ hBOOL(hAPP_f1314764175l_bool(ord_le1852058257r_bool(U_5169),U_5167)) )
    & ! [U_5168,U_5166] :
        ( hBOOL(hAPP_f1314764175l_bool(ord_le1852058257r_bool(U_5168),U_5166))
        | ~ hBOOL(hAPP_f1118567467l_bool(ord_le989574145r_bool(hAPP_f1051205629r_bool(hAPP_f987862447r_bool(cOMBC_1387630958r_bool,hAPP_f1449341487r_bool(hAPP_f1823921107r_bool(cOMBB_308691073st_val,cOMBC_818212448l_bool),hAPP_f2118054305l_bool(hAPP_f1687138147l_bool(cOMBB_2078271971st_val,hAPP_f1612138403l_bool(cOMBB_961360819t_char,member699351154t_char)),produc1916172923t_char))),U_5168)),hAPP_f1051205629r_bool(hAPP_f987862447r_bool(cOMBC_1387630958r_bool,hAPP_f1449341487r_bool(hAPP_f1823921107r_bool(cOMBB_308691073st_val,cOMBC_818212448l_bool),hAPP_f2118054305l_bool(hAPP_f1687138147l_bool(cOMBB_2078271971st_val,hAPP_f1612138403l_bool(cOMBB_961360819t_char,member699351154t_char)),produc1916172923t_char))),U_5166))) ) ),
    inference(miniscope,[status(thm)],[f_950_2]) ).

cnf(f_950_4,plain,
    ( hBOOL(hAPP_f1314764175l_bool(ord_le1852058257r_bool(U_5168),U_5166))
    | ~ hBOOL(hAPP_f1118567467l_bool(ord_le989574145r_bool(hAPP_f1051205629r_bool(hAPP_f987862447r_bool(cOMBC_1387630958r_bool,hAPP_f1449341487r_bool(hAPP_f1823921107r_bool(cOMBB_308691073st_val,cOMBC_818212448l_bool),hAPP_f2118054305l_bool(hAPP_f1687138147l_bool(cOMBB_2078271971st_val,hAPP_f1612138403l_bool(cOMBB_961360819t_char,member699351154t_char)),produc1916172923t_char))),U_5168)),hAPP_f1051205629r_bool(hAPP_f987862447r_bool(cOMBC_1387630958r_bool,hAPP_f1449341487r_bool(hAPP_f1823921107r_bool(cOMBB_308691073st_val,cOMBC_818212448l_bool),hAPP_f2118054305l_bool(hAPP_f1687138147l_bool(cOMBB_2078271971st_val,hAPP_f1612138403l_bool(cOMBB_961360819t_char,member699351154t_char)),produc1916172923t_char))),U_5166))) ),
    inference(clausify,[status(thm)],[f_950_3]) ).

cnf(f_950_5,plain,
    ( hBOOL(hAPP_f1118567467l_bool(ord_le989574145r_bool(hAPP_f1051205629r_bool(hAPP_f987862447r_bool(cOMBC_1387630958r_bool,hAPP_f1449341487r_bool(hAPP_f1823921107r_bool(cOMBB_308691073st_val,cOMBC_818212448l_bool),hAPP_f2118054305l_bool(hAPP_f1687138147l_bool(cOMBB_2078271971st_val,hAPP_f1612138403l_bool(cOMBB_961360819t_char,member699351154t_char)),produc1916172923t_char))),U_5169)),hAPP_f1051205629r_bool(hAPP_f987862447r_bool(cOMBC_1387630958r_bool,hAPP_f1449341487r_bool(hAPP_f1823921107r_bool(cOMBB_308691073st_val,cOMBC_818212448l_bool),hAPP_f2118054305l_bool(hAPP_f1687138147l_bool(cOMBB_2078271971st_val,hAPP_f1612138403l_bool(cOMBB_961360819t_char,member699351154t_char)),produc1916172923t_char))),U_5167)))
    | ~ hBOOL(hAPP_f1314764175l_bool(ord_le1852058257r_bool(U_5169),U_5167)) ),
    inference(clausify,[status(thm)],[f_950_3]) ).

fof(f_951_1,plain,
    ! [R_2,S_4] :
      ( ( hBOOL(hAPP_f1889282162l_bool(ord_le1449176264r_bool(hAPP_f2071340985r_bool(hAPP_f133320957r_bool(cOMBC_1127703214r_bool,hAPP_f1608277885r_bool(hAPP_f1134248971r_bool(cOMBB_338473166ist_ty,cOMBC_1365742487l_bool),hAPP_f2047757465l_bool(hAPP_f466945179l_bool(cOMBB_68065882ist_ty,hAPP_f693085049l_bool(cOMBB_147773915t_char,member140606439t_char)),produc1909267824t_char))),R_2)),hAPP_f2071340985r_bool(hAPP_f133320957r_bool(cOMBC_1127703214r_bool,hAPP_f1608277885r_bool(hAPP_f1134248971r_bool(cOMBB_338473166ist_ty,cOMBC_1365742487l_bool),hAPP_f2047757465l_bool(hAPP_f466945179l_bool(cOMBB_68065882ist_ty,hAPP_f693085049l_bool(cOMBB_147773915t_char,member140606439t_char)),produc1909267824t_char))),S_4)))
        | ~ hBOOL(hAPP_f1746574980l_bool(ord_le1218729222r_bool(R_2),S_4)) )
      & ( hBOOL(hAPP_f1746574980l_bool(ord_le1218729222r_bool(R_2),S_4))
        | ~ hBOOL(hAPP_f1889282162l_bool(ord_le1449176264r_bool(hAPP_f2071340985r_bool(hAPP_f133320957r_bool(cOMBC_1127703214r_bool,hAPP_f1608277885r_bool(hAPP_f1134248971r_bool(cOMBB_338473166ist_ty,cOMBC_1365742487l_bool),hAPP_f2047757465l_bool(hAPP_f466945179l_bool(cOMBB_68065882ist_ty,hAPP_f693085049l_bool(cOMBB_147773915t_char,member140606439t_char)),produc1909267824t_char))),R_2)),hAPP_f2071340985r_bool(hAPP_f133320957r_bool(cOMBC_1127703214r_bool,hAPP_f1608277885r_bool(hAPP_f1134248971r_bool(cOMBB_338473166ist_ty,cOMBC_1365742487l_bool),hAPP_f2047757465l_bool(hAPP_f466945179l_bool(cOMBB_68065882ist_ty,hAPP_f693085049l_bool(cOMBB_147773915t_char,member140606439t_char)),produc1909267824t_char))),S_4))) ) ),
    inference(fof_nnf,[status(thm)],[fact_809_pred__subset__eq2]) ).

fof(f_951_2,plain,
    ! [U_5171,U_5170] :
      ( ( hBOOL(hAPP_f1889282162l_bool(ord_le1449176264r_bool(hAPP_f2071340985r_bool(hAPP_f133320957r_bool(cOMBC_1127703214r_bool,hAPP_f1608277885r_bool(hAPP_f1134248971r_bool(cOMBB_338473166ist_ty,cOMBC_1365742487l_bool),hAPP_f2047757465l_bool(hAPP_f466945179l_bool(cOMBB_68065882ist_ty,hAPP_f693085049l_bool(cOMBB_147773915t_char,member140606439t_char)),produc1909267824t_char))),U_5171)),hAPP_f2071340985r_bool(hAPP_f133320957r_bool(cOMBC_1127703214r_bool,hAPP_f1608277885r_bool(hAPP_f1134248971r_bool(cOMBB_338473166ist_ty,cOMBC_1365742487l_bool),hAPP_f2047757465l_bool(hAPP_f466945179l_bool(cOMBB_68065882ist_ty,hAPP_f693085049l_bool(cOMBB_147773915t_char,member140606439t_char)),produc1909267824t_char))),U_5170)))
        | ~ hBOOL(hAPP_f1746574980l_bool(ord_le1218729222r_bool(U_5171),U_5170)) )
      & ( hBOOL(hAPP_f1746574980l_bool(ord_le1218729222r_bool(U_5171),U_5170))
        | ~ hBOOL(hAPP_f1889282162l_bool(ord_le1449176264r_bool(hAPP_f2071340985r_bool(hAPP_f133320957r_bool(cOMBC_1127703214r_bool,hAPP_f1608277885r_bool(hAPP_f1134248971r_bool(cOMBB_338473166ist_ty,cOMBC_1365742487l_bool),hAPP_f2047757465l_bool(hAPP_f466945179l_bool(cOMBB_68065882ist_ty,hAPP_f693085049l_bool(cOMBB_147773915t_char,member140606439t_char)),produc1909267824t_char))),U_5171)),hAPP_f2071340985r_bool(hAPP_f133320957r_bool(cOMBC_1127703214r_bool,hAPP_f1608277885r_bool(hAPP_f1134248971r_bool(cOMBB_338473166ist_ty,cOMBC_1365742487l_bool),hAPP_f2047757465l_bool(hAPP_f466945179l_bool(cOMBB_68065882ist_ty,hAPP_f693085049l_bool(cOMBB_147773915t_char,member140606439t_char)),produc1909267824t_char))),U_5170))) ) ),
    inference(variable_rename,[status(thm)],[f_951_1]) ).

fof(f_951_3,plain,
    ( ! [U_5175,U_5173] :
        ( hBOOL(hAPP_f1889282162l_bool(ord_le1449176264r_bool(hAPP_f2071340985r_bool(hAPP_f133320957r_bool(cOMBC_1127703214r_bool,hAPP_f1608277885r_bool(hAPP_f1134248971r_bool(cOMBB_338473166ist_ty,cOMBC_1365742487l_bool),hAPP_f2047757465l_bool(hAPP_f466945179l_bool(cOMBB_68065882ist_ty,hAPP_f693085049l_bool(cOMBB_147773915t_char,member140606439t_char)),produc1909267824t_char))),U_5175)),hAPP_f2071340985r_bool(hAPP_f133320957r_bool(cOMBC_1127703214r_bool,hAPP_f1608277885r_bool(hAPP_f1134248971r_bool(cOMBB_338473166ist_ty,cOMBC_1365742487l_bool),hAPP_f2047757465l_bool(hAPP_f466945179l_bool(cOMBB_68065882ist_ty,hAPP_f693085049l_bool(cOMBB_147773915t_char,member140606439t_char)),produc1909267824t_char))),U_5173)))
        | ~ hBOOL(hAPP_f1746574980l_bool(ord_le1218729222r_bool(U_5175),U_5173)) )
    & ! [U_5174,U_5172] :
        ( hBOOL(hAPP_f1746574980l_bool(ord_le1218729222r_bool(U_5174),U_5172))
        | ~ hBOOL(hAPP_f1889282162l_bool(ord_le1449176264r_bool(hAPP_f2071340985r_bool(hAPP_f133320957r_bool(cOMBC_1127703214r_bool,hAPP_f1608277885r_bool(hAPP_f1134248971r_bool(cOMBB_338473166ist_ty,cOMBC_1365742487l_bool),hAPP_f2047757465l_bool(hAPP_f466945179l_bool(cOMBB_68065882ist_ty,hAPP_f693085049l_bool(cOMBB_147773915t_char,member140606439t_char)),produc1909267824t_char))),U_5174)),hAPP_f2071340985r_bool(hAPP_f133320957r_bool(cOMBC_1127703214r_bool,hAPP_f1608277885r_bool(hAPP_f1134248971r_bool(cOMBB_338473166ist_ty,cOMBC_1365742487l_bool),hAPP_f2047757465l_bool(hAPP_f466945179l_bool(cOMBB_68065882ist_ty,hAPP_f693085049l_bool(cOMBB_147773915t_char,member140606439t_char)),produc1909267824t_char))),U_5172))) ) ),
    inference(miniscope,[status(thm)],[f_951_2]) ).

cnf(f_951_4,plain,
    ( hBOOL(hAPP_f1746574980l_bool(ord_le1218729222r_bool(U_5174),U_5172))
    | ~ hBOOL(hAPP_f1889282162l_bool(ord_le1449176264r_bool(hAPP_f2071340985r_bool(hAPP_f133320957r_bool(cOMBC_1127703214r_bool,hAPP_f1608277885r_bool(hAPP_f1134248971r_bool(cOMBB_338473166ist_ty,cOMBC_1365742487l_bool),hAPP_f2047757465l_bool(hAPP_f466945179l_bool(cOMBB_68065882ist_ty,hAPP_f693085049l_bool(cOMBB_147773915t_char,member140606439t_char)),produc1909267824t_char))),U_5174)),hAPP_f2071340985r_bool(hAPP_f133320957r_bool(cOMBC_1127703214r_bool,hAPP_f1608277885r_bool(hAPP_f1134248971r_bool(cOMBB_338473166ist_ty,cOMBC_1365742487l_bool),hAPP_f2047757465l_bool(hAPP_f466945179l_bool(cOMBB_68065882ist_ty,hAPP_f693085049l_bool(cOMBB_147773915t_char,member140606439t_char)),produc1909267824t_char))),U_5172))) ),
    inference(clausify,[status(thm)],[f_951_3]) ).

cnf(f_951_5,plain,
    ( hBOOL(hAPP_f1889282162l_bool(ord_le1449176264r_bool(hAPP_f2071340985r_bool(hAPP_f133320957r_bool(cOMBC_1127703214r_bool,hAPP_f1608277885r_bool(hAPP_f1134248971r_bool(cOMBB_338473166ist_ty,cOMBC_1365742487l_bool),hAPP_f2047757465l_bool(hAPP_f466945179l_bool(cOMBB_68065882ist_ty,hAPP_f693085049l_bool(cOMBB_147773915t_char,member140606439t_char)),produc1909267824t_char))),U_5175)),hAPP_f2071340985r_bool(hAPP_f133320957r_bool(cOMBC_1127703214r_bool,hAPP_f1608277885r_bool(hAPP_f1134248971r_bool(cOMBB_338473166ist_ty,cOMBC_1365742487l_bool),hAPP_f2047757465l_bool(hAPP_f466945179l_bool(cOMBB_68065882ist_ty,hAPP_f693085049l_bool(cOMBB_147773915t_char,member140606439t_char)),produc1909267824t_char))),U_5173)))
    | ~ hBOOL(hAPP_f1746574980l_bool(ord_le1218729222r_bool(U_5175),U_5173)) ),
    inference(clausify,[status(thm)],[f_951_3]) ).

fof(f_952_1,plain,
    ! [R_2,S_4] :
      ( ( hBOOL(hAPP_f998390560l_bool(ord_le817953186r_bool(hAPP_f1044627221r_bool(hAPP_f308875635r_bool(cOMBC_1718404842r_bool,hAPP_f531187933r_bool(hAPP_f179418505r_bool(cOMBB_550632017t_char,cOMBC_407285762l_bool),hAPP_f1136362289l_bool(hAPP_f1736484361l_bool(cOMBB_2042763133t_char,hAPP_f1715733055l_bool(cOMBB_123628846t_char,member133545693t_char)),produc921874948t_char))),R_2)),hAPP_f1044627221r_bool(hAPP_f308875635r_bool(cOMBC_1718404842r_bool,hAPP_f531187933r_bool(hAPP_f179418505r_bool(cOMBB_550632017t_char,cOMBC_407285762l_bool),hAPP_f1136362289l_bool(hAPP_f1736484361l_bool(cOMBB_2042763133t_char,hAPP_f1715733055l_bool(cOMBB_123628846t_char,member133545693t_char)),produc921874948t_char))),S_4)))
        | ~ hBOOL(hAPP_f1780084320l_bool(ord_le1579844278r_bool(R_2),S_4)) )
      & ( hBOOL(hAPP_f1780084320l_bool(ord_le1579844278r_bool(R_2),S_4))
        | ~ hBOOL(hAPP_f998390560l_bool(ord_le817953186r_bool(hAPP_f1044627221r_bool(hAPP_f308875635r_bool(cOMBC_1718404842r_bool,hAPP_f531187933r_bool(hAPP_f179418505r_bool(cOMBB_550632017t_char,cOMBC_407285762l_bool),hAPP_f1136362289l_bool(hAPP_f1736484361l_bool(cOMBB_2042763133t_char,hAPP_f1715733055l_bool(cOMBB_123628846t_char,member133545693t_char)),produc921874948t_char))),R_2)),hAPP_f1044627221r_bool(hAPP_f308875635r_bool(cOMBC_1718404842r_bool,hAPP_f531187933r_bool(hAPP_f179418505r_bool(cOMBB_550632017t_char,cOMBC_407285762l_bool),hAPP_f1136362289l_bool(hAPP_f1736484361l_bool(cOMBB_2042763133t_char,hAPP_f1715733055l_bool(cOMBB_123628846t_char,member133545693t_char)),produc921874948t_char))),S_4))) ) ),
    inference(fof_nnf,[status(thm)],[fact_810_pred__subset__eq2]) ).

fof(f_952_2,plain,
    ! [U_5177,U_5176] :
      ( ( hBOOL(hAPP_f998390560l_bool(ord_le817953186r_bool(hAPP_f1044627221r_bool(hAPP_f308875635r_bool(cOMBC_1718404842r_bool,hAPP_f531187933r_bool(hAPP_f179418505r_bool(cOMBB_550632017t_char,cOMBC_407285762l_bool),hAPP_f1136362289l_bool(hAPP_f1736484361l_bool(cOMBB_2042763133t_char,hAPP_f1715733055l_bool(cOMBB_123628846t_char,member133545693t_char)),produc921874948t_char))),U_5177)),hAPP_f1044627221r_bool(hAPP_f308875635r_bool(cOMBC_1718404842r_bool,hAPP_f531187933r_bool(hAPP_f179418505r_bool(cOMBB_550632017t_char,cOMBC_407285762l_bool),hAPP_f1136362289l_bool(hAPP_f1736484361l_bool(cOMBB_2042763133t_char,hAPP_f1715733055l_bool(cOMBB_123628846t_char,member133545693t_char)),produc921874948t_char))),U_5176)))
        | ~ hBOOL(hAPP_f1780084320l_bool(ord_le1579844278r_bool(U_5177),U_5176)) )
      & ( hBOOL(hAPP_f1780084320l_bool(ord_le1579844278r_bool(U_5177),U_5176))
        | ~ hBOOL(hAPP_f998390560l_bool(ord_le817953186r_bool(hAPP_f1044627221r_bool(hAPP_f308875635r_bool(cOMBC_1718404842r_bool,hAPP_f531187933r_bool(hAPP_f179418505r_bool(cOMBB_550632017t_char,cOMBC_407285762l_bool),hAPP_f1136362289l_bool(hAPP_f1736484361l_bool(cOMBB_2042763133t_char,hAPP_f1715733055l_bool(cOMBB_123628846t_char,member133545693t_char)),produc921874948t_char))),U_5177)),hAPP_f1044627221r_bool(hAPP_f308875635r_bool(cOMBC_1718404842r_bool,hAPP_f531187933r_bool(hAPP_f179418505r_bool(cOMBB_550632017t_char,cOMBC_407285762l_bool),hAPP_f1136362289l_bool(hAPP_f1736484361l_bool(cOMBB_2042763133t_char,hAPP_f1715733055l_bool(cOMBB_123628846t_char,member133545693t_char)),produc921874948t_char))),U_5176))) ) ),
    inference(variable_rename,[status(thm)],[f_952_1]) ).

fof(f_952_3,plain,
    ( ! [U_5181,U_5179] :
        ( hBOOL(hAPP_f998390560l_bool(ord_le817953186r_bool(hAPP_f1044627221r_bool(hAPP_f308875635r_bool(cOMBC_1718404842r_bool,hAPP_f531187933r_bool(hAPP_f179418505r_bool(cOMBB_550632017t_char,cOMBC_407285762l_bool),hAPP_f1136362289l_bool(hAPP_f1736484361l_bool(cOMBB_2042763133t_char,hAPP_f1715733055l_bool(cOMBB_123628846t_char,member133545693t_char)),produc921874948t_char))),U_5181)),hAPP_f1044627221r_bool(hAPP_f308875635r_bool(cOMBC_1718404842r_bool,hAPP_f531187933r_bool(hAPP_f179418505r_bool(cOMBB_550632017t_char,cOMBC_407285762l_bool),hAPP_f1136362289l_bool(hAPP_f1736484361l_bool(cOMBB_2042763133t_char,hAPP_f1715733055l_bool(cOMBB_123628846t_char,member133545693t_char)),produc921874948t_char))),U_5179)))
        | ~ hBOOL(hAPP_f1780084320l_bool(ord_le1579844278r_bool(U_5181),U_5179)) )
    & ! [U_5180,U_5178] :
        ( hBOOL(hAPP_f1780084320l_bool(ord_le1579844278r_bool(U_5180),U_5178))
        | ~ hBOOL(hAPP_f998390560l_bool(ord_le817953186r_bool(hAPP_f1044627221r_bool(hAPP_f308875635r_bool(cOMBC_1718404842r_bool,hAPP_f531187933r_bool(hAPP_f179418505r_bool(cOMBB_550632017t_char,cOMBC_407285762l_bool),hAPP_f1136362289l_bool(hAPP_f1736484361l_bool(cOMBB_2042763133t_char,hAPP_f1715733055l_bool(cOMBB_123628846t_char,member133545693t_char)),produc921874948t_char))),U_5180)),hAPP_f1044627221r_bool(hAPP_f308875635r_bool(cOMBC_1718404842r_bool,hAPP_f531187933r_bool(hAPP_f179418505r_bool(cOMBB_550632017t_char,cOMBC_407285762l_bool),hAPP_f1136362289l_bool(hAPP_f1736484361l_bool(cOMBB_2042763133t_char,hAPP_f1715733055l_bool(cOMBB_123628846t_char,member133545693t_char)),produc921874948t_char))),U_5178))) ) ),
    inference(miniscope,[status(thm)],[f_952_2]) ).

cnf(f_952_4,plain,
    ( hBOOL(hAPP_f1780084320l_bool(ord_le1579844278r_bool(U_5180),U_5178))
    | ~ hBOOL(hAPP_f998390560l_bool(ord_le817953186r_bool(hAPP_f1044627221r_bool(hAPP_f308875635r_bool(cOMBC_1718404842r_bool,hAPP_f531187933r_bool(hAPP_f179418505r_bool(cOMBB_550632017t_char,cOMBC_407285762l_bool),hAPP_f1136362289l_bool(hAPP_f1736484361l_bool(cOMBB_2042763133t_char,hAPP_f1715733055l_bool(cOMBB_123628846t_char,member133545693t_char)),produc921874948t_char))),U_5180)),hAPP_f1044627221r_bool(hAPP_f308875635r_bool(cOMBC_1718404842r_bool,hAPP_f531187933r_bool(hAPP_f179418505r_bool(cOMBB_550632017t_char,cOMBC_407285762l_bool),hAPP_f1136362289l_bool(hAPP_f1736484361l_bool(cOMBB_2042763133t_char,hAPP_f1715733055l_bool(cOMBB_123628846t_char,member133545693t_char)),produc921874948t_char))),U_5178))) ),
    inference(clausify,[status(thm)],[f_952_3]) ).

cnf(f_952_5,plain,
    ( hBOOL(hAPP_f998390560l_bool(ord_le817953186r_bool(hAPP_f1044627221r_bool(hAPP_f308875635r_bool(cOMBC_1718404842r_bool,hAPP_f531187933r_bool(hAPP_f179418505r_bool(cOMBB_550632017t_char,cOMBC_407285762l_bool),hAPP_f1136362289l_bool(hAPP_f1736484361l_bool(cOMBB_2042763133t_char,hAPP_f1715733055l_bool(cOMBB_123628846t_char,member133545693t_char)),produc921874948t_char))),U_5181)),hAPP_f1044627221r_bool(hAPP_f308875635r_bool(cOMBC_1718404842r_bool,hAPP_f531187933r_bool(hAPP_f179418505r_bool(cOMBB_550632017t_char,cOMBC_407285762l_bool),hAPP_f1136362289l_bool(hAPP_f1736484361l_bool(cOMBB_2042763133t_char,hAPP_f1715733055l_bool(cOMBB_123628846t_char,member133545693t_char)),produc921874948t_char))),U_5179)))
    | ~ hBOOL(hAPP_f1780084320l_bool(ord_le1579844278r_bool(U_5181),U_5179)) ),
    inference(clausify,[status(thm)],[f_952_3]) ).

fof(f_953_1,plain,
    ! [R_2,S_4] :
      ( ( hBOOL(hAPP_f2041029616l_bool(ord_le285175110l_bool(hAPP_f844901525l_bool(hAPP_f348508809l_bool(cOMBC_622308798l_bool,hAPP_f1149562121l_bool(hAPP_f1850037271l_bool(cOMBB_773375802t_char,cOMBC_2141828763l_bool),hAPP_f1752856401l_bool(hAPP_f552300311l_bool(cOMBB_1270208498t_char,hAPP_f1564338425l_bool(cOMBB_1078680455on_val,member1972431429on_val)),produc379668296on_val))),R_2)),hAPP_f844901525l_bool(hAPP_f348508809l_bool(cOMBC_622308798l_bool,hAPP_f1149562121l_bool(hAPP_f1850037271l_bool(cOMBB_773375802t_char,cOMBC_2141828763l_bool),hAPP_f1752856401l_bool(hAPP_f552300311l_bool(cOMBB_1270208498t_char,hAPP_f1564338425l_bool(cOMBB_1078680455on_val,member1972431429on_val)),produc379668296on_val))),S_4)))
        | ~ hBOOL(hAPP_f837795298l_bool(ord_le1461833060l_bool(R_2),S_4)) )
      & ( hBOOL(hAPP_f837795298l_bool(ord_le1461833060l_bool(R_2),S_4))
        | ~ hBOOL(hAPP_f2041029616l_bool(ord_le285175110l_bool(hAPP_f844901525l_bool(hAPP_f348508809l_bool(cOMBC_622308798l_bool,hAPP_f1149562121l_bool(hAPP_f1850037271l_bool(cOMBB_773375802t_char,cOMBC_2141828763l_bool),hAPP_f1752856401l_bool(hAPP_f552300311l_bool(cOMBB_1270208498t_char,hAPP_f1564338425l_bool(cOMBB_1078680455on_val,member1972431429on_val)),produc379668296on_val))),R_2)),hAPP_f844901525l_bool(hAPP_f348508809l_bool(cOMBC_622308798l_bool,hAPP_f1149562121l_bool(hAPP_f1850037271l_bool(cOMBB_773375802t_char,cOMBC_2141828763l_bool),hAPP_f1752856401l_bool(hAPP_f552300311l_bool(cOMBB_1270208498t_char,hAPP_f1564338425l_bool(cOMBB_1078680455on_val,member1972431429on_val)),produc379668296on_val))),S_4))) ) ),
    inference(fof_nnf,[status(thm)],[fact_811_pred__subset__eq2]) ).

fof(f_953_2,plain,
    ! [U_5183,U_5182] :
      ( ( hBOOL(hAPP_f2041029616l_bool(ord_le285175110l_bool(hAPP_f844901525l_bool(hAPP_f348508809l_bool(cOMBC_622308798l_bool,hAPP_f1149562121l_bool(hAPP_f1850037271l_bool(cOMBB_773375802t_char,cOMBC_2141828763l_bool),hAPP_f1752856401l_bool(hAPP_f552300311l_bool(cOMBB_1270208498t_char,hAPP_f1564338425l_bool(cOMBB_1078680455on_val,member1972431429on_val)),produc379668296on_val))),U_5183)),hAPP_f844901525l_bool(hAPP_f348508809l_bool(cOMBC_622308798l_bool,hAPP_f1149562121l_bool(hAPP_f1850037271l_bool(cOMBB_773375802t_char,cOMBC_2141828763l_bool),hAPP_f1752856401l_bool(hAPP_f552300311l_bool(cOMBB_1270208498t_char,hAPP_f1564338425l_bool(cOMBB_1078680455on_val,member1972431429on_val)),produc379668296on_val))),U_5182)))
        | ~ hBOOL(hAPP_f837795298l_bool(ord_le1461833060l_bool(U_5183),U_5182)) )
      & ( hBOOL(hAPP_f837795298l_bool(ord_le1461833060l_bool(U_5183),U_5182))
        | ~ hBOOL(hAPP_f2041029616l_bool(ord_le285175110l_bool(hAPP_f844901525l_bool(hAPP_f348508809l_bool(cOMBC_622308798l_bool,hAPP_f1149562121l_bool(hAPP_f1850037271l_bool(cOMBB_773375802t_char,cOMBC_2141828763l_bool),hAPP_f1752856401l_bool(hAPP_f552300311l_bool(cOMBB_1270208498t_char,hAPP_f1564338425l_bool(cOMBB_1078680455on_val,member1972431429on_val)),produc379668296on_val))),U_5183)),hAPP_f844901525l_bool(hAPP_f348508809l_bool(cOMBC_622308798l_bool,hAPP_f1149562121l_bool(hAPP_f1850037271l_bool(cOMBB_773375802t_char,cOMBC_2141828763l_bool),hAPP_f1752856401l_bool(hAPP_f552300311l_bool(cOMBB_1270208498t_char,hAPP_f1564338425l_bool(cOMBB_1078680455on_val,member1972431429on_val)),produc379668296on_val))),U_5182))) ) ),
    inference(variable_rename,[status(thm)],[f_953_1]) ).

fof(f_953_3,plain,
    ( ! [U_5187,U_5185] :
        ( hBOOL(hAPP_f2041029616l_bool(ord_le285175110l_bool(hAPP_f844901525l_bool(hAPP_f348508809l_bool(cOMBC_622308798l_bool,hAPP_f1149562121l_bool(hAPP_f1850037271l_bool(cOMBB_773375802t_char,cOMBC_2141828763l_bool),hAPP_f1752856401l_bool(hAPP_f552300311l_bool(cOMBB_1270208498t_char,hAPP_f1564338425l_bool(cOMBB_1078680455on_val,member1972431429on_val)),produc379668296on_val))),U_5187)),hAPP_f844901525l_bool(hAPP_f348508809l_bool(cOMBC_622308798l_bool,hAPP_f1149562121l_bool(hAPP_f1850037271l_bool(cOMBB_773375802t_char,cOMBC_2141828763l_bool),hAPP_f1752856401l_bool(hAPP_f552300311l_bool(cOMBB_1270208498t_char,hAPP_f1564338425l_bool(cOMBB_1078680455on_val,member1972431429on_val)),produc379668296on_val))),U_5185)))
        | ~ hBOOL(hAPP_f837795298l_bool(ord_le1461833060l_bool(U_5187),U_5185)) )
    & ! [U_5186,U_5184] :
        ( hBOOL(hAPP_f837795298l_bool(ord_le1461833060l_bool(U_5186),U_5184))
        | ~ hBOOL(hAPP_f2041029616l_bool(ord_le285175110l_bool(hAPP_f844901525l_bool(hAPP_f348508809l_bool(cOMBC_622308798l_bool,hAPP_f1149562121l_bool(hAPP_f1850037271l_bool(cOMBB_773375802t_char,cOMBC_2141828763l_bool),hAPP_f1752856401l_bool(hAPP_f552300311l_bool(cOMBB_1270208498t_char,hAPP_f1564338425l_bool(cOMBB_1078680455on_val,member1972431429on_val)),produc379668296on_val))),U_5186)),hAPP_f844901525l_bool(hAPP_f348508809l_bool(cOMBC_622308798l_bool,hAPP_f1149562121l_bool(hAPP_f1850037271l_bool(cOMBB_773375802t_char,cOMBC_2141828763l_bool),hAPP_f1752856401l_bool(hAPP_f552300311l_bool(cOMBB_1270208498t_char,hAPP_f1564338425l_bool(cOMBB_1078680455on_val,member1972431429on_val)),produc379668296on_val))),U_5184))) ) ),
    inference(miniscope,[status(thm)],[f_953_2]) ).

cnf(f_953_4,plain,
    ( hBOOL(hAPP_f837795298l_bool(ord_le1461833060l_bool(U_5186),U_5184))
    | ~ hBOOL(hAPP_f2041029616l_bool(ord_le285175110l_bool(hAPP_f844901525l_bool(hAPP_f348508809l_bool(cOMBC_622308798l_bool,hAPP_f1149562121l_bool(hAPP_f1850037271l_bool(cOMBB_773375802t_char,cOMBC_2141828763l_bool),hAPP_f1752856401l_bool(hAPP_f552300311l_bool(cOMBB_1270208498t_char,hAPP_f1564338425l_bool(cOMBB_1078680455on_val,member1972431429on_val)),produc379668296on_val))),U_5186)),hAPP_f844901525l_bool(hAPP_f348508809l_bool(cOMBC_622308798l_bool,hAPP_f1149562121l_bool(hAPP_f1850037271l_bool(cOMBB_773375802t_char,cOMBC_2141828763l_bool),hAPP_f1752856401l_bool(hAPP_f552300311l_bool(cOMBB_1270208498t_char,hAPP_f1564338425l_bool(cOMBB_1078680455on_val,member1972431429on_val)),produc379668296on_val))),U_5184))) ),
    inference(clausify,[status(thm)],[f_953_3]) ).

cnf(f_953_5,plain,
    ( hBOOL(hAPP_f2041029616l_bool(ord_le285175110l_bool(hAPP_f844901525l_bool(hAPP_f348508809l_bool(cOMBC_622308798l_bool,hAPP_f1149562121l_bool(hAPP_f1850037271l_bool(cOMBB_773375802t_char,cOMBC_2141828763l_bool),hAPP_f1752856401l_bool(hAPP_f552300311l_bool(cOMBB_1270208498t_char,hAPP_f1564338425l_bool(cOMBB_1078680455on_val,member1972431429on_val)),produc379668296on_val))),U_5187)),hAPP_f844901525l_bool(hAPP_f348508809l_bool(cOMBC_622308798l_bool,hAPP_f1149562121l_bool(hAPP_f1850037271l_bool(cOMBB_773375802t_char,cOMBC_2141828763l_bool),hAPP_f1752856401l_bool(hAPP_f552300311l_bool(cOMBB_1270208498t_char,hAPP_f1564338425l_bool(cOMBB_1078680455on_val,member1972431429on_val)),produc379668296on_val))),U_5185)))
    | ~ hBOOL(hAPP_f837795298l_bool(ord_le1461833060l_bool(U_5187),U_5185)) ),
    inference(clausify,[status(thm)],[f_953_3]) ).

fof(f_954_1,plain,
    ! [R_2,S_4] :
      ( ( hBOOL(hAPP_f2071159779l_bool(ord_le408082617l_bool(hAPP_f198821591l_bool(hAPP_f1880802701l_bool(cOMBC_1979963740l_bool,hAPP_f1859053709l_bool(hAPP_f400269243l_bool(cOMBB_1701031980ol_val,cOMBC_331963401l_bool),hAPP_f293485653l_bool(hAPP_f565735867l_bool(cOMBB_815843940ol_val,hAPP_f183649339l_bool(cOMBB_2078984970ol_val,member649088532al_val)),product_Pair_val_val))),R_2)),hAPP_f198821591l_bool(hAPP_f1880802701l_bool(cOMBC_1979963740l_bool,hAPP_f1859053709l_bool(hAPP_f400269243l_bool(cOMBB_1701031980ol_val,cOMBC_331963401l_bool),hAPP_f293485653l_bool(hAPP_f565735867l_bool(cOMBB_815843940ol_val,hAPP_f183649339l_bool(cOMBB_2078984970ol_val,member649088532al_val)),product_Pair_val_val))),S_4)))
        | ~ hBOOL(hAPP_f2028441009l_bool(ord_le310098611l_bool(R_2),S_4)) )
      & ( hBOOL(hAPP_f2028441009l_bool(ord_le310098611l_bool(R_2),S_4))
        | ~ hBOOL(hAPP_f2071159779l_bool(ord_le408082617l_bool(hAPP_f198821591l_bool(hAPP_f1880802701l_bool(cOMBC_1979963740l_bool,hAPP_f1859053709l_bool(hAPP_f400269243l_bool(cOMBB_1701031980ol_val,cOMBC_331963401l_bool),hAPP_f293485653l_bool(hAPP_f565735867l_bool(cOMBB_815843940ol_val,hAPP_f183649339l_bool(cOMBB_2078984970ol_val,member649088532al_val)),product_Pair_val_val))),R_2)),hAPP_f198821591l_bool(hAPP_f1880802701l_bool(cOMBC_1979963740l_bool,hAPP_f1859053709l_bool(hAPP_f400269243l_bool(cOMBB_1701031980ol_val,cOMBC_331963401l_bool),hAPP_f293485653l_bool(hAPP_f565735867l_bool(cOMBB_815843940ol_val,hAPP_f183649339l_bool(cOMBB_2078984970ol_val,member649088532al_val)),product_Pair_val_val))),S_4))) ) ),
    inference(fof_nnf,[status(thm)],[fact_812_pred__subset__eq2]) ).

fof(f_954_2,plain,
    ! [U_5189,U_5188] :
      ( ( hBOOL(hAPP_f2071159779l_bool(ord_le408082617l_bool(hAPP_f198821591l_bool(hAPP_f1880802701l_bool(cOMBC_1979963740l_bool,hAPP_f1859053709l_bool(hAPP_f400269243l_bool(cOMBB_1701031980ol_val,cOMBC_331963401l_bool),hAPP_f293485653l_bool(hAPP_f565735867l_bool(cOMBB_815843940ol_val,hAPP_f183649339l_bool(cOMBB_2078984970ol_val,member649088532al_val)),product_Pair_val_val))),U_5189)),hAPP_f198821591l_bool(hAPP_f1880802701l_bool(cOMBC_1979963740l_bool,hAPP_f1859053709l_bool(hAPP_f400269243l_bool(cOMBB_1701031980ol_val,cOMBC_331963401l_bool),hAPP_f293485653l_bool(hAPP_f565735867l_bool(cOMBB_815843940ol_val,hAPP_f183649339l_bool(cOMBB_2078984970ol_val,member649088532al_val)),product_Pair_val_val))),U_5188)))
        | ~ hBOOL(hAPP_f2028441009l_bool(ord_le310098611l_bool(U_5189),U_5188)) )
      & ( hBOOL(hAPP_f2028441009l_bool(ord_le310098611l_bool(U_5189),U_5188))
        | ~ hBOOL(hAPP_f2071159779l_bool(ord_le408082617l_bool(hAPP_f198821591l_bool(hAPP_f1880802701l_bool(cOMBC_1979963740l_bool,hAPP_f1859053709l_bool(hAPP_f400269243l_bool(cOMBB_1701031980ol_val,cOMBC_331963401l_bool),hAPP_f293485653l_bool(hAPP_f565735867l_bool(cOMBB_815843940ol_val,hAPP_f183649339l_bool(cOMBB_2078984970ol_val,member649088532al_val)),product_Pair_val_val))),U_5189)),hAPP_f198821591l_bool(hAPP_f1880802701l_bool(cOMBC_1979963740l_bool,hAPP_f1859053709l_bool(hAPP_f400269243l_bool(cOMBB_1701031980ol_val,cOMBC_331963401l_bool),hAPP_f293485653l_bool(hAPP_f565735867l_bool(cOMBB_815843940ol_val,hAPP_f183649339l_bool(cOMBB_2078984970ol_val,member649088532al_val)),product_Pair_val_val))),U_5188))) ) ),
    inference(variable_rename,[status(thm)],[f_954_1]) ).

fof(f_954_3,plain,
    ( ! [U_5193,U_5191] :
        ( hBOOL(hAPP_f2071159779l_bool(ord_le408082617l_bool(hAPP_f198821591l_bool(hAPP_f1880802701l_bool(cOMBC_1979963740l_bool,hAPP_f1859053709l_bool(hAPP_f400269243l_bool(cOMBB_1701031980ol_val,cOMBC_331963401l_bool),hAPP_f293485653l_bool(hAPP_f565735867l_bool(cOMBB_815843940ol_val,hAPP_f183649339l_bool(cOMBB_2078984970ol_val,member649088532al_val)),product_Pair_val_val))),U_5193)),hAPP_f198821591l_bool(hAPP_f1880802701l_bool(cOMBC_1979963740l_bool,hAPP_f1859053709l_bool(hAPP_f400269243l_bool(cOMBB_1701031980ol_val,cOMBC_331963401l_bool),hAPP_f293485653l_bool(hAPP_f565735867l_bool(cOMBB_815843940ol_val,hAPP_f183649339l_bool(cOMBB_2078984970ol_val,member649088532al_val)),product_Pair_val_val))),U_5191)))
        | ~ hBOOL(hAPP_f2028441009l_bool(ord_le310098611l_bool(U_5193),U_5191)) )
    & ! [U_5192,U_5190] :
        ( hBOOL(hAPP_f2028441009l_bool(ord_le310098611l_bool(U_5192),U_5190))
        | ~ hBOOL(hAPP_f2071159779l_bool(ord_le408082617l_bool(hAPP_f198821591l_bool(hAPP_f1880802701l_bool(cOMBC_1979963740l_bool,hAPP_f1859053709l_bool(hAPP_f400269243l_bool(cOMBB_1701031980ol_val,cOMBC_331963401l_bool),hAPP_f293485653l_bool(hAPP_f565735867l_bool(cOMBB_815843940ol_val,hAPP_f183649339l_bool(cOMBB_2078984970ol_val,member649088532al_val)),product_Pair_val_val))),U_5192)),hAPP_f198821591l_bool(hAPP_f1880802701l_bool(cOMBC_1979963740l_bool,hAPP_f1859053709l_bool(hAPP_f400269243l_bool(cOMBB_1701031980ol_val,cOMBC_331963401l_bool),hAPP_f293485653l_bool(hAPP_f565735867l_bool(cOMBB_815843940ol_val,hAPP_f183649339l_bool(cOMBB_2078984970ol_val,member649088532al_val)),product_Pair_val_val))),U_5190))) ) ),
    inference(miniscope,[status(thm)],[f_954_2]) ).

cnf(f_954_4,plain,
    ( hBOOL(hAPP_f2028441009l_bool(ord_le310098611l_bool(U_5192),U_5190))
    | ~ hBOOL(hAPP_f2071159779l_bool(ord_le408082617l_bool(hAPP_f198821591l_bool(hAPP_f1880802701l_bool(cOMBC_1979963740l_bool,hAPP_f1859053709l_bool(hAPP_f400269243l_bool(cOMBB_1701031980ol_val,cOMBC_331963401l_bool),hAPP_f293485653l_bool(hAPP_f565735867l_bool(cOMBB_815843940ol_val,hAPP_f183649339l_bool(cOMBB_2078984970ol_val,member649088532al_val)),product_Pair_val_val))),U_5192)),hAPP_f198821591l_bool(hAPP_f1880802701l_bool(cOMBC_1979963740l_bool,hAPP_f1859053709l_bool(hAPP_f400269243l_bool(cOMBB_1701031980ol_val,cOMBC_331963401l_bool),hAPP_f293485653l_bool(hAPP_f565735867l_bool(cOMBB_815843940ol_val,hAPP_f183649339l_bool(cOMBB_2078984970ol_val,member649088532al_val)),product_Pair_val_val))),U_5190))) ),
    inference(clausify,[status(thm)],[f_954_3]) ).

cnf(f_954_5,plain,
    ( hBOOL(hAPP_f2071159779l_bool(ord_le408082617l_bool(hAPP_f198821591l_bool(hAPP_f1880802701l_bool(cOMBC_1979963740l_bool,hAPP_f1859053709l_bool(hAPP_f400269243l_bool(cOMBB_1701031980ol_val,cOMBC_331963401l_bool),hAPP_f293485653l_bool(hAPP_f565735867l_bool(cOMBB_815843940ol_val,hAPP_f183649339l_bool(cOMBB_2078984970ol_val,member649088532al_val)),product_Pair_val_val))),U_5193)),hAPP_f198821591l_bool(hAPP_f1880802701l_bool(cOMBC_1979963740l_bool,hAPP_f1859053709l_bool(hAPP_f400269243l_bool(cOMBB_1701031980ol_val,cOMBC_331963401l_bool),hAPP_f293485653l_bool(hAPP_f565735867l_bool(cOMBB_815843940ol_val,hAPP_f183649339l_bool(cOMBB_2078984970ol_val,member649088532al_val)),product_Pair_val_val))),U_5191)))
    | ~ hBOOL(hAPP_f2028441009l_bool(ord_le310098611l_bool(U_5193),U_5191)) ),
    inference(clausify,[status(thm)],[f_954_3]) ).

fof(f_955_1,plain,
    ! [R_2,S_4] :
      ( ( hBOOL(hAPP_f1776070952l_bool(ord_le1725884030l_bool(hAPP_f257113085l_bool(hAPP_f1100052969l_bool(cOMBC_199425070l_bool,hAPP_f2100207721l_bool(hAPP_f1374595987l_bool(cOMBB_761748254ol_bop,cOMBC_813705475l_bool),hAPP_f866074145l_bool(hAPP_f877616419l_bool(cOMBB_1458388806ol_bop,hAPP_f62511709l_bool(cOMBB_2139740953al_val,member1417904245al_val)),produc621191550al_val))),R_2)),hAPP_f257113085l_bool(hAPP_f1100052969l_bool(cOMBC_199425070l_bool,hAPP_f2100207721l_bool(hAPP_f1374595987l_bool(cOMBB_761748254ol_bop,cOMBC_813705475l_bool),hAPP_f866074145l_bool(hAPP_f877616419l_bool(cOMBB_1458388806ol_bop,hAPP_f62511709l_bool(cOMBB_2139740953al_val,member1417904245al_val)),produc621191550al_val))),S_4)))
        | ~ hBOOL(hAPP_f742333458l_bool(ord_le1467847572l_bool(R_2),S_4)) )
      & ( hBOOL(hAPP_f742333458l_bool(ord_le1467847572l_bool(R_2),S_4))
        | ~ hBOOL(hAPP_f1776070952l_bool(ord_le1725884030l_bool(hAPP_f257113085l_bool(hAPP_f1100052969l_bool(cOMBC_199425070l_bool,hAPP_f2100207721l_bool(hAPP_f1374595987l_bool(cOMBB_761748254ol_bop,cOMBC_813705475l_bool),hAPP_f866074145l_bool(hAPP_f877616419l_bool(cOMBB_1458388806ol_bop,hAPP_f62511709l_bool(cOMBB_2139740953al_val,member1417904245al_val)),produc621191550al_val))),R_2)),hAPP_f257113085l_bool(hAPP_f1100052969l_bool(cOMBC_199425070l_bool,hAPP_f2100207721l_bool(hAPP_f1374595987l_bool(cOMBB_761748254ol_bop,cOMBC_813705475l_bool),hAPP_f866074145l_bool(hAPP_f877616419l_bool(cOMBB_1458388806ol_bop,hAPP_f62511709l_bool(cOMBB_2139740953al_val,member1417904245al_val)),produc621191550al_val))),S_4))) ) ),
    inference(fof_nnf,[status(thm)],[fact_813_pred__subset__eq2]) ).

fof(f_955_2,plain,
    ! [U_5195,U_5194] :
      ( ( hBOOL(hAPP_f1776070952l_bool(ord_le1725884030l_bool(hAPP_f257113085l_bool(hAPP_f1100052969l_bool(cOMBC_199425070l_bool,hAPP_f2100207721l_bool(hAPP_f1374595987l_bool(cOMBB_761748254ol_bop,cOMBC_813705475l_bool),hAPP_f866074145l_bool(hAPP_f877616419l_bool(cOMBB_1458388806ol_bop,hAPP_f62511709l_bool(cOMBB_2139740953al_val,member1417904245al_val)),produc621191550al_val))),U_5195)),hAPP_f257113085l_bool(hAPP_f1100052969l_bool(cOMBC_199425070l_bool,hAPP_f2100207721l_bool(hAPP_f1374595987l_bool(cOMBB_761748254ol_bop,cOMBC_813705475l_bool),hAPP_f866074145l_bool(hAPP_f877616419l_bool(cOMBB_1458388806ol_bop,hAPP_f62511709l_bool(cOMBB_2139740953al_val,member1417904245al_val)),produc621191550al_val))),U_5194)))
        | ~ hBOOL(hAPP_f742333458l_bool(ord_le1467847572l_bool(U_5195),U_5194)) )
      & ( hBOOL(hAPP_f742333458l_bool(ord_le1467847572l_bool(U_5195),U_5194))
        | ~ hBOOL(hAPP_f1776070952l_bool(ord_le1725884030l_bool(hAPP_f257113085l_bool(hAPP_f1100052969l_bool(cOMBC_199425070l_bool,hAPP_f2100207721l_bool(hAPP_f1374595987l_bool(cOMBB_761748254ol_bop,cOMBC_813705475l_bool),hAPP_f866074145l_bool(hAPP_f877616419l_bool(cOMBB_1458388806ol_bop,hAPP_f62511709l_bool(cOMBB_2139740953al_val,member1417904245al_val)),produc621191550al_val))),U_5195)),hAPP_f257113085l_bool(hAPP_f1100052969l_bool(cOMBC_199425070l_bool,hAPP_f2100207721l_bool(hAPP_f1374595987l_bool(cOMBB_761748254ol_bop,cOMBC_813705475l_bool),hAPP_f866074145l_bool(hAPP_f877616419l_bool(cOMBB_1458388806ol_bop,hAPP_f62511709l_bool(cOMBB_2139740953al_val,member1417904245al_val)),produc621191550al_val))),U_5194))) ) ),
    inference(variable_rename,[status(thm)],[f_955_1]) ).

fof(f_955_3,plain,
    ( ! [U_5199,U_5197] :
        ( hBOOL(hAPP_f1776070952l_bool(ord_le1725884030l_bool(hAPP_f257113085l_bool(hAPP_f1100052969l_bool(cOMBC_199425070l_bool,hAPP_f2100207721l_bool(hAPP_f1374595987l_bool(cOMBB_761748254ol_bop,cOMBC_813705475l_bool),hAPP_f866074145l_bool(hAPP_f877616419l_bool(cOMBB_1458388806ol_bop,hAPP_f62511709l_bool(cOMBB_2139740953al_val,member1417904245al_val)),produc621191550al_val))),U_5199)),hAPP_f257113085l_bool(hAPP_f1100052969l_bool(cOMBC_199425070l_bool,hAPP_f2100207721l_bool(hAPP_f1374595987l_bool(cOMBB_761748254ol_bop,cOMBC_813705475l_bool),hAPP_f866074145l_bool(hAPP_f877616419l_bool(cOMBB_1458388806ol_bop,hAPP_f62511709l_bool(cOMBB_2139740953al_val,member1417904245al_val)),produc621191550al_val))),U_5197)))
        | ~ hBOOL(hAPP_f742333458l_bool(ord_le1467847572l_bool(U_5199),U_5197)) )
    & ! [U_5198,U_5196] :
        ( hBOOL(hAPP_f742333458l_bool(ord_le1467847572l_bool(U_5198),U_5196))
        | ~ hBOOL(hAPP_f1776070952l_bool(ord_le1725884030l_bool(hAPP_f257113085l_bool(hAPP_f1100052969l_bool(cOMBC_199425070l_bool,hAPP_f2100207721l_bool(hAPP_f1374595987l_bool(cOMBB_761748254ol_bop,cOMBC_813705475l_bool),hAPP_f866074145l_bool(hAPP_f877616419l_bool(cOMBB_1458388806ol_bop,hAPP_f62511709l_bool(cOMBB_2139740953al_val,member1417904245al_val)),produc621191550al_val))),U_5198)),hAPP_f257113085l_bool(hAPP_f1100052969l_bool(cOMBC_199425070l_bool,hAPP_f2100207721l_bool(hAPP_f1374595987l_bool(cOMBB_761748254ol_bop,cOMBC_813705475l_bool),hAPP_f866074145l_bool(hAPP_f877616419l_bool(cOMBB_1458388806ol_bop,hAPP_f62511709l_bool(cOMBB_2139740953al_val,member1417904245al_val)),produc621191550al_val))),U_5196))) ) ),
    inference(miniscope,[status(thm)],[f_955_2]) ).

cnf(f_955_4,plain,
    ( hBOOL(hAPP_f742333458l_bool(ord_le1467847572l_bool(U_5198),U_5196))
    | ~ hBOOL(hAPP_f1776070952l_bool(ord_le1725884030l_bool(hAPP_f257113085l_bool(hAPP_f1100052969l_bool(cOMBC_199425070l_bool,hAPP_f2100207721l_bool(hAPP_f1374595987l_bool(cOMBB_761748254ol_bop,cOMBC_813705475l_bool),hAPP_f866074145l_bool(hAPP_f877616419l_bool(cOMBB_1458388806ol_bop,hAPP_f62511709l_bool(cOMBB_2139740953al_val,member1417904245al_val)),produc621191550al_val))),U_5198)),hAPP_f257113085l_bool(hAPP_f1100052969l_bool(cOMBC_199425070l_bool,hAPP_f2100207721l_bool(hAPP_f1374595987l_bool(cOMBB_761748254ol_bop,cOMBC_813705475l_bool),hAPP_f866074145l_bool(hAPP_f877616419l_bool(cOMBB_1458388806ol_bop,hAPP_f62511709l_bool(cOMBB_2139740953al_val,member1417904245al_val)),produc621191550al_val))),U_5196))) ),
    inference(clausify,[status(thm)],[f_955_3]) ).

cnf(f_955_5,plain,
    ( hBOOL(hAPP_f1776070952l_bool(ord_le1725884030l_bool(hAPP_f257113085l_bool(hAPP_f1100052969l_bool(cOMBC_199425070l_bool,hAPP_f2100207721l_bool(hAPP_f1374595987l_bool(cOMBB_761748254ol_bop,cOMBC_813705475l_bool),hAPP_f866074145l_bool(hAPP_f877616419l_bool(cOMBB_1458388806ol_bop,hAPP_f62511709l_bool(cOMBB_2139740953al_val,member1417904245al_val)),produc621191550al_val))),U_5199)),hAPP_f257113085l_bool(hAPP_f1100052969l_bool(cOMBC_199425070l_bool,hAPP_f2100207721l_bool(hAPP_f1374595987l_bool(cOMBB_761748254ol_bop,cOMBC_813705475l_bool),hAPP_f866074145l_bool(hAPP_f877616419l_bool(cOMBB_1458388806ol_bop,hAPP_f62511709l_bool(cOMBB_2139740953al_val,member1417904245al_val)),produc621191550al_val))),U_5197)))
    | ~ hBOOL(hAPP_f742333458l_bool(ord_le1467847572l_bool(U_5199),U_5197)) ),
    inference(clausify,[status(thm)],[f_955_3]) ).

fof(f_956_1,plain,
    ! [R_2,S_4] :
      ( ( hBOOL(hAPP_f678833350l_bool(ord_le188521288l_bool(hAPP_f2080627739l_bool(hAPP_f350189921l_bool(cOMBC_1535683812l_bool,hAPP_f1094343359l_bool(hAPP_f876671127l_bool(cOMBB_1200577438t_char,cOMBC_317789649l_bool),hAPP_f1370205989l_bool(hAPP_f1406462375l_bool(cOMBB_109816436t_char,hAPP_f919000597l_bool(cOMBB_1153773871on_val,member1542417277on_val)),produc823076510on_val))),R_2)),hAPP_f2080627739l_bool(hAPP_f350189921l_bool(cOMBC_1535683812l_bool,hAPP_f1094343359l_bool(hAPP_f876671127l_bool(cOMBB_1200577438t_char,cOMBC_317789649l_bool),hAPP_f1370205989l_bool(hAPP_f1406462375l_bool(cOMBB_109816436t_char,hAPP_f919000597l_bool(cOMBB_1153773871on_val,member1542417277on_val)),produc823076510on_val))),S_4)))
        | ~ hBOOL(hAPP_f1134950784l_bool(ord_le1744419030l_bool(R_2),S_4)) )
      & ( hBOOL(hAPP_f1134950784l_bool(ord_le1744419030l_bool(R_2),S_4))
        | ~ hBOOL(hAPP_f678833350l_bool(ord_le188521288l_bool(hAPP_f2080627739l_bool(hAPP_f350189921l_bool(cOMBC_1535683812l_bool,hAPP_f1094343359l_bool(hAPP_f876671127l_bool(cOMBB_1200577438t_char,cOMBC_317789649l_bool),hAPP_f1370205989l_bool(hAPP_f1406462375l_bool(cOMBB_109816436t_char,hAPP_f919000597l_bool(cOMBB_1153773871on_val,member1542417277on_val)),produc823076510on_val))),R_2)),hAPP_f2080627739l_bool(hAPP_f350189921l_bool(cOMBC_1535683812l_bool,hAPP_f1094343359l_bool(hAPP_f876671127l_bool(cOMBB_1200577438t_char,cOMBC_317789649l_bool),hAPP_f1370205989l_bool(hAPP_f1406462375l_bool(cOMBB_109816436t_char,hAPP_f919000597l_bool(cOMBB_1153773871on_val,member1542417277on_val)),produc823076510on_val))),S_4))) ) ),
    inference(fof_nnf,[status(thm)],[fact_814_pred__subset__eq2]) ).

fof(f_956_2,plain,
    ! [U_5201,U_5200] :
      ( ( hBOOL(hAPP_f678833350l_bool(ord_le188521288l_bool(hAPP_f2080627739l_bool(hAPP_f350189921l_bool(cOMBC_1535683812l_bool,hAPP_f1094343359l_bool(hAPP_f876671127l_bool(cOMBB_1200577438t_char,cOMBC_317789649l_bool),hAPP_f1370205989l_bool(hAPP_f1406462375l_bool(cOMBB_109816436t_char,hAPP_f919000597l_bool(cOMBB_1153773871on_val,member1542417277on_val)),produc823076510on_val))),U_5201)),hAPP_f2080627739l_bool(hAPP_f350189921l_bool(cOMBC_1535683812l_bool,hAPP_f1094343359l_bool(hAPP_f876671127l_bool(cOMBB_1200577438t_char,cOMBC_317789649l_bool),hAPP_f1370205989l_bool(hAPP_f1406462375l_bool(cOMBB_109816436t_char,hAPP_f919000597l_bool(cOMBB_1153773871on_val,member1542417277on_val)),produc823076510on_val))),U_5200)))
        | ~ hBOOL(hAPP_f1134950784l_bool(ord_le1744419030l_bool(U_5201),U_5200)) )
      & ( hBOOL(hAPP_f1134950784l_bool(ord_le1744419030l_bool(U_5201),U_5200))
        | ~ hBOOL(hAPP_f678833350l_bool(ord_le188521288l_bool(hAPP_f2080627739l_bool(hAPP_f350189921l_bool(cOMBC_1535683812l_bool,hAPP_f1094343359l_bool(hAPP_f876671127l_bool(cOMBB_1200577438t_char,cOMBC_317789649l_bool),hAPP_f1370205989l_bool(hAPP_f1406462375l_bool(cOMBB_109816436t_char,hAPP_f919000597l_bool(cOMBB_1153773871on_val,member1542417277on_val)),produc823076510on_val))),U_5201)),hAPP_f2080627739l_bool(hAPP_f350189921l_bool(cOMBC_1535683812l_bool,hAPP_f1094343359l_bool(hAPP_f876671127l_bool(cOMBB_1200577438t_char,cOMBC_317789649l_bool),hAPP_f1370205989l_bool(hAPP_f1406462375l_bool(cOMBB_109816436t_char,hAPP_f919000597l_bool(cOMBB_1153773871on_val,member1542417277on_val)),produc823076510on_val))),U_5200))) ) ),
    inference(variable_rename,[status(thm)],[f_956_1]) ).

fof(f_956_3,plain,
    ( ! [U_5205,U_5203] :
        ( hBOOL(hAPP_f678833350l_bool(ord_le188521288l_bool(hAPP_f2080627739l_bool(hAPP_f350189921l_bool(cOMBC_1535683812l_bool,hAPP_f1094343359l_bool(hAPP_f876671127l_bool(cOMBB_1200577438t_char,cOMBC_317789649l_bool),hAPP_f1370205989l_bool(hAPP_f1406462375l_bool(cOMBB_109816436t_char,hAPP_f919000597l_bool(cOMBB_1153773871on_val,member1542417277on_val)),produc823076510on_val))),U_5205)),hAPP_f2080627739l_bool(hAPP_f350189921l_bool(cOMBC_1535683812l_bool,hAPP_f1094343359l_bool(hAPP_f876671127l_bool(cOMBB_1200577438t_char,cOMBC_317789649l_bool),hAPP_f1370205989l_bool(hAPP_f1406462375l_bool(cOMBB_109816436t_char,hAPP_f919000597l_bool(cOMBB_1153773871on_val,member1542417277on_val)),produc823076510on_val))),U_5203)))
        | ~ hBOOL(hAPP_f1134950784l_bool(ord_le1744419030l_bool(U_5205),U_5203)) )
    & ! [U_5204,U_5202] :
        ( hBOOL(hAPP_f1134950784l_bool(ord_le1744419030l_bool(U_5204),U_5202))
        | ~ hBOOL(hAPP_f678833350l_bool(ord_le188521288l_bool(hAPP_f2080627739l_bool(hAPP_f350189921l_bool(cOMBC_1535683812l_bool,hAPP_f1094343359l_bool(hAPP_f876671127l_bool(cOMBB_1200577438t_char,cOMBC_317789649l_bool),hAPP_f1370205989l_bool(hAPP_f1406462375l_bool(cOMBB_109816436t_char,hAPP_f919000597l_bool(cOMBB_1153773871on_val,member1542417277on_val)),produc823076510on_val))),U_5204)),hAPP_f2080627739l_bool(hAPP_f350189921l_bool(cOMBC_1535683812l_bool,hAPP_f1094343359l_bool(hAPP_f876671127l_bool(cOMBB_1200577438t_char,cOMBC_317789649l_bool),hAPP_f1370205989l_bool(hAPP_f1406462375l_bool(cOMBB_109816436t_char,hAPP_f919000597l_bool(cOMBB_1153773871on_val,member1542417277on_val)),produc823076510on_val))),U_5202))) ) ),
    inference(miniscope,[status(thm)],[f_956_2]) ).

cnf(f_956_4,plain,
    ( hBOOL(hAPP_f1134950784l_bool(ord_le1744419030l_bool(U_5204),U_5202))
    | ~ hBOOL(hAPP_f678833350l_bool(ord_le188521288l_bool(hAPP_f2080627739l_bool(hAPP_f350189921l_bool(cOMBC_1535683812l_bool,hAPP_f1094343359l_bool(hAPP_f876671127l_bool(cOMBB_1200577438t_char,cOMBC_317789649l_bool),hAPP_f1370205989l_bool(hAPP_f1406462375l_bool(cOMBB_109816436t_char,hAPP_f919000597l_bool(cOMBB_1153773871on_val,member1542417277on_val)),produc823076510on_val))),U_5204)),hAPP_f2080627739l_bool(hAPP_f350189921l_bool(cOMBC_1535683812l_bool,hAPP_f1094343359l_bool(hAPP_f876671127l_bool(cOMBB_1200577438t_char,cOMBC_317789649l_bool),hAPP_f1370205989l_bool(hAPP_f1406462375l_bool(cOMBB_109816436t_char,hAPP_f919000597l_bool(cOMBB_1153773871on_val,member1542417277on_val)),produc823076510on_val))),U_5202))) ),
    inference(clausify,[status(thm)],[f_956_3]) ).

cnf(f_956_5,plain,
    ( hBOOL(hAPP_f678833350l_bool(ord_le188521288l_bool(hAPP_f2080627739l_bool(hAPP_f350189921l_bool(cOMBC_1535683812l_bool,hAPP_f1094343359l_bool(hAPP_f876671127l_bool(cOMBB_1200577438t_char,cOMBC_317789649l_bool),hAPP_f1370205989l_bool(hAPP_f1406462375l_bool(cOMBB_109816436t_char,hAPP_f919000597l_bool(cOMBB_1153773871on_val,member1542417277on_val)),produc823076510on_val))),U_5205)),hAPP_f2080627739l_bool(hAPP_f350189921l_bool(cOMBC_1535683812l_bool,hAPP_f1094343359l_bool(hAPP_f876671127l_bool(cOMBB_1200577438t_char,cOMBC_317789649l_bool),hAPP_f1370205989l_bool(hAPP_f1406462375l_bool(cOMBB_109816436t_char,hAPP_f919000597l_bool(cOMBB_1153773871on_val,member1542417277on_val)),produc823076510on_val))),U_5203)))
    | ~ hBOOL(hAPP_f1134950784l_bool(ord_le1744419030l_bool(U_5205),U_5203)) ),
    inference(clausify,[status(thm)],[f_956_3]) ).

fof(f_957_1,plain,
    ! [R_2,S_4] :
      ( ( hBOOL(hAPP_f1450446905l_bool(ord_le125655867l_bool(hAPP_f47713631l_bool(hAPP_f77033475l_bool(cOMBC_1317565126l_bool,hAPP_f1250221913l_bool(hAPP_f1860331535l_bool(cOMBB_2084052674on_val,cOMBC_1518234801l_bool),hAPP_f1670595613l_bool(hAPP_f1472899487l_bool(cOMBB_588525814on_val,hAPP_f1168269397l_bool(cOMBB_1293776864on_val,member763590124on_val)),produc899768717on_val))),R_2)),hAPP_f47713631l_bool(hAPP_f77033475l_bool(cOMBC_1317565126l_bool,hAPP_f1250221913l_bool(hAPP_f1860331535l_bool(cOMBB_2084052674on_val,cOMBC_1518234801l_bool),hAPP_f1670595613l_bool(hAPP_f1472899487l_bool(cOMBB_588525814on_val,hAPP_f1168269397l_bool(cOMBB_1293776864on_val,member763590124on_val)),produc899768717on_val))),S_4)))
        | ~ hBOOL(hAPP_f966411375l_bool(ord_le1908998213l_bool(R_2),S_4)) )
      & ( hBOOL(hAPP_f966411375l_bool(ord_le1908998213l_bool(R_2),S_4))
        | ~ hBOOL(hAPP_f1450446905l_bool(ord_le125655867l_bool(hAPP_f47713631l_bool(hAPP_f77033475l_bool(cOMBC_1317565126l_bool,hAPP_f1250221913l_bool(hAPP_f1860331535l_bool(cOMBB_2084052674on_val,cOMBC_1518234801l_bool),hAPP_f1670595613l_bool(hAPP_f1472899487l_bool(cOMBB_588525814on_val,hAPP_f1168269397l_bool(cOMBB_1293776864on_val,member763590124on_val)),produc899768717on_val))),R_2)),hAPP_f47713631l_bool(hAPP_f77033475l_bool(cOMBC_1317565126l_bool,hAPP_f1250221913l_bool(hAPP_f1860331535l_bool(cOMBB_2084052674on_val,cOMBC_1518234801l_bool),hAPP_f1670595613l_bool(hAPP_f1472899487l_bool(cOMBB_588525814on_val,hAPP_f1168269397l_bool(cOMBB_1293776864on_val,member763590124on_val)),produc899768717on_val))),S_4))) ) ),
    inference(fof_nnf,[status(thm)],[fact_815_pred__subset__eq2]) ).

fof(f_957_2,plain,
    ! [U_5207,U_5206] :
      ( ( hBOOL(hAPP_f1450446905l_bool(ord_le125655867l_bool(hAPP_f47713631l_bool(hAPP_f77033475l_bool(cOMBC_1317565126l_bool,hAPP_f1250221913l_bool(hAPP_f1860331535l_bool(cOMBB_2084052674on_val,cOMBC_1518234801l_bool),hAPP_f1670595613l_bool(hAPP_f1472899487l_bool(cOMBB_588525814on_val,hAPP_f1168269397l_bool(cOMBB_1293776864on_val,member763590124on_val)),produc899768717on_val))),U_5207)),hAPP_f47713631l_bool(hAPP_f77033475l_bool(cOMBC_1317565126l_bool,hAPP_f1250221913l_bool(hAPP_f1860331535l_bool(cOMBB_2084052674on_val,cOMBC_1518234801l_bool),hAPP_f1670595613l_bool(hAPP_f1472899487l_bool(cOMBB_588525814on_val,hAPP_f1168269397l_bool(cOMBB_1293776864on_val,member763590124on_val)),produc899768717on_val))),U_5206)))
        | ~ hBOOL(hAPP_f966411375l_bool(ord_le1908998213l_bool(U_5207),U_5206)) )
      & ( hBOOL(hAPP_f966411375l_bool(ord_le1908998213l_bool(U_5207),U_5206))
        | ~ hBOOL(hAPP_f1450446905l_bool(ord_le125655867l_bool(hAPP_f47713631l_bool(hAPP_f77033475l_bool(cOMBC_1317565126l_bool,hAPP_f1250221913l_bool(hAPP_f1860331535l_bool(cOMBB_2084052674on_val,cOMBC_1518234801l_bool),hAPP_f1670595613l_bool(hAPP_f1472899487l_bool(cOMBB_588525814on_val,hAPP_f1168269397l_bool(cOMBB_1293776864on_val,member763590124on_val)),produc899768717on_val))),U_5207)),hAPP_f47713631l_bool(hAPP_f77033475l_bool(cOMBC_1317565126l_bool,hAPP_f1250221913l_bool(hAPP_f1860331535l_bool(cOMBB_2084052674on_val,cOMBC_1518234801l_bool),hAPP_f1670595613l_bool(hAPP_f1472899487l_bool(cOMBB_588525814on_val,hAPP_f1168269397l_bool(cOMBB_1293776864on_val,member763590124on_val)),produc899768717on_val))),U_5206))) ) ),
    inference(variable_rename,[status(thm)],[f_957_1]) ).

fof(f_957_3,plain,
    ( ! [U_5211,U_5209] :
        ( hBOOL(hAPP_f1450446905l_bool(ord_le125655867l_bool(hAPP_f47713631l_bool(hAPP_f77033475l_bool(cOMBC_1317565126l_bool,hAPP_f1250221913l_bool(hAPP_f1860331535l_bool(cOMBB_2084052674on_val,cOMBC_1518234801l_bool),hAPP_f1670595613l_bool(hAPP_f1472899487l_bool(cOMBB_588525814on_val,hAPP_f1168269397l_bool(cOMBB_1293776864on_val,member763590124on_val)),produc899768717on_val))),U_5211)),hAPP_f47713631l_bool(hAPP_f77033475l_bool(cOMBC_1317565126l_bool,hAPP_f1250221913l_bool(hAPP_f1860331535l_bool(cOMBB_2084052674on_val,cOMBC_1518234801l_bool),hAPP_f1670595613l_bool(hAPP_f1472899487l_bool(cOMBB_588525814on_val,hAPP_f1168269397l_bool(cOMBB_1293776864on_val,member763590124on_val)),produc899768717on_val))),U_5209)))
        | ~ hBOOL(hAPP_f966411375l_bool(ord_le1908998213l_bool(U_5211),U_5209)) )
    & ! [U_5210,U_5208] :
        ( hBOOL(hAPP_f966411375l_bool(ord_le1908998213l_bool(U_5210),U_5208))
        | ~ hBOOL(hAPP_f1450446905l_bool(ord_le125655867l_bool(hAPP_f47713631l_bool(hAPP_f77033475l_bool(cOMBC_1317565126l_bool,hAPP_f1250221913l_bool(hAPP_f1860331535l_bool(cOMBB_2084052674on_val,cOMBC_1518234801l_bool),hAPP_f1670595613l_bool(hAPP_f1472899487l_bool(cOMBB_588525814on_val,hAPP_f1168269397l_bool(cOMBB_1293776864on_val,member763590124on_val)),produc899768717on_val))),U_5210)),hAPP_f47713631l_bool(hAPP_f77033475l_bool(cOMBC_1317565126l_bool,hAPP_f1250221913l_bool(hAPP_f1860331535l_bool(cOMBB_2084052674on_val,cOMBC_1518234801l_bool),hAPP_f1670595613l_bool(hAPP_f1472899487l_bool(cOMBB_588525814on_val,hAPP_f1168269397l_bool(cOMBB_1293776864on_val,member763590124on_val)),produc899768717on_val))),U_5208))) ) ),
    inference(miniscope,[status(thm)],[f_957_2]) ).

cnf(f_957_4,plain,
    ( hBOOL(hAPP_f966411375l_bool(ord_le1908998213l_bool(U_5210),U_5208))
    | ~ hBOOL(hAPP_f1450446905l_bool(ord_le125655867l_bool(hAPP_f47713631l_bool(hAPP_f77033475l_bool(cOMBC_1317565126l_bool,hAPP_f1250221913l_bool(hAPP_f1860331535l_bool(cOMBB_2084052674on_val,cOMBC_1518234801l_bool),hAPP_f1670595613l_bool(hAPP_f1472899487l_bool(cOMBB_588525814on_val,hAPP_f1168269397l_bool(cOMBB_1293776864on_val,member763590124on_val)),produc899768717on_val))),U_5210)),hAPP_f47713631l_bool(hAPP_f77033475l_bool(cOMBC_1317565126l_bool,hAPP_f1250221913l_bool(hAPP_f1860331535l_bool(cOMBB_2084052674on_val,cOMBC_1518234801l_bool),hAPP_f1670595613l_bool(hAPP_f1472899487l_bool(cOMBB_588525814on_val,hAPP_f1168269397l_bool(cOMBB_1293776864on_val,member763590124on_val)),produc899768717on_val))),U_5208))) ),
    inference(clausify,[status(thm)],[f_957_3]) ).

cnf(f_957_5,plain,
    ( hBOOL(hAPP_f1450446905l_bool(ord_le125655867l_bool(hAPP_f47713631l_bool(hAPP_f77033475l_bool(cOMBC_1317565126l_bool,hAPP_f1250221913l_bool(hAPP_f1860331535l_bool(cOMBB_2084052674on_val,cOMBC_1518234801l_bool),hAPP_f1670595613l_bool(hAPP_f1472899487l_bool(cOMBB_588525814on_val,hAPP_f1168269397l_bool(cOMBB_1293776864on_val,member763590124on_val)),produc899768717on_val))),U_5211)),hAPP_f47713631l_bool(hAPP_f77033475l_bool(cOMBC_1317565126l_bool,hAPP_f1250221913l_bool(hAPP_f1860331535l_bool(cOMBB_2084052674on_val,cOMBC_1518234801l_bool),hAPP_f1670595613l_bool(hAPP_f1472899487l_bool(cOMBB_588525814on_val,hAPP_f1168269397l_bool(cOMBB_1293776864on_val,member763590124on_val)),produc899768717on_val))),U_5209)))
    | ~ hBOOL(hAPP_f966411375l_bool(ord_le1908998213l_bool(U_5211),U_5209)) ),
    inference(clausify,[status(thm)],[f_957_3]) ).

fof(f_958_1,plain,
    ! [R_2,S_4] :
      ( ( hBOOL(hAPP_f570766339l_bool(ord_le1080391173l_bool(hAPP_f989077673l_bool(hAPP_f40682957l_bool(cOMBC_562612496l_bool,hAPP_f1475571983l_bool(hAPP_f1946480059l_bool(cOMBB_673739729t_char,cOMBC_1585774710l_bool),hAPP_f1614195593l_bool(hAPP_f705562443l_bool(cOMBB_507006011t_char,hAPP_f1639555093l_bool(cOMBB_985659173on_val,member840932460on_val)),produc1259058957on_val))),R_2)),hAPP_f989077673l_bool(hAPP_f40682957l_bool(cOMBC_562612496l_bool,hAPP_f1475571983l_bool(hAPP_f1946480059l_bool(cOMBB_673739729t_char,cOMBC_1585774710l_bool),hAPP_f1614195593l_bool(hAPP_f705562443l_bool(cOMBB_507006011t_char,hAPP_f1639555093l_bool(cOMBB_985659173on_val,member840932460on_val)),produc1259058957on_val))),S_4)))
        | ~ hBOOL(hAPP_f91506671l_bool(ord_le1668954565l_bool(R_2),S_4)) )
      & ( hBOOL(hAPP_f91506671l_bool(ord_le1668954565l_bool(R_2),S_4))
        | ~ hBOOL(hAPP_f570766339l_bool(ord_le1080391173l_bool(hAPP_f989077673l_bool(hAPP_f40682957l_bool(cOMBC_562612496l_bool,hAPP_f1475571983l_bool(hAPP_f1946480059l_bool(cOMBB_673739729t_char,cOMBC_1585774710l_bool),hAPP_f1614195593l_bool(hAPP_f705562443l_bool(cOMBB_507006011t_char,hAPP_f1639555093l_bool(cOMBB_985659173on_val,member840932460on_val)),produc1259058957on_val))),R_2)),hAPP_f989077673l_bool(hAPP_f40682957l_bool(cOMBC_562612496l_bool,hAPP_f1475571983l_bool(hAPP_f1946480059l_bool(cOMBB_673739729t_char,cOMBC_1585774710l_bool),hAPP_f1614195593l_bool(hAPP_f705562443l_bool(cOMBB_507006011t_char,hAPP_f1639555093l_bool(cOMBB_985659173on_val,member840932460on_val)),produc1259058957on_val))),S_4))) ) ),
    inference(fof_nnf,[status(thm)],[fact_816_pred__subset__eq2]) ).

fof(f_958_2,plain,
    ! [U_5213,U_5212] :
      ( ( hBOOL(hAPP_f570766339l_bool(ord_le1080391173l_bool(hAPP_f989077673l_bool(hAPP_f40682957l_bool(cOMBC_562612496l_bool,hAPP_f1475571983l_bool(hAPP_f1946480059l_bool(cOMBB_673739729t_char,cOMBC_1585774710l_bool),hAPP_f1614195593l_bool(hAPP_f705562443l_bool(cOMBB_507006011t_char,hAPP_f1639555093l_bool(cOMBB_985659173on_val,member840932460on_val)),produc1259058957on_val))),U_5213)),hAPP_f989077673l_bool(hAPP_f40682957l_bool(cOMBC_562612496l_bool,hAPP_f1475571983l_bool(hAPP_f1946480059l_bool(cOMBB_673739729t_char,cOMBC_1585774710l_bool),hAPP_f1614195593l_bool(hAPP_f705562443l_bool(cOMBB_507006011t_char,hAPP_f1639555093l_bool(cOMBB_985659173on_val,member840932460on_val)),produc1259058957on_val))),U_5212)))
        | ~ hBOOL(hAPP_f91506671l_bool(ord_le1668954565l_bool(U_5213),U_5212)) )
      & ( hBOOL(hAPP_f91506671l_bool(ord_le1668954565l_bool(U_5213),U_5212))
        | ~ hBOOL(hAPP_f570766339l_bool(ord_le1080391173l_bool(hAPP_f989077673l_bool(hAPP_f40682957l_bool(cOMBC_562612496l_bool,hAPP_f1475571983l_bool(hAPP_f1946480059l_bool(cOMBB_673739729t_char,cOMBC_1585774710l_bool),hAPP_f1614195593l_bool(hAPP_f705562443l_bool(cOMBB_507006011t_char,hAPP_f1639555093l_bool(cOMBB_985659173on_val,member840932460on_val)),produc1259058957on_val))),U_5213)),hAPP_f989077673l_bool(hAPP_f40682957l_bool(cOMBC_562612496l_bool,hAPP_f1475571983l_bool(hAPP_f1946480059l_bool(cOMBB_673739729t_char,cOMBC_1585774710l_bool),hAPP_f1614195593l_bool(hAPP_f705562443l_bool(cOMBB_507006011t_char,hAPP_f1639555093l_bool(cOMBB_985659173on_val,member840932460on_val)),produc1259058957on_val))),U_5212))) ) ),
    inference(variable_rename,[status(thm)],[f_958_1]) ).

fof(f_958_3,plain,
    ( ! [U_5217,U_5215] :
        ( hBOOL(hAPP_f570766339l_bool(ord_le1080391173l_bool(hAPP_f989077673l_bool(hAPP_f40682957l_bool(cOMBC_562612496l_bool,hAPP_f1475571983l_bool(hAPP_f1946480059l_bool(cOMBB_673739729t_char,cOMBC_1585774710l_bool),hAPP_f1614195593l_bool(hAPP_f705562443l_bool(cOMBB_507006011t_char,hAPP_f1639555093l_bool(cOMBB_985659173on_val,member840932460on_val)),produc1259058957on_val))),U_5217)),hAPP_f989077673l_bool(hAPP_f40682957l_bool(cOMBC_562612496l_bool,hAPP_f1475571983l_bool(hAPP_f1946480059l_bool(cOMBB_673739729t_char,cOMBC_1585774710l_bool),hAPP_f1614195593l_bool(hAPP_f705562443l_bool(cOMBB_507006011t_char,hAPP_f1639555093l_bool(cOMBB_985659173on_val,member840932460on_val)),produc1259058957on_val))),U_5215)))
        | ~ hBOOL(hAPP_f91506671l_bool(ord_le1668954565l_bool(U_5217),U_5215)) )
    & ! [U_5216,U_5214] :
        ( hBOOL(hAPP_f91506671l_bool(ord_le1668954565l_bool(U_5216),U_5214))
        | ~ hBOOL(hAPP_f570766339l_bool(ord_le1080391173l_bool(hAPP_f989077673l_bool(hAPP_f40682957l_bool(cOMBC_562612496l_bool,hAPP_f1475571983l_bool(hAPP_f1946480059l_bool(cOMBB_673739729t_char,cOMBC_1585774710l_bool),hAPP_f1614195593l_bool(hAPP_f705562443l_bool(cOMBB_507006011t_char,hAPP_f1639555093l_bool(cOMBB_985659173on_val,member840932460on_val)),produc1259058957on_val))),U_5216)),hAPP_f989077673l_bool(hAPP_f40682957l_bool(cOMBC_562612496l_bool,hAPP_f1475571983l_bool(hAPP_f1946480059l_bool(cOMBB_673739729t_char,cOMBC_1585774710l_bool),hAPP_f1614195593l_bool(hAPP_f705562443l_bool(cOMBB_507006011t_char,hAPP_f1639555093l_bool(cOMBB_985659173on_val,member840932460on_val)),produc1259058957on_val))),U_5214))) ) ),
    inference(miniscope,[status(thm)],[f_958_2]) ).

cnf(f_958_4,plain,
    ( hBOOL(hAPP_f91506671l_bool(ord_le1668954565l_bool(U_5216),U_5214))
    | ~ hBOOL(hAPP_f570766339l_bool(ord_le1080391173l_bool(hAPP_f989077673l_bool(hAPP_f40682957l_bool(cOMBC_562612496l_bool,hAPP_f1475571983l_bool(hAPP_f1946480059l_bool(cOMBB_673739729t_char,cOMBC_1585774710l_bool),hAPP_f1614195593l_bool(hAPP_f705562443l_bool(cOMBB_507006011t_char,hAPP_f1639555093l_bool(cOMBB_985659173on_val,member840932460on_val)),produc1259058957on_val))),U_5216)),hAPP_f989077673l_bool(hAPP_f40682957l_bool(cOMBC_562612496l_bool,hAPP_f1475571983l_bool(hAPP_f1946480059l_bool(cOMBB_673739729t_char,cOMBC_1585774710l_bool),hAPP_f1614195593l_bool(hAPP_f705562443l_bool(cOMBB_507006011t_char,hAPP_f1639555093l_bool(cOMBB_985659173on_val,member840932460on_val)),produc1259058957on_val))),U_5214))) ),
    inference(clausify,[status(thm)],[f_958_3]) ).

cnf(f_958_5,plain,
    ( hBOOL(hAPP_f570766339l_bool(ord_le1080391173l_bool(hAPP_f989077673l_bool(hAPP_f40682957l_bool(cOMBC_562612496l_bool,hAPP_f1475571983l_bool(hAPP_f1946480059l_bool(cOMBB_673739729t_char,cOMBC_1585774710l_bool),hAPP_f1614195593l_bool(hAPP_f705562443l_bool(cOMBB_507006011t_char,hAPP_f1639555093l_bool(cOMBB_985659173on_val,member840932460on_val)),produc1259058957on_val))),U_5217)),hAPP_f989077673l_bool(hAPP_f40682957l_bool(cOMBC_562612496l_bool,hAPP_f1475571983l_bool(hAPP_f1946480059l_bool(cOMBB_673739729t_char,cOMBC_1585774710l_bool),hAPP_f1614195593l_bool(hAPP_f705562443l_bool(cOMBB_507006011t_char,hAPP_f1639555093l_bool(cOMBB_985659173on_val,member840932460on_val)),produc1259058957on_val))),U_5215)))
    | ~ hBOOL(hAPP_f91506671l_bool(ord_le1668954565l_bool(U_5217),U_5215)) ),
    inference(clausify,[status(thm)],[f_958_3]) ).

fof(f_959_1,plain,
    ! [Z_1,Y_2,X_2] :
      ( hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(Z_1),X_2))
      | ~ hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(Z_1),Y_2))
      | ~ hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(Y_2),X_2)) ),
    inference(fof_nnf,[status(thm)],[fact_817_xt1_I6_J]) ).

fof(f_959_2,plain,
    ! [U_5220,U_5219,U_5218] :
      ( hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(U_5220),U_5218))
      | ~ hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(U_5220),U_5219))
      | ~ hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(U_5219),U_5218)) ),
    inference(variable_rename,[status(thm)],[f_959_1]) ).

cnf(f_959_3,plain,
    ( hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(U_5220),U_5218))
    | ~ hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(U_5220),U_5219))
    | ~ hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(U_5219),U_5218)) ),
    inference(clausify,[status(thm)],[f_959_2]) ).

fof(f_960_1,plain,
    ! [Y_2,X_2] :
      ( X_2 = Y_2
      | ~ hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(X_2),Y_2))
      | ~ hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(Y_2),X_2)) ),
    inference(fof_nnf,[status(thm)],[fact_818_xt1_I5_J]) ).

fof(f_960_2,plain,
    ! [U_5222,U_5221] :
      ( U_5221 = U_5222
      | ~ hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(U_5221),U_5222))
      | ~ hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(U_5222),U_5221)) ),
    inference(variable_rename,[status(thm)],[f_960_1]) ).

cnf(f_960_3,plain,
    ( U_5221 = U_5222
    | ~ hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(U_5221),U_5222))
    | ~ hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(U_5222),U_5221)) ),
    inference(clausify,[status(thm)],[f_960_2]) ).

fof(f_961_1,plain,
    ! [Z_1,X_2,Y_2] :
      ( hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(X_2),Z_1))
      | ~ hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(Y_2),Z_1))
      | ~ hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(X_2),Y_2)) ),
    inference(fof_nnf,[status(thm)],[fact_819_order__trans]) ).

fof(f_961_2,plain,
    ! [U_5225,U_5224,U_5223] :
      ( hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(U_5224),U_5225))
      | ~ hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(U_5223),U_5225))
      | ~ hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(U_5224),U_5223)) ),
    inference(variable_rename,[status(thm)],[f_961_1]) ).

cnf(f_961_3,plain,
    ( hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(U_5224),U_5225))
    | ~ hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(U_5223),U_5225))
    | ~ hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(U_5224),U_5223)) ),
    inference(clausify,[status(thm)],[f_961_2]) ).

fof(f_962_1,plain,
    ! [X_2,Y_2] :
      ( X_2 = Y_2
      | ~ hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(Y_2),X_2))
      | ~ hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(X_2),Y_2)) ),
    inference(fof_nnf,[status(thm)],[fact_820_order__antisym]) ).

fof(f_962_2,plain,
    ! [U_5227,U_5226] :
      ( U_5227 = U_5226
      | ~ hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(U_5226),U_5227))
      | ~ hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(U_5227),U_5226)) ),
    inference(variable_rename,[status(thm)],[f_962_1]) ).

cnf(f_962_3,plain,
    ( U_5227 = U_5226
    | ~ hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(U_5226),U_5227))
    | ~ hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(U_5227),U_5226)) ),
    inference(clausify,[status(thm)],[f_962_2]) ).

fof(f_963_1,plain,
    ! [C_2,B,A] :
      ( hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(C_2),A))
      | B != C_2
      | ~ hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(B),A)) ),
    inference(fof_nnf,[status(thm)],[fact_821_xt1_I4_J]) ).

fof(f_963_2,plain,
    ! [U_5230,U_5229,U_5228] :
      ( hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(U_5230),U_5228))
      | U_5229 != U_5230
      | ~ hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(U_5229),U_5228)) ),
    inference(variable_rename,[status(thm)],[f_963_1]) ).

cnf(f_963_3,plain,
    ( hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(U_5230),U_5228))
    | U_5229 != U_5230
    | ~ hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(U_5229),U_5228)) ),
    inference(clausify,[status(thm)],[f_963_2]) ).

fof(f_964_1,plain,
    ! [C_2,A,B] :
      ( hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(A),C_2))
      | B != C_2
      | ~ hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(A),B)) ),
    inference(fof_nnf,[status(thm)],[fact_822_ord__le__eq__trans]) ).

fof(f_964_2,plain,
    ! [U_5233,U_5232,U_5231] :
      ( hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(U_5232),U_5233))
      | U_5231 != U_5233
      | ~ hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(U_5232),U_5231)) ),
    inference(variable_rename,[status(thm)],[f_964_1]) ).

cnf(f_964_3,plain,
    ( hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(U_5232),U_5233))
    | U_5231 != U_5233
    | ~ hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(U_5232),U_5231)) ),
    inference(clausify,[status(thm)],[f_964_2]) ).

fof(f_965_1,plain,
    ! [C_2,A,B] :
      ( hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(C_2),A))
      | ~ hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(C_2),B))
      | A != B ),
    inference(fof_nnf,[status(thm)],[fact_823_xt1_I3_J]) ).

fof(f_965_2,plain,
    ! [U_5236,U_5235,U_5234] :
      ( hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(U_5236),U_5235))
      | ~ hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(U_5236),U_5234))
      | U_5235 != U_5234 ),
    inference(variable_rename,[status(thm)],[f_965_1]) ).

cnf(f_965_3,plain,
    ( hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(U_5236),U_5235))
    | ~ hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(U_5236),U_5234))
    | U_5235 != U_5234 ),
    inference(clausify,[status(thm)],[f_965_2]) ).

fof(f_966_1,plain,
    ! [C_2,A,B] :
      ( hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(A),C_2))
      | ~ hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(B),C_2))
      | A != B ),
    inference(fof_nnf,[status(thm)],[fact_824_ord__eq__le__trans]) ).

fof(f_966_2,plain,
    ! [U_5239,U_5238,U_5237] :
      ( hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(U_5238),U_5239))
      | ~ hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(U_5237),U_5239))
      | U_5238 != U_5237 ),
    inference(variable_rename,[status(thm)],[f_966_1]) ).

cnf(f_966_3,plain,
    ( hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(U_5238),U_5239))
    | ~ hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(U_5237),U_5239))
    | U_5238 != U_5237 ),
    inference(clausify,[status(thm)],[f_966_2]) ).

fof(f_967_1,plain,
    ! [Y_2,X_2] :
      ( ( ( hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(X_2),Y_2))
          | X_2 != Y_2 )
        & ( X_2 = Y_2
          | ~ hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(X_2),Y_2)) ) )
      | ~ hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(Y_2),X_2)) ),
    inference(fof_nnf,[status(thm)],[fact_825_order__antisym__conv]) ).

fof(f_967_2,plain,
    ! [U_5241,U_5240] :
      ( ( ( hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(U_5240),U_5241))
          | U_5240 != U_5241 )
        & ( U_5240 = U_5241
          | ~ hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(U_5240),U_5241)) ) )
      | ~ hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(U_5241),U_5240)) ),
    inference(variable_rename,[status(thm)],[f_967_1]) ).

cnf(f_967_3,plain,
    ( U_5240 = U_5241
    | ~ hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(U_5240),U_5241))
    | ~ hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(U_5241),U_5240)) ),
    inference(clausify,[status(thm)],[f_967_2]) ).

cnf(f_967_4,plain,
    ( hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(U_5240),U_5241))
    | U_5240 != U_5241
    | ~ hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(U_5241),U_5240)) ),
    inference(clausify,[status(thm)],[f_967_2]) ).

fof(f_968_1,plain,
    ! [X_2,Y_2] :
      ( hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(X_2),Y_2))
      | X_2 != Y_2 ),
    inference(fof_nnf,[status(thm)],[fact_826_order__eq__refl]) ).

fof(f_968_2,plain,
    ! [U_5243,U_5242] :
      ( hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(U_5243),U_5242))
      | U_5243 != U_5242 ),
    inference(variable_rename,[status(thm)],[f_968_1]) ).

cnf(f_968_3,plain,
    ( hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(U_5243),U_5242))
    | U_5243 != U_5242 ),
    inference(clausify,[status(thm)],[f_968_2]) ).

fof(f_969_1,plain,
    ! [X_2,Y_2] :
      ( ( X_2 = Y_2
        | ~ hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(Y_2),X_2))
        | ~ hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(X_2),Y_2)) )
      & ( ( hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(Y_2),X_2))
          & hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(X_2),Y_2)) )
        | X_2 != Y_2 ) ),
    inference(fof_nnf,[status(thm)],[fact_827_order__eq__iff]) ).

fof(f_969_2,plain,
    ! [U_5245,U_5244] :
      ( ( U_5245 = U_5244
        | ~ hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(U_5244),U_5245))
        | ~ hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(U_5245),U_5244)) )
      & ( ( hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(U_5244),U_5245))
          & hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(U_5245),U_5244)) )
        | U_5245 != U_5244 ) ),
    inference(variable_rename,[status(thm)],[f_969_1]) ).

fof(f_969_3,plain,
    ( ! [U_5249,U_5247] :
        ( U_5249 = U_5247
        | ~ hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(U_5247),U_5249))
        | ~ hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(U_5249),U_5247)) )
    & ! [U_5248,U_5246] :
        ( ( hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(U_5246),U_5248))
          & hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(U_5248),U_5246)) )
        | U_5248 != U_5246 ) ),
    inference(miniscope,[status(thm)],[f_969_2]) ).

cnf(f_969_4,plain,
    ( hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(U_5248),U_5246))
    | U_5248 != U_5246 ),
    inference(clausify,[status(thm)],[f_969_3]) ).

cnf(f_969_5,plain,
    ( hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(U_5246),U_5248))
    | U_5248 != U_5246 ),
    inference(clausify,[status(thm)],[f_969_3]) ).

cnf(f_969_6,plain,
    ( U_5249 = U_5247
    | ~ hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(U_5247),U_5249))
    | ~ hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(U_5249),U_5247)) ),
    inference(clausify,[status(thm)],[f_969_3]) ).

fof(f_970_1,plain,
    ! [X_2,F_1,G] :
      ( hBOOL(hAPP_bool_bool(ord_less_eq_bool(hAPP_list_char_bool(F_1,X_2)),hAPP_list_char_bool(G,X_2)))
      | ~ hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(F_1),G)) ),
    inference(fof_nnf,[status(thm)],[fact_828_le__funE]) ).

fof(f_970_2,plain,
    ! [U_5252,U_5251,U_5250] :
      ( hBOOL(hAPP_bool_bool(ord_less_eq_bool(hAPP_list_char_bool(U_5251,U_5252)),hAPP_list_char_bool(U_5250,U_5252)))
      | ~ hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(U_5251),U_5250)) ),
    inference(variable_rename,[status(thm)],[f_970_1]) ).

cnf(f_970_3,plain,
    ( hBOOL(hAPP_bool_bool(ord_less_eq_bool(hAPP_list_char_bool(U_5251,U_5252)),hAPP_list_char_bool(U_5250,U_5252)))
    | ~ hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(U_5251),U_5250)) ),
    inference(clausify,[status(thm)],[f_970_2]) ).

fof(f_971_1,plain,
    ! [X_2,F_1,G] :
      ( hBOOL(hAPP_bool_bool(ord_less_eq_bool(hAPP_list_char_bool(F_1,X_2)),hAPP_list_char_bool(G,X_2)))
      | ~ hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(F_1),G)) ),
    inference(fof_nnf,[status(thm)],[fact_829_le__funD]) ).

fof(f_971_2,plain,
    ! [U_5255,U_5254,U_5253] :
      ( hBOOL(hAPP_bool_bool(ord_less_eq_bool(hAPP_list_char_bool(U_5254,U_5255)),hAPP_list_char_bool(U_5253,U_5255)))
      | ~ hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(U_5254),U_5253)) ),
    inference(variable_rename,[status(thm)],[f_971_1]) ).

cnf(f_971_3,plain,
    ( hBOOL(hAPP_bool_bool(ord_less_eq_bool(hAPP_list_char_bool(U_5254,U_5255)),hAPP_list_char_bool(U_5253,U_5255)))
    | ~ hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(U_5254),U_5253)) ),
    inference(clausify,[status(thm)],[f_971_2]) ).

fof(f_972_1,plain,
    ! [F_1,G] :
      ( ( hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(F_1),G))
        | ? [X_1] : ~ hBOOL(hAPP_bool_bool(ord_less_eq_bool(hAPP_list_char_bool(F_1,X_1)),hAPP_list_char_bool(G,X_1))) )
      & ( ! [X_1] : hBOOL(hAPP_bool_bool(ord_less_eq_bool(hAPP_list_char_bool(F_1,X_1)),hAPP_list_char_bool(G,X_1)))
        | ~ hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(F_1),G)) ) ),
    inference(fof_nnf,[status(thm)],[fact_830_le__fun__def]) ).

fof(f_972_2,plain,
    ! [U_5259,U_5258] :
      ( ( hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(U_5259),U_5258))
        | ? [U_5257] : ~ hBOOL(hAPP_bool_bool(ord_less_eq_bool(hAPP_list_char_bool(U_5259,U_5257)),hAPP_list_char_bool(U_5258,U_5257))) )
      & ( ! [U_5256] : hBOOL(hAPP_bool_bool(ord_less_eq_bool(hAPP_list_char_bool(U_5259,U_5256)),hAPP_list_char_bool(U_5258,U_5256)))
        | ~ hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(U_5259),U_5258)) ) ),
    inference(variable_rename,[status(thm)],[f_972_1]) ).

fof(f_972_3,plain,
    ( ! [U_5263,U_5261] :
        ( hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(U_5263),U_5261))
        | ? [U_5257] : ~ hBOOL(hAPP_bool_bool(ord_less_eq_bool(hAPP_list_char_bool(U_5263,U_5257)),hAPP_list_char_bool(U_5261,U_5257))) )
    & ! [U_5262,U_5260] :
        ( ! [U_5256] : hBOOL(hAPP_bool_bool(ord_less_eq_bool(hAPP_list_char_bool(U_5262,U_5256)),hAPP_list_char_bool(U_5260,U_5256)))
        | ~ hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(U_5262),U_5260)) ) ),
    inference(miniscope,[status(thm)],[f_972_2]) ).

fof(f_972_4,plain,
    ( ! [U_5263,U_5261] :
        ( hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(U_5263),U_5261))
        | ~ hBOOL(hAPP_bool_bool(ord_less_eq_bool(hAPP_list_char_bool(U_5263,sK932(U_5263,U_5261))),hAPP_list_char_bool(U_5261,sK932(U_5263,U_5261)))) )
    & ! [U_5262,U_5260] :
        ( ! [U_5256] : hBOOL(hAPP_bool_bool(ord_less_eq_bool(hAPP_list_char_bool(U_5262,U_5256)),hAPP_list_char_bool(U_5260,U_5256)))
        | ~ hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(U_5262),U_5260)) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK932]),skolemize(U_5257,sK932(U_5263,U_5261))],[f_972_3]) ).

cnf(f_972_5,plain,
    ( hBOOL(hAPP_bool_bool(ord_less_eq_bool(hAPP_list_char_bool(U_5262,U_5256)),hAPP_list_char_bool(U_5260,U_5256)))
    | ~ hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(U_5262),U_5260)) ),
    inference(clausify,[status(thm)],[f_972_4]) ).

cnf(f_972_6,plain,
    ( hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(U_5263),U_5261))
    | ~ hBOOL(hAPP_bool_bool(ord_less_eq_bool(hAPP_list_char_bool(U_5263,sK932(U_5263,U_5261))),hAPP_list_char_bool(U_5261,sK932(U_5263,U_5261)))) ),
    inference(clausify,[status(thm)],[f_972_4]) ).

fof(f_973_1,plain,
    ! [Pa] :
      ( hBOOL(wf_pro755087577t_char(wwf_J_mdecl,Pa))
      | ~ hBOOL(wf_pro755087577t_char(wf_J_mdecl,Pa)) ),
    inference(fof_nnf,[status(thm)],[fact_831_wf__prog__wwf__prog]) ).

fof(f_973_2,plain,
    ! [U_5264] :
      ( hBOOL(wf_pro755087577t_char(wwf_J_mdecl,U_5264))
      | ~ hBOOL(wf_pro755087577t_char(wf_J_mdecl,U_5264)) ),
    inference(variable_rename,[status(thm)],[f_973_1]) ).

cnf(f_973_3,plain,
    ( hBOOL(wf_pro755087577t_char(wwf_J_mdecl,U_5264))
    | ~ hBOOL(wf_pro755087577t_char(wf_J_mdecl,U_5264)) ),
    inference(clausify,[status(thm)],[f_973_2]) ).

fof(f_974_1,plain,
    ! [P,C_3,Md] :
      ( hBOOL(hAPP_P1384137393r_bool(hAPP_l2054741776r_bool(hAPP_l2138409430r_bool(wwf_J_mdecl,P),C_3),Md))
      | ~ hBOOL(hAPP_P1384137393r_bool(hAPP_l2054741776r_bool(hAPP_l2138409430r_bool(wf_J_mdecl,P),C_3),Md)) ),
    inference(fof_nnf,[status(thm)],[fact_832_wf__mdecl__wwf__mdecl]) ).

fof(f_974_2,plain,
    ! [U_5267,U_5266,U_5265] :
      ( hBOOL(hAPP_P1384137393r_bool(hAPP_l2054741776r_bool(hAPP_l2138409430r_bool(wwf_J_mdecl,U_5267),U_5266),U_5265))
      | ~ hBOOL(hAPP_P1384137393r_bool(hAPP_l2054741776r_bool(hAPP_l2138409430r_bool(wf_J_mdecl,U_5267),U_5266),U_5265)) ),
    inference(variable_rename,[status(thm)],[f_974_1]) ).

cnf(f_974_3,plain,
    ( hBOOL(hAPP_P1384137393r_bool(hAPP_l2054741776r_bool(hAPP_l2138409430r_bool(wwf_J_mdecl,U_5267),U_5266),U_5265))
    | ~ hBOOL(hAPP_P1384137393r_bool(hAPP_l2054741776r_bool(hAPP_l2138409430r_bool(wf_J_mdecl,U_5267),U_5266),U_5265)) ),
    inference(clausify,[status(thm)],[f_974_2]) ).

fof(f_975_1,plain,
    ! [Eb,Hb,Lb,E_b,H_b,L_b,Pa] :
      ( hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(fv(E_b)),fv(Eb)))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),L_b)))),red(Pa)))
      | ~ hBOOL(wf_pro755087577t_char(wwf_J_mdecl,Pa)) ),
    inference(fof_nnf,[status(thm)],[fact_833_Red__fv]) ).

fof(f_975_2,plain,
    ! [U_5274,U_5273,U_5272,U_5271,U_5270,U_5269,U_5268] :
      ( hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(fv(U_5271)),fv(U_5274)))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_5274),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_5273),U_5272))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_5271),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_5270),U_5269)))),red(U_5268)))
      | ~ hBOOL(wf_pro755087577t_char(wwf_J_mdecl,U_5268)) ),
    inference(variable_rename,[status(thm)],[f_975_1]) ).

cnf(f_975_3,plain,
    ( hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(fv(U_5271)),fv(U_5274)))
    | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_5274),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_5273),U_5272))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_5271),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_5270),U_5269)))),red(U_5268)))
    | ~ hBOOL(wf_pro755087577t_char(wwf_J_mdecl,U_5268)) ),
    inference(clausify,[status(thm)],[f_975_2]) ).

fof(f_976_1,plain,
    ! [A,B,R_1] :
      ( ? [Y_1] :
          ( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,Y_1),B)),R_1))
          & hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A),Y_1)),transi374442731on_val(R_1))) )
      | A = B
      | ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A),B)),transi374442731on_val(R_1))) ),
    inference(fof_nnf,[status(thm)],[fact_834_rtranclE]) ).

fof(f_976_2,plain,
    ! [U_5278,U_5277,U_5276] :
      ( ? [U_5275] :
          ( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_5275),U_5277)),U_5276))
          & hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_5278),U_5275)),transi374442731on_val(U_5276))) )
      | U_5278 = U_5277
      | ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_5278),U_5277)),transi374442731on_val(U_5276))) ),
    inference(variable_rename,[status(thm)],[f_976_1]) ).

fof(f_976_3,plain,
    ! [U_5278,U_5277,U_5276] :
      ( ( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,sK933(U_5278,U_5277,U_5276)),U_5277)),U_5276))
        & hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_5278),sK933(U_5278,U_5277,U_5276))),transi374442731on_val(U_5276))) )
      | U_5278 = U_5277
      | ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_5278),U_5277)),transi374442731on_val(U_5276))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK933]),skolemize(U_5275,sK933(U_5278,U_5277,U_5276))],[f_976_2]) ).

cnf(f_976_4,plain,
    ( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_5278),sK933(U_5278,U_5277,U_5276))),transi374442731on_val(U_5276)))
    | U_5278 = U_5277
    | ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_5278),U_5277)),transi374442731on_val(U_5276))) ),
    inference(clausify,[status(thm)],[f_976_3]) ).

cnf(f_976_5,plain,
    ( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,sK933(U_5278,U_5277,U_5276)),U_5277)),U_5276))
    | U_5278 = U_5277
    | ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_5278),U_5277)),transi374442731on_val(U_5276))) ),
    inference(clausify,[status(thm)],[f_976_3]) ).

fof(f_977_1,plain,
    ! [A,B,R_1] :
      ( ? [Y_1] :
          ( hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,Y_1),B)),R_1))
          & hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A),Y_1)),transi1395422419t_char(R_1))) )
      | A = B
      | ~ hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A),B)),transi1395422419t_char(R_1))) ),
    inference(fof_nnf,[status(thm)],[fact_835_rtranclE]) ).

fof(f_977_2,plain,
    ! [U_5282,U_5281,U_5280] :
      ( ? [U_5279] :
          ( hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_5279),U_5281)),U_5280))
          & hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_5282),U_5279)),transi1395422419t_char(U_5280))) )
      | U_5282 = U_5281
      | ~ hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_5282),U_5281)),transi1395422419t_char(U_5280))) ),
    inference(variable_rename,[status(thm)],[f_977_1]) ).

fof(f_977_3,plain,
    ! [U_5282,U_5281,U_5280] :
      ( ( hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,sK934(U_5282,U_5281,U_5280)),U_5281)),U_5280))
        & hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_5282),sK934(U_5282,U_5281,U_5280))),transi1395422419t_char(U_5280))) )
      | U_5282 = U_5281
      | ~ hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_5282),U_5281)),transi1395422419t_char(U_5280))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK934]),skolemize(U_5279,sK934(U_5282,U_5281,U_5280))],[f_977_2]) ).

cnf(f_977_4,plain,
    ( hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_5282),sK934(U_5282,U_5281,U_5280))),transi1395422419t_char(U_5280)))
    | U_5282 = U_5281
    | ~ hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_5282),U_5281)),transi1395422419t_char(U_5280))) ),
    inference(clausify,[status(thm)],[f_977_3]) ).

cnf(f_977_5,plain,
    ( hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,sK934(U_5282,U_5281,U_5280)),U_5281)),U_5280))
    | U_5282 = U_5281
    | ~ hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_5282),U_5281)),transi1395422419t_char(U_5280))) ),
    inference(clausify,[status(thm)],[f_977_3]) ).

fof(f_978_1,plain,
    ! [A,B,R_1] :
      ( ? [Y_1] :
          ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,Y_1),B)),R_1))
          & hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A),Y_1)),transi2024712006on_val(R_1))) )
      | A = B
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A),B)),transi2024712006on_val(R_1))) ),
    inference(fof_nnf,[status(thm)],[fact_836_rtranclE]) ).

fof(f_978_2,plain,
    ! [U_5286,U_5285,U_5284] :
      ( ? [U_5283] :
          ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_5283),U_5285)),U_5284))
          & hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_5286),U_5283)),transi2024712006on_val(U_5284))) )
      | U_5286 = U_5285
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_5286),U_5285)),transi2024712006on_val(U_5284))) ),
    inference(variable_rename,[status(thm)],[f_978_1]) ).

fof(f_978_3,plain,
    ! [U_5286,U_5285,U_5284] :
      ( ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK935(U_5286,U_5285,U_5284)),U_5285)),U_5284))
        & hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_5286),sK935(U_5286,U_5285,U_5284))),transi2024712006on_val(U_5284))) )
      | U_5286 = U_5285
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_5286),U_5285)),transi2024712006on_val(U_5284))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK935]),skolemize(U_5283,sK935(U_5286,U_5285,U_5284))],[f_978_2]) ).

cnf(f_978_4,plain,
    ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_5286),sK935(U_5286,U_5285,U_5284))),transi2024712006on_val(U_5284)))
    | U_5286 = U_5285
    | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_5286),U_5285)),transi2024712006on_val(U_5284))) ),
    inference(clausify,[status(thm)],[f_978_3]) ).

cnf(f_978_5,plain,
    ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK935(U_5286,U_5285,U_5284)),U_5285)),U_5284))
    | U_5286 = U_5285
    | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_5286),U_5285)),transi2024712006on_val(U_5284))) ),
    inference(clausify,[status(thm)],[f_978_3]) ).

fof(f_979_1,plain,
    ! [A,B,R_1] :
      ( ? [Y_1] :
          ( hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,Y_1),B)),R_1))
          & hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A),Y_1)),transi935034983cl_val(R_1))) )
      | A = B
      | ~ hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A),B)),transi935034983cl_val(R_1))) ),
    inference(fof_nnf,[status(thm)],[fact_837_rtranclE]) ).

fof(f_979_2,plain,
    ! [U_5290,U_5289,U_5288] :
      ( ? [U_5287] :
          ( hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_5287),U_5289)),U_5288))
          & hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_5290),U_5287)),transi935034983cl_val(U_5288))) )
      | U_5290 = U_5289
      | ~ hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_5290),U_5289)),transi935034983cl_val(U_5288))) ),
    inference(variable_rename,[status(thm)],[f_979_1]) ).

fof(f_979_3,plain,
    ! [U_5290,U_5289,U_5288] :
      ( ( hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,sK936(U_5290,U_5289,U_5288)),U_5289)),U_5288))
        & hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_5290),sK936(U_5290,U_5289,U_5288))),transi935034983cl_val(U_5288))) )
      | U_5290 = U_5289
      | ~ hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_5290),U_5289)),transi935034983cl_val(U_5288))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK936]),skolemize(U_5287,sK936(U_5290,U_5289,U_5288))],[f_979_2]) ).

cnf(f_979_4,plain,
    ( hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_5290),sK936(U_5290,U_5289,U_5288))),transi935034983cl_val(U_5288)))
    | U_5290 = U_5289
    | ~ hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_5290),U_5289)),transi935034983cl_val(U_5288))) ),
    inference(clausify,[status(thm)],[f_979_3]) ).

cnf(f_979_5,plain,
    ( hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,sK936(U_5290,U_5289,U_5288)),U_5289)),U_5288))
    | U_5290 = U_5289
    | ~ hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_5290),U_5289)),transi935034983cl_val(U_5288))) ),
    inference(clausify,[status(thm)],[f_979_3]) ).

fof(f_980_1,plain,
    ! [X_2,Z_1,R_1] :
      ( ? [Y_1] :
          ( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,Y_1),Z_1)),transi374442731on_val(R_1)))
          & hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,X_2),Y_1)),R_1)) )
      | X_2 = Z_1
      | ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,X_2),Z_1)),transi374442731on_val(R_1))) ),
    inference(fof_nnf,[status(thm)],[fact_838_converse__rtranclE]) ).

fof(f_980_2,plain,
    ! [U_5294,U_5293,U_5292] :
      ( ? [U_5291] :
          ( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_5291),U_5293)),transi374442731on_val(U_5292)))
          & hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_5294),U_5291)),U_5292)) )
      | U_5294 = U_5293
      | ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_5294),U_5293)),transi374442731on_val(U_5292))) ),
    inference(variable_rename,[status(thm)],[f_980_1]) ).

fof(f_980_3,plain,
    ! [U_5294,U_5293,U_5292] :
      ( ( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,sK937(U_5294,U_5293,U_5292)),U_5293)),transi374442731on_val(U_5292)))
        & hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_5294),sK937(U_5294,U_5293,U_5292))),U_5292)) )
      | U_5294 = U_5293
      | ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_5294),U_5293)),transi374442731on_val(U_5292))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK937]),skolemize(U_5291,sK937(U_5294,U_5293,U_5292))],[f_980_2]) ).

cnf(f_980_4,plain,
    ( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_5294),sK937(U_5294,U_5293,U_5292))),U_5292))
    | U_5294 = U_5293
    | ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_5294),U_5293)),transi374442731on_val(U_5292))) ),
    inference(clausify,[status(thm)],[f_980_3]) ).

cnf(f_980_5,plain,
    ( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,sK937(U_5294,U_5293,U_5292)),U_5293)),transi374442731on_val(U_5292)))
    | U_5294 = U_5293
    | ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_5294),U_5293)),transi374442731on_val(U_5292))) ),
    inference(clausify,[status(thm)],[f_980_3]) ).

fof(f_981_1,plain,
    ! [X_2,Z_1,R_1] :
      ( ? [Y_1] :
          ( hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,Y_1),Z_1)),transi1395422419t_char(R_1)))
          & hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,X_2),Y_1)),R_1)) )
      | X_2 = Z_1
      | ~ hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,X_2),Z_1)),transi1395422419t_char(R_1))) ),
    inference(fof_nnf,[status(thm)],[fact_839_converse__rtranclE]) ).

fof(f_981_2,plain,
    ! [U_5298,U_5297,U_5296] :
      ( ? [U_5295] :
          ( hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_5295),U_5297)),transi1395422419t_char(U_5296)))
          & hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_5298),U_5295)),U_5296)) )
      | U_5298 = U_5297
      | ~ hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_5298),U_5297)),transi1395422419t_char(U_5296))) ),
    inference(variable_rename,[status(thm)],[f_981_1]) ).

fof(f_981_3,plain,
    ! [U_5298,U_5297,U_5296] :
      ( ( hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,sK938(U_5298,U_5297,U_5296)),U_5297)),transi1395422419t_char(U_5296)))
        & hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_5298),sK938(U_5298,U_5297,U_5296))),U_5296)) )
      | U_5298 = U_5297
      | ~ hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_5298),U_5297)),transi1395422419t_char(U_5296))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK938]),skolemize(U_5295,sK938(U_5298,U_5297,U_5296))],[f_981_2]) ).

cnf(f_981_4,plain,
    ( hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_5298),sK938(U_5298,U_5297,U_5296))),U_5296))
    | U_5298 = U_5297
    | ~ hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_5298),U_5297)),transi1395422419t_char(U_5296))) ),
    inference(clausify,[status(thm)],[f_981_3]) ).

cnf(f_981_5,plain,
    ( hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,sK938(U_5298,U_5297,U_5296)),U_5297)),transi1395422419t_char(U_5296)))
    | U_5298 = U_5297
    | ~ hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_5298),U_5297)),transi1395422419t_char(U_5296))) ),
    inference(clausify,[status(thm)],[f_981_3]) ).

fof(f_982_1,plain,
    ! [X_2,Z_1,R_1] :
      ( ? [Y_1] :
          ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,Y_1),Z_1)),transi2024712006on_val(R_1)))
          & hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,X_2),Y_1)),R_1)) )
      | X_2 = Z_1
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,X_2),Z_1)),transi2024712006on_val(R_1))) ),
    inference(fof_nnf,[status(thm)],[fact_840_converse__rtranclE]) ).

fof(f_982_2,plain,
    ! [U_5302,U_5301,U_5300] :
      ( ? [U_5299] :
          ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_5299),U_5301)),transi2024712006on_val(U_5300)))
          & hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_5302),U_5299)),U_5300)) )
      | U_5302 = U_5301
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_5302),U_5301)),transi2024712006on_val(U_5300))) ),
    inference(variable_rename,[status(thm)],[f_982_1]) ).

fof(f_982_3,plain,
    ! [U_5302,U_5301,U_5300] :
      ( ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK939(U_5302,U_5301,U_5300)),U_5301)),transi2024712006on_val(U_5300)))
        & hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_5302),sK939(U_5302,U_5301,U_5300))),U_5300)) )
      | U_5302 = U_5301
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_5302),U_5301)),transi2024712006on_val(U_5300))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK939]),skolemize(U_5299,sK939(U_5302,U_5301,U_5300))],[f_982_2]) ).

cnf(f_982_4,plain,
    ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_5302),sK939(U_5302,U_5301,U_5300))),U_5300))
    | U_5302 = U_5301
    | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_5302),U_5301)),transi2024712006on_val(U_5300))) ),
    inference(clausify,[status(thm)],[f_982_3]) ).

cnf(f_982_5,plain,
    ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK939(U_5302,U_5301,U_5300)),U_5301)),transi2024712006on_val(U_5300)))
    | U_5302 = U_5301
    | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_5302),U_5301)),transi2024712006on_val(U_5300))) ),
    inference(clausify,[status(thm)],[f_982_3]) ).

fof(f_983_1,plain,
    ! [X_2,Z_1,R_1] :
      ( ? [Y_1] :
          ( hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,Y_1),Z_1)),transi935034983cl_val(R_1)))
          & hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,X_2),Y_1)),R_1)) )
      | X_2 = Z_1
      | ~ hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,X_2),Z_1)),transi935034983cl_val(R_1))) ),
    inference(fof_nnf,[status(thm)],[fact_841_converse__rtranclE]) ).

fof(f_983_2,plain,
    ! [U_5306,U_5305,U_5304] :
      ( ? [U_5303] :
          ( hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_5303),U_5305)),transi935034983cl_val(U_5304)))
          & hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_5306),U_5303)),U_5304)) )
      | U_5306 = U_5305
      | ~ hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_5306),U_5305)),transi935034983cl_val(U_5304))) ),
    inference(variable_rename,[status(thm)],[f_983_1]) ).

fof(f_983_3,plain,
    ! [U_5306,U_5305,U_5304] :
      ( ( hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,sK940(U_5306,U_5305,U_5304)),U_5305)),transi935034983cl_val(U_5304)))
        & hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_5306),sK940(U_5306,U_5305,U_5304))),U_5304)) )
      | U_5306 = U_5305
      | ~ hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_5306),U_5305)),transi935034983cl_val(U_5304))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK940]),skolemize(U_5303,sK940(U_5306,U_5305,U_5304))],[f_983_2]) ).

cnf(f_983_4,plain,
    ( hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_5306),sK940(U_5306,U_5305,U_5304))),U_5304))
    | U_5306 = U_5305
    | ~ hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_5306),U_5305)),transi935034983cl_val(U_5304))) ),
    inference(clausify,[status(thm)],[f_983_3]) ).

cnf(f_983_5,plain,
    ( hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,sK940(U_5306,U_5305,U_5304)),U_5305)),transi935034983cl_val(U_5304)))
    | U_5306 = U_5305
    | ~ hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_5306),U_5305)),transi935034983cl_val(U_5304))) ),
    inference(clausify,[status(thm)],[f_983_3]) ).

fof(f_984_1,plain,
    ! [Pa,A,B,R_1] :
      ( hBOOL(hAPP_P71593144l_bool(Pa,A))
      | ? [Y_1,Z] :
          ( ~ hBOOL(hAPP_P71593144l_bool(Pa,Y_1))
          & hBOOL(hAPP_P71593144l_bool(Pa,Z))
          & hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,Z),B)),transi374442731on_val(R_1)))
          & hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,Y_1),Z)),R_1)) )
      | ~ hBOOL(hAPP_P71593144l_bool(Pa,B))
      | ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A),B)),transi374442731on_val(R_1))) ),
    inference(fof_nnf,[status(thm)],[fact_842_converse__rtrancl__induct]) ).

fof(f_984_2,plain,
    ! [U_5312,U_5311,U_5310,U_5309] :
      ( hBOOL(hAPP_P71593144l_bool(U_5312,U_5311))
      | ? [U_5308,U_5307] :
          ( ~ hBOOL(hAPP_P71593144l_bool(U_5312,U_5308))
          & hBOOL(hAPP_P71593144l_bool(U_5312,U_5307))
          & hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_5307),U_5310)),transi374442731on_val(U_5309)))
          & hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_5308),U_5307)),U_5309)) )
      | ~ hBOOL(hAPP_P71593144l_bool(U_5312,U_5310))
      | ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_5311),U_5310)),transi374442731on_val(U_5309))) ),
    inference(variable_rename,[status(thm)],[f_984_1]) ).

fof(f_984_3,plain,
    ! [U_5312,U_5311,U_5310,U_5309] :
      ( hBOOL(hAPP_P71593144l_bool(U_5312,U_5311))
      | ? [U_5307] :
          ( ~ hBOOL(hAPP_P71593144l_bool(U_5312,sK941(U_5312,U_5311,U_5310,U_5309)))
          & hBOOL(hAPP_P71593144l_bool(U_5312,U_5307))
          & hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_5307),U_5310)),transi374442731on_val(U_5309)))
          & hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,sK941(U_5312,U_5311,U_5310,U_5309)),U_5307)),U_5309)) )
      | ~ hBOOL(hAPP_P71593144l_bool(U_5312,U_5310))
      | ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_5311),U_5310)),transi374442731on_val(U_5309))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK941]),skolemize(U_5308,sK941(U_5312,U_5311,U_5310,U_5309))],[f_984_2]) ).

fof(f_984_4,plain,
    ! [U_5312,U_5311,U_5310,U_5309] :
      ( hBOOL(hAPP_P71593144l_bool(U_5312,U_5311))
      | ( ~ hBOOL(hAPP_P71593144l_bool(U_5312,sK941(U_5312,U_5311,U_5310,U_5309)))
        & hBOOL(hAPP_P71593144l_bool(U_5312,sK942(U_5312,U_5311,U_5310,U_5309)))
        & hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,sK942(U_5312,U_5311,U_5310,U_5309)),U_5310)),transi374442731on_val(U_5309)))
        & hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,sK941(U_5312,U_5311,U_5310,U_5309)),sK942(U_5312,U_5311,U_5310,U_5309))),U_5309)) )
      | ~ hBOOL(hAPP_P71593144l_bool(U_5312,U_5310))
      | ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_5311),U_5310)),transi374442731on_val(U_5309))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK942]),skolemize(U_5307,sK942(U_5312,U_5311,U_5310,U_5309))],[f_984_3]) ).

cnf(f_984_5,plain,
    ( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,sK941(U_5312,U_5311,U_5310,U_5309)),sK942(U_5312,U_5311,U_5310,U_5309))),U_5309))
    | hBOOL(hAPP_P71593144l_bool(U_5312,U_5311))
    | ~ hBOOL(hAPP_P71593144l_bool(U_5312,U_5310))
    | ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_5311),U_5310)),transi374442731on_val(U_5309))) ),
    inference(clausify,[status(thm)],[f_984_4]) ).

cnf(f_984_6,plain,
    ( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,sK942(U_5312,U_5311,U_5310,U_5309)),U_5310)),transi374442731on_val(U_5309)))
    | hBOOL(hAPP_P71593144l_bool(U_5312,U_5311))
    | ~ hBOOL(hAPP_P71593144l_bool(U_5312,U_5310))
    | ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_5311),U_5310)),transi374442731on_val(U_5309))) ),
    inference(clausify,[status(thm)],[f_984_4]) ).

cnf(f_984_7,plain,
    ( hBOOL(hAPP_P71593144l_bool(U_5312,sK942(U_5312,U_5311,U_5310,U_5309)))
    | hBOOL(hAPP_P71593144l_bool(U_5312,U_5311))
    | ~ hBOOL(hAPP_P71593144l_bool(U_5312,U_5310))
    | ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_5311),U_5310)),transi374442731on_val(U_5309))) ),
    inference(clausify,[status(thm)],[f_984_4]) ).

cnf(f_984_8,plain,
    ( ~ hBOOL(hAPP_P71593144l_bool(U_5312,sK941(U_5312,U_5311,U_5310,U_5309)))
    | hBOOL(hAPP_P71593144l_bool(U_5312,U_5311))
    | ~ hBOOL(hAPP_P71593144l_bool(U_5312,U_5310))
    | ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,U_5311),U_5310)),transi374442731on_val(U_5309))) ),
    inference(clausify,[status(thm)],[f_984_4]) ).

fof(f_985_1,plain,
    ! [Pa,A,B,R_1] :
      ( hBOOL(hAPP_list_char_bool(Pa,A))
      | ? [Y_1,Z] :
          ( ~ hBOOL(hAPP_list_char_bool(Pa,Y_1))
          & hBOOL(hAPP_list_char_bool(Pa,Z))
          & hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,Z),B)),transi1395422419t_char(R_1)))
          & hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,Y_1),Z)),R_1)) )
      | ~ hBOOL(hAPP_list_char_bool(Pa,B))
      | ~ hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A),B)),transi1395422419t_char(R_1))) ),
    inference(fof_nnf,[status(thm)],[fact_843_converse__rtrancl__induct]) ).

fof(f_985_2,plain,
    ! [U_5318,U_5317,U_5316,U_5315] :
      ( hBOOL(hAPP_list_char_bool(U_5318,U_5317))
      | ? [U_5314,U_5313] :
          ( ~ hBOOL(hAPP_list_char_bool(U_5318,U_5314))
          & hBOOL(hAPP_list_char_bool(U_5318,U_5313))
          & hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_5313),U_5316)),transi1395422419t_char(U_5315)))
          & hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_5314),U_5313)),U_5315)) )
      | ~ hBOOL(hAPP_list_char_bool(U_5318,U_5316))
      | ~ hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_5317),U_5316)),transi1395422419t_char(U_5315))) ),
    inference(variable_rename,[status(thm)],[f_985_1]) ).

fof(f_985_3,plain,
    ! [U_5318,U_5317,U_5316,U_5315] :
      ( hBOOL(hAPP_list_char_bool(U_5318,U_5317))
      | ? [U_5313] :
          ( ~ hBOOL(hAPP_list_char_bool(U_5318,sK943(U_5318,U_5317,U_5316,U_5315)))
          & hBOOL(hAPP_list_char_bool(U_5318,U_5313))
          & hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_5313),U_5316)),transi1395422419t_char(U_5315)))
          & hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,sK943(U_5318,U_5317,U_5316,U_5315)),U_5313)),U_5315)) )
      | ~ hBOOL(hAPP_list_char_bool(U_5318,U_5316))
      | ~ hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_5317),U_5316)),transi1395422419t_char(U_5315))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK943]),skolemize(U_5314,sK943(U_5318,U_5317,U_5316,U_5315))],[f_985_2]) ).

fof(f_985_4,plain,
    ! [U_5318,U_5317,U_5316,U_5315] :
      ( hBOOL(hAPP_list_char_bool(U_5318,U_5317))
      | ( ~ hBOOL(hAPP_list_char_bool(U_5318,sK943(U_5318,U_5317,U_5316,U_5315)))
        & hBOOL(hAPP_list_char_bool(U_5318,sK944(U_5318,U_5317,U_5316,U_5315)))
        & hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,sK944(U_5318,U_5317,U_5316,U_5315)),U_5316)),transi1395422419t_char(U_5315)))
        & hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,sK943(U_5318,U_5317,U_5316,U_5315)),sK944(U_5318,U_5317,U_5316,U_5315))),U_5315)) )
      | ~ hBOOL(hAPP_list_char_bool(U_5318,U_5316))
      | ~ hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_5317),U_5316)),transi1395422419t_char(U_5315))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK944]),skolemize(U_5313,sK944(U_5318,U_5317,U_5316,U_5315))],[f_985_3]) ).

cnf(f_985_5,plain,
    ( hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,sK943(U_5318,U_5317,U_5316,U_5315)),sK944(U_5318,U_5317,U_5316,U_5315))),U_5315))
    | hBOOL(hAPP_list_char_bool(U_5318,U_5317))
    | ~ hBOOL(hAPP_list_char_bool(U_5318,U_5316))
    | ~ hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_5317),U_5316)),transi1395422419t_char(U_5315))) ),
    inference(clausify,[status(thm)],[f_985_4]) ).

cnf(f_985_6,plain,
    ( hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,sK944(U_5318,U_5317,U_5316,U_5315)),U_5316)),transi1395422419t_char(U_5315)))
    | hBOOL(hAPP_list_char_bool(U_5318,U_5317))
    | ~ hBOOL(hAPP_list_char_bool(U_5318,U_5316))
    | ~ hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_5317),U_5316)),transi1395422419t_char(U_5315))) ),
    inference(clausify,[status(thm)],[f_985_4]) ).

cnf(f_985_7,plain,
    ( hBOOL(hAPP_list_char_bool(U_5318,sK944(U_5318,U_5317,U_5316,U_5315)))
    | hBOOL(hAPP_list_char_bool(U_5318,U_5317))
    | ~ hBOOL(hAPP_list_char_bool(U_5318,U_5316))
    | ~ hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_5317),U_5316)),transi1395422419t_char(U_5315))) ),
    inference(clausify,[status(thm)],[f_985_4]) ).

cnf(f_985_8,plain,
    ( ~ hBOOL(hAPP_list_char_bool(U_5318,sK943(U_5318,U_5317,U_5316,U_5315)))
    | hBOOL(hAPP_list_char_bool(U_5318,U_5317))
    | ~ hBOOL(hAPP_list_char_bool(U_5318,U_5316))
    | ~ hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_5317),U_5316)),transi1395422419t_char(U_5315))) ),
    inference(clausify,[status(thm)],[f_985_4]) ).

fof(f_986_1,plain,
    ! [Pa,A,B,R_1] :
      ( hBOOL(hAPP_P1708370145l_bool(Pa,A))
      | ? [Y_1,Z] :
          ( ~ hBOOL(hAPP_P1708370145l_bool(Pa,Y_1))
          & hBOOL(hAPP_P1708370145l_bool(Pa,Z))
          & hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,Z),B)),transi2024712006on_val(R_1)))
          & hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,Y_1),Z)),R_1)) )
      | ~ hBOOL(hAPP_P1708370145l_bool(Pa,B))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A),B)),transi2024712006on_val(R_1))) ),
    inference(fof_nnf,[status(thm)],[fact_844_converse__rtrancl__induct]) ).

fof(f_986_2,plain,
    ! [U_5324,U_5323,U_5322,U_5321] :
      ( hBOOL(hAPP_P1708370145l_bool(U_5324,U_5323))
      | ? [U_5320,U_5319] :
          ( ~ hBOOL(hAPP_P1708370145l_bool(U_5324,U_5320))
          & hBOOL(hAPP_P1708370145l_bool(U_5324,U_5319))
          & hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_5319),U_5322)),transi2024712006on_val(U_5321)))
          & hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_5320),U_5319)),U_5321)) )
      | ~ hBOOL(hAPP_P1708370145l_bool(U_5324,U_5322))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_5323),U_5322)),transi2024712006on_val(U_5321))) ),
    inference(variable_rename,[status(thm)],[f_986_1]) ).

fof(f_986_3,plain,
    ! [U_5324,U_5323,U_5322,U_5321] :
      ( hBOOL(hAPP_P1708370145l_bool(U_5324,U_5323))
      | ? [U_5319] :
          ( ~ hBOOL(hAPP_P1708370145l_bool(U_5324,sK945(U_5324,U_5323,U_5322,U_5321)))
          & hBOOL(hAPP_P1708370145l_bool(U_5324,U_5319))
          & hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_5319),U_5322)),transi2024712006on_val(U_5321)))
          & hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK945(U_5324,U_5323,U_5322,U_5321)),U_5319)),U_5321)) )
      | ~ hBOOL(hAPP_P1708370145l_bool(U_5324,U_5322))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_5323),U_5322)),transi2024712006on_val(U_5321))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK945]),skolemize(U_5320,sK945(U_5324,U_5323,U_5322,U_5321))],[f_986_2]) ).

fof(f_986_4,plain,
    ! [U_5324,U_5323,U_5322,U_5321] :
      ( hBOOL(hAPP_P1708370145l_bool(U_5324,U_5323))
      | ( ~ hBOOL(hAPP_P1708370145l_bool(U_5324,sK945(U_5324,U_5323,U_5322,U_5321)))
        & hBOOL(hAPP_P1708370145l_bool(U_5324,sK946(U_5324,U_5323,U_5322,U_5321)))
        & hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK946(U_5324,U_5323,U_5322,U_5321)),U_5322)),transi2024712006on_val(U_5321)))
        & hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK945(U_5324,U_5323,U_5322,U_5321)),sK946(U_5324,U_5323,U_5322,U_5321))),U_5321)) )
      | ~ hBOOL(hAPP_P1708370145l_bool(U_5324,U_5322))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_5323),U_5322)),transi2024712006on_val(U_5321))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK946]),skolemize(U_5319,sK946(U_5324,U_5323,U_5322,U_5321))],[f_986_3]) ).

cnf(f_986_5,plain,
    ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK945(U_5324,U_5323,U_5322,U_5321)),sK946(U_5324,U_5323,U_5322,U_5321))),U_5321))
    | hBOOL(hAPP_P1708370145l_bool(U_5324,U_5323))
    | ~ hBOOL(hAPP_P1708370145l_bool(U_5324,U_5322))
    | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_5323),U_5322)),transi2024712006on_val(U_5321))) ),
    inference(clausify,[status(thm)],[f_986_4]) ).

cnf(f_986_6,plain,
    ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,sK946(U_5324,U_5323,U_5322,U_5321)),U_5322)),transi2024712006on_val(U_5321)))
    | hBOOL(hAPP_P1708370145l_bool(U_5324,U_5323))
    | ~ hBOOL(hAPP_P1708370145l_bool(U_5324,U_5322))
    | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_5323),U_5322)),transi2024712006on_val(U_5321))) ),
    inference(clausify,[status(thm)],[f_986_4]) ).

cnf(f_986_7,plain,
    ( hBOOL(hAPP_P1708370145l_bool(U_5324,sK946(U_5324,U_5323,U_5322,U_5321)))
    | hBOOL(hAPP_P1708370145l_bool(U_5324,U_5323))
    | ~ hBOOL(hAPP_P1708370145l_bool(U_5324,U_5322))
    | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_5323),U_5322)),transi2024712006on_val(U_5321))) ),
    inference(clausify,[status(thm)],[f_986_4]) ).

cnf(f_986_8,plain,
    ( ~ hBOOL(hAPP_P1708370145l_bool(U_5324,sK945(U_5324,U_5323,U_5322,U_5321)))
    | hBOOL(hAPP_P1708370145l_bool(U_5324,U_5323))
    | ~ hBOOL(hAPP_P1708370145l_bool(U_5324,U_5322))
    | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,U_5323),U_5322)),transi2024712006on_val(U_5321))) ),
    inference(clausify,[status(thm)],[f_986_4]) ).

fof(f_987_1,plain,
    ! [Pa,A,B,R_1] :
      ( hBOOL(hAPP_val_bool(Pa,A))
      | ? [Y_1,Z] :
          ( ~ hBOOL(hAPP_val_bool(Pa,Y_1))
          & hBOOL(hAPP_val_bool(Pa,Z))
          & hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,Z),B)),transi935034983cl_val(R_1)))
          & hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,Y_1),Z)),R_1)) )
      | ~ hBOOL(hAPP_val_bool(Pa,B))
      | ~ hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A),B)),transi935034983cl_val(R_1))) ),
    inference(fof_nnf,[status(thm)],[fact_845_converse__rtrancl__induct]) ).

fof(f_987_2,plain,
    ! [U_5330,U_5329,U_5328,U_5327] :
      ( hBOOL(hAPP_val_bool(U_5330,U_5329))
      | ? [U_5326,U_5325] :
          ( ~ hBOOL(hAPP_val_bool(U_5330,U_5326))
          & hBOOL(hAPP_val_bool(U_5330,U_5325))
          & hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_5325),U_5328)),transi935034983cl_val(U_5327)))
          & hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_5326),U_5325)),U_5327)) )
      | ~ hBOOL(hAPP_val_bool(U_5330,U_5328))
      | ~ hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_5329),U_5328)),transi935034983cl_val(U_5327))) ),
    inference(variable_rename,[status(thm)],[f_987_1]) ).

fof(f_987_3,plain,
    ! [U_5330,U_5329,U_5328,U_5327] :
      ( hBOOL(hAPP_val_bool(U_5330,U_5329))
      | ? [U_5325] :
          ( ~ hBOOL(hAPP_val_bool(U_5330,sK947(U_5330,U_5329,U_5328,U_5327)))
          & hBOOL(hAPP_val_bool(U_5330,U_5325))
          & hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_5325),U_5328)),transi935034983cl_val(U_5327)))
          & hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,sK947(U_5330,U_5329,U_5328,U_5327)),U_5325)),U_5327)) )
      | ~ hBOOL(hAPP_val_bool(U_5330,U_5328))
      | ~ hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_5329),U_5328)),transi935034983cl_val(U_5327))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK947]),skolemize(U_5326,sK947(U_5330,U_5329,U_5328,U_5327))],[f_987_2]) ).

fof(f_987_4,plain,
    ! [U_5330,U_5329,U_5328,U_5327] :
      ( hBOOL(hAPP_val_bool(U_5330,U_5329))
      | ( ~ hBOOL(hAPP_val_bool(U_5330,sK947(U_5330,U_5329,U_5328,U_5327)))
        & hBOOL(hAPP_val_bool(U_5330,sK948(U_5330,U_5329,U_5328,U_5327)))
        & hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,sK948(U_5330,U_5329,U_5328,U_5327)),U_5328)),transi935034983cl_val(U_5327)))
        & hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,sK947(U_5330,U_5329,U_5328,U_5327)),sK948(U_5330,U_5329,U_5328,U_5327))),U_5327)) )
      | ~ hBOOL(hAPP_val_bool(U_5330,U_5328))
      | ~ hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_5329),U_5328)),transi935034983cl_val(U_5327))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK948]),skolemize(U_5325,sK948(U_5330,U_5329,U_5328,U_5327))],[f_987_3]) ).

cnf(f_987_5,plain,
    ( hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,sK947(U_5330,U_5329,U_5328,U_5327)),sK948(U_5330,U_5329,U_5328,U_5327))),U_5327))
    | hBOOL(hAPP_val_bool(U_5330,U_5329))
    | ~ hBOOL(hAPP_val_bool(U_5330,U_5328))
    | ~ hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_5329),U_5328)),transi935034983cl_val(U_5327))) ),
    inference(clausify,[status(thm)],[f_987_4]) ).

cnf(f_987_6,plain,
    ( hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,sK948(U_5330,U_5329,U_5328,U_5327)),U_5328)),transi935034983cl_val(U_5327)))
    | hBOOL(hAPP_val_bool(U_5330,U_5329))
    | ~ hBOOL(hAPP_val_bool(U_5330,U_5328))
    | ~ hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_5329),U_5328)),transi935034983cl_val(U_5327))) ),
    inference(clausify,[status(thm)],[f_987_4]) ).

cnf(f_987_7,plain,
    ( hBOOL(hAPP_val_bool(U_5330,sK948(U_5330,U_5329,U_5328,U_5327)))
    | hBOOL(hAPP_val_bool(U_5330,U_5329))
    | ~ hBOOL(hAPP_val_bool(U_5330,U_5328))
    | ~ hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_5329),U_5328)),transi935034983cl_val(U_5327))) ),
    inference(clausify,[status(thm)],[f_987_4]) ).

cnf(f_987_8,plain,
    ( ~ hBOOL(hAPP_val_bool(U_5330,sK947(U_5330,U_5329,U_5328,U_5327)))
    | hBOOL(hAPP_val_bool(U_5330,U_5329))
    | ~ hBOOL(hAPP_val_bool(U_5330,U_5328))
    | ~ hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_5329),U_5328)),transi935034983cl_val(U_5327))) ),
    inference(clausify,[status(thm)],[f_987_4]) ).

fof(f_988_1,plain,
    ! [F_1,G] :
      ( hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(F_1),G))
      | ? [X_1] : ~ hBOOL(hAPP_bool_bool(ord_less_eq_bool(hAPP_list_char_bool(F_1,X_1)),hAPP_list_char_bool(G,X_1))) ),
    inference(fof_nnf,[status(thm)],[fact_846_le__funI]) ).

fof(f_988_2,plain,
    ! [U_5333,U_5332] :
      ( hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(U_5333),U_5332))
      | ? [U_5331] : ~ hBOOL(hAPP_bool_bool(ord_less_eq_bool(hAPP_list_char_bool(U_5333,U_5331)),hAPP_list_char_bool(U_5332,U_5331))) ),
    inference(variable_rename,[status(thm)],[f_988_1]) ).

fof(f_988_3,plain,
    ! [U_5333,U_5332] :
      ( hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(U_5333),U_5332))
      | ~ hBOOL(hAPP_bool_bool(ord_less_eq_bool(hAPP_list_char_bool(U_5333,sK949(U_5333,U_5332))),hAPP_list_char_bool(U_5332,sK949(U_5333,U_5332)))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK949]),skolemize(U_5331,sK949(U_5333,U_5332))],[f_988_2]) ).

cnf(f_988_4,plain,
    ( hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(U_5333),U_5332))
    | ~ hBOOL(hAPP_bool_bool(ord_less_eq_bool(hAPP_list_char_bool(U_5333,sK949(U_5333,U_5332))),hAPP_list_char_bool(U_5332,sK949(U_5333,U_5332)))) ),
    inference(clausify,[status(thm)],[f_988_3]) ).

fof(f_989_1,plain,
    ! [Eb,S,E_b,S_2,Pa] :
      ( ( ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S),E_b),S_2))
          | ~ hBOOL(final_list_char(E_b))
          | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_2))),transi2024712006on_val(red(Pa)))) )
        & ( ( hBOOL(final_list_char(E_b))
            & hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_2))),transi2024712006on_val(red(Pa)))) )
          | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S),E_b),S_2)) ) )
      | ~ hBOOL(wf_pro755087577t_char(wwf_J_mdecl,Pa)) ),
    inference(fof_nnf,[status(thm)],[fact_847_big__iff__small]) ).

fof(f_989_2,plain,
    ! [U_5338,U_5337,U_5336,U_5335,U_5334] :
      ( ( ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_5334,U_5338,U_5337),U_5336),U_5335))
          | ~ hBOOL(final_list_char(U_5336))
          | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_5338),U_5337)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_5336),U_5335))),transi2024712006on_val(red(U_5334)))) )
        & ( ( hBOOL(final_list_char(U_5336))
            & hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_5338),U_5337)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_5336),U_5335))),transi2024712006on_val(red(U_5334)))) )
          | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_5334,U_5338,U_5337),U_5336),U_5335)) ) )
      | ~ hBOOL(wf_pro755087577t_char(wwf_J_mdecl,U_5334)) ),
    inference(variable_rename,[status(thm)],[f_989_1]) ).

cnf(f_989_3,plain,
    ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_5338),U_5337)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_5336),U_5335))),transi2024712006on_val(red(U_5334))))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_5334,U_5338,U_5337),U_5336),U_5335))
    | ~ hBOOL(wf_pro755087577t_char(wwf_J_mdecl,U_5334)) ),
    inference(clausify,[status(thm)],[f_989_2]) ).

cnf(f_989_4,plain,
    ( hBOOL(final_list_char(U_5336))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_5334,U_5338,U_5337),U_5336),U_5335))
    | ~ hBOOL(wf_pro755087577t_char(wwf_J_mdecl,U_5334)) ),
    inference(clausify,[status(thm)],[f_989_2]) ).

cnf(f_989_5,plain,
    ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_5334,U_5338,U_5337),U_5336),U_5335))
    | ~ hBOOL(final_list_char(U_5336))
    | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_5338),U_5337)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_5336),U_5335))),transi2024712006on_val(red(U_5334))))
    | ~ hBOOL(wf_pro755087577t_char(wwf_J_mdecl,U_5334)) ),
    inference(clausify,[status(thm)],[f_989_2]) ).

fof(f_990_1,plain,
    ! [Va_1,Pa,Eb,Hb,Lb,E_b,H_b,L_b] :
      ( hAPP_l207779698on_val(L_b,Va_1) = hAPP_l207779698on_val(Lb,Va_1)
      | hBOOL(hAPP_f986089162l_bool(hAPP_l1903254203l_bool(member_list_char,Va_1),fv(Eb)))
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb)),E_b),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),L_b))) ),
    inference(fof_nnf,[status(thm)],[fact_848_eval__notfree__unchanged]) ).

fof(f_990_2,plain,
    ! [U_5346,U_5345,U_5344,U_5343,U_5342,U_5341,U_5340,U_5339] :
      ( hAPP_l207779698on_val(U_5339,U_5346) = hAPP_l207779698on_val(U_5342,U_5346)
      | hBOOL(hAPP_f986089162l_bool(hAPP_l1903254203l_bool(member_list_char,U_5346),fv(U_5344)))
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_5345,U_5344,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_5343),U_5342)),U_5341),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_5340),U_5339))) ),
    inference(variable_rename,[status(thm)],[f_990_1]) ).

cnf(f_990_3,plain,
    ( hAPP_l207779698on_val(U_5339,U_5346) = hAPP_l207779698on_val(U_5342,U_5346)
    | hBOOL(hAPP_f986089162l_bool(hAPP_l1903254203l_bool(member_list_char,U_5346),fv(U_5344)))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_5345,U_5344,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_5343),U_5342)),U_5341),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_5340),U_5339))) ),
    inference(clausify,[status(thm)],[f_990_2]) ).

fof(f_991_1,plain,
    ! [E_b,S_2,Eb,S,E_5,S_3,Pa] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S),E_b),S_2))
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_5,S_3),E_b),S_2))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_5),S_3))),red(Pa)))
      | ~ hBOOL(wf_pro755087577t_char(wwf_J_mdecl,Pa)) ),
    inference(fof_nnf,[status(thm)],[fact_849_extend__1__eval]) ).

fof(f_991_2,plain,
    ! [U_5353,U_5352,U_5351,U_5350,U_5349,U_5348,U_5347] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_5347,U_5351,U_5350),U_5353),U_5352))
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_5347,U_5349,U_5348),U_5353),U_5352))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_5351),U_5350)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_5349),U_5348))),red(U_5347)))
      | ~ hBOOL(wf_pro755087577t_char(wwf_J_mdecl,U_5347)) ),
    inference(variable_rename,[status(thm)],[f_991_1]) ).

cnf(f_991_3,plain,
    ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_5347,U_5351,U_5350),U_5353),U_5352))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_5347,U_5349,U_5348),U_5353),U_5352))
    | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_5351),U_5350)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_5349),U_5348))),red(U_5347)))
    | ~ hBOOL(wf_pro755087577t_char(wwf_J_mdecl,U_5347)) ),
    inference(clausify,[status(thm)],[f_991_2]) ).

fof(f_992_1,plain,
    ! [Eb,S,E_b,S_2,Pa] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_2))),transi2024712006on_val(red(Pa))))
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S),E_b),S_2))
      | ~ hBOOL(wf_pro755087577t_char(wwf_J_mdecl,Pa)) ),
    inference(fof_nnf,[status(thm)],[fact_850_big__by__small]) ).

fof(f_992_2,plain,
    ! [U_5358,U_5357,U_5356,U_5355,U_5354] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_5358),U_5357)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_5356),U_5355))),transi2024712006on_val(red(U_5354))))
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_5354,U_5358,U_5357),U_5356),U_5355))
      | ~ hBOOL(wf_pro755087577t_char(wwf_J_mdecl,U_5354)) ),
    inference(variable_rename,[status(thm)],[f_992_1]) ).

cnf(f_992_3,plain,
    ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_5358),U_5357)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_5356),U_5355))),transi2024712006on_val(red(U_5354))))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_5354,U_5358,U_5357),U_5356),U_5355))
    | ~ hBOOL(wf_pro755087577t_char(wwf_J_mdecl,U_5354)) ),
    inference(clausify,[status(thm)],[f_992_2]) ).

fof(f_993_1,plain,
    ! [E_b,S_2,Eb,S,E_5,S_3,Pa] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S),E_b),S_2))
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_5,S_3),E_b),S_2))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_5),S_3))),transi2024712006on_val(red(Pa))))
      | ~ hBOOL(wf_pro755087577t_char(wwf_J_mdecl,Pa)) ),
    inference(fof_nnf,[status(thm)],[fact_851_extend__eval]) ).

fof(f_993_2,plain,
    ! [U_5365,U_5364,U_5363,U_5362,U_5361,U_5360,U_5359] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_5359,U_5363,U_5362),U_5365),U_5364))
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_5359,U_5361,U_5360),U_5365),U_5364))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_5363),U_5362)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_5361),U_5360))),transi2024712006on_val(red(U_5359))))
      | ~ hBOOL(wf_pro755087577t_char(wwf_J_mdecl,U_5359)) ),
    inference(variable_rename,[status(thm)],[f_993_1]) ).

cnf(f_993_3,plain,
    ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_5359,U_5363,U_5362),U_5365),U_5364))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_5359,U_5361,U_5360),U_5365),U_5364))
    | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_5363),U_5362)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_5361),U_5360))),transi2024712006on_val(red(U_5359))))
    | ~ hBOOL(wf_pro755087577t_char(wwf_J_mdecl,U_5359)) ),
    inference(clausify,[status(thm)],[f_993_2]) ).

fof(f_994_1,plain,
    ! [Eb,S,E_b,S_2,Pa] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S),E_b),S_2))
      | ~ hBOOL(final_list_char(E_b))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_2))),transi2024712006on_val(red(Pa))))
      | ~ hBOOL(wf_pro755087577t_char(wwf_J_mdecl,Pa)) ),
    inference(fof_nnf,[status(thm)],[fact_852_small__by__big]) ).

fof(f_994_2,plain,
    ! [U_5370,U_5369,U_5368,U_5367,U_5366] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_5366,U_5370,U_5369),U_5368),U_5367))
      | ~ hBOOL(final_list_char(U_5368))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_5370),U_5369)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_5368),U_5367))),transi2024712006on_val(red(U_5366))))
      | ~ hBOOL(wf_pro755087577t_char(wwf_J_mdecl,U_5366)) ),
    inference(variable_rename,[status(thm)],[f_994_1]) ).

cnf(f_994_3,plain,
    ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_5366,U_5370,U_5369),U_5368),U_5367))
    | ~ hBOOL(final_list_char(U_5368))
    | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_5370),U_5369)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_5368),U_5367))),transi2024712006on_val(red(U_5366))))
    | ~ hBOOL(wf_pro755087577t_char(wwf_J_mdecl,U_5366)) ),
    inference(clausify,[status(thm)],[f_994_2]) ).

fof(f_995_1,plain,
    ! [L_b,Va_1,Pa,Eb,S_0,Va,Hb,Lb] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,lAss_list_char(Va_1,Eb),S_0),hAPP_v834067052t_char(val_list_char,unit)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),L_b)))
      | L_b != fun_up1149430426on_val(Lb,Va_1,hAPP_val_option_val(some_val,Va))
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S_0),hAPP_v834067052t_char(val_list_char,Va)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb))) ),
    inference(fof_nnf,[status(thm)],[fact_853_LAss]) ).

fof(f_995_2,plain,
    ! [U_5378,U_5377,U_5376,U_5375,U_5374,U_5373,U_5372,U_5371] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_5376,lAss_list_char(U_5377,U_5375),U_5374),hAPP_v834067052t_char(val_list_char,unit)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_5372),U_5378)))
      | U_5378 != fun_up1149430426on_val(U_5371,U_5377,hAPP_val_option_val(some_val,U_5373))
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_5376,U_5375,U_5374),hAPP_v834067052t_char(val_list_char,U_5373)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_5372),U_5371))) ),
    inference(variable_rename,[status(thm)],[f_995_1]) ).

cnf(f_995_3,plain,
    ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_5376,lAss_list_char(U_5377,U_5375),U_5374),hAPP_v834067052t_char(val_list_char,unit)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_5372),U_5378)))
    | U_5378 != fun_up1149430426on_val(U_5371,U_5377,hAPP_val_option_val(some_val,U_5373))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_5376,U_5375,U_5374),hAPP_v834067052t_char(val_list_char,U_5373)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_5372),U_5371))) ),
    inference(clausify,[status(thm)],[f_995_2]) ).

fof(f_996_1,plain,
    ! [Ta,Pa,E_0,H_0,L_0,Va_1,E_1_1,H_1,L_1_1] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,block_list_char(Va_1,Ta,E_0),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_0),L_0)),E_1_1),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_1),fun_up1149430426on_val(L_1_1,Va_1,hAPP_l207779698on_val(L_0,Va_1)))))
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_0,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_0),fun_up1149430426on_val(L_0,Va_1,none_val))),E_1_1),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_1),L_1_1))) ),
    inference(fof_nnf,[status(thm)],[fact_854_Block]) ).

fof(f_996_2,plain,
    ! [U_5387,U_5386,U_5385,U_5384,U_5383,U_5382,U_5381,U_5380,U_5379] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_5386,block_list_char(U_5382,U_5387,U_5385),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_5384),U_5383)),U_5381),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_5380),fun_up1149430426on_val(U_5379,U_5382,hAPP_l207779698on_val(U_5383,U_5382)))))
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_5386,U_5385,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_5384),fun_up1149430426on_val(U_5383,U_5382,none_val))),U_5381),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_5380),U_5379))) ),
    inference(variable_rename,[status(thm)],[f_996_1]) ).

cnf(f_996_3,plain,
    ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_5386,block_list_char(U_5382,U_5387,U_5385),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_5384),U_5383)),U_5381),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_5380),fun_up1149430426on_val(U_5379,U_5382,hAPP_l207779698on_val(U_5383,U_5382)))))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_5386,U_5385,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_5384),fun_up1149430426on_val(U_5383,U_5382,none_val))),U_5381),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_5380),U_5379))) ),
    inference(clausify,[status(thm)],[f_996_2]) ).

fof(f_997_1,plain,
    ! [Pa,Eb,H_0,L_0,E_b,H_1,L_1_1] :
      ( hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(dom_list_char_val(L_0)),dom_list_char_val(L_1_1)))
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_0),L_0)),E_b),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_1),L_1_1))) ),
    inference(fof_nnf,[status(thm)],[fact_855_eval__lcl__incr]) ).

fof(f_997_2,plain,
    ! [U_5394,U_5393,U_5392,U_5391,U_5390,U_5389,U_5388] :
      ( hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(dom_list_char_val(U_5391)),dom_list_char_val(U_5388)))
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_5394,U_5393,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_5392),U_5391)),U_5390),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_5389),U_5388))) ),
    inference(variable_rename,[status(thm)],[f_997_1]) ).

cnf(f_997_3,plain,
    ( hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(dom_list_char_val(U_5391)),dom_list_char_val(U_5388)))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_5394,U_5393,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_5392),U_5391)),U_5390),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_5389),U_5388))) ),
    inference(clausify,[status(thm)],[f_997_2]) ).

fof(f_998_1,plain,
    ! [Pa,Eb,Hb,Lb,E_b,H_b,L_b] :
      ( hBOOL(hext(Hb,H_b))
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb)),E_b),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),L_b))) ),
    inference(fof_nnf,[status(thm)],[fact_856_eval__hext]) ).

fof(f_998_2,plain,
    ! [U_5401,U_5400,U_5399,U_5398,U_5397,U_5396,U_5395] :
      ( hBOOL(hext(U_5399,U_5396))
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_5401,U_5400,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_5399),U_5398)),U_5397),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_5396),U_5395))) ),
    inference(variable_rename,[status(thm)],[f_998_1]) ).

fof(f_998_3,plain,
    ! [U_5401,U_5400,U_5399,U_5398,U_5397,U_5396] :
      ( ! [U_5395] : ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_5401,U_5400,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_5399),U_5398)),U_5397),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_5396),U_5395)))
      | hBOOL(hext(U_5399,U_5396)) ),
    inference(miniscope,[status(thm)],[f_998_2]) ).

cnf(f_998_4,plain,
    ( ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_5401,U_5400,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_5399),U_5398)),U_5397),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_5396),U_5395)))
    | hBOOL(hext(U_5399,U_5396)) ),
    inference(clausify,[status(thm)],[f_998_3]) ).

fof(f_999_1,plain,
    ! [E_1_1,E_2,S_2_1,Pa,E_0,S_0,Va,S_1] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,seq_list_char(E_0,E_1_1),S_0),E_2),S_2_1))
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1_1,S_1),E_2),S_2_1))
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_0,S_0),hAPP_v834067052t_char(val_list_char,Va)),S_1)) ),
    inference(fof_nnf,[status(thm)],[fact_857_Seq]) ).

fof(f_999_2,plain,
    ! [U_5409,U_5408,U_5407,U_5406,U_5405,U_5404,U_5403,U_5402] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_5406,seq_list_char(U_5405,U_5409),U_5404),U_5408),U_5407))
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_5406,U_5409,U_5402),U_5408),U_5407))
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_5406,U_5405,U_5404),hAPP_v834067052t_char(val_list_char,U_5403)),U_5402)) ),
    inference(variable_rename,[status(thm)],[f_999_1]) ).

cnf(f_999_3,plain,
    ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_5406,seq_list_char(U_5405,U_5409),U_5404),U_5408),U_5407))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_5406,U_5409,U_5402),U_5408),U_5407))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_5406,U_5405,U_5404),hAPP_v834067052t_char(val_list_char,U_5403)),U_5402)) ),
    inference(clausify,[status(thm)],[f_999_2]) ).

fof(f_1000_1,plain,
    ! [Eb,Hb,Lb,E_b,H_b,L_b,Pa] :
      ( hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(dom_list_char_val(L_b)),semila919158006r_bool(dom_list_char_val(Lb),fv(Eb))))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),L_b)))),transi2024712006on_val(red(Pa))))
      | ~ hBOOL(wf_pro755087577t_char(wwf_J_mdecl,Pa)) ),
    inference(fof_nnf,[status(thm)],[fact_858_Reds__dom__lcl]) ).

fof(f_1000_2,plain,
    ! [U_5416,U_5415,U_5414,U_5413,U_5412,U_5411,U_5410] :
      ( hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(dom_list_char_val(U_5411)),semila919158006r_bool(dom_list_char_val(U_5414),fv(U_5416))))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_5416),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_5415),U_5414))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_5413),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_5412),U_5411)))),transi2024712006on_val(red(U_5410))))
      | ~ hBOOL(wf_pro755087577t_char(wwf_J_mdecl,U_5410)) ),
    inference(variable_rename,[status(thm)],[f_1000_1]) ).

cnf(f_1000_3,plain,
    ( hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(dom_list_char_val(U_5411)),semila919158006r_bool(dom_list_char_val(U_5414),fv(U_5416))))
    | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_5416),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_5415),U_5414))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_5413),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_5412),U_5411)))),transi2024712006on_val(red(U_5410))))
    | ~ hBOOL(wf_pro755087577t_char(wwf_J_mdecl,U_5410)) ),
    inference(clausify,[status(thm)],[f_1000_2]) ).

fof(f_1001_1,plain,
    ! [C_2,A_2,B_1] :
      ( hBOOL(hAPP_f483496539l_bool(hAPP_P7095645l_bool(member1601084734t_char,C_2),B_1))
      | hBOOL(hAPP_f483496539l_bool(hAPP_P7095645l_bool(member1601084734t_char,C_2),A_2))
      | ~ hBOOL(hAPP_f483496539l_bool(hAPP_P7095645l_bool(member1601084734t_char,C_2),semila1731249415r_bool(A_2,B_1))) ),
    inference(fof_nnf,[status(thm)],[fact_859_UnE]) ).

fof(f_1001_2,plain,
    ! [U_5419,U_5418,U_5417] :
      ( hBOOL(hAPP_f483496539l_bool(hAPP_P7095645l_bool(member1601084734t_char,U_5419),U_5417))
      | hBOOL(hAPP_f483496539l_bool(hAPP_P7095645l_bool(member1601084734t_char,U_5419),U_5418))
      | ~ hBOOL(hAPP_f483496539l_bool(hAPP_P7095645l_bool(member1601084734t_char,U_5419),semila1731249415r_bool(U_5418,U_5417))) ),
    inference(variable_rename,[status(thm)],[f_1001_1]) ).

cnf(f_1001_3,plain,
    ( hBOOL(hAPP_f483496539l_bool(hAPP_P7095645l_bool(member1601084734t_char,U_5419),U_5417))
    | hBOOL(hAPP_f483496539l_bool(hAPP_P7095645l_bool(member1601084734t_char,U_5419),U_5418))
    | ~ hBOOL(hAPP_f483496539l_bool(hAPP_P7095645l_bool(member1601084734t_char,U_5419),semila1731249415r_bool(U_5418,U_5417))) ),
    inference(clausify,[status(thm)],[f_1001_2]) ).

fof(f_1002_1,plain,
    ! [C_2,A_2,B_1] :
      ( hBOOL(hAPP_f515912112l_bool(hAPP_P205570445l_bool(member1467889965t_char,C_2),B_1))
      | hBOOL(hAPP_f515912112l_bool(hAPP_P205570445l_bool(member1467889965t_char,C_2),A_2))
      | ~ hBOOL(hAPP_f515912112l_bool(hAPP_P205570445l_bool(member1467889965t_char,C_2),semila1346223580r_bool(A_2,B_1))) ),
    inference(fof_nnf,[status(thm)],[fact_860_UnE]) ).

fof(f_1002_2,plain,
    ! [U_5422,U_5421,U_5420] :
      ( hBOOL(hAPP_f515912112l_bool(hAPP_P205570445l_bool(member1467889965t_char,U_5422),U_5420))
      | hBOOL(hAPP_f515912112l_bool(hAPP_P205570445l_bool(member1467889965t_char,U_5422),U_5421))
      | ~ hBOOL(hAPP_f515912112l_bool(hAPP_P205570445l_bool(member1467889965t_char,U_5422),semila1346223580r_bool(U_5421,U_5420))) ),
    inference(variable_rename,[status(thm)],[f_1002_1]) ).

cnf(f_1002_3,plain,
    ( hBOOL(hAPP_f515912112l_bool(hAPP_P205570445l_bool(member1467889965t_char,U_5422),U_5420))
    | hBOOL(hAPP_f515912112l_bool(hAPP_P205570445l_bool(member1467889965t_char,U_5422),U_5421))
    | ~ hBOOL(hAPP_f515912112l_bool(hAPP_P205570445l_bool(member1467889965t_char,U_5422),semila1346223580r_bool(U_5421,U_5420))) ),
    inference(clausify,[status(thm)],[f_1002_2]) ).

fof(f_1003_1,plain,
    ! [C_2,A_2,B_1] :
      ( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,C_2),B_1))
      | hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,C_2),A_2))
      | ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,C_2),semila449273525l_bool(A_2,B_1))) ),
    inference(fof_nnf,[status(thm)],[fact_861_UnE]) ).

fof(f_1003_2,plain,
    ! [U_5425,U_5424,U_5423] :
      ( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,U_5425),U_5423))
      | hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,U_5425),U_5424))
      | ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,U_5425),semila449273525l_bool(U_5424,U_5423))) ),
    inference(variable_rename,[status(thm)],[f_1003_1]) ).

cnf(f_1003_3,plain,
    ( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,U_5425),U_5423))
    | hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,U_5425),U_5424))
    | ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,U_5425),semila449273525l_bool(U_5424,U_5423))) ),
    inference(clausify,[status(thm)],[f_1003_2]) ).

fof(f_1004_1,plain,
    ! [C_2,A_2,B_1] :
      ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,C_2),B_1))
      | hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,C_2),A_2))
      | ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,C_2),semila465093516t_bool(A_2,B_1))) ),
    inference(fof_nnf,[status(thm)],[fact_862_UnE]) ).

fof(f_1004_2,plain,
    ! [U_5428,U_5427,U_5426] :
      ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,U_5428),U_5426))
      | hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,U_5428),U_5427))
      | ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,U_5428),semila465093516t_bool(U_5427,U_5426))) ),
    inference(variable_rename,[status(thm)],[f_1004_1]) ).

cnf(f_1004_3,plain,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,U_5428),U_5426))
    | hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,U_5428),U_5427))
    | ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,U_5428),semila465093516t_bool(U_5427,U_5426))) ),
    inference(clausify,[status(thm)],[f_1004_2]) ).

fof(f_1005_1,plain,
    ! [C_2,A_2,B_1] :
      ( hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,C_2),B_1))
      | hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,C_2),A_2))
      | ~ hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,C_2),semila1168318597r_bool(A_2,B_1))) ),
    inference(fof_nnf,[status(thm)],[fact_863_UnE]) ).

fof(f_1005_2,plain,
    ! [U_5431,U_5430,U_5429] :
      ( hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,U_5431),U_5429))
      | hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,U_5431),U_5430))
      | ~ hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,U_5431),semila1168318597r_bool(U_5430,U_5429))) ),
    inference(variable_rename,[status(thm)],[f_1005_1]) ).

cnf(f_1005_3,plain,
    ( hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,U_5431),U_5429))
    | hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,U_5431),U_5430))
    | ~ hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,U_5431),semila1168318597r_bool(U_5430,U_5429))) ),
    inference(clausify,[status(thm)],[f_1005_2]) ).

fof(f_1006_1,plain,
    ! [C_2,A_2,B_1] :
      ( hBOOL(hAPP_f986089162l_bool(hAPP_l1903254203l_bool(member_list_char,C_2),B_1))
      | hBOOL(hAPP_f986089162l_bool(hAPP_l1903254203l_bool(member_list_char,C_2),A_2))
      | ~ hBOOL(hAPP_f986089162l_bool(hAPP_l1903254203l_bool(member_list_char,C_2),semila919158006r_bool(A_2,B_1))) ),
    inference(fof_nnf,[status(thm)],[fact_864_UnE]) ).

fof(f_1006_2,plain,
    ! [U_5434,U_5433,U_5432] :
      ( hBOOL(hAPP_f986089162l_bool(hAPP_l1903254203l_bool(member_list_char,U_5434),U_5432))
      | hBOOL(hAPP_f986089162l_bool(hAPP_l1903254203l_bool(member_list_char,U_5434),U_5433))
      | ~ hBOOL(hAPP_f986089162l_bool(hAPP_l1903254203l_bool(member_list_char,U_5434),semila919158006r_bool(U_5433,U_5432))) ),
    inference(variable_rename,[status(thm)],[f_1006_1]) ).

cnf(f_1006_3,plain,
    ( hBOOL(hAPP_f986089162l_bool(hAPP_l1903254203l_bool(member_list_char,U_5434),U_5432))
    | hBOOL(hAPP_f986089162l_bool(hAPP_l1903254203l_bool(member_list_char,U_5434),U_5433))
    | ~ hBOOL(hAPP_f986089162l_bool(hAPP_l1903254203l_bool(member_list_char,U_5434),semila919158006r_bool(U_5433,U_5432))) ),
    inference(clausify,[status(thm)],[f_1006_2]) ).

fof(f_1007_1,plain,
    ! [C_2,A_2,B_1] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,C_2),B_1))
      | hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,C_2),A_2))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,C_2),semila751111325l_bool(A_2,B_1))) ),
    inference(fof_nnf,[status(thm)],[fact_865_UnE]) ).

fof(f_1007_2,plain,
    ! [U_5437,U_5436,U_5435] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,U_5437),U_5435))
      | hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,U_5437),U_5436))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,U_5437),semila751111325l_bool(U_5436,U_5435))) ),
    inference(variable_rename,[status(thm)],[f_1007_1]) ).

cnf(f_1007_3,plain,
    ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,U_5437),U_5435))
    | hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,U_5437),U_5436))
    | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,U_5437),semila751111325l_bool(U_5436,U_5435))) ),
    inference(clausify,[status(thm)],[f_1007_2]) ).

fof(f_1008_1,plain,
    ! [A_2,C_2,B_1] :
      ( hBOOL(hAPP_f483496539l_bool(hAPP_P7095645l_bool(member1601084734t_char,C_2),semila1731249415r_bool(A_2,B_1)))
      | ( ~ hBOOL(hAPP_f483496539l_bool(hAPP_P7095645l_bool(member1601084734t_char,C_2),A_2))
        & ~ hBOOL(hAPP_f483496539l_bool(hAPP_P7095645l_bool(member1601084734t_char,C_2),B_1)) ) ),
    inference(fof_nnf,[status(thm)],[fact_866_UnCI]) ).

fof(f_1008_2,plain,
    ! [U_5440,U_5439,U_5438] :
      ( hBOOL(hAPP_f483496539l_bool(hAPP_P7095645l_bool(member1601084734t_char,U_5439),semila1731249415r_bool(U_5440,U_5438)))
      | ( ~ hBOOL(hAPP_f483496539l_bool(hAPP_P7095645l_bool(member1601084734t_char,U_5439),U_5440))
        & ~ hBOOL(hAPP_f483496539l_bool(hAPP_P7095645l_bool(member1601084734t_char,U_5439),U_5438)) ) ),
    inference(variable_rename,[status(thm)],[f_1008_1]) ).

cnf(f_1008_3,plain,
    ( ~ hBOOL(hAPP_f483496539l_bool(hAPP_P7095645l_bool(member1601084734t_char,U_5439),U_5438))
    | hBOOL(hAPP_f483496539l_bool(hAPP_P7095645l_bool(member1601084734t_char,U_5439),semila1731249415r_bool(U_5440,U_5438))) ),
    inference(clausify,[status(thm)],[f_1008_2]) ).

cnf(f_1008_4,plain,
    ( ~ hBOOL(hAPP_f483496539l_bool(hAPP_P7095645l_bool(member1601084734t_char,U_5439),U_5440))
    | hBOOL(hAPP_f483496539l_bool(hAPP_P7095645l_bool(member1601084734t_char,U_5439),semila1731249415r_bool(U_5440,U_5438))) ),
    inference(clausify,[status(thm)],[f_1008_2]) ).

fof(f_1009_1,plain,
    ! [A_2,C_2,B_1] :
      ( hBOOL(hAPP_f515912112l_bool(hAPP_P205570445l_bool(member1467889965t_char,C_2),semila1346223580r_bool(A_2,B_1)))
      | ( ~ hBOOL(hAPP_f515912112l_bool(hAPP_P205570445l_bool(member1467889965t_char,C_2),A_2))
        & ~ hBOOL(hAPP_f515912112l_bool(hAPP_P205570445l_bool(member1467889965t_char,C_2),B_1)) ) ),
    inference(fof_nnf,[status(thm)],[fact_867_UnCI]) ).

fof(f_1009_2,plain,
    ! [U_5443,U_5442,U_5441] :
      ( hBOOL(hAPP_f515912112l_bool(hAPP_P205570445l_bool(member1467889965t_char,U_5442),semila1346223580r_bool(U_5443,U_5441)))
      | ( ~ hBOOL(hAPP_f515912112l_bool(hAPP_P205570445l_bool(member1467889965t_char,U_5442),U_5443))
        & ~ hBOOL(hAPP_f515912112l_bool(hAPP_P205570445l_bool(member1467889965t_char,U_5442),U_5441)) ) ),
    inference(variable_rename,[status(thm)],[f_1009_1]) ).

cnf(f_1009_3,plain,
    ( ~ hBOOL(hAPP_f515912112l_bool(hAPP_P205570445l_bool(member1467889965t_char,U_5442),U_5441))
    | hBOOL(hAPP_f515912112l_bool(hAPP_P205570445l_bool(member1467889965t_char,U_5442),semila1346223580r_bool(U_5443,U_5441))) ),
    inference(clausify,[status(thm)],[f_1009_2]) ).

cnf(f_1009_4,plain,
    ( ~ hBOOL(hAPP_f515912112l_bool(hAPP_P205570445l_bool(member1467889965t_char,U_5442),U_5443))
    | hBOOL(hAPP_f515912112l_bool(hAPP_P205570445l_bool(member1467889965t_char,U_5442),semila1346223580r_bool(U_5443,U_5441))) ),
    inference(clausify,[status(thm)],[f_1009_2]) ).

fof(f_1010_1,plain,
    ! [A_2,C_2,B_1] :
      ( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,C_2),semila449273525l_bool(A_2,B_1)))
      | ( ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,C_2),A_2))
        & ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,C_2),B_1)) ) ),
    inference(fof_nnf,[status(thm)],[fact_868_UnCI]) ).

fof(f_1010_2,plain,
    ! [U_5446,U_5445,U_5444] :
      ( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,U_5445),semila449273525l_bool(U_5446,U_5444)))
      | ( ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,U_5445),U_5446))
        & ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,U_5445),U_5444)) ) ),
    inference(variable_rename,[status(thm)],[f_1010_1]) ).

cnf(f_1010_3,plain,
    ( ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,U_5445),U_5444))
    | hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,U_5445),semila449273525l_bool(U_5446,U_5444))) ),
    inference(clausify,[status(thm)],[f_1010_2]) ).

cnf(f_1010_4,plain,
    ( ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,U_5445),U_5446))
    | hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,U_5445),semila449273525l_bool(U_5446,U_5444))) ),
    inference(clausify,[status(thm)],[f_1010_2]) ).

fof(f_1011_1,plain,
    ! [A_2,C_2,B_1] :
      ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,C_2),semila465093516t_bool(A_2,B_1)))
      | ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,C_2),A_2))
        & ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,C_2),B_1)) ) ),
    inference(fof_nnf,[status(thm)],[fact_869_UnCI]) ).

fof(f_1011_2,plain,
    ! [U_5449,U_5448,U_5447] :
      ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,U_5448),semila465093516t_bool(U_5449,U_5447)))
      | ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,U_5448),U_5449))
        & ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,U_5448),U_5447)) ) ),
    inference(variable_rename,[status(thm)],[f_1011_1]) ).

cnf(f_1011_3,plain,
    ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,U_5448),U_5447))
    | hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,U_5448),semila465093516t_bool(U_5449,U_5447))) ),
    inference(clausify,[status(thm)],[f_1011_2]) ).

cnf(f_1011_4,plain,
    ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,U_5448),U_5449))
    | hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,U_5448),semila465093516t_bool(U_5449,U_5447))) ),
    inference(clausify,[status(thm)],[f_1011_2]) ).

fof(f_1012_1,plain,
    ! [A_2,C_2,B_1] :
      ( hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,C_2),semila1168318597r_bool(A_2,B_1)))
      | ( ~ hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,C_2),A_2))
        & ~ hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,C_2),B_1)) ) ),
    inference(fof_nnf,[status(thm)],[fact_870_UnCI]) ).

fof(f_1012_2,plain,
    ! [U_5452,U_5451,U_5450] :
      ( hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,U_5451),semila1168318597r_bool(U_5452,U_5450)))
      | ( ~ hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,U_5451),U_5452))
        & ~ hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,U_5451),U_5450)) ) ),
    inference(variable_rename,[status(thm)],[f_1012_1]) ).

cnf(f_1012_3,plain,
    ( ~ hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,U_5451),U_5450))
    | hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,U_5451),semila1168318597r_bool(U_5452,U_5450))) ),
    inference(clausify,[status(thm)],[f_1012_2]) ).

cnf(f_1012_4,plain,
    ( ~ hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,U_5451),U_5452))
    | hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,U_5451),semila1168318597r_bool(U_5452,U_5450))) ),
    inference(clausify,[status(thm)],[f_1012_2]) ).

fof(f_1013_1,plain,
    ! [A_2,C_2,B_1] :
      ( hBOOL(hAPP_f986089162l_bool(hAPP_l1903254203l_bool(member_list_char,C_2),semila919158006r_bool(A_2,B_1)))
      | ( ~ hBOOL(hAPP_f986089162l_bool(hAPP_l1903254203l_bool(member_list_char,C_2),A_2))
        & ~ hBOOL(hAPP_f986089162l_bool(hAPP_l1903254203l_bool(member_list_char,C_2),B_1)) ) ),
    inference(fof_nnf,[status(thm)],[fact_871_UnCI]) ).

fof(f_1013_2,plain,
    ! [U_5455,U_5454,U_5453] :
      ( hBOOL(hAPP_f986089162l_bool(hAPP_l1903254203l_bool(member_list_char,U_5454),semila919158006r_bool(U_5455,U_5453)))
      | ( ~ hBOOL(hAPP_f986089162l_bool(hAPP_l1903254203l_bool(member_list_char,U_5454),U_5455))
        & ~ hBOOL(hAPP_f986089162l_bool(hAPP_l1903254203l_bool(member_list_char,U_5454),U_5453)) ) ),
    inference(variable_rename,[status(thm)],[f_1013_1]) ).

cnf(f_1013_3,plain,
    ( ~ hBOOL(hAPP_f986089162l_bool(hAPP_l1903254203l_bool(member_list_char,U_5454),U_5453))
    | hBOOL(hAPP_f986089162l_bool(hAPP_l1903254203l_bool(member_list_char,U_5454),semila919158006r_bool(U_5455,U_5453))) ),
    inference(clausify,[status(thm)],[f_1013_2]) ).

cnf(f_1013_4,plain,
    ( ~ hBOOL(hAPP_f986089162l_bool(hAPP_l1903254203l_bool(member_list_char,U_5454),U_5455))
    | hBOOL(hAPP_f986089162l_bool(hAPP_l1903254203l_bool(member_list_char,U_5454),semila919158006r_bool(U_5455,U_5453))) ),
    inference(clausify,[status(thm)],[f_1013_2]) ).

fof(f_1014_1,plain,
    ! [A_2,C_2,B_1] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,C_2),semila751111325l_bool(A_2,B_1)))
      | ( ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,C_2),A_2))
        & ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,C_2),B_1)) ) ),
    inference(fof_nnf,[status(thm)],[fact_872_UnCI]) ).

fof(f_1014_2,plain,
    ! [U_5458,U_5457,U_5456] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,U_5457),semila751111325l_bool(U_5458,U_5456)))
      | ( ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,U_5457),U_5458))
        & ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,U_5457),U_5456)) ) ),
    inference(variable_rename,[status(thm)],[f_1014_1]) ).

cnf(f_1014_3,plain,
    ( ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,U_5457),U_5456))
    | hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,U_5457),semila751111325l_bool(U_5458,U_5456))) ),
    inference(clausify,[status(thm)],[f_1014_2]) ).

cnf(f_1014_4,plain,
    ( ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,U_5457),U_5458))
    | hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,U_5457),semila751111325l_bool(U_5458,U_5456))) ),
    inference(clausify,[status(thm)],[f_1014_2]) ).

fof(f_1015_1,plain,
    ! [A_2,B_1,X_2] :
      ( hBOOL(hAPP_list_char_bool(B_1,X_2))
      | hBOOL(hAPP_list_char_bool(A_2,X_2))
      | ~ hBOOL(hAPP_list_char_bool(semila919158006r_bool(A_2,B_1),X_2)) ),
    inference(fof_nnf,[status(thm)],[fact_873_sup1E]) ).

fof(f_1015_2,plain,
    ! [U_5461,U_5460,U_5459] :
      ( hBOOL(hAPP_list_char_bool(U_5460,U_5459))
      | hBOOL(hAPP_list_char_bool(U_5461,U_5459))
      | ~ hBOOL(hAPP_list_char_bool(semila919158006r_bool(U_5461,U_5460),U_5459)) ),
    inference(variable_rename,[status(thm)],[f_1015_1]) ).

cnf(f_1015_3,plain,
    ( hBOOL(hAPP_list_char_bool(U_5460,U_5459))
    | hBOOL(hAPP_list_char_bool(U_5461,U_5459))
    | ~ hBOOL(hAPP_list_char_bool(semila919158006r_bool(U_5461,U_5460),U_5459)) ),
    inference(clausify,[status(thm)],[f_1015_2]) ).

fof(f_1016_1,plain,
    ! [A_2,B_1,X_2] :
      ( hBOOL(hAPP_list_char_bool(semila919158006r_bool(A_2,B_1),X_2))
      | ( ~ hBOOL(hAPP_list_char_bool(A_2,X_2))
        & ~ hBOOL(hAPP_list_char_bool(B_1,X_2)) ) ),
    inference(fof_nnf,[status(thm)],[fact_874_sup1CI]) ).

fof(f_1016_2,plain,
    ! [U_5464,U_5463,U_5462] :
      ( hBOOL(hAPP_list_char_bool(semila919158006r_bool(U_5464,U_5463),U_5462))
      | ( ~ hBOOL(hAPP_list_char_bool(U_5464,U_5462))
        & ~ hBOOL(hAPP_list_char_bool(U_5463,U_5462)) ) ),
    inference(variable_rename,[status(thm)],[f_1016_1]) ).

cnf(f_1016_3,plain,
    ( ~ hBOOL(hAPP_list_char_bool(U_5463,U_5462))
    | hBOOL(hAPP_list_char_bool(semila919158006r_bool(U_5464,U_5463),U_5462)) ),
    inference(clausify,[status(thm)],[f_1016_2]) ).

cnf(f_1016_4,plain,
    ( ~ hBOOL(hAPP_list_char_bool(U_5464,U_5462))
    | hBOOL(hAPP_list_char_bool(semila919158006r_bool(U_5464,U_5463),U_5462)) ),
    inference(clausify,[status(thm)],[f_1016_2]) ).

fof(f_1017_1,plain,
    ! [A_2] : semila919158006r_bool(A_2,A_2) = A_2,
    inference(fof_nnf,[status(thm)],[fact_875_Un__absorb]) ).

fof(f_1017_2,plain,
    ! [U_5465] : semila919158006r_bool(U_5465,U_5465) = U_5465,
    inference(variable_rename,[status(thm)],[f_1017_1]) ).

cnf(f_1017_3,plain,
    semila919158006r_bool(U_5465,U_5465) = U_5465,
    inference(clausify,[status(thm)],[f_1017_2]) ).

fof(f_1018_1,plain,
    ! [A_2,B_1] : semila1731249415r_bool(A_2,B_1) = collec1387638140t_char(cOMBS_1743887558l_bool(hAPP_f1985672189l_bool(hAPP_f1169733153l_bool(cOMBB_565990871t_char,fdisj),hAPP_f1853572245r_bool(hAPP_f1933376467r_bool(cOMBC_36589090l_bool,member1601084734t_char),A_2)),hAPP_f1853572245r_bool(hAPP_f1933376467r_bool(cOMBC_36589090l_bool,member1601084734t_char),B_1))),
    inference(fof_nnf,[status(thm)],[fact_876_Un__def]) ).

fof(f_1018_2,plain,
    ! [U_5467,U_5466] : semila1731249415r_bool(U_5467,U_5466) = collec1387638140t_char(cOMBS_1743887558l_bool(hAPP_f1985672189l_bool(hAPP_f1169733153l_bool(cOMBB_565990871t_char,fdisj),hAPP_f1853572245r_bool(hAPP_f1933376467r_bool(cOMBC_36589090l_bool,member1601084734t_char),U_5467)),hAPP_f1853572245r_bool(hAPP_f1933376467r_bool(cOMBC_36589090l_bool,member1601084734t_char),U_5466))),
    inference(variable_rename,[status(thm)],[f_1018_1]) ).

cnf(f_1018_3,plain,
    semila1731249415r_bool(U_5467,U_5466) = collec1387638140t_char(cOMBS_1743887558l_bool(hAPP_f1985672189l_bool(hAPP_f1169733153l_bool(cOMBB_565990871t_char,fdisj),hAPP_f1853572245r_bool(hAPP_f1933376467r_bool(cOMBC_36589090l_bool,member1601084734t_char),U_5467)),hAPP_f1853572245r_bool(hAPP_f1933376467r_bool(cOMBC_36589090l_bool,member1601084734t_char),U_5466))),
    inference(clausify,[status(thm)],[f_1018_2]) ).

fof(f_1019_1,plain,
    ! [A_2,B_1] : semila1346223580r_bool(A_2,B_1) = collec1583467887t_char(cOMBS_635570165l_bool(hAPP_f561246575l_bool(hAPP_f321462169l_bool(cOMBB_808210516t_char,fdisj),hAPP_f1666729379r_bool(hAPP_f1020753317r_bool(cOMBC_1297648632l_bool,member1467889965t_char),A_2)),hAPP_f1666729379r_bool(hAPP_f1020753317r_bool(cOMBC_1297648632l_bool,member1467889965t_char),B_1))),
    inference(fof_nnf,[status(thm)],[fact_877_Un__def]) ).

fof(f_1019_2,plain,
    ! [U_5469,U_5468] : semila1346223580r_bool(U_5469,U_5468) = collec1583467887t_char(cOMBS_635570165l_bool(hAPP_f561246575l_bool(hAPP_f321462169l_bool(cOMBB_808210516t_char,fdisj),hAPP_f1666729379r_bool(hAPP_f1020753317r_bool(cOMBC_1297648632l_bool,member1467889965t_char),U_5469)),hAPP_f1666729379r_bool(hAPP_f1020753317r_bool(cOMBC_1297648632l_bool,member1467889965t_char),U_5468))),
    inference(variable_rename,[status(thm)],[f_1019_1]) ).

cnf(f_1019_3,plain,
    semila1346223580r_bool(U_5469,U_5468) = collec1583467887t_char(cOMBS_635570165l_bool(hAPP_f561246575l_bool(hAPP_f321462169l_bool(cOMBB_808210516t_char,fdisj),hAPP_f1666729379r_bool(hAPP_f1020753317r_bool(cOMBC_1297648632l_bool,member1467889965t_char),U_5469)),hAPP_f1666729379r_bool(hAPP_f1020753317r_bool(cOMBC_1297648632l_bool,member1467889965t_char),U_5468))),
    inference(clausify,[status(thm)],[f_1019_2]) ).

fof(f_1020_1,plain,
    ! [A_2,B_1] : semila449273525l_bool(A_2,B_1) = collec2087910442on_val(cOMBS_1218320756l_bool(hAPP_f914702973l_bool(hAPP_f1600936353l_bool(cOMBB_1617503877on_val,fdisj),hAPP_f1856968213l_bool(hAPP_f677078775l_bool(cOMBC_475083938l_bool,member875476972on_val),A_2)),hAPP_f1856968213l_bool(hAPP_f677078775l_bool(cOMBC_475083938l_bool,member875476972on_val),B_1))),
    inference(fof_nnf,[status(thm)],[fact_878_Un__def]) ).

fof(f_1020_2,plain,
    ! [U_5471,U_5470] : semila449273525l_bool(U_5471,U_5470) = collec2087910442on_val(cOMBS_1218320756l_bool(hAPP_f914702973l_bool(hAPP_f1600936353l_bool(cOMBB_1617503877on_val,fdisj),hAPP_f1856968213l_bool(hAPP_f677078775l_bool(cOMBC_475083938l_bool,member875476972on_val),U_5471)),hAPP_f1856968213l_bool(hAPP_f677078775l_bool(cOMBC_475083938l_bool,member875476972on_val),U_5470))),
    inference(variable_rename,[status(thm)],[f_1020_1]) ).

cnf(f_1020_3,plain,
    semila449273525l_bool(U_5471,U_5470) = collec2087910442on_val(cOMBS_1218320756l_bool(hAPP_f914702973l_bool(hAPP_f1600936353l_bool(cOMBB_1617503877on_val,fdisj),hAPP_f1856968213l_bool(hAPP_f677078775l_bool(cOMBC_475083938l_bool,member875476972on_val),U_5471)),hAPP_f1856968213l_bool(hAPP_f677078775l_bool(cOMBC_475083938l_bool,member875476972on_val),U_5470))),
    inference(clausify,[status(thm)],[f_1020_2]) ).

fof(f_1021_1,plain,
    ! [A_2,B_1] : semila465093516t_bool(A_2,B_1) = collect_nat(cOMBS_nat_bool_bool(hAPP_f1146629647l_bool(hAPP_f1080886329l_bool(cOMBB_1015721476ol_nat,fdisj),hAPP_f800510211t_bool(hAPP_f1722879237t_bool(cOMBC_226598744l_bool,member_nat),A_2)),hAPP_f800510211t_bool(hAPP_f1722879237t_bool(cOMBC_226598744l_bool,member_nat),B_1))),
    inference(fof_nnf,[status(thm)],[fact_879_Un__def]) ).

fof(f_1021_2,plain,
    ! [U_5473,U_5472] : semila465093516t_bool(U_5473,U_5472) = collect_nat(cOMBS_nat_bool_bool(hAPP_f1146629647l_bool(hAPP_f1080886329l_bool(cOMBB_1015721476ol_nat,fdisj),hAPP_f800510211t_bool(hAPP_f1722879237t_bool(cOMBC_226598744l_bool,member_nat),U_5473)),hAPP_f800510211t_bool(hAPP_f1722879237t_bool(cOMBC_226598744l_bool,member_nat),U_5472))),
    inference(variable_rename,[status(thm)],[f_1021_1]) ).

cnf(f_1021_3,plain,
    semila465093516t_bool(U_5473,U_5472) = collect_nat(cOMBS_nat_bool_bool(hAPP_f1146629647l_bool(hAPP_f1080886329l_bool(cOMBB_1015721476ol_nat,fdisj),hAPP_f800510211t_bool(hAPP_f1722879237t_bool(cOMBC_226598744l_bool,member_nat),U_5473)),hAPP_f800510211t_bool(hAPP_f1722879237t_bool(cOMBC_226598744l_bool,member_nat),U_5472))),
    inference(clausify,[status(thm)],[f_1021_2]) ).

fof(f_1022_1,plain,
    ! [A_2,B_1] : semila1168318597r_bool(A_2,B_1) = collec1797130234t_char(cOMBS_350755140l_bool(hAPP_f644972157l_bool(hAPP_f722872225l_bool(cOMBB_1643767893t_char,fdisj),hAPP_f112056853r_bool(hAPP_f1876889431r_bool(cOMBC_148995234l_bool,member1251428284t_char),A_2)),hAPP_f112056853r_bool(hAPP_f1876889431r_bool(cOMBC_148995234l_bool,member1251428284t_char),B_1))),
    inference(fof_nnf,[status(thm)],[fact_880_Un__def]) ).

fof(f_1022_2,plain,
    ! [U_5475,U_5474] : semila1168318597r_bool(U_5475,U_5474) = collec1797130234t_char(cOMBS_350755140l_bool(hAPP_f644972157l_bool(hAPP_f722872225l_bool(cOMBB_1643767893t_char,fdisj),hAPP_f112056853r_bool(hAPP_f1876889431r_bool(cOMBC_148995234l_bool,member1251428284t_char),U_5475)),hAPP_f112056853r_bool(hAPP_f1876889431r_bool(cOMBC_148995234l_bool,member1251428284t_char),U_5474))),
    inference(variable_rename,[status(thm)],[f_1022_1]) ).

cnf(f_1022_3,plain,
    semila1168318597r_bool(U_5475,U_5474) = collec1797130234t_char(cOMBS_350755140l_bool(hAPP_f644972157l_bool(hAPP_f722872225l_bool(cOMBB_1643767893t_char,fdisj),hAPP_f112056853r_bool(hAPP_f1876889431r_bool(cOMBC_148995234l_bool,member1251428284t_char),U_5475)),hAPP_f112056853r_bool(hAPP_f1876889431r_bool(cOMBC_148995234l_bool,member1251428284t_char),U_5474))),
    inference(clausify,[status(thm)],[f_1022_2]) ).

fof(f_1023_1,plain,
    ! [A_2,B_1] : semila919158006r_bool(A_2,B_1) = collect_list_char(cOMBS_1502238389l_bool(hAPP_f1163760061l_bool(hAPP_f1157863905l_bool(cOMBB_984708934t_char,fdisj),hAPP_f1371002581r_bool(hAPP_f522372661r_bool(cOMBC_892477410l_bool,member_list_char),A_2)),hAPP_f1371002581r_bool(hAPP_f522372661r_bool(cOMBC_892477410l_bool,member_list_char),B_1))),
    inference(fof_nnf,[status(thm)],[fact_881_Un__def]) ).

fof(f_1023_2,plain,
    ! [U_5477,U_5476] : semila919158006r_bool(U_5477,U_5476) = collect_list_char(cOMBS_1502238389l_bool(hAPP_f1163760061l_bool(hAPP_f1157863905l_bool(cOMBB_984708934t_char,fdisj),hAPP_f1371002581r_bool(hAPP_f522372661r_bool(cOMBC_892477410l_bool,member_list_char),U_5477)),hAPP_f1371002581r_bool(hAPP_f522372661r_bool(cOMBC_892477410l_bool,member_list_char),U_5476))),
    inference(variable_rename,[status(thm)],[f_1023_1]) ).

cnf(f_1023_3,plain,
    semila919158006r_bool(U_5477,U_5476) = collect_list_char(cOMBS_1502238389l_bool(hAPP_f1163760061l_bool(hAPP_f1157863905l_bool(cOMBB_984708934t_char,fdisj),hAPP_f1371002581r_bool(hAPP_f522372661r_bool(cOMBC_892477410l_bool,member_list_char),U_5477)),hAPP_f1371002581r_bool(hAPP_f522372661r_bool(cOMBC_892477410l_bool,member_list_char),U_5476))),
    inference(clausify,[status(thm)],[f_1023_2]) ).

fof(f_1024_1,plain,
    ! [A_2,B_1] : semila751111325l_bool(A_2,B_1) = collec718040978on_val(cOMBS_1319864284l_bool(hAPP_f379976829l_bool(hAPP_f606945057l_bool(cOMBB_705522285on_val,fdisj),hAPP_f2036784149l_bool(hAPP_f1720452391l_bool(cOMBC_1021753250l_bool,member773094996on_val),A_2)),hAPP_f2036784149l_bool(hAPP_f1720452391l_bool(cOMBC_1021753250l_bool,member773094996on_val),B_1))),
    inference(fof_nnf,[status(thm)],[fact_882_Un__def]) ).

fof(f_1024_2,plain,
    ! [U_5479,U_5478] : semila751111325l_bool(U_5479,U_5478) = collec718040978on_val(cOMBS_1319864284l_bool(hAPP_f379976829l_bool(hAPP_f606945057l_bool(cOMBB_705522285on_val,fdisj),hAPP_f2036784149l_bool(hAPP_f1720452391l_bool(cOMBC_1021753250l_bool,member773094996on_val),U_5479)),hAPP_f2036784149l_bool(hAPP_f1720452391l_bool(cOMBC_1021753250l_bool,member773094996on_val),U_5478))),
    inference(variable_rename,[status(thm)],[f_1024_1]) ).

cnf(f_1024_3,plain,
    semila751111325l_bool(U_5479,U_5478) = collec718040978on_val(cOMBS_1319864284l_bool(hAPP_f379976829l_bool(hAPP_f606945057l_bool(cOMBB_705522285on_val,fdisj),hAPP_f2036784149l_bool(hAPP_f1720452391l_bool(cOMBC_1021753250l_bool,member773094996on_val),U_5479)),hAPP_f2036784149l_bool(hAPP_f1720452391l_bool(cOMBC_1021753250l_bool,member773094996on_val),U_5478))),
    inference(clausify,[status(thm)],[f_1024_2]) ).

fof(f_1025_1,plain,
    ! [A_2,B_1] : semila919158006r_bool(A_2,B_1) = semila919158006r_bool(B_1,A_2),
    inference(fof_nnf,[status(thm)],[fact_883_Un__commute]) ).

fof(f_1025_2,plain,
    ! [U_5481,U_5480] : semila919158006r_bool(U_5481,U_5480) = semila919158006r_bool(U_5480,U_5481),
    inference(variable_rename,[status(thm)],[f_1025_1]) ).

cnf(f_1025_3,plain,
    semila919158006r_bool(U_5481,U_5480) = semila919158006r_bool(U_5480,U_5481),
    inference(clausify,[status(thm)],[f_1025_2]) ).

fof(f_1026_1,plain,
    ! [E_1_1,E_2] : fv(seq_list_char(E_1_1,E_2)) = semila919158006r_bool(fv(E_1_1),fv(E_2)),
    inference(fof_nnf,[status(thm)],[fact_884_fv__fvs_Osimps_I11_J]) ).

fof(f_1026_2,plain,
    ! [U_5483,U_5482] : fv(seq_list_char(U_5483,U_5482)) = semila919158006r_bool(fv(U_5483),fv(U_5482)),
    inference(variable_rename,[status(thm)],[f_1026_1]) ).

cnf(f_1026_3,plain,
    fv(seq_list_char(U_5483,U_5482)) = semila919158006r_bool(fv(U_5483),fv(U_5482)),
    inference(clausify,[status(thm)],[f_1026_2]) ).

fof(f_1027_1,plain,
    ! [Pa,Va,S,E_b,S_2] :
      ( ( S_2 = S
        & E_b = hAPP_v834067052t_char(val_list_char,Va) )
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,hAPP_v834067052t_char(val_list_char,Va),S),E_b),S_2)) ),
    inference(fof_nnf,[status(thm)],[fact_885_eval__cases_I2_J]) ).

fof(f_1027_2,plain,
    ! [U_5488,U_5487,U_5486,U_5485,U_5484] :
      ( ( U_5484 = U_5486
        & U_5485 = hAPP_v834067052t_char(val_list_char,U_5487) )
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_5488,hAPP_v834067052t_char(val_list_char,U_5487),U_5486),U_5485),U_5484)) ),
    inference(variable_rename,[status(thm)],[f_1027_1]) ).

cnf(f_1027_3,plain,
    ( U_5485 = hAPP_v834067052t_char(val_list_char,U_5487)
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_5488,hAPP_v834067052t_char(val_list_char,U_5487),U_5486),U_5485),U_5484)) ),
    inference(clausify,[status(thm)],[f_1027_2]) ).

cnf(f_1027_4,plain,
    ( U_5484 = U_5486
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_5488,hAPP_v834067052t_char(val_list_char,U_5487),U_5486),U_5485),U_5484)) ),
    inference(clausify,[status(thm)],[f_1027_2]) ).

fof(f_1028_1,plain,
    ! [Pa,Va,S] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,hAPP_v834067052t_char(val_list_char,Va),S),hAPP_v834067052t_char(val_list_char,Va)),S)),
    inference(fof_nnf,[status(thm)],[fact_886_Val]) ).

fof(f_1028_2,plain,
    ! [U_5491,U_5490,U_5489] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_5491,hAPP_v834067052t_char(val_list_char,U_5490),U_5489),hAPP_v834067052t_char(val_list_char,U_5490)),U_5489)),
    inference(variable_rename,[status(thm)],[f_1028_1]) ).

cnf(f_1028_3,plain,
    hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_5491,hAPP_v834067052t_char(val_list_char,U_5490),U_5489),hAPP_v834067052t_char(val_list_char,U_5490)),U_5489)),
    inference(clausify,[status(thm)],[f_1028_2]) ).

fof(f_1029_1,plain,
    ! [Eb,Hb,Lb,E_b,H_b,L_b,Pa] :
      ( hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(dom_list_char_val(L_b)),semila919158006r_bool(dom_list_char_val(Lb),fv(Eb))))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),L_b)))),red(Pa))) ),
    inference(fof_nnf,[status(thm)],[fact_887_Red__dom__lcl]) ).

fof(f_1029_2,plain,
    ! [U_5498,U_5497,U_5496,U_5495,U_5494,U_5493,U_5492] :
      ( hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(dom_list_char_val(U_5493)),semila919158006r_bool(dom_list_char_val(U_5496),fv(U_5498))))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_5498),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_5497),U_5496))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_5495),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_5494),U_5493)))),red(U_5492))) ),
    inference(variable_rename,[status(thm)],[f_1029_1]) ).

fof(f_1029_3,plain,
    ! [U_5498,U_5497,U_5496,U_5495,U_5494,U_5493] :
      ( ! [U_5492] : ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_5498),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_5497),U_5496))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_5495),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_5494),U_5493)))),red(U_5492)))
      | hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(dom_list_char_val(U_5493)),semila919158006r_bool(dom_list_char_val(U_5496),fv(U_5498)))) ),
    inference(miniscope,[status(thm)],[f_1029_2]) ).

cnf(f_1029_4,plain,
    ( ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_5498),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_5497),U_5496))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_5495),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_5494),U_5493)))),red(U_5492)))
    | hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(dom_list_char_val(U_5493)),semila919158006r_bool(dom_list_char_val(U_5496),fv(U_5498)))) ),
    inference(clausify,[status(thm)],[f_1029_3]) ).

fof(f_1030_1,plain,
    ! [Pa,Eb,S,E_b,S_2] :
      ( hBOOL(final_list_char(E_b))
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S),E_b),S_2)) ),
    inference(fof_nnf,[status(thm)],[fact_888_eval__final]) ).

fof(f_1030_2,plain,
    ! [U_5503,U_5502,U_5501,U_5500,U_5499] :
      ( hBOOL(final_list_char(U_5500))
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_5503,U_5502,U_5501),U_5500),U_5499)) ),
    inference(variable_rename,[status(thm)],[f_1030_1]) ).

fof(f_1030_3,plain,
    ! [U_5503,U_5502,U_5501,U_5500] :
      ( ! [U_5499] : ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_5503,U_5502,U_5501),U_5500),U_5499))
      | hBOOL(final_list_char(U_5500)) ),
    inference(miniscope,[status(thm)],[f_1030_2]) ).

cnf(f_1030_4,plain,
    ( ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_5503,U_5502,U_5501),U_5500),U_5499))
    | hBOOL(final_list_char(U_5500)) ),
    inference(clausify,[status(thm)],[f_1030_3]) ).

fof(f_1031_1,plain,
    ! [Pa,S,Eb] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S),Eb),S))
      | ~ hBOOL(final_list_char(Eb)) ),
    inference(fof_nnf,[status(thm)],[fact_889_eval__finalId]) ).

fof(f_1031_2,plain,
    ! [U_5506,U_5505,U_5504] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_5506,U_5504,U_5505),U_5504),U_5505))
      | ~ hBOOL(final_list_char(U_5504)) ),
    inference(variable_rename,[status(thm)],[f_1031_1]) ).

cnf(f_1031_3,plain,
    ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_5506,U_5504,U_5505),U_5504),U_5505))
    | ~ hBOOL(final_list_char(U_5504)) ),
    inference(clausify,[status(thm)],[f_1031_2]) ).

fof(f_1032_1,plain,
    ! [Pa,Va_1,Ta,E_1_1,S,E_b,S_2] :
      ( ? [H_0_1,L_0_1] :
          ( ? [H_1_1,L_1_2] :
              ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1_1,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_0_1),fun_up1149430426on_val(L_0_1,Va_1,none_val))),E_b),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_1_1),L_1_2)))
              & S_2 = hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_1_1),fun_up1149430426on_val(L_1_2,Va_1,hAPP_l207779698on_val(L_0_1,Va_1))) )
          & S = hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_0_1),L_0_1) )
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,block_list_char(Va_1,Ta,E_1_1),S),E_b),S_2)) ),
    inference(fof_nnf,[status(thm)],[fact_890_eval__cases_I8_J]) ).

fof(f_1032_2,plain,
    ! [U_5517,U_5516,U_5515,U_5514,U_5513,U_5512,U_5511] :
      ( ? [U_5510,U_5509] :
          ( ? [U_5508,U_5507] :
              ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_5517,U_5514,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_5510),fun_up1149430426on_val(U_5509,U_5516,none_val))),U_5512),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_5508),U_5507)))
              & U_5511 = hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_5508),fun_up1149430426on_val(U_5507,U_5516,hAPP_l207779698on_val(U_5509,U_5516))) )
          & U_5513 = hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_5510),U_5509) )
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_5517,block_list_char(U_5516,U_5515,U_5514),U_5513),U_5512),U_5511)) ),
    inference(variable_rename,[status(thm)],[f_1032_1]) ).

fof(f_1032_3,plain,
    ! [U_5517,U_5516,U_5515,U_5514,U_5513,U_5512,U_5511] :
      ( ? [U_5509] :
          ( ? [U_5508,U_5507] :
              ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_5517,U_5514,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK950(U_5517,U_5516,U_5515,U_5514,U_5513,U_5512,U_5511)),fun_up1149430426on_val(U_5509,U_5516,none_val))),U_5512),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_5508),U_5507)))
              & U_5511 = hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_5508),fun_up1149430426on_val(U_5507,U_5516,hAPP_l207779698on_val(U_5509,U_5516))) )
          & U_5513 = hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK950(U_5517,U_5516,U_5515,U_5514,U_5513,U_5512,U_5511)),U_5509) )
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_5517,block_list_char(U_5516,U_5515,U_5514),U_5513),U_5512),U_5511)) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK950]),skolemize(U_5510,sK950(U_5517,U_5516,U_5515,U_5514,U_5513,U_5512,U_5511))],[f_1032_2]) ).

fof(f_1032_4,plain,
    ! [U_5517,U_5516,U_5515,U_5514,U_5513,U_5512,U_5511] :
      ( ( ? [U_5508,U_5507] :
            ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_5517,U_5514,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK950(U_5517,U_5516,U_5515,U_5514,U_5513,U_5512,U_5511)),fun_up1149430426on_val(sK951(U_5517,U_5516,U_5515,U_5514,U_5513,U_5512,U_5511),U_5516,none_val))),U_5512),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_5508),U_5507)))
            & U_5511 = hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_5508),fun_up1149430426on_val(U_5507,U_5516,hAPP_l207779698on_val(sK951(U_5517,U_5516,U_5515,U_5514,U_5513,U_5512,U_5511),U_5516))) )
        & U_5513 = hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK950(U_5517,U_5516,U_5515,U_5514,U_5513,U_5512,U_5511)),sK951(U_5517,U_5516,U_5515,U_5514,U_5513,U_5512,U_5511)) )
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_5517,block_list_char(U_5516,U_5515,U_5514),U_5513),U_5512),U_5511)) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK951]),skolemize(U_5509,sK951(U_5517,U_5516,U_5515,U_5514,U_5513,U_5512,U_5511))],[f_1032_3]) ).

fof(f_1032_5,plain,
    ! [U_5517,U_5516,U_5515,U_5514,U_5513,U_5512,U_5511] :
      ( ( ? [U_5507] :
            ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_5517,U_5514,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK950(U_5517,U_5516,U_5515,U_5514,U_5513,U_5512,U_5511)),fun_up1149430426on_val(sK951(U_5517,U_5516,U_5515,U_5514,U_5513,U_5512,U_5511),U_5516,none_val))),U_5512),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK952(U_5517,U_5516,U_5515,U_5514,U_5513,U_5512,U_5511)),U_5507)))
            & U_5511 = hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK952(U_5517,U_5516,U_5515,U_5514,U_5513,U_5512,U_5511)),fun_up1149430426on_val(U_5507,U_5516,hAPP_l207779698on_val(sK951(U_5517,U_5516,U_5515,U_5514,U_5513,U_5512,U_5511),U_5516))) )
        & U_5513 = hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK950(U_5517,U_5516,U_5515,U_5514,U_5513,U_5512,U_5511)),sK951(U_5517,U_5516,U_5515,U_5514,U_5513,U_5512,U_5511)) )
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_5517,block_list_char(U_5516,U_5515,U_5514),U_5513),U_5512),U_5511)) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK952]),skolemize(U_5508,sK952(U_5517,U_5516,U_5515,U_5514,U_5513,U_5512,U_5511))],[f_1032_4]) ).

fof(f_1032_6,plain,
    ! [U_5517,U_5516,U_5515,U_5514,U_5513,U_5512,U_5511] :
      ( ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_5517,U_5514,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK950(U_5517,U_5516,U_5515,U_5514,U_5513,U_5512,U_5511)),fun_up1149430426on_val(sK951(U_5517,U_5516,U_5515,U_5514,U_5513,U_5512,U_5511),U_5516,none_val))),U_5512),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK952(U_5517,U_5516,U_5515,U_5514,U_5513,U_5512,U_5511)),sK953(U_5517,U_5516,U_5515,U_5514,U_5513,U_5512,U_5511))))
        & U_5511 = hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK952(U_5517,U_5516,U_5515,U_5514,U_5513,U_5512,U_5511)),fun_up1149430426on_val(sK953(U_5517,U_5516,U_5515,U_5514,U_5513,U_5512,U_5511),U_5516,hAPP_l207779698on_val(sK951(U_5517,U_5516,U_5515,U_5514,U_5513,U_5512,U_5511),U_5516)))
        & U_5513 = hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK950(U_5517,U_5516,U_5515,U_5514,U_5513,U_5512,U_5511)),sK951(U_5517,U_5516,U_5515,U_5514,U_5513,U_5512,U_5511)) )
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_5517,block_list_char(U_5516,U_5515,U_5514),U_5513),U_5512),U_5511)) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK953]),skolemize(U_5507,sK953(U_5517,U_5516,U_5515,U_5514,U_5513,U_5512,U_5511))],[f_1032_5]) ).

cnf(f_1032_7,plain,
    ( U_5513 = hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK950(U_5517,U_5516,U_5515,U_5514,U_5513,U_5512,U_5511)),sK951(U_5517,U_5516,U_5515,U_5514,U_5513,U_5512,U_5511))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_5517,block_list_char(U_5516,U_5515,U_5514),U_5513),U_5512),U_5511)) ),
    inference(clausify,[status(thm)],[f_1032_6]) ).

cnf(f_1032_8,plain,
    ( U_5511 = hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK952(U_5517,U_5516,U_5515,U_5514,U_5513,U_5512,U_5511)),fun_up1149430426on_val(sK953(U_5517,U_5516,U_5515,U_5514,U_5513,U_5512,U_5511),U_5516,hAPP_l207779698on_val(sK951(U_5517,U_5516,U_5515,U_5514,U_5513,U_5512,U_5511),U_5516)))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_5517,block_list_char(U_5516,U_5515,U_5514),U_5513),U_5512),U_5511)) ),
    inference(clausify,[status(thm)],[f_1032_6]) ).

cnf(f_1032_9,plain,
    ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_5517,U_5514,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK950(U_5517,U_5516,U_5515,U_5514,U_5513,U_5512,U_5511)),fun_up1149430426on_val(sK951(U_5517,U_5516,U_5515,U_5514,U_5513,U_5512,U_5511),U_5516,none_val))),U_5512),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK952(U_5517,U_5516,U_5515,U_5514,U_5513,U_5512,U_5511)),sK953(U_5517,U_5516,U_5515,U_5514,U_5513,U_5512,U_5511))))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_5517,block_list_char(U_5516,U_5515,U_5514),U_5513),U_5512),U_5511)) ),
    inference(clausify,[status(thm)],[f_1032_6]) ).

fof(f_1033_1,plain,
    ! [W,Eb,Hb,Lb,E_b,H_b,L_b,Pa] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),restri761823004ar_val(Lb,W))),E_b),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),restri761823004ar_val(L_b,W))))
      | ~ hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(fv(Eb)),W))
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb)),E_b),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),L_b)))
      | ~ hBOOL(wf_pro755087577t_char(wwf_J_mdecl,Pa)) ),
    inference(fof_nnf,[status(thm)],[fact_891_eval__restrict__lcl]) ).

fof(f_1033_2,plain,
    ! [U_5525,U_5524,U_5523,U_5522,U_5521,U_5520,U_5519,U_5518] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_5518,U_5524,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_5523),restri761823004ar_val(U_5522,U_5525))),U_5521),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_5520),restri761823004ar_val(U_5519,U_5525))))
      | ~ hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(fv(U_5524)),U_5525))
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_5518,U_5524,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_5523),U_5522)),U_5521),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_5520),U_5519)))
      | ~ hBOOL(wf_pro755087577t_char(wwf_J_mdecl,U_5518)) ),
    inference(variable_rename,[status(thm)],[f_1033_1]) ).

cnf(f_1033_3,plain,
    ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_5518,U_5524,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_5523),restri761823004ar_val(U_5522,U_5525))),U_5521),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_5520),restri761823004ar_val(U_5519,U_5525))))
    | ~ hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(fv(U_5524)),U_5525))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_5518,U_5524,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_5523),U_5522)),U_5521),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_5520),U_5519)))
    | ~ hBOOL(wf_pro755087577t_char(wwf_J_mdecl,U_5518)) ),
    inference(clausify,[status(thm)],[f_1033_2]) ).

fof(f_1034_1,plain,
    ! [F,D,C,Fs,E_2,Va,H_2,L_2,E_1_1,S_0,A,S_1,Pa] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAss_list_char(E_1_1,F,D,E_2)),S_0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,unit)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,fun_up2041264236on_val(H_2,A,hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),fun_up204312361on_val(Fs,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,F),D),hAPP_val_option_val(some_val,Va)))))),L_2)))),transi2024712006on_val(red(Pa))))
      | hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),Fs)) != hAPP_n546249108on_val(H_2,A)
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_2),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,Va)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_2),L_2)))),transi2024712006on_val(red(Pa))))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_1_1),S_0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,addr(A))),S_1))),transi2024712006on_val(red(Pa)))) ),
    inference(fof_nnf,[status(thm)],[fact_892_FAssRedsVal]) ).

fof(f_1034_2,plain,
    ! [U_5538,U_5537,U_5536,U_5535,U_5534,U_5533,U_5532,U_5531,U_5530,U_5529,U_5528,U_5527,U_5526] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAss_list_char(U_5530,U_5538,U_5537,U_5534)),U_5529)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,unit)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,fun_up2041264236on_val(U_5532,U_5528,hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_5536),fun_up204312361on_val(U_5535,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_5538),U_5537),hAPP_val_option_val(some_val,U_5533)))))),U_5531)))),transi2024712006on_val(red(U_5526))))
      | hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_5536),U_5535)) != hAPP_n546249108on_val(U_5532,U_5528)
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_5534),U_5527)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,U_5533)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_5532),U_5531)))),transi2024712006on_val(red(U_5526))))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_5530),U_5529)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,addr(U_5528))),U_5527))),transi2024712006on_val(red(U_5526)))) ),
    inference(variable_rename,[status(thm)],[f_1034_1]) ).

cnf(f_1034_3,plain,
    ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAss_list_char(U_5530,U_5538,U_5537,U_5534)),U_5529)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,unit)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,fun_up2041264236on_val(U_5532,U_5528,hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_5536),fun_up204312361on_val(U_5535,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_5538),U_5537),hAPP_val_option_val(some_val,U_5533)))))),U_5531)))),transi2024712006on_val(red(U_5526))))
    | hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_5536),U_5535)) != hAPP_n546249108on_val(U_5532,U_5528)
    | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_5534),U_5527)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,U_5533)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_5532),U_5531)))),transi2024712006on_val(red(U_5526))))
    | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_5530),U_5529)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,addr(U_5528))),U_5527))),transi2024712006on_val(red(U_5526)))) ),
    inference(clausify,[status(thm)],[f_1034_2]) ).

fof(f_1035_1,plain,
    ! [F,D,E_2,Pa,Eb,S,E_b,S_2] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,fAss_list_char(Eb,F,D,E_2),S),fAss_list_char(E_b,F,D,E_2)),S_2))
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Eb,S),E_b),S_2)) ),
    inference(fof_nnf,[status(thm)],[fact_893_redp__redsp_OFAssRed1]) ).

fof(f_1035_2,plain,
    ! [U_5546,U_5545,U_5544,U_5543,U_5542,U_5541,U_5540,U_5539] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(U_5543,fAss_list_char(U_5542,U_5546,U_5545,U_5544),U_5541),fAss_list_char(U_5540,U_5546,U_5545,U_5544)),U_5539))
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(U_5543,U_5542,U_5541),U_5540),U_5539)) ),
    inference(variable_rename,[status(thm)],[f_1035_1]) ).

cnf(f_1035_3,plain,
    ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(U_5543,fAss_list_char(U_5542,U_5546,U_5545,U_5544),U_5541),fAss_list_char(U_5540,U_5546,U_5545,U_5544)),U_5539))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(U_5543,U_5542,U_5541),U_5540),U_5539)) ),
    inference(clausify,[status(thm)],[f_1035_2]) ).

fof(f_1036_1,plain,
    ! [Va,F,D,Pa,Eb,S,E_b,S_2] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,fAss_list_char(hAPP_v834067052t_char(val_list_char,Va),F,D,Eb),S),fAss_list_char(hAPP_v834067052t_char(val_list_char,Va),F,D,E_b)),S_2))
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Eb,S),E_b),S_2)) ),
    inference(fof_nnf,[status(thm)],[fact_894_redp__redsp_OFAssRed2]) ).

fof(f_1036_2,plain,
    ! [U_5554,U_5553,U_5552,U_5551,U_5550,U_5549,U_5548,U_5547] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(U_5551,fAss_list_char(hAPP_v834067052t_char(val_list_char,U_5554),U_5553,U_5552,U_5550),U_5549),fAss_list_char(hAPP_v834067052t_char(val_list_char,U_5554),U_5553,U_5552,U_5548)),U_5547))
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(U_5551,U_5550,U_5549),U_5548),U_5547)) ),
    inference(variable_rename,[status(thm)],[f_1036_1]) ).

cnf(f_1036_3,plain,
    ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(U_5551,fAss_list_char(hAPP_v834067052t_char(val_list_char,U_5554),U_5553,U_5552,U_5550),U_5549),fAss_list_char(hAPP_v834067052t_char(val_list_char,U_5554),U_5553,U_5552,U_5548)),U_5547))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(U_5551,U_5550,U_5549),U_5548),U_5547)) ),
    inference(clausify,[status(thm)],[f_1036_2]) ).

fof(f_1037_1,plain,
    ! [E_1_1,F,D,E_2] : fv(fAss_list_char(E_1_1,F,D,E_2)) = semila919158006r_bool(fv(E_1_1),fv(E_2)),
    inference(fof_nnf,[status(thm)],[fact_895_fv__fvs_Osimps_I8_J]) ).

fof(f_1037_2,plain,
    ! [U_5558,U_5557,U_5556,U_5555] : fv(fAss_list_char(U_5558,U_5557,U_5556,U_5555)) = semila919158006r_bool(fv(U_5558),fv(U_5555)),
    inference(variable_rename,[status(thm)],[f_1037_1]) ).

cnf(f_1037_3,plain,
    fv(fAss_list_char(U_5558,U_5557,U_5556,U_5555)) = semila919158006r_bool(fv(U_5558),fv(U_5555)),
    inference(clausify,[status(thm)],[f_1037_2]) ).

fof(f_1038_1,plain,
    ! [F,D,E_2,Eb,S,E_b,S_2,Pa] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAss_list_char(Eb,F,D,E_2)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAss_list_char(E_b,F,D,E_2)),S_2))),red(Pa)))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_2))),red(Pa))) ),
    inference(fof_nnf,[status(thm)],[fact_896_red__reds_OFAssRed1]) ).

fof(f_1038_2,plain,
    ! [U_5566,U_5565,U_5564,U_5563,U_5562,U_5561,U_5560,U_5559] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAss_list_char(U_5563,U_5566,U_5565,U_5564)),U_5562)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAss_list_char(U_5561,U_5566,U_5565,U_5564)),U_5560))),red(U_5559)))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_5563),U_5562)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_5561),U_5560))),red(U_5559))) ),
    inference(variable_rename,[status(thm)],[f_1038_1]) ).

cnf(f_1038_3,plain,
    ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAss_list_char(U_5563,U_5566,U_5565,U_5564)),U_5562)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAss_list_char(U_5561,U_5566,U_5565,U_5564)),U_5560))),red(U_5559)))
    | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_5563),U_5562)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_5561),U_5560))),red(U_5559))) ),
    inference(clausify,[status(thm)],[f_1038_2]) ).

fof(f_1039_1,plain,
    ! [Va,F,D,Eb,S,E_b,S_2,Pa] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAss_list_char(hAPP_v834067052t_char(val_list_char,Va),F,D,Eb)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAss_list_char(hAPP_v834067052t_char(val_list_char,Va),F,D,E_b)),S_2))),red(Pa)))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_2))),red(Pa))) ),
    inference(fof_nnf,[status(thm)],[fact_897_red__reds_OFAssRed2]) ).

fof(f_1039_2,plain,
    ! [U_5574,U_5573,U_5572,U_5571,U_5570,U_5569,U_5568,U_5567] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAss_list_char(hAPP_v834067052t_char(val_list_char,U_5574),U_5573,U_5572,U_5571)),U_5570)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAss_list_char(hAPP_v834067052t_char(val_list_char,U_5574),U_5573,U_5572,U_5569)),U_5568))),red(U_5567)))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_5571),U_5570)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_5569),U_5568))),red(U_5567))) ),
    inference(variable_rename,[status(thm)],[f_1039_1]) ).

cnf(f_1039_3,plain,
    ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAss_list_char(hAPP_v834067052t_char(val_list_char,U_5574),U_5573,U_5572,U_5571)),U_5570)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAss_list_char(hAPP_v834067052t_char(val_list_char,U_5574),U_5573,U_5572,U_5569)),U_5568))),red(U_5567)))
    | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_5571),U_5570)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_5569),U_5568))),red(U_5567))) ),
    inference(clausify,[status(thm)],[f_1039_2]) ).

fof(f_1040_1,plain,
    ! [F,D,E_2,Eb,S,E_b,S_2,Pa] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAss_list_char(Eb,F,D,E_2)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAss_list_char(E_b,F,D,E_2)),S_2))),transi2024712006on_val(red(Pa))))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_2))),transi2024712006on_val(red(Pa)))) ),
    inference(fof_nnf,[status(thm)],[fact_898_FAssReds1]) ).

fof(f_1040_2,plain,
    ! [U_5582,U_5581,U_5580,U_5579,U_5578,U_5577,U_5576,U_5575] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAss_list_char(U_5579,U_5582,U_5581,U_5580)),U_5578)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAss_list_char(U_5577,U_5582,U_5581,U_5580)),U_5576))),transi2024712006on_val(red(U_5575))))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_5579),U_5578)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_5577),U_5576))),transi2024712006on_val(red(U_5575)))) ),
    inference(variable_rename,[status(thm)],[f_1040_1]) ).

cnf(f_1040_3,plain,
    ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAss_list_char(U_5579,U_5582,U_5581,U_5580)),U_5578)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAss_list_char(U_5577,U_5582,U_5581,U_5580)),U_5576))),transi2024712006on_val(red(U_5575))))
    | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_5579),U_5578)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_5577),U_5576))),transi2024712006on_val(red(U_5575)))) ),
    inference(clausify,[status(thm)],[f_1040_2]) ).

fof(f_1041_1,plain,
    ! [Va,F,D,Eb,S,E_b,S_2,Pa] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAss_list_char(hAPP_v834067052t_char(val_list_char,Va),F,D,Eb)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAss_list_char(hAPP_v834067052t_char(val_list_char,Va),F,D,E_b)),S_2))),transi2024712006on_val(red(Pa))))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_2))),transi2024712006on_val(red(Pa)))) ),
    inference(fof_nnf,[status(thm)],[fact_899_FAssReds2]) ).

fof(f_1041_2,plain,
    ! [U_5590,U_5589,U_5588,U_5587,U_5586,U_5585,U_5584,U_5583] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAss_list_char(hAPP_v834067052t_char(val_list_char,U_5590),U_5589,U_5588,U_5587)),U_5586)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAss_list_char(hAPP_v834067052t_char(val_list_char,U_5590),U_5589,U_5588,U_5585)),U_5584))),transi2024712006on_val(red(U_5583))))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_5587),U_5586)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_5585),U_5584))),transi2024712006on_val(red(U_5583)))) ),
    inference(variable_rename,[status(thm)],[f_1041_1]) ).

cnf(f_1041_3,plain,
    ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAss_list_char(hAPP_v834067052t_char(val_list_char,U_5590),U_5589,U_5588,U_5587)),U_5586)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAss_list_char(hAPP_v834067052t_char(val_list_char,U_5590),U_5589,U_5588,U_5585)),U_5584))),transi2024712006on_val(red(U_5583))))
    | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_5587),U_5586)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_5585),U_5584))),transi2024712006on_val(red(U_5583)))) ),
    inference(clausify,[status(thm)],[f_1041_2]) ).

fof(f_1042_1,plain,
    ! [H_2_1,Fs_2,F,D,C,Fs,E_2,Va,H_2,L_2,Pa,E_1_1,S_0,A,S_1] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,fAss_list_char(E_1_1,F,D,E_2),S_0),hAPP_v834067052t_char(val_list_char,unit)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_2_1),L_2)))
      | H_2_1 != fun_up2041264236on_val(H_2,A,hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),Fs_2)))
      | Fs_2 != fun_up204312361on_val(Fs,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,F),D),hAPP_val_option_val(some_val,Va))
      | hAPP_n546249108on_val(H_2,A) != hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),Fs))
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_2,S_1),hAPP_v834067052t_char(val_list_char,Va)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_2),L_2)))
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1_1,S_0),hAPP_v834067052t_char(val_list_char,addr(A))),S_1)) ),
    inference(fof_nnf,[status(thm)],[fact_900_FAss]) ).

fof(f_1042_2,plain,
    ! [U_5605,U_5604,U_5603,U_5602,U_5601,U_5600,U_5599,U_5598,U_5597,U_5596,U_5595,U_5594,U_5593,U_5592,U_5591] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_5595,fAss_list_char(U_5594,U_5603,U_5602,U_5599),U_5593),hAPP_v834067052t_char(val_list_char,unit)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_5605),U_5596)))
      | U_5605 != fun_up2041264236on_val(U_5597,U_5592,hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_5601),U_5604)))
      | U_5604 != fun_up204312361on_val(U_5600,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_5603),U_5602),hAPP_val_option_val(some_val,U_5598))
      | hAPP_n546249108on_val(U_5597,U_5592) != hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_5601),U_5600))
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_5595,U_5599,U_5591),hAPP_v834067052t_char(val_list_char,U_5598)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_5597),U_5596)))
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_5595,U_5594,U_5593),hAPP_v834067052t_char(val_list_char,addr(U_5592))),U_5591)) ),
    inference(variable_rename,[status(thm)],[f_1042_1]) ).

cnf(f_1042_3,plain,
    ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_5595,fAss_list_char(U_5594,U_5603,U_5602,U_5599),U_5593),hAPP_v834067052t_char(val_list_char,unit)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_5605),U_5596)))
    | U_5605 != fun_up2041264236on_val(U_5597,U_5592,hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_5601),U_5604)))
    | U_5604 != fun_up204312361on_val(U_5600,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_5603),U_5602),hAPP_val_option_val(some_val,U_5598))
    | hAPP_n546249108on_val(U_5597,U_5592) != hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_5601),U_5600))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_5595,U_5599,U_5591),hAPP_v834067052t_char(val_list_char,U_5598)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_5597),U_5596)))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_5595,U_5594,U_5593),hAPP_v834067052t_char(val_list_char,addr(U_5592))),U_5591)) ),
    inference(clausify,[status(thm)],[f_1042_2]) ).

fof(f_1043_1,plain,
    ! [Pa,F,D,Va,Lb,Hb,A,C,Fs] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,fAss_list_char(hAPP_v834067052t_char(val_list_char,addr(A)),F,D,hAPP_v834067052t_char(val_list_char,Va)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb)),hAPP_v834067052t_char(val_list_char,unit)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,fun_up2041264236on_val(Hb,A,hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),fun_up204312361on_val(Fs,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,F),D),hAPP_val_option_val(some_val,Va)))))),Lb)))
      | hAPP_n546249108on_val(Hb,A) != hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),Fs)) ),
    inference(fof_nnf,[status(thm)],[fact_901_redp__redsp_ORedFAss]) ).

fof(f_1043_2,plain,
    ! [U_5614,U_5613,U_5612,U_5611,U_5610,U_5609,U_5608,U_5607,U_5606] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(U_5614,fAss_list_char(hAPP_v834067052t_char(val_list_char,addr(U_5608)),U_5613,U_5612,hAPP_v834067052t_char(val_list_char,U_5611)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_5609),U_5610)),hAPP_v834067052t_char(val_list_char,unit)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,fun_up2041264236on_val(U_5609,U_5608,hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_5607),fun_up204312361on_val(U_5606,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_5613),U_5612),hAPP_val_option_val(some_val,U_5611)))))),U_5610)))
      | hAPP_n546249108on_val(U_5609,U_5608) != hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_5607),U_5606)) ),
    inference(variable_rename,[status(thm)],[f_1043_1]) ).

cnf(f_1043_3,plain,
    ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(U_5614,fAss_list_char(hAPP_v834067052t_char(val_list_char,addr(U_5608)),U_5613,U_5612,hAPP_v834067052t_char(val_list_char,U_5611)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_5609),U_5610)),hAPP_v834067052t_char(val_list_char,unit)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,fun_up2041264236on_val(U_5609,U_5608,hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_5607),fun_up204312361on_val(U_5606,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_5613),U_5612),hAPP_val_option_val(some_val,U_5611)))))),U_5610)))
    | hAPP_n546249108on_val(U_5609,U_5608) != hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_5607),U_5606)) ),
    inference(clausify,[status(thm)],[f_1043_2]) ).

fof(f_1044_1,plain,
    ! [F,D,Va,Lb,Pa,Hb,A,C,Fs] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAss_list_char(hAPP_v834067052t_char(val_list_char,addr(A)),F,D,hAPP_v834067052t_char(val_list_char,Va))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,unit)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,fun_up2041264236on_val(Hb,A,hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),fun_up204312361on_val(Fs,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,F),D),hAPP_val_option_val(some_val,Va)))))),Lb)))),red(Pa)))
      | hAPP_n546249108on_val(Hb,A) != hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),Fs)) ),
    inference(fof_nnf,[status(thm)],[fact_902_red__reds_ORedFAss]) ).

fof(f_1044_2,plain,
    ! [U_5623,U_5622,U_5621,U_5620,U_5619,U_5618,U_5617,U_5616,U_5615] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAss_list_char(hAPP_v834067052t_char(val_list_char,addr(U_5617)),U_5623,U_5622,hAPP_v834067052t_char(val_list_char,U_5621))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_5618),U_5620))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,unit)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,fun_up2041264236on_val(U_5618,U_5617,hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_5616),fun_up204312361on_val(U_5615,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_5623),U_5622),hAPP_val_option_val(some_val,U_5621)))))),U_5620)))),red(U_5619)))
      | hAPP_n546249108on_val(U_5618,U_5617) != hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_5616),U_5615)) ),
    inference(variable_rename,[status(thm)],[f_1044_1]) ).

cnf(f_1044_3,plain,
    ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAss_list_char(hAPP_v834067052t_char(val_list_char,addr(U_5617)),U_5623,U_5622,hAPP_v834067052t_char(val_list_char,U_5621))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_5618),U_5620))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,unit)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,fun_up2041264236on_val(U_5618,U_5617,hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_5616),fun_up204312361on_val(U_5615,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_5623),U_5622),hAPP_val_option_val(some_val,U_5621)))))),U_5620)))),red(U_5619)))
    | hAPP_n546249108on_val(U_5618,U_5617) != hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_5616),U_5615)) ),
    inference(clausify,[status(thm)],[f_1044_2]) ).

fof(f_1045_1,plain,
    ! [F,D,Va,C,Fs,Eb,S,A,S_2,Pa] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAcc_list_char(Eb,F,D)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,Va)),S_2))),transi2024712006on_val(red(Pa))))
      | hAPP_P2094403585on_val(Fs,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,F),D)) != hAPP_val_option_val(some_val,Va)
      | hAPP_n546249108on_val(hp(S_2),A) != hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),Fs))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,addr(A))),S_2))),transi2024712006on_val(red(Pa)))) ),
    inference(fof_nnf,[status(thm)],[fact_903_FAccRedsVal]) ).

fof(f_1045_2,plain,
    ! [U_5633,U_5632,U_5631,U_5630,U_5629,U_5628,U_5627,U_5626,U_5625,U_5624] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAcc_list_char(U_5628,U_5633,U_5632)),U_5627)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,U_5631)),U_5625))),transi2024712006on_val(red(U_5624))))
      | hAPP_P2094403585on_val(U_5629,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_5633),U_5632)) != hAPP_val_option_val(some_val,U_5631)
      | hAPP_n546249108on_val(hp(U_5625),U_5626) != hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_5630),U_5629))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_5628),U_5627)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,addr(U_5626))),U_5625))),transi2024712006on_val(red(U_5624)))) ),
    inference(variable_rename,[status(thm)],[f_1045_1]) ).

cnf(f_1045_3,plain,
    ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAcc_list_char(U_5628,U_5633,U_5632)),U_5627)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,U_5631)),U_5625))),transi2024712006on_val(red(U_5624))))
    | hAPP_P2094403585on_val(U_5629,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_5633),U_5632)) != hAPP_val_option_val(some_val,U_5631)
    | hAPP_n546249108on_val(hp(U_5625),U_5626) != hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_5630),U_5629))
    | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_5628),U_5627)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,addr(U_5626))),U_5625))),transi2024712006on_val(red(U_5624)))) ),
    inference(clausify,[status(thm)],[f_1045_2]) ).

fof(f_1046_1,plain,
    ! [Pa,F,D,Va,S,A,C,Fs] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAcc_list_char(hAPP_v834067052t_char(val_list_char,addr(A)),F,D)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,Va)),S))),red(Pa)))
      | hAPP_P2094403585on_val(Fs,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,F),D)) != hAPP_val_option_val(some_val,Va)
      | hAPP_n546249108on_val(hp(S),A) != hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),Fs)) ),
    inference(fof_nnf,[status(thm)],[fact_904_red__reds_ORedFAcc]) ).

fof(f_1046_2,plain,
    ! [U_5641,U_5640,U_5639,U_5638,U_5637,U_5636,U_5635,U_5634] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAcc_list_char(hAPP_v834067052t_char(val_list_char,addr(U_5636)),U_5640,U_5639)),U_5637)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,U_5638)),U_5637))),red(U_5641)))
      | hAPP_P2094403585on_val(U_5634,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_5640),U_5639)) != hAPP_val_option_val(some_val,U_5638)
      | hAPP_n546249108on_val(hp(U_5637),U_5636) != hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_5635),U_5634)) ),
    inference(variable_rename,[status(thm)],[f_1046_1]) ).

cnf(f_1046_3,plain,
    ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAcc_list_char(hAPP_v834067052t_char(val_list_char,addr(U_5636)),U_5640,U_5639)),U_5637)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,U_5638)),U_5637))),red(U_5641)))
    | hAPP_P2094403585on_val(U_5634,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_5640),U_5639)) != hAPP_val_option_val(some_val,U_5638)
    | hAPP_n546249108on_val(hp(U_5637),U_5636) != hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_5635),U_5634)) ),
    inference(clausify,[status(thm)],[f_1046_2]) ).

fof(f_1047_1,plain,
    ! [Pa,F,D,Va,S,A,C,Fs] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,fAcc_list_char(hAPP_v834067052t_char(val_list_char,addr(A)),F,D),S),hAPP_v834067052t_char(val_list_char,Va)),S))
      | hAPP_P2094403585on_val(Fs,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,F),D)) != hAPP_val_option_val(some_val,Va)
      | hAPP_n546249108on_val(hp(S),A) != hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),Fs)) ),
    inference(fof_nnf,[status(thm)],[fact_905_redp__redsp_ORedFAcc]) ).

fof(f_1047_2,plain,
    ! [U_5649,U_5648,U_5647,U_5646,U_5645,U_5644,U_5643,U_5642] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(U_5649,fAcc_list_char(hAPP_v834067052t_char(val_list_char,addr(U_5644)),U_5648,U_5647),U_5645),hAPP_v834067052t_char(val_list_char,U_5646)),U_5645))
      | hAPP_P2094403585on_val(U_5642,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_5648),U_5647)) != hAPP_val_option_val(some_val,U_5646)
      | hAPP_n546249108on_val(hp(U_5645),U_5644) != hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_5643),U_5642)) ),
    inference(variable_rename,[status(thm)],[f_1047_1]) ).

cnf(f_1047_3,plain,
    ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(U_5649,fAcc_list_char(hAPP_v834067052t_char(val_list_char,addr(U_5644)),U_5648,U_5647),U_5645),hAPP_v834067052t_char(val_list_char,U_5646)),U_5645))
    | hAPP_P2094403585on_val(U_5642,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_5648),U_5647)) != hAPP_val_option_val(some_val,U_5646)
    | hAPP_n546249108on_val(hp(U_5645),U_5644) != hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_5643),U_5642)) ),
    inference(clausify,[status(thm)],[f_1047_2]) ).

fof(f_1048_1,plain,
    ! [F,D,Va,C,Fs,Pa,Eb,S_0,A,Hb,Lb] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,fAcc_list_char(Eb,F,D),S_0),hAPP_v834067052t_char(val_list_char,Va)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb)))
      | hAPP_P2094403585on_val(Fs,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,F),D)) != hAPP_val_option_val(some_val,Va)
      | hAPP_n546249108on_val(Hb,A) != hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),Fs))
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S_0),hAPP_v834067052t_char(val_list_char,addr(A))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb))) ),
    inference(fof_nnf,[status(thm)],[fact_906_FAcc]) ).

fof(f_1048_2,plain,
    ! [U_5660,U_5659,U_5658,U_5657,U_5656,U_5655,U_5654,U_5653,U_5652,U_5651,U_5650] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_5655,fAcc_list_char(U_5654,U_5660,U_5659),U_5653),hAPP_v834067052t_char(val_list_char,U_5658)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_5651),U_5650)))
      | hAPP_P2094403585on_val(U_5656,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_5660),U_5659)) != hAPP_val_option_val(some_val,U_5658)
      | hAPP_n546249108on_val(U_5651,U_5652) != hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_5657),U_5656))
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_5655,U_5654,U_5653),hAPP_v834067052t_char(val_list_char,addr(U_5652))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_5651),U_5650))) ),
    inference(variable_rename,[status(thm)],[f_1048_1]) ).

cnf(f_1048_3,plain,
    ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_5655,fAcc_list_char(U_5654,U_5660,U_5659),U_5653),hAPP_v834067052t_char(val_list_char,U_5658)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_5651),U_5650)))
    | hAPP_P2094403585on_val(U_5656,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_5660),U_5659)) != hAPP_val_option_val(some_val,U_5658)
    | hAPP_n546249108on_val(U_5651,U_5652) != hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_5657),U_5656))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_5655,U_5654,U_5653),hAPP_v834067052t_char(val_list_char,addr(U_5652))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_5651),U_5650))) ),
    inference(clausify,[status(thm)],[f_1048_2]) ).

fof(f_1049_1,plain,
    ! [Va_1,Ta,Va,A,S,Pa] : hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,block_list_char(Va_1,Ta,seq_list_char(lAss_list_char(Va_1,hAPP_v834067052t_char(val_list_char,Va)),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A)))))),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A)))),S))),red(Pa))),
    inference(fof_nnf,[status(thm)],[fact_907_red__reds_OInitBlockThrow]) ).

fof(f_1049_2,plain,
    ! [U_5666,U_5665,U_5664,U_5663,U_5662,U_5661] : hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,block_list_char(U_5666,U_5665,seq_list_char(lAss_list_char(U_5666,hAPP_v834067052t_char(val_list_char,U_5664)),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(U_5663)))))),U_5662)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(hAPP_v834067052t_char(val_list_char,addr(U_5663)))),U_5662))),red(U_5661))),
    inference(variable_rename,[status(thm)],[f_1049_1]) ).

cnf(f_1049_3,plain,
    hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,block_list_char(U_5666,U_5665,seq_list_char(lAss_list_char(U_5666,hAPP_v834067052t_char(val_list_char,U_5664)),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(U_5663)))))),U_5662)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(hAPP_v834067052t_char(val_list_char,addr(U_5663)))),U_5662))),red(U_5661))),
    inference(clausify,[status(thm)],[f_1049_2]) ).

fof(f_1050_1,plain,
    ! [Pa,Eb,F,D,S] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,fAcc_list_char(throw_list_char(Eb),F,D),S),throw_list_char(Eb)),S)),
    inference(fof_nnf,[status(thm)],[fact_908_redp__redsp_OFAccThrow]) ).

fof(f_1050_2,plain,
    ! [U_5671,U_5670,U_5669,U_5668,U_5667] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(U_5671,fAcc_list_char(throw_list_char(U_5670),U_5669,U_5668),U_5667),throw_list_char(U_5670)),U_5667)),
    inference(variable_rename,[status(thm)],[f_1050_1]) ).

cnf(f_1050_3,plain,
    hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(U_5671,fAcc_list_char(throw_list_char(U_5670),U_5669,U_5668),U_5667),throw_list_char(U_5670)),U_5667)),
    inference(clausify,[status(thm)],[f_1050_2]) ).

fof(f_1051_1,plain,
    ! [F,D,Pa,Eb,S_0,E_b,S_1] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,fAcc_list_char(Eb,F,D),S_0),throw_list_char(E_b)),S_1))
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S_0),throw_list_char(E_b)),S_1)) ),
    inference(fof_nnf,[status(thm)],[fact_909_eval__evals_OFAccThrow]) ).

fof(f_1051_2,plain,
    ! [U_5678,U_5677,U_5676,U_5675,U_5674,U_5673,U_5672] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_5676,fAcc_list_char(U_5675,U_5678,U_5677),U_5674),throw_list_char(U_5673)),U_5672))
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_5676,U_5675,U_5674),throw_list_char(U_5673)),U_5672)) ),
    inference(variable_rename,[status(thm)],[f_1051_1]) ).

cnf(f_1051_3,plain,
    ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_5676,fAcc_list_char(U_5675,U_5678,U_5677),U_5674),throw_list_char(U_5673)),U_5672))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_5676,U_5675,U_5674),throw_list_char(U_5673)),U_5672)) ),
    inference(clausify,[status(thm)],[f_1051_2]) ).

fof(f_1052_1,plain,
    ! [Pa,Eb,S_0,E_b,S_1] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,throw_list_char(Eb),S_0),throw_list_char(E_b)),S_1))
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S_0),throw_list_char(E_b)),S_1)) ),
    inference(fof_nnf,[status(thm)],[fact_910_eval__evals_OThrowThrow]) ).

fof(f_1052_2,plain,
    ! [U_5683,U_5682,U_5681,U_5680,U_5679] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_5683,throw_list_char(U_5682),U_5681),throw_list_char(U_5680)),U_5679))
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_5683,U_5682,U_5681),throw_list_char(U_5680)),U_5679)) ),
    inference(variable_rename,[status(thm)],[f_1052_1]) ).

cnf(f_1052_3,plain,
    ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_5683,throw_list_char(U_5682),U_5681),throw_list_char(U_5680)),U_5679))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_5683,U_5682,U_5681),throw_list_char(U_5680)),U_5679)) ),
    inference(clausify,[status(thm)],[f_1052_2]) ).

fof(f_1053_1,plain,
    ! [Pa,Eb,S] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,throw_list_char(throw_list_char(Eb)),S),throw_list_char(Eb)),S)),
    inference(fof_nnf,[status(thm)],[fact_911_redp__redsp_OThrowThrow]) ).

fof(f_1053_2,plain,
    ! [U_5686,U_5685,U_5684] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(U_5686,throw_list_char(throw_list_char(U_5685)),U_5684),throw_list_char(U_5685)),U_5684)),
    inference(variable_rename,[status(thm)],[f_1053_1]) ).

cnf(f_1053_3,plain,
    hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(U_5686,throw_list_char(throw_list_char(U_5685)),U_5684),throw_list_char(U_5685)),U_5684)),
    inference(clausify,[status(thm)],[f_1053_2]) ).

fof(f_1054_1,plain,
    ! [Pa,Eb,S,E_b,S_2] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,throw_list_char(Eb),S),throw_list_char(E_b)),S_2))
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Eb,S),E_b),S_2)) ),
    inference(fof_nnf,[status(thm)],[fact_912_redp__redsp_OThrowRed]) ).

fof(f_1054_2,plain,
    ! [U_5691,U_5690,U_5689,U_5688,U_5687] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(U_5691,throw_list_char(U_5690),U_5689),throw_list_char(U_5688)),U_5687))
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(U_5691,U_5690,U_5689),U_5688),U_5687)) ),
    inference(variable_rename,[status(thm)],[f_1054_1]) ).

cnf(f_1054_3,plain,
    ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(U_5691,throw_list_char(U_5690),U_5689),throw_list_char(U_5688)),U_5687))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(U_5691,U_5690,U_5689),U_5688),U_5687)) ),
    inference(clausify,[status(thm)],[f_1054_2]) ).

fof(f_1055_1,plain,
    ! [Eb] : fv(throw_list_char(Eb)) = fv(Eb),
    inference(fof_nnf,[status(thm)],[fact_913_fv__fvs_Osimps_I14_J]) ).

fof(f_1055_2,plain,
    ! [U_5692] : fv(throw_list_char(U_5692)) = fv(U_5692),
    inference(variable_rename,[status(thm)],[f_1055_1]) ).

cnf(f_1055_3,plain,
    fv(throw_list_char(U_5692)) = fv(U_5692),
    inference(clausify,[status(thm)],[f_1055_2]) ).

fof(f_1056_1,plain,
    ! [F,D,Pa,Eb,S,E_b,S_2] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,fAcc_list_char(Eb,F,D),S),fAcc_list_char(E_b,F,D)),S_2))
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Eb,S),E_b),S_2)) ),
    inference(fof_nnf,[status(thm)],[fact_914_redp__redsp_OFAccRed]) ).

fof(f_1056_2,plain,
    ! [U_5699,U_5698,U_5697,U_5696,U_5695,U_5694,U_5693] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(U_5697,fAcc_list_char(U_5696,U_5699,U_5698),U_5695),fAcc_list_char(U_5694,U_5699,U_5698)),U_5693))
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(U_5697,U_5696,U_5695),U_5694),U_5693)) ),
    inference(variable_rename,[status(thm)],[f_1056_1]) ).

cnf(f_1056_3,plain,
    ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(U_5697,fAcc_list_char(U_5696,U_5699,U_5698),U_5695),fAcc_list_char(U_5694,U_5699,U_5698)),U_5693))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(U_5697,U_5696,U_5695),U_5694),U_5693)) ),
    inference(clausify,[status(thm)],[f_1056_2]) ).

fof(f_1057_1,plain,
    ! [Eb,F,D] : fv(fAcc_list_char(Eb,F,D)) = fv(Eb),
    inference(fof_nnf,[status(thm)],[fact_915_fv__fvs_Osimps_I7_J]) ).

fof(f_1057_2,plain,
    ! [U_5702,U_5701,U_5700] : fv(fAcc_list_char(U_5702,U_5701,U_5700)) = fv(U_5702),
    inference(variable_rename,[status(thm)],[f_1057_1]) ).

cnf(f_1057_3,plain,
    fv(fAcc_list_char(U_5702,U_5701,U_5700)) = fv(U_5702),
    inference(clausify,[status(thm)],[f_1057_2]) ).

fof(f_1058_1,plain,
    ! [Eb,F,D,S,Pa] : hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAcc_list_char(throw_list_char(Eb),F,D)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(Eb)),S))),red(Pa))),
    inference(fof_nnf,[status(thm)],[fact_916_red__reds_OFAccThrow]) ).

fof(f_1058_2,plain,
    ! [U_5707,U_5706,U_5705,U_5704,U_5703] : hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAcc_list_char(throw_list_char(U_5707),U_5706,U_5705)),U_5704)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(U_5707)),U_5704))),red(U_5703))),
    inference(variable_rename,[status(thm)],[f_1058_1]) ).

cnf(f_1058_3,plain,
    hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAcc_list_char(throw_list_char(U_5707),U_5706,U_5705)),U_5704)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(U_5707)),U_5704))),red(U_5703))),
    inference(clausify,[status(thm)],[f_1058_2]) ).

fof(f_1059_1,plain,
    ! [F,D,Eb,S,A,S_2,Pa] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAcc_list_char(Eb,F,D)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(A)),S_2))),transi2024712006on_val(red(Pa))))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(A)),S_2))),transi2024712006on_val(red(Pa)))) ),
    inference(fof_nnf,[status(thm)],[fact_917_FAccRedsThrow]) ).

fof(f_1059_2,plain,
    ! [U_5714,U_5713,U_5712,U_5711,U_5710,U_5709,U_5708] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAcc_list_char(U_5712,U_5714,U_5713)),U_5711)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(U_5710)),U_5709))),transi2024712006on_val(red(U_5708))))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_5712),U_5711)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(U_5710)),U_5709))),transi2024712006on_val(red(U_5708)))) ),
    inference(variable_rename,[status(thm)],[f_1059_1]) ).

cnf(f_1059_3,plain,
    ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAcc_list_char(U_5712,U_5714,U_5713)),U_5711)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(U_5710)),U_5709))),transi2024712006on_val(red(U_5708))))
    | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_5712),U_5711)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(U_5710)),U_5709))),transi2024712006on_val(red(U_5708)))) ),
    inference(clausify,[status(thm)],[f_1059_2]) ).

fof(f_1060_1,plain,
    ! [E_1_1,Pa,E_0,S_0,Eb,S_1] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,seq_list_char(E_0,E_1_1),S_0),throw_list_char(Eb)),S_1))
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_0,S_0),throw_list_char(Eb)),S_1)) ),
    inference(fof_nnf,[status(thm)],[fact_918_eval__evals_OSeqThrow]) ).

fof(f_1060_2,plain,
    ! [U_5720,U_5719,U_5718,U_5717,U_5716,U_5715] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_5719,seq_list_char(U_5718,U_5720),U_5717),throw_list_char(U_5716)),U_5715))
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_5719,U_5718,U_5717),throw_list_char(U_5716)),U_5715)) ),
    inference(variable_rename,[status(thm)],[f_1060_1]) ).

cnf(f_1060_3,plain,
    ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_5719,seq_list_char(U_5718,U_5720),U_5717),throw_list_char(U_5716)),U_5715))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_5719,U_5718,U_5717),throw_list_char(U_5716)),U_5715)) ),
    inference(clausify,[status(thm)],[f_1060_2]) ).

fof(f_1061_1,plain,
    ! [Va_1,Pa,Eb,S_0,E_b,S_1] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,lAss_list_char(Va_1,Eb),S_0),throw_list_char(E_b)),S_1))
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S_0),throw_list_char(E_b)),S_1)) ),
    inference(fof_nnf,[status(thm)],[fact_919_eval__evals_OLAssThrow]) ).

fof(f_1061_2,plain,
    ! [U_5726,U_5725,U_5724,U_5723,U_5722,U_5721] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_5725,lAss_list_char(U_5726,U_5724),U_5723),throw_list_char(U_5722)),U_5721))
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_5725,U_5724,U_5723),throw_list_char(U_5722)),U_5721)) ),
    inference(variable_rename,[status(thm)],[f_1061_1]) ).

cnf(f_1061_3,plain,
    ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_5725,lAss_list_char(U_5726,U_5724),U_5723),throw_list_char(U_5722)),U_5721))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_5725,U_5724,U_5723),throw_list_char(U_5722)),U_5721)) ),
    inference(clausify,[status(thm)],[f_1061_2]) ).

fof(f_1062_1,plain,
    ! [F,D,E_2,Pa,E_1_1,S_0,E_b,S_1] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,fAss_list_char(E_1_1,F,D,E_2),S_0),throw_list_char(E_b)),S_1))
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1_1,S_0),throw_list_char(E_b)),S_1)) ),
    inference(fof_nnf,[status(thm)],[fact_920_eval__evals_OFAssThrow1]) ).

fof(f_1062_2,plain,
    ! [U_5734,U_5733,U_5732,U_5731,U_5730,U_5729,U_5728,U_5727] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_5731,fAss_list_char(U_5730,U_5734,U_5733,U_5732),U_5729),throw_list_char(U_5728)),U_5727))
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_5731,U_5730,U_5729),throw_list_char(U_5728)),U_5727)) ),
    inference(variable_rename,[status(thm)],[f_1062_1]) ).

cnf(f_1062_3,plain,
    ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_5731,fAss_list_char(U_5730,U_5734,U_5733,U_5732),U_5729),throw_list_char(U_5728)),U_5727))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_5731,U_5730,U_5729),throw_list_char(U_5728)),U_5727)) ),
    inference(clausify,[status(thm)],[f_1062_2]) ).

fof(f_1063_1,plain,
    ! [Pa,Eb,E_2,S] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,seq_list_char(throw_list_char(Eb),E_2),S),throw_list_char(Eb)),S)),
    inference(fof_nnf,[status(thm)],[fact_921_redp__redsp_OSeqThrow]) ).

fof(f_1063_2,plain,
    ! [U_5738,U_5737,U_5736,U_5735] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(U_5738,seq_list_char(throw_list_char(U_5737),U_5736),U_5735),throw_list_char(U_5737)),U_5735)),
    inference(variable_rename,[status(thm)],[f_1063_1]) ).

cnf(f_1063_3,plain,
    hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(U_5738,seq_list_char(throw_list_char(U_5737),U_5736),U_5735),throw_list_char(U_5737)),U_5735)),
    inference(clausify,[status(thm)],[f_1063_2]) ).

fof(f_1064_1,plain,
    ! [Pa,Va_1,Eb,S] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,lAss_list_char(Va_1,throw_list_char(Eb)),S),throw_list_char(Eb)),S)),
    inference(fof_nnf,[status(thm)],[fact_922_redp__redsp_OLAssThrow]) ).

fof(f_1064_2,plain,
    ! [U_5742,U_5741,U_5740,U_5739] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(U_5742,lAss_list_char(U_5741,throw_list_char(U_5740)),U_5739),throw_list_char(U_5740)),U_5739)),
    inference(variable_rename,[status(thm)],[f_1064_1]) ).

cnf(f_1064_3,plain,
    hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(U_5742,lAss_list_char(U_5741,throw_list_char(U_5740)),U_5739),throw_list_char(U_5740)),U_5739)),
    inference(clausify,[status(thm)],[f_1064_2]) ).

fof(f_1065_1,plain,
    ! [Pa,Eb,F,D,E_2,S] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,fAss_list_char(throw_list_char(Eb),F,D,E_2),S),throw_list_char(Eb)),S)),
    inference(fof_nnf,[status(thm)],[fact_923_redp__redsp_OFAssThrow1]) ).

fof(f_1065_2,plain,
    ! [U_5748,U_5747,U_5746,U_5745,U_5744,U_5743] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(U_5748,fAss_list_char(throw_list_char(U_5747),U_5746,U_5745,U_5744),U_5743),throw_list_char(U_5747)),U_5743)),
    inference(variable_rename,[status(thm)],[f_1065_1]) ).

cnf(f_1065_3,plain,
    hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(U_5748,fAss_list_char(throw_list_char(U_5747),U_5746,U_5745,U_5744),U_5743),throw_list_char(U_5747)),U_5743)),
    inference(clausify,[status(thm)],[f_1065_2]) ).

fof(f_1066_1,plain,
    ! [Eb,S,Pa] : hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(throw_list_char(Eb))),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(Eb)),S))),red(Pa))),
    inference(fof_nnf,[status(thm)],[fact_924_red__reds_OThrowThrow]) ).

fof(f_1066_2,plain,
    ! [U_5751,U_5750,U_5749] : hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(throw_list_char(U_5751))),U_5750)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(U_5751)),U_5750))),red(U_5749))),
    inference(variable_rename,[status(thm)],[f_1066_1]) ).

cnf(f_1066_3,plain,
    hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(throw_list_char(U_5751))),U_5750)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(U_5751)),U_5750))),red(U_5749))),
    inference(clausify,[status(thm)],[f_1066_2]) ).

fof(f_1067_1,plain,
    ! [Eb,S,E_b,S_2,Pa] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(Eb)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(E_b)),S_2))),red(Pa)))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_2))),red(Pa))) ),
    inference(fof_nnf,[status(thm)],[fact_925_red__reds_OThrowRed]) ).

fof(f_1067_2,plain,
    ! [U_5756,U_5755,U_5754,U_5753,U_5752] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(U_5756)),U_5755)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(U_5754)),U_5753))),red(U_5752)))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_5756),U_5755)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_5754),U_5753))),red(U_5752))) ),
    inference(variable_rename,[status(thm)],[f_1067_1]) ).

cnf(f_1067_3,plain,
    ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(U_5756)),U_5755)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(U_5754)),U_5753))),red(U_5752)))
    | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_5756),U_5755)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_5754),U_5753))),red(U_5752))) ),
    inference(clausify,[status(thm)],[f_1067_2]) ).

fof(f_1068_1,plain,
    ! [Pa,Eb,S_0,A,S_1] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,throw_list_char(Eb),S_0),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A)))),S_1))
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S_0),hAPP_v834067052t_char(val_list_char,addr(A))),S_1)) ),
    inference(fof_nnf,[status(thm)],[fact_926_Throw]) ).

fof(f_1068_2,plain,
    ! [U_5761,U_5760,U_5759,U_5758,U_5757] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_5761,throw_list_char(U_5760),U_5759),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(U_5758)))),U_5757))
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_5761,U_5760,U_5759),hAPP_v834067052t_char(val_list_char,addr(U_5758))),U_5757)) ),
    inference(variable_rename,[status(thm)],[f_1068_1]) ).

cnf(f_1068_3,plain,
    ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_5761,throw_list_char(U_5760),U_5759),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(U_5758)))),U_5757))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_5761,U_5760,U_5759),hAPP_v834067052t_char(val_list_char,addr(U_5758))),U_5757)) ),
    inference(clausify,[status(thm)],[f_1068_2]) ).

fof(f_1069_1,plain,
    ! [F,D,E_2,E_b,S_2_1,Pa,E_1_1,S_0,Va,S_1] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,fAss_list_char(E_1_1,F,D,E_2),S_0),throw_list_char(E_b)),S_2_1))
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_2,S_1),throw_list_char(E_b)),S_2_1))
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1_1,S_0),hAPP_v834067052t_char(val_list_char,Va)),S_1)) ),
    inference(fof_nnf,[status(thm)],[fact_927_eval__evals_OFAssThrow2]) ).

fof(f_1069_2,plain,
    ! [U_5771,U_5770,U_5769,U_5768,U_5767,U_5766,U_5765,U_5764,U_5763,U_5762] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_5766,fAss_list_char(U_5765,U_5771,U_5770,U_5769),U_5764),throw_list_char(U_5768)),U_5767))
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_5766,U_5769,U_5762),throw_list_char(U_5768)),U_5767))
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_5766,U_5765,U_5764),hAPP_v834067052t_char(val_list_char,U_5763)),U_5762)) ),
    inference(variable_rename,[status(thm)],[f_1069_1]) ).

cnf(f_1069_3,plain,
    ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_5766,fAss_list_char(U_5765,U_5771,U_5770,U_5769),U_5764),throw_list_char(U_5768)),U_5767))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_5766,U_5769,U_5762),throw_list_char(U_5768)),U_5767))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_5766,U_5765,U_5764),hAPP_v834067052t_char(val_list_char,U_5763)),U_5762)) ),
    inference(clausify,[status(thm)],[f_1069_2]) ).

fof(f_1070_1,plain,
    ! [F,D,Eb,S,E_b,S_2,Pa] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAcc_list_char(Eb,F,D)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAcc_list_char(E_b,F,D)),S_2))),red(Pa)))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_2))),red(Pa))) ),
    inference(fof_nnf,[status(thm)],[fact_928_red__reds_OFAccRed]) ).

fof(f_1070_2,plain,
    ! [U_5778,U_5777,U_5776,U_5775,U_5774,U_5773,U_5772] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAcc_list_char(U_5776,U_5778,U_5777)),U_5775)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAcc_list_char(U_5774,U_5778,U_5777)),U_5773))),red(U_5772)))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_5776),U_5775)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_5774),U_5773))),red(U_5772))) ),
    inference(variable_rename,[status(thm)],[f_1070_1]) ).

cnf(f_1070_3,plain,
    ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAcc_list_char(U_5776,U_5778,U_5777)),U_5775)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAcc_list_char(U_5774,U_5778,U_5777)),U_5773))),red(U_5772)))
    | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_5776),U_5775)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_5774),U_5773))),red(U_5772))) ),
    inference(clausify,[status(thm)],[f_1070_2]) ).

fof(f_1071_1,plain,
    ! [Pa,Va,F,D,Eb,S] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,fAss_list_char(hAPP_v834067052t_char(val_list_char,Va),F,D,throw_list_char(Eb)),S),throw_list_char(Eb)),S)),
    inference(fof_nnf,[status(thm)],[fact_929_redp__redsp_OFAssThrow2]) ).

fof(f_1071_2,plain,
    ! [U_5784,U_5783,U_5782,U_5781,U_5780,U_5779] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(U_5784,fAss_list_char(hAPP_v834067052t_char(val_list_char,U_5783),U_5782,U_5781,throw_list_char(U_5780)),U_5779),throw_list_char(U_5780)),U_5779)),
    inference(variable_rename,[status(thm)],[f_1071_1]) ).

cnf(f_1071_3,plain,
    hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(U_5784,fAss_list_char(hAPP_v834067052t_char(val_list_char,U_5783),U_5782,U_5781,throw_list_char(U_5780)),U_5779),throw_list_char(U_5780)),U_5779)),
    inference(clausify,[status(thm)],[f_1071_2]) ).

fof(f_1072_1,plain,
    ! [Eb,S,E_b,S_2,Pa] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(Eb)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(E_b)),S_2))),transi2024712006on_val(red(Pa))))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_2))),transi2024712006on_val(red(Pa)))) ),
    inference(fof_nnf,[status(thm)],[fact_930_ThrowReds]) ).

fof(f_1072_2,plain,
    ! [U_5789,U_5788,U_5787,U_5786,U_5785] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(U_5789)),U_5788)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(U_5787)),U_5786))),transi2024712006on_val(red(U_5785))))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_5789),U_5788)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_5787),U_5786))),transi2024712006on_val(red(U_5785)))) ),
    inference(variable_rename,[status(thm)],[f_1072_1]) ).

cnf(f_1072_3,plain,
    ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(U_5789)),U_5788)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(U_5787)),U_5786))),transi2024712006on_val(red(U_5785))))
    | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_5789),U_5788)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_5787),U_5786))),transi2024712006on_val(red(U_5785)))) ),
    inference(clausify,[status(thm)],[f_1072_2]) ).

fof(f_1073_1,plain,
    ! [Eb,S,A,S_2,Pa] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(Eb)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(A)),S_2))),transi2024712006on_val(red(Pa))))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(A)),S_2))),transi2024712006on_val(red(Pa)))) ),
    inference(fof_nnf,[status(thm)],[fact_931_ThrowRedsThrow]) ).

fof(f_1073_2,plain,
    ! [U_5794,U_5793,U_5792,U_5791,U_5790] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(U_5794)),U_5793)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(U_5792)),U_5791))),transi2024712006on_val(red(U_5790))))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_5794),U_5793)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(U_5792)),U_5791))),transi2024712006on_val(red(U_5790)))) ),
    inference(variable_rename,[status(thm)],[f_1073_1]) ).

cnf(f_1073_3,plain,
    ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(U_5794)),U_5793)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(U_5792)),U_5791))),transi2024712006on_val(red(U_5790))))
    | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_5794),U_5793)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(U_5792)),U_5791))),transi2024712006on_val(red(U_5790)))) ),
    inference(clausify,[status(thm)],[f_1073_2]) ).

fof(f_1074_1,plain,
    ! [Va_1,Eb,S,Pa] : hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,lAss_list_char(Va_1,throw_list_char(Eb))),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(Eb)),S))),red(Pa))),
    inference(fof_nnf,[status(thm)],[fact_932_red__reds_OLAssThrow]) ).

fof(f_1074_2,plain,
    ! [U_5798,U_5797,U_5796,U_5795] : hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,lAss_list_char(U_5798,throw_list_char(U_5797))),U_5796)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(U_5797)),U_5796))),red(U_5795))),
    inference(variable_rename,[status(thm)],[f_1074_1]) ).

cnf(f_1074_3,plain,
    hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,lAss_list_char(U_5798,throw_list_char(U_5797))),U_5796)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(U_5797)),U_5796))),red(U_5795))),
    inference(clausify,[status(thm)],[f_1074_2]) ).

fof(f_1075_1,plain,
    ! [Eb,E_2,S,Pa] : hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,seq_list_char(throw_list_char(Eb),E_2)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(Eb)),S))),red(Pa))),
    inference(fof_nnf,[status(thm)],[fact_933_red__reds_OSeqThrow]) ).

fof(f_1075_2,plain,
    ! [U_5802,U_5801,U_5800,U_5799] : hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,seq_list_char(throw_list_char(U_5802),U_5801)),U_5800)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(U_5802)),U_5800))),red(U_5799))),
    inference(variable_rename,[status(thm)],[f_1075_1]) ).

cnf(f_1075_3,plain,
    hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,seq_list_char(throw_list_char(U_5802),U_5801)),U_5800)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(U_5802)),U_5800))),red(U_5799))),
    inference(clausify,[status(thm)],[f_1075_2]) ).

fof(f_1076_1,plain,
    ! [Eb,F,D,E_2,S,Pa] : hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAss_list_char(throw_list_char(Eb),F,D,E_2)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(Eb)),S))),red(Pa))),
    inference(fof_nnf,[status(thm)],[fact_934_red__reds_OFAssThrow1]) ).

fof(f_1076_2,plain,
    ! [U_5808,U_5807,U_5806,U_5805,U_5804,U_5803] : hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAss_list_char(throw_list_char(U_5808),U_5807,U_5806,U_5805)),U_5804)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(U_5808)),U_5804))),red(U_5803))),
    inference(variable_rename,[status(thm)],[f_1076_1]) ).

cnf(f_1076_3,plain,
    hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAss_list_char(throw_list_char(U_5808),U_5807,U_5806,U_5805)),U_5804)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(U_5808)),U_5804))),red(U_5803))),
    inference(clausify,[status(thm)],[f_1076_2]) ).

fof(f_1077_1,plain,
    ! [Pa,Va_1,Ta,A,S] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,block_list_char(Va_1,Ta,throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A)))),S),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A)))),S)),
    inference(fof_nnf,[status(thm)],[fact_935_redp__redsp_OBlockThrow]) ).

fof(f_1077_2,plain,
    ! [U_5813,U_5812,U_5811,U_5810,U_5809] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(U_5813,block_list_char(U_5812,U_5811,throw_list_char(hAPP_v834067052t_char(val_list_char,addr(U_5810)))),U_5809),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(U_5810)))),U_5809)),
    inference(variable_rename,[status(thm)],[f_1077_1]) ).

cnf(f_1077_3,plain,
    hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(U_5813,block_list_char(U_5812,U_5811,throw_list_char(hAPP_v834067052t_char(val_list_char,addr(U_5810)))),U_5809),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(U_5810)))),U_5809)),
    inference(clausify,[status(thm)],[f_1077_2]) ).

fof(f_1078_1,plain,
    ! [F,D,Eb,S,E_b,S_2,Pa] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAcc_list_char(Eb,F,D)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAcc_list_char(E_b,F,D)),S_2))),transi2024712006on_val(red(Pa))))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_2))),transi2024712006on_val(red(Pa)))) ),
    inference(fof_nnf,[status(thm)],[fact_936_FAccReds]) ).

fof(f_1078_2,plain,
    ! [U_5820,U_5819,U_5818,U_5817,U_5816,U_5815,U_5814] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAcc_list_char(U_5818,U_5820,U_5819)),U_5817)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAcc_list_char(U_5816,U_5820,U_5819)),U_5815))),transi2024712006on_val(red(U_5814))))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_5818),U_5817)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_5816),U_5815))),transi2024712006on_val(red(U_5814)))) ),
    inference(variable_rename,[status(thm)],[f_1078_1]) ).

cnf(f_1078_3,plain,
    ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAcc_list_char(U_5818,U_5820,U_5819)),U_5817)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAcc_list_char(U_5816,U_5820,U_5819)),U_5815))),transi2024712006on_val(red(U_5814))))
    | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_5818),U_5817)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_5816),U_5815))),transi2024712006on_val(red(U_5814)))) ),
    inference(clausify,[status(thm)],[f_1078_2]) ).

fof(f_1079_1,plain,
    ! [Va,F,D,Eb,S,Pa] : hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAss_list_char(hAPP_v834067052t_char(val_list_char,Va),F,D,throw_list_char(Eb))),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(Eb)),S))),red(Pa))),
    inference(fof_nnf,[status(thm)],[fact_937_red__reds_OFAssThrow2]) ).

fof(f_1079_2,plain,
    ! [U_5826,U_5825,U_5824,U_5823,U_5822,U_5821] : hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAss_list_char(hAPP_v834067052t_char(val_list_char,U_5826),U_5825,U_5824,throw_list_char(U_5823))),U_5822)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(U_5823)),U_5822))),red(U_5821))),
    inference(variable_rename,[status(thm)],[f_1079_1]) ).

cnf(f_1079_3,plain,
    hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAss_list_char(hAPP_v834067052t_char(val_list_char,U_5826),U_5825,U_5824,throw_list_char(U_5823))),U_5822)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(U_5823)),U_5822))),red(U_5821))),
    inference(clausify,[status(thm)],[f_1079_2]) ).

fof(f_1080_1,plain,
    ! [Va_1,Eb,S,A,S_2,Pa] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,lAss_list_char(Va_1,Eb)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(A)),S_2))),transi2024712006on_val(red(Pa))))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(A)),S_2))),transi2024712006on_val(red(Pa)))) ),
    inference(fof_nnf,[status(thm)],[fact_938_LAssRedsThrow]) ).

fof(f_1080_2,plain,
    ! [U_5832,U_5831,U_5830,U_5829,U_5828,U_5827] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,lAss_list_char(U_5832,U_5831)),U_5830)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(U_5829)),U_5828))),transi2024712006on_val(red(U_5827))))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_5831),U_5830)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(U_5829)),U_5828))),transi2024712006on_val(red(U_5827)))) ),
    inference(variable_rename,[status(thm)],[f_1080_1]) ).

cnf(f_1080_3,plain,
    ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,lAss_list_char(U_5832,U_5831)),U_5830)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(U_5829)),U_5828))),transi2024712006on_val(red(U_5827))))
    | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_5831),U_5830)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(U_5829)),U_5828))),transi2024712006on_val(red(U_5827)))) ),
    inference(clausify,[status(thm)],[f_1080_2]) ).

fof(f_1081_1,plain,
    ! [E_2,Eb,S,E_b,S_2,Pa] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,seq_list_char(Eb,E_2)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(E_b)),S_2))),transi2024712006on_val(red(Pa))))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(E_b)),S_2))),transi2024712006on_val(red(Pa)))) ),
    inference(fof_nnf,[status(thm)],[fact_939_SeqRedsThrow]) ).

fof(f_1081_2,plain,
    ! [U_5838,U_5837,U_5836,U_5835,U_5834,U_5833] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,seq_list_char(U_5837,U_5838)),U_5836)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(U_5835)),U_5834))),transi2024712006on_val(red(U_5833))))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_5837),U_5836)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(U_5835)),U_5834))),transi2024712006on_val(red(U_5833)))) ),
    inference(variable_rename,[status(thm)],[f_1081_1]) ).

cnf(f_1081_3,plain,
    ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,seq_list_char(U_5837,U_5838)),U_5836)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(U_5835)),U_5834))),transi2024712006on_val(red(U_5833))))
    | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_5837),U_5836)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(U_5835)),U_5834))),transi2024712006on_val(red(U_5833)))) ),
    inference(clausify,[status(thm)],[f_1081_2]) ).

fof(f_1082_1,plain,
    ! [F,D,E_2,Eb,S,E_b,S_2,Pa] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAss_list_char(Eb,F,D,E_2)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(E_b)),S_2))),transi2024712006on_val(red(Pa))))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(E_b)),S_2))),transi2024712006on_val(red(Pa)))) ),
    inference(fof_nnf,[status(thm)],[fact_940_FAssRedsThrow1]) ).

fof(f_1082_2,plain,
    ! [U_5846,U_5845,U_5844,U_5843,U_5842,U_5841,U_5840,U_5839] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAss_list_char(U_5843,U_5846,U_5845,U_5844)),U_5842)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(U_5841)),U_5840))),transi2024712006on_val(red(U_5839))))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_5843),U_5842)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(U_5841)),U_5840))),transi2024712006on_val(red(U_5839)))) ),
    inference(variable_rename,[status(thm)],[f_1082_1]) ).

cnf(f_1082_3,plain,
    ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAss_list_char(U_5843,U_5846,U_5845,U_5844)),U_5842)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(U_5841)),U_5840))),transi2024712006on_val(red(U_5839))))
    | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_5843),U_5842)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(U_5841)),U_5840))),transi2024712006on_val(red(U_5839)))) ),
    inference(clausify,[status(thm)],[f_1082_2]) ).

fof(f_1083_1,plain,
    ! [F,D,E_2,Eb,S_2_1,E_1_1,S_0,Va,S_1,Pa] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAss_list_char(E_1_1,F,D,E_2)),S_0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(Eb)),S_2_1))),transi2024712006on_val(red(Pa))))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_2),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(Eb)),S_2_1))),transi2024712006on_val(red(Pa))))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_1_1),S_0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,Va)),S_1))),transi2024712006on_val(red(Pa)))) ),
    inference(fof_nnf,[status(thm)],[fact_941_FAssRedsThrow2]) ).

fof(f_1083_2,plain,
    ! [U_5856,U_5855,U_5854,U_5853,U_5852,U_5851,U_5850,U_5849,U_5848,U_5847] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAss_list_char(U_5851,U_5856,U_5855,U_5854)),U_5850)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(U_5853)),U_5852))),transi2024712006on_val(red(U_5847))))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_5854),U_5848)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(U_5853)),U_5852))),transi2024712006on_val(red(U_5847))))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_5851),U_5850)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,U_5849)),U_5848))),transi2024712006on_val(red(U_5847)))) ),
    inference(variable_rename,[status(thm)],[f_1083_1]) ).

cnf(f_1083_3,plain,
    ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAss_list_char(U_5851,U_5856,U_5855,U_5854)),U_5850)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(U_5853)),U_5852))),transi2024712006on_val(red(U_5847))))
    | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_5854),U_5848)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(U_5853)),U_5852))),transi2024712006on_val(red(U_5847))))
    | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_5851),U_5850)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,U_5849)),U_5848))),transi2024712006on_val(red(U_5847)))) ),
    inference(clausify,[status(thm)],[f_1083_2]) ).

fof(f_1084_1,plain,
    ! [Va_1,Ta,A,S,Pa] : hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,block_list_char(Va_1,Ta,throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A))))),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A)))),S))),red(Pa))),
    inference(fof_nnf,[status(thm)],[fact_942_red__reds_OBlockThrow]) ).

fof(f_1084_2,plain,
    ! [U_5861,U_5860,U_5859,U_5858,U_5857] : hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,block_list_char(U_5861,U_5860,throw_list_char(hAPP_v834067052t_char(val_list_char,addr(U_5859))))),U_5858)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(hAPP_v834067052t_char(val_list_char,addr(U_5859)))),U_5858))),red(U_5857))),
    inference(variable_rename,[status(thm)],[f_1084_1]) ).

cnf(f_1084_3,plain,
    hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,block_list_char(U_5861,U_5860,throw_list_char(hAPP_v834067052t_char(val_list_char,addr(U_5859))))),U_5858)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(hAPP_v834067052t_char(val_list_char,addr(U_5859)))),U_5858))),red(U_5857))),
    inference(clausify,[status(thm)],[f_1084_2]) ).

fof(f_1085_1,plain,
    ! [Pa,Va_1,Ta,Va,A,S] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,block_list_char(Va_1,Ta,seq_list_char(lAss_list_char(Va_1,hAPP_v834067052t_char(val_list_char,Va)),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A))))),S),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A)))),S)),
    inference(fof_nnf,[status(thm)],[fact_943_redp__redsp_OInitBlockThrow]) ).

fof(f_1085_2,plain,
    ! [U_5867,U_5866,U_5865,U_5864,U_5863,U_5862] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(U_5867,block_list_char(U_5866,U_5865,seq_list_char(lAss_list_char(U_5866,hAPP_v834067052t_char(val_list_char,U_5864)),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(U_5863))))),U_5862),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(U_5863)))),U_5862)),
    inference(variable_rename,[status(thm)],[f_1085_1]) ).

cnf(f_1085_3,plain,
    hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(U_5867,block_list_char(U_5866,U_5865,seq_list_char(lAss_list_char(U_5866,hAPP_v834067052t_char(val_list_char,U_5864)),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(U_5863))))),U_5862),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(U_5863)))),U_5862)),
    inference(clausify,[status(thm)],[f_1085_2]) ).

fof(f_1086_1,plain,
    ! [Pa,Va_1,Eb,S,E_b,S_2] :
      ( ? [E_1] :
          ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S),throw_list_char(E_1)),S_2))
          & E_b = throw_list_char(E_1) )
      | ( ? [V_2,H,L_4] :
            ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S),hAPP_v834067052t_char(val_list_char,V_2)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H),L_4)))
            & S_2 = hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H),fun_up1149430426on_val(L_4,Va_1,hAPP_val_option_val(some_val,V_2))) )
        & E_b = hAPP_v834067052t_char(val_list_char,unit) )
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,lAss_list_char(Va_1,Eb),S),E_b),S_2)) ),
    inference(fof_nnf,[status(thm)],[fact_944_eval__cases_I4_J]) ).

fof(f_1086_2,plain,
    ! [U_5877,U_5876,U_5875,U_5874,U_5873,U_5872] :
      ( ? [U_5871] :
          ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_5877,U_5875,U_5874),throw_list_char(U_5871)),U_5872))
          & U_5873 = throw_list_char(U_5871) )
      | ( ? [U_5870,U_5869,U_5868] :
            ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_5877,U_5875,U_5874),hAPP_v834067052t_char(val_list_char,U_5870)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_5869),U_5868)))
            & U_5872 = hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_5869),fun_up1149430426on_val(U_5868,U_5876,hAPP_val_option_val(some_val,U_5870))) )
        & U_5873 = hAPP_v834067052t_char(val_list_char,unit) )
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_5877,lAss_list_char(U_5876,U_5875),U_5874),U_5873),U_5872)) ),
    inference(variable_rename,[status(thm)],[f_1086_1]) ).

fof(f_1086_3,plain,
    ! [U_5877,U_5876,U_5875,U_5874,U_5873,U_5872] :
      ( ? [U_5871] :
          ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_5877,U_5875,U_5874),throw_list_char(U_5871)),U_5872))
          & U_5873 = throw_list_char(U_5871) )
      | ( ? [U_5869,U_5868] :
            ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_5877,U_5875,U_5874),hAPP_v834067052t_char(val_list_char,sK954(U_5877,U_5876,U_5875,U_5874,U_5873,U_5872))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_5869),U_5868)))
            & U_5872 = hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_5869),fun_up1149430426on_val(U_5868,U_5876,hAPP_val_option_val(some_val,sK954(U_5877,U_5876,U_5875,U_5874,U_5873,U_5872)))) )
        & U_5873 = hAPP_v834067052t_char(val_list_char,unit) )
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_5877,lAss_list_char(U_5876,U_5875),U_5874),U_5873),U_5872)) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK954]),skolemize(U_5870,sK954(U_5877,U_5876,U_5875,U_5874,U_5873,U_5872))],[f_1086_2]) ).

fof(f_1086_4,plain,
    ! [U_5877,U_5876,U_5875,U_5874,U_5873,U_5872] :
      ( ? [U_5871] :
          ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_5877,U_5875,U_5874),throw_list_char(U_5871)),U_5872))
          & U_5873 = throw_list_char(U_5871) )
      | ( ? [U_5868] :
            ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_5877,U_5875,U_5874),hAPP_v834067052t_char(val_list_char,sK954(U_5877,U_5876,U_5875,U_5874,U_5873,U_5872))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK955(U_5877,U_5876,U_5875,U_5874,U_5873,U_5872)),U_5868)))
            & U_5872 = hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK955(U_5877,U_5876,U_5875,U_5874,U_5873,U_5872)),fun_up1149430426on_val(U_5868,U_5876,hAPP_val_option_val(some_val,sK954(U_5877,U_5876,U_5875,U_5874,U_5873,U_5872)))) )
        & U_5873 = hAPP_v834067052t_char(val_list_char,unit) )
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_5877,lAss_list_char(U_5876,U_5875),U_5874),U_5873),U_5872)) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK955]),skolemize(U_5869,sK955(U_5877,U_5876,U_5875,U_5874,U_5873,U_5872))],[f_1086_3]) ).

fof(f_1086_5,plain,
    ! [U_5877,U_5876,U_5875,U_5874,U_5873,U_5872] :
      ( ? [U_5871] :
          ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_5877,U_5875,U_5874),throw_list_char(U_5871)),U_5872))
          & U_5873 = throw_list_char(U_5871) )
      | ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_5877,U_5875,U_5874),hAPP_v834067052t_char(val_list_char,sK954(U_5877,U_5876,U_5875,U_5874,U_5873,U_5872))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK955(U_5877,U_5876,U_5875,U_5874,U_5873,U_5872)),sK956(U_5877,U_5876,U_5875,U_5874,U_5873,U_5872))))
        & U_5872 = hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK955(U_5877,U_5876,U_5875,U_5874,U_5873,U_5872)),fun_up1149430426on_val(sK956(U_5877,U_5876,U_5875,U_5874,U_5873,U_5872),U_5876,hAPP_val_option_val(some_val,sK954(U_5877,U_5876,U_5875,U_5874,U_5873,U_5872))))
        & U_5873 = hAPP_v834067052t_char(val_list_char,unit) )
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_5877,lAss_list_char(U_5876,U_5875),U_5874),U_5873),U_5872)) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK956]),skolemize(U_5868,sK956(U_5877,U_5876,U_5875,U_5874,U_5873,U_5872))],[f_1086_4]) ).

fof(f_1086_6,plain,
    ! [U_5877,U_5876,U_5875,U_5874,U_5873,U_5872] :
      ( ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_5877,U_5875,U_5874),throw_list_char(sK957(U_5877,U_5876,U_5875,U_5874,U_5873,U_5872))),U_5872))
        & U_5873 = throw_list_char(sK957(U_5877,U_5876,U_5875,U_5874,U_5873,U_5872)) )
      | ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_5877,U_5875,U_5874),hAPP_v834067052t_char(val_list_char,sK954(U_5877,U_5876,U_5875,U_5874,U_5873,U_5872))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK955(U_5877,U_5876,U_5875,U_5874,U_5873,U_5872)),sK956(U_5877,U_5876,U_5875,U_5874,U_5873,U_5872))))
        & U_5872 = hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK955(U_5877,U_5876,U_5875,U_5874,U_5873,U_5872)),fun_up1149430426on_val(sK956(U_5877,U_5876,U_5875,U_5874,U_5873,U_5872),U_5876,hAPP_val_option_val(some_val,sK954(U_5877,U_5876,U_5875,U_5874,U_5873,U_5872))))
        & U_5873 = hAPP_v834067052t_char(val_list_char,unit) )
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_5877,lAss_list_char(U_5876,U_5875),U_5874),U_5873),U_5872)) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK957]),skolemize(U_5871,sK957(U_5877,U_5876,U_5875,U_5874,U_5873,U_5872))],[f_1086_5]) ).

cnf(f_1086_7,plain,
    ( U_5873 = throw_list_char(sK957(U_5877,U_5876,U_5875,U_5874,U_5873,U_5872))
    | U_5873 = hAPP_v834067052t_char(val_list_char,unit)
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_5877,lAss_list_char(U_5876,U_5875),U_5874),U_5873),U_5872)) ),
    inference(clausify,[status(thm)],[f_1086_6]) ).

cnf(f_1086_8,plain,
    ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_5877,U_5875,U_5874),throw_list_char(sK957(U_5877,U_5876,U_5875,U_5874,U_5873,U_5872))),U_5872))
    | U_5873 = hAPP_v834067052t_char(val_list_char,unit)
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_5877,lAss_list_char(U_5876,U_5875),U_5874),U_5873),U_5872)) ),
    inference(clausify,[status(thm)],[f_1086_6]) ).

cnf(f_1086_9,plain,
    ( U_5872 = hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK955(U_5877,U_5876,U_5875,U_5874,U_5873,U_5872)),fun_up1149430426on_val(sK956(U_5877,U_5876,U_5875,U_5874,U_5873,U_5872),U_5876,hAPP_val_option_val(some_val,sK954(U_5877,U_5876,U_5875,U_5874,U_5873,U_5872))))
    | U_5873 = throw_list_char(sK957(U_5877,U_5876,U_5875,U_5874,U_5873,U_5872))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_5877,lAss_list_char(U_5876,U_5875),U_5874),U_5873),U_5872)) ),
    inference(clausify,[status(thm)],[f_1086_6]) ).

cnf(f_1086_10,plain,
    ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_5877,U_5875,U_5874),hAPP_v834067052t_char(val_list_char,sK954(U_5877,U_5876,U_5875,U_5874,U_5873,U_5872))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK955(U_5877,U_5876,U_5875,U_5874,U_5873,U_5872)),sK956(U_5877,U_5876,U_5875,U_5874,U_5873,U_5872))))
    | U_5873 = throw_list_char(sK957(U_5877,U_5876,U_5875,U_5874,U_5873,U_5872))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_5877,lAss_list_char(U_5876,U_5875),U_5874),U_5873),U_5872)) ),
    inference(clausify,[status(thm)],[f_1086_6]) ).

cnf(f_1086_11,plain,
    ( U_5872 = hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK955(U_5877,U_5876,U_5875,U_5874,U_5873,U_5872)),fun_up1149430426on_val(sK956(U_5877,U_5876,U_5875,U_5874,U_5873,U_5872),U_5876,hAPP_val_option_val(some_val,sK954(U_5877,U_5876,U_5875,U_5874,U_5873,U_5872))))
    | hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_5877,U_5875,U_5874),throw_list_char(sK957(U_5877,U_5876,U_5875,U_5874,U_5873,U_5872))),U_5872))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_5877,lAss_list_char(U_5876,U_5875),U_5874),U_5873),U_5872)) ),
    inference(clausify,[status(thm)],[f_1086_6]) ).

cnf(f_1086_12,plain,
    ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_5877,U_5875,U_5874),hAPP_v834067052t_char(val_list_char,sK954(U_5877,U_5876,U_5875,U_5874,U_5873,U_5872))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,sK955(U_5877,U_5876,U_5875,U_5874,U_5873,U_5872)),sK956(U_5877,U_5876,U_5875,U_5874,U_5873,U_5872))))
    | hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_5877,U_5875,U_5874),throw_list_char(sK957(U_5877,U_5876,U_5875,U_5874,U_5873,U_5872))),U_5872))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_5877,lAss_list_char(U_5876,U_5875),U_5874),U_5873),U_5872)) ),
    inference(clausify,[status(thm)],[f_1086_6]) ).

fof(f_1087_1,plain,
    ! [Pa,E_1_1,E_2,S,E_b,S_2] :
      ( ? [E_4] :
          ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1_1,S),throw_list_char(E_4)),S_2))
          & E_b = throw_list_char(E_4) )
      | ? [V_2,S_1_1] :
          ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_2,S_1_1),E_b),S_2))
          & hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1_1,S),hAPP_v834067052t_char(val_list_char,V_2)),S_1_1)) )
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,seq_list_char(E_1_1,E_2),S),E_b),S_2)) ),
    inference(fof_nnf,[status(thm)],[fact_945_eval__cases_I9_J]) ).

fof(f_1087_2,plain,
    ! [U_5886,U_5885,U_5884,U_5883,U_5882,U_5881] :
      ( ? [U_5880] :
          ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_5886,U_5885,U_5883),throw_list_char(U_5880)),U_5881))
          & U_5882 = throw_list_char(U_5880) )
      | ? [U_5879,U_5878] :
          ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_5886,U_5884,U_5878),U_5882),U_5881))
          & hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_5886,U_5885,U_5883),hAPP_v834067052t_char(val_list_char,U_5879)),U_5878)) )
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_5886,seq_list_char(U_5885,U_5884),U_5883),U_5882),U_5881)) ),
    inference(variable_rename,[status(thm)],[f_1087_1]) ).

fof(f_1087_3,plain,
    ! [U_5886,U_5885,U_5884,U_5883,U_5882,U_5881] :
      ( ? [U_5880] :
          ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_5886,U_5885,U_5883),throw_list_char(U_5880)),U_5881))
          & U_5882 = throw_list_char(U_5880) )
      | ? [U_5878] :
          ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_5886,U_5884,U_5878),U_5882),U_5881))
          & hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_5886,U_5885,U_5883),hAPP_v834067052t_char(val_list_char,sK958(U_5886,U_5885,U_5884,U_5883,U_5882,U_5881))),U_5878)) )
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_5886,seq_list_char(U_5885,U_5884),U_5883),U_5882),U_5881)) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK958]),skolemize(U_5879,sK958(U_5886,U_5885,U_5884,U_5883,U_5882,U_5881))],[f_1087_2]) ).

fof(f_1087_4,plain,
    ! [U_5886,U_5885,U_5884,U_5883,U_5882,U_5881] :
      ( ? [U_5880] :
          ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_5886,U_5885,U_5883),throw_list_char(U_5880)),U_5881))
          & U_5882 = throw_list_char(U_5880) )
      | ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_5886,U_5884,sK959(U_5886,U_5885,U_5884,U_5883,U_5882,U_5881)),U_5882),U_5881))
        & hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_5886,U_5885,U_5883),hAPP_v834067052t_char(val_list_char,sK958(U_5886,U_5885,U_5884,U_5883,U_5882,U_5881))),sK959(U_5886,U_5885,U_5884,U_5883,U_5882,U_5881))) )
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_5886,seq_list_char(U_5885,U_5884),U_5883),U_5882),U_5881)) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK959]),skolemize(U_5878,sK959(U_5886,U_5885,U_5884,U_5883,U_5882,U_5881))],[f_1087_3]) ).

fof(f_1087_5,plain,
    ! [U_5886,U_5885,U_5884,U_5883,U_5882,U_5881] :
      ( ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_5886,U_5885,U_5883),throw_list_char(sK960(U_5886,U_5885,U_5884,U_5883,U_5882,U_5881))),U_5881))
        & U_5882 = throw_list_char(sK960(U_5886,U_5885,U_5884,U_5883,U_5882,U_5881)) )
      | ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_5886,U_5884,sK959(U_5886,U_5885,U_5884,U_5883,U_5882,U_5881)),U_5882),U_5881))
        & hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_5886,U_5885,U_5883),hAPP_v834067052t_char(val_list_char,sK958(U_5886,U_5885,U_5884,U_5883,U_5882,U_5881))),sK959(U_5886,U_5885,U_5884,U_5883,U_5882,U_5881))) )
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_5886,seq_list_char(U_5885,U_5884),U_5883),U_5882),U_5881)) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK960]),skolemize(U_5880,sK960(U_5886,U_5885,U_5884,U_5883,U_5882,U_5881))],[f_1087_4]) ).

cnf(f_1087_6,plain,
    ( U_5882 = throw_list_char(sK960(U_5886,U_5885,U_5884,U_5883,U_5882,U_5881))
    | hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_5886,U_5885,U_5883),hAPP_v834067052t_char(val_list_char,sK958(U_5886,U_5885,U_5884,U_5883,U_5882,U_5881))),sK959(U_5886,U_5885,U_5884,U_5883,U_5882,U_5881)))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_5886,seq_list_char(U_5885,U_5884),U_5883),U_5882),U_5881)) ),
    inference(clausify,[status(thm)],[f_1087_5]) ).

cnf(f_1087_7,plain,
    ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_5886,U_5885,U_5883),throw_list_char(sK960(U_5886,U_5885,U_5884,U_5883,U_5882,U_5881))),U_5881))
    | hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_5886,U_5885,U_5883),hAPP_v834067052t_char(val_list_char,sK958(U_5886,U_5885,U_5884,U_5883,U_5882,U_5881))),sK959(U_5886,U_5885,U_5884,U_5883,U_5882,U_5881)))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_5886,seq_list_char(U_5885,U_5884),U_5883),U_5882),U_5881)) ),
    inference(clausify,[status(thm)],[f_1087_5]) ).

cnf(f_1087_8,plain,
    ( U_5882 = throw_list_char(sK960(U_5886,U_5885,U_5884,U_5883,U_5882,U_5881))
    | hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_5886,U_5884,sK959(U_5886,U_5885,U_5884,U_5883,U_5882,U_5881)),U_5882),U_5881))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_5886,seq_list_char(U_5885,U_5884),U_5883),U_5882),U_5881)) ),
    inference(clausify,[status(thm)],[f_1087_5]) ).

cnf(f_1087_9,plain,
    ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_5886,U_5885,U_5883),throw_list_char(sK960(U_5886,U_5885,U_5884,U_5883,U_5882,U_5881))),U_5881))
    | hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_5886,U_5884,sK959(U_5886,U_5885,U_5884,U_5883,U_5882,U_5881)),U_5882),U_5881))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_5886,seq_list_char(U_5885,U_5884),U_5883),U_5882),U_5881)) ),
    inference(clausify,[status(thm)],[f_1087_5]) ).

fof(f_1088_1,plain,
    ! [Nat_1] : unit != addr(Nat_1),
    inference(fof_nnf,[status(thm)],[fact_946_val_Osimps_I10_J]) ).

fof(f_1088_2,plain,
    ! [U_5887] : unit != addr(U_5887),
    inference(variable_rename,[status(thm)],[f_1088_1]) ).

cnf(f_1088_3,plain,
    unit != addr(U_5887),
    inference(clausify,[status(thm)],[f_1088_2]) ).

fof(f_1089_1,plain,
    ! [Nat_1] : addr(Nat_1) != unit,
    inference(fof_nnf,[status(thm)],[fact_947_val_Osimps_I11_J]) ).

fof(f_1089_2,plain,
    ! [U_5888] : addr(U_5888) != unit,
    inference(variable_rename,[status(thm)],[f_1089_1]) ).

cnf(f_1089_3,plain,
    addr(U_5888) != unit,
    inference(clausify,[status(thm)],[f_1089_2]) ).

fof(f_1090_1,plain,
    ! [Nat_2,Nat] :
      ( ( addr(Nat_2) = addr(Nat)
        | Nat_2 != Nat )
      & ( Nat_2 = Nat
        | addr(Nat_2) != addr(Nat) ) ),
    inference(fof_nnf,[status(thm)],[fact_948_val_Osimps_I3_J]) ).

fof(f_1090_2,plain,
    ! [U_5890,U_5889] :
      ( ( addr(U_5890) = addr(U_5889)
        | U_5890 != U_5889 )
      & ( U_5890 = U_5889
        | addr(U_5890) != addr(U_5889) ) ),
    inference(variable_rename,[status(thm)],[f_1090_1]) ).

fof(f_1090_3,plain,
    ( ! [U_5894,U_5892] :
        ( addr(U_5894) = addr(U_5892)
        | U_5894 != U_5892 )
    & ! [U_5893,U_5891] :
        ( U_5893 = U_5891
        | addr(U_5893) != addr(U_5891) ) ),
    inference(miniscope,[status(thm)],[f_1090_2]) ).

cnf(f_1090_4,plain,
    ( U_5893 = U_5891
    | addr(U_5893) != addr(U_5891) ),
    inference(clausify,[status(thm)],[f_1090_3]) ).

cnf(f_1090_5,plain,
    ( addr(U_5894) = addr(U_5892)
    | U_5894 != U_5892 ),
    inference(clausify,[status(thm)],[f_1090_3]) ).

fof(f_1091_1,plain,
    ! [E_2,Va_1,E_2_1,H_2,L_2,C,D,Fs,E_1_1,S_0,A,H_1,L_1_1,Pa] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,tryCatch_list_char(E_1_1,C,Va_1,E_2)),S_0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_2_1),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_2),fun_up1149430426on_val(L_2,Va_1,hAPP_l207779698on_val(L_1_1,Va_1)))))),transi2024712006on_val(red(Pa))))
      | ~ hBOOL(final_list_char(E_2_1))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_2),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_1),fun_up1149430426on_val(L_1_1,Va_1,hAPP_val_option_val(some_val,addr(A)))))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_2_1),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_2),L_2)))),transi2024712006on_val(red(Pa))))
      | ~ hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,D),C)),transi1395422419t_char(subcls851966956t_char(Pa))))
      | hAPP_n546249108on_val(H_1,A) != hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,D),Fs))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_1_1),S_0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A)))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_1),L_1_1)))),transi2024712006on_val(red(Pa)))) ),
    inference(fof_nnf,[status(thm)],[fact_949_TryCatchRedsFinal]) ).

fof(f_1091_2,plain,
    ! [U_5908,U_5907,U_5906,U_5905,U_5904,U_5903,U_5902,U_5901,U_5900,U_5899,U_5898,U_5897,U_5896,U_5895] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,tryCatch_list_char(U_5900,U_5903,U_5907,U_5908)),U_5899)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_5906),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_5905),fun_up1149430426on_val(U_5904,U_5907,hAPP_l207779698on_val(U_5896,U_5907)))))),transi2024712006on_val(red(U_5895))))
      | ~ hBOOL(final_list_char(U_5906))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_5908),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_5897),fun_up1149430426on_val(U_5896,U_5907,hAPP_val_option_val(some_val,addr(U_5898)))))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_5906),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_5905),U_5904)))),transi2024712006on_val(red(U_5895))))
      | ~ hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_5902),U_5903)),transi1395422419t_char(subcls851966956t_char(U_5895))))
      | hAPP_n546249108on_val(U_5897,U_5898) != hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_5902),U_5901))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_5900),U_5899)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(hAPP_v834067052t_char(val_list_char,addr(U_5898)))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_5897),U_5896)))),transi2024712006on_val(red(U_5895)))) ),
    inference(variable_rename,[status(thm)],[f_1091_1]) ).

cnf(f_1091_3,plain,
    ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,tryCatch_list_char(U_5900,U_5903,U_5907,U_5908)),U_5899)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_5906),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_5905),fun_up1149430426on_val(U_5904,U_5907,hAPP_l207779698on_val(U_5896,U_5907)))))),transi2024712006on_val(red(U_5895))))
    | ~ hBOOL(final_list_char(U_5906))
    | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_5908),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_5897),fun_up1149430426on_val(U_5896,U_5907,hAPP_val_option_val(some_val,addr(U_5898)))))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_5906),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_5905),U_5904)))),transi2024712006on_val(red(U_5895))))
    | ~ hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_5902),U_5903)),transi1395422419t_char(subcls851966956t_char(U_5895))))
    | hAPP_n546249108on_val(U_5897,U_5898) != hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_5902),U_5901))
    | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_5900),U_5899)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(hAPP_v834067052t_char(val_list_char,addr(U_5898)))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_5897),U_5896)))),transi2024712006on_val(red(U_5895)))) ),
    inference(clausify,[status(thm)],[f_1091_2]) ).

fof(f_1092_1,plain,
    ! [Ta,Pa,Hb,Ea,Eb,T_r] :
      ( hBOOL(wTrt_1(Pa,Hb,Ea,throw_list_char(Eb),Ta))
      | ~ hBOOL(is_refT(T_r))
      | ~ hBOOL(wTrt_1(Pa,Hb,Ea,Eb,T_r)) ),
    inference(fof_nnf,[status(thm)],[fact_950_WTrtThrow]) ).

fof(f_1092_2,plain,
    ! [U_5914,U_5913,U_5912,U_5911,U_5910,U_5909] :
      ( hBOOL(wTrt_1(U_5913,U_5912,U_5911,throw_list_char(U_5910),U_5914))
      | ~ hBOOL(is_refT(U_5909))
      | ~ hBOOL(wTrt_1(U_5913,U_5912,U_5911,U_5910,U_5909)) ),
    inference(variable_rename,[status(thm)],[f_1092_1]) ).

cnf(f_1092_3,plain,
    ( hBOOL(wTrt_1(U_5913,U_5912,U_5911,throw_list_char(U_5910),U_5914))
    | ~ hBOOL(is_refT(U_5909))
    | ~ hBOOL(wTrt_1(U_5913,U_5912,U_5911,U_5910,U_5909)) ),
    inference(clausify,[status(thm)],[f_1092_2]) ).

fof(f_1093_1,plain,
    ! [Bop,E_2,Eb,S_2_1,E_1_1,S_0,V_1_2,S_1,Pa] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,binOp_list_char(E_1_1,Bop,E_2)),S_0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(Eb)),S_2_1))),transi2024712006on_val(red(Pa))))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_2),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(Eb)),S_2_1))),transi2024712006on_val(red(Pa))))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_1_1),S_0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,V_1_2)),S_1))),transi2024712006on_val(red(Pa)))) ),
    inference(fof_nnf,[status(thm)],[fact_951_BinOpRedsThrow2]) ).

fof(f_1093_2,plain,
    ! [U_5923,U_5922,U_5921,U_5920,U_5919,U_5918,U_5917,U_5916,U_5915] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,binOp_list_char(U_5919,U_5923,U_5922)),U_5918)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(U_5921)),U_5920))),transi2024712006on_val(red(U_5915))))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_5922),U_5916)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(U_5921)),U_5920))),transi2024712006on_val(red(U_5915))))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_5919),U_5918)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,U_5917)),U_5916))),transi2024712006on_val(red(U_5915)))) ),
    inference(variable_rename,[status(thm)],[f_1093_1]) ).

cnf(f_1093_3,plain,
    ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,binOp_list_char(U_5919,U_5923,U_5922)),U_5918)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(U_5921)),U_5920))),transi2024712006on_val(red(U_5915))))
    | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_5922),U_5916)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(U_5921)),U_5920))),transi2024712006on_val(red(U_5915))))
    | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_5919),U_5918)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,U_5917)),U_5916))),transi2024712006on_val(red(U_5915)))) ),
    inference(clausify,[status(thm)],[f_1093_2]) ).

fof(f_1094_1,plain,
    ! [Va_1,E_2,C,D,Fs,E_1_1,S,A,Hb,Lb,Pa] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,tryCatch_list_char(E_1_1,C,Va_1,E_2)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A)))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb)))),transi2024712006on_val(red(Pa))))
      | hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,D),C)),transi1395422419t_char(subcls851966956t_char(Pa))))
      | hAPP_n546249108on_val(Hb,A) != hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,D),Fs))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_1_1),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A)))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb)))),transi2024712006on_val(red(Pa)))) ),
    inference(fof_nnf,[status(thm)],[fact_952_TryRedsFail]) ).

fof(f_1094_2,plain,
    ! [U_5934,U_5933,U_5932,U_5931,U_5930,U_5929,U_5928,U_5927,U_5926,U_5925,U_5924] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,tryCatch_list_char(U_5929,U_5932,U_5934,U_5933)),U_5928)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(hAPP_v834067052t_char(val_list_char,addr(U_5927)))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_5926),U_5925)))),transi2024712006on_val(red(U_5924))))
      | hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_5931),U_5932)),transi1395422419t_char(subcls851966956t_char(U_5924))))
      | hAPP_n546249108on_val(U_5926,U_5927) != hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_5931),U_5930))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_5929),U_5928)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(hAPP_v834067052t_char(val_list_char,addr(U_5927)))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_5926),U_5925)))),transi2024712006on_val(red(U_5924)))) ),
    inference(variable_rename,[status(thm)],[f_1094_1]) ).

cnf(f_1094_3,plain,
    ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,tryCatch_list_char(U_5929,U_5932,U_5934,U_5933)),U_5928)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(hAPP_v834067052t_char(val_list_char,addr(U_5927)))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_5926),U_5925)))),transi2024712006on_val(red(U_5924))))
    | hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_5931),U_5932)),transi1395422419t_char(subcls851966956t_char(U_5924))))
    | hAPP_n546249108on_val(U_5926,U_5927) != hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_5931),U_5930))
    | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_5929),U_5928)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(hAPP_v834067052t_char(val_list_char,addr(U_5927)))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_5926),U_5925)))),transi2024712006on_val(red(U_5924)))) ),
    inference(clausify,[status(thm)],[f_1094_2]) ).

fof(f_1095_1,plain,
    ! [Bop,E_2,Pa,Eb,S,E_b,S_2] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,binOp_list_char(Eb,Bop,E_2),S),binOp_list_char(E_b,Bop,E_2)),S_2))
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Eb,S),E_b),S_2)) ),
    inference(fof_nnf,[status(thm)],[fact_953_redp__redsp_OBinOpRed1]) ).

fof(f_1095_2,plain,
    ! [U_5941,U_5940,U_5939,U_5938,U_5937,U_5936,U_5935] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(U_5939,binOp_list_char(U_5938,U_5941,U_5940),U_5937),binOp_list_char(U_5936,U_5941,U_5940)),U_5935))
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(U_5939,U_5938,U_5937),U_5936),U_5935)) ),
    inference(variable_rename,[status(thm)],[f_1095_1]) ).

cnf(f_1095_3,plain,
    ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(U_5939,binOp_list_char(U_5938,U_5941,U_5940),U_5937),binOp_list_char(U_5936,U_5941,U_5940)),U_5935))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(U_5939,U_5938,U_5937),U_5936),U_5935)) ),
    inference(clausify,[status(thm)],[f_1095_2]) ).

fof(f_1096_1,plain,
    ! [C,Va_1,E_2,Pa,Eb,S,E_b,S_2] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,tryCatch_list_char(Eb,C,Va_1,E_2),S),tryCatch_list_char(E_b,C,Va_1,E_2)),S_2))
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Eb,S),E_b),S_2)) ),
    inference(fof_nnf,[status(thm)],[fact_954_redp__redsp_OTryRed]) ).

fof(f_1096_2,plain,
    ! [U_5949,U_5948,U_5947,U_5946,U_5945,U_5944,U_5943,U_5942] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(U_5946,tryCatch_list_char(U_5945,U_5949,U_5948,U_5947),U_5944),tryCatch_list_char(U_5943,U_5949,U_5948,U_5947)),U_5942))
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(U_5946,U_5945,U_5944),U_5943),U_5942)) ),
    inference(variable_rename,[status(thm)],[f_1096_1]) ).

cnf(f_1096_3,plain,
    ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(U_5946,tryCatch_list_char(U_5945,U_5949,U_5948,U_5947),U_5944),tryCatch_list_char(U_5943,U_5949,U_5948,U_5947)),U_5942))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(U_5946,U_5945,U_5944),U_5943),U_5942)) ),
    inference(clausify,[status(thm)],[f_1096_2]) ).

fof(f_1097_1,plain,
    ! [Bop,E_2,Pa,E_1_1,S_0,Eb,S_1] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,binOp_list_char(E_1_1,Bop,E_2),S_0),throw_list_char(Eb)),S_1))
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1_1,S_0),throw_list_char(Eb)),S_1)) ),
    inference(fof_nnf,[status(thm)],[fact_955_eval__evals_OBinOpThrow1]) ).

fof(f_1097_2,plain,
    ! [U_5956,U_5955,U_5954,U_5953,U_5952,U_5951,U_5950] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_5954,binOp_list_char(U_5953,U_5956,U_5955),U_5952),throw_list_char(U_5951)),U_5950))
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_5954,U_5953,U_5952),throw_list_char(U_5951)),U_5950)) ),
    inference(variable_rename,[status(thm)],[f_1097_1]) ).

cnf(f_1097_3,plain,
    ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_5954,binOp_list_char(U_5953,U_5956,U_5955),U_5952),throw_list_char(U_5951)),U_5950))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_5954,U_5953,U_5952),throw_list_char(U_5951)),U_5950)) ),
    inference(clausify,[status(thm)],[f_1097_2]) ).

fof(f_1098_1,plain,
    ! [V_1_2,Bop,Pa,Eb,S,E_b,S_2] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,binOp_list_char(hAPP_v834067052t_char(val_list_char,V_1_2),Bop,Eb),S),binOp_list_char(hAPP_v834067052t_char(val_list_char,V_1_2),Bop,E_b)),S_2))
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Eb,S),E_b),S_2)) ),
    inference(fof_nnf,[status(thm)],[fact_956_redp__redsp_OBinOpRed2]) ).

fof(f_1098_2,plain,
    ! [U_5963,U_5962,U_5961,U_5960,U_5959,U_5958,U_5957] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(U_5961,binOp_list_char(hAPP_v834067052t_char(val_list_char,U_5963),U_5962,U_5960),U_5959),binOp_list_char(hAPP_v834067052t_char(val_list_char,U_5963),U_5962,U_5958)),U_5957))
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(U_5961,U_5960,U_5959),U_5958),U_5957)) ),
    inference(variable_rename,[status(thm)],[f_1098_1]) ).

cnf(f_1098_3,plain,
    ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(U_5961,binOp_list_char(hAPP_v834067052t_char(val_list_char,U_5963),U_5962,U_5960),U_5959),binOp_list_char(hAPP_v834067052t_char(val_list_char,U_5963),U_5962,U_5958)),U_5957))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(U_5961,U_5960,U_5959),U_5958),U_5957)) ),
    inference(clausify,[status(thm)],[f_1098_2]) ).

fof(f_1099_1,plain,
    ! [Pa,Eb,Bop,E_2,S] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,binOp_list_char(throw_list_char(Eb),Bop,E_2),S),throw_list_char(Eb)),S)),
    inference(fof_nnf,[status(thm)],[fact_957_redp__redsp_OBinOpThrow1]) ).

fof(f_1099_2,plain,
    ! [U_5968,U_5967,U_5966,U_5965,U_5964] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(U_5968,binOp_list_char(throw_list_char(U_5967),U_5966,U_5965),U_5964),throw_list_char(U_5967)),U_5964)),
    inference(variable_rename,[status(thm)],[f_1099_1]) ).

cnf(f_1099_3,plain,
    hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(U_5968,binOp_list_char(throw_list_char(U_5967),U_5966,U_5965),U_5964),throw_list_char(U_5967)),U_5964)),
    inference(clausify,[status(thm)],[f_1099_2]) ).

fof(f_1100_1,plain,
    ! [C,Va_1,E_2,Pa,E_1_1,S_0,V_1_2,S_1] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,tryCatch_list_char(E_1_1,C,Va_1,E_2),S_0),hAPP_v834067052t_char(val_list_char,V_1_2)),S_1))
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1_1,S_0),hAPP_v834067052t_char(val_list_char,V_1_2)),S_1)) ),
    inference(fof_nnf,[status(thm)],[fact_958_Try]) ).

fof(f_1100_2,plain,
    ! [U_5976,U_5975,U_5974,U_5973,U_5972,U_5971,U_5970,U_5969] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_5973,tryCatch_list_char(U_5972,U_5976,U_5975,U_5974),U_5971),hAPP_v834067052t_char(val_list_char,U_5970)),U_5969))
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_5973,U_5972,U_5971),hAPP_v834067052t_char(val_list_char,U_5970)),U_5969)) ),
    inference(variable_rename,[status(thm)],[f_1100_1]) ).

cnf(f_1100_3,plain,
    ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_5973,tryCatch_list_char(U_5972,U_5976,U_5975,U_5974),U_5971),hAPP_v834067052t_char(val_list_char,U_5970)),U_5969))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_5973,U_5972,U_5971),hAPP_v834067052t_char(val_list_char,U_5970)),U_5969)) ),
    inference(clausify,[status(thm)],[f_1100_2]) ).

fof(f_1101_1,plain,
    ! [Pa,Va,C,Va_1,E_2,S] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,tryCatch_list_char(hAPP_v834067052t_char(val_list_char,Va),C,Va_1,E_2),S),hAPP_v834067052t_char(val_list_char,Va)),S)),
    inference(fof_nnf,[status(thm)],[fact_959_redp__redsp_ORedTry]) ).

fof(f_1101_2,plain,
    ! [U_5982,U_5981,U_5980,U_5979,U_5978,U_5977] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(U_5982,tryCatch_list_char(hAPP_v834067052t_char(val_list_char,U_5981),U_5980,U_5979,U_5978),U_5977),hAPP_v834067052t_char(val_list_char,U_5981)),U_5977)),
    inference(variable_rename,[status(thm)],[f_1101_1]) ).

cnf(f_1101_3,plain,
    hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(U_5982,tryCatch_list_char(hAPP_v834067052t_char(val_list_char,U_5981),U_5980,U_5979,U_5978),U_5977),hAPP_v834067052t_char(val_list_char,U_5981)),U_5977)),
    inference(clausify,[status(thm)],[f_1101_2]) ).

fof(f_1102_1,plain,
    ! [E_1_1,Bop,E_2] : fv(binOp_list_char(E_1_1,Bop,E_2)) = semila919158006r_bool(fv(E_1_1),fv(E_2)),
    inference(fof_nnf,[status(thm)],[fact_960_fv__fvs_Osimps_I4_J]) ).

fof(f_1102_2,plain,
    ! [U_5985,U_5984,U_5983] : fv(binOp_list_char(U_5985,U_5984,U_5983)) = semila919158006r_bool(fv(U_5985),fv(U_5983)),
    inference(variable_rename,[status(thm)],[f_1102_1]) ).

cnf(f_1102_3,plain,
    fv(binOp_list_char(U_5985,U_5984,U_5983)) = semila919158006r_bool(fv(U_5985),fv(U_5983)),
    inference(clausify,[status(thm)],[f_1102_2]) ).

fof(f_1103_1,plain,
    ! [Bop,E_2,Eb,S,E_b,S_2,Pa] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,binOp_list_char(Eb,Bop,E_2)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,binOp_list_char(E_b,Bop,E_2)),S_2))),red(Pa)))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_2))),red(Pa))) ),
    inference(fof_nnf,[status(thm)],[fact_961_red__reds_OBinOpRed1]) ).

fof(f_1103_2,plain,
    ! [U_5992,U_5991,U_5990,U_5989,U_5988,U_5987,U_5986] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,binOp_list_char(U_5990,U_5992,U_5991)),U_5989)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,binOp_list_char(U_5988,U_5992,U_5991)),U_5987))),red(U_5986)))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_5990),U_5989)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_5988),U_5987))),red(U_5986))) ),
    inference(variable_rename,[status(thm)],[f_1103_1]) ).

cnf(f_1103_3,plain,
    ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,binOp_list_char(U_5990,U_5992,U_5991)),U_5989)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,binOp_list_char(U_5988,U_5992,U_5991)),U_5987))),red(U_5986)))
    | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_5990),U_5989)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_5988),U_5987))),red(U_5986))) ),
    inference(clausify,[status(thm)],[f_1103_2]) ).

fof(f_1104_1,plain,
    ! [Bop,E_2,Eb,S_2_1,Pa,E_1_1,S_0,V_1_2,S_1] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,binOp_list_char(E_1_1,Bop,E_2),S_0),throw_list_char(Eb)),S_2_1))
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_2,S_1),throw_list_char(Eb)),S_2_1))
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1_1,S_0),hAPP_v834067052t_char(val_list_char,V_1_2)),S_1)) ),
    inference(fof_nnf,[status(thm)],[fact_962_eval__evals_OBinOpThrow2]) ).

fof(f_1104_2,plain,
    ! [U_6001,U_6000,U_5999,U_5998,U_5997,U_5996,U_5995,U_5994,U_5993] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_5997,binOp_list_char(U_5996,U_6001,U_6000),U_5995),throw_list_char(U_5999)),U_5998))
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_5997,U_6000,U_5993),throw_list_char(U_5999)),U_5998))
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_5997,U_5996,U_5995),hAPP_v834067052t_char(val_list_char,U_5994)),U_5993)) ),
    inference(variable_rename,[status(thm)],[f_1104_1]) ).

cnf(f_1104_3,plain,
    ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_5997,binOp_list_char(U_5996,U_6001,U_6000),U_5995),throw_list_char(U_5999)),U_5998))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_5997,U_6000,U_5993),throw_list_char(U_5999)),U_5998))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_5997,U_5996,U_5995),hAPP_v834067052t_char(val_list_char,U_5994)),U_5993)) ),
    inference(clausify,[status(thm)],[f_1104_2]) ).

fof(f_1105_1,plain,
    ! [Pa,V_1_2,Bop,Eb,S] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,binOp_list_char(hAPP_v834067052t_char(val_list_char,V_1_2),Bop,throw_list_char(Eb)),S),throw_list_char(Eb)),S)),
    inference(fof_nnf,[status(thm)],[fact_963_redp__redsp_OBinOpThrow2]) ).

fof(f_1105_2,plain,
    ! [U_6006,U_6005,U_6004,U_6003,U_6002] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(U_6006,binOp_list_char(hAPP_v834067052t_char(val_list_char,U_6005),U_6004,throw_list_char(U_6003)),U_6002),throw_list_char(U_6003)),U_6002)),
    inference(variable_rename,[status(thm)],[f_1105_1]) ).

cnf(f_1105_3,plain,
    hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(U_6006,binOp_list_char(hAPP_v834067052t_char(val_list_char,U_6005),U_6004,throw_list_char(U_6003)),U_6002),throw_list_char(U_6003)),U_6002)),
    inference(clausify,[status(thm)],[f_1105_2]) ).

fof(f_1106_1,plain,
    ! [C,Va_1,E_2,Eb,S,E_b,S_2,Pa] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,tryCatch_list_char(Eb,C,Va_1,E_2)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,tryCatch_list_char(E_b,C,Va_1,E_2)),S_2))),red(Pa)))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_2))),red(Pa))) ),
    inference(fof_nnf,[status(thm)],[fact_964_red__reds_OTryRed]) ).

fof(f_1106_2,plain,
    ! [U_6014,U_6013,U_6012,U_6011,U_6010,U_6009,U_6008,U_6007] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,tryCatch_list_char(U_6011,U_6014,U_6013,U_6012)),U_6010)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,tryCatch_list_char(U_6009,U_6014,U_6013,U_6012)),U_6008))),red(U_6007)))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_6011),U_6010)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_6009),U_6008))),red(U_6007))) ),
    inference(variable_rename,[status(thm)],[f_1106_1]) ).

cnf(f_1106_3,plain,
    ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,tryCatch_list_char(U_6011,U_6014,U_6013,U_6012)),U_6010)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,tryCatch_list_char(U_6009,U_6014,U_6013,U_6012)),U_6008))),red(U_6007)))
    | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_6011),U_6010)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_6009),U_6008))),red(U_6007))) ),
    inference(clausify,[status(thm)],[f_1106_2]) ).

fof(f_1107_1,plain,
    ! [V_1_2,Bop,Eb,S,E_b,S_2,Pa] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,binOp_list_char(hAPP_v834067052t_char(val_list_char,V_1_2),Bop,Eb)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,binOp_list_char(hAPP_v834067052t_char(val_list_char,V_1_2),Bop,E_b)),S_2))),red(Pa)))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_2))),red(Pa))) ),
    inference(fof_nnf,[status(thm)],[fact_965_red__reds_OBinOpRed2]) ).

fof(f_1107_2,plain,
    ! [U_6021,U_6020,U_6019,U_6018,U_6017,U_6016,U_6015] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,binOp_list_char(hAPP_v834067052t_char(val_list_char,U_6021),U_6020,U_6019)),U_6018)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,binOp_list_char(hAPP_v834067052t_char(val_list_char,U_6021),U_6020,U_6017)),U_6016))),red(U_6015)))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_6019),U_6018)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_6017),U_6016))),red(U_6015))) ),
    inference(variable_rename,[status(thm)],[f_1107_1]) ).

cnf(f_1107_3,plain,
    ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,binOp_list_char(hAPP_v834067052t_char(val_list_char,U_6021),U_6020,U_6019)),U_6018)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,binOp_list_char(hAPP_v834067052t_char(val_list_char,U_6021),U_6020,U_6017)),U_6016))),red(U_6015)))
    | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_6019),U_6018)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_6017),U_6016))),red(U_6015))) ),
    inference(clausify,[status(thm)],[f_1107_2]) ).

fof(f_1108_1,plain,
    ! [Eb,Bop,E_2,S,Pa] : hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,binOp_list_char(throw_list_char(Eb),Bop,E_2)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(Eb)),S))),red(Pa))),
    inference(fof_nnf,[status(thm)],[fact_966_red__reds_OBinOpThrow1]) ).

fof(f_1108_2,plain,
    ! [U_6026,U_6025,U_6024,U_6023,U_6022] : hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,binOp_list_char(throw_list_char(U_6026),U_6025,U_6024)),U_6023)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(U_6026)),U_6023))),red(U_6022))),
    inference(variable_rename,[status(thm)],[f_1108_1]) ).

cnf(f_1108_3,plain,
    hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,binOp_list_char(throw_list_char(U_6026),U_6025,U_6024)),U_6023)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(U_6026)),U_6023))),red(U_6022))),
    inference(clausify,[status(thm)],[f_1108_2]) ).

fof(f_1109_1,plain,
    ! [Bop,E_2,Eb,S,E_b,S_2,Pa] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,binOp_list_char(Eb,Bop,E_2)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,binOp_list_char(E_b,Bop,E_2)),S_2))),transi2024712006on_val(red(Pa))))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_2))),transi2024712006on_val(red(Pa)))) ),
    inference(fof_nnf,[status(thm)],[fact_967_BinOp1Reds]) ).

fof(f_1109_2,plain,
    ! [U_6033,U_6032,U_6031,U_6030,U_6029,U_6028,U_6027] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,binOp_list_char(U_6031,U_6033,U_6032)),U_6030)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,binOp_list_char(U_6029,U_6033,U_6032)),U_6028))),transi2024712006on_val(red(U_6027))))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_6031),U_6030)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_6029),U_6028))),transi2024712006on_val(red(U_6027)))) ),
    inference(variable_rename,[status(thm)],[f_1109_1]) ).

cnf(f_1109_3,plain,
    ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,binOp_list_char(U_6031,U_6033,U_6032)),U_6030)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,binOp_list_char(U_6029,U_6033,U_6032)),U_6028))),transi2024712006on_val(red(U_6027))))
    | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_6031),U_6030)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_6029),U_6028))),transi2024712006on_val(red(U_6027)))) ),
    inference(clausify,[status(thm)],[f_1109_2]) ).

fof(f_1110_1,plain,
    ! [Va,C,Va_1,E_2,S,Pa] : hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,tryCatch_list_char(hAPP_v834067052t_char(val_list_char,Va),C,Va_1,E_2)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,Va)),S))),red(Pa))),
    inference(fof_nnf,[status(thm)],[fact_968_red__reds_ORedTry]) ).

fof(f_1110_2,plain,
    ! [U_6039,U_6038,U_6037,U_6036,U_6035,U_6034] : hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,tryCatch_list_char(hAPP_v834067052t_char(val_list_char,U_6039),U_6038,U_6037,U_6036)),U_6035)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,U_6039)),U_6035))),red(U_6034))),
    inference(variable_rename,[status(thm)],[f_1110_1]) ).

cnf(f_1110_3,plain,
    hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,tryCatch_list_char(hAPP_v834067052t_char(val_list_char,U_6039),U_6038,U_6037,U_6036)),U_6035)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,U_6039)),U_6035))),red(U_6034))),
    inference(clausify,[status(thm)],[f_1110_2]) ).

fof(f_1111_1,plain,
    ! [C,Va_1,E_2,Eb,S,E_b,S_2,Pa] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,tryCatch_list_char(Eb,C,Va_1,E_2)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,tryCatch_list_char(E_b,C,Va_1,E_2)),S_2))),transi2024712006on_val(red(Pa))))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_2))),transi2024712006on_val(red(Pa)))) ),
    inference(fof_nnf,[status(thm)],[fact_969_TryReds]) ).

fof(f_1111_2,plain,
    ! [U_6047,U_6046,U_6045,U_6044,U_6043,U_6042,U_6041,U_6040] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,tryCatch_list_char(U_6044,U_6047,U_6046,U_6045)),U_6043)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,tryCatch_list_char(U_6042,U_6047,U_6046,U_6045)),U_6041))),transi2024712006on_val(red(U_6040))))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_6044),U_6043)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_6042),U_6041))),transi2024712006on_val(red(U_6040)))) ),
    inference(variable_rename,[status(thm)],[f_1111_1]) ).

cnf(f_1111_3,plain,
    ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,tryCatch_list_char(U_6044,U_6047,U_6046,U_6045)),U_6043)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,tryCatch_list_char(U_6042,U_6047,U_6046,U_6045)),U_6041))),transi2024712006on_val(red(U_6040))))
    | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_6044),U_6043)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_6042),U_6041))),transi2024712006on_val(red(U_6040)))) ),
    inference(clausify,[status(thm)],[f_1111_2]) ).

fof(f_1112_1,plain,
    ! [Va_1,E_2,C,D,Fs,Pa,E_1_1,S_0,A,H_1,L_1_1] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,tryCatch_list_char(E_1_1,C,Va_1,E_2),S_0),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A)))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_1),L_1_1)))
      | hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,D),C)),transi1395422419t_char(subcls851966956t_char(Pa))))
      | hAPP_n546249108on_val(H_1,A) != hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,D),Fs))
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1_1,S_0),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A)))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_1),L_1_1))) ),
    inference(fof_nnf,[status(thm)],[fact_970_TryThrow]) ).

fof(f_1112_2,plain,
    ! [U_6058,U_6057,U_6056,U_6055,U_6054,U_6053,U_6052,U_6051,U_6050,U_6049,U_6048] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6053,tryCatch_list_char(U_6052,U_6056,U_6058,U_6057),U_6051),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(U_6050)))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_6049),U_6048)))
      | hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_6055),U_6056)),transi1395422419t_char(subcls851966956t_char(U_6053))))
      | hAPP_n546249108on_val(U_6049,U_6050) != hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_6055),U_6054))
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6053,U_6052,U_6051),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(U_6050)))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_6049),U_6048))) ),
    inference(variable_rename,[status(thm)],[f_1112_1]) ).

cnf(f_1112_3,plain,
    ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6053,tryCatch_list_char(U_6052,U_6056,U_6058,U_6057),U_6051),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(U_6050)))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_6049),U_6048)))
    | hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_6055),U_6056)),transi1395422419t_char(subcls851966956t_char(U_6053))))
    | hAPP_n546249108on_val(U_6049,U_6050) != hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_6055),U_6054))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6053,U_6052,U_6051),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(U_6050)))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_6049),U_6048))) ),
    inference(clausify,[status(thm)],[f_1112_2]) ).

fof(f_1113_1,plain,
    ! [V_1_2,Bop,Eb,S,Pa] : hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,binOp_list_char(hAPP_v834067052t_char(val_list_char,V_1_2),Bop,throw_list_char(Eb))),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(Eb)),S))),red(Pa))),
    inference(fof_nnf,[status(thm)],[fact_971_red__reds_OBinOpThrow2]) ).

fof(f_1113_2,plain,
    ! [U_6063,U_6062,U_6061,U_6060,U_6059] : hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,binOp_list_char(hAPP_v834067052t_char(val_list_char,U_6063),U_6062,throw_list_char(U_6061))),U_6060)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(U_6061)),U_6060))),red(U_6059))),
    inference(variable_rename,[status(thm)],[f_1113_1]) ).

cnf(f_1113_3,plain,
    hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,binOp_list_char(hAPP_v834067052t_char(val_list_char,U_6063),U_6062,throw_list_char(U_6061))),U_6060)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(U_6061)),U_6060))),red(U_6059))),
    inference(clausify,[status(thm)],[f_1113_2]) ).

fof(f_1114_1,plain,
    ! [Va,Bop,Eb,S,E_b,S_2,Pa] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,binOp_list_char(hAPP_v834067052t_char(val_list_char,Va),Bop,Eb)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,binOp_list_char(hAPP_v834067052t_char(val_list_char,Va),Bop,E_b)),S_2))),transi2024712006on_val(red(Pa))))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_2))),transi2024712006on_val(red(Pa)))) ),
    inference(fof_nnf,[status(thm)],[fact_972_BinOp2Reds]) ).

fof(f_1114_2,plain,
    ! [U_6070,U_6069,U_6068,U_6067,U_6066,U_6065,U_6064] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,binOp_list_char(hAPP_v834067052t_char(val_list_char,U_6070),U_6069,U_6068)),U_6067)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,binOp_list_char(hAPP_v834067052t_char(val_list_char,U_6070),U_6069,U_6066)),U_6065))),transi2024712006on_val(red(U_6064))))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_6068),U_6067)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_6066),U_6065))),transi2024712006on_val(red(U_6064)))) ),
    inference(variable_rename,[status(thm)],[f_1114_1]) ).

cnf(f_1114_3,plain,
    ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,binOp_list_char(hAPP_v834067052t_char(val_list_char,U_6070),U_6069,U_6068)),U_6067)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,binOp_list_char(hAPP_v834067052t_char(val_list_char,U_6070),U_6069,U_6066)),U_6065))),transi2024712006on_val(red(U_6064))))
    | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_6068),U_6067)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_6066),U_6065))),transi2024712006on_val(red(U_6064)))) ),
    inference(clausify,[status(thm)],[f_1114_2]) ).

fof(f_1115_1,plain,
    ! [Bop,E_2,Eb,S,E_b,S_2,Pa] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,binOp_list_char(Eb,Bop,E_2)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(E_b)),S_2))),transi2024712006on_val(red(Pa))))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(E_b)),S_2))),transi2024712006on_val(red(Pa)))) ),
    inference(fof_nnf,[status(thm)],[fact_973_BinOpRedsThrow1]) ).

fof(f_1115_2,plain,
    ! [U_6077,U_6076,U_6075,U_6074,U_6073,U_6072,U_6071] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,binOp_list_char(U_6075,U_6077,U_6076)),U_6074)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(U_6073)),U_6072))),transi2024712006on_val(red(U_6071))))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_6075),U_6074)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(U_6073)),U_6072))),transi2024712006on_val(red(U_6071)))) ),
    inference(variable_rename,[status(thm)],[f_1115_1]) ).

cnf(f_1115_3,plain,
    ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,binOp_list_char(U_6075,U_6077,U_6076)),U_6074)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(U_6073)),U_6072))),transi2024712006on_val(red(U_6071))))
    | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_6075),U_6074)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(U_6073)),U_6072))),transi2024712006on_val(red(U_6071)))) ),
    inference(clausify,[status(thm)],[f_1115_2]) ).

fof(f_1116_1,plain,
    ! [C,Va_1,E_2,Eb,S,Va,S_2,Pa] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,tryCatch_list_char(Eb,C,Va_1,E_2)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,Va)),S_2))),transi2024712006on_val(red(Pa))))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,Va)),S_2))),transi2024712006on_val(red(Pa)))) ),
    inference(fof_nnf,[status(thm)],[fact_974_TryRedsVal]) ).

fof(f_1116_2,plain,
    ! [U_6085,U_6084,U_6083,U_6082,U_6081,U_6080,U_6079,U_6078] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,tryCatch_list_char(U_6082,U_6085,U_6084,U_6083)),U_6081)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,U_6080)),U_6079))),transi2024712006on_val(red(U_6078))))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_6082),U_6081)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,U_6080)),U_6079))),transi2024712006on_val(red(U_6078)))) ),
    inference(variable_rename,[status(thm)],[f_1116_1]) ).

cnf(f_1116_3,plain,
    ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,tryCatch_list_char(U_6082,U_6085,U_6084,U_6083)),U_6081)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,U_6080)),U_6079))),transi2024712006on_val(red(U_6078))))
    | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_6082),U_6081)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,U_6080)),U_6079))),transi2024712006on_val(red(U_6078)))) ),
    inference(clausify,[status(thm)],[f_1116_2]) ).

fof(f_1117_1,plain,
    ! [Va_1,E_2,C,Pa,S,A,D,Fs] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,tryCatch_list_char(throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A))),C,Va_1,E_2)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A)))),S))),red(Pa)))
      | hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,D),C)),transi1395422419t_char(subcls851966956t_char(Pa))))
      | hAPP_n546249108on_val(hp(S),A) != hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,D),Fs)) ),
    inference(fof_nnf,[status(thm)],[fact_975_red__reds_ORedTryFail]) ).

fof(f_1117_2,plain,
    ! [U_6093,U_6092,U_6091,U_6090,U_6089,U_6088,U_6087,U_6086] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,tryCatch_list_char(throw_list_char(hAPP_v834067052t_char(val_list_char,addr(U_6088))),U_6091,U_6093,U_6092)),U_6089)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(hAPP_v834067052t_char(val_list_char,addr(U_6088)))),U_6089))),red(U_6090)))
      | hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_6087),U_6091)),transi1395422419t_char(subcls851966956t_char(U_6090))))
      | hAPP_n546249108on_val(hp(U_6089),U_6088) != hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_6087),U_6086)) ),
    inference(variable_rename,[status(thm)],[f_1117_1]) ).

fof(f_1117_3,plain,
    ! [U_6093,U_6092,U_6091,U_6090,U_6089,U_6088,U_6087] :
      ( ! [U_6086] : hAPP_n546249108on_val(hp(U_6089),U_6088) != hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_6087),U_6086))
      | hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,tryCatch_list_char(throw_list_char(hAPP_v834067052t_char(val_list_char,addr(U_6088))),U_6091,U_6093,U_6092)),U_6089)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(hAPP_v834067052t_char(val_list_char,addr(U_6088)))),U_6089))),red(U_6090)))
      | hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_6087),U_6091)),transi1395422419t_char(subcls851966956t_char(U_6090)))) ),
    inference(miniscope,[status(thm)],[f_1117_2]) ).

cnf(f_1117_4,plain,
    ( hAPP_n546249108on_val(hp(U_6089),U_6088) != hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_6087),U_6086))
    | hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,tryCatch_list_char(throw_list_char(hAPP_v834067052t_char(val_list_char,addr(U_6088))),U_6091,U_6093,U_6092)),U_6089)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(hAPP_v834067052t_char(val_list_char,addr(U_6088)))),U_6089))),red(U_6090)))
    | hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_6087),U_6091)),transi1395422419t_char(subcls851966956t_char(U_6090)))) ),
    inference(clausify,[status(thm)],[f_1117_3]) ).

fof(f_1118_1,plain,
    ! [E_2,Va_1,E_2_1,H_2,L_2,C,D,Fs,Pa,E_1_1,S_0,A,H_1,L_1_1] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,tryCatch_list_char(E_1_1,C,Va_1,E_2),S_0),E_2_1),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_2),fun_up1149430426on_val(L_2,Va_1,hAPP_l207779698on_val(L_1_1,Va_1)))))
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_2,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_1),fun_up1149430426on_val(L_1_1,Va_1,hAPP_val_option_val(some_val,addr(A))))),E_2_1),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_2),L_2)))
      | ~ hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,D),C)),transi1395422419t_char(subcls851966956t_char(Pa))))
      | hAPP_n546249108on_val(H_1,A) != hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,D),Fs))
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1_1,S_0),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A)))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_1),L_1_1))) ),
    inference(fof_nnf,[status(thm)],[fact_976_TryCatch]) ).

fof(f_1118_2,plain,
    ! [U_6107,U_6106,U_6105,U_6104,U_6103,U_6102,U_6101,U_6100,U_6099,U_6098,U_6097,U_6096,U_6095,U_6094] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6099,tryCatch_list_char(U_6098,U_6102,U_6106,U_6107),U_6097),U_6105),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_6104),fun_up1149430426on_val(U_6103,U_6106,hAPP_l207779698on_val(U_6094,U_6106)))))
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6099,U_6107,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_6095),fun_up1149430426on_val(U_6094,U_6106,hAPP_val_option_val(some_val,addr(U_6096))))),U_6105),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_6104),U_6103)))
      | ~ hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_6101),U_6102)),transi1395422419t_char(subcls851966956t_char(U_6099))))
      | hAPP_n546249108on_val(U_6095,U_6096) != hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_6101),U_6100))
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6099,U_6098,U_6097),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(U_6096)))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_6095),U_6094))) ),
    inference(variable_rename,[status(thm)],[f_1118_1]) ).

cnf(f_1118_3,plain,
    ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6099,tryCatch_list_char(U_6098,U_6102,U_6106,U_6107),U_6097),U_6105),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_6104),fun_up1149430426on_val(U_6103,U_6106,hAPP_l207779698on_val(U_6094,U_6106)))))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6099,U_6107,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_6095),fun_up1149430426on_val(U_6094,U_6106,hAPP_val_option_val(some_val,addr(U_6096))))),U_6105),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_6104),U_6103)))
    | ~ hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_6101),U_6102)),transi1395422419t_char(subcls851966956t_char(U_6099))))
    | hAPP_n546249108on_val(U_6095,U_6096) != hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_6101),U_6100))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6099,U_6098,U_6097),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(U_6096)))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_6095),U_6094))) ),
    inference(clausify,[status(thm)],[f_1118_2]) ).

fof(f_1119_1,plain,
    ! [Pa,Hb,Ea,Eb,Ta] :
      ( ? [T_r_1] :
          ( hBOOL(is_refT(T_r_1))
          & hBOOL(wTrt_1(Pa,Hb,Ea,Eb,T_r_1)) )
      | ~ hBOOL(wTrt_1(Pa,Hb,Ea,throw_list_char(Eb),Ta)) ),
    inference(fof_nnf,[status(thm)],[fact_977_WTrt__elim__cases_I4_J]) ).

fof(f_1119_2,plain,
    ! [U_6113,U_6112,U_6111,U_6110,U_6109] :
      ( ? [U_6108] :
          ( hBOOL(is_refT(U_6108))
          & hBOOL(wTrt_1(U_6113,U_6112,U_6111,U_6110,U_6108)) )
      | ~ hBOOL(wTrt_1(U_6113,U_6112,U_6111,throw_list_char(U_6110),U_6109)) ),
    inference(variable_rename,[status(thm)],[f_1119_1]) ).

fof(f_1119_3,plain,
    ! [U_6113,U_6112,U_6111,U_6110] :
      ( ! [U_6109] : ~ hBOOL(wTrt_1(U_6113,U_6112,U_6111,throw_list_char(U_6110),U_6109))
      | ? [U_6108] :
          ( hBOOL(is_refT(U_6108))
          & hBOOL(wTrt_1(U_6113,U_6112,U_6111,U_6110,U_6108)) ) ),
    inference(miniscope,[status(thm)],[f_1119_2]) ).

fof(f_1119_4,plain,
    ! [U_6113,U_6112,U_6111,U_6110] :
      ( ! [U_6109] : ~ hBOOL(wTrt_1(U_6113,U_6112,U_6111,throw_list_char(U_6110),U_6109))
      | ( hBOOL(is_refT(sK961(U_6113,U_6112,U_6111,U_6110)))
        & hBOOL(wTrt_1(U_6113,U_6112,U_6111,U_6110,sK961(U_6113,U_6112,U_6111,U_6110))) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK961]),skolemize(U_6108,sK961(U_6113,U_6112,U_6111,U_6110))],[f_1119_3]) ).

cnf(f_1119_5,plain,
    ( hBOOL(wTrt_1(U_6113,U_6112,U_6111,U_6110,sK961(U_6113,U_6112,U_6111,U_6110)))
    | ~ hBOOL(wTrt_1(U_6113,U_6112,U_6111,throw_list_char(U_6110),U_6109)) ),
    inference(clausify,[status(thm)],[f_1119_4]) ).

cnf(f_1119_6,plain,
    ( hBOOL(is_refT(sK961(U_6113,U_6112,U_6111,U_6110)))
    | ~ hBOOL(wTrt_1(U_6113,U_6112,U_6111,throw_list_char(U_6110),U_6109)) ),
    inference(clausify,[status(thm)],[f_1119_4]) ).

fof(f_1120_1,plain,
    ! [X_2,A,Hb] :
      ( hBOOL(preallocated(fun_up2041264236on_val(Hb,A,hAPP_P1510515380on_val(some_P948696889on_val,X_2))))
      | hAPP_n546249108on_val(Hb,A) != none_P179726773on_val
      | ~ hBOOL(preallocated(Hb)) ),
    inference(fof_nnf,[status(thm)],[fact_978_preallocated__new]) ).

fof(f_1120_2,plain,
    ! [U_6116,U_6115,U_6114] :
      ( hBOOL(preallocated(fun_up2041264236on_val(U_6114,U_6115,hAPP_P1510515380on_val(some_P948696889on_val,U_6116))))
      | hAPP_n546249108on_val(U_6114,U_6115) != none_P179726773on_val
      | ~ hBOOL(preallocated(U_6114)) ),
    inference(variable_rename,[status(thm)],[f_1120_1]) ).

cnf(f_1120_3,plain,
    ( hBOOL(preallocated(fun_up2041264236on_val(U_6114,U_6115,hAPP_P1510515380on_val(some_P948696889on_val,U_6116))))
    | hAPP_n546249108on_val(U_6114,U_6115) != none_P179726773on_val
    | ~ hBOOL(preallocated(U_6114)) ),
    inference(clausify,[status(thm)],[f_1120_2]) ).

fof(f_1121_1,plain,
    ! [Va_1,E_2,C,Pa,S,A,D,Fs] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,tryCatch_list_char(throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A))),C,Va_1,E_2)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,block_list_char(Va_1,hAPP_list_char_ty(class,C),seq_list_char(lAss_list_char(Va_1,hAPP_v834067052t_char(val_list_char,addr(A))),E_2))),S))),red(Pa)))
      | ~ hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,D),C)),transi1395422419t_char(subcls851966956t_char(Pa))))
      | hAPP_n546249108on_val(hp(S),A) != hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,D),Fs)) ),
    inference(fof_nnf,[status(thm)],[fact_979_red__reds_ORedTryCatch]) ).

fof(f_1121_2,plain,
    ! [U_6124,U_6123,U_6122,U_6121,U_6120,U_6119,U_6118,U_6117] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,tryCatch_list_char(throw_list_char(hAPP_v834067052t_char(val_list_char,addr(U_6119))),U_6122,U_6124,U_6123)),U_6120)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,block_list_char(U_6124,hAPP_list_char_ty(class,U_6122),seq_list_char(lAss_list_char(U_6124,hAPP_v834067052t_char(val_list_char,addr(U_6119))),U_6123))),U_6120))),red(U_6121)))
      | ~ hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_6118),U_6122)),transi1395422419t_char(subcls851966956t_char(U_6121))))
      | hAPP_n546249108on_val(hp(U_6120),U_6119) != hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_6118),U_6117)) ),
    inference(variable_rename,[status(thm)],[f_1121_1]) ).

fof(f_1121_3,plain,
    ! [U_6124,U_6123,U_6122,U_6121,U_6120,U_6119,U_6118] :
      ( ! [U_6117] : hAPP_n546249108on_val(hp(U_6120),U_6119) != hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_6118),U_6117))
      | hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,tryCatch_list_char(throw_list_char(hAPP_v834067052t_char(val_list_char,addr(U_6119))),U_6122,U_6124,U_6123)),U_6120)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,block_list_char(U_6124,hAPP_list_char_ty(class,U_6122),seq_list_char(lAss_list_char(U_6124,hAPP_v834067052t_char(val_list_char,addr(U_6119))),U_6123))),U_6120))),red(U_6121)))
      | ~ hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_6118),U_6122)),transi1395422419t_char(subcls851966956t_char(U_6121)))) ),
    inference(miniscope,[status(thm)],[f_1121_2]) ).

cnf(f_1121_4,plain,
    ( hAPP_n546249108on_val(hp(U_6120),U_6119) != hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_6118),U_6117))
    | hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,tryCatch_list_char(throw_list_char(hAPP_v834067052t_char(val_list_char,addr(U_6119))),U_6122,U_6124,U_6123)),U_6120)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,block_list_char(U_6124,hAPP_list_char_ty(class,U_6122),seq_list_char(lAss_list_char(U_6124,hAPP_v834067052t_char(val_list_char,addr(U_6119))),U_6123))),U_6120))),red(U_6121)))
    | ~ hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_6118),U_6122)),transi1395422419t_char(subcls851966956t_char(U_6121)))) ),
    inference(clausify,[status(thm)],[f_1121_3]) ).

fof(f_1122_1,plain,
    ! [Fs_2,A,C,Fs,Hb] :
      ( hBOOL(preallocated(fun_up2041264236on_val(Hb,A,hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),Fs_2)))))
      | hAPP_n546249108on_val(Hb,A) != hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),Fs))
      | ~ hBOOL(preallocated(Hb)) ),
    inference(fof_nnf,[status(thm)],[fact_980_preallocated__upd__obj]) ).

fof(f_1122_2,plain,
    ! [U_6129,U_6128,U_6127,U_6126,U_6125] :
      ( hBOOL(preallocated(fun_up2041264236on_val(U_6125,U_6128,hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_6127),U_6129)))))
      | hAPP_n546249108on_val(U_6125,U_6128) != hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_6127),U_6126))
      | ~ hBOOL(preallocated(U_6125)) ),
    inference(variable_rename,[status(thm)],[f_1122_1]) ).

cnf(f_1122_3,plain,
    ( hBOOL(preallocated(fun_up2041264236on_val(U_6125,U_6128,hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_6127),U_6129)))))
    | hAPP_n546249108on_val(U_6125,U_6128) != hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_6127),U_6126))
    | ~ hBOOL(preallocated(U_6125)) ),
    inference(clausify,[status(thm)],[f_1122_2]) ).

fof(f_1123_1,plain,
    ! [C,D,Fs,Eb,S,A,S_2,Pa] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cast_list_char(C,Eb)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,addr(A))),S_2))),transi2024712006on_val(red(Pa))))
      | ~ hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,D),C)),transi1395422419t_char(subcls851966956t_char(Pa))))
      | hAPP_n546249108on_val(hp(S_2),A) != hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,D),Fs))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,addr(A))),S_2))),transi2024712006on_val(red(Pa)))) ),
    inference(fof_nnf,[status(thm)],[fact_981_CastRedsAddr]) ).

fof(f_1123_2,plain,
    ! [U_6137,U_6136,U_6135,U_6134,U_6133,U_6132,U_6131,U_6130] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cast_list_char(U_6137,U_6134)),U_6133)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,addr(U_6132))),U_6131))),transi2024712006on_val(red(U_6130))))
      | ~ hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_6136),U_6137)),transi1395422419t_char(subcls851966956t_char(U_6130))))
      | hAPP_n546249108on_val(hp(U_6131),U_6132) != hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_6136),U_6135))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_6134),U_6133)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,addr(U_6132))),U_6131))),transi2024712006on_val(red(U_6130)))) ),
    inference(variable_rename,[status(thm)],[f_1123_1]) ).

cnf(f_1123_3,plain,
    ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cast_list_char(U_6137,U_6134)),U_6133)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,addr(U_6132))),U_6131))),transi2024712006on_val(red(U_6130))))
    | ~ hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_6136),U_6137)),transi1395422419t_char(subcls851966956t_char(U_6130))))
    | hAPP_n546249108on_val(hp(U_6131),U_6132) != hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_6136),U_6135))
    | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_6134),U_6133)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,addr(U_6132))),U_6131))),transi2024712006on_val(red(U_6130)))) ),
    inference(clausify,[status(thm)],[f_1123_2]) ).

fof(f_1124_1,plain,
    ! [Va_1,C,E_2,T_2_2,Pa,Hb,Ea,E_1_1,T_1_1] :
      ( hBOOL(wTrt_1(Pa,Hb,Ea,tryCatch_list_char(E_1_1,C,Va_1,E_2),T_2_2))
      | ~ hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(Pa),T_1_1),T_2_2))
      | ~ hBOOL(wTrt_1(Pa,Hb,fun_up424764369ion_ty(Ea,Va_1,hAPP_ty_option_ty(some_ty,hAPP_list_char_ty(class,C))),E_2,T_2_2))
      | ~ hBOOL(wTrt_1(Pa,Hb,Ea,E_1_1,T_1_1)) ),
    inference(fof_nnf,[status(thm)],[fact_982_WTrtTry]) ).

fof(f_1124_2,plain,
    ! [U_6146,U_6145,U_6144,U_6143,U_6142,U_6141,U_6140,U_6139,U_6138] :
      ( hBOOL(wTrt_1(U_6142,U_6141,U_6140,tryCatch_list_char(U_6139,U_6145,U_6146,U_6144),U_6143))
      | ~ hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(U_6142),U_6138),U_6143))
      | ~ hBOOL(wTrt_1(U_6142,U_6141,fun_up424764369ion_ty(U_6140,U_6146,hAPP_ty_option_ty(some_ty,hAPP_list_char_ty(class,U_6145))),U_6144,U_6143))
      | ~ hBOOL(wTrt_1(U_6142,U_6141,U_6140,U_6139,U_6138)) ),
    inference(variable_rename,[status(thm)],[f_1124_1]) ).

cnf(f_1124_3,plain,
    ( hBOOL(wTrt_1(U_6142,U_6141,U_6140,tryCatch_list_char(U_6139,U_6145,U_6146,U_6144),U_6143))
    | ~ hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(U_6142),U_6138),U_6143))
    | ~ hBOOL(wTrt_1(U_6142,U_6141,fun_up424764369ion_ty(U_6140,U_6146,hAPP_ty_option_ty(some_ty,hAPP_list_char_ty(class,U_6145))),U_6144,U_6143))
    | ~ hBOOL(wTrt_1(U_6142,U_6141,U_6140,U_6139,U_6138)) ),
    inference(clausify,[status(thm)],[f_1124_2]) ).

fof(f_1125_1,plain,
    ! [C,Pa,Eb,S,E_b,S_2] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,cast_list_char(C,Eb),S),cast_list_char(C,E_b)),S_2))
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Eb,S),E_b),S_2)) ),
    inference(fof_nnf,[status(thm)],[fact_983_redp__redsp_OCastRed]) ).

fof(f_1125_2,plain,
    ! [U_6152,U_6151,U_6150,U_6149,U_6148,U_6147] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(U_6151,cast_list_char(U_6152,U_6150),U_6149),cast_list_char(U_6152,U_6148)),U_6147))
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(U_6151,U_6150,U_6149),U_6148),U_6147)) ),
    inference(variable_rename,[status(thm)],[f_1125_1]) ).

cnf(f_1125_3,plain,
    ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(U_6151,cast_list_char(U_6152,U_6150),U_6149),cast_list_char(U_6152,U_6148)),U_6147))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(U_6151,U_6150,U_6149),U_6148),U_6147)) ),
    inference(clausify,[status(thm)],[f_1125_2]) ).

fof(f_1126_1,plain,
    ! [C,Eb] : fv(cast_list_char(C,Eb)) = fv(Eb),
    inference(fof_nnf,[status(thm)],[fact_984_fv__fvs_Osimps_I2_J]) ).

fof(f_1126_2,plain,
    ! [U_6154,U_6153] : fv(cast_list_char(U_6154,U_6153)) = fv(U_6153),
    inference(variable_rename,[status(thm)],[f_1126_1]) ).

cnf(f_1126_3,plain,
    fv(cast_list_char(U_6154,U_6153)) = fv(U_6153),
    inference(clausify,[status(thm)],[f_1126_2]) ).

fof(f_1127_1,plain,
    ! [C,Pa,Eb,S_0,E_b,S_1] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,cast_list_char(C,Eb),S_0),throw_list_char(E_b)),S_1))
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S_0),throw_list_char(E_b)),S_1)) ),
    inference(fof_nnf,[status(thm)],[fact_985_eval__evals_OCastThrow]) ).

fof(f_1127_2,plain,
    ! [U_6160,U_6159,U_6158,U_6157,U_6156,U_6155] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6159,cast_list_char(U_6160,U_6158),U_6157),throw_list_char(U_6156)),U_6155))
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6159,U_6158,U_6157),throw_list_char(U_6156)),U_6155)) ),
    inference(variable_rename,[status(thm)],[f_1127_1]) ).

cnf(f_1127_3,plain,
    ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6159,cast_list_char(U_6160,U_6158),U_6157),throw_list_char(U_6156)),U_6155))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6159,U_6158,U_6157),throw_list_char(U_6156)),U_6155)) ),
    inference(clausify,[status(thm)],[f_1127_2]) ).

fof(f_1128_1,plain,
    ! [Pa,C,Eb,S] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,cast_list_char(C,throw_list_char(Eb)),S),throw_list_char(Eb)),S)),
    inference(fof_nnf,[status(thm)],[fact_986_redp__redsp_OCastThrow]) ).

fof(f_1128_2,plain,
    ! [U_6164,U_6163,U_6162,U_6161] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(U_6164,cast_list_char(U_6163,throw_list_char(U_6162)),U_6161),throw_list_char(U_6162)),U_6161)),
    inference(variable_rename,[status(thm)],[f_1128_1]) ).

cnf(f_1128_3,plain,
    hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(U_6164,cast_list_char(U_6163,throw_list_char(U_6162)),U_6161),throw_list_char(U_6162)),U_6161)),
    inference(clausify,[status(thm)],[f_1128_2]) ).

fof(f_1129_1,plain,
    ! [F,Ta,D,Pa,Hb,Ea,Eb,C] :
      ( hBOOL(wTrt_1(Pa,Hb,Ea,fAcc_list_char(Eb,F,D),Ta))
      | ~ hBOOL(hAPP_list_char_bool(has_fi1183600461t_char(Pa,C,F,Ta),D))
      | ~ hBOOL(wTrt_1(Pa,Hb,Ea,Eb,hAPP_list_char_ty(class,C))) ),
    inference(fof_nnf,[status(thm)],[fact_987_WTrtFAcc]) ).

fof(f_1129_2,plain,
    ! [U_6172,U_6171,U_6170,U_6169,U_6168,U_6167,U_6166,U_6165] :
      ( hBOOL(wTrt_1(U_6169,U_6168,U_6167,fAcc_list_char(U_6166,U_6172,U_6170),U_6171))
      | ~ hBOOL(hAPP_list_char_bool(has_fi1183600461t_char(U_6169,U_6165,U_6172,U_6171),U_6170))
      | ~ hBOOL(wTrt_1(U_6169,U_6168,U_6167,U_6166,hAPP_list_char_ty(class,U_6165))) ),
    inference(variable_rename,[status(thm)],[f_1129_1]) ).

cnf(f_1129_3,plain,
    ( hBOOL(wTrt_1(U_6169,U_6168,U_6167,fAcc_list_char(U_6166,U_6172,U_6170),U_6171))
    | ~ hBOOL(hAPP_list_char_bool(has_fi1183600461t_char(U_6169,U_6165,U_6172,U_6171),U_6170))
    | ~ hBOOL(wTrt_1(U_6169,U_6168,U_6167,U_6166,hAPP_list_char_ty(class,U_6165))) ),
    inference(clausify,[status(thm)],[f_1129_2]) ).

fof(f_1130_1,plain,
    ! [C,Eb,S,E_b,S_2,Pa] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cast_list_char(C,Eb)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cast_list_char(C,E_b)),S_2))),red(Pa)))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_2))),red(Pa))) ),
    inference(fof_nnf,[status(thm)],[fact_988_red__reds_OCastRed]) ).

fof(f_1130_2,plain,
    ! [U_6178,U_6177,U_6176,U_6175,U_6174,U_6173] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cast_list_char(U_6178,U_6177)),U_6176)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cast_list_char(U_6178,U_6175)),U_6174))),red(U_6173)))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_6177),U_6176)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_6175),U_6174))),red(U_6173))) ),
    inference(variable_rename,[status(thm)],[f_1130_1]) ).

cnf(f_1130_3,plain,
    ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cast_list_char(U_6178,U_6177)),U_6176)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cast_list_char(U_6178,U_6175)),U_6174))),red(U_6173)))
    | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_6177),U_6176)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_6175),U_6174))),red(U_6173))) ),
    inference(clausify,[status(thm)],[f_1130_2]) ).

fof(f_1131_1,plain,
    ! [C,Eb,S,Pa] : hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cast_list_char(C,throw_list_char(Eb))),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(Eb)),S))),red(Pa))),
    inference(fof_nnf,[status(thm)],[fact_989_red__reds_OCastThrow]) ).

fof(f_1131_2,plain,
    ! [U_6182,U_6181,U_6180,U_6179] : hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cast_list_char(U_6182,throw_list_char(U_6181))),U_6180)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(U_6181)),U_6180))),red(U_6179))),
    inference(variable_rename,[status(thm)],[f_1131_1]) ).

cnf(f_1131_3,plain,
    hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cast_list_char(U_6182,throw_list_char(U_6181))),U_6180)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(U_6181)),U_6180))),red(U_6179))),
    inference(clausify,[status(thm)],[f_1131_2]) ).

fof(f_1132_1,plain,
    ! [C,Eb,S,E_b,S_2,Pa] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cast_list_char(C,Eb)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cast_list_char(C,E_b)),S_2))),transi2024712006on_val(red(Pa))))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_2))),transi2024712006on_val(red(Pa)))) ),
    inference(fof_nnf,[status(thm)],[fact_990_CastReds]) ).

fof(f_1132_2,plain,
    ! [U_6188,U_6187,U_6186,U_6185,U_6184,U_6183] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cast_list_char(U_6188,U_6187)),U_6186)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cast_list_char(U_6188,U_6185)),U_6184))),transi2024712006on_val(red(U_6183))))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_6187),U_6186)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_6185),U_6184))),transi2024712006on_val(red(U_6183)))) ),
    inference(variable_rename,[status(thm)],[f_1132_1]) ).

cnf(f_1132_3,plain,
    ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cast_list_char(U_6188,U_6187)),U_6186)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cast_list_char(U_6188,U_6185)),U_6184))),transi2024712006on_val(red(U_6183))))
    | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_6187),U_6186)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_6185),U_6184))),transi2024712006on_val(red(U_6183)))) ),
    inference(clausify,[status(thm)],[f_1132_2]) ).

fof(f_1133_1,plain,
    ! [E_2,T_2_2,F,Ta,D,Pa,Hb,Ea,E_1_1,C] :
      ( hBOOL(wTrt_1(Pa,Hb,Ea,fAss_list_char(E_1_1,F,D,E_2),void))
      | ~ hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(Pa),T_2_2),Ta))
      | ~ hBOOL(wTrt_1(Pa,Hb,Ea,E_2,T_2_2))
      | ~ hBOOL(hAPP_list_char_bool(has_fi1183600461t_char(Pa,C,F,Ta),D))
      | ~ hBOOL(wTrt_1(Pa,Hb,Ea,E_1_1,hAPP_list_char_ty(class,C))) ),
    inference(fof_nnf,[status(thm)],[fact_991_WTrtFAss]) ).

fof(f_1133_2,plain,
    ! [U_6198,U_6197,U_6196,U_6195,U_6194,U_6193,U_6192,U_6191,U_6190,U_6189] :
      ( hBOOL(wTrt_1(U_6193,U_6192,U_6191,fAss_list_char(U_6190,U_6196,U_6194,U_6198),void))
      | ~ hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(U_6193),U_6197),U_6195))
      | ~ hBOOL(wTrt_1(U_6193,U_6192,U_6191,U_6198,U_6197))
      | ~ hBOOL(hAPP_list_char_bool(has_fi1183600461t_char(U_6193,U_6189,U_6196,U_6195),U_6194))
      | ~ hBOOL(wTrt_1(U_6193,U_6192,U_6191,U_6190,hAPP_list_char_ty(class,U_6189))) ),
    inference(variable_rename,[status(thm)],[f_1133_1]) ).

cnf(f_1133_3,plain,
    ( hBOOL(wTrt_1(U_6193,U_6192,U_6191,fAss_list_char(U_6190,U_6196,U_6194,U_6198),void))
    | ~ hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(U_6193),U_6197),U_6195))
    | ~ hBOOL(wTrt_1(U_6193,U_6192,U_6191,U_6198,U_6197))
    | ~ hBOOL(hAPP_list_char_bool(has_fi1183600461t_char(U_6193,U_6189,U_6196,U_6195),U_6194))
    | ~ hBOOL(wTrt_1(U_6193,U_6192,U_6191,U_6190,hAPP_list_char_ty(class,U_6189))) ),
    inference(clausify,[status(thm)],[f_1133_2]) ).

fof(f_1134_1,plain,
    ! [C,Eb,S,A,S_2,Pa] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cast_list_char(C,Eb)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(A)),S_2))),transi2024712006on_val(red(Pa))))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(A)),S_2))),transi2024712006on_val(red(Pa)))) ),
    inference(fof_nnf,[status(thm)],[fact_992_CastRedsThrow]) ).

fof(f_1134_2,plain,
    ! [U_6204,U_6203,U_6202,U_6201,U_6200,U_6199] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cast_list_char(U_6204,U_6203)),U_6202)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(U_6201)),U_6200))),transi2024712006on_val(red(U_6199))))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_6203),U_6202)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(U_6201)),U_6200))),transi2024712006on_val(red(U_6199)))) ),
    inference(variable_rename,[status(thm)],[f_1134_1]) ).

cnf(f_1134_3,plain,
    ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cast_list_char(U_6204,U_6203)),U_6202)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(U_6201)),U_6200))),transi2024712006on_val(red(U_6199))))
    | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_6203),U_6202)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(U_6201)),U_6200))),transi2024712006on_val(red(U_6199)))) ),
    inference(clausify,[status(thm)],[f_1134_2]) ).

fof(f_1135_1,plain,
    ! [H_b,Hb] :
      ( hBOOL(preallocated(H_b))
      | ~ hBOOL(hext(Hb,H_b))
      | ~ hBOOL(preallocated(Hb)) ),
    inference(fof_nnf,[status(thm)],[fact_993_preallocated__hext]) ).

fof(f_1135_2,plain,
    ! [U_6206,U_6205] :
      ( hBOOL(preallocated(U_6206))
      | ~ hBOOL(hext(U_6205,U_6206))
      | ~ hBOOL(preallocated(U_6205)) ),
    inference(variable_rename,[status(thm)],[f_1135_1]) ).

cnf(f_1135_3,plain,
    ( hBOOL(preallocated(U_6206))
    | ~ hBOOL(hext(U_6205,U_6206))
    | ~ hBOOL(preallocated(U_6205)) ),
    inference(clausify,[status(thm)],[f_1135_2]) ).

fof(f_1136_1,plain,
    ! [C,D,Fs,Pa,Eb,S_0,A,Hb,Lb] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,cast_list_char(C,Eb),S_0),hAPP_v834067052t_char(val_list_char,addr(A))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb)))
      | ~ hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,D),C)),transi1395422419t_char(subcls851966956t_char(Pa))))
      | hAPP_n546249108on_val(Hb,A) != hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,D),Fs))
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S_0),hAPP_v834067052t_char(val_list_char,addr(A))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb))) ),
    inference(fof_nnf,[status(thm)],[fact_994_Cast]) ).

fof(f_1136_2,plain,
    ! [U_6215,U_6214,U_6213,U_6212,U_6211,U_6210,U_6209,U_6208,U_6207] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6212,cast_list_char(U_6215,U_6211),U_6210),hAPP_v834067052t_char(val_list_char,addr(U_6209))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_6208),U_6207)))
      | ~ hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_6214),U_6215)),transi1395422419t_char(subcls851966956t_char(U_6212))))
      | hAPP_n546249108on_val(U_6208,U_6209) != hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_6214),U_6213))
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6212,U_6211,U_6210),hAPP_v834067052t_char(val_list_char,addr(U_6209))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_6208),U_6207))) ),
    inference(variable_rename,[status(thm)],[f_1136_1]) ).

cnf(f_1136_3,plain,
    ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6212,cast_list_char(U_6215,U_6211),U_6210),hAPP_v834067052t_char(val_list_char,addr(U_6209))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_6208),U_6207)))
    | ~ hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_6214),U_6215)),transi1395422419t_char(subcls851966956t_char(U_6212))))
    | hAPP_n546249108on_val(U_6208,U_6209) != hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_6214),U_6213))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6212,U_6211,U_6210),hAPP_v834067052t_char(val_list_char,addr(U_6209))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_6208),U_6207))) ),
    inference(clausify,[status(thm)],[f_1136_2]) ).

fof(f_1137_1,plain,
    ! [C,Pa,S,A,D,Fs] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cast_list_char(C,hAPP_v834067052t_char(val_list_char,addr(A)))),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,addr(A))),S))),red(Pa)))
      | ~ hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,D),C)),transi1395422419t_char(subcls851966956t_char(Pa))))
      | hAPP_n546249108on_val(hp(S),A) != hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,D),Fs)) ),
    inference(fof_nnf,[status(thm)],[fact_995_red__reds_ORedCast]) ).

fof(f_1137_2,plain,
    ! [U_6221,U_6220,U_6219,U_6218,U_6217,U_6216] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cast_list_char(U_6221,hAPP_v834067052t_char(val_list_char,addr(U_6218)))),U_6219)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,addr(U_6218))),U_6219))),red(U_6220)))
      | ~ hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_6217),U_6221)),transi1395422419t_char(subcls851966956t_char(U_6220))))
      | hAPP_n546249108on_val(hp(U_6219),U_6218) != hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_6217),U_6216)) ),
    inference(variable_rename,[status(thm)],[f_1137_1]) ).

fof(f_1137_3,plain,
    ! [U_6221,U_6220,U_6219,U_6218,U_6217] :
      ( ! [U_6216] : hAPP_n546249108on_val(hp(U_6219),U_6218) != hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_6217),U_6216))
      | hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cast_list_char(U_6221,hAPP_v834067052t_char(val_list_char,addr(U_6218)))),U_6219)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,addr(U_6218))),U_6219))),red(U_6220)))
      | ~ hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_6217),U_6221)),transi1395422419t_char(subcls851966956t_char(U_6220)))) ),
    inference(miniscope,[status(thm)],[f_1137_2]) ).

cnf(f_1137_4,plain,
    ( hAPP_n546249108on_val(hp(U_6219),U_6218) != hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_6217),U_6216))
    | hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cast_list_char(U_6221,hAPP_v834067052t_char(val_list_char,addr(U_6218)))),U_6219)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,addr(U_6218))),U_6219))),red(U_6220)))
    | ~ hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_6217),U_6221)),transi1395422419t_char(subcls851966956t_char(U_6220)))) ),
    inference(clausify,[status(thm)],[f_1137_3]) ).

fof(f_1138_1,plain,
    ! [Pa,Hb,Ea,E_1_1,C,Va_1,E_2,Ta] :
      ( ? [T_1_2] :
          ( hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(Pa),T_1_2),Ta))
          & hBOOL(wTrt_1(Pa,Hb,fun_up424764369ion_ty(Ea,Va_1,hAPP_ty_option_ty(some_ty,hAPP_list_char_ty(class,C))),E_2,Ta))
          & hBOOL(wTrt_1(Pa,Hb,Ea,E_1_1,T_1_2)) )
      | ~ hBOOL(wTrt_1(Pa,Hb,Ea,tryCatch_list_char(E_1_1,C,Va_1,E_2),Ta)) ),
    inference(fof_nnf,[status(thm)],[fact_996_WTrt__elim__cases_I5_J]) ).

fof(f_1138_2,plain,
    ! [U_6230,U_6229,U_6228,U_6227,U_6226,U_6225,U_6224,U_6223] :
      ( ? [U_6222] :
          ( hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(U_6230),U_6222),U_6223))
          & hBOOL(wTrt_1(U_6230,U_6229,fun_up424764369ion_ty(U_6228,U_6225,hAPP_ty_option_ty(some_ty,hAPP_list_char_ty(class,U_6226))),U_6224,U_6223))
          & hBOOL(wTrt_1(U_6230,U_6229,U_6228,U_6227,U_6222)) )
      | ~ hBOOL(wTrt_1(U_6230,U_6229,U_6228,tryCatch_list_char(U_6227,U_6226,U_6225,U_6224),U_6223)) ),
    inference(variable_rename,[status(thm)],[f_1138_1]) ).

fof(f_1138_3,plain,
    ! [U_6230,U_6229,U_6228,U_6227,U_6226,U_6225,U_6224,U_6223] :
      ( ( hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(U_6230),sK962(U_6230,U_6229,U_6228,U_6227,U_6226,U_6225,U_6224,U_6223)),U_6223))
        & hBOOL(wTrt_1(U_6230,U_6229,fun_up424764369ion_ty(U_6228,U_6225,hAPP_ty_option_ty(some_ty,hAPP_list_char_ty(class,U_6226))),U_6224,U_6223))
        & hBOOL(wTrt_1(U_6230,U_6229,U_6228,U_6227,sK962(U_6230,U_6229,U_6228,U_6227,U_6226,U_6225,U_6224,U_6223))) )
      | ~ hBOOL(wTrt_1(U_6230,U_6229,U_6228,tryCatch_list_char(U_6227,U_6226,U_6225,U_6224),U_6223)) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK962]),skolemize(U_6222,sK962(U_6230,U_6229,U_6228,U_6227,U_6226,U_6225,U_6224,U_6223))],[f_1138_2]) ).

cnf(f_1138_4,plain,
    ( hBOOL(wTrt_1(U_6230,U_6229,U_6228,U_6227,sK962(U_6230,U_6229,U_6228,U_6227,U_6226,U_6225,U_6224,U_6223)))
    | ~ hBOOL(wTrt_1(U_6230,U_6229,U_6228,tryCatch_list_char(U_6227,U_6226,U_6225,U_6224),U_6223)) ),
    inference(clausify,[status(thm)],[f_1138_3]) ).

cnf(f_1138_5,plain,
    ( hBOOL(wTrt_1(U_6230,U_6229,fun_up424764369ion_ty(U_6228,U_6225,hAPP_ty_option_ty(some_ty,hAPP_list_char_ty(class,U_6226))),U_6224,U_6223))
    | ~ hBOOL(wTrt_1(U_6230,U_6229,U_6228,tryCatch_list_char(U_6227,U_6226,U_6225,U_6224),U_6223)) ),
    inference(clausify,[status(thm)],[f_1138_3]) ).

cnf(f_1138_6,plain,
    ( hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(U_6230),sK962(U_6230,U_6229,U_6228,U_6227,U_6226,U_6225,U_6224,U_6223)),U_6223))
    | ~ hBOOL(wTrt_1(U_6230,U_6229,U_6228,tryCatch_list_char(U_6227,U_6226,U_6225,U_6224),U_6223)) ),
    inference(clausify,[status(thm)],[f_1138_3]) ).

fof(f_1139_1,plain,
    ! [Pa,Hb,Ea,Eb,C] :
      ( ? [A_1] : Eb = throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A_1)))
      | ? [A_1] : Eb = hAPP_v834067052t_char(val_list_char,addr(A_1))
      | ~ hBOOL(final_list_char(Eb))
      | ~ hBOOL(wTrt_1(Pa,Hb,Ea,Eb,hAPP_list_char_ty(class,C))) ),
    inference(fof_nnf,[status(thm)],[fact_997_final__addrE]) ).

fof(f_1139_2,plain,
    ! [U_6237,U_6236,U_6235,U_6234,U_6233] :
      ( ? [U_6232] : U_6234 = throw_list_char(hAPP_v834067052t_char(val_list_char,addr(U_6232)))
      | ? [U_6231] : U_6234 = hAPP_v834067052t_char(val_list_char,addr(U_6231))
      | ~ hBOOL(final_list_char(U_6234))
      | ~ hBOOL(wTrt_1(U_6237,U_6236,U_6235,U_6234,hAPP_list_char_ty(class,U_6233))) ),
    inference(variable_rename,[status(thm)],[f_1139_1]) ).

fof(f_1139_3,plain,
    ! [U_6237,U_6236,U_6235,U_6234] :
      ( ! [U_6233] : ~ hBOOL(wTrt_1(U_6237,U_6236,U_6235,U_6234,hAPP_list_char_ty(class,U_6233)))
      | ? [U_6232] : U_6234 = throw_list_char(hAPP_v834067052t_char(val_list_char,addr(U_6232)))
      | ? [U_6231] : U_6234 = hAPP_v834067052t_char(val_list_char,addr(U_6231))
      | ~ hBOOL(final_list_char(U_6234)) ),
    inference(miniscope,[status(thm)],[f_1139_2]) ).

fof(f_1139_4,plain,
    ! [U_6237,U_6236,U_6235,U_6234] :
      ( ! [U_6233] : ~ hBOOL(wTrt_1(U_6237,U_6236,U_6235,U_6234,hAPP_list_char_ty(class,U_6233)))
      | ? [U_6232] : U_6234 = throw_list_char(hAPP_v834067052t_char(val_list_char,addr(U_6232)))
      | U_6234 = hAPP_v834067052t_char(val_list_char,addr(sK963(U_6237,U_6236,U_6235,U_6234)))
      | ~ hBOOL(final_list_char(U_6234)) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK963]),skolemize(U_6231,sK963(U_6237,U_6236,U_6235,U_6234))],[f_1139_3]) ).

fof(f_1139_5,plain,
    ! [U_6237,U_6236,U_6235,U_6234] :
      ( ! [U_6233] : ~ hBOOL(wTrt_1(U_6237,U_6236,U_6235,U_6234,hAPP_list_char_ty(class,U_6233)))
      | U_6234 = throw_list_char(hAPP_v834067052t_char(val_list_char,addr(sK964(U_6237,U_6236,U_6235,U_6234))))
      | U_6234 = hAPP_v834067052t_char(val_list_char,addr(sK963(U_6237,U_6236,U_6235,U_6234)))
      | ~ hBOOL(final_list_char(U_6234)) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK964]),skolemize(U_6232,sK964(U_6237,U_6236,U_6235,U_6234))],[f_1139_4]) ).

cnf(f_1139_6,plain,
    ( ~ hBOOL(wTrt_1(U_6237,U_6236,U_6235,U_6234,hAPP_list_char_ty(class,U_6233)))
    | U_6234 = throw_list_char(hAPP_v834067052t_char(val_list_char,addr(sK964(U_6237,U_6236,U_6235,U_6234))))
    | U_6234 = hAPP_v834067052t_char(val_list_char,addr(sK963(U_6237,U_6236,U_6235,U_6234)))
    | ~ hBOOL(final_list_char(U_6234)) ),
    inference(clausify,[status(thm)],[f_1139_5]) ).

fof(f_1140_1,plain,
    ! [Bop,Va,E_2,V_2_1,S_2_1,E_1_1,S_0,V_1_2,S_1,Pa] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,binOp_list_char(E_1_1,Bop,E_2)),S_0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,Va)),S_2_1))),transi2024712006on_val(red(Pa))))
      | binop(hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,Bop),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,V_1_2),V_2_1))) != hAPP_val_option_val(some_val,Va)
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_2),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,V_2_1)),S_2_1))),transi2024712006on_val(red(Pa))))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_1_1),S_0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,V_1_2)),S_1))),transi2024712006on_val(red(Pa)))) ),
    inference(fof_nnf,[status(thm)],[fact_998_BinOpRedsVal]) ).

fof(f_1140_2,plain,
    ! [U_6247,U_6246,U_6245,U_6244,U_6243,U_6242,U_6241,U_6240,U_6239,U_6238] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,binOp_list_char(U_6242,U_6247,U_6245)),U_6241)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,U_6246)),U_6243))),transi2024712006on_val(red(U_6238))))
      | binop(hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_6247),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_6240),U_6244))) != hAPP_val_option_val(some_val,U_6246)
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_6245),U_6239)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,U_6244)),U_6243))),transi2024712006on_val(red(U_6238))))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_6242),U_6241)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,U_6240)),U_6239))),transi2024712006on_val(red(U_6238)))) ),
    inference(variable_rename,[status(thm)],[f_1140_1]) ).

cnf(f_1140_3,plain,
    ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,binOp_list_char(U_6242,U_6247,U_6245)),U_6241)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,U_6246)),U_6243))),transi2024712006on_val(red(U_6238))))
    | binop(hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_6247),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_6240),U_6244))) != hAPP_val_option_val(some_val,U_6246)
    | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_6245),U_6239)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,U_6244)),U_6243))),transi2024712006on_val(red(U_6238))))
    | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_6242),U_6241)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,U_6240)),U_6239))),transi2024712006on_val(red(U_6238)))) ),
    inference(clausify,[status(thm)],[f_1140_2]) ).

fof(f_1141_1,plain,
    ! [C,D,Fs,Eb,S,A,S_2,Pa] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cast_list_char(C,Eb)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(classCast))))),S_2))),transi2024712006on_val(red(Pa))))
      | hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,D),C)),transi1395422419t_char(subcls851966956t_char(Pa))))
      | hAPP_n546249108on_val(hp(S_2),A) != hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,D),Fs))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,addr(A))),S_2))),transi2024712006on_val(red(Pa)))) ),
    inference(fof_nnf,[status(thm)],[fact_999_CastRedsFail]) ).

fof(f_1141_2,plain,
    ! [U_6255,U_6254,U_6253,U_6252,U_6251,U_6250,U_6249,U_6248] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cast_list_char(U_6255,U_6252)),U_6251)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(classCast))))),U_6249))),transi2024712006on_val(red(U_6248))))
      | hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_6254),U_6255)),transi1395422419t_char(subcls851966956t_char(U_6248))))
      | hAPP_n546249108on_val(hp(U_6249),U_6250) != hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_6254),U_6253))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_6252),U_6251)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,addr(U_6250))),U_6249))),transi2024712006on_val(red(U_6248)))) ),
    inference(variable_rename,[status(thm)],[f_1141_1]) ).

cnf(f_1141_3,plain,
    ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cast_list_char(U_6255,U_6252)),U_6251)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(classCast))))),U_6249))),transi2024712006on_val(red(U_6248))))
    | hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_6254),U_6255)),transi1395422419t_char(subcls851966956t_char(U_6248))))
    | hAPP_n546249108on_val(hp(U_6249),U_6250) != hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_6254),U_6253))
    | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_6252),U_6251)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,addr(U_6250))),U_6249))),transi2024712006on_val(red(U_6248)))) ),
    inference(clausify,[status(thm)],[f_1141_2]) ).

fof(f_1142_1,plain,
    ! [Bop,Va,E_2,V_2_1,S_2_1,Pa,E_1_1,S_0,V_1_2,S_1] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,binOp_list_char(E_1_1,Bop,E_2),S_0),hAPP_v834067052t_char(val_list_char,Va)),S_2_1))
      | binop(hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,Bop),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,V_1_2),V_2_1))) != hAPP_val_option_val(some_val,Va)
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_2,S_1),hAPP_v834067052t_char(val_list_char,V_2_1)),S_2_1))
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1_1,S_0),hAPP_v834067052t_char(val_list_char,V_1_2)),S_1)) ),
    inference(fof_nnf,[status(thm)],[fact_1000_BinOp]) ).

fof(f_1142_2,plain,
    ! [U_6265,U_6264,U_6263,U_6262,U_6261,U_6260,U_6259,U_6258,U_6257,U_6256] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6260,binOp_list_char(U_6259,U_6265,U_6263),U_6258),hAPP_v834067052t_char(val_list_char,U_6264)),U_6261))
      | binop(hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_6265),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_6257),U_6262))) != hAPP_val_option_val(some_val,U_6264)
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6260,U_6263,U_6256),hAPP_v834067052t_char(val_list_char,U_6262)),U_6261))
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6260,U_6259,U_6258),hAPP_v834067052t_char(val_list_char,U_6257)),U_6256)) ),
    inference(variable_rename,[status(thm)],[f_1142_1]) ).

cnf(f_1142_3,plain,
    ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6260,binOp_list_char(U_6259,U_6265,U_6263),U_6258),hAPP_v834067052t_char(val_list_char,U_6264)),U_6261))
    | binop(hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_6265),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_6257),U_6262))) != hAPP_val_option_val(some_val,U_6264)
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6260,U_6263,U_6256),hAPP_v834067052t_char(val_list_char,U_6262)),U_6261))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6260,U_6259,U_6258),hAPP_v834067052t_char(val_list_char,U_6257)),U_6256)) ),
    inference(clausify,[status(thm)],[f_1142_2]) ).

fof(f_1143_1,plain,
    ! [Pa,S,Bop,V_1_2,V_2_1,Va] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,binOp_list_char(hAPP_v834067052t_char(val_list_char,V_1_2),Bop,hAPP_v834067052t_char(val_list_char,V_2_1)),S),hAPP_v834067052t_char(val_list_char,Va)),S))
      | binop(hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,Bop),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,V_1_2),V_2_1))) != hAPP_val_option_val(some_val,Va) ),
    inference(fof_nnf,[status(thm)],[fact_1001_redp__redsp_ORedBinOp]) ).

fof(f_1143_2,plain,
    ! [U_6271,U_6270,U_6269,U_6268,U_6267,U_6266] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(U_6271,binOp_list_char(hAPP_v834067052t_char(val_list_char,U_6268),U_6269,hAPP_v834067052t_char(val_list_char,U_6267)),U_6270),hAPP_v834067052t_char(val_list_char,U_6266)),U_6270))
      | binop(hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_6269),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_6268),U_6267))) != hAPP_val_option_val(some_val,U_6266) ),
    inference(variable_rename,[status(thm)],[f_1143_1]) ).

cnf(f_1143_3,plain,
    ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(U_6271,binOp_list_char(hAPP_v834067052t_char(val_list_char,U_6268),U_6269,hAPP_v834067052t_char(val_list_char,U_6267)),U_6270),hAPP_v834067052t_char(val_list_char,U_6266)),U_6270))
    | binop(hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_6269),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_6268),U_6267))) != hAPP_val_option_val(some_val,U_6266) ),
    inference(clausify,[status(thm)],[f_1143_2]) ).

fof(f_1144_1,plain,
    ! [C,D,Fs,Pa,Eb,S_0,A,Hb,Lb] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,cast_list_char(C,Eb),S_0),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(classCast))))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb)))
      | hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,D),C)),transi1395422419t_char(subcls851966956t_char(Pa))))
      | hAPP_n546249108on_val(Hb,A) != hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,D),Fs))
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S_0),hAPP_v834067052t_char(val_list_char,addr(A))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb))) ),
    inference(fof_nnf,[status(thm)],[fact_1002_CastFail]) ).

fof(f_1144_2,plain,
    ! [U_6280,U_6279,U_6278,U_6277,U_6276,U_6275,U_6274,U_6273,U_6272] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6277,cast_list_char(U_6280,U_6276),U_6275),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(classCast))))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_6273),U_6272)))
      | hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_6279),U_6280)),transi1395422419t_char(subcls851966956t_char(U_6277))))
      | hAPP_n546249108on_val(U_6273,U_6274) != hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_6279),U_6278))
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6277,U_6276,U_6275),hAPP_v834067052t_char(val_list_char,addr(U_6274))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_6273),U_6272))) ),
    inference(variable_rename,[status(thm)],[f_1144_1]) ).

cnf(f_1144_3,plain,
    ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6277,cast_list_char(U_6280,U_6276),U_6275),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(classCast))))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_6273),U_6272)))
    | hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_6279),U_6280)),transi1395422419t_char(subcls851966956t_char(U_6277))))
    | hAPP_n546249108on_val(U_6273,U_6274) != hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_6279),U_6278))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6277,U_6276,U_6275),hAPP_v834067052t_char(val_list_char,addr(U_6274))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_6273),U_6272))) ),
    inference(clausify,[status(thm)],[f_1144_2]) ).

fof(f_1145_1,plain,
    ! [C,Pa,S,A,D,Fs] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cast_list_char(C,hAPP_v834067052t_char(val_list_char,addr(A)))),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(classCast))))),S))),red(Pa)))
      | hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,D),C)),transi1395422419t_char(subcls851966956t_char(Pa))))
      | hAPP_n546249108on_val(hp(S),A) != hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,D),Fs)) ),
    inference(fof_nnf,[status(thm)],[fact_1003_red__reds_ORedCastFail]) ).

fof(f_1145_2,plain,
    ! [U_6286,U_6285,U_6284,U_6283,U_6282,U_6281] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cast_list_char(U_6286,hAPP_v834067052t_char(val_list_char,addr(U_6283)))),U_6284)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(classCast))))),U_6284))),red(U_6285)))
      | hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_6282),U_6286)),transi1395422419t_char(subcls851966956t_char(U_6285))))
      | hAPP_n546249108on_val(hp(U_6284),U_6283) != hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_6282),U_6281)) ),
    inference(variable_rename,[status(thm)],[f_1145_1]) ).

fof(f_1145_3,plain,
    ! [U_6286,U_6285,U_6284,U_6283,U_6282] :
      ( ! [U_6281] : hAPP_n546249108on_val(hp(U_6284),U_6283) != hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_6282),U_6281))
      | hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cast_list_char(U_6286,hAPP_v834067052t_char(val_list_char,addr(U_6283)))),U_6284)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(classCast))))),U_6284))),red(U_6285)))
      | hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_6282),U_6286)),transi1395422419t_char(subcls851966956t_char(U_6285)))) ),
    inference(miniscope,[status(thm)],[f_1145_2]) ).

cnf(f_1145_4,plain,
    ( hAPP_n546249108on_val(hp(U_6284),U_6283) != hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_6282),U_6281))
    | hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cast_list_char(U_6286,hAPP_v834067052t_char(val_list_char,addr(U_6283)))),U_6284)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(classCast))))),U_6284))),red(U_6285)))
    | hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,U_6282),U_6286)),transi1395422419t_char(subcls851966956t_char(U_6285)))) ),
    inference(clausify,[status(thm)],[f_1145_3]) ).

fof(f_1146_1,plain,
    ! [S,Pa,Bop,V_1_2,V_2_1,Va] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,binOp_list_char(hAPP_v834067052t_char(val_list_char,V_1_2),Bop,hAPP_v834067052t_char(val_list_char,V_2_1))),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,Va)),S))),red(Pa)))
      | binop(hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,Bop),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,V_1_2),V_2_1))) != hAPP_val_option_val(some_val,Va) ),
    inference(fof_nnf,[status(thm)],[fact_1004_red__reds_ORedBinOp]) ).

fof(f_1146_2,plain,
    ! [U_6292,U_6291,U_6290,U_6289,U_6288,U_6287] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,binOp_list_char(hAPP_v834067052t_char(val_list_char,U_6289),U_6290,hAPP_v834067052t_char(val_list_char,U_6288))),U_6292)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,U_6287)),U_6292))),red(U_6291)))
      | binop(hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_6290),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_6289),U_6288))) != hAPP_val_option_val(some_val,U_6287) ),
    inference(variable_rename,[status(thm)],[f_1146_1]) ).

cnf(f_1146_3,plain,
    ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,binOp_list_char(hAPP_v834067052t_char(val_list_char,U_6289),U_6290,hAPP_v834067052t_char(val_list_char,U_6288))),U_6292)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,U_6287)),U_6292))),red(U_6291)))
    | binop(hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_6290),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_6289),U_6288))) != hAPP_val_option_val(some_val,U_6287) ),
    inference(clausify,[status(thm)],[f_1146_2]) ).

fof(f_1147_1,plain,
    ! [Pa,E_1_1,Bop,E_2,S,E_b,S_2] :
      ( ? [V_1_1,S_1_1,E_4] :
          ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_2,S_1_1),throw_list_char(E_4)),S_2))
          & hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1_1,S),hAPP_v834067052t_char(val_list_char,V_1_1)),S_1_1))
          & E_b = throw_list_char(E_4) )
      | ? [E_4] :
          ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1_1,S),throw_list_char(E_4)),S_2))
          & E_b = throw_list_char(E_4) )
      | ? [V_1_1,S_1_1,V_2_3,V_2] :
          ( binop(hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,Bop),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,V_1_1),V_2_3))) = hAPP_val_option_val(some_val,V_2)
          & hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_2,S_1_1),hAPP_v834067052t_char(val_list_char,V_2_3)),S_2))
          & hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1_1,S),hAPP_v834067052t_char(val_list_char,V_1_1)),S_1_1))
          & E_b = hAPP_v834067052t_char(val_list_char,V_2) )
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,binOp_list_char(E_1_1,Bop,E_2),S),E_b),S_2)) ),
    inference(fof_nnf,[status(thm)],[fact_1005_eval__cases_I3_J]) ).

fof(f_1147_2,plain,
    ! [U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301] :
      ( ? [U_6300,U_6299,U_6298] :
          ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6307,U_6304,U_6299),throw_list_char(U_6298)),U_6301))
          & hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6307,U_6306,U_6303),hAPP_v834067052t_char(val_list_char,U_6300)),U_6299))
          & U_6302 = throw_list_char(U_6298) )
      | ? [U_6297] :
          ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6307,U_6306,U_6303),throw_list_char(U_6297)),U_6301))
          & U_6302 = throw_list_char(U_6297) )
      | ? [U_6296,U_6295,U_6294,U_6293] :
          ( binop(hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_6305),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_6296),U_6294))) = hAPP_val_option_val(some_val,U_6293)
          & hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6307,U_6304,U_6295),hAPP_v834067052t_char(val_list_char,U_6294)),U_6301))
          & hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6307,U_6306,U_6303),hAPP_v834067052t_char(val_list_char,U_6296)),U_6295))
          & U_6302 = hAPP_v834067052t_char(val_list_char,U_6293) )
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6307,binOp_list_char(U_6306,U_6305,U_6304),U_6303),U_6302),U_6301)) ),
    inference(variable_rename,[status(thm)],[f_1147_1]) ).

fof(f_1147_3,plain,
    ! [U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301] :
      ( ? [U_6300,U_6299,U_6298] :
          ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6307,U_6304,U_6299),throw_list_char(U_6298)),U_6301))
          & hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6307,U_6306,U_6303),hAPP_v834067052t_char(val_list_char,U_6300)),U_6299))
          & U_6302 = throw_list_char(U_6298) )
      | ? [U_6297] :
          ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6307,U_6306,U_6303),throw_list_char(U_6297)),U_6301))
          & U_6302 = throw_list_char(U_6297) )
      | ? [U_6295,U_6294,U_6293] :
          ( binop(hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_6305),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,sK965(U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301)),U_6294))) = hAPP_val_option_val(some_val,U_6293)
          & hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6307,U_6304,U_6295),hAPP_v834067052t_char(val_list_char,U_6294)),U_6301))
          & hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6307,U_6306,U_6303),hAPP_v834067052t_char(val_list_char,sK965(U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301))),U_6295))
          & U_6302 = hAPP_v834067052t_char(val_list_char,U_6293) )
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6307,binOp_list_char(U_6306,U_6305,U_6304),U_6303),U_6302),U_6301)) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK965]),skolemize(U_6296,sK965(U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301))],[f_1147_2]) ).

fof(f_1147_4,plain,
    ! [U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301] :
      ( ? [U_6300,U_6299,U_6298] :
          ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6307,U_6304,U_6299),throw_list_char(U_6298)),U_6301))
          & hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6307,U_6306,U_6303),hAPP_v834067052t_char(val_list_char,U_6300)),U_6299))
          & U_6302 = throw_list_char(U_6298) )
      | ? [U_6297] :
          ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6307,U_6306,U_6303),throw_list_char(U_6297)),U_6301))
          & U_6302 = throw_list_char(U_6297) )
      | ? [U_6294,U_6293] :
          ( binop(hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_6305),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,sK965(U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301)),U_6294))) = hAPP_val_option_val(some_val,U_6293)
          & hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6307,U_6304,sK966(U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301)),hAPP_v834067052t_char(val_list_char,U_6294)),U_6301))
          & hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6307,U_6306,U_6303),hAPP_v834067052t_char(val_list_char,sK965(U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301))),sK966(U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301)))
          & U_6302 = hAPP_v834067052t_char(val_list_char,U_6293) )
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6307,binOp_list_char(U_6306,U_6305,U_6304),U_6303),U_6302),U_6301)) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK966]),skolemize(U_6295,sK966(U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301))],[f_1147_3]) ).

fof(f_1147_5,plain,
    ! [U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301] :
      ( ? [U_6300,U_6299,U_6298] :
          ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6307,U_6304,U_6299),throw_list_char(U_6298)),U_6301))
          & hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6307,U_6306,U_6303),hAPP_v834067052t_char(val_list_char,U_6300)),U_6299))
          & U_6302 = throw_list_char(U_6298) )
      | ? [U_6297] :
          ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6307,U_6306,U_6303),throw_list_char(U_6297)),U_6301))
          & U_6302 = throw_list_char(U_6297) )
      | ? [U_6293] :
          ( binop(hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_6305),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,sK965(U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301)),sK967(U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301)))) = hAPP_val_option_val(some_val,U_6293)
          & hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6307,U_6304,sK966(U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301)),hAPP_v834067052t_char(val_list_char,sK967(U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301))),U_6301))
          & hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6307,U_6306,U_6303),hAPP_v834067052t_char(val_list_char,sK965(U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301))),sK966(U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301)))
          & U_6302 = hAPP_v834067052t_char(val_list_char,U_6293) )
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6307,binOp_list_char(U_6306,U_6305,U_6304),U_6303),U_6302),U_6301)) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK967]),skolemize(U_6294,sK967(U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301))],[f_1147_4]) ).

fof(f_1147_6,plain,
    ! [U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301] :
      ( ? [U_6300,U_6299,U_6298] :
          ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6307,U_6304,U_6299),throw_list_char(U_6298)),U_6301))
          & hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6307,U_6306,U_6303),hAPP_v834067052t_char(val_list_char,U_6300)),U_6299))
          & U_6302 = throw_list_char(U_6298) )
      | ? [U_6297] :
          ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6307,U_6306,U_6303),throw_list_char(U_6297)),U_6301))
          & U_6302 = throw_list_char(U_6297) )
      | ( binop(hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_6305),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,sK965(U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301)),sK967(U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301)))) = hAPP_val_option_val(some_val,sK968(U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301))
        & hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6307,U_6304,sK966(U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301)),hAPP_v834067052t_char(val_list_char,sK967(U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301))),U_6301))
        & hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6307,U_6306,U_6303),hAPP_v834067052t_char(val_list_char,sK965(U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301))),sK966(U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301)))
        & U_6302 = hAPP_v834067052t_char(val_list_char,sK968(U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301)) )
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6307,binOp_list_char(U_6306,U_6305,U_6304),U_6303),U_6302),U_6301)) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK968]),skolemize(U_6293,sK968(U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301))],[f_1147_5]) ).

fof(f_1147_7,plain,
    ! [U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301] :
      ( ? [U_6300,U_6299,U_6298] :
          ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6307,U_6304,U_6299),throw_list_char(U_6298)),U_6301))
          & hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6307,U_6306,U_6303),hAPP_v834067052t_char(val_list_char,U_6300)),U_6299))
          & U_6302 = throw_list_char(U_6298) )
      | ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6307,U_6306,U_6303),throw_list_char(sK969(U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301))),U_6301))
        & U_6302 = throw_list_char(sK969(U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301)) )
      | ( binop(hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_6305),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,sK965(U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301)),sK967(U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301)))) = hAPP_val_option_val(some_val,sK968(U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301))
        & hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6307,U_6304,sK966(U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301)),hAPP_v834067052t_char(val_list_char,sK967(U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301))),U_6301))
        & hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6307,U_6306,U_6303),hAPP_v834067052t_char(val_list_char,sK965(U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301))),sK966(U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301)))
        & U_6302 = hAPP_v834067052t_char(val_list_char,sK968(U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301)) )
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6307,binOp_list_char(U_6306,U_6305,U_6304),U_6303),U_6302),U_6301)) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK969]),skolemize(U_6297,sK969(U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301))],[f_1147_6]) ).

fof(f_1147_8,plain,
    ! [U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301] :
      ( ? [U_6299,U_6298] :
          ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6307,U_6304,U_6299),throw_list_char(U_6298)),U_6301))
          & hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6307,U_6306,U_6303),hAPP_v834067052t_char(val_list_char,sK970(U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301))),U_6299))
          & U_6302 = throw_list_char(U_6298) )
      | ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6307,U_6306,U_6303),throw_list_char(sK969(U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301))),U_6301))
        & U_6302 = throw_list_char(sK969(U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301)) )
      | ( binop(hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_6305),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,sK965(U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301)),sK967(U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301)))) = hAPP_val_option_val(some_val,sK968(U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301))
        & hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6307,U_6304,sK966(U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301)),hAPP_v834067052t_char(val_list_char,sK967(U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301))),U_6301))
        & hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6307,U_6306,U_6303),hAPP_v834067052t_char(val_list_char,sK965(U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301))),sK966(U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301)))
        & U_6302 = hAPP_v834067052t_char(val_list_char,sK968(U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301)) )
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6307,binOp_list_char(U_6306,U_6305,U_6304),U_6303),U_6302),U_6301)) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK970]),skolemize(U_6300,sK970(U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301))],[f_1147_7]) ).

fof(f_1147_9,plain,
    ! [U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301] :
      ( ? [U_6298] :
          ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6307,U_6304,sK971(U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301)),throw_list_char(U_6298)),U_6301))
          & hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6307,U_6306,U_6303),hAPP_v834067052t_char(val_list_char,sK970(U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301))),sK971(U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301)))
          & U_6302 = throw_list_char(U_6298) )
      | ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6307,U_6306,U_6303),throw_list_char(sK969(U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301))),U_6301))
        & U_6302 = throw_list_char(sK969(U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301)) )
      | ( binop(hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_6305),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,sK965(U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301)),sK967(U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301)))) = hAPP_val_option_val(some_val,sK968(U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301))
        & hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6307,U_6304,sK966(U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301)),hAPP_v834067052t_char(val_list_char,sK967(U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301))),U_6301))
        & hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6307,U_6306,U_6303),hAPP_v834067052t_char(val_list_char,sK965(U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301))),sK966(U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301)))
        & U_6302 = hAPP_v834067052t_char(val_list_char,sK968(U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301)) )
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6307,binOp_list_char(U_6306,U_6305,U_6304),U_6303),U_6302),U_6301)) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK971]),skolemize(U_6299,sK971(U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301))],[f_1147_8]) ).

fof(f_1147_10,plain,
    ! [U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301] :
      ( ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6307,U_6304,sK971(U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301)),throw_list_char(sK972(U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301))),U_6301))
        & hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6307,U_6306,U_6303),hAPP_v834067052t_char(val_list_char,sK970(U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301))),sK971(U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301)))
        & U_6302 = throw_list_char(sK972(U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301)) )
      | ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6307,U_6306,U_6303),throw_list_char(sK969(U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301))),U_6301))
        & U_6302 = throw_list_char(sK969(U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301)) )
      | ( binop(hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_6305),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,sK965(U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301)),sK967(U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301)))) = hAPP_val_option_val(some_val,sK968(U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301))
        & hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6307,U_6304,sK966(U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301)),hAPP_v834067052t_char(val_list_char,sK967(U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301))),U_6301))
        & hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6307,U_6306,U_6303),hAPP_v834067052t_char(val_list_char,sK965(U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301))),sK966(U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301)))
        & U_6302 = hAPP_v834067052t_char(val_list_char,sK968(U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301)) )
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6307,binOp_list_char(U_6306,U_6305,U_6304),U_6303),U_6302),U_6301)) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK972]),skolemize(U_6298,sK972(U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301))],[f_1147_9]) ).

cnf(f_1147_11,plain,
    ( U_6302 = throw_list_char(sK972(U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301))
    | U_6302 = throw_list_char(sK969(U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301))
    | U_6302 = hAPP_v834067052t_char(val_list_char,sK968(U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6307,binOp_list_char(U_6306,U_6305,U_6304),U_6303),U_6302),U_6301)) ),
    inference(clausify,[status(thm)],[f_1147_10]) ).

cnf(f_1147_12,plain,
    ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6307,U_6306,U_6303),hAPP_v834067052t_char(val_list_char,sK970(U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301))),sK971(U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301)))
    | U_6302 = throw_list_char(sK969(U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301))
    | U_6302 = hAPP_v834067052t_char(val_list_char,sK968(U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6307,binOp_list_char(U_6306,U_6305,U_6304),U_6303),U_6302),U_6301)) ),
    inference(clausify,[status(thm)],[f_1147_10]) ).

cnf(f_1147_13,plain,
    ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6307,U_6304,sK971(U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301)),throw_list_char(sK972(U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301))),U_6301))
    | U_6302 = throw_list_char(sK969(U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301))
    | U_6302 = hAPP_v834067052t_char(val_list_char,sK968(U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6307,binOp_list_char(U_6306,U_6305,U_6304),U_6303),U_6302),U_6301)) ),
    inference(clausify,[status(thm)],[f_1147_10]) ).

cnf(f_1147_14,plain,
    ( U_6302 = throw_list_char(sK972(U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301))
    | hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6307,U_6306,U_6303),throw_list_char(sK969(U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301))),U_6301))
    | U_6302 = hAPP_v834067052t_char(val_list_char,sK968(U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6307,binOp_list_char(U_6306,U_6305,U_6304),U_6303),U_6302),U_6301)) ),
    inference(clausify,[status(thm)],[f_1147_10]) ).

cnf(f_1147_15,plain,
    ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6307,U_6306,U_6303),hAPP_v834067052t_char(val_list_char,sK970(U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301))),sK971(U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301)))
    | hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6307,U_6306,U_6303),throw_list_char(sK969(U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301))),U_6301))
    | U_6302 = hAPP_v834067052t_char(val_list_char,sK968(U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6307,binOp_list_char(U_6306,U_6305,U_6304),U_6303),U_6302),U_6301)) ),
    inference(clausify,[status(thm)],[f_1147_10]) ).

cnf(f_1147_16,plain,
    ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6307,U_6304,sK971(U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301)),throw_list_char(sK972(U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301))),U_6301))
    | hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6307,U_6306,U_6303),throw_list_char(sK969(U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301))),U_6301))
    | U_6302 = hAPP_v834067052t_char(val_list_char,sK968(U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6307,binOp_list_char(U_6306,U_6305,U_6304),U_6303),U_6302),U_6301)) ),
    inference(clausify,[status(thm)],[f_1147_10]) ).

cnf(f_1147_17,plain,
    ( U_6302 = throw_list_char(sK972(U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301))
    | U_6302 = throw_list_char(sK969(U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301))
    | hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6307,U_6306,U_6303),hAPP_v834067052t_char(val_list_char,sK965(U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301))),sK966(U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301)))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6307,binOp_list_char(U_6306,U_6305,U_6304),U_6303),U_6302),U_6301)) ),
    inference(clausify,[status(thm)],[f_1147_10]) ).

cnf(f_1147_18,plain,
    ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6307,U_6306,U_6303),hAPP_v834067052t_char(val_list_char,sK970(U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301))),sK971(U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301)))
    | U_6302 = throw_list_char(sK969(U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301))
    | hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6307,U_6306,U_6303),hAPP_v834067052t_char(val_list_char,sK965(U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301))),sK966(U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301)))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6307,binOp_list_char(U_6306,U_6305,U_6304),U_6303),U_6302),U_6301)) ),
    inference(clausify,[status(thm)],[f_1147_10]) ).

cnf(f_1147_19,plain,
    ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6307,U_6304,sK971(U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301)),throw_list_char(sK972(U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301))),U_6301))
    | U_6302 = throw_list_char(sK969(U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301))
    | hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6307,U_6306,U_6303),hAPP_v834067052t_char(val_list_char,sK965(U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301))),sK966(U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301)))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6307,binOp_list_char(U_6306,U_6305,U_6304),U_6303),U_6302),U_6301)) ),
    inference(clausify,[status(thm)],[f_1147_10]) ).

cnf(f_1147_20,plain,
    ( U_6302 = throw_list_char(sK972(U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301))
    | hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6307,U_6306,U_6303),throw_list_char(sK969(U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301))),U_6301))
    | hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6307,U_6306,U_6303),hAPP_v834067052t_char(val_list_char,sK965(U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301))),sK966(U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301)))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6307,binOp_list_char(U_6306,U_6305,U_6304),U_6303),U_6302),U_6301)) ),
    inference(clausify,[status(thm)],[f_1147_10]) ).

cnf(f_1147_21,plain,
    ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6307,U_6306,U_6303),hAPP_v834067052t_char(val_list_char,sK970(U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301))),sK971(U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301)))
    | hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6307,U_6306,U_6303),throw_list_char(sK969(U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301))),U_6301))
    | hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6307,U_6306,U_6303),hAPP_v834067052t_char(val_list_char,sK965(U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301))),sK966(U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301)))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6307,binOp_list_char(U_6306,U_6305,U_6304),U_6303),U_6302),U_6301)) ),
    inference(clausify,[status(thm)],[f_1147_10]) ).

cnf(f_1147_22,plain,
    ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6307,U_6304,sK971(U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301)),throw_list_char(sK972(U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301))),U_6301))
    | hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6307,U_6306,U_6303),throw_list_char(sK969(U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301))),U_6301))
    | hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6307,U_6306,U_6303),hAPP_v834067052t_char(val_list_char,sK965(U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301))),sK966(U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301)))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6307,binOp_list_char(U_6306,U_6305,U_6304),U_6303),U_6302),U_6301)) ),
    inference(clausify,[status(thm)],[f_1147_10]) ).

cnf(f_1147_23,plain,
    ( U_6302 = throw_list_char(sK972(U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301))
    | U_6302 = throw_list_char(sK969(U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301))
    | hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6307,U_6304,sK966(U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301)),hAPP_v834067052t_char(val_list_char,sK967(U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301))),U_6301))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6307,binOp_list_char(U_6306,U_6305,U_6304),U_6303),U_6302),U_6301)) ),
    inference(clausify,[status(thm)],[f_1147_10]) ).

cnf(f_1147_24,plain,
    ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6307,U_6306,U_6303),hAPP_v834067052t_char(val_list_char,sK970(U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301))),sK971(U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301)))
    | U_6302 = throw_list_char(sK969(U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301))
    | hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6307,U_6304,sK966(U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301)),hAPP_v834067052t_char(val_list_char,sK967(U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301))),U_6301))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6307,binOp_list_char(U_6306,U_6305,U_6304),U_6303),U_6302),U_6301)) ),
    inference(clausify,[status(thm)],[f_1147_10]) ).

cnf(f_1147_25,plain,
    ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6307,U_6304,sK971(U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301)),throw_list_char(sK972(U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301))),U_6301))
    | U_6302 = throw_list_char(sK969(U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301))
    | hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6307,U_6304,sK966(U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301)),hAPP_v834067052t_char(val_list_char,sK967(U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301))),U_6301))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6307,binOp_list_char(U_6306,U_6305,U_6304),U_6303),U_6302),U_6301)) ),
    inference(clausify,[status(thm)],[f_1147_10]) ).

cnf(f_1147_26,plain,
    ( U_6302 = throw_list_char(sK972(U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301))
    | hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6307,U_6306,U_6303),throw_list_char(sK969(U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301))),U_6301))
    | hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6307,U_6304,sK966(U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301)),hAPP_v834067052t_char(val_list_char,sK967(U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301))),U_6301))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6307,binOp_list_char(U_6306,U_6305,U_6304),U_6303),U_6302),U_6301)) ),
    inference(clausify,[status(thm)],[f_1147_10]) ).

cnf(f_1147_27,plain,
    ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6307,U_6306,U_6303),hAPP_v834067052t_char(val_list_char,sK970(U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301))),sK971(U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301)))
    | hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6307,U_6306,U_6303),throw_list_char(sK969(U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301))),U_6301))
    | hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6307,U_6304,sK966(U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301)),hAPP_v834067052t_char(val_list_char,sK967(U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301))),U_6301))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6307,binOp_list_char(U_6306,U_6305,U_6304),U_6303),U_6302),U_6301)) ),
    inference(clausify,[status(thm)],[f_1147_10]) ).

cnf(f_1147_28,plain,
    ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6307,U_6304,sK971(U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301)),throw_list_char(sK972(U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301))),U_6301))
    | hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6307,U_6306,U_6303),throw_list_char(sK969(U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301))),U_6301))
    | hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6307,U_6304,sK966(U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301)),hAPP_v834067052t_char(val_list_char,sK967(U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301))),U_6301))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6307,binOp_list_char(U_6306,U_6305,U_6304),U_6303),U_6302),U_6301)) ),
    inference(clausify,[status(thm)],[f_1147_10]) ).

cnf(f_1147_29,plain,
    ( U_6302 = throw_list_char(sK972(U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301))
    | U_6302 = throw_list_char(sK969(U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301))
    | binop(hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_6305),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,sK965(U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301)),sK967(U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301)))) = hAPP_val_option_val(some_val,sK968(U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6307,binOp_list_char(U_6306,U_6305,U_6304),U_6303),U_6302),U_6301)) ),
    inference(clausify,[status(thm)],[f_1147_10]) ).

cnf(f_1147_30,plain,
    ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6307,U_6306,U_6303),hAPP_v834067052t_char(val_list_char,sK970(U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301))),sK971(U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301)))
    | U_6302 = throw_list_char(sK969(U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301))
    | binop(hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_6305),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,sK965(U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301)),sK967(U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301)))) = hAPP_val_option_val(some_val,sK968(U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6307,binOp_list_char(U_6306,U_6305,U_6304),U_6303),U_6302),U_6301)) ),
    inference(clausify,[status(thm)],[f_1147_10]) ).

cnf(f_1147_31,plain,
    ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6307,U_6304,sK971(U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301)),throw_list_char(sK972(U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301))),U_6301))
    | U_6302 = throw_list_char(sK969(U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301))
    | binop(hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_6305),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,sK965(U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301)),sK967(U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301)))) = hAPP_val_option_val(some_val,sK968(U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6307,binOp_list_char(U_6306,U_6305,U_6304),U_6303),U_6302),U_6301)) ),
    inference(clausify,[status(thm)],[f_1147_10]) ).

cnf(f_1147_32,plain,
    ( U_6302 = throw_list_char(sK972(U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301))
    | hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6307,U_6306,U_6303),throw_list_char(sK969(U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301))),U_6301))
    | binop(hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_6305),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,sK965(U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301)),sK967(U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301)))) = hAPP_val_option_val(some_val,sK968(U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6307,binOp_list_char(U_6306,U_6305,U_6304),U_6303),U_6302),U_6301)) ),
    inference(clausify,[status(thm)],[f_1147_10]) ).

cnf(f_1147_33,plain,
    ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6307,U_6306,U_6303),hAPP_v834067052t_char(val_list_char,sK970(U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301))),sK971(U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301)))
    | hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6307,U_6306,U_6303),throw_list_char(sK969(U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301))),U_6301))
    | binop(hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_6305),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,sK965(U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301)),sK967(U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301)))) = hAPP_val_option_val(some_val,sK968(U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6307,binOp_list_char(U_6306,U_6305,U_6304),U_6303),U_6302),U_6301)) ),
    inference(clausify,[status(thm)],[f_1147_10]) ).

cnf(f_1147_34,plain,
    ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6307,U_6304,sK971(U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301)),throw_list_char(sK972(U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301))),U_6301))
    | hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6307,U_6306,U_6303),throw_list_char(sK969(U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301))),U_6301))
    | binop(hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,U_6305),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,sK965(U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301)),sK967(U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301)))) = hAPP_val_option_val(some_val,sK968(U_6307,U_6306,U_6305,U_6304,U_6303,U_6302,U_6301))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6307,binOp_list_char(U_6306,U_6305,U_6304),U_6303),U_6302),U_6301)) ),
    inference(clausify,[status(thm)],[f_1147_10]) ).

fof(f_1148_1,plain,
    ! [V_1_3] : binop(hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,add),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,V_1_3),unit))) = none_val,
    inference(fof_nnf,[status(thm)],[fact_1006_binop_Osimps_I7_J]) ).

fof(f_1148_2,plain,
    ! [U_6308] : binop(hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,add),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_6308),unit))) = none_val,
    inference(variable_rename,[status(thm)],[f_1148_1]) ).

cnf(f_1148_3,plain,
    binop(hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,add),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_6308),unit))) = none_val,
    inference(clausify,[status(thm)],[f_1148_2]) ).

fof(f_1149_1,plain,
    ! [V_2_2] : binop(hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,add),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,unit),V_2_2))) = none_val,
    inference(fof_nnf,[status(thm)],[fact_1007_binop_Osimps_I3_J]) ).

fof(f_1149_2,plain,
    ! [U_6309] : binop(hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,add),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,unit),U_6309))) = none_val,
    inference(variable_rename,[status(thm)],[f_1149_1]) ).

cnf(f_1149_3,plain,
    binop(hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,add),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,unit),U_6309))) = none_val,
    inference(clausify,[status(thm)],[f_1149_2]) ).

fof(f_1150_1,plain,
    ! [Hb] :
      ( hAPP_val_option_ty(typeof_h(Hb),addr(addr_of_sys_xcpt(classCast))) = hAPP_ty_option_ty(some_ty,hAPP_list_char_ty(class,classCast))
      | ~ hBOOL(preallocated(Hb)) ),
    inference(fof_nnf,[status(thm)],[fact_1008_typeof__ClassCast]) ).

fof(f_1150_2,plain,
    ! [U_6310] :
      ( hAPP_val_option_ty(typeof_h(U_6310),addr(addr_of_sys_xcpt(classCast))) = hAPP_ty_option_ty(some_ty,hAPP_list_char_ty(class,classCast))
      | ~ hBOOL(preallocated(U_6310)) ),
    inference(variable_rename,[status(thm)],[f_1150_1]) ).

cnf(f_1150_3,plain,
    ( hAPP_val_option_ty(typeof_h(U_6310),addr(addr_of_sys_xcpt(classCast))) = hAPP_ty_option_ty(some_ty,hAPP_list_char_ty(class,classCast))
    | ~ hBOOL(preallocated(U_6310)) ),
    inference(clausify,[status(thm)],[f_1150_2]) ).

fof(f_1151_1,plain,
    ! [Pa,Ea,Hb,Va,Ta] :
      ( hBOOL(wTrt_1(Pa,Hb,Ea,hAPP_v834067052t_char(val_list_char,Va),Ta))
      | hAPP_val_option_ty(typeof_h(Hb),Va) != hAPP_ty_option_ty(some_ty,Ta) ),
    inference(fof_nnf,[status(thm)],[fact_1009_WTrtVal]) ).

fof(f_1151_2,plain,
    ! [U_6315,U_6314,U_6313,U_6312,U_6311] :
      ( hBOOL(wTrt_1(U_6315,U_6313,U_6314,hAPP_v834067052t_char(val_list_char,U_6312),U_6311))
      | hAPP_val_option_ty(typeof_h(U_6313),U_6312) != hAPP_ty_option_ty(some_ty,U_6311) ),
    inference(variable_rename,[status(thm)],[f_1151_1]) ).

cnf(f_1151_3,plain,
    ( hBOOL(wTrt_1(U_6315,U_6313,U_6314,hAPP_v834067052t_char(val_list_char,U_6312),U_6311))
    | hAPP_val_option_ty(typeof_h(U_6313),U_6312) != hAPP_ty_option_ty(some_ty,U_6311) ),
    inference(clausify,[status(thm)],[f_1151_2]) ).

fof(f_1152_1,plain,
    ! [Va,Ta,Hb,H_b] :
      ( hAPP_val_option_ty(typeof_h(H_b),Va) = hAPP_ty_option_ty(some_ty,Ta)
      | hAPP_val_option_ty(typeof_h(Hb),Va) != hAPP_ty_option_ty(some_ty,Ta)
      | ~ hBOOL(hext(Hb,H_b)) ),
    inference(fof_nnf,[status(thm)],[fact_1010_hext__typeof__mono]) ).

fof(f_1152_2,plain,
    ! [U_6319,U_6318,U_6317,U_6316] :
      ( hAPP_val_option_ty(typeof_h(U_6316),U_6319) = hAPP_ty_option_ty(some_ty,U_6318)
      | hAPP_val_option_ty(typeof_h(U_6317),U_6319) != hAPP_ty_option_ty(some_ty,U_6318)
      | ~ hBOOL(hext(U_6317,U_6316)) ),
    inference(variable_rename,[status(thm)],[f_1152_1]) ).

cnf(f_1152_3,plain,
    ( hAPP_val_option_ty(typeof_h(U_6316),U_6319) = hAPP_ty_option_ty(some_ty,U_6318)
    | hAPP_val_option_ty(typeof_h(U_6317),U_6319) != hAPP_ty_option_ty(some_ty,U_6318)
    | ~ hBOOL(hext(U_6317,U_6316)) ),
    inference(clausify,[status(thm)],[f_1152_2]) ).

fof(f_1153_1,plain,
    ! [Hb,Va,Ta] :
      ( hAPP_val_option_ty(typeof_h(Hb),Va) = hAPP_ty_option_ty(some_ty,Ta)
      | hAPP_val_option_ty(typeof_h(hAPP_o1576581476on_val(cOMBK_1944287343al_nat,none_P179726773on_val)),Va) != hAPP_ty_option_ty(some_ty,Ta) ),
    inference(fof_nnf,[status(thm)],[fact_1011_typeof__lit__typeof]) ).

fof(f_1153_2,plain,
    ! [U_6322,U_6321,U_6320] :
      ( hAPP_val_option_ty(typeof_h(U_6322),U_6321) = hAPP_ty_option_ty(some_ty,U_6320)
      | hAPP_val_option_ty(typeof_h(hAPP_o1576581476on_val(cOMBK_1944287343al_nat,none_P179726773on_val)),U_6321) != hAPP_ty_option_ty(some_ty,U_6320) ),
    inference(variable_rename,[status(thm)],[f_1153_1]) ).

cnf(f_1153_3,plain,
    ( hAPP_val_option_ty(typeof_h(U_6322),U_6321) = hAPP_ty_option_ty(some_ty,U_6320)
    | hAPP_val_option_ty(typeof_h(hAPP_o1576581476on_val(cOMBK_1944287343al_nat,none_P179726773on_val)),U_6321) != hAPP_ty_option_ty(some_ty,U_6320) ),
    inference(clausify,[status(thm)],[f_1153_2]) ).

fof(f_1154_1,plain,
    ! [Hb] : hAPP_val_option_ty(typeof_h(Hb),unit) = hAPP_ty_option_ty(some_ty,void),
    inference(fof_nnf,[status(thm)],[fact_1012_typeof__h_Osimps_I1_J]) ).

fof(f_1154_2,plain,
    ! [U_6323] : hAPP_val_option_ty(typeof_h(U_6323),unit) = hAPP_ty_option_ty(some_ty,void),
    inference(variable_rename,[status(thm)],[f_1154_1]) ).

cnf(f_1154_3,plain,
    hAPP_val_option_ty(typeof_h(U_6323),unit) = hAPP_ty_option_ty(some_ty,void),
    inference(clausify,[status(thm)],[f_1154_2]) ).

fof(f_1155_1,plain,
    ! [V,V_2_2] : binop(hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,add),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,addr(V)),V_2_2))) = none_val,
    inference(fof_nnf,[status(thm)],[fact_1013_binop_Osimps_I6_J]) ).

fof(f_1155_2,plain,
    ! [U_6325,U_6324] : binop(hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,add),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,addr(U_6325)),U_6324))) = none_val,
    inference(variable_rename,[status(thm)],[f_1155_1]) ).

cnf(f_1155_3,plain,
    binop(hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,add),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,addr(U_6325)),U_6324))) = none_val,
    inference(clausify,[status(thm)],[f_1155_2]) ).

fof(f_1156_1,plain,
    ! [V_1_3,V] : binop(hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,add),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,V_1_3),addr(V)))) = none_val,
    inference(fof_nnf,[status(thm)],[fact_1014_binop_Osimps_I10_J]) ).

fof(f_1156_2,plain,
    ! [U_6327,U_6326] : binop(hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,add),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_6327),addr(U_6326)))) = none_val,
    inference(variable_rename,[status(thm)],[f_1156_1]) ).

cnf(f_1156_3,plain,
    binop(hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,add),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_6327),addr(U_6326)))) = none_val,
    inference(clausify,[status(thm)],[f_1156_2]) ).

fof(f_1157_1,plain,
    ! [Hb] :
      ( hAPP_val_option_ty(typeof_h(Hb),addr(addr_of_sys_xcpt(outOfMemory))) = hAPP_ty_option_ty(some_ty,hAPP_list_char_ty(class,outOfMemory))
      | ~ hBOOL(preallocated(Hb)) ),
    inference(fof_nnf,[status(thm)],[fact_1015_typeof__OutOfMemory]) ).

fof(f_1157_2,plain,
    ! [U_6328] :
      ( hAPP_val_option_ty(typeof_h(U_6328),addr(addr_of_sys_xcpt(outOfMemory))) = hAPP_ty_option_ty(some_ty,hAPP_list_char_ty(class,outOfMemory))
      | ~ hBOOL(preallocated(U_6328)) ),
    inference(variable_rename,[status(thm)],[f_1157_1]) ).

cnf(f_1157_3,plain,
    ( hAPP_val_option_ty(typeof_h(U_6328),addr(addr_of_sys_xcpt(outOfMemory))) = hAPP_ty_option_ty(some_ty,hAPP_list_char_ty(class,outOfMemory))
    | ~ hBOOL(preallocated(U_6328)) ),
    inference(clausify,[status(thm)],[f_1157_2]) ).

fof(f_1158_1,plain,
    ! [Hb] :
      ( hAPP_val_option_ty(typeof_h(Hb),addr(addr_of_sys_xcpt(nullPointer))) = hAPP_ty_option_ty(some_ty,hAPP_list_char_ty(class,nullPointer))
      | ~ hBOOL(preallocated(Hb)) ),
    inference(fof_nnf,[status(thm)],[fact_1016_typeof__NullPointer]) ).

fof(f_1158_2,plain,
    ! [U_6329] :
      ( hAPP_val_option_ty(typeof_h(U_6329),addr(addr_of_sys_xcpt(nullPointer))) = hAPP_ty_option_ty(some_ty,hAPP_list_char_ty(class,nullPointer))
      | ~ hBOOL(preallocated(U_6329)) ),
    inference(variable_rename,[status(thm)],[f_1158_1]) ).

cnf(f_1158_3,plain,
    ( hAPP_val_option_ty(typeof_h(U_6329),addr(addr_of_sys_xcpt(nullPointer))) = hAPP_ty_option_ty(some_ty,hAPP_list_char_ty(class,nullPointer))
    | ~ hBOOL(preallocated(U_6329)) ),
    inference(clausify,[status(thm)],[f_1158_2]) ).

fof(f_1159_1,plain,
    ! [Hb,A] : hAPP_val_option_ty(typeof_h(Hb),addr(A)) = option1388193227on_val(none_ty,hAPP_f46308763ion_ty(produc907433735ion_ty,hAPP_f451501457ion_ty(hAPP_f509342689ion_ty(cOMBB_352765746t_char,cOMBK_184479553on_val),hAPP_f359949478ion_ty(hAPP_f1243585741ion_ty(cOMBB_1888336841t_char,some_ty),class))),hAPP_n546249108on_val(Hb,A)),
    inference(fof_nnf,[status(thm)],[fact_1017_typeof__h_Osimps_I5_J]) ).

fof(f_1159_2,plain,
    ! [U_6331,U_6330] : hAPP_val_option_ty(typeof_h(U_6331),addr(U_6330)) = option1388193227on_val(none_ty,hAPP_f46308763ion_ty(produc907433735ion_ty,hAPP_f451501457ion_ty(hAPP_f509342689ion_ty(cOMBB_352765746t_char,cOMBK_184479553on_val),hAPP_f359949478ion_ty(hAPP_f1243585741ion_ty(cOMBB_1888336841t_char,some_ty),class))),hAPP_n546249108on_val(U_6331,U_6330)),
    inference(variable_rename,[status(thm)],[f_1159_1]) ).

cnf(f_1159_3,plain,
    hAPP_val_option_ty(typeof_h(U_6331),addr(U_6330)) = option1388193227on_val(none_ty,hAPP_f46308763ion_ty(produc907433735ion_ty,hAPP_f451501457ion_ty(hAPP_f509342689ion_ty(cOMBB_352765746t_char,cOMBK_184479553on_val),hAPP_f359949478ion_ty(hAPP_f1243585741ion_ty(cOMBB_1888336841t_char,some_ty),class))),hAPP_n546249108on_val(U_6331,U_6330)),
    inference(clausify,[status(thm)],[f_1159_2]) ).

fof(f_1160_1,plain,
    ! [Ea,Va_1,E_2,T_2_2,Pa,Ta,Hb,Va,T_1_1] :
      ( hBOOL(wTrt(Pa,Hb,Ea,block_list_char(Va_1,Ta,seq_list_char(lAss_list_char(Va_1,hAPP_v834067052t_char(val_list_char,Va)),E_2)),T_2_2))
      | ~ hBOOL(wTrt(Pa,Hb,fun_up424764369ion_ty(Ea,Va_1,hAPP_ty_option_ty(some_ty,Ta)),E_2,T_2_2))
      | ~ hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(Pa),T_1_1),Ta))
      | hAPP_val_option_ty(typeof_h(Hb),Va) != hAPP_ty_option_ty(some_ty,T_1_1) ),
    inference(fof_nnf,[status(thm)],[fact_1018_WTrt_H__WTrts_H_Ointros_I16_J]) ).

fof(f_1160_2,plain,
    ! [U_6340,U_6339,U_6338,U_6337,U_6336,U_6335,U_6334,U_6333,U_6332] :
      ( hBOOL(wTrt(U_6336,U_6334,U_6340,block_list_char(U_6339,U_6335,seq_list_char(lAss_list_char(U_6339,hAPP_v834067052t_char(val_list_char,U_6333)),U_6338)),U_6337))
      | ~ hBOOL(wTrt(U_6336,U_6334,fun_up424764369ion_ty(U_6340,U_6339,hAPP_ty_option_ty(some_ty,U_6335)),U_6338,U_6337))
      | ~ hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(U_6336),U_6332),U_6335))
      | hAPP_val_option_ty(typeof_h(U_6334),U_6333) != hAPP_ty_option_ty(some_ty,U_6332) ),
    inference(variable_rename,[status(thm)],[f_1160_1]) ).

cnf(f_1160_3,plain,
    ( hBOOL(wTrt(U_6336,U_6334,U_6340,block_list_char(U_6339,U_6335,seq_list_char(lAss_list_char(U_6339,hAPP_v834067052t_char(val_list_char,U_6333)),U_6338)),U_6337))
    | ~ hBOOL(wTrt(U_6336,U_6334,fun_up424764369ion_ty(U_6340,U_6339,hAPP_ty_option_ty(some_ty,U_6335)),U_6338,U_6337))
    | ~ hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(U_6336),U_6332),U_6335))
    | hAPP_val_option_ty(typeof_h(U_6334),U_6333) != hAPP_ty_option_ty(some_ty,U_6332) ),
    inference(clausify,[status(thm)],[f_1160_2]) ).

fof(f_1161_1,plain,
    ! [Pa,Ea,Hb,Va,Ta] :
      ( hBOOL(wTrt(Pa,Hb,Ea,hAPP_v834067052t_char(val_list_char,Va),Ta))
      | hAPP_val_option_ty(typeof_h(Hb),Va) != hAPP_ty_option_ty(some_ty,Ta) ),
    inference(fof_nnf,[status(thm)],[fact_1019_WTrt_H__WTrts_H_Ointros_I3_J]) ).

fof(f_1161_2,plain,
    ! [U_6345,U_6344,U_6343,U_6342,U_6341] :
      ( hBOOL(wTrt(U_6345,U_6343,U_6344,hAPP_v834067052t_char(val_list_char,U_6342),U_6341))
      | hAPP_val_option_ty(typeof_h(U_6343),U_6342) != hAPP_ty_option_ty(some_ty,U_6341) ),
    inference(variable_rename,[status(thm)],[f_1161_1]) ).

cnf(f_1161_3,plain,
    ( hBOOL(wTrt(U_6345,U_6343,U_6344,hAPP_v834067052t_char(val_list_char,U_6342),U_6341))
    | hAPP_val_option_ty(typeof_h(U_6343),U_6342) != hAPP_ty_option_ty(some_ty,U_6341) ),
    inference(clausify,[status(thm)],[f_1161_2]) ).

fof(f_1162_1,plain,
    ! [E_2,T_2_2,Pa,Hb,Ea,E_1_1,T_1_1] :
      ( hBOOL(wTrt(Pa,Hb,Ea,seq_list_char(E_1_1,E_2),T_2_2))
      | ~ hBOOL(wTrt(Pa,Hb,Ea,E_2,T_2_2))
      | ~ hBOOL(wTrt(Pa,Hb,Ea,E_1_1,T_1_1)) ),
    inference(fof_nnf,[status(thm)],[fact_1020_WTrt_H__WTrts_H_Ointros_I18_J]) ).

fof(f_1162_2,plain,
    ! [U_6352,U_6351,U_6350,U_6349,U_6348,U_6347,U_6346] :
      ( hBOOL(wTrt(U_6350,U_6349,U_6348,seq_list_char(U_6347,U_6352),U_6351))
      | ~ hBOOL(wTrt(U_6350,U_6349,U_6348,U_6352,U_6351))
      | ~ hBOOL(wTrt(U_6350,U_6349,U_6348,U_6347,U_6346)) ),
    inference(variable_rename,[status(thm)],[f_1162_1]) ).

fof(f_1162_3,plain,
    ! [U_6352,U_6351,U_6350,U_6349,U_6348,U_6347] :
      ( ! [U_6346] : ~ hBOOL(wTrt(U_6350,U_6349,U_6348,U_6347,U_6346))
      | hBOOL(wTrt(U_6350,U_6349,U_6348,seq_list_char(U_6347,U_6352),U_6351))
      | ~ hBOOL(wTrt(U_6350,U_6349,U_6348,U_6352,U_6351)) ),
    inference(miniscope,[status(thm)],[f_1162_2]) ).

cnf(f_1162_4,plain,
    ( ~ hBOOL(wTrt(U_6350,U_6349,U_6348,U_6347,U_6346))
    | hBOOL(wTrt(U_6350,U_6349,U_6348,seq_list_char(U_6347,U_6352),U_6351))
    | ~ hBOOL(wTrt(U_6350,U_6349,U_6348,U_6352,U_6351)) ),
    inference(clausify,[status(thm)],[f_1162_3]) ).

fof(f_1163_1,plain,
    ! [Pa,Hb,Ea,Eb,Ta] :
      ( hBOOL(wTrt(Pa,Hb,Ea,Eb,Ta))
      | ~ hBOOL(wTrt_1(Pa,Hb,Ea,Eb,Ta)) ),
    inference(fof_nnf,[status(thm)],[fact_1021_wt__wt_H]) ).

fof(f_1163_2,plain,
    ! [U_6357,U_6356,U_6355,U_6354,U_6353] :
      ( hBOOL(wTrt(U_6357,U_6356,U_6355,U_6354,U_6353))
      | ~ hBOOL(wTrt_1(U_6357,U_6356,U_6355,U_6354,U_6353)) ),
    inference(variable_rename,[status(thm)],[f_1163_1]) ).

cnf(f_1163_3,plain,
    ( hBOOL(wTrt(U_6357,U_6356,U_6355,U_6354,U_6353))
    | ~ hBOOL(wTrt_1(U_6357,U_6356,U_6355,U_6354,U_6353)) ),
    inference(clausify,[status(thm)],[f_1163_2]) ).

fof(f_1164_1,plain,
    ! [Pa,Hb,Ea,Eb,Ta] :
      ( hBOOL(wTrt_1(Pa,Hb,Ea,Eb,Ta))
      | ~ hBOOL(wTrt(Pa,Hb,Ea,Eb,Ta)) ),
    inference(fof_nnf,[status(thm)],[fact_1022_wt_H__wt]) ).

fof(f_1164_2,plain,
    ! [U_6362,U_6361,U_6360,U_6359,U_6358] :
      ( hBOOL(wTrt_1(U_6362,U_6361,U_6360,U_6359,U_6358))
      | ~ hBOOL(wTrt(U_6362,U_6361,U_6360,U_6359,U_6358)) ),
    inference(variable_rename,[status(thm)],[f_1164_1]) ).

cnf(f_1164_3,plain,
    ( hBOOL(wTrt_1(U_6362,U_6361,U_6360,U_6359,U_6358))
    | ~ hBOOL(wTrt(U_6362,U_6361,U_6360,U_6359,U_6358)) ),
    inference(clausify,[status(thm)],[f_1164_2]) ).

fof(f_1165_1,plain,
    ! [Pa,Hb,Ea,Eb,Ta] :
      ( ( hBOOL(wTrt(Pa,Hb,Ea,Eb,Ta))
        | ~ hBOOL(wTrt_1(Pa,Hb,Ea,Eb,Ta)) )
      & ( hBOOL(wTrt_1(Pa,Hb,Ea,Eb,Ta))
        | ~ hBOOL(wTrt(Pa,Hb,Ea,Eb,Ta)) ) ),
    inference(fof_nnf,[status(thm)],[fact_1023_wt_H__iff__wt]) ).

fof(f_1165_2,plain,
    ! [U_6367,U_6366,U_6365,U_6364,U_6363] :
      ( ( hBOOL(wTrt(U_6367,U_6366,U_6365,U_6364,U_6363))
        | ~ hBOOL(wTrt_1(U_6367,U_6366,U_6365,U_6364,U_6363)) )
      & ( hBOOL(wTrt_1(U_6367,U_6366,U_6365,U_6364,U_6363))
        | ~ hBOOL(wTrt(U_6367,U_6366,U_6365,U_6364,U_6363)) ) ),
    inference(variable_rename,[status(thm)],[f_1165_1]) ).

fof(f_1165_3,plain,
    ( ! [U_6377,U_6375,U_6373,U_6371,U_6369] :
        ( hBOOL(wTrt(U_6377,U_6375,U_6373,U_6371,U_6369))
        | ~ hBOOL(wTrt_1(U_6377,U_6375,U_6373,U_6371,U_6369)) )
    & ! [U_6376,U_6374,U_6372,U_6370,U_6368] :
        ( hBOOL(wTrt_1(U_6376,U_6374,U_6372,U_6370,U_6368))
        | ~ hBOOL(wTrt(U_6376,U_6374,U_6372,U_6370,U_6368)) ) ),
    inference(miniscope,[status(thm)],[f_1165_2]) ).

cnf(f_1165_4,plain,
    ( hBOOL(wTrt_1(U_6376,U_6374,U_6372,U_6370,U_6368))
    | ~ hBOOL(wTrt(U_6376,U_6374,U_6372,U_6370,U_6368)) ),
    inference(clausify,[status(thm)],[f_1165_3]) ).

cnf(f_1165_5,plain,
    ( hBOOL(wTrt(U_6377,U_6375,U_6373,U_6371,U_6369))
    | ~ hBOOL(wTrt_1(U_6377,U_6375,U_6373,U_6371,U_6369)) ),
    inference(clausify,[status(thm)],[f_1165_3]) ).

fof(f_1166_1,plain,
    ! [Ta,Pa,Hb,Ea,Eb,T_r] :
      ( hBOOL(wTrt(Pa,Hb,Ea,throw_list_char(Eb),Ta))
      | ~ hBOOL(is_refT(T_r))
      | ~ hBOOL(wTrt(Pa,Hb,Ea,Eb,T_r)) ),
    inference(fof_nnf,[status(thm)],[fact_1024_WTrt_H__WTrts_H_Ointros_I21_J]) ).

fof(f_1166_2,plain,
    ! [U_6383,U_6382,U_6381,U_6380,U_6379,U_6378] :
      ( hBOOL(wTrt(U_6382,U_6381,U_6380,throw_list_char(U_6379),U_6383))
      | ~ hBOOL(is_refT(U_6378))
      | ~ hBOOL(wTrt(U_6382,U_6381,U_6380,U_6379,U_6378)) ),
    inference(variable_rename,[status(thm)],[f_1166_1]) ).

cnf(f_1166_3,plain,
    ( hBOOL(wTrt(U_6382,U_6381,U_6380,throw_list_char(U_6379),U_6383))
    | ~ hBOOL(is_refT(U_6378))
    | ~ hBOOL(wTrt(U_6382,U_6381,U_6380,U_6379,U_6378)) ),
    inference(clausify,[status(thm)],[f_1166_2]) ).

fof(f_1167_1,plain,
    ! [F,Ta,D,Pa,Hb,Ea,Eb,C] :
      ( hBOOL(wTrt(Pa,Hb,Ea,fAcc_list_char(Eb,F,D),Ta))
      | ~ hBOOL(hAPP_list_char_bool(has_fi1183600461t_char(Pa,C,F,Ta),D))
      | ~ hBOOL(wTrt(Pa,Hb,Ea,Eb,hAPP_list_char_ty(class,C))) ),
    inference(fof_nnf,[status(thm)],[fact_1025_WTrt_H__WTrts_H_Ointros_I8_J]) ).

fof(f_1167_2,plain,
    ! [U_6391,U_6390,U_6389,U_6388,U_6387,U_6386,U_6385,U_6384] :
      ( hBOOL(wTrt(U_6388,U_6387,U_6386,fAcc_list_char(U_6385,U_6391,U_6389),U_6390))
      | ~ hBOOL(hAPP_list_char_bool(has_fi1183600461t_char(U_6388,U_6384,U_6391,U_6390),U_6389))
      | ~ hBOOL(wTrt(U_6388,U_6387,U_6386,U_6385,hAPP_list_char_ty(class,U_6384))) ),
    inference(variable_rename,[status(thm)],[f_1167_1]) ).

cnf(f_1167_3,plain,
    ( hBOOL(wTrt(U_6388,U_6387,U_6386,fAcc_list_char(U_6385,U_6391,U_6389),U_6390))
    | ~ hBOOL(hAPP_list_char_bool(has_fi1183600461t_char(U_6388,U_6384,U_6391,U_6390),U_6389))
    | ~ hBOOL(wTrt(U_6388,U_6387,U_6386,U_6385,hAPP_list_char_ty(class,U_6384))) ),
    inference(clausify,[status(thm)],[f_1167_2]) ).

fof(f_1168_1,plain,
    ! [Pa,Hb,Ea,Va_1,Ta,Eb,T_a] :
      ( hBOOL(wTrt(Pa,Hb,Ea,block_list_char(Va_1,Ta,Eb),T_a))
      | hBOOL(assigned(Va_1,Eb))
      | ~ hBOOL(wTrt(Pa,Hb,fun_up424764369ion_ty(Ea,Va_1,hAPP_ty_option_ty(some_ty,Ta)),Eb,T_a)) ),
    inference(fof_nnf,[status(thm)],[fact_1026_WTrt_H__WTrts_H_Ointros_I17_J]) ).

fof(f_1168_2,plain,
    ! [U_6398,U_6397,U_6396,U_6395,U_6394,U_6393,U_6392] :
      ( hBOOL(wTrt(U_6398,U_6397,U_6396,block_list_char(U_6395,U_6394,U_6393),U_6392))
      | hBOOL(assigned(U_6395,U_6393))
      | ~ hBOOL(wTrt(U_6398,U_6397,fun_up424764369ion_ty(U_6396,U_6395,hAPP_ty_option_ty(some_ty,U_6394)),U_6393,U_6392)) ),
    inference(variable_rename,[status(thm)],[f_1168_1]) ).

cnf(f_1168_3,plain,
    ( hBOOL(wTrt(U_6398,U_6397,U_6396,block_list_char(U_6395,U_6394,U_6393),U_6392))
    | hBOOL(assigned(U_6395,U_6393))
    | ~ hBOOL(wTrt(U_6398,U_6397,fun_up424764369ion_ty(U_6396,U_6395,hAPP_ty_option_ty(some_ty,U_6394)),U_6393,U_6392)) ),
    inference(clausify,[status(thm)],[f_1168_2]) ).

fof(f_1169_1,plain,
    ! [Va_1,C,E_2,T_2_2,Pa,Hb,Ea,E_1_1,T_1_1] :
      ( hBOOL(wTrt(Pa,Hb,Ea,tryCatch_list_char(E_1_1,C,Va_1,E_2),T_2_2))
      | ~ hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(Pa),T_1_1),T_2_2))
      | ~ hBOOL(wTrt(Pa,Hb,fun_up424764369ion_ty(Ea,Va_1,hAPP_ty_option_ty(some_ty,hAPP_list_char_ty(class,C))),E_2,T_2_2))
      | ~ hBOOL(wTrt(Pa,Hb,Ea,E_1_1,T_1_1)) ),
    inference(fof_nnf,[status(thm)],[fact_1027_WTrt_H__WTrts_H_Ointros_I22_J]) ).

fof(f_1169_2,plain,
    ! [U_6407,U_6406,U_6405,U_6404,U_6403,U_6402,U_6401,U_6400,U_6399] :
      ( hBOOL(wTrt(U_6403,U_6402,U_6401,tryCatch_list_char(U_6400,U_6406,U_6407,U_6405),U_6404))
      | ~ hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(U_6403),U_6399),U_6404))
      | ~ hBOOL(wTrt(U_6403,U_6402,fun_up424764369ion_ty(U_6401,U_6407,hAPP_ty_option_ty(some_ty,hAPP_list_char_ty(class,U_6406))),U_6405,U_6404))
      | ~ hBOOL(wTrt(U_6403,U_6402,U_6401,U_6400,U_6399)) ),
    inference(variable_rename,[status(thm)],[f_1169_1]) ).

cnf(f_1169_3,plain,
    ( hBOOL(wTrt(U_6403,U_6402,U_6401,tryCatch_list_char(U_6400,U_6406,U_6407,U_6405),U_6404))
    | ~ hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(U_6403),U_6399),U_6404))
    | ~ hBOOL(wTrt(U_6403,U_6402,fun_up424764369ion_ty(U_6401,U_6407,hAPP_ty_option_ty(some_ty,hAPP_list_char_ty(class,U_6406))),U_6405,U_6404))
    | ~ hBOOL(wTrt(U_6403,U_6402,U_6401,U_6400,U_6399)) ),
    inference(clausify,[status(thm)],[f_1169_2]) ).

fof(f_1170_1,plain,
    ! [E_2,T_2_2,F,Ta,D,Pa,Hb,Ea,E_1_1,C] :
      ( hBOOL(wTrt(Pa,Hb,Ea,fAss_list_char(E_1_1,F,D,E_2),void))
      | ~ hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(Pa),T_2_2),Ta))
      | ~ hBOOL(wTrt(Pa,Hb,Ea,E_2,T_2_2))
      | ~ hBOOL(hAPP_list_char_bool(has_fi1183600461t_char(Pa,C,F,Ta),D))
      | ~ hBOOL(wTrt(Pa,Hb,Ea,E_1_1,hAPP_list_char_ty(class,C))) ),
    inference(fof_nnf,[status(thm)],[fact_1028_WTrt_H__WTrts_H_Ointros_I10_J]) ).

fof(f_1170_2,plain,
    ! [U_6417,U_6416,U_6415,U_6414,U_6413,U_6412,U_6411,U_6410,U_6409,U_6408] :
      ( hBOOL(wTrt(U_6412,U_6411,U_6410,fAss_list_char(U_6409,U_6415,U_6413,U_6417),void))
      | ~ hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(U_6412),U_6416),U_6414))
      | ~ hBOOL(wTrt(U_6412,U_6411,U_6410,U_6417,U_6416))
      | ~ hBOOL(hAPP_list_char_bool(has_fi1183600461t_char(U_6412,U_6408,U_6415,U_6414),U_6413))
      | ~ hBOOL(wTrt(U_6412,U_6411,U_6410,U_6409,hAPP_list_char_ty(class,U_6408))) ),
    inference(variable_rename,[status(thm)],[f_1170_1]) ).

cnf(f_1170_3,plain,
    ( hBOOL(wTrt(U_6412,U_6411,U_6410,fAss_list_char(U_6409,U_6415,U_6413,U_6417),void))
    | ~ hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(U_6412),U_6416),U_6414))
    | ~ hBOOL(wTrt(U_6412,U_6411,U_6410,U_6417,U_6416))
    | ~ hBOOL(hAPP_list_char_bool(has_fi1183600461t_char(U_6412,U_6408,U_6415,U_6414),U_6413))
    | ~ hBOOL(wTrt(U_6412,U_6411,U_6410,U_6409,hAPP_list_char_ty(class,U_6408))) ),
    inference(clausify,[status(thm)],[f_1170_2]) ).

fof(f_1171_1,plain,
    ! [F,D,Eb,S,S_2,Pa] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAcc_list_char(Eb,F,D)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer))))),S_2))),transi2024712006on_val(red(Pa))))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,null)),S_2))),transi2024712006on_val(red(Pa)))) ),
    inference(fof_nnf,[status(thm)],[fact_1029_FAccRedsNull]) ).

fof(f_1171_2,plain,
    ! [U_6423,U_6422,U_6421,U_6420,U_6419,U_6418] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAcc_list_char(U_6421,U_6423,U_6422)),U_6420)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer))))),U_6419))),transi2024712006on_val(red(U_6418))))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_6421),U_6420)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,null)),U_6419))),transi2024712006on_val(red(U_6418)))) ),
    inference(variable_rename,[status(thm)],[f_1171_1]) ).

cnf(f_1171_3,plain,
    ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAcc_list_char(U_6421,U_6423,U_6422)),U_6420)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer))))),U_6419))),transi2024712006on_val(red(U_6418))))
    | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_6421),U_6420)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,null)),U_6419))),transi2024712006on_val(red(U_6418)))) ),
    inference(clausify,[status(thm)],[f_1171_2]) ).

fof(f_1172_1,plain,
    ! [F,D,E_2,Va,S_2_1,E_1_1,S_0,S_1,Pa] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAss_list_char(E_1_1,F,D,E_2)),S_0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer))))),S_2_1))),transi2024712006on_val(red(Pa))))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_2),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,Va)),S_2_1))),transi2024712006on_val(red(Pa))))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_1_1),S_0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,null)),S_1))),transi2024712006on_val(red(Pa)))) ),
    inference(fof_nnf,[status(thm)],[fact_1030_FAssRedsNull]) ).

fof(f_1172_2,plain,
    ! [U_6432,U_6431,U_6430,U_6429,U_6428,U_6427,U_6426,U_6425,U_6424] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAss_list_char(U_6427,U_6432,U_6431,U_6430)),U_6426)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer))))),U_6428))),transi2024712006on_val(red(U_6424))))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_6430),U_6425)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,U_6429)),U_6428))),transi2024712006on_val(red(U_6424))))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_6427),U_6426)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,null)),U_6425))),transi2024712006on_val(red(U_6424)))) ),
    inference(variable_rename,[status(thm)],[f_1172_1]) ).

cnf(f_1172_3,plain,
    ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAss_list_char(U_6427,U_6432,U_6431,U_6430)),U_6426)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer))))),U_6428))),transi2024712006on_val(red(U_6424))))
    | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_6430),U_6425)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,U_6429)),U_6428))),transi2024712006on_val(red(U_6424))))
    | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_6427),U_6426)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,null)),U_6425))),transi2024712006on_val(red(U_6424)))) ),
    inference(clausify,[status(thm)],[f_1172_2]) ).

fof(f_1173_1,plain,
    ! [F,D,S,Pa] : hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAcc_list_char(hAPP_v834067052t_char(val_list_char,null),F,D)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer))))),S))),red(Pa))),
    inference(fof_nnf,[status(thm)],[fact_1031_red__reds_ORedFAccNull]) ).

fof(f_1173_2,plain,
    ! [U_6436,U_6435,U_6434,U_6433] : hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAcc_list_char(hAPP_v834067052t_char(val_list_char,null),U_6436,U_6435)),U_6434)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer))))),U_6434))),red(U_6433))),
    inference(variable_rename,[status(thm)],[f_1173_1]) ).

cnf(f_1173_3,plain,
    hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAcc_list_char(hAPP_v834067052t_char(val_list_char,null),U_6436,U_6435)),U_6434)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer))))),U_6434))),red(U_6433))),
    inference(clausify,[status(thm)],[f_1173_2]) ).

fof(f_1174_1,plain,
    null != unit,
    inference(fof_nnf,[status(thm)],[fact_1032_val_Osimps_I5_J]) ).

cnf(f_1174_2,plain,
    null != unit,
    inference(clausify,[status(thm)],[f_1174_1]) ).

fof(f_1175_1,plain,
    unit != null,
    inference(fof_nnf,[status(thm)],[fact_1033_val_Osimps_I4_J]) ).

cnf(f_1175_2,plain,
    unit != null,
    inference(clausify,[status(thm)],[f_1175_1]) ).

fof(f_1176_1,plain,
    ! [Nat_1] : null != addr(Nat_1),
    inference(fof_nnf,[status(thm)],[fact_1034_val_Osimps_I16_J]) ).

fof(f_1176_2,plain,
    ! [U_6437] : null != addr(U_6437),
    inference(variable_rename,[status(thm)],[f_1176_1]) ).

cnf(f_1176_3,plain,
    null != addr(U_6437),
    inference(clausify,[status(thm)],[f_1176_2]) ).

fof(f_1177_1,plain,
    ! [Nat_1] : addr(Nat_1) != null,
    inference(fof_nnf,[status(thm)],[fact_1035_val_Osimps_I17_J]) ).

fof(f_1177_2,plain,
    ! [U_6438] : addr(U_6438) != null,
    inference(variable_rename,[status(thm)],[f_1177_1]) ).

cnf(f_1177_3,plain,
    addr(U_6438) != null,
    inference(clausify,[status(thm)],[f_1177_2]) ).

fof(f_1178_1,plain,
    ! [C,Pa,Eb,S_0,S_1] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,cast_list_char(C,Eb),S_0),hAPP_v834067052t_char(val_list_char,null)),S_1))
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S_0),hAPP_v834067052t_char(val_list_char,null)),S_1)) ),
    inference(fof_nnf,[status(thm)],[fact_1036_CastNull]) ).

fof(f_1178_2,plain,
    ! [U_6443,U_6442,U_6441,U_6440,U_6439] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6442,cast_list_char(U_6443,U_6441),U_6440),hAPP_v834067052t_char(val_list_char,null)),U_6439))
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6442,U_6441,U_6440),hAPP_v834067052t_char(val_list_char,null)),U_6439)) ),
    inference(variable_rename,[status(thm)],[f_1178_1]) ).

cnf(f_1178_3,plain,
    ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6442,cast_list_char(U_6443,U_6441),U_6440),hAPP_v834067052t_char(val_list_char,null)),U_6439))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6442,U_6441,U_6440),hAPP_v834067052t_char(val_list_char,null)),U_6439)) ),
    inference(clausify,[status(thm)],[f_1178_2]) ).

fof(f_1179_1,plain,
    ! [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)),
    inference(fof_nnf,[status(thm)],[fact_1037_redp__redsp_ORedCastNull]) ).

fof(f_1179_2,plain,
    ! [U_6446,U_6445,U_6444] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(U_6446,cast_list_char(U_6445,hAPP_v834067052t_char(val_list_char,null)),U_6444),hAPP_v834067052t_char(val_list_char,null)),U_6444)),
    inference(variable_rename,[status(thm)],[f_1179_1]) ).

cnf(f_1179_3,plain,
    hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(U_6446,cast_list_char(U_6445,hAPP_v834067052t_char(val_list_char,null)),U_6444),hAPP_v834067052t_char(val_list_char,null)),U_6444)),
    inference(clausify,[status(thm)],[f_1179_2]) ).

fof(f_1180_1,plain,
    ! [C,S,Pa] : hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cast_list_char(C,hAPP_v834067052t_char(val_list_char,null))),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,null)),S))),red(Pa))),
    inference(fof_nnf,[status(thm)],[fact_1038_red__reds_ORedCastNull]) ).

fof(f_1180_2,plain,
    ! [U_6449,U_6448,U_6447] : hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cast_list_char(U_6449,hAPP_v834067052t_char(val_list_char,null))),U_6448)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,null)),U_6448))),red(U_6447))),
    inference(variable_rename,[status(thm)],[f_1180_1]) ).

cnf(f_1180_3,plain,
    hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cast_list_char(U_6449,hAPP_v834067052t_char(val_list_char,null))),U_6448)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,null)),U_6448))),red(U_6447))),
    inference(clausify,[status(thm)],[f_1180_2]) ).

fof(f_1181_1,plain,
    ! [C,Eb,S,S_2,Pa] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cast_list_char(C,Eb)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,null)),S_2))),transi2024712006on_val(red(Pa))))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,null)),S_2))),transi2024712006on_val(red(Pa)))) ),
    inference(fof_nnf,[status(thm)],[fact_1039_CastRedsNull]) ).

fof(f_1181_2,plain,
    ! [U_6454,U_6453,U_6452,U_6451,U_6450] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cast_list_char(U_6454,U_6453)),U_6452)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,null)),U_6451))),transi2024712006on_val(red(U_6450))))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_6453),U_6452)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,null)),U_6451))),transi2024712006on_val(red(U_6450)))) ),
    inference(variable_rename,[status(thm)],[f_1181_1]) ).

cnf(f_1181_3,plain,
    ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cast_list_char(U_6454,U_6453)),U_6452)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,null)),U_6451))),transi2024712006on_val(red(U_6450))))
    | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_6453),U_6452)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,null)),U_6451))),transi2024712006on_val(red(U_6450)))) ),
    inference(clausify,[status(thm)],[f_1181_2]) ).

fof(f_1182_1,plain,
    ! [V_1_3] : binop(hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,add),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,V_1_3),null))) = none_val,
    inference(fof_nnf,[status(thm)],[fact_1040_binop_Osimps_I8_J]) ).

fof(f_1182_2,plain,
    ! [U_6455] : binop(hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,add),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_6455),null))) = none_val,
    inference(variable_rename,[status(thm)],[f_1182_1]) ).

cnf(f_1182_3,plain,
    binop(hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,add),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_6455),null))) = none_val,
    inference(clausify,[status(thm)],[f_1182_2]) ).

fof(f_1183_1,plain,
    ! [V_2_2] : binop(hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,add),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,null),V_2_2))) = none_val,
    inference(fof_nnf,[status(thm)],[fact_1041_binop_Osimps_I4_J]) ).

fof(f_1183_2,plain,
    ! [U_6456] : binop(hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,add),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,null),U_6456))) = none_val,
    inference(variable_rename,[status(thm)],[f_1183_1]) ).

cnf(f_1183_3,plain,
    binop(hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,add),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,null),U_6456))) = none_val,
    inference(clausify,[status(thm)],[f_1183_2]) ).

fof(f_1184_1,plain,
    ! [Pa,Eb,S_0,S_1] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,throw_list_char(Eb),S_0),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer))))),S_1))
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S_0),hAPP_v834067052t_char(val_list_char,null)),S_1)) ),
    inference(fof_nnf,[status(thm)],[fact_1042_ThrowNull]) ).

fof(f_1184_2,plain,
    ! [U_6460,U_6459,U_6458,U_6457] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6460,throw_list_char(U_6459),U_6458),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer))))),U_6457))
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6460,U_6459,U_6458),hAPP_v834067052t_char(val_list_char,null)),U_6457)) ),
    inference(variable_rename,[status(thm)],[f_1184_1]) ).

cnf(f_1184_3,plain,
    ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6460,throw_list_char(U_6459),U_6458),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer))))),U_6457))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6460,U_6459,U_6458),hAPP_v834067052t_char(val_list_char,null)),U_6457)) ),
    inference(clausify,[status(thm)],[f_1184_2]) ).

fof(f_1185_1,plain,
    ! [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)),
    inference(fof_nnf,[status(thm)],[fact_1043_redp__redsp_ORedThrowNull]) ).

fof(f_1185_2,plain,
    ! [U_6462,U_6461] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(U_6462,throw_list_char(hAPP_v834067052t_char(val_list_char,null)),U_6461),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer))))),U_6461)),
    inference(variable_rename,[status(thm)],[f_1185_1]) ).

cnf(f_1185_3,plain,
    hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(U_6462,throw_list_char(hAPP_v834067052t_char(val_list_char,null)),U_6461),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer))))),U_6461)),
    inference(clausify,[status(thm)],[f_1185_2]) ).

fof(f_1186_1,plain,
    ! [F,D,E_2,Va,S_2_1,Pa,E_1_1,S_0,S_1] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,fAss_list_char(E_1_1,F,D,E_2),S_0),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer))))),S_2_1))
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_2,S_1),hAPP_v834067052t_char(val_list_char,Va)),S_2_1))
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1_1,S_0),hAPP_v834067052t_char(val_list_char,null)),S_1)) ),
    inference(fof_nnf,[status(thm)],[fact_1044_FAssNull]) ).

fof(f_1186_2,plain,
    ! [U_6471,U_6470,U_6469,U_6468,U_6467,U_6466,U_6465,U_6464,U_6463] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6466,fAss_list_char(U_6465,U_6471,U_6470,U_6469),U_6464),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer))))),U_6467))
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6466,U_6469,U_6463),hAPP_v834067052t_char(val_list_char,U_6468)),U_6467))
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6466,U_6465,U_6464),hAPP_v834067052t_char(val_list_char,null)),U_6463)) ),
    inference(variable_rename,[status(thm)],[f_1186_1]) ).

cnf(f_1186_3,plain,
    ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6466,fAss_list_char(U_6465,U_6471,U_6470,U_6469),U_6464),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer))))),U_6467))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6466,U_6469,U_6463),hAPP_v834067052t_char(val_list_char,U_6468)),U_6467))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6466,U_6465,U_6464),hAPP_v834067052t_char(val_list_char,null)),U_6463)) ),
    inference(clausify,[status(thm)],[f_1186_2]) ).

fof(f_1187_1,plain,
    ! [F,D,Pa,Eb,S_0,S_1] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,fAcc_list_char(Eb,F,D),S_0),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer))))),S_1))
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S_0),hAPP_v834067052t_char(val_list_char,null)),S_1)) ),
    inference(fof_nnf,[status(thm)],[fact_1045_FAccNull]) ).

fof(f_1187_2,plain,
    ! [U_6477,U_6476,U_6475,U_6474,U_6473,U_6472] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6475,fAcc_list_char(U_6474,U_6477,U_6476),U_6473),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer))))),U_6472))
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6475,U_6474,U_6473),hAPP_v834067052t_char(val_list_char,null)),U_6472)) ),
    inference(variable_rename,[status(thm)],[f_1187_1]) ).

cnf(f_1187_3,plain,
    ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6475,fAcc_list_char(U_6474,U_6477,U_6476),U_6473),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer))))),U_6472))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6475,U_6474,U_6473),hAPP_v834067052t_char(val_list_char,null)),U_6472)) ),
    inference(clausify,[status(thm)],[f_1187_2]) ).

fof(f_1188_1,plain,
    ! [Pa,F,D,Va,S] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,fAss_list_char(hAPP_v834067052t_char(val_list_char,null),F,D,hAPP_v834067052t_char(val_list_char,Va)),S),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer))))),S)),
    inference(fof_nnf,[status(thm)],[fact_1046_redp__redsp_ORedFAssNull]) ).

fof(f_1188_2,plain,
    ! [U_6482,U_6481,U_6480,U_6479,U_6478] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(U_6482,fAss_list_char(hAPP_v834067052t_char(val_list_char,null),U_6481,U_6480,hAPP_v834067052t_char(val_list_char,U_6479)),U_6478),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer))))),U_6478)),
    inference(variable_rename,[status(thm)],[f_1188_1]) ).

cnf(f_1188_3,plain,
    hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(U_6482,fAss_list_char(hAPP_v834067052t_char(val_list_char,null),U_6481,U_6480,hAPP_v834067052t_char(val_list_char,U_6479)),U_6478),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer))))),U_6478)),
    inference(clausify,[status(thm)],[f_1188_2]) ).

fof(f_1189_1,plain,
    ! [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)),
    inference(fof_nnf,[status(thm)],[fact_1047_redp__redsp_ORedFAccNull]) ).

fof(f_1189_2,plain,
    ! [U_6486,U_6485,U_6484,U_6483] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(U_6486,fAcc_list_char(hAPP_v834067052t_char(val_list_char,null),U_6485,U_6484),U_6483),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer))))),U_6483)),
    inference(variable_rename,[status(thm)],[f_1189_1]) ).

cnf(f_1189_3,plain,
    hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(U_6486,fAcc_list_char(hAPP_v834067052t_char(val_list_char,null),U_6485,U_6484),U_6483),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer))))),U_6483)),
    inference(clausify,[status(thm)],[f_1189_2]) ).

fof(f_1190_1,plain,
    ! [S,Pa] : hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(hAPP_v834067052t_char(val_list_char,null))),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer))))),S))),red(Pa))),
    inference(fof_nnf,[status(thm)],[fact_1048_red__reds_ORedThrowNull]) ).

fof(f_1190_2,plain,
    ! [U_6488,U_6487] : hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(hAPP_v834067052t_char(val_list_char,null))),U_6488)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer))))),U_6488))),red(U_6487))),
    inference(variable_rename,[status(thm)],[f_1190_1]) ).

cnf(f_1190_3,plain,
    hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(hAPP_v834067052t_char(val_list_char,null))),U_6488)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer))))),U_6488))),red(U_6487))),
    inference(clausify,[status(thm)],[f_1190_2]) ).

fof(f_1191_1,plain,
    ! [Eb,S,S_2,Pa] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(Eb)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer))))),S_2))),transi2024712006on_val(red(Pa))))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,null)),S_2))),transi2024712006on_val(red(Pa)))) ),
    inference(fof_nnf,[status(thm)],[fact_1049_ThrowRedsNull]) ).

fof(f_1191_2,plain,
    ! [U_6492,U_6491,U_6490,U_6489] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(U_6492)),U_6491)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer))))),U_6490))),transi2024712006on_val(red(U_6489))))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_6492),U_6491)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,null)),U_6490))),transi2024712006on_val(red(U_6489)))) ),
    inference(variable_rename,[status(thm)],[f_1191_1]) ).

cnf(f_1191_3,plain,
    ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(U_6492)),U_6491)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer))))),U_6490))),transi2024712006on_val(red(U_6489))))
    | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_6492),U_6491)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,null)),U_6490))),transi2024712006on_val(red(U_6489)))) ),
    inference(clausify,[status(thm)],[f_1191_2]) ).

fof(f_1192_1,plain,
    ! [F,D,Va,S,Pa] : hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAss_list_char(hAPP_v834067052t_char(val_list_char,null),F,D,hAPP_v834067052t_char(val_list_char,Va))),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer))))),S))),red(Pa))),
    inference(fof_nnf,[status(thm)],[fact_1050_red__reds_ORedFAssNull]) ).

fof(f_1192_2,plain,
    ! [U_6497,U_6496,U_6495,U_6494,U_6493] : hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAss_list_char(hAPP_v834067052t_char(val_list_char,null),U_6497,U_6496,hAPP_v834067052t_char(val_list_char,U_6495))),U_6494)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer))))),U_6494))),red(U_6493))),
    inference(variable_rename,[status(thm)],[f_1192_1]) ).

cnf(f_1192_3,plain,
    hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAss_list_char(hAPP_v834067052t_char(val_list_char,null),U_6497,U_6496,hAPP_v834067052t_char(val_list_char,U_6495))),U_6494)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer))))),U_6494))),red(U_6493))),
    inference(clausify,[status(thm)],[f_1192_2]) ).

fof(f_1193_1,plain,
    ! [Pa,Hb,Ea,Eb,Ta] :
      ( ? [A_1] : Eb = throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A_1)))
      | ( ? [C_1] : Ta = hAPP_list_char_ty(class,C_1)
        & ? [A_1] : Eb = hAPP_v834067052t_char(val_list_char,addr(A_1)) )
      | Eb = hAPP_v834067052t_char(val_list_char,null)
      | ~ hBOOL(final_list_char(Eb))
      | ~ hBOOL(is_refT(Ta))
      | ~ hBOOL(wTrt_1(Pa,Hb,Ea,Eb,Ta)) ),
    inference(fof_nnf,[status(thm)],[fact_1051_finalRefE]) ).

fof(f_1193_2,plain,
    ! [U_6505,U_6504,U_6503,U_6502,U_6501] :
      ( ? [U_6500] : U_6502 = throw_list_char(hAPP_v834067052t_char(val_list_char,addr(U_6500)))
      | ( ? [U_6499] : U_6501 = hAPP_list_char_ty(class,U_6499)
        & ? [U_6498] : U_6502 = hAPP_v834067052t_char(val_list_char,addr(U_6498)) )
      | U_6502 = hAPP_v834067052t_char(val_list_char,null)
      | ~ hBOOL(final_list_char(U_6502))
      | ~ hBOOL(is_refT(U_6501))
      | ~ hBOOL(wTrt_1(U_6505,U_6504,U_6503,U_6502,U_6501)) ),
    inference(variable_rename,[status(thm)],[f_1193_1]) ).

fof(f_1193_3,plain,
    ! [U_6505,U_6504,U_6503,U_6502,U_6501] :
      ( ? [U_6500] : U_6502 = throw_list_char(hAPP_v834067052t_char(val_list_char,addr(U_6500)))
      | ( ? [U_6499] : U_6501 = hAPP_list_char_ty(class,U_6499)
        & U_6502 = hAPP_v834067052t_char(val_list_char,addr(sK973(U_6505,U_6504,U_6503,U_6502,U_6501))) )
      | U_6502 = hAPP_v834067052t_char(val_list_char,null)
      | ~ hBOOL(final_list_char(U_6502))
      | ~ hBOOL(is_refT(U_6501))
      | ~ hBOOL(wTrt_1(U_6505,U_6504,U_6503,U_6502,U_6501)) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK973]),skolemize(U_6498,sK973(U_6505,U_6504,U_6503,U_6502,U_6501))],[f_1193_2]) ).

fof(f_1193_4,plain,
    ! [U_6505,U_6504,U_6503,U_6502,U_6501] :
      ( ? [U_6500] : U_6502 = throw_list_char(hAPP_v834067052t_char(val_list_char,addr(U_6500)))
      | ( U_6501 = hAPP_list_char_ty(class,sK974(U_6505,U_6504,U_6503,U_6502,U_6501))
        & U_6502 = hAPP_v834067052t_char(val_list_char,addr(sK973(U_6505,U_6504,U_6503,U_6502,U_6501))) )
      | U_6502 = hAPP_v834067052t_char(val_list_char,null)
      | ~ hBOOL(final_list_char(U_6502))
      | ~ hBOOL(is_refT(U_6501))
      | ~ hBOOL(wTrt_1(U_6505,U_6504,U_6503,U_6502,U_6501)) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK974]),skolemize(U_6499,sK974(U_6505,U_6504,U_6503,U_6502,U_6501))],[f_1193_3]) ).

fof(f_1193_5,plain,
    ! [U_6505,U_6504,U_6503,U_6502,U_6501] :
      ( U_6502 = throw_list_char(hAPP_v834067052t_char(val_list_char,addr(sK975(U_6505,U_6504,U_6503,U_6502,U_6501))))
      | ( U_6501 = hAPP_list_char_ty(class,sK974(U_6505,U_6504,U_6503,U_6502,U_6501))
        & U_6502 = hAPP_v834067052t_char(val_list_char,addr(sK973(U_6505,U_6504,U_6503,U_6502,U_6501))) )
      | U_6502 = hAPP_v834067052t_char(val_list_char,null)
      | ~ hBOOL(final_list_char(U_6502))
      | ~ hBOOL(is_refT(U_6501))
      | ~ hBOOL(wTrt_1(U_6505,U_6504,U_6503,U_6502,U_6501)) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK975]),skolemize(U_6500,sK975(U_6505,U_6504,U_6503,U_6502,U_6501))],[f_1193_4]) ).

cnf(f_1193_6,plain,
    ( U_6502 = hAPP_v834067052t_char(val_list_char,addr(sK973(U_6505,U_6504,U_6503,U_6502,U_6501)))
    | U_6502 = throw_list_char(hAPP_v834067052t_char(val_list_char,addr(sK975(U_6505,U_6504,U_6503,U_6502,U_6501))))
    | U_6502 = hAPP_v834067052t_char(val_list_char,null)
    | ~ hBOOL(final_list_char(U_6502))
    | ~ hBOOL(is_refT(U_6501))
    | ~ hBOOL(wTrt_1(U_6505,U_6504,U_6503,U_6502,U_6501)) ),
    inference(clausify,[status(thm)],[f_1193_5]) ).

cnf(f_1193_7,plain,
    ( U_6501 = hAPP_list_char_ty(class,sK974(U_6505,U_6504,U_6503,U_6502,U_6501))
    | U_6502 = throw_list_char(hAPP_v834067052t_char(val_list_char,addr(sK975(U_6505,U_6504,U_6503,U_6502,U_6501))))
    | U_6502 = hAPP_v834067052t_char(val_list_char,null)
    | ~ hBOOL(final_list_char(U_6502))
    | ~ hBOOL(is_refT(U_6501))
    | ~ hBOOL(wTrt_1(U_6505,U_6504,U_6503,U_6502,U_6501)) ),
    inference(clausify,[status(thm)],[f_1193_5]) ).

fof(f_1194_1,plain,
    ! [Pa,Eb,S,E_b,S_2] :
      ( ? [E_1] :
          ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S),throw_list_char(E_1)),S_2))
          & E_b = throw_list_char(E_1) )
      | ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S),hAPP_v834067052t_char(val_list_char,null)),S_2))
        & E_b = throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer)))) )
      | ? [A_1] :
          ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S),hAPP_v834067052t_char(val_list_char,addr(A_1))),S_2))
          & E_b = throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A_1))) )
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,throw_list_char(Eb),S),E_b),S_2)) ),
    inference(fof_nnf,[status(thm)],[fact_1052_eval__cases_I12_J]) ).

fof(f_1194_2,plain,
    ! [U_6512,U_6511,U_6510,U_6509,U_6508] :
      ( ? [U_6507] :
          ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6512,U_6511,U_6510),throw_list_char(U_6507)),U_6508))
          & U_6509 = throw_list_char(U_6507) )
      | ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6512,U_6511,U_6510),hAPP_v834067052t_char(val_list_char,null)),U_6508))
        & U_6509 = throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer)))) )
      | ? [U_6506] :
          ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6512,U_6511,U_6510),hAPP_v834067052t_char(val_list_char,addr(U_6506))),U_6508))
          & U_6509 = throw_list_char(hAPP_v834067052t_char(val_list_char,addr(U_6506))) )
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6512,throw_list_char(U_6511),U_6510),U_6509),U_6508)) ),
    inference(variable_rename,[status(thm)],[f_1194_1]) ).

fof(f_1194_3,plain,
    ! [U_6512,U_6511,U_6510,U_6509,U_6508] :
      ( ? [U_6507] :
          ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6512,U_6511,U_6510),throw_list_char(U_6507)),U_6508))
          & U_6509 = throw_list_char(U_6507) )
      | ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6512,U_6511,U_6510),hAPP_v834067052t_char(val_list_char,null)),U_6508))
        & U_6509 = throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer)))) )
      | ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6512,U_6511,U_6510),hAPP_v834067052t_char(val_list_char,addr(sK976(U_6512,U_6511,U_6510,U_6509,U_6508)))),U_6508))
        & U_6509 = throw_list_char(hAPP_v834067052t_char(val_list_char,addr(sK976(U_6512,U_6511,U_6510,U_6509,U_6508)))) )
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6512,throw_list_char(U_6511),U_6510),U_6509),U_6508)) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK976]),skolemize(U_6506,sK976(U_6512,U_6511,U_6510,U_6509,U_6508))],[f_1194_2]) ).

fof(f_1194_4,plain,
    ! [U_6512,U_6511,U_6510,U_6509,U_6508] :
      ( ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6512,U_6511,U_6510),throw_list_char(sK977(U_6512,U_6511,U_6510,U_6509,U_6508))),U_6508))
        & U_6509 = throw_list_char(sK977(U_6512,U_6511,U_6510,U_6509,U_6508)) )
      | ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6512,U_6511,U_6510),hAPP_v834067052t_char(val_list_char,null)),U_6508))
        & U_6509 = throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer)))) )
      | ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6512,U_6511,U_6510),hAPP_v834067052t_char(val_list_char,addr(sK976(U_6512,U_6511,U_6510,U_6509,U_6508)))),U_6508))
        & U_6509 = throw_list_char(hAPP_v834067052t_char(val_list_char,addr(sK976(U_6512,U_6511,U_6510,U_6509,U_6508)))) )
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6512,throw_list_char(U_6511),U_6510),U_6509),U_6508)) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK977]),skolemize(U_6507,sK977(U_6512,U_6511,U_6510,U_6509,U_6508))],[f_1194_3]) ).

cnf(f_1194_5,plain,
    ( U_6509 = throw_list_char(sK977(U_6512,U_6511,U_6510,U_6509,U_6508))
    | U_6509 = throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer))))
    | U_6509 = throw_list_char(hAPP_v834067052t_char(val_list_char,addr(sK976(U_6512,U_6511,U_6510,U_6509,U_6508))))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6512,throw_list_char(U_6511),U_6510),U_6509),U_6508)) ),
    inference(clausify,[status(thm)],[f_1194_4]) ).

cnf(f_1194_6,plain,
    ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6512,U_6511,U_6510),throw_list_char(sK977(U_6512,U_6511,U_6510,U_6509,U_6508))),U_6508))
    | U_6509 = throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer))))
    | U_6509 = throw_list_char(hAPP_v834067052t_char(val_list_char,addr(sK976(U_6512,U_6511,U_6510,U_6509,U_6508))))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6512,throw_list_char(U_6511),U_6510),U_6509),U_6508)) ),
    inference(clausify,[status(thm)],[f_1194_4]) ).

cnf(f_1194_7,plain,
    ( U_6509 = throw_list_char(sK977(U_6512,U_6511,U_6510,U_6509,U_6508))
    | hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6512,U_6511,U_6510),hAPP_v834067052t_char(val_list_char,null)),U_6508))
    | U_6509 = throw_list_char(hAPP_v834067052t_char(val_list_char,addr(sK976(U_6512,U_6511,U_6510,U_6509,U_6508))))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6512,throw_list_char(U_6511),U_6510),U_6509),U_6508)) ),
    inference(clausify,[status(thm)],[f_1194_4]) ).

cnf(f_1194_8,plain,
    ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6512,U_6511,U_6510),throw_list_char(sK977(U_6512,U_6511,U_6510,U_6509,U_6508))),U_6508))
    | hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6512,U_6511,U_6510),hAPP_v834067052t_char(val_list_char,null)),U_6508))
    | U_6509 = throw_list_char(hAPP_v834067052t_char(val_list_char,addr(sK976(U_6512,U_6511,U_6510,U_6509,U_6508))))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6512,throw_list_char(U_6511),U_6510),U_6509),U_6508)) ),
    inference(clausify,[status(thm)],[f_1194_4]) ).

cnf(f_1194_9,plain,
    ( U_6509 = throw_list_char(sK977(U_6512,U_6511,U_6510,U_6509,U_6508))
    | U_6509 = throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer))))
    | hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6512,U_6511,U_6510),hAPP_v834067052t_char(val_list_char,addr(sK976(U_6512,U_6511,U_6510,U_6509,U_6508)))),U_6508))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6512,throw_list_char(U_6511),U_6510),U_6509),U_6508)) ),
    inference(clausify,[status(thm)],[f_1194_4]) ).

cnf(f_1194_10,plain,
    ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6512,U_6511,U_6510),throw_list_char(sK977(U_6512,U_6511,U_6510,U_6509,U_6508))),U_6508))
    | U_6509 = throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer))))
    | hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6512,U_6511,U_6510),hAPP_v834067052t_char(val_list_char,addr(sK976(U_6512,U_6511,U_6510,U_6509,U_6508)))),U_6508))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6512,throw_list_char(U_6511),U_6510),U_6509),U_6508)) ),
    inference(clausify,[status(thm)],[f_1194_4]) ).

cnf(f_1194_11,plain,
    ( U_6509 = throw_list_char(sK977(U_6512,U_6511,U_6510,U_6509,U_6508))
    | hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6512,U_6511,U_6510),hAPP_v834067052t_char(val_list_char,null)),U_6508))
    | hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6512,U_6511,U_6510),hAPP_v834067052t_char(val_list_char,addr(sK976(U_6512,U_6511,U_6510,U_6509,U_6508)))),U_6508))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6512,throw_list_char(U_6511),U_6510),U_6509),U_6508)) ),
    inference(clausify,[status(thm)],[f_1194_4]) ).

cnf(f_1194_12,plain,
    ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6512,U_6511,U_6510),throw_list_char(sK977(U_6512,U_6511,U_6510,U_6509,U_6508))),U_6508))
    | hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6512,U_6511,U_6510),hAPP_v834067052t_char(val_list_char,null)),U_6508))
    | hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6512,U_6511,U_6510),hAPP_v834067052t_char(val_list_char,addr(sK976(U_6512,U_6511,U_6510,U_6509,U_6508)))),U_6508))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6512,throw_list_char(U_6511),U_6510),U_6509),U_6508)) ),
    inference(clausify,[status(thm)],[f_1194_4]) ).

fof(f_1195_1,plain,
    ! [Va_1,E_2,Pa,C,S,A,D,Fs] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,tryCatch_list_char(throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A))),C,Va_1,E_2),S),block_list_char(Va_1,hAPP_list_char_ty(class,C),seq_list_char(lAss_list_char(Va_1,hAPP_v834067052t_char(val_list_char,addr(A))),E_2))),S))
      | ~ hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(transi1065307915t_char(subcls744239332t_char(Pa)),D),C))
      | hAPP_n546249108on_val(hp(S),A) != hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,D),Fs)) ),
    inference(fof_nnf,[status(thm)],[fact_1053_redp__redsp_ORedTryCatch]) ).

fof(f_1195_2,plain,
    ! [U_6520,U_6519,U_6518,U_6517,U_6516,U_6515,U_6514,U_6513] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(U_6518,tryCatch_list_char(throw_list_char(hAPP_v834067052t_char(val_list_char,addr(U_6515))),U_6517,U_6520,U_6519),U_6516),block_list_char(U_6520,hAPP_list_char_ty(class,U_6517),seq_list_char(lAss_list_char(U_6520,hAPP_v834067052t_char(val_list_char,addr(U_6515))),U_6519))),U_6516))
      | ~ hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(transi1065307915t_char(subcls744239332t_char(U_6518)),U_6514),U_6517))
      | hAPP_n546249108on_val(hp(U_6516),U_6515) != hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_6514),U_6513)) ),
    inference(variable_rename,[status(thm)],[f_1195_1]) ).

fof(f_1195_3,plain,
    ! [U_6520,U_6519,U_6518,U_6517,U_6516,U_6515,U_6514] :
      ( ! [U_6513] : hAPP_n546249108on_val(hp(U_6516),U_6515) != hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_6514),U_6513))
      | hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(U_6518,tryCatch_list_char(throw_list_char(hAPP_v834067052t_char(val_list_char,addr(U_6515))),U_6517,U_6520,U_6519),U_6516),block_list_char(U_6520,hAPP_list_char_ty(class,U_6517),seq_list_char(lAss_list_char(U_6520,hAPP_v834067052t_char(val_list_char,addr(U_6515))),U_6519))),U_6516))
      | ~ hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(transi1065307915t_char(subcls744239332t_char(U_6518)),U_6514),U_6517)) ),
    inference(miniscope,[status(thm)],[f_1195_2]) ).

cnf(f_1195_4,plain,
    ( hAPP_n546249108on_val(hp(U_6516),U_6515) != hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_6514),U_6513))
    | hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(U_6518,tryCatch_list_char(throw_list_char(hAPP_v834067052t_char(val_list_char,addr(U_6515))),U_6517,U_6520,U_6519),U_6516),block_list_char(U_6520,hAPP_list_char_ty(class,U_6517),seq_list_char(lAss_list_char(U_6520,hAPP_v834067052t_char(val_list_char,addr(U_6515))),U_6519))),U_6516))
    | ~ hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(transi1065307915t_char(subcls744239332t_char(U_6518)),U_6514),U_6517)) ),
    inference(clausify,[status(thm)],[f_1195_3]) ).

fof(f_1196_1,plain,
    ! [Pa,C,S,A,D,Fs] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,cast_list_char(C,hAPP_v834067052t_char(val_list_char,addr(A))),S),hAPP_v834067052t_char(val_list_char,addr(A))),S))
      | ~ hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(transi1065307915t_char(subcls744239332t_char(Pa)),D),C))
      | hAPP_n546249108on_val(hp(S),A) != hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,D),Fs)) ),
    inference(fof_nnf,[status(thm)],[fact_1054_redp__redsp_ORedCast]) ).

fof(f_1196_2,plain,
    ! [U_6526,U_6525,U_6524,U_6523,U_6522,U_6521] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(U_6526,cast_list_char(U_6525,hAPP_v834067052t_char(val_list_char,addr(U_6523))),U_6524),hAPP_v834067052t_char(val_list_char,addr(U_6523))),U_6524))
      | ~ hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(transi1065307915t_char(subcls744239332t_char(U_6526)),U_6522),U_6525))
      | hAPP_n546249108on_val(hp(U_6524),U_6523) != hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_6522),U_6521)) ),
    inference(variable_rename,[status(thm)],[f_1196_1]) ).

fof(f_1196_3,plain,
    ! [U_6526,U_6525,U_6524,U_6523,U_6522] :
      ( ! [U_6521] : hAPP_n546249108on_val(hp(U_6524),U_6523) != hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_6522),U_6521))
      | hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(U_6526,cast_list_char(U_6525,hAPP_v834067052t_char(val_list_char,addr(U_6523))),U_6524),hAPP_v834067052t_char(val_list_char,addr(U_6523))),U_6524))
      | ~ hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(transi1065307915t_char(subcls744239332t_char(U_6526)),U_6522),U_6525)) ),
    inference(miniscope,[status(thm)],[f_1196_2]) ).

cnf(f_1196_4,plain,
    ( hAPP_n546249108on_val(hp(U_6524),U_6523) != hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_6522),U_6521))
    | hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(U_6526,cast_list_char(U_6525,hAPP_v834067052t_char(val_list_char,addr(U_6523))),U_6524),hAPP_v834067052t_char(val_list_char,addr(U_6523))),U_6524))
    | ~ hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(transi1065307915t_char(subcls744239332t_char(U_6526)),U_6522),U_6525)) ),
    inference(clausify,[status(thm)],[f_1196_3]) ).

fof(f_1197_1,plain,
    ! [Va_1,E_2,Pa,C,S,A,D,Fs] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,tryCatch_list_char(throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A))),C,Va_1,E_2),S),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A)))),S))
      | hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(transi1065307915t_char(subcls744239332t_char(Pa)),D),C))
      | hAPP_n546249108on_val(hp(S),A) != hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,D),Fs)) ),
    inference(fof_nnf,[status(thm)],[fact_1055_redp__redsp_ORedTryFail]) ).

fof(f_1197_2,plain,
    ! [U_6534,U_6533,U_6532,U_6531,U_6530,U_6529,U_6528,U_6527] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(U_6532,tryCatch_list_char(throw_list_char(hAPP_v834067052t_char(val_list_char,addr(U_6529))),U_6531,U_6534,U_6533),U_6530),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(U_6529)))),U_6530))
      | hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(transi1065307915t_char(subcls744239332t_char(U_6532)),U_6528),U_6531))
      | hAPP_n546249108on_val(hp(U_6530),U_6529) != hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_6528),U_6527)) ),
    inference(variable_rename,[status(thm)],[f_1197_1]) ).

fof(f_1197_3,plain,
    ! [U_6534,U_6533,U_6532,U_6531,U_6530,U_6529,U_6528] :
      ( ! [U_6527] : hAPP_n546249108on_val(hp(U_6530),U_6529) != hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_6528),U_6527))
      | hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(U_6532,tryCatch_list_char(throw_list_char(hAPP_v834067052t_char(val_list_char,addr(U_6529))),U_6531,U_6534,U_6533),U_6530),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(U_6529)))),U_6530))
      | hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(transi1065307915t_char(subcls744239332t_char(U_6532)),U_6528),U_6531)) ),
    inference(miniscope,[status(thm)],[f_1197_2]) ).

cnf(f_1197_4,plain,
    ( hAPP_n546249108on_val(hp(U_6530),U_6529) != hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_6528),U_6527))
    | hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(U_6532,tryCatch_list_char(throw_list_char(hAPP_v834067052t_char(val_list_char,addr(U_6529))),U_6531,U_6534,U_6533),U_6530),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(U_6529)))),U_6530))
    | hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(transi1065307915t_char(subcls744239332t_char(U_6532)),U_6528),U_6531)) ),
    inference(clausify,[status(thm)],[f_1197_3]) ).

fof(f_1198_1,plain,
    ! [Pa,C,S,A,D,Fs] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,cast_list_char(C,hAPP_v834067052t_char(val_list_char,addr(A))),S),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(classCast))))),S))
      | hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(transi1065307915t_char(subcls744239332t_char(Pa)),D),C))
      | hAPP_n546249108on_val(hp(S),A) != hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,D),Fs)) ),
    inference(fof_nnf,[status(thm)],[fact_1056_redp__redsp_ORedCastFail]) ).

fof(f_1198_2,plain,
    ! [U_6540,U_6539,U_6538,U_6537,U_6536,U_6535] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(U_6540,cast_list_char(U_6539,hAPP_v834067052t_char(val_list_char,addr(U_6537))),U_6538),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(classCast))))),U_6538))
      | hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(transi1065307915t_char(subcls744239332t_char(U_6540)),U_6536),U_6539))
      | hAPP_n546249108on_val(hp(U_6538),U_6537) != hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_6536),U_6535)) ),
    inference(variable_rename,[status(thm)],[f_1198_1]) ).

fof(f_1198_3,plain,
    ! [U_6540,U_6539,U_6538,U_6537,U_6536] :
      ( ! [U_6535] : hAPP_n546249108on_val(hp(U_6538),U_6537) != hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_6536),U_6535))
      | hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(U_6540,cast_list_char(U_6539,hAPP_v834067052t_char(val_list_char,addr(U_6537))),U_6538),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(classCast))))),U_6538))
      | hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(transi1065307915t_char(subcls744239332t_char(U_6540)),U_6536),U_6539)) ),
    inference(miniscope,[status(thm)],[f_1198_2]) ).

cnf(f_1198_4,plain,
    ( hAPP_n546249108on_val(hp(U_6538),U_6537) != hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_6536),U_6535))
    | hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(U_6540,cast_list_char(U_6539,hAPP_v834067052t_char(val_list_char,addr(U_6537))),U_6538),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(classCast))))),U_6538))
    | hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(transi1065307915t_char(subcls744239332t_char(U_6540)),U_6536),U_6539)) ),
    inference(clausify,[status(thm)],[f_1198_3]) ).

fof(f_1199_1,plain,
    ! [C,Pa,Hb,Ea,Eb,Ta] :
      ( hBOOL(wTrt_1(Pa,Hb,Ea,cast_list_char(C,Eb),hAPP_list_char_ty(class,C)))
      | ~ hBOOL(hAPP_list_char_bool(is_cla570604648t_char(Pa),C))
      | ~ hBOOL(is_refT(Ta))
      | ~ hBOOL(wTrt_1(Pa,Hb,Ea,Eb,Ta)) ),
    inference(fof_nnf,[status(thm)],[fact_1057_WTrtCast]) ).

fof(f_1199_2,plain,
    ! [U_6546,U_6545,U_6544,U_6543,U_6542,U_6541] :
      ( hBOOL(wTrt_1(U_6545,U_6544,U_6543,cast_list_char(U_6546,U_6542),hAPP_list_char_ty(class,U_6546)))
      | ~ hBOOL(hAPP_list_char_bool(is_cla570604648t_char(U_6545),U_6546))
      | ~ hBOOL(is_refT(U_6541))
      | ~ hBOOL(wTrt_1(U_6545,U_6544,U_6543,U_6542,U_6541)) ),
    inference(variable_rename,[status(thm)],[f_1199_1]) ).

cnf(f_1199_3,plain,
    ( hBOOL(wTrt_1(U_6545,U_6544,U_6543,cast_list_char(U_6546,U_6542),hAPP_list_char_ty(class,U_6546)))
    | ~ hBOOL(hAPP_list_char_bool(is_cla570604648t_char(U_6545),U_6546))
    | ~ hBOOL(is_refT(U_6541))
    | ~ hBOOL(wTrt_1(U_6545,U_6544,U_6543,U_6542,U_6541)) ),
    inference(clausify,[status(thm)],[f_1199_2]) ).

fof(f_1200_1,plain,
    ! [List] : hAPP_list_char_ty(class,List) != void,
    inference(fof_nnf,[status(thm)],[fact_1058_ty_Osimps_I9_J]) ).

fof(f_1200_2,plain,
    ! [U_6547] : hAPP_list_char_ty(class,U_6547) != void,
    inference(variable_rename,[status(thm)],[f_1200_1]) ).

cnf(f_1200_3,plain,
    hAPP_list_char_ty(class,U_6547) != void,
    inference(clausify,[status(thm)],[f_1200_2]) ).

fof(f_1201_1,plain,
    ! [List] : void != hAPP_list_char_ty(class,List),
    inference(fof_nnf,[status(thm)],[fact_1059_ty_Osimps_I8_J]) ).

fof(f_1201_2,plain,
    ! [U_6548] : void != hAPP_list_char_ty(class,U_6548),
    inference(variable_rename,[status(thm)],[f_1201_1]) ).

cnf(f_1201_3,plain,
    void != hAPP_list_char_ty(class,U_6548),
    inference(clausify,[status(thm)],[f_1201_2]) ).

fof(f_1202_1,plain,
    ! [List_2,List_1] :
      ( ( hAPP_list_char_ty(class,List_2) = hAPP_list_char_ty(class,List_1)
        | List_2 != List_1 )
      & ( List_2 = List_1
        | hAPP_list_char_ty(class,List_2) != hAPP_list_char_ty(class,List_1) ) ),
    inference(fof_nnf,[status(thm)],[fact_1060_ty_Oinject]) ).

fof(f_1202_2,plain,
    ! [U_6550,U_6549] :
      ( ( hAPP_list_char_ty(class,U_6550) = hAPP_list_char_ty(class,U_6549)
        | U_6550 != U_6549 )
      & ( U_6550 = U_6549
        | hAPP_list_char_ty(class,U_6550) != hAPP_list_char_ty(class,U_6549) ) ),
    inference(variable_rename,[status(thm)],[f_1202_1]) ).

fof(f_1202_3,plain,
    ( ! [U_6554,U_6552] :
        ( hAPP_list_char_ty(class,U_6554) = hAPP_list_char_ty(class,U_6552)
        | U_6554 != U_6552 )
    & ! [U_6553,U_6551] :
        ( U_6553 = U_6551
        | hAPP_list_char_ty(class,U_6553) != hAPP_list_char_ty(class,U_6551) ) ),
    inference(miniscope,[status(thm)],[f_1202_2]) ).

cnf(f_1202_4,plain,
    ( U_6553 = U_6551
    | hAPP_list_char_ty(class,U_6553) != hAPP_list_char_ty(class,U_6551) ),
    inference(clausify,[status(thm)],[f_1202_3]) ).

cnf(f_1202_5,plain,
    ( hAPP_list_char_ty(class,U_6554) = hAPP_list_char_ty(class,U_6552)
    | U_6554 != U_6552 ),
    inference(clausify,[status(thm)],[f_1202_3]) ).

fof(f_1203_1,plain,
    ! [C,Pa,Hb,Ea,Eb,Ta] :
      ( hBOOL(wTrt(Pa,Hb,Ea,cast_list_char(C,Eb),hAPP_list_char_ty(class,C)))
      | ~ hBOOL(hAPP_list_char_bool(is_cla570604648t_char(Pa),C))
      | ~ hBOOL(is_refT(Ta))
      | ~ hBOOL(wTrt(Pa,Hb,Ea,Eb,Ta)) ),
    inference(fof_nnf,[status(thm)],[fact_1061_WTrt_H__WTrts_H_Ointros_I2_J]) ).

fof(f_1203_2,plain,
    ! [U_6560,U_6559,U_6558,U_6557,U_6556,U_6555] :
      ( hBOOL(wTrt(U_6559,U_6558,U_6557,cast_list_char(U_6560,U_6556),hAPP_list_char_ty(class,U_6560)))
      | ~ hBOOL(hAPP_list_char_bool(is_cla570604648t_char(U_6559),U_6560))
      | ~ hBOOL(is_refT(U_6555))
      | ~ hBOOL(wTrt(U_6559,U_6558,U_6557,U_6556,U_6555)) ),
    inference(variable_rename,[status(thm)],[f_1203_1]) ).

cnf(f_1203_3,plain,
    ( hBOOL(wTrt(U_6559,U_6558,U_6557,cast_list_char(U_6560,U_6556),hAPP_list_char_ty(class,U_6560)))
    | ~ hBOOL(hAPP_list_char_bool(is_cla570604648t_char(U_6559),U_6560))
    | ~ hBOOL(is_refT(U_6555))
    | ~ hBOOL(wTrt(U_6559,U_6558,U_6557,U_6556,U_6555)) ),
    inference(clausify,[status(thm)],[f_1203_2]) ).

fof(f_1204_1,plain,
    ! [Pa,Hb,Ea,D,Eb,Ta] :
      ( ( ? [T_4] :
            ( hBOOL(hAPP_list_char_bool(is_cla570604648t_char(Pa),D))
            & hBOOL(is_refT(T_4))
            & hBOOL(wTrt_1(Pa,Hb,Ea,Eb,T_4)) )
        & Ta = hAPP_list_char_ty(class,D) )
      | ~ hBOOL(wTrt_1(Pa,Hb,Ea,cast_list_char(D,Eb),Ta)) ),
    inference(fof_nnf,[status(thm)],[fact_1062_WTrt__elim__cases_I6_J]) ).

fof(f_1204_2,plain,
    ! [U_6567,U_6566,U_6565,U_6564,U_6563,U_6562] :
      ( ( ? [U_6561] :
            ( hBOOL(hAPP_list_char_bool(is_cla570604648t_char(U_6567),U_6564))
            & hBOOL(is_refT(U_6561))
            & hBOOL(wTrt_1(U_6567,U_6566,U_6565,U_6563,U_6561)) )
        & U_6562 = hAPP_list_char_ty(class,U_6564) )
      | ~ hBOOL(wTrt_1(U_6567,U_6566,U_6565,cast_list_char(U_6564,U_6563),U_6562)) ),
    inference(variable_rename,[status(thm)],[f_1204_1]) ).

fof(f_1204_3,plain,
    ! [U_6567,U_6566,U_6565,U_6564,U_6563,U_6562] :
      ( ( hBOOL(hAPP_list_char_bool(is_cla570604648t_char(U_6567),U_6564))
        & hBOOL(is_refT(sK978(U_6567,U_6566,U_6565,U_6564,U_6563,U_6562)))
        & hBOOL(wTrt_1(U_6567,U_6566,U_6565,U_6563,sK978(U_6567,U_6566,U_6565,U_6564,U_6563,U_6562)))
        & U_6562 = hAPP_list_char_ty(class,U_6564) )
      | ~ hBOOL(wTrt_1(U_6567,U_6566,U_6565,cast_list_char(U_6564,U_6563),U_6562)) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK978]),skolemize(U_6561,sK978(U_6567,U_6566,U_6565,U_6564,U_6563,U_6562))],[f_1204_2]) ).

cnf(f_1204_4,plain,
    ( U_6562 = hAPP_list_char_ty(class,U_6564)
    | ~ hBOOL(wTrt_1(U_6567,U_6566,U_6565,cast_list_char(U_6564,U_6563),U_6562)) ),
    inference(clausify,[status(thm)],[f_1204_3]) ).

cnf(f_1204_5,plain,
    ( hBOOL(wTrt_1(U_6567,U_6566,U_6565,U_6563,sK978(U_6567,U_6566,U_6565,U_6564,U_6563,U_6562)))
    | ~ hBOOL(wTrt_1(U_6567,U_6566,U_6565,cast_list_char(U_6564,U_6563),U_6562)) ),
    inference(clausify,[status(thm)],[f_1204_3]) ).

cnf(f_1204_6,plain,
    ( hBOOL(is_refT(sK978(U_6567,U_6566,U_6565,U_6564,U_6563,U_6562)))
    | ~ hBOOL(wTrt_1(U_6567,U_6566,U_6565,cast_list_char(U_6564,U_6563),U_6562)) ),
    inference(clausify,[status(thm)],[f_1204_3]) ).

cnf(f_1204_7,plain,
    ( hBOOL(hAPP_list_char_bool(is_cla570604648t_char(U_6567),U_6564))
    | ~ hBOOL(wTrt_1(U_6567,U_6566,U_6565,cast_list_char(U_6564,U_6563),U_6562)) ),
    inference(clausify,[status(thm)],[f_1204_3]) ).

fof(f_1205_1,plain,
    ! [Pa,C] :
      ( hBOOL(hAPP_list_char_bool(Pa,C))
      | ~ hBOOL(hAPP_list_char_bool(Pa,classCast))
      | ~ hBOOL(hAPP_list_char_bool(Pa,outOfMemory))
      | ~ hBOOL(hAPP_list_char_bool(Pa,nullPointer))
      | ~ hBOOL(hAPP_f986089162l_bool(hAPP_l1903254203l_bool(member_list_char,C),sys_xcpts)) ),
    inference(fof_nnf,[status(thm)],[fact_1063_sys__xcpts__cases]) ).

fof(f_1205_2,plain,
    ! [U_6569,U_6568] :
      ( hBOOL(hAPP_list_char_bool(U_6569,U_6568))
      | ~ hBOOL(hAPP_list_char_bool(U_6569,classCast))
      | ~ hBOOL(hAPP_list_char_bool(U_6569,outOfMemory))
      | ~ hBOOL(hAPP_list_char_bool(U_6569,nullPointer))
      | ~ hBOOL(hAPP_f986089162l_bool(hAPP_l1903254203l_bool(member_list_char,U_6568),sys_xcpts)) ),
    inference(variable_rename,[status(thm)],[f_1205_1]) ).

cnf(f_1205_3,plain,
    ( hBOOL(hAPP_list_char_bool(U_6569,U_6568))
    | ~ hBOOL(hAPP_list_char_bool(U_6569,classCast))
    | ~ hBOOL(hAPP_list_char_bool(U_6569,outOfMemory))
    | ~ hBOOL(hAPP_list_char_bool(U_6569,nullPointer))
    | ~ hBOOL(hAPP_f986089162l_bool(hAPP_l1903254203l_bool(member_list_char,U_6568),sys_xcpts)) ),
    inference(clausify,[status(thm)],[f_1205_2]) ).

fof(f_1206_1,plain,
    ! [V_1_2,Va] : binop(hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,add),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,V_1_2),bool(Va)))) = none_val,
    inference(fof_nnf,[status(thm)],[fact_1064_binop_Osimps_I9_J]) ).

fof(f_1206_2,plain,
    ! [U_6571,U_6570] : binop(hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,add),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_6571),bool(U_6570)))) = none_val,
    inference(variable_rename,[status(thm)],[f_1206_1]) ).

cnf(f_1206_3,plain,
    binop(hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,add),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_6571),bool(U_6570)))) = none_val,
    inference(clausify,[status(thm)],[f_1206_2]) ).

fof(f_1207_1,plain,
    ! [Nat,Bool_1] : addr(Nat) != bool(Bool_1),
    inference(fof_nnf,[status(thm)],[fact_1065_val_Osimps_I21_J]) ).

fof(f_1207_2,plain,
    ! [U_6573,U_6572] : addr(U_6573) != bool(U_6572),
    inference(variable_rename,[status(thm)],[f_1207_1]) ).

cnf(f_1207_3,plain,
    addr(U_6573) != bool(U_6572),
    inference(clausify,[status(thm)],[f_1207_2]) ).

fof(f_1208_1,plain,
    ! [Bool_1,Nat] : bool(Bool_1) != addr(Nat),
    inference(fof_nnf,[status(thm)],[fact_1066_val_Osimps_I20_J]) ).

fof(f_1208_2,plain,
    ! [U_6575,U_6574] : bool(U_6575) != addr(U_6574),
    inference(variable_rename,[status(thm)],[f_1208_1]) ).

cnf(f_1208_3,plain,
    bool(U_6575) != addr(U_6574),
    inference(clausify,[status(thm)],[f_1208_2]) ).

fof(f_1209_1,plain,
    ! [Bool_1,Bool] :
      ( ( bool(Bool_1) = bool(Bool)
        | ( ~ hBOOL(Bool_1)
          & hBOOL(Bool) )
        | ( ~ hBOOL(Bool)
          & hBOOL(Bool_1) ) )
      & ( ( ( hBOOL(Bool_1)
            | ~ hBOOL(Bool) )
          & ( hBOOL(Bool)
            | ~ hBOOL(Bool_1) ) )
        | bool(Bool_1) != bool(Bool) ) ),
    inference(fof_nnf,[status(thm)],[fact_1067_val_Osimps_I1_J]) ).

fof(f_1209_2,plain,
    ! [U_6577,U_6576] :
      ( ( bool(U_6577) = bool(U_6576)
        | ( ~ hBOOL(U_6577)
          & hBOOL(U_6576) )
        | ( ~ hBOOL(U_6576)
          & hBOOL(U_6577) ) )
      & ( ( ( hBOOL(U_6577)
            | ~ hBOOL(U_6576) )
          & ( hBOOL(U_6576)
            | ~ hBOOL(U_6577) ) )
        | bool(U_6577) != bool(U_6576) ) ),
    inference(variable_rename,[status(thm)],[f_1209_1]) ).

fof(f_1209_3,plain,
    ( ! [U_6581,U_6579] :
        ( bool(U_6581) = bool(U_6579)
        | ( ~ hBOOL(U_6581)
          & hBOOL(U_6579) )
        | ( ~ hBOOL(U_6579)
          & hBOOL(U_6581) ) )
    & ! [U_6580,U_6578] :
        ( ( ( hBOOL(U_6580)
            | ~ hBOOL(U_6578) )
          & ( hBOOL(U_6578)
            | ~ hBOOL(U_6580) ) )
        | bool(U_6580) != bool(U_6578) ) ),
    inference(miniscope,[status(thm)],[f_1209_2]) ).

cnf(f_1209_4,plain,
    ( hBOOL(U_6578)
    | ~ hBOOL(U_6580)
    | bool(U_6580) != bool(U_6578) ),
    inference(clausify,[status(thm)],[f_1209_3]) ).

cnf(f_1209_5,plain,
    ( hBOOL(U_6580)
    | ~ hBOOL(U_6578)
    | bool(U_6580) != bool(U_6578) ),
    inference(clausify,[status(thm)],[f_1209_3]) ).

cnf(f_1209_6,plain,
    ( hBOOL(U_6579)
    | hBOOL(U_6581)
    | bool(U_6581) = bool(U_6579) ),
    inference(clausify,[status(thm)],[f_1209_3]) ).

cnf(f_1209_7,plain,
    ( ~ hBOOL(U_6581)
    | hBOOL(U_6581)
    | bool(U_6581) = bool(U_6579) ),
    inference(clausify,[status(thm)],[f_1209_3]) ).

cnf(f_1209_8,plain,
    ( hBOOL(U_6579)
    | ~ hBOOL(U_6579)
    | bool(U_6581) = bool(U_6579) ),
    inference(clausify,[status(thm)],[f_1209_3]) ).

cnf(f_1209_9,plain,
    ( ~ hBOOL(U_6581)
    | ~ hBOOL(U_6579)
    | bool(U_6581) = bool(U_6579) ),
    inference(clausify,[status(thm)],[f_1209_3]) ).

fof(f_1210_1,plain,
    ! [Bool] : unit != bool(Bool),
    inference(fof_nnf,[status(thm)],[fact_1068_val_Osimps_I6_J]) ).

fof(f_1210_2,plain,
    ! [U_6582] : unit != bool(U_6582),
    inference(variable_rename,[status(thm)],[f_1210_1]) ).

cnf(f_1210_3,plain,
    unit != bool(U_6582),
    inference(clausify,[status(thm)],[f_1210_2]) ).

fof(f_1211_1,plain,
    ! [Bool] : bool(Bool) != unit,
    inference(fof_nnf,[status(thm)],[fact_1069_val_Osimps_I7_J]) ).

fof(f_1211_2,plain,
    ! [U_6583] : bool(U_6583) != unit,
    inference(variable_rename,[status(thm)],[f_1211_1]) ).

cnf(f_1211_3,plain,
    bool(U_6583) != unit,
    inference(clausify,[status(thm)],[f_1211_2]) ).

fof(f_1212_1,plain,
    ! [Bool] : null != bool(Bool),
    inference(fof_nnf,[status(thm)],[fact_1070_val_Osimps_I12_J]) ).

fof(f_1212_2,plain,
    ! [U_6584] : null != bool(U_6584),
    inference(variable_rename,[status(thm)],[f_1212_1]) ).

cnf(f_1212_3,plain,
    null != bool(U_6584),
    inference(clausify,[status(thm)],[f_1212_2]) ).

fof(f_1213_1,plain,
    ! [Bool] : bool(Bool) != null,
    inference(fof_nnf,[status(thm)],[fact_1071_val_Osimps_I13_J]) ).

fof(f_1213_2,plain,
    ! [U_6585] : bool(U_6585) != null,
    inference(variable_rename,[status(thm)],[f_1213_1]) ).

cnf(f_1213_3,plain,
    bool(U_6585) != null,
    inference(clausify,[status(thm)],[f_1213_2]) ).

fof(f_1214_1,plain,
    ! [C,Hb] :
      ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,addr_of_sys_xcpt(C)),dom_na996029170on_val(Hb)))
      | ~ hBOOL(hAPP_f986089162l_bool(hAPP_l1903254203l_bool(member_list_char,C),sys_xcpts))
      | ~ hBOOL(preallocated(Hb)) ),
    inference(fof_nnf,[status(thm)],[fact_1072_preallocated__dom]) ).

fof(f_1214_2,plain,
    ! [U_6587,U_6586] :
      ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,addr_of_sys_xcpt(U_6587)),dom_na996029170on_val(U_6586)))
      | ~ hBOOL(hAPP_f986089162l_bool(hAPP_l1903254203l_bool(member_list_char,U_6587),sys_xcpts))
      | ~ hBOOL(preallocated(U_6586)) ),
    inference(variable_rename,[status(thm)],[f_1214_1]) ).

cnf(f_1214_3,plain,
    ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,addr_of_sys_xcpt(U_6587)),dom_na996029170on_val(U_6586)))
    | ~ hBOOL(hAPP_f986089162l_bool(hAPP_l1903254203l_bool(member_list_char,U_6587),sys_xcpts))
    | ~ hBOOL(preallocated(U_6586)) ),
    inference(clausify,[status(thm)],[f_1214_2]) ).

fof(f_1215_1,plain,
    ! [Va,V_2_1] : binop(hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,add),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,bool(Va)),V_2_1))) = none_val,
    inference(fof_nnf,[status(thm)],[fact_1073_binop_Osimps_I5_J]) ).

fof(f_1215_2,plain,
    ! [U_6589,U_6588] : binop(hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,add),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,bool(U_6589)),U_6588))) = none_val,
    inference(variable_rename,[status(thm)],[f_1215_1]) ).

cnf(f_1215_3,plain,
    binop(hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,add),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,bool(U_6589)),U_6588))) = none_val,
    inference(clausify,[status(thm)],[f_1215_2]) ).

fof(f_1216_1,plain,
    ! [Pa,C,Hb] :
      ( hBOOL(hAPP_list_char_bool(hAPP_f388705405r_bool(Pa,Hb),C))
      | ? [Fs_1] :
          ( ~ hBOOL(hAPP_list_char_bool(hAPP_f388705405r_bool(Pa,Hb),C))
          & hAPP_n546249108on_val(Hb,addr_of_sys_xcpt(C)) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),Fs_1)) )
      | ~ hBOOL(hAPP_f986089162l_bool(hAPP_l1903254203l_bool(member_list_char,C),sys_xcpts))
      | ~ hBOOL(preallocated(Hb)) ),
    inference(fof_nnf,[status(thm)],[fact_1074_preallocatedE]) ).

fof(f_1216_2,plain,
    ! [U_6593,U_6592,U_6591] :
      ( hBOOL(hAPP_list_char_bool(hAPP_f388705405r_bool(U_6593,U_6591),U_6592))
      | ? [U_6590] :
          ( ~ hBOOL(hAPP_list_char_bool(hAPP_f388705405r_bool(U_6593,U_6591),U_6592))
          & hAPP_n546249108on_val(U_6591,addr_of_sys_xcpt(U_6592)) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_6592),U_6590)) )
      | ~ hBOOL(hAPP_f986089162l_bool(hAPP_l1903254203l_bool(member_list_char,U_6592),sys_xcpts))
      | ~ hBOOL(preallocated(U_6591)) ),
    inference(variable_rename,[status(thm)],[f_1216_1]) ).

fof(f_1216_3,plain,
    ! [U_6593,U_6592,U_6591] :
      ( hBOOL(hAPP_list_char_bool(hAPP_f388705405r_bool(U_6593,U_6591),U_6592))
      | ( ? [U_6590] : hAPP_n546249108on_val(U_6591,addr_of_sys_xcpt(U_6592)) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_6592),U_6590))
        & ~ hBOOL(hAPP_list_char_bool(hAPP_f388705405r_bool(U_6593,U_6591),U_6592)) )
      | ~ hBOOL(hAPP_f986089162l_bool(hAPP_l1903254203l_bool(member_list_char,U_6592),sys_xcpts))
      | ~ hBOOL(preallocated(U_6591)) ),
    inference(miniscope,[status(thm)],[f_1216_2]) ).

fof(f_1216_4,plain,
    ! [U_6593,U_6592,U_6591] :
      ( hBOOL(hAPP_list_char_bool(hAPP_f388705405r_bool(U_6593,U_6591),U_6592))
      | ( hAPP_n546249108on_val(U_6591,addr_of_sys_xcpt(U_6592)) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_6592),sK979(U_6593,U_6592,U_6591)))
        & ~ hBOOL(hAPP_list_char_bool(hAPP_f388705405r_bool(U_6593,U_6591),U_6592)) )
      | ~ hBOOL(hAPP_f986089162l_bool(hAPP_l1903254203l_bool(member_list_char,U_6592),sys_xcpts))
      | ~ hBOOL(preallocated(U_6591)) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK979]),skolemize(U_6590,sK979(U_6593,U_6592,U_6591))],[f_1216_3]) ).

cnf(f_1216_5,plain,
    ( ~ hBOOL(hAPP_list_char_bool(hAPP_f388705405r_bool(U_6593,U_6591),U_6592))
    | hBOOL(hAPP_list_char_bool(hAPP_f388705405r_bool(U_6593,U_6591),U_6592))
    | ~ hBOOL(hAPP_f986089162l_bool(hAPP_l1903254203l_bool(member_list_char,U_6592),sys_xcpts))
    | ~ hBOOL(preallocated(U_6591)) ),
    inference(clausify,[status(thm)],[f_1216_4]) ).

cnf(f_1216_6,plain,
    ( hAPP_n546249108on_val(U_6591,addr_of_sys_xcpt(U_6592)) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_6592),sK979(U_6593,U_6592,U_6591)))
    | hBOOL(hAPP_list_char_bool(hAPP_f388705405r_bool(U_6593,U_6591),U_6592))
    | ~ hBOOL(hAPP_f986089162l_bool(hAPP_l1903254203l_bool(member_list_char,U_6592),sys_xcpts))
    | ~ hBOOL(preallocated(U_6591)) ),
    inference(clausify,[status(thm)],[f_1216_4]) ).

fof(f_1217_1,plain,
    ! [C,Hb] :
      ( ? [Fs_1] : hAPP_n546249108on_val(Hb,addr_of_sys_xcpt(C)) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),Fs_1))
      | ~ hBOOL(hAPP_f986089162l_bool(hAPP_l1903254203l_bool(member_list_char,C),sys_xcpts))
      | ~ hBOOL(preallocated(Hb)) ),
    inference(fof_nnf,[status(thm)],[fact_1075_preallocatedD]) ).

fof(f_1217_2,plain,
    ! [U_6596,U_6595] :
      ( ? [U_6594] : hAPP_n546249108on_val(U_6595,addr_of_sys_xcpt(U_6596)) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_6596),U_6594))
      | ~ hBOOL(hAPP_f986089162l_bool(hAPP_l1903254203l_bool(member_list_char,U_6596),sys_xcpts))
      | ~ hBOOL(preallocated(U_6595)) ),
    inference(variable_rename,[status(thm)],[f_1217_1]) ).

fof(f_1217_3,plain,
    ! [U_6596,U_6595] :
      ( hAPP_n546249108on_val(U_6595,addr_of_sys_xcpt(U_6596)) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_6596),sK980(U_6596,U_6595)))
      | ~ hBOOL(hAPP_f986089162l_bool(hAPP_l1903254203l_bool(member_list_char,U_6596),sys_xcpts))
      | ~ hBOOL(preallocated(U_6595)) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK980]),skolemize(U_6594,sK980(U_6596,U_6595))],[f_1217_2]) ).

cnf(f_1217_4,plain,
    ( hAPP_n546249108on_val(U_6595,addr_of_sys_xcpt(U_6596)) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_6596),sK980(U_6596,U_6595)))
    | ~ hBOOL(hAPP_f986089162l_bool(hAPP_l1903254203l_bool(member_list_char,U_6596),sys_xcpts))
    | ~ hBOOL(preallocated(U_6595)) ),
    inference(clausify,[status(thm)],[f_1217_3]) ).

fof(f_1218_1,plain,
    ! [Hb] :
      ( ( hBOOL(preallocated(Hb))
        | ? [X_1] :
            ( ! [Fs_1] : hAPP_n546249108on_val(Hb,addr_of_sys_xcpt(X_1)) != hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,X_1),Fs_1))
            & hBOOL(hAPP_f986089162l_bool(hAPP_l1903254203l_bool(member_list_char,X_1),sys_xcpts)) ) )
      & ( ! [X_1] :
            ( ? [Fs_1] : hAPP_n546249108on_val(Hb,addr_of_sys_xcpt(X_1)) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,X_1),Fs_1))
            | ~ hBOOL(hAPP_f986089162l_bool(hAPP_l1903254203l_bool(member_list_char,X_1),sys_xcpts)) )
        | ~ hBOOL(preallocated(Hb)) ) ),
    inference(fof_nnf,[status(thm)],[fact_1076_preallocated__def]) ).

fof(f_1218_2,plain,
    ! [U_6601] :
      ( ( hBOOL(preallocated(U_6601))
        | ? [U_6600] :
            ( ! [U_6599] : hAPP_n546249108on_val(U_6601,addr_of_sys_xcpt(U_6600)) != hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_6600),U_6599))
            & hBOOL(hAPP_f986089162l_bool(hAPP_l1903254203l_bool(member_list_char,U_6600),sys_xcpts)) ) )
      & ( ! [U_6598] :
            ( ? [U_6597] : hAPP_n546249108on_val(U_6601,addr_of_sys_xcpt(U_6598)) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_6598),U_6597))
            | ~ hBOOL(hAPP_f986089162l_bool(hAPP_l1903254203l_bool(member_list_char,U_6598),sys_xcpts)) )
        | ~ hBOOL(preallocated(U_6601)) ) ),
    inference(variable_rename,[status(thm)],[f_1218_1]) ).

fof(f_1218_3,plain,
    ( ! [U_6603] :
        ( hBOOL(preallocated(U_6603))
        | ? [U_6600] :
            ( ! [U_6599] : hAPP_n546249108on_val(U_6603,addr_of_sys_xcpt(U_6600)) != hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_6600),U_6599))
            & hBOOL(hAPP_f986089162l_bool(hAPP_l1903254203l_bool(member_list_char,U_6600),sys_xcpts)) ) )
    & ! [U_6602] :
        ( ! [U_6598] :
            ( ? [U_6597] : hAPP_n546249108on_val(U_6602,addr_of_sys_xcpt(U_6598)) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_6598),U_6597))
            | ~ hBOOL(hAPP_f986089162l_bool(hAPP_l1903254203l_bool(member_list_char,U_6598),sys_xcpts)) )
        | ~ hBOOL(preallocated(U_6602)) ) ),
    inference(miniscope,[status(thm)],[f_1218_2]) ).

fof(f_1218_4,plain,
    ( ! [U_6603] :
        ( hBOOL(preallocated(U_6603))
        | ? [U_6600] :
            ( ! [U_6599] : hAPP_n546249108on_val(U_6603,addr_of_sys_xcpt(U_6600)) != hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_6600),U_6599))
            & hBOOL(hAPP_f986089162l_bool(hAPP_l1903254203l_bool(member_list_char,U_6600),sys_xcpts)) ) )
    & ! [U_6602] :
        ( ! [U_6598] :
            ( hAPP_n546249108on_val(U_6602,addr_of_sys_xcpt(U_6598)) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_6598),sK981(U_6602,U_6598)))
            | ~ hBOOL(hAPP_f986089162l_bool(hAPP_l1903254203l_bool(member_list_char,U_6598),sys_xcpts)) )
        | ~ hBOOL(preallocated(U_6602)) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK981]),skolemize(U_6597,sK981(U_6602,U_6598))],[f_1218_3]) ).

fof(f_1218_5,plain,
    ( ! [U_6603] :
        ( hBOOL(preallocated(U_6603))
        | ( ! [U_6599] : hAPP_n546249108on_val(U_6603,addr_of_sys_xcpt(sK982(U_6603))) != hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,sK982(U_6603)),U_6599))
          & hBOOL(hAPP_f986089162l_bool(hAPP_l1903254203l_bool(member_list_char,sK982(U_6603)),sys_xcpts)) ) )
    & ! [U_6602] :
        ( ! [U_6598] :
            ( hAPP_n546249108on_val(U_6602,addr_of_sys_xcpt(U_6598)) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_6598),sK981(U_6602,U_6598)))
            | ~ hBOOL(hAPP_f986089162l_bool(hAPP_l1903254203l_bool(member_list_char,U_6598),sys_xcpts)) )
        | ~ hBOOL(preallocated(U_6602)) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK982]),skolemize(U_6600,sK982(U_6603))],[f_1218_4]) ).

cnf(f_1218_6,plain,
    ( hAPP_n546249108on_val(U_6602,addr_of_sys_xcpt(U_6598)) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_6598),sK981(U_6602,U_6598)))
    | ~ hBOOL(hAPP_f986089162l_bool(hAPP_l1903254203l_bool(member_list_char,U_6598),sys_xcpts))
    | ~ hBOOL(preallocated(U_6602)) ),
    inference(clausify,[status(thm)],[f_1218_5]) ).

cnf(f_1218_7,plain,
    ( hBOOL(hAPP_f986089162l_bool(hAPP_l1903254203l_bool(member_list_char,sK982(U_6603)),sys_xcpts))
    | hBOOL(preallocated(U_6603)) ),
    inference(clausify,[status(thm)],[f_1218_5]) ).

cnf(f_1218_8,plain,
    ( hAPP_n546249108on_val(U_6603,addr_of_sys_xcpt(sK982(U_6603))) != hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,sK982(U_6603)),U_6599))
    | hBOOL(preallocated(U_6603)) ),
    inference(clausify,[status(thm)],[f_1218_5]) ).

fof(f_1219_1,plain,
    ! [V_1_2,V_2_1] : binop(hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,c_Expr_Obop_OEq),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,V_1_2),V_2_1))) = hAPP_val_option_val(some_val,bool(hAPP_val_bool(hAPP_v1392248405l_bool(fequal_val,V_1_2),V_2_1))),
    inference(fof_nnf,[status(thm)],[fact_1077_binop_Osimps_I1_J]) ).

fof(f_1219_2,plain,
    ! [U_6605,U_6604] : binop(hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,c_Expr_Obop_OEq),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_6605),U_6604))) = hAPP_val_option_val(some_val,bool(hAPP_val_bool(hAPP_v1392248405l_bool(fequal_val,U_6605),U_6604))),
    inference(variable_rename,[status(thm)],[f_1219_1]) ).

cnf(f_1219_3,plain,
    binop(hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,c_Expr_Obop_OEq),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,U_6605),U_6604))) = hAPP_val_option_val(some_val,bool(hAPP_val_bool(hAPP_v1392248405l_bool(fequal_val,U_6605),U_6604))),
    inference(clausify,[status(thm)],[f_1219_2]) ).

fof(f_1220_1,plain,
    ! [C_2,B,S,S_2,Pa] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,while_list_char(B,C_2)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,unit)),S_2))),transi2024712006on_val(red(Pa))))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,B),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,bool(fFalse))),S_2))),transi2024712006on_val(red(Pa)))) ),
    inference(fof_nnf,[status(thm)],[fact_1078_WhileFReds]) ).

fof(f_1220_2,plain,
    ! [U_6610,U_6609,U_6608,U_6607,U_6606] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,while_list_char(U_6609,U_6610)),U_6608)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,unit)),U_6607))),transi2024712006on_val(red(U_6606))))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_6609),U_6608)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,bool(fFalse))),U_6607))),transi2024712006on_val(red(U_6606)))) ),
    inference(variable_rename,[status(thm)],[f_1220_1]) ).

cnf(f_1220_3,plain,
    ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,while_list_char(U_6609,U_6610)),U_6608)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,unit)),U_6607))),transi2024712006on_val(red(U_6606))))
    | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_6609),U_6608)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,bool(fFalse))),U_6607))),transi2024712006on_val(red(U_6606)))) ),
    inference(clausify,[status(thm)],[f_1220_2]) ).

fof(f_1221_1,plain,
    ! [C_2,Pa,Eb,S_0,E_b,S_1] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,while_list_char(Eb,C_2),S_0),throw_list_char(E_b)),S_1))
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S_0),throw_list_char(E_b)),S_1)) ),
    inference(fof_nnf,[status(thm)],[fact_1079_WhileCondThrow]) ).

fof(f_1221_2,plain,
    ! [U_6616,U_6615,U_6614,U_6613,U_6612,U_6611] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6615,while_list_char(U_6614,U_6616),U_6613),throw_list_char(U_6612)),U_6611))
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6615,U_6614,U_6613),throw_list_char(U_6612)),U_6611)) ),
    inference(variable_rename,[status(thm)],[f_1221_1]) ).

cnf(f_1221_3,plain,
    ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6615,while_list_char(U_6614,U_6616),U_6613),throw_list_char(U_6612)),U_6611))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6615,U_6614,U_6613),throw_list_char(U_6612)),U_6611)) ),
    inference(clausify,[status(thm)],[f_1221_2]) ).

fof(f_1222_1,plain,
    ! [Y] :
      ( Y = add
      | Y = c_Expr_Obop_OEq
      | ~ is_bop(Y) ),
    inference(fof_nnf,[status(thm)],[fact_1080_bop_Oexhaust]) ).

fof(f_1222_2,plain,
    ! [U_6617] :
      ( U_6617 = add
      | U_6617 = c_Expr_Obop_OEq
      | ~ is_bop(U_6617) ),
    inference(variable_rename,[status(thm)],[f_1222_1]) ).

cnf(f_1222_3,plain,
    ( U_6617 = add
    | U_6617 = c_Expr_Obop_OEq
    | ~ is_bop(U_6617) ),
    inference(clausify,[status(thm)],[f_1222_2]) ).

fof(f_1223_1,plain,
    add != c_Expr_Obop_OEq,
    inference(fof_nnf,[status(thm)],[fact_1081_bop_Osimps_I2_J]) ).

cnf(f_1223_2,plain,
    add != c_Expr_Obop_OEq,
    inference(clausify,[status(thm)],[f_1223_1]) ).

fof(f_1224_1,plain,
    c_Expr_Obop_OEq != add,
    inference(fof_nnf,[status(thm)],[fact_1082_bop_Osimps_I1_J]) ).

cnf(f_1224_2,plain,
    c_Expr_Obop_OEq != add,
    inference(clausify,[status(thm)],[f_1224_1]) ).

fof(f_1225_1,plain,
    ! [B,Eb] : fv(while_list_char(B,Eb)) = semila919158006r_bool(fv(B),fv(Eb)),
    inference(fof_nnf,[status(thm)],[fact_1083_fv__fvs_Osimps_I13_J]) ).

fof(f_1225_2,plain,
    ! [U_6619,U_6618] : fv(while_list_char(U_6619,U_6618)) = semila919158006r_bool(fv(U_6619),fv(U_6618)),
    inference(variable_rename,[status(thm)],[f_1225_1]) ).

cnf(f_1225_3,plain,
    fv(while_list_char(U_6619,U_6618)) = semila919158006r_bool(fv(U_6619),fv(U_6618)),
    inference(clausify,[status(thm)],[f_1225_2]) ).

fof(f_1226_1,plain,
    ! [E_3,S_3_1,C_2,V_1_2,S_2_1,Pa,Eb,S_0,S_1] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,while_list_char(Eb,C_2),S_0),E_3),S_3_1))
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,while_list_char(Eb,C_2),S_2_1),E_3),S_3_1))
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,C_2,S_1),hAPP_v834067052t_char(val_list_char,V_1_2)),S_2_1))
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S_0),hAPP_v834067052t_char(val_list_char,bool(fTrue))),S_1)) ),
    inference(fof_nnf,[status(thm)],[fact_1084_WhileT]) ).

fof(f_1226_2,plain,
    ! [U_6628,U_6627,U_6626,U_6625,U_6624,U_6623,U_6622,U_6621,U_6620] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6623,while_list_char(U_6622,U_6626),U_6621),U_6628),U_6627))
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6623,while_list_char(U_6622,U_6626),U_6624),U_6628),U_6627))
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6623,U_6626,U_6620),hAPP_v834067052t_char(val_list_char,U_6625)),U_6624))
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6623,U_6622,U_6621),hAPP_v834067052t_char(val_list_char,bool(fTrue))),U_6620)) ),
    inference(variable_rename,[status(thm)],[f_1226_1]) ).

cnf(f_1226_3,plain,
    ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6623,while_list_char(U_6622,U_6626),U_6621),U_6628),U_6627))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6623,while_list_char(U_6622,U_6626),U_6624),U_6628),U_6627))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6623,U_6626,U_6620),hAPP_v834067052t_char(val_list_char,U_6625)),U_6624))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6623,U_6622,U_6621),hAPP_v834067052t_char(val_list_char,bool(fTrue))),U_6620)) ),
    inference(clausify,[status(thm)],[f_1226_2]) ).

fof(f_1227_1,plain,
    ! [C_2,E_b,S_2_1,Pa,Eb,S_0,S_1] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,while_list_char(Eb,C_2),S_0),throw_list_char(E_b)),S_2_1))
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,C_2,S_1),throw_list_char(E_b)),S_2_1))
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S_0),hAPP_v834067052t_char(val_list_char,bool(fTrue))),S_1)) ),
    inference(fof_nnf,[status(thm)],[fact_1085_WhileBodyThrow]) ).

fof(f_1227_2,plain,
    ! [U_6635,U_6634,U_6633,U_6632,U_6631,U_6630,U_6629] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6632,while_list_char(U_6631,U_6635),U_6630),throw_list_char(U_6634)),U_6633))
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6632,U_6635,U_6629),throw_list_char(U_6634)),U_6633))
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6632,U_6631,U_6630),hAPP_v834067052t_char(val_list_char,bool(fTrue))),U_6629)) ),
    inference(variable_rename,[status(thm)],[f_1227_1]) ).

cnf(f_1227_3,plain,
    ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6632,while_list_char(U_6631,U_6635),U_6630),throw_list_char(U_6634)),U_6633))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6632,U_6635,U_6629),throw_list_char(U_6634)),U_6633))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6632,U_6631,U_6630),hAPP_v834067052t_char(val_list_char,bool(fTrue))),U_6629)) ),
    inference(clausify,[status(thm)],[f_1227_2]) ).

fof(f_1228_1,plain,
    ! [C_2,Pa,Eb,S_0,S_1] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,while_list_char(Eb,C_2),S_0),hAPP_v834067052t_char(val_list_char,unit)),S_1))
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S_0),hAPP_v834067052t_char(val_list_char,bool(fFalse))),S_1)) ),
    inference(fof_nnf,[status(thm)],[fact_1086_WhileF]) ).

fof(f_1228_2,plain,
    ! [U_6640,U_6639,U_6638,U_6637,U_6636] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6639,while_list_char(U_6638,U_6640),U_6637),hAPP_v834067052t_char(val_list_char,unit)),U_6636))
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6639,U_6638,U_6637),hAPP_v834067052t_char(val_list_char,bool(fFalse))),U_6636)) ),
    inference(variable_rename,[status(thm)],[f_1228_1]) ).

cnf(f_1228_3,plain,
    ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6639,while_list_char(U_6638,U_6640),U_6637),hAPP_v834067052t_char(val_list_char,unit)),U_6636))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6639,U_6638,U_6637),hAPP_v834067052t_char(val_list_char,bool(fFalse))),U_6636)) ),
    inference(clausify,[status(thm)],[f_1228_2]) ).

fof(f_1229_1,plain,
    ! [C_2,B,S,Eb,S_2,Pa] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,while_list_char(B,C_2)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(Eb)),S_2))),transi2024712006on_val(red(Pa))))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,B),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(Eb)),S_2))),transi2024712006on_val(red(Pa)))) ),
    inference(fof_nnf,[status(thm)],[fact_1087_WhileRedsThrow]) ).

fof(f_1229_2,plain,
    ! [U_6646,U_6645,U_6644,U_6643,U_6642,U_6641] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,while_list_char(U_6645,U_6646)),U_6644)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(U_6643)),U_6642))),transi2024712006on_val(red(U_6641))))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_6645),U_6644)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(U_6643)),U_6642))),transi2024712006on_val(red(U_6641)))) ),
    inference(variable_rename,[status(thm)],[f_1229_1]) ).

cnf(f_1229_3,plain,
    ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,while_list_char(U_6645,U_6646)),U_6644)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(U_6643)),U_6642))),transi2024712006on_val(red(U_6641))))
    | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_6645),U_6644)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(U_6643)),U_6642))),transi2024712006on_val(red(U_6641)))) ),
    inference(clausify,[status(thm)],[f_1229_2]) ).

fof(f_1230_1,plain,
    ! [Eb,S_3_1,C_2,V_1_2,S_2_1,B,S_0,S_1,Pa] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,while_list_char(B,C_2)),S_0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S_3_1))),transi2024712006on_val(red(Pa))))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,while_list_char(B,C_2)),S_2_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S_3_1))),transi2024712006on_val(red(Pa))))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,C_2),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,V_1_2)),S_2_1))),transi2024712006on_val(red(Pa))))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,B),S_0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,bool(fTrue))),S_1))),transi2024712006on_val(red(Pa)))) ),
    inference(fof_nnf,[status(thm)],[fact_1088_WhileTReds]) ).

fof(f_1230_2,plain,
    ! [U_6655,U_6654,U_6653,U_6652,U_6651,U_6650,U_6649,U_6648,U_6647] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,while_list_char(U_6650,U_6653)),U_6649)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_6655),U_6654))),transi2024712006on_val(red(U_6647))))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,while_list_char(U_6650,U_6653)),U_6651)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_6655),U_6654))),transi2024712006on_val(red(U_6647))))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_6653),U_6648)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,U_6652)),U_6651))),transi2024712006on_val(red(U_6647))))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_6650),U_6649)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,bool(fTrue))),U_6648))),transi2024712006on_val(red(U_6647)))) ),
    inference(variable_rename,[status(thm)],[f_1230_1]) ).

cnf(f_1230_3,plain,
    ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,while_list_char(U_6650,U_6653)),U_6649)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_6655),U_6654))),transi2024712006on_val(red(U_6647))))
    | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,while_list_char(U_6650,U_6653)),U_6651)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_6655),U_6654))),transi2024712006on_val(red(U_6647))))
    | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_6653),U_6648)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,U_6652)),U_6651))),transi2024712006on_val(red(U_6647))))
    | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_6650),U_6649)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,bool(fTrue))),U_6648))),transi2024712006on_val(red(U_6647)))) ),
    inference(clausify,[status(thm)],[f_1230_2]) ).

fof(f_1231_1,plain,
    ! [C_2,Eb,S_2_1,B,S_0,S_1,Pa] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,while_list_char(B,C_2)),S_0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(Eb)),S_2_1))),transi2024712006on_val(red(Pa))))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,C_2),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(Eb)),S_2_1))),transi2024712006on_val(red(Pa))))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,B),S_0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,bool(fTrue))),S_1))),transi2024712006on_val(red(Pa)))) ),
    inference(fof_nnf,[status(thm)],[fact_1089_WhileTRedsThrow]) ).

fof(f_1231_2,plain,
    ! [U_6662,U_6661,U_6660,U_6659,U_6658,U_6657,U_6656] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,while_list_char(U_6659,U_6662)),U_6658)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(U_6661)),U_6660))),transi2024712006on_val(red(U_6656))))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_6662),U_6657)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(U_6661)),U_6660))),transi2024712006on_val(red(U_6656))))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_6659),U_6658)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,bool(fTrue))),U_6657))),transi2024712006on_val(red(U_6656)))) ),
    inference(variable_rename,[status(thm)],[f_1231_1]) ).

cnf(f_1231_3,plain,
    ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,while_list_char(U_6659,U_6662)),U_6658)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(U_6661)),U_6660))),transi2024712006on_val(red(U_6656))))
    | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_6662),U_6657)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(U_6661)),U_6660))),transi2024712006on_val(red(U_6656))))
    | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_6659),U_6658)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,bool(fTrue))),U_6657))),transi2024712006on_val(red(U_6656)))) ),
    inference(clausify,[status(thm)],[f_1231_2]) ).

fof(f_1232_1,plain,
    ! [Pa,B,C_2,S,E_b,S_2] :
      ( ? [S_1_1,E_1] :
          ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,C_2,S_1_1),throw_list_char(E_1)),S_2))
          & hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,B,S),hAPP_v834067052t_char(val_list_char,bool(fTrue))),S_1_1))
          & E_b = throw_list_char(E_1) )
      | ? [E_1] :
          ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,B,S),throw_list_char(E_1)),S_2))
          & E_b = throw_list_char(E_1) )
      | ? [S_1_1] :
          ( ? [V_1_1,S_2_2] :
              ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,while_list_char(B,C_2),S_2_2),E_b),S_2))
              & hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,C_2,S_1_1),hAPP_v834067052t_char(val_list_char,V_1_1)),S_2_2)) )
          & hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,B,S),hAPP_v834067052t_char(val_list_char,bool(fTrue))),S_1_1)) )
      | ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,B,S),hAPP_v834067052t_char(val_list_char,bool(fFalse))),S_2))
        & E_b = hAPP_v834067052t_char(val_list_char,unit) )
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,while_list_char(B,C_2),S),E_b),S_2)) ),
    inference(fof_nnf,[status(thm)],[fact_1090_eval__cases_I11_J]) ).

fof(f_1232_2,plain,
    ! [U_6674,U_6673,U_6672,U_6671,U_6670,U_6669] :
      ( ? [U_6668,U_6667] :
          ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6674,U_6672,U_6668),throw_list_char(U_6667)),U_6669))
          & hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6674,U_6673,U_6671),hAPP_v834067052t_char(val_list_char,bool(fTrue))),U_6668))
          & U_6670 = throw_list_char(U_6667) )
      | ? [U_6666] :
          ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6674,U_6673,U_6671),throw_list_char(U_6666)),U_6669))
          & U_6670 = throw_list_char(U_6666) )
      | ? [U_6665] :
          ( ? [U_6664,U_6663] :
              ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6674,while_list_char(U_6673,U_6672),U_6663),U_6670),U_6669))
              & hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6674,U_6672,U_6665),hAPP_v834067052t_char(val_list_char,U_6664)),U_6663)) )
          & hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6674,U_6673,U_6671),hAPP_v834067052t_char(val_list_char,bool(fTrue))),U_6665)) )
      | ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6674,U_6673,U_6671),hAPP_v834067052t_char(val_list_char,bool(fFalse))),U_6669))
        & U_6670 = hAPP_v834067052t_char(val_list_char,unit) )
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6674,while_list_char(U_6673,U_6672),U_6671),U_6670),U_6669)) ),
    inference(variable_rename,[status(thm)],[f_1232_1]) ).

fof(f_1232_3,plain,
    ! [U_6674,U_6673,U_6672,U_6671,U_6670,U_6669] :
      ( ? [U_6668,U_6667] :
          ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6674,U_6672,U_6668),throw_list_char(U_6667)),U_6669))
          & hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6674,U_6673,U_6671),hAPP_v834067052t_char(val_list_char,bool(fTrue))),U_6668))
          & U_6670 = throw_list_char(U_6667) )
      | ? [U_6666] :
          ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6674,U_6673,U_6671),throw_list_char(U_6666)),U_6669))
          & U_6670 = throw_list_char(U_6666) )
      | ( ? [U_6664,U_6663] :
            ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6674,while_list_char(U_6673,U_6672),U_6663),U_6670),U_6669))
            & hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6674,U_6672,sK983(U_6674,U_6673,U_6672,U_6671,U_6670,U_6669)),hAPP_v834067052t_char(val_list_char,U_6664)),U_6663)) )
        & hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6674,U_6673,U_6671),hAPP_v834067052t_char(val_list_char,bool(fTrue))),sK983(U_6674,U_6673,U_6672,U_6671,U_6670,U_6669))) )
      | ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6674,U_6673,U_6671),hAPP_v834067052t_char(val_list_char,bool(fFalse))),U_6669))
        & U_6670 = hAPP_v834067052t_char(val_list_char,unit) )
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6674,while_list_char(U_6673,U_6672),U_6671),U_6670),U_6669)) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK983]),skolemize(U_6665,sK983(U_6674,U_6673,U_6672,U_6671,U_6670,U_6669))],[f_1232_2]) ).

fof(f_1232_4,plain,
    ! [U_6674,U_6673,U_6672,U_6671,U_6670,U_6669] :
      ( ? [U_6668,U_6667] :
          ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6674,U_6672,U_6668),throw_list_char(U_6667)),U_6669))
          & hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6674,U_6673,U_6671),hAPP_v834067052t_char(val_list_char,bool(fTrue))),U_6668))
          & U_6670 = throw_list_char(U_6667) )
      | ? [U_6666] :
          ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6674,U_6673,U_6671),throw_list_char(U_6666)),U_6669))
          & U_6670 = throw_list_char(U_6666) )
      | ( ? [U_6663] :
            ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6674,while_list_char(U_6673,U_6672),U_6663),U_6670),U_6669))
            & hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6674,U_6672,sK983(U_6674,U_6673,U_6672,U_6671,U_6670,U_6669)),hAPP_v834067052t_char(val_list_char,sK984(U_6674,U_6673,U_6672,U_6671,U_6670,U_6669))),U_6663)) )
        & hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6674,U_6673,U_6671),hAPP_v834067052t_char(val_list_char,bool(fTrue))),sK983(U_6674,U_6673,U_6672,U_6671,U_6670,U_6669))) )
      | ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6674,U_6673,U_6671),hAPP_v834067052t_char(val_list_char,bool(fFalse))),U_6669))
        & U_6670 = hAPP_v834067052t_char(val_list_char,unit) )
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6674,while_list_char(U_6673,U_6672),U_6671),U_6670),U_6669)) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK984]),skolemize(U_6664,sK984(U_6674,U_6673,U_6672,U_6671,U_6670,U_6669))],[f_1232_3]) ).

fof(f_1232_5,plain,
    ! [U_6674,U_6673,U_6672,U_6671,U_6670,U_6669] :
      ( ? [U_6668,U_6667] :
          ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6674,U_6672,U_6668),throw_list_char(U_6667)),U_6669))
          & hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6674,U_6673,U_6671),hAPP_v834067052t_char(val_list_char,bool(fTrue))),U_6668))
          & U_6670 = throw_list_char(U_6667) )
      | ? [U_6666] :
          ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6674,U_6673,U_6671),throw_list_char(U_6666)),U_6669))
          & U_6670 = throw_list_char(U_6666) )
      | ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6674,while_list_char(U_6673,U_6672),sK985(U_6674,U_6673,U_6672,U_6671,U_6670,U_6669)),U_6670),U_6669))
        & hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6674,U_6672,sK983(U_6674,U_6673,U_6672,U_6671,U_6670,U_6669)),hAPP_v834067052t_char(val_list_char,sK984(U_6674,U_6673,U_6672,U_6671,U_6670,U_6669))),sK985(U_6674,U_6673,U_6672,U_6671,U_6670,U_6669)))
        & hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6674,U_6673,U_6671),hAPP_v834067052t_char(val_list_char,bool(fTrue))),sK983(U_6674,U_6673,U_6672,U_6671,U_6670,U_6669))) )
      | ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6674,U_6673,U_6671),hAPP_v834067052t_char(val_list_char,bool(fFalse))),U_6669))
        & U_6670 = hAPP_v834067052t_char(val_list_char,unit) )
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6674,while_list_char(U_6673,U_6672),U_6671),U_6670),U_6669)) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK985]),skolemize(U_6663,sK985(U_6674,U_6673,U_6672,U_6671,U_6670,U_6669))],[f_1232_4]) ).

fof(f_1232_6,plain,
    ! [U_6674,U_6673,U_6672,U_6671,U_6670,U_6669] :
      ( ? [U_6668,U_6667] :
          ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6674,U_6672,U_6668),throw_list_char(U_6667)),U_6669))
          & hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6674,U_6673,U_6671),hAPP_v834067052t_char(val_list_char,bool(fTrue))),U_6668))
          & U_6670 = throw_list_char(U_6667) )
      | ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6674,U_6673,U_6671),throw_list_char(sK986(U_6674,U_6673,U_6672,U_6671,U_6670,U_6669))),U_6669))
        & U_6670 = throw_list_char(sK986(U_6674,U_6673,U_6672,U_6671,U_6670,U_6669)) )
      | ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6674,while_list_char(U_6673,U_6672),sK985(U_6674,U_6673,U_6672,U_6671,U_6670,U_6669)),U_6670),U_6669))
        & hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6674,U_6672,sK983(U_6674,U_6673,U_6672,U_6671,U_6670,U_6669)),hAPP_v834067052t_char(val_list_char,sK984(U_6674,U_6673,U_6672,U_6671,U_6670,U_6669))),sK985(U_6674,U_6673,U_6672,U_6671,U_6670,U_6669)))
        & hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6674,U_6673,U_6671),hAPP_v834067052t_char(val_list_char,bool(fTrue))),sK983(U_6674,U_6673,U_6672,U_6671,U_6670,U_6669))) )
      | ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6674,U_6673,U_6671),hAPP_v834067052t_char(val_list_char,bool(fFalse))),U_6669))
        & U_6670 = hAPP_v834067052t_char(val_list_char,unit) )
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6674,while_list_char(U_6673,U_6672),U_6671),U_6670),U_6669)) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK986]),skolemize(U_6666,sK986(U_6674,U_6673,U_6672,U_6671,U_6670,U_6669))],[f_1232_5]) ).

fof(f_1232_7,plain,
    ! [U_6674,U_6673,U_6672,U_6671,U_6670,U_6669] :
      ( ? [U_6667] :
          ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6674,U_6672,sK987(U_6674,U_6673,U_6672,U_6671,U_6670,U_6669)),throw_list_char(U_6667)),U_6669))
          & hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6674,U_6673,U_6671),hAPP_v834067052t_char(val_list_char,bool(fTrue))),sK987(U_6674,U_6673,U_6672,U_6671,U_6670,U_6669)))
          & U_6670 = throw_list_char(U_6667) )
      | ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6674,U_6673,U_6671),throw_list_char(sK986(U_6674,U_6673,U_6672,U_6671,U_6670,U_6669))),U_6669))
        & U_6670 = throw_list_char(sK986(U_6674,U_6673,U_6672,U_6671,U_6670,U_6669)) )
      | ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6674,while_list_char(U_6673,U_6672),sK985(U_6674,U_6673,U_6672,U_6671,U_6670,U_6669)),U_6670),U_6669))
        & hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6674,U_6672,sK983(U_6674,U_6673,U_6672,U_6671,U_6670,U_6669)),hAPP_v834067052t_char(val_list_char,sK984(U_6674,U_6673,U_6672,U_6671,U_6670,U_6669))),sK985(U_6674,U_6673,U_6672,U_6671,U_6670,U_6669)))
        & hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6674,U_6673,U_6671),hAPP_v834067052t_char(val_list_char,bool(fTrue))),sK983(U_6674,U_6673,U_6672,U_6671,U_6670,U_6669))) )
      | ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6674,U_6673,U_6671),hAPP_v834067052t_char(val_list_char,bool(fFalse))),U_6669))
        & U_6670 = hAPP_v834067052t_char(val_list_char,unit) )
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6674,while_list_char(U_6673,U_6672),U_6671),U_6670),U_6669)) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK987]),skolemize(U_6668,sK987(U_6674,U_6673,U_6672,U_6671,U_6670,U_6669))],[f_1232_6]) ).

fof(f_1232_8,plain,
    ! [U_6674,U_6673,U_6672,U_6671,U_6670,U_6669] :
      ( ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6674,U_6672,sK987(U_6674,U_6673,U_6672,U_6671,U_6670,U_6669)),throw_list_char(sK988(U_6674,U_6673,U_6672,U_6671,U_6670,U_6669))),U_6669))
        & hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6674,U_6673,U_6671),hAPP_v834067052t_char(val_list_char,bool(fTrue))),sK987(U_6674,U_6673,U_6672,U_6671,U_6670,U_6669)))
        & U_6670 = throw_list_char(sK988(U_6674,U_6673,U_6672,U_6671,U_6670,U_6669)) )
      | ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6674,U_6673,U_6671),throw_list_char(sK986(U_6674,U_6673,U_6672,U_6671,U_6670,U_6669))),U_6669))
        & U_6670 = throw_list_char(sK986(U_6674,U_6673,U_6672,U_6671,U_6670,U_6669)) )
      | ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6674,while_list_char(U_6673,U_6672),sK985(U_6674,U_6673,U_6672,U_6671,U_6670,U_6669)),U_6670),U_6669))
        & hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6674,U_6672,sK983(U_6674,U_6673,U_6672,U_6671,U_6670,U_6669)),hAPP_v834067052t_char(val_list_char,sK984(U_6674,U_6673,U_6672,U_6671,U_6670,U_6669))),sK985(U_6674,U_6673,U_6672,U_6671,U_6670,U_6669)))
        & hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6674,U_6673,U_6671),hAPP_v834067052t_char(val_list_char,bool(fTrue))),sK983(U_6674,U_6673,U_6672,U_6671,U_6670,U_6669))) )
      | ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6674,U_6673,U_6671),hAPP_v834067052t_char(val_list_char,bool(fFalse))),U_6669))
        & U_6670 = hAPP_v834067052t_char(val_list_char,unit) )
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6674,while_list_char(U_6673,U_6672),U_6671),U_6670),U_6669)) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK988]),skolemize(U_6667,sK988(U_6674,U_6673,U_6672,U_6671,U_6670,U_6669))],[f_1232_7]) ).

cnf(f_1232_9,plain,
    ( U_6670 = throw_list_char(sK988(U_6674,U_6673,U_6672,U_6671,U_6670,U_6669))
    | U_6670 = throw_list_char(sK986(U_6674,U_6673,U_6672,U_6671,U_6670,U_6669))
    | hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6674,U_6673,U_6671),hAPP_v834067052t_char(val_list_char,bool(fTrue))),sK983(U_6674,U_6673,U_6672,U_6671,U_6670,U_6669)))
    | U_6670 = hAPP_v834067052t_char(val_list_char,unit)
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6674,while_list_char(U_6673,U_6672),U_6671),U_6670),U_6669)) ),
    inference(clausify,[status(thm)],[f_1232_8]) ).

cnf(f_1232_10,plain,
    ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6674,U_6673,U_6671),hAPP_v834067052t_char(val_list_char,bool(fTrue))),sK987(U_6674,U_6673,U_6672,U_6671,U_6670,U_6669)))
    | U_6670 = throw_list_char(sK986(U_6674,U_6673,U_6672,U_6671,U_6670,U_6669))
    | hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6674,U_6673,U_6671),hAPP_v834067052t_char(val_list_char,bool(fTrue))),sK983(U_6674,U_6673,U_6672,U_6671,U_6670,U_6669)))
    | U_6670 = hAPP_v834067052t_char(val_list_char,unit)
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6674,while_list_char(U_6673,U_6672),U_6671),U_6670),U_6669)) ),
    inference(clausify,[status(thm)],[f_1232_8]) ).

cnf(f_1232_11,plain,
    ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6674,U_6672,sK987(U_6674,U_6673,U_6672,U_6671,U_6670,U_6669)),throw_list_char(sK988(U_6674,U_6673,U_6672,U_6671,U_6670,U_6669))),U_6669))
    | U_6670 = throw_list_char(sK986(U_6674,U_6673,U_6672,U_6671,U_6670,U_6669))
    | hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6674,U_6673,U_6671),hAPP_v834067052t_char(val_list_char,bool(fTrue))),sK983(U_6674,U_6673,U_6672,U_6671,U_6670,U_6669)))
    | U_6670 = hAPP_v834067052t_char(val_list_char,unit)
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6674,while_list_char(U_6673,U_6672),U_6671),U_6670),U_6669)) ),
    inference(clausify,[status(thm)],[f_1232_8]) ).

cnf(f_1232_12,plain,
    ( U_6670 = throw_list_char(sK988(U_6674,U_6673,U_6672,U_6671,U_6670,U_6669))
    | hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6674,U_6673,U_6671),throw_list_char(sK986(U_6674,U_6673,U_6672,U_6671,U_6670,U_6669))),U_6669))
    | hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6674,U_6673,U_6671),hAPP_v834067052t_char(val_list_char,bool(fTrue))),sK983(U_6674,U_6673,U_6672,U_6671,U_6670,U_6669)))
    | U_6670 = hAPP_v834067052t_char(val_list_char,unit)
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6674,while_list_char(U_6673,U_6672),U_6671),U_6670),U_6669)) ),
    inference(clausify,[status(thm)],[f_1232_8]) ).

cnf(f_1232_13,plain,
    ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6674,U_6673,U_6671),hAPP_v834067052t_char(val_list_char,bool(fTrue))),sK987(U_6674,U_6673,U_6672,U_6671,U_6670,U_6669)))
    | hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6674,U_6673,U_6671),throw_list_char(sK986(U_6674,U_6673,U_6672,U_6671,U_6670,U_6669))),U_6669))
    | hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6674,U_6673,U_6671),hAPP_v834067052t_char(val_list_char,bool(fTrue))),sK983(U_6674,U_6673,U_6672,U_6671,U_6670,U_6669)))
    | U_6670 = hAPP_v834067052t_char(val_list_char,unit)
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6674,while_list_char(U_6673,U_6672),U_6671),U_6670),U_6669)) ),
    inference(clausify,[status(thm)],[f_1232_8]) ).

cnf(f_1232_14,plain,
    ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6674,U_6672,sK987(U_6674,U_6673,U_6672,U_6671,U_6670,U_6669)),throw_list_char(sK988(U_6674,U_6673,U_6672,U_6671,U_6670,U_6669))),U_6669))
    | hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6674,U_6673,U_6671),throw_list_char(sK986(U_6674,U_6673,U_6672,U_6671,U_6670,U_6669))),U_6669))
    | hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6674,U_6673,U_6671),hAPP_v834067052t_char(val_list_char,bool(fTrue))),sK983(U_6674,U_6673,U_6672,U_6671,U_6670,U_6669)))
    | U_6670 = hAPP_v834067052t_char(val_list_char,unit)
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6674,while_list_char(U_6673,U_6672),U_6671),U_6670),U_6669)) ),
    inference(clausify,[status(thm)],[f_1232_8]) ).

cnf(f_1232_15,plain,
    ( U_6670 = throw_list_char(sK988(U_6674,U_6673,U_6672,U_6671,U_6670,U_6669))
    | U_6670 = throw_list_char(sK986(U_6674,U_6673,U_6672,U_6671,U_6670,U_6669))
    | hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6674,U_6672,sK983(U_6674,U_6673,U_6672,U_6671,U_6670,U_6669)),hAPP_v834067052t_char(val_list_char,sK984(U_6674,U_6673,U_6672,U_6671,U_6670,U_6669))),sK985(U_6674,U_6673,U_6672,U_6671,U_6670,U_6669)))
    | U_6670 = hAPP_v834067052t_char(val_list_char,unit)
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6674,while_list_char(U_6673,U_6672),U_6671),U_6670),U_6669)) ),
    inference(clausify,[status(thm)],[f_1232_8]) ).

cnf(f_1232_16,plain,
    ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6674,U_6673,U_6671),hAPP_v834067052t_char(val_list_char,bool(fTrue))),sK987(U_6674,U_6673,U_6672,U_6671,U_6670,U_6669)))
    | U_6670 = throw_list_char(sK986(U_6674,U_6673,U_6672,U_6671,U_6670,U_6669))
    | hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6674,U_6672,sK983(U_6674,U_6673,U_6672,U_6671,U_6670,U_6669)),hAPP_v834067052t_char(val_list_char,sK984(U_6674,U_6673,U_6672,U_6671,U_6670,U_6669))),sK985(U_6674,U_6673,U_6672,U_6671,U_6670,U_6669)))
    | U_6670 = hAPP_v834067052t_char(val_list_char,unit)
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6674,while_list_char(U_6673,U_6672),U_6671),U_6670),U_6669)) ),
    inference(clausify,[status(thm)],[f_1232_8]) ).

cnf(f_1232_17,plain,
    ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6674,U_6672,sK987(U_6674,U_6673,U_6672,U_6671,U_6670,U_6669)),throw_list_char(sK988(U_6674,U_6673,U_6672,U_6671,U_6670,U_6669))),U_6669))
    | U_6670 = throw_list_char(sK986(U_6674,U_6673,U_6672,U_6671,U_6670,U_6669))
    | hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6674,U_6672,sK983(U_6674,U_6673,U_6672,U_6671,U_6670,U_6669)),hAPP_v834067052t_char(val_list_char,sK984(U_6674,U_6673,U_6672,U_6671,U_6670,U_6669))),sK985(U_6674,U_6673,U_6672,U_6671,U_6670,U_6669)))
    | U_6670 = hAPP_v834067052t_char(val_list_char,unit)
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6674,while_list_char(U_6673,U_6672),U_6671),U_6670),U_6669)) ),
    inference(clausify,[status(thm)],[f_1232_8]) ).

cnf(f_1232_18,plain,
    ( U_6670 = throw_list_char(sK988(U_6674,U_6673,U_6672,U_6671,U_6670,U_6669))
    | hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6674,U_6673,U_6671),throw_list_char(sK986(U_6674,U_6673,U_6672,U_6671,U_6670,U_6669))),U_6669))
    | hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6674,U_6672,sK983(U_6674,U_6673,U_6672,U_6671,U_6670,U_6669)),hAPP_v834067052t_char(val_list_char,sK984(U_6674,U_6673,U_6672,U_6671,U_6670,U_6669))),sK985(U_6674,U_6673,U_6672,U_6671,U_6670,U_6669)))
    | U_6670 = hAPP_v834067052t_char(val_list_char,unit)
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6674,while_list_char(U_6673,U_6672),U_6671),U_6670),U_6669)) ),
    inference(clausify,[status(thm)],[f_1232_8]) ).

cnf(f_1232_19,plain,
    ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6674,U_6673,U_6671),hAPP_v834067052t_char(val_list_char,bool(fTrue))),sK987(U_6674,U_6673,U_6672,U_6671,U_6670,U_6669)))
    | hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6674,U_6673,U_6671),throw_list_char(sK986(U_6674,U_6673,U_6672,U_6671,U_6670,U_6669))),U_6669))
    | hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6674,U_6672,sK983(U_6674,U_6673,U_6672,U_6671,U_6670,U_6669)),hAPP_v834067052t_char(val_list_char,sK984(U_6674,U_6673,U_6672,U_6671,U_6670,U_6669))),sK985(U_6674,U_6673,U_6672,U_6671,U_6670,U_6669)))
    | U_6670 = hAPP_v834067052t_char(val_list_char,unit)
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6674,while_list_char(U_6673,U_6672),U_6671),U_6670),U_6669)) ),
    inference(clausify,[status(thm)],[f_1232_8]) ).

cnf(f_1232_20,plain,
    ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6674,U_6672,sK987(U_6674,U_6673,U_6672,U_6671,U_6670,U_6669)),throw_list_char(sK988(U_6674,U_6673,U_6672,U_6671,U_6670,U_6669))),U_6669))
    | hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6674,U_6673,U_6671),throw_list_char(sK986(U_6674,U_6673,U_6672,U_6671,U_6670,U_6669))),U_6669))
    | hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6674,U_6672,sK983(U_6674,U_6673,U_6672,U_6671,U_6670,U_6669)),hAPP_v834067052t_char(val_list_char,sK984(U_6674,U_6673,U_6672,U_6671,U_6670,U_6669))),sK985(U_6674,U_6673,U_6672,U_6671,U_6670,U_6669)))
    | U_6670 = hAPP_v834067052t_char(val_list_char,unit)
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6674,while_list_char(U_6673,U_6672),U_6671),U_6670),U_6669)) ),
    inference(clausify,[status(thm)],[f_1232_8]) ).

cnf(f_1232_21,plain,
    ( U_6670 = throw_list_char(sK988(U_6674,U_6673,U_6672,U_6671,U_6670,U_6669))
    | U_6670 = throw_list_char(sK986(U_6674,U_6673,U_6672,U_6671,U_6670,U_6669))
    | hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6674,while_list_char(U_6673,U_6672),sK985(U_6674,U_6673,U_6672,U_6671,U_6670,U_6669)),U_6670),U_6669))
    | U_6670 = hAPP_v834067052t_char(val_list_char,unit)
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6674,while_list_char(U_6673,U_6672),U_6671),U_6670),U_6669)) ),
    inference(clausify,[status(thm)],[f_1232_8]) ).

cnf(f_1232_22,plain,
    ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6674,U_6673,U_6671),hAPP_v834067052t_char(val_list_char,bool(fTrue))),sK987(U_6674,U_6673,U_6672,U_6671,U_6670,U_6669)))
    | U_6670 = throw_list_char(sK986(U_6674,U_6673,U_6672,U_6671,U_6670,U_6669))
    | hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6674,while_list_char(U_6673,U_6672),sK985(U_6674,U_6673,U_6672,U_6671,U_6670,U_6669)),U_6670),U_6669))
    | U_6670 = hAPP_v834067052t_char(val_list_char,unit)
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6674,while_list_char(U_6673,U_6672),U_6671),U_6670),U_6669)) ),
    inference(clausify,[status(thm)],[f_1232_8]) ).

cnf(f_1232_23,plain,
    ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6674,U_6672,sK987(U_6674,U_6673,U_6672,U_6671,U_6670,U_6669)),throw_list_char(sK988(U_6674,U_6673,U_6672,U_6671,U_6670,U_6669))),U_6669))
    | U_6670 = throw_list_char(sK986(U_6674,U_6673,U_6672,U_6671,U_6670,U_6669))
    | hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6674,while_list_char(U_6673,U_6672),sK985(U_6674,U_6673,U_6672,U_6671,U_6670,U_6669)),U_6670),U_6669))
    | U_6670 = hAPP_v834067052t_char(val_list_char,unit)
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6674,while_list_char(U_6673,U_6672),U_6671),U_6670),U_6669)) ),
    inference(clausify,[status(thm)],[f_1232_8]) ).

cnf(f_1232_24,plain,
    ( U_6670 = throw_list_char(sK988(U_6674,U_6673,U_6672,U_6671,U_6670,U_6669))
    | hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6674,U_6673,U_6671),throw_list_char(sK986(U_6674,U_6673,U_6672,U_6671,U_6670,U_6669))),U_6669))
    | hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6674,while_list_char(U_6673,U_6672),sK985(U_6674,U_6673,U_6672,U_6671,U_6670,U_6669)),U_6670),U_6669))
    | U_6670 = hAPP_v834067052t_char(val_list_char,unit)
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6674,while_list_char(U_6673,U_6672),U_6671),U_6670),U_6669)) ),
    inference(clausify,[status(thm)],[f_1232_8]) ).

cnf(f_1232_25,plain,
    ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6674,U_6673,U_6671),hAPP_v834067052t_char(val_list_char,bool(fTrue))),sK987(U_6674,U_6673,U_6672,U_6671,U_6670,U_6669)))
    | hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6674,U_6673,U_6671),throw_list_char(sK986(U_6674,U_6673,U_6672,U_6671,U_6670,U_6669))),U_6669))
    | hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6674,while_list_char(U_6673,U_6672),sK985(U_6674,U_6673,U_6672,U_6671,U_6670,U_6669)),U_6670),U_6669))
    | U_6670 = hAPP_v834067052t_char(val_list_char,unit)
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6674,while_list_char(U_6673,U_6672),U_6671),U_6670),U_6669)) ),
    inference(clausify,[status(thm)],[f_1232_8]) ).

cnf(f_1232_26,plain,
    ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6674,U_6672,sK987(U_6674,U_6673,U_6672,U_6671,U_6670,U_6669)),throw_list_char(sK988(U_6674,U_6673,U_6672,U_6671,U_6670,U_6669))),U_6669))
    | hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6674,U_6673,U_6671),throw_list_char(sK986(U_6674,U_6673,U_6672,U_6671,U_6670,U_6669))),U_6669))
    | hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6674,while_list_char(U_6673,U_6672),sK985(U_6674,U_6673,U_6672,U_6671,U_6670,U_6669)),U_6670),U_6669))
    | U_6670 = hAPP_v834067052t_char(val_list_char,unit)
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6674,while_list_char(U_6673,U_6672),U_6671),U_6670),U_6669)) ),
    inference(clausify,[status(thm)],[f_1232_8]) ).

cnf(f_1232_27,plain,
    ( U_6670 = throw_list_char(sK988(U_6674,U_6673,U_6672,U_6671,U_6670,U_6669))
    | U_6670 = throw_list_char(sK986(U_6674,U_6673,U_6672,U_6671,U_6670,U_6669))
    | hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6674,U_6673,U_6671),hAPP_v834067052t_char(val_list_char,bool(fTrue))),sK983(U_6674,U_6673,U_6672,U_6671,U_6670,U_6669)))
    | hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6674,U_6673,U_6671),hAPP_v834067052t_char(val_list_char,bool(fFalse))),U_6669))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6674,while_list_char(U_6673,U_6672),U_6671),U_6670),U_6669)) ),
    inference(clausify,[status(thm)],[f_1232_8]) ).

cnf(f_1232_28,plain,
    ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6674,U_6673,U_6671),hAPP_v834067052t_char(val_list_char,bool(fTrue))),sK987(U_6674,U_6673,U_6672,U_6671,U_6670,U_6669)))
    | U_6670 = throw_list_char(sK986(U_6674,U_6673,U_6672,U_6671,U_6670,U_6669))
    | hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6674,U_6673,U_6671),hAPP_v834067052t_char(val_list_char,bool(fTrue))),sK983(U_6674,U_6673,U_6672,U_6671,U_6670,U_6669)))
    | hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6674,U_6673,U_6671),hAPP_v834067052t_char(val_list_char,bool(fFalse))),U_6669))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6674,while_list_char(U_6673,U_6672),U_6671),U_6670),U_6669)) ),
    inference(clausify,[status(thm)],[f_1232_8]) ).

cnf(f_1232_29,plain,
    ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6674,U_6672,sK987(U_6674,U_6673,U_6672,U_6671,U_6670,U_6669)),throw_list_char(sK988(U_6674,U_6673,U_6672,U_6671,U_6670,U_6669))),U_6669))
    | U_6670 = throw_list_char(sK986(U_6674,U_6673,U_6672,U_6671,U_6670,U_6669))
    | hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6674,U_6673,U_6671),hAPP_v834067052t_char(val_list_char,bool(fTrue))),sK983(U_6674,U_6673,U_6672,U_6671,U_6670,U_6669)))
    | hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6674,U_6673,U_6671),hAPP_v834067052t_char(val_list_char,bool(fFalse))),U_6669))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6674,while_list_char(U_6673,U_6672),U_6671),U_6670),U_6669)) ),
    inference(clausify,[status(thm)],[f_1232_8]) ).

cnf(f_1232_30,plain,
    ( U_6670 = throw_list_char(sK988(U_6674,U_6673,U_6672,U_6671,U_6670,U_6669))
    | hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6674,U_6673,U_6671),throw_list_char(sK986(U_6674,U_6673,U_6672,U_6671,U_6670,U_6669))),U_6669))
    | hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6674,U_6673,U_6671),hAPP_v834067052t_char(val_list_char,bool(fTrue))),sK983(U_6674,U_6673,U_6672,U_6671,U_6670,U_6669)))
    | hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6674,U_6673,U_6671),hAPP_v834067052t_char(val_list_char,bool(fFalse))),U_6669))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6674,while_list_char(U_6673,U_6672),U_6671),U_6670),U_6669)) ),
    inference(clausify,[status(thm)],[f_1232_8]) ).

cnf(f_1232_31,plain,
    ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6674,U_6673,U_6671),hAPP_v834067052t_char(val_list_char,bool(fTrue))),sK987(U_6674,U_6673,U_6672,U_6671,U_6670,U_6669)))
    | hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6674,U_6673,U_6671),throw_list_char(sK986(U_6674,U_6673,U_6672,U_6671,U_6670,U_6669))),U_6669))
    | hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6674,U_6673,U_6671),hAPP_v834067052t_char(val_list_char,bool(fTrue))),sK983(U_6674,U_6673,U_6672,U_6671,U_6670,U_6669)))
    | hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6674,U_6673,U_6671),hAPP_v834067052t_char(val_list_char,bool(fFalse))),U_6669))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6674,while_list_char(U_6673,U_6672),U_6671),U_6670),U_6669)) ),
    inference(clausify,[status(thm)],[f_1232_8]) ).

cnf(f_1232_32,plain,
    ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6674,U_6672,sK987(U_6674,U_6673,U_6672,U_6671,U_6670,U_6669)),throw_list_char(sK988(U_6674,U_6673,U_6672,U_6671,U_6670,U_6669))),U_6669))
    | hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6674,U_6673,U_6671),throw_list_char(sK986(U_6674,U_6673,U_6672,U_6671,U_6670,U_6669))),U_6669))
    | hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6674,U_6673,U_6671),hAPP_v834067052t_char(val_list_char,bool(fTrue))),sK983(U_6674,U_6673,U_6672,U_6671,U_6670,U_6669)))
    | hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6674,U_6673,U_6671),hAPP_v834067052t_char(val_list_char,bool(fFalse))),U_6669))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6674,while_list_char(U_6673,U_6672),U_6671),U_6670),U_6669)) ),
    inference(clausify,[status(thm)],[f_1232_8]) ).

cnf(f_1232_33,plain,
    ( U_6670 = throw_list_char(sK988(U_6674,U_6673,U_6672,U_6671,U_6670,U_6669))
    | U_6670 = throw_list_char(sK986(U_6674,U_6673,U_6672,U_6671,U_6670,U_6669))
    | hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6674,U_6672,sK983(U_6674,U_6673,U_6672,U_6671,U_6670,U_6669)),hAPP_v834067052t_char(val_list_char,sK984(U_6674,U_6673,U_6672,U_6671,U_6670,U_6669))),sK985(U_6674,U_6673,U_6672,U_6671,U_6670,U_6669)))
    | hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6674,U_6673,U_6671),hAPP_v834067052t_char(val_list_char,bool(fFalse))),U_6669))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6674,while_list_char(U_6673,U_6672),U_6671),U_6670),U_6669)) ),
    inference(clausify,[status(thm)],[f_1232_8]) ).

cnf(f_1232_34,plain,
    ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6674,U_6673,U_6671),hAPP_v834067052t_char(val_list_char,bool(fTrue))),sK987(U_6674,U_6673,U_6672,U_6671,U_6670,U_6669)))
    | U_6670 = throw_list_char(sK986(U_6674,U_6673,U_6672,U_6671,U_6670,U_6669))
    | hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6674,U_6672,sK983(U_6674,U_6673,U_6672,U_6671,U_6670,U_6669)),hAPP_v834067052t_char(val_list_char,sK984(U_6674,U_6673,U_6672,U_6671,U_6670,U_6669))),sK985(U_6674,U_6673,U_6672,U_6671,U_6670,U_6669)))
    | hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6674,U_6673,U_6671),hAPP_v834067052t_char(val_list_char,bool(fFalse))),U_6669))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6674,while_list_char(U_6673,U_6672),U_6671),U_6670),U_6669)) ),
    inference(clausify,[status(thm)],[f_1232_8]) ).

cnf(f_1232_35,plain,
    ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6674,U_6672,sK987(U_6674,U_6673,U_6672,U_6671,U_6670,U_6669)),throw_list_char(sK988(U_6674,U_6673,U_6672,U_6671,U_6670,U_6669))),U_6669))
    | U_6670 = throw_list_char(sK986(U_6674,U_6673,U_6672,U_6671,U_6670,U_6669))
    | hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6674,U_6672,sK983(U_6674,U_6673,U_6672,U_6671,U_6670,U_6669)),hAPP_v834067052t_char(val_list_char,sK984(U_6674,U_6673,U_6672,U_6671,U_6670,U_6669))),sK985(U_6674,U_6673,U_6672,U_6671,U_6670,U_6669)))
    | hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6674,U_6673,U_6671),hAPP_v834067052t_char(val_list_char,bool(fFalse))),U_6669))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6674,while_list_char(U_6673,U_6672),U_6671),U_6670),U_6669)) ),
    inference(clausify,[status(thm)],[f_1232_8]) ).

cnf(f_1232_36,plain,
    ( U_6670 = throw_list_char(sK988(U_6674,U_6673,U_6672,U_6671,U_6670,U_6669))
    | hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6674,U_6673,U_6671),throw_list_char(sK986(U_6674,U_6673,U_6672,U_6671,U_6670,U_6669))),U_6669))
    | hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6674,U_6672,sK983(U_6674,U_6673,U_6672,U_6671,U_6670,U_6669)),hAPP_v834067052t_char(val_list_char,sK984(U_6674,U_6673,U_6672,U_6671,U_6670,U_6669))),sK985(U_6674,U_6673,U_6672,U_6671,U_6670,U_6669)))
    | hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6674,U_6673,U_6671),hAPP_v834067052t_char(val_list_char,bool(fFalse))),U_6669))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6674,while_list_char(U_6673,U_6672),U_6671),U_6670),U_6669)) ),
    inference(clausify,[status(thm)],[f_1232_8]) ).

cnf(f_1232_37,plain,
    ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6674,U_6673,U_6671),hAPP_v834067052t_char(val_list_char,bool(fTrue))),sK987(U_6674,U_6673,U_6672,U_6671,U_6670,U_6669)))
    | hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6674,U_6673,U_6671),throw_list_char(sK986(U_6674,U_6673,U_6672,U_6671,U_6670,U_6669))),U_6669))
    | hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6674,U_6672,sK983(U_6674,U_6673,U_6672,U_6671,U_6670,U_6669)),hAPP_v834067052t_char(val_list_char,sK984(U_6674,U_6673,U_6672,U_6671,U_6670,U_6669))),sK985(U_6674,U_6673,U_6672,U_6671,U_6670,U_6669)))
    | hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6674,U_6673,U_6671),hAPP_v834067052t_char(val_list_char,bool(fFalse))),U_6669))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6674,while_list_char(U_6673,U_6672),U_6671),U_6670),U_6669)) ),
    inference(clausify,[status(thm)],[f_1232_8]) ).

cnf(f_1232_38,plain,
    ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6674,U_6672,sK987(U_6674,U_6673,U_6672,U_6671,U_6670,U_6669)),throw_list_char(sK988(U_6674,U_6673,U_6672,U_6671,U_6670,U_6669))),U_6669))
    | hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6674,U_6673,U_6671),throw_list_char(sK986(U_6674,U_6673,U_6672,U_6671,U_6670,U_6669))),U_6669))
    | hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6674,U_6672,sK983(U_6674,U_6673,U_6672,U_6671,U_6670,U_6669)),hAPP_v834067052t_char(val_list_char,sK984(U_6674,U_6673,U_6672,U_6671,U_6670,U_6669))),sK985(U_6674,U_6673,U_6672,U_6671,U_6670,U_6669)))
    | hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6674,U_6673,U_6671),hAPP_v834067052t_char(val_list_char,bool(fFalse))),U_6669))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6674,while_list_char(U_6673,U_6672),U_6671),U_6670),U_6669)) ),
    inference(clausify,[status(thm)],[f_1232_8]) ).

cnf(f_1232_39,plain,
    ( U_6670 = throw_list_char(sK988(U_6674,U_6673,U_6672,U_6671,U_6670,U_6669))
    | U_6670 = throw_list_char(sK986(U_6674,U_6673,U_6672,U_6671,U_6670,U_6669))
    | hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6674,while_list_char(U_6673,U_6672),sK985(U_6674,U_6673,U_6672,U_6671,U_6670,U_6669)),U_6670),U_6669))
    | hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6674,U_6673,U_6671),hAPP_v834067052t_char(val_list_char,bool(fFalse))),U_6669))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6674,while_list_char(U_6673,U_6672),U_6671),U_6670),U_6669)) ),
    inference(clausify,[status(thm)],[f_1232_8]) ).

cnf(f_1232_40,plain,
    ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6674,U_6673,U_6671),hAPP_v834067052t_char(val_list_char,bool(fTrue))),sK987(U_6674,U_6673,U_6672,U_6671,U_6670,U_6669)))
    | U_6670 = throw_list_char(sK986(U_6674,U_6673,U_6672,U_6671,U_6670,U_6669))
    | hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6674,while_list_char(U_6673,U_6672),sK985(U_6674,U_6673,U_6672,U_6671,U_6670,U_6669)),U_6670),U_6669))
    | hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6674,U_6673,U_6671),hAPP_v834067052t_char(val_list_char,bool(fFalse))),U_6669))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6674,while_list_char(U_6673,U_6672),U_6671),U_6670),U_6669)) ),
    inference(clausify,[status(thm)],[f_1232_8]) ).

cnf(f_1232_41,plain,
    ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6674,U_6672,sK987(U_6674,U_6673,U_6672,U_6671,U_6670,U_6669)),throw_list_char(sK988(U_6674,U_6673,U_6672,U_6671,U_6670,U_6669))),U_6669))
    | U_6670 = throw_list_char(sK986(U_6674,U_6673,U_6672,U_6671,U_6670,U_6669))
    | hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6674,while_list_char(U_6673,U_6672),sK985(U_6674,U_6673,U_6672,U_6671,U_6670,U_6669)),U_6670),U_6669))
    | hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6674,U_6673,U_6671),hAPP_v834067052t_char(val_list_char,bool(fFalse))),U_6669))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6674,while_list_char(U_6673,U_6672),U_6671),U_6670),U_6669)) ),
    inference(clausify,[status(thm)],[f_1232_8]) ).

cnf(f_1232_42,plain,
    ( U_6670 = throw_list_char(sK988(U_6674,U_6673,U_6672,U_6671,U_6670,U_6669))
    | hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6674,U_6673,U_6671),throw_list_char(sK986(U_6674,U_6673,U_6672,U_6671,U_6670,U_6669))),U_6669))
    | hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6674,while_list_char(U_6673,U_6672),sK985(U_6674,U_6673,U_6672,U_6671,U_6670,U_6669)),U_6670),U_6669))
    | hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6674,U_6673,U_6671),hAPP_v834067052t_char(val_list_char,bool(fFalse))),U_6669))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6674,while_list_char(U_6673,U_6672),U_6671),U_6670),U_6669)) ),
    inference(clausify,[status(thm)],[f_1232_8]) ).

cnf(f_1232_43,plain,
    ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6674,U_6673,U_6671),hAPP_v834067052t_char(val_list_char,bool(fTrue))),sK987(U_6674,U_6673,U_6672,U_6671,U_6670,U_6669)))
    | hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6674,U_6673,U_6671),throw_list_char(sK986(U_6674,U_6673,U_6672,U_6671,U_6670,U_6669))),U_6669))
    | hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6674,while_list_char(U_6673,U_6672),sK985(U_6674,U_6673,U_6672,U_6671,U_6670,U_6669)),U_6670),U_6669))
    | hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6674,U_6673,U_6671),hAPP_v834067052t_char(val_list_char,bool(fFalse))),U_6669))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6674,while_list_char(U_6673,U_6672),U_6671),U_6670),U_6669)) ),
    inference(clausify,[status(thm)],[f_1232_8]) ).

cnf(f_1232_44,plain,
    ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6674,U_6672,sK987(U_6674,U_6673,U_6672,U_6671,U_6670,U_6669)),throw_list_char(sK988(U_6674,U_6673,U_6672,U_6671,U_6670,U_6669))),U_6669))
    | hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6674,U_6673,U_6671),throw_list_char(sK986(U_6674,U_6673,U_6672,U_6671,U_6670,U_6669))),U_6669))
    | hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6674,while_list_char(U_6673,U_6672),sK985(U_6674,U_6673,U_6672,U_6671,U_6670,U_6669)),U_6670),U_6669))
    | hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6674,U_6673,U_6671),hAPP_v834067052t_char(val_list_char,bool(fFalse))),U_6669))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6674,while_list_char(U_6673,U_6672),U_6671),U_6670),U_6669)) ),
    inference(clausify,[status(thm)],[f_1232_8]) ).

fof(f_1233_1,plain,
    ! [B,C_2,S,Pa] : hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,while_list_char(B,C_2)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cond_list_char(B,seq_list_char(C_2,while_list_char(B,C_2)),hAPP_v834067052t_char(val_list_char,unit))),S))),red(Pa))),
    inference(fof_nnf,[status(thm)],[fact_1091_red__reds_ORedWhile]) ).

fof(f_1233_2,plain,
    ! [U_6678,U_6677,U_6676,U_6675] : hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,while_list_char(U_6678,U_6677)),U_6676)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cond_list_char(U_6678,seq_list_char(U_6677,while_list_char(U_6678,U_6677)),hAPP_v834067052t_char(val_list_char,unit))),U_6676))),red(U_6675))),
    inference(variable_rename,[status(thm)],[f_1233_1]) ).

cnf(f_1233_3,plain,
    hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,while_list_char(U_6678,U_6677)),U_6676)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cond_list_char(U_6678,seq_list_char(U_6677,while_list_char(U_6678,U_6677)),hAPP_v834067052t_char(val_list_char,unit))),U_6676))),red(U_6675))),
    inference(clausify,[status(thm)],[f_1233_2]) ).

fof(f_1234_1,plain,
    ! [E_1_1,E_2,Pa,Eb,S,E_b,S_2] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,cond_list_char(Eb,E_1_1,E_2),S),cond_list_char(E_b,E_1_1,E_2)),S_2))
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Eb,S),E_b),S_2)) ),
    inference(fof_nnf,[status(thm)],[fact_1092_redp__redsp_OCondRed]) ).

fof(f_1234_2,plain,
    ! [U_6685,U_6684,U_6683,U_6682,U_6681,U_6680,U_6679] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(U_6683,cond_list_char(U_6682,U_6685,U_6684),U_6681),cond_list_char(U_6680,U_6685,U_6684)),U_6679))
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(U_6683,U_6682,U_6681),U_6680),U_6679)) ),
    inference(variable_rename,[status(thm)],[f_1234_1]) ).

cnf(f_1234_3,plain,
    ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(U_6683,cond_list_char(U_6682,U_6685,U_6684),U_6681),cond_list_char(U_6680,U_6685,U_6684)),U_6679))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(U_6683,U_6682,U_6681),U_6680),U_6679)) ),
    inference(clausify,[status(thm)],[f_1234_2]) ).

fof(f_1235_1,plain,
    ! [E_1_1,E_2,Pa,Eb,S_0,E_b,S_1] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,cond_list_char(Eb,E_1_1,E_2),S_0),throw_list_char(E_b)),S_1))
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S_0),throw_list_char(E_b)),S_1)) ),
    inference(fof_nnf,[status(thm)],[fact_1093_eval__evals_OCondThrow]) ).

fof(f_1235_2,plain,
    ! [U_6692,U_6691,U_6690,U_6689,U_6688,U_6687,U_6686] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6690,cond_list_char(U_6689,U_6692,U_6691),U_6688),throw_list_char(U_6687)),U_6686))
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6690,U_6689,U_6688),throw_list_char(U_6687)),U_6686)) ),
    inference(variable_rename,[status(thm)],[f_1235_1]) ).

cnf(f_1235_3,plain,
    ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6690,cond_list_char(U_6689,U_6692,U_6691),U_6688),throw_list_char(U_6687)),U_6686))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6690,U_6689,U_6688),throw_list_char(U_6687)),U_6686)) ),
    inference(clausify,[status(thm)],[f_1235_2]) ).

fof(f_1236_1,plain,
    ! [Pa,Eb,E_1_1,E_2,S] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,cond_list_char(throw_list_char(Eb),E_1_1,E_2),S),throw_list_char(Eb)),S)),
    inference(fof_nnf,[status(thm)],[fact_1094_redp__redsp_OCondThrow]) ).

fof(f_1236_2,plain,
    ! [U_6697,U_6696,U_6695,U_6694,U_6693] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(U_6697,cond_list_char(throw_list_char(U_6696),U_6695,U_6694),U_6693),throw_list_char(U_6696)),U_6693)),
    inference(variable_rename,[status(thm)],[f_1236_1]) ).

cnf(f_1236_3,plain,
    hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(U_6697,cond_list_char(throw_list_char(U_6696),U_6695,U_6694),U_6693),throw_list_char(U_6696)),U_6693)),
    inference(clausify,[status(thm)],[f_1236_2]) ).

fof(f_1237_1,plain,
    ! [B,E_1_1,E_2] : fv(cond_list_char(B,E_1_1,E_2)) = semila919158006r_bool(semila919158006r_bool(fv(B),fv(E_1_1)),fv(E_2)),
    inference(fof_nnf,[status(thm)],[fact_1095_fv__fvs_Osimps_I12_J]) ).

fof(f_1237_2,plain,
    ! [U_6700,U_6699,U_6698] : fv(cond_list_char(U_6700,U_6699,U_6698)) = semila919158006r_bool(semila919158006r_bool(fv(U_6700),fv(U_6699)),fv(U_6698)),
    inference(variable_rename,[status(thm)],[f_1237_1]) ).

cnf(f_1237_3,plain,
    fv(cond_list_char(U_6700,U_6699,U_6698)) = semila919158006r_bool(semila919158006r_bool(fv(U_6700),fv(U_6699)),fv(U_6698)),
    inference(clausify,[status(thm)],[f_1237_2]) ).

fof(f_1238_1,plain,
    ! [E_1_1,E_2,Eb,S,E_b,S_2,Pa] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cond_list_char(Eb,E_1_1,E_2)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cond_list_char(E_b,E_1_1,E_2)),S_2))),red(Pa)))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_2))),red(Pa))) ),
    inference(fof_nnf,[status(thm)],[fact_1096_red__reds_OCondRed]) ).

fof(f_1238_2,plain,
    ! [U_6707,U_6706,U_6705,U_6704,U_6703,U_6702,U_6701] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cond_list_char(U_6705,U_6707,U_6706)),U_6704)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cond_list_char(U_6703,U_6707,U_6706)),U_6702))),red(U_6701)))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_6705),U_6704)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_6703),U_6702))),red(U_6701))) ),
    inference(variable_rename,[status(thm)],[f_1238_1]) ).

cnf(f_1238_3,plain,
    ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cond_list_char(U_6705,U_6707,U_6706)),U_6704)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cond_list_char(U_6703,U_6707,U_6706)),U_6702))),red(U_6701)))
    | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_6705),U_6704)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_6703),U_6702))),red(U_6701))) ),
    inference(clausify,[status(thm)],[f_1238_2]) ).

fof(f_1239_1,plain,
    ! [E_1_1,E_2,E_b,S_2_1,Pa,Eb,S_0,S_1] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,cond_list_char(Eb,E_1_1,E_2),S_0),E_b),S_2_1))
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_2,S_1),E_b),S_2_1))
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S_0),hAPP_v834067052t_char(val_list_char,bool(fFalse))),S_1)) ),
    inference(fof_nnf,[status(thm)],[fact_1097_CondF]) ).

fof(f_1239_2,plain,
    ! [U_6715,U_6714,U_6713,U_6712,U_6711,U_6710,U_6709,U_6708] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6711,cond_list_char(U_6710,U_6715,U_6714),U_6709),U_6713),U_6712))
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6711,U_6714,U_6708),U_6713),U_6712))
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6711,U_6710,U_6709),hAPP_v834067052t_char(val_list_char,bool(fFalse))),U_6708)) ),
    inference(variable_rename,[status(thm)],[f_1239_1]) ).

cnf(f_1239_3,plain,
    ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6711,cond_list_char(U_6710,U_6715,U_6714),U_6709),U_6713),U_6712))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6711,U_6714,U_6708),U_6713),U_6712))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6711,U_6710,U_6709),hAPP_v834067052t_char(val_list_char,bool(fFalse))),U_6708)) ),
    inference(clausify,[status(thm)],[f_1239_2]) ).

fof(f_1240_1,plain,
    ! [E_2,E_1_1,E_b,S_2_1,Pa,Eb,S_0,S_1] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,cond_list_char(Eb,E_1_1,E_2),S_0),E_b),S_2_1))
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1_1,S_1),E_b),S_2_1))
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S_0),hAPP_v834067052t_char(val_list_char,bool(fTrue))),S_1)) ),
    inference(fof_nnf,[status(thm)],[fact_1098_CondT]) ).

fof(f_1240_2,plain,
    ! [U_6723,U_6722,U_6721,U_6720,U_6719,U_6718,U_6717,U_6716] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6719,cond_list_char(U_6718,U_6722,U_6723),U_6717),U_6721),U_6720))
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6719,U_6722,U_6716),U_6721),U_6720))
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6719,U_6718,U_6717),hAPP_v834067052t_char(val_list_char,bool(fTrue))),U_6716)) ),
    inference(variable_rename,[status(thm)],[f_1240_1]) ).

cnf(f_1240_3,plain,
    ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6719,cond_list_char(U_6718,U_6722,U_6723),U_6717),U_6721),U_6720))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6719,U_6722,U_6716),U_6721),U_6720))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6719,U_6718,U_6717),hAPP_v834067052t_char(val_list_char,bool(fTrue))),U_6716)) ),
    inference(clausify,[status(thm)],[f_1240_2]) ).

fof(f_1241_1,plain,
    ! [Pa,E_1_1,E_2,S] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,cond_list_char(hAPP_v834067052t_char(val_list_char,bool(fFalse)),E_1_1,E_2),S),E_2),S)),
    inference(fof_nnf,[status(thm)],[fact_1099_redp__redsp_ORedCondF]) ).

fof(f_1241_2,plain,
    ! [U_6727,U_6726,U_6725,U_6724] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(U_6727,cond_list_char(hAPP_v834067052t_char(val_list_char,bool(fFalse)),U_6726,U_6725),U_6724),U_6725),U_6724)),
    inference(variable_rename,[status(thm)],[f_1241_1]) ).

cnf(f_1241_3,plain,
    hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(U_6727,cond_list_char(hAPP_v834067052t_char(val_list_char,bool(fFalse)),U_6726,U_6725),U_6724),U_6725),U_6724)),
    inference(clausify,[status(thm)],[f_1241_2]) ).

fof(f_1242_1,plain,
    ! [Pa,E_1_1,E_2,S] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,cond_list_char(hAPP_v834067052t_char(val_list_char,bool(fTrue)),E_1_1,E_2),S),E_1_1),S)),
    inference(fof_nnf,[status(thm)],[fact_1100_redp__redsp_ORedCondT]) ).

fof(f_1242_2,plain,
    ! [U_6731,U_6730,U_6729,U_6728] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(U_6731,cond_list_char(hAPP_v834067052t_char(val_list_char,bool(fTrue)),U_6730,U_6729),U_6728),U_6730),U_6728)),
    inference(variable_rename,[status(thm)],[f_1242_1]) ).

cnf(f_1242_3,plain,
    hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(U_6731,cond_list_char(hAPP_v834067052t_char(val_list_char,bool(fTrue)),U_6730,U_6729),U_6728),U_6730),U_6728)),
    inference(clausify,[status(thm)],[f_1242_2]) ).

fof(f_1243_1,plain,
    ! [Eb,E_1_1,E_2,S,Pa] : hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cond_list_char(throw_list_char(Eb),E_1_1,E_2)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(Eb)),S))),red(Pa))),
    inference(fof_nnf,[status(thm)],[fact_1101_red__reds_OCondThrow]) ).

fof(f_1243_2,plain,
    ! [U_6736,U_6735,U_6734,U_6733,U_6732] : hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cond_list_char(throw_list_char(U_6736),U_6735,U_6734)),U_6733)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(U_6736)),U_6733))),red(U_6732))),
    inference(variable_rename,[status(thm)],[f_1243_1]) ).

cnf(f_1243_3,plain,
    hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cond_list_char(throw_list_char(U_6736),U_6735,U_6734)),U_6733)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(U_6736)),U_6733))),red(U_6732))),
    inference(clausify,[status(thm)],[f_1243_2]) ).

fof(f_1244_1,plain,
    ! [E_1_1,E_2,Eb,S,E_b,S_2,Pa] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cond_list_char(Eb,E_1_1,E_2)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cond_list_char(E_b,E_1_1,E_2)),S_2))),transi2024712006on_val(red(Pa))))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_2))),transi2024712006on_val(red(Pa)))) ),
    inference(fof_nnf,[status(thm)],[fact_1102_CondReds]) ).

fof(f_1244_2,plain,
    ! [U_6743,U_6742,U_6741,U_6740,U_6739,U_6738,U_6737] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cond_list_char(U_6741,U_6743,U_6742)),U_6740)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cond_list_char(U_6739,U_6743,U_6742)),U_6738))),transi2024712006on_val(red(U_6737))))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_6741),U_6740)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_6739),U_6738))),transi2024712006on_val(red(U_6737)))) ),
    inference(variable_rename,[status(thm)],[f_1244_1]) ).

cnf(f_1244_3,plain,
    ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cond_list_char(U_6741,U_6743,U_6742)),U_6740)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cond_list_char(U_6739,U_6743,U_6742)),U_6738))),transi2024712006on_val(red(U_6737))))
    | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_6741),U_6740)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_6739),U_6738))),transi2024712006on_val(red(U_6737)))) ),
    inference(clausify,[status(thm)],[f_1244_2]) ).

fof(f_1245_1,plain,
    ! [E_1_1,E_2,Eb,S,A,S_2,Pa] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cond_list_char(Eb,E_1_1,E_2)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(A)),S_2))),transi2024712006on_val(red(Pa))))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(A)),S_2))),transi2024712006on_val(red(Pa)))) ),
    inference(fof_nnf,[status(thm)],[fact_1103_CondRedsThrow]) ).

fof(f_1245_2,plain,
    ! [U_6750,U_6749,U_6748,U_6747,U_6746,U_6745,U_6744] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cond_list_char(U_6748,U_6750,U_6749)),U_6747)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(U_6746)),U_6745))),transi2024712006on_val(red(U_6744))))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_6748),U_6747)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(U_6746)),U_6745))),transi2024712006on_val(red(U_6744)))) ),
    inference(variable_rename,[status(thm)],[f_1245_1]) ).

cnf(f_1245_3,plain,
    ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cond_list_char(U_6748,U_6750,U_6749)),U_6747)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(U_6746)),U_6745))),transi2024712006on_val(red(U_6744))))
    | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_6748),U_6747)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(U_6746)),U_6745))),transi2024712006on_val(red(U_6744)))) ),
    inference(clausify,[status(thm)],[f_1245_2]) ).

fof(f_1246_1,plain,
    ! [E_1_1,E_2,S,Pa] : hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cond_list_char(hAPP_v834067052t_char(val_list_char,bool(fTrue)),E_1_1,E_2)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_1_1),S))),red(Pa))),
    inference(fof_nnf,[status(thm)],[fact_1104_red__reds_ORedCondT]) ).

fof(f_1246_2,plain,
    ! [U_6754,U_6753,U_6752,U_6751] : hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cond_list_char(hAPP_v834067052t_char(val_list_char,bool(fTrue)),U_6754,U_6753)),U_6752)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_6754),U_6752))),red(U_6751))),
    inference(variable_rename,[status(thm)],[f_1246_1]) ).

cnf(f_1246_3,plain,
    hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cond_list_char(hAPP_v834067052t_char(val_list_char,bool(fTrue)),U_6754,U_6753)),U_6752)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_6754),U_6752))),red(U_6751))),
    inference(clausify,[status(thm)],[f_1246_2]) ).

fof(f_1247_1,plain,
    ! [E_1_1,E_2,S,Pa] : hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cond_list_char(hAPP_v834067052t_char(val_list_char,bool(fFalse)),E_1_1,E_2)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_2),S))),red(Pa))),
    inference(fof_nnf,[status(thm)],[fact_1105_red__reds_ORedCondF]) ).

fof(f_1247_2,plain,
    ! [U_6758,U_6757,U_6756,U_6755] : hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cond_list_char(hAPP_v834067052t_char(val_list_char,bool(fFalse)),U_6758,U_6757)),U_6756)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_6757),U_6756))),red(U_6755))),
    inference(variable_rename,[status(thm)],[f_1247_1]) ).

cnf(f_1247_3,plain,
    hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cond_list_char(hAPP_v834067052t_char(val_list_char,bool(fFalse)),U_6758,U_6757)),U_6756)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_6757),U_6756))),red(U_6755))),
    inference(clausify,[status(thm)],[f_1247_2]) ).

fof(f_1248_1,plain,
    ! [Pa,B,C_2,S,E_b,S_2] :
      ( ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,while_list_char(B,C_2),S),E_b),S_2))
        | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,cond_list_char(B,seq_list_char(C_2,while_list_char(B,C_2)),hAPP_v834067052t_char(val_list_char,unit)),S),E_b),S_2)) )
      & ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,cond_list_char(B,seq_list_char(C_2,while_list_char(B,C_2)),hAPP_v834067052t_char(val_list_char,unit)),S),E_b),S_2))
        | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,while_list_char(B,C_2),S),E_b),S_2)) ) ),
    inference(fof_nnf,[status(thm)],[fact_1106_unfold__while]) ).

fof(f_1248_2,plain,
    ! [U_6764,U_6763,U_6762,U_6761,U_6760,U_6759] :
      ( ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6764,while_list_char(U_6763,U_6762),U_6761),U_6760),U_6759))
        | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6764,cond_list_char(U_6763,seq_list_char(U_6762,while_list_char(U_6763,U_6762)),hAPP_v834067052t_char(val_list_char,unit)),U_6761),U_6760),U_6759)) )
      & ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6764,cond_list_char(U_6763,seq_list_char(U_6762,while_list_char(U_6763,U_6762)),hAPP_v834067052t_char(val_list_char,unit)),U_6761),U_6760),U_6759))
        | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6764,while_list_char(U_6763,U_6762),U_6761),U_6760),U_6759)) ) ),
    inference(variable_rename,[status(thm)],[f_1248_1]) ).

fof(f_1248_3,plain,
    ( ! [U_6776,U_6774,U_6772,U_6770,U_6768,U_6766] :
        ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6776,while_list_char(U_6774,U_6772),U_6770),U_6768),U_6766))
        | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6776,cond_list_char(U_6774,seq_list_char(U_6772,while_list_char(U_6774,U_6772)),hAPP_v834067052t_char(val_list_char,unit)),U_6770),U_6768),U_6766)) )
    & ! [U_6775,U_6773,U_6771,U_6769,U_6767,U_6765] :
        ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6775,cond_list_char(U_6773,seq_list_char(U_6771,while_list_char(U_6773,U_6771)),hAPP_v834067052t_char(val_list_char,unit)),U_6769),U_6767),U_6765))
        | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6775,while_list_char(U_6773,U_6771),U_6769),U_6767),U_6765)) ) ),
    inference(miniscope,[status(thm)],[f_1248_2]) ).

cnf(f_1248_4,plain,
    ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6775,cond_list_char(U_6773,seq_list_char(U_6771,while_list_char(U_6773,U_6771)),hAPP_v834067052t_char(val_list_char,unit)),U_6769),U_6767),U_6765))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6775,while_list_char(U_6773,U_6771),U_6769),U_6767),U_6765)) ),
    inference(clausify,[status(thm)],[f_1248_3]) ).

cnf(f_1248_5,plain,
    ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6776,while_list_char(U_6774,U_6772),U_6770),U_6768),U_6766))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6776,cond_list_char(U_6774,seq_list_char(U_6772,while_list_char(U_6774,U_6772)),hAPP_v834067052t_char(val_list_char,unit)),U_6770),U_6768),U_6766)) ),
    inference(clausify,[status(thm)],[f_1248_3]) ).

fof(f_1249_1,plain,
    ! [Pa,B,C_2,S] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,while_list_char(B,C_2),S),cond_list_char(B,seq_list_char(C_2,while_list_char(B,C_2)),hAPP_v834067052t_char(val_list_char,unit))),S)),
    inference(fof_nnf,[status(thm)],[fact_1107_redp__redsp_ORedWhile]) ).

fof(f_1249_2,plain,
    ! [U_6780,U_6779,U_6778,U_6777] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(U_6780,while_list_char(U_6779,U_6778),U_6777),cond_list_char(U_6779,seq_list_char(U_6778,while_list_char(U_6779,U_6778)),hAPP_v834067052t_char(val_list_char,unit))),U_6777)),
    inference(variable_rename,[status(thm)],[f_1249_1]) ).

cnf(f_1249_3,plain,
    hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(U_6780,while_list_char(U_6779,U_6778),U_6777),cond_list_char(U_6779,seq_list_char(U_6778,while_list_char(U_6779,U_6778)),hAPP_v834067052t_char(val_list_char,unit))),U_6777)),
    inference(clausify,[status(thm)],[f_1249_2]) ).

fof(f_1250_1,plain,
    ! [E_2,E_1_1,E_b,S_2_1,Eb,S_0,S_1,Pa] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cond_list_char(Eb,E_1_1,E_2)),S_0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_2_1))),transi2024712006on_val(red(Pa))))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_1_1),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_2_1))),transi2024712006on_val(red(Pa))))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S_0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,bool(fTrue))),S_1))),transi2024712006on_val(red(Pa)))) ),
    inference(fof_nnf,[status(thm)],[fact_1108_CondReds2T]) ).

fof(f_1250_2,plain,
    ! [U_6788,U_6787,U_6786,U_6785,U_6784,U_6783,U_6782,U_6781] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cond_list_char(U_6784,U_6787,U_6788)),U_6783)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_6786),U_6785))),transi2024712006on_val(red(U_6781))))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_6787),U_6782)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_6786),U_6785))),transi2024712006on_val(red(U_6781))))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_6784),U_6783)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,bool(fTrue))),U_6782))),transi2024712006on_val(red(U_6781)))) ),
    inference(variable_rename,[status(thm)],[f_1250_1]) ).

cnf(f_1250_3,plain,
    ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cond_list_char(U_6784,U_6787,U_6788)),U_6783)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_6786),U_6785))),transi2024712006on_val(red(U_6781))))
    | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_6787),U_6782)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_6786),U_6785))),transi2024712006on_val(red(U_6781))))
    | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_6784),U_6783)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,bool(fTrue))),U_6782))),transi2024712006on_val(red(U_6781)))) ),
    inference(clausify,[status(thm)],[f_1250_2]) ).

fof(f_1251_1,plain,
    ! [E_1_1,E_2,E_b,S_2_1,Eb,S_0,S_1,Pa] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cond_list_char(Eb,E_1_1,E_2)),S_0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_2_1))),transi2024712006on_val(red(Pa))))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_2),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_2_1))),transi2024712006on_val(red(Pa))))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S_0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,bool(fFalse))),S_1))),transi2024712006on_val(red(Pa)))) ),
    inference(fof_nnf,[status(thm)],[fact_1109_CondReds2F]) ).

fof(f_1251_2,plain,
    ! [U_6796,U_6795,U_6794,U_6793,U_6792,U_6791,U_6790,U_6789] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cond_list_char(U_6792,U_6796,U_6795)),U_6791)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_6794),U_6793))),transi2024712006on_val(red(U_6789))))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_6795),U_6790)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_6794),U_6793))),transi2024712006on_val(red(U_6789))))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_6792),U_6791)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,bool(fFalse))),U_6790))),transi2024712006on_val(red(U_6789)))) ),
    inference(variable_rename,[status(thm)],[f_1251_1]) ).

cnf(f_1251_3,plain,
    ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cond_list_char(U_6792,U_6796,U_6795)),U_6791)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_6794),U_6793))),transi2024712006on_val(red(U_6789))))
    | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_6795),U_6790)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_6794),U_6793))),transi2024712006on_val(red(U_6789))))
    | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_6792),U_6791)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,bool(fFalse))),U_6790))),transi2024712006on_val(red(U_6789)))) ),
    inference(clausify,[status(thm)],[f_1251_2]) ).

fof(f_1252_1,plain,
    ! [List] : nt != hAPP_list_char_ty(class,List),
    inference(fof_nnf,[status(thm)],[fact_1110_ty_Osimps_I20_J]) ).

fof(f_1252_2,plain,
    ! [U_6797] : nt != hAPP_list_char_ty(class,U_6797),
    inference(variable_rename,[status(thm)],[f_1252_1]) ).

cnf(f_1252_3,plain,
    nt != hAPP_list_char_ty(class,U_6797),
    inference(clausify,[status(thm)],[f_1252_2]) ).

fof(f_1253_1,plain,
    ! [List] : hAPP_list_char_ty(class,List) != nt,
    inference(fof_nnf,[status(thm)],[fact_1111_ty_Osimps_I21_J]) ).

fof(f_1253_2,plain,
    ! [U_6798] : hAPP_list_char_ty(class,U_6798) != nt,
    inference(variable_rename,[status(thm)],[f_1253_1]) ).

cnf(f_1253_3,plain,
    hAPP_list_char_ty(class,U_6798) != nt,
    inference(clausify,[status(thm)],[f_1253_2]) ).

fof(f_1254_1,plain,
    nt != void,
    inference(fof_nnf,[status(thm)],[fact_1112_ty_Osimps_I7_J]) ).

cnf(f_1254_2,plain,
    nt != void,
    inference(clausify,[status(thm)],[f_1254_1]) ).

fof(f_1255_1,plain,
    void != nt,
    inference(fof_nnf,[status(thm)],[fact_1113_ty_Osimps_I6_J]) ).

cnf(f_1255_2,plain,
    void != nt,
    inference(clausify,[status(thm)],[f_1255_1]) ).

fof(f_1256_1,plain,
    ! [F,D,Ta,Pa,Hb,Ea,Eb] :
      ( hBOOL(wTrt_1(Pa,Hb,Ea,fAcc_list_char(Eb,F,D),Ta))
      | ~ hBOOL(wTrt_1(Pa,Hb,Ea,Eb,nt)) ),
    inference(fof_nnf,[status(thm)],[fact_1114_WTrtFAccNT]) ).

fof(f_1256_2,plain,
    ! [U_6805,U_6804,U_6803,U_6802,U_6801,U_6800,U_6799] :
      ( hBOOL(wTrt_1(U_6802,U_6801,U_6800,fAcc_list_char(U_6799,U_6805,U_6804),U_6803))
      | ~ hBOOL(wTrt_1(U_6802,U_6801,U_6800,U_6799,nt)) ),
    inference(variable_rename,[status(thm)],[f_1256_1]) ).

cnf(f_1256_3,plain,
    ( hBOOL(wTrt_1(U_6802,U_6801,U_6800,fAcc_list_char(U_6799,U_6805,U_6804),U_6803))
    | ~ hBOOL(wTrt_1(U_6802,U_6801,U_6800,U_6799,nt)) ),
    inference(clausify,[status(thm)],[f_1256_2]) ).

fof(f_1257_1,plain,
    ! [F,D,Ta,Pa,Hb,Ea,Eb] :
      ( hBOOL(wTrt(Pa,Hb,Ea,fAcc_list_char(Eb,F,D),Ta))
      | ~ hBOOL(wTrt(Pa,Hb,Ea,Eb,nt)) ),
    inference(fof_nnf,[status(thm)],[fact_1115_WTrt_H__WTrts_H_Ointros_I9_J]) ).

fof(f_1257_2,plain,
    ! [U_6812,U_6811,U_6810,U_6809,U_6808,U_6807,U_6806] :
      ( hBOOL(wTrt(U_6809,U_6808,U_6807,fAcc_list_char(U_6806,U_6812,U_6811),U_6810))
      | ~ hBOOL(wTrt(U_6809,U_6808,U_6807,U_6806,nt)) ),
    inference(variable_rename,[status(thm)],[f_1257_1]) ).

cnf(f_1257_3,plain,
    ( hBOOL(wTrt(U_6809,U_6808,U_6807,fAcc_list_char(U_6806,U_6812,U_6811),U_6810))
    | ~ hBOOL(wTrt(U_6809,U_6808,U_6807,U_6806,nt)) ),
    inference(clausify,[status(thm)],[f_1257_2]) ).

fof(f_1258_1,plain,
    ! [Ta] :
      ( ( hBOOL(is_refT(Ta))
        | ( ! [C_1] : Ta != hAPP_list_char_ty(class,C_1)
          & Ta != nt ) )
      & ( ? [C_1] : Ta = hAPP_list_char_ty(class,C_1)
        | Ta = nt
        | ~ hBOOL(is_refT(Ta)) ) ),
    inference(fof_nnf,[status(thm)],[fact_1116_is__refT__def]) ).

fof(f_1258_2,plain,
    ! [U_6815] :
      ( ( hBOOL(is_refT(U_6815))
        | ( ! [U_6814] : U_6815 != hAPP_list_char_ty(class,U_6814)
          & U_6815 != nt ) )
      & ( ? [U_6813] : U_6815 = hAPP_list_char_ty(class,U_6813)
        | U_6815 = nt
        | ~ hBOOL(is_refT(U_6815)) ) ),
    inference(variable_rename,[status(thm)],[f_1258_1]) ).

fof(f_1258_3,plain,
    ( ! [U_6817] :
        ( hBOOL(is_refT(U_6817))
        | ( ! [U_6814] : U_6817 != hAPP_list_char_ty(class,U_6814)
          & U_6817 != nt ) )
    & ! [U_6816] :
        ( ? [U_6813] : U_6816 = hAPP_list_char_ty(class,U_6813)
        | U_6816 = nt
        | ~ hBOOL(is_refT(U_6816)) ) ),
    inference(miniscope,[status(thm)],[f_1258_2]) ).

fof(f_1258_4,plain,
    ( ! [U_6817] :
        ( hBOOL(is_refT(U_6817))
        | ( ! [U_6814] : U_6817 != hAPP_list_char_ty(class,U_6814)
          & U_6817 != nt ) )
    & ! [U_6816] :
        ( U_6816 = hAPP_list_char_ty(class,sK989(U_6816))
        | U_6816 = nt
        | ~ hBOOL(is_refT(U_6816)) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK989]),skolemize(U_6813,sK989(U_6816))],[f_1258_3]) ).

cnf(f_1258_5,plain,
    ( U_6816 = hAPP_list_char_ty(class,sK989(U_6816))
    | U_6816 = nt
    | ~ hBOOL(is_refT(U_6816)) ),
    inference(clausify,[status(thm)],[f_1258_4]) ).

cnf(f_1258_6,plain,
    ( U_6817 != nt
    | hBOOL(is_refT(U_6817)) ),
    inference(clausify,[status(thm)],[f_1258_4]) ).

cnf(f_1258_7,plain,
    ( U_6817 != hAPP_list_char_ty(class,U_6814)
    | hBOOL(is_refT(U_6817)) ),
    inference(clausify,[status(thm)],[f_1258_4]) ).

fof(f_1259_1,plain,
    ! [F,D,E_2,T_2_2,Pa,Hb,Ea,E_1_1] :
      ( hBOOL(wTrt_1(Pa,Hb,Ea,fAss_list_char(E_1_1,F,D,E_2),void))
      | ~ hBOOL(wTrt_1(Pa,Hb,Ea,E_2,T_2_2))
      | ~ hBOOL(wTrt_1(Pa,Hb,Ea,E_1_1,nt)) ),
    inference(fof_nnf,[status(thm)],[fact_1117_WTrtFAssNT]) ).

fof(f_1259_2,plain,
    ! [U_6825,U_6824,U_6823,U_6822,U_6821,U_6820,U_6819,U_6818] :
      ( hBOOL(wTrt_1(U_6821,U_6820,U_6819,fAss_list_char(U_6818,U_6825,U_6824,U_6823),void))
      | ~ hBOOL(wTrt_1(U_6821,U_6820,U_6819,U_6823,U_6822))
      | ~ hBOOL(wTrt_1(U_6821,U_6820,U_6819,U_6818,nt)) ),
    inference(variable_rename,[status(thm)],[f_1259_1]) ).

cnf(f_1259_3,plain,
    ( hBOOL(wTrt_1(U_6821,U_6820,U_6819,fAss_list_char(U_6818,U_6825,U_6824,U_6823),void))
    | ~ hBOOL(wTrt_1(U_6821,U_6820,U_6819,U_6823,U_6822))
    | ~ hBOOL(wTrt_1(U_6821,U_6820,U_6819,U_6818,nt)) ),
    inference(clausify,[status(thm)],[f_1259_2]) ).

fof(f_1260_1,plain,
    ! [F,D,E_2,T_2_2,Pa,Hb,Ea,E_1_1] :
      ( hBOOL(wTrt(Pa,Hb,Ea,fAss_list_char(E_1_1,F,D,E_2),void))
      | ~ hBOOL(wTrt(Pa,Hb,Ea,E_2,T_2_2))
      | ~ hBOOL(wTrt(Pa,Hb,Ea,E_1_1,nt)) ),
    inference(fof_nnf,[status(thm)],[fact_1118_WTrt_H__WTrts_H_Ointros_I11_J]) ).

fof(f_1260_2,plain,
    ! [U_6833,U_6832,U_6831,U_6830,U_6829,U_6828,U_6827,U_6826] :
      ( hBOOL(wTrt(U_6829,U_6828,U_6827,fAss_list_char(U_6826,U_6833,U_6832,U_6831),void))
      | ~ hBOOL(wTrt(U_6829,U_6828,U_6827,U_6831,U_6830))
      | ~ hBOOL(wTrt(U_6829,U_6828,U_6827,U_6826,nt)) ),
    inference(variable_rename,[status(thm)],[f_1260_1]) ).

cnf(f_1260_3,plain,
    ( hBOOL(wTrt(U_6829,U_6828,U_6827,fAss_list_char(U_6826,U_6833,U_6832,U_6831),void))
    | ~ hBOOL(wTrt(U_6829,U_6828,U_6827,U_6831,U_6830))
    | ~ hBOOL(wTrt(U_6829,U_6828,U_6827,U_6826,nt)) ),
    inference(clausify,[status(thm)],[f_1260_2]) ).

fof(f_1261_1,plain,
    ! [Hb] : hAPP_val_option_ty(typeof_h(Hb),null) = hAPP_ty_option_ty(some_ty,nt),
    inference(fof_nnf,[status(thm)],[fact_1119_typeof__h_Osimps_I2_J]) ).

fof(f_1261_2,plain,
    ! [U_6834] : hAPP_val_option_ty(typeof_h(U_6834),null) = hAPP_ty_option_ty(some_ty,nt),
    inference(variable_rename,[status(thm)],[f_1261_1]) ).

cnf(f_1261_3,plain,
    hAPP_val_option_ty(typeof_h(U_6834),null) = hAPP_ty_option_ty(some_ty,nt),
    inference(clausify,[status(thm)],[f_1261_2]) ).

fof(f_1262_1,plain,
    ! [Pa,Hb,Ea,Eb,F,D,Ta] :
      ( hBOOL(wTrt_1(Pa,Hb,Ea,Eb,nt))
      | ? [C_1] :
          ( hBOOL(hAPP_list_char_bool(has_fi1183600461t_char(Pa,C_1,F,Ta),D))
          & hBOOL(wTrt_1(Pa,Hb,Ea,Eb,hAPP_list_char_ty(class,C_1))) )
      | ~ hBOOL(wTrt_1(Pa,Hb,Ea,fAcc_list_char(Eb,F,D),Ta)) ),
    inference(fof_nnf,[status(thm)],[fact_1120_WTrt__elim__cases_I7_J]) ).

fof(f_1262_2,plain,
    ! [U_6842,U_6841,U_6840,U_6839,U_6838,U_6837,U_6836] :
      ( hBOOL(wTrt_1(U_6842,U_6841,U_6840,U_6839,nt))
      | ? [U_6835] :
          ( hBOOL(hAPP_list_char_bool(has_fi1183600461t_char(U_6842,U_6835,U_6838,U_6836),U_6837))
          & hBOOL(wTrt_1(U_6842,U_6841,U_6840,U_6839,hAPP_list_char_ty(class,U_6835))) )
      | ~ hBOOL(wTrt_1(U_6842,U_6841,U_6840,fAcc_list_char(U_6839,U_6838,U_6837),U_6836)) ),
    inference(variable_rename,[status(thm)],[f_1262_1]) ).

fof(f_1262_3,plain,
    ! [U_6842,U_6841,U_6840,U_6839,U_6838,U_6837,U_6836] :
      ( hBOOL(wTrt_1(U_6842,U_6841,U_6840,U_6839,nt))
      | ( hBOOL(hAPP_list_char_bool(has_fi1183600461t_char(U_6842,sK990(U_6842,U_6841,U_6840,U_6839,U_6838,U_6837,U_6836),U_6838,U_6836),U_6837))
        & hBOOL(wTrt_1(U_6842,U_6841,U_6840,U_6839,hAPP_list_char_ty(class,sK990(U_6842,U_6841,U_6840,U_6839,U_6838,U_6837,U_6836)))) )
      | ~ hBOOL(wTrt_1(U_6842,U_6841,U_6840,fAcc_list_char(U_6839,U_6838,U_6837),U_6836)) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK990]),skolemize(U_6835,sK990(U_6842,U_6841,U_6840,U_6839,U_6838,U_6837,U_6836))],[f_1262_2]) ).

cnf(f_1262_4,plain,
    ( hBOOL(wTrt_1(U_6842,U_6841,U_6840,U_6839,hAPP_list_char_ty(class,sK990(U_6842,U_6841,U_6840,U_6839,U_6838,U_6837,U_6836))))
    | hBOOL(wTrt_1(U_6842,U_6841,U_6840,U_6839,nt))
    | ~ hBOOL(wTrt_1(U_6842,U_6841,U_6840,fAcc_list_char(U_6839,U_6838,U_6837),U_6836)) ),
    inference(clausify,[status(thm)],[f_1262_3]) ).

cnf(f_1262_5,plain,
    ( hBOOL(hAPP_list_char_bool(has_fi1183600461t_char(U_6842,sK990(U_6842,U_6841,U_6840,U_6839,U_6838,U_6837,U_6836),U_6838,U_6836),U_6837))
    | hBOOL(wTrt_1(U_6842,U_6841,U_6840,U_6839,nt))
    | ~ hBOOL(wTrt_1(U_6842,U_6841,U_6840,fAcc_list_char(U_6839,U_6838,U_6837),U_6836)) ),
    inference(clausify,[status(thm)],[f_1262_3]) ).

fof(f_1263_1,plain,
    ! [Pa,Hb,Ea,Eb,F,D,Va,Ta] :
      ( ( ? [T_2_1] : hBOOL(wTrt_1(Pa,Hb,Ea,Va,T_2_1))
        & hBOOL(wTrt_1(Pa,Hb,Ea,Eb,nt))
        & Ta = void )
      | ( ? [C_1] :
            ( ? [T_4] :
                ( ? [T_2_1] :
                    ( hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(Pa),T_2_1),T_4))
                    & hBOOL(wTrt_1(Pa,Hb,Ea,Va,T_2_1)) )
                & hBOOL(hAPP_list_char_bool(has_fi1183600461t_char(Pa,C_1,F,T_4),D)) )
            & hBOOL(wTrt_1(Pa,Hb,Ea,Eb,hAPP_list_char_ty(class,C_1))) )
        & Ta = void )
      | ~ hBOOL(wTrt_1(Pa,Hb,Ea,fAss_list_char(Eb,F,D,Va),Ta)) ),
    inference(fof_nnf,[status(thm)],[fact_1121_WTrt__elim__cases_I8_J]) ).

fof(f_1263_2,plain,
    ! [U_6854,U_6853,U_6852,U_6851,U_6850,U_6849,U_6848,U_6847] :
      ( ( ? [U_6846] : hBOOL(wTrt_1(U_6854,U_6853,U_6852,U_6848,U_6846))
        & hBOOL(wTrt_1(U_6854,U_6853,U_6852,U_6851,nt))
        & U_6847 = void )
      | ( ? [U_6845] :
            ( ? [U_6844] :
                ( ? [U_6843] :
                    ( hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(U_6854),U_6843),U_6844))
                    & hBOOL(wTrt_1(U_6854,U_6853,U_6852,U_6848,U_6843)) )
                & hBOOL(hAPP_list_char_bool(has_fi1183600461t_char(U_6854,U_6845,U_6850,U_6844),U_6849)) )
            & hBOOL(wTrt_1(U_6854,U_6853,U_6852,U_6851,hAPP_list_char_ty(class,U_6845))) )
        & U_6847 = void )
      | ~ hBOOL(wTrt_1(U_6854,U_6853,U_6852,fAss_list_char(U_6851,U_6850,U_6849,U_6848),U_6847)) ),
    inference(variable_rename,[status(thm)],[f_1263_1]) ).

fof(f_1263_3,plain,
    ! [U_6854,U_6853,U_6852,U_6851,U_6850,U_6849,U_6848,U_6847] :
      ( ( ? [U_6846] : hBOOL(wTrt_1(U_6854,U_6853,U_6852,U_6848,U_6846))
        & hBOOL(wTrt_1(U_6854,U_6853,U_6852,U_6851,nt))
        & U_6847 = void )
      | ( ? [U_6844] :
            ( ? [U_6843] :
                ( hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(U_6854),U_6843),U_6844))
                & hBOOL(wTrt_1(U_6854,U_6853,U_6852,U_6848,U_6843)) )
            & hBOOL(hAPP_list_char_bool(has_fi1183600461t_char(U_6854,sK991(U_6854,U_6853,U_6852,U_6851,U_6850,U_6849,U_6848,U_6847),U_6850,U_6844),U_6849)) )
        & hBOOL(wTrt_1(U_6854,U_6853,U_6852,U_6851,hAPP_list_char_ty(class,sK991(U_6854,U_6853,U_6852,U_6851,U_6850,U_6849,U_6848,U_6847))))
        & U_6847 = void )
      | ~ hBOOL(wTrt_1(U_6854,U_6853,U_6852,fAss_list_char(U_6851,U_6850,U_6849,U_6848),U_6847)) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK991]),skolemize(U_6845,sK991(U_6854,U_6853,U_6852,U_6851,U_6850,U_6849,U_6848,U_6847))],[f_1263_2]) ).

fof(f_1263_4,plain,
    ! [U_6854,U_6853,U_6852,U_6851,U_6850,U_6849,U_6848,U_6847] :
      ( ( ? [U_6846] : hBOOL(wTrt_1(U_6854,U_6853,U_6852,U_6848,U_6846))
        & hBOOL(wTrt_1(U_6854,U_6853,U_6852,U_6851,nt))
        & U_6847 = void )
      | ( ? [U_6843] :
            ( hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(U_6854),U_6843),sK992(U_6854,U_6853,U_6852,U_6851,U_6850,U_6849,U_6848,U_6847)))
            & hBOOL(wTrt_1(U_6854,U_6853,U_6852,U_6848,U_6843)) )
        & hBOOL(hAPP_list_char_bool(has_fi1183600461t_char(U_6854,sK991(U_6854,U_6853,U_6852,U_6851,U_6850,U_6849,U_6848,U_6847),U_6850,sK992(U_6854,U_6853,U_6852,U_6851,U_6850,U_6849,U_6848,U_6847)),U_6849))
        & hBOOL(wTrt_1(U_6854,U_6853,U_6852,U_6851,hAPP_list_char_ty(class,sK991(U_6854,U_6853,U_6852,U_6851,U_6850,U_6849,U_6848,U_6847))))
        & U_6847 = void )
      | ~ hBOOL(wTrt_1(U_6854,U_6853,U_6852,fAss_list_char(U_6851,U_6850,U_6849,U_6848),U_6847)) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK992]),skolemize(U_6844,sK992(U_6854,U_6853,U_6852,U_6851,U_6850,U_6849,U_6848,U_6847))],[f_1263_3]) ).

fof(f_1263_5,plain,
    ! [U_6854,U_6853,U_6852,U_6851,U_6850,U_6849,U_6848,U_6847] :
      ( ( ? [U_6846] : hBOOL(wTrt_1(U_6854,U_6853,U_6852,U_6848,U_6846))
        & hBOOL(wTrt_1(U_6854,U_6853,U_6852,U_6851,nt))
        & U_6847 = void )
      | ( hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(U_6854),sK993(U_6854,U_6853,U_6852,U_6851,U_6850,U_6849,U_6848,U_6847)),sK992(U_6854,U_6853,U_6852,U_6851,U_6850,U_6849,U_6848,U_6847)))
        & hBOOL(wTrt_1(U_6854,U_6853,U_6852,U_6848,sK993(U_6854,U_6853,U_6852,U_6851,U_6850,U_6849,U_6848,U_6847)))
        & hBOOL(hAPP_list_char_bool(has_fi1183600461t_char(U_6854,sK991(U_6854,U_6853,U_6852,U_6851,U_6850,U_6849,U_6848,U_6847),U_6850,sK992(U_6854,U_6853,U_6852,U_6851,U_6850,U_6849,U_6848,U_6847)),U_6849))
        & hBOOL(wTrt_1(U_6854,U_6853,U_6852,U_6851,hAPP_list_char_ty(class,sK991(U_6854,U_6853,U_6852,U_6851,U_6850,U_6849,U_6848,U_6847))))
        & U_6847 = void )
      | ~ hBOOL(wTrt_1(U_6854,U_6853,U_6852,fAss_list_char(U_6851,U_6850,U_6849,U_6848),U_6847)) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK993]),skolemize(U_6843,sK993(U_6854,U_6853,U_6852,U_6851,U_6850,U_6849,U_6848,U_6847))],[f_1263_4]) ).

fof(f_1263_6,plain,
    ! [U_6854,U_6853,U_6852,U_6851,U_6850,U_6849,U_6848,U_6847] :
      ( ( hBOOL(wTrt_1(U_6854,U_6853,U_6852,U_6848,sK994(U_6854,U_6853,U_6852,U_6851,U_6850,U_6849,U_6848,U_6847)))
        & hBOOL(wTrt_1(U_6854,U_6853,U_6852,U_6851,nt))
        & U_6847 = void )
      | ( hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(U_6854),sK993(U_6854,U_6853,U_6852,U_6851,U_6850,U_6849,U_6848,U_6847)),sK992(U_6854,U_6853,U_6852,U_6851,U_6850,U_6849,U_6848,U_6847)))
        & hBOOL(wTrt_1(U_6854,U_6853,U_6852,U_6848,sK993(U_6854,U_6853,U_6852,U_6851,U_6850,U_6849,U_6848,U_6847)))
        & hBOOL(hAPP_list_char_bool(has_fi1183600461t_char(U_6854,sK991(U_6854,U_6853,U_6852,U_6851,U_6850,U_6849,U_6848,U_6847),U_6850,sK992(U_6854,U_6853,U_6852,U_6851,U_6850,U_6849,U_6848,U_6847)),U_6849))
        & hBOOL(wTrt_1(U_6854,U_6853,U_6852,U_6851,hAPP_list_char_ty(class,sK991(U_6854,U_6853,U_6852,U_6851,U_6850,U_6849,U_6848,U_6847))))
        & U_6847 = void )
      | ~ hBOOL(wTrt_1(U_6854,U_6853,U_6852,fAss_list_char(U_6851,U_6850,U_6849,U_6848),U_6847)) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK994]),skolemize(U_6846,sK994(U_6854,U_6853,U_6852,U_6851,U_6850,U_6849,U_6848,U_6847))],[f_1263_5]) ).

cnf(f_1263_7,plain,
    ( U_6847 = void
    | U_6847 = void
    | ~ hBOOL(wTrt_1(U_6854,U_6853,U_6852,fAss_list_char(U_6851,U_6850,U_6849,U_6848),U_6847)) ),
    inference(clausify,[status(thm)],[f_1263_6]) ).

cnf(f_1263_8,plain,
    ( hBOOL(wTrt_1(U_6854,U_6853,U_6852,U_6851,nt))
    | U_6847 = void
    | ~ hBOOL(wTrt_1(U_6854,U_6853,U_6852,fAss_list_char(U_6851,U_6850,U_6849,U_6848),U_6847)) ),
    inference(clausify,[status(thm)],[f_1263_6]) ).

cnf(f_1263_9,plain,
    ( hBOOL(wTrt_1(U_6854,U_6853,U_6852,U_6848,sK994(U_6854,U_6853,U_6852,U_6851,U_6850,U_6849,U_6848,U_6847)))
    | U_6847 = void
    | ~ hBOOL(wTrt_1(U_6854,U_6853,U_6852,fAss_list_char(U_6851,U_6850,U_6849,U_6848),U_6847)) ),
    inference(clausify,[status(thm)],[f_1263_6]) ).

cnf(f_1263_10,plain,
    ( hBOOL(wTrt_1(U_6854,U_6853,U_6852,U_6851,hAPP_list_char_ty(class,sK991(U_6854,U_6853,U_6852,U_6851,U_6850,U_6849,U_6848,U_6847))))
    | U_6847 = void
    | ~ hBOOL(wTrt_1(U_6854,U_6853,U_6852,fAss_list_char(U_6851,U_6850,U_6849,U_6848),U_6847)) ),
    inference(clausify,[status(thm)],[f_1263_6]) ).

cnf(f_1263_11,plain,
    ( hBOOL(hAPP_list_char_bool(has_fi1183600461t_char(U_6854,sK991(U_6854,U_6853,U_6852,U_6851,U_6850,U_6849,U_6848,U_6847),U_6850,sK992(U_6854,U_6853,U_6852,U_6851,U_6850,U_6849,U_6848,U_6847)),U_6849))
    | U_6847 = void
    | ~ hBOOL(wTrt_1(U_6854,U_6853,U_6852,fAss_list_char(U_6851,U_6850,U_6849,U_6848),U_6847)) ),
    inference(clausify,[status(thm)],[f_1263_6]) ).

cnf(f_1263_12,plain,
    ( hBOOL(wTrt_1(U_6854,U_6853,U_6852,U_6848,sK993(U_6854,U_6853,U_6852,U_6851,U_6850,U_6849,U_6848,U_6847)))
    | U_6847 = void
    | ~ hBOOL(wTrt_1(U_6854,U_6853,U_6852,fAss_list_char(U_6851,U_6850,U_6849,U_6848),U_6847)) ),
    inference(clausify,[status(thm)],[f_1263_6]) ).

cnf(f_1263_13,plain,
    ( hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(U_6854),sK993(U_6854,U_6853,U_6852,U_6851,U_6850,U_6849,U_6848,U_6847)),sK992(U_6854,U_6853,U_6852,U_6851,U_6850,U_6849,U_6848,U_6847)))
    | U_6847 = void
    | ~ hBOOL(wTrt_1(U_6854,U_6853,U_6852,fAss_list_char(U_6851,U_6850,U_6849,U_6848),U_6847)) ),
    inference(clausify,[status(thm)],[f_1263_6]) ).

cnf(f_1263_14,plain,
    ( hBOOL(wTrt_1(U_6854,U_6853,U_6852,U_6851,nt))
    | hBOOL(wTrt_1(U_6854,U_6853,U_6852,U_6851,hAPP_list_char_ty(class,sK991(U_6854,U_6853,U_6852,U_6851,U_6850,U_6849,U_6848,U_6847))))
    | ~ hBOOL(wTrt_1(U_6854,U_6853,U_6852,fAss_list_char(U_6851,U_6850,U_6849,U_6848),U_6847)) ),
    inference(clausify,[status(thm)],[f_1263_6]) ).

cnf(f_1263_15,plain,
    ( hBOOL(wTrt_1(U_6854,U_6853,U_6852,U_6848,sK994(U_6854,U_6853,U_6852,U_6851,U_6850,U_6849,U_6848,U_6847)))
    | hBOOL(wTrt_1(U_6854,U_6853,U_6852,U_6851,hAPP_list_char_ty(class,sK991(U_6854,U_6853,U_6852,U_6851,U_6850,U_6849,U_6848,U_6847))))
    | ~ hBOOL(wTrt_1(U_6854,U_6853,U_6852,fAss_list_char(U_6851,U_6850,U_6849,U_6848),U_6847)) ),
    inference(clausify,[status(thm)],[f_1263_6]) ).

cnf(f_1263_16,plain,
    ( hBOOL(hAPP_list_char_bool(has_fi1183600461t_char(U_6854,sK991(U_6854,U_6853,U_6852,U_6851,U_6850,U_6849,U_6848,U_6847),U_6850,sK992(U_6854,U_6853,U_6852,U_6851,U_6850,U_6849,U_6848,U_6847)),U_6849))
    | hBOOL(wTrt_1(U_6854,U_6853,U_6852,U_6851,nt))
    | ~ hBOOL(wTrt_1(U_6854,U_6853,U_6852,fAss_list_char(U_6851,U_6850,U_6849,U_6848),U_6847)) ),
    inference(clausify,[status(thm)],[f_1263_6]) ).

cnf(f_1263_17,plain,
    ( hBOOL(wTrt_1(U_6854,U_6853,U_6852,U_6848,sK993(U_6854,U_6853,U_6852,U_6851,U_6850,U_6849,U_6848,U_6847)))
    | hBOOL(wTrt_1(U_6854,U_6853,U_6852,U_6851,nt))
    | ~ hBOOL(wTrt_1(U_6854,U_6853,U_6852,fAss_list_char(U_6851,U_6850,U_6849,U_6848),U_6847)) ),
    inference(clausify,[status(thm)],[f_1263_6]) ).

cnf(f_1263_18,plain,
    ( hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(U_6854),sK993(U_6854,U_6853,U_6852,U_6851,U_6850,U_6849,U_6848,U_6847)),sK992(U_6854,U_6853,U_6852,U_6851,U_6850,U_6849,U_6848,U_6847)))
    | hBOOL(wTrt_1(U_6854,U_6853,U_6852,U_6851,nt))
    | ~ hBOOL(wTrt_1(U_6854,U_6853,U_6852,fAss_list_char(U_6851,U_6850,U_6849,U_6848),U_6847)) ),
    inference(clausify,[status(thm)],[f_1263_6]) ).

cnf(f_1263_19,plain,
    ( hBOOL(hAPP_list_char_bool(has_fi1183600461t_char(U_6854,sK991(U_6854,U_6853,U_6852,U_6851,U_6850,U_6849,U_6848,U_6847),U_6850,sK992(U_6854,U_6853,U_6852,U_6851,U_6850,U_6849,U_6848,U_6847)),U_6849))
    | hBOOL(wTrt_1(U_6854,U_6853,U_6852,U_6848,sK994(U_6854,U_6853,U_6852,U_6851,U_6850,U_6849,U_6848,U_6847)))
    | ~ hBOOL(wTrt_1(U_6854,U_6853,U_6852,fAss_list_char(U_6851,U_6850,U_6849,U_6848),U_6847)) ),
    inference(clausify,[status(thm)],[f_1263_6]) ).

cnf(f_1263_20,plain,
    ( hBOOL(wTrt_1(U_6854,U_6853,U_6852,U_6848,sK993(U_6854,U_6853,U_6852,U_6851,U_6850,U_6849,U_6848,U_6847)))
    | hBOOL(wTrt_1(U_6854,U_6853,U_6852,U_6848,sK994(U_6854,U_6853,U_6852,U_6851,U_6850,U_6849,U_6848,U_6847)))
    | ~ hBOOL(wTrt_1(U_6854,U_6853,U_6852,fAss_list_char(U_6851,U_6850,U_6849,U_6848),U_6847)) ),
    inference(clausify,[status(thm)],[f_1263_6]) ).

cnf(f_1263_21,plain,
    ( hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(U_6854),sK993(U_6854,U_6853,U_6852,U_6851,U_6850,U_6849,U_6848,U_6847)),sK992(U_6854,U_6853,U_6852,U_6851,U_6850,U_6849,U_6848,U_6847)))
    | hBOOL(wTrt_1(U_6854,U_6853,U_6852,U_6848,sK994(U_6854,U_6853,U_6852,U_6851,U_6850,U_6849,U_6848,U_6847)))
    | ~ hBOOL(wTrt_1(U_6854,U_6853,U_6852,fAss_list_char(U_6851,U_6850,U_6849,U_6848),U_6847)) ),
    inference(clausify,[status(thm)],[f_1263_6]) ).

fof(f_1264_1,plain,
    ! [T] :
      ( ? [C_1] : T = hAPP_list_char_ty(class,C_1)
      | T = nt
      | ~ hBOOL(is_refT(T)) ),
    inference(fof_nnf,[status(thm)],[fact_1122_refTE]) ).

fof(f_1264_2,plain,
    ! [U_6856] :
      ( ? [U_6855] : U_6856 = hAPP_list_char_ty(class,U_6855)
      | U_6856 = nt
      | ~ hBOOL(is_refT(U_6856)) ),
    inference(variable_rename,[status(thm)],[f_1264_1]) ).

fof(f_1264_3,plain,
    ! [U_6856] :
      ( U_6856 = hAPP_list_char_ty(class,sK995(U_6856))
      | U_6856 = nt
      | ~ hBOOL(is_refT(U_6856)) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK995]),skolemize(U_6855,sK995(U_6856))],[f_1264_2]) ).

cnf(f_1264_4,plain,
    ( U_6856 = hAPP_list_char_ty(class,sK995(U_6856))
    | U_6856 = nt
    | ~ hBOOL(is_refT(U_6856)) ),
    inference(clausify,[status(thm)],[f_1264_3]) ).

fof(f_1265_1,plain,
    ! [Pa,Eb,E_1_1,E_2,S,E_b,S_2] :
      ( ? [E_1] :
          ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S),throw_list_char(E_1)),S_2))
          & E_b = throw_list_char(E_1) )
      | ? [S_1_1] :
          ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_2,S_1_1),E_b),S_2))
          & hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S),hAPP_v834067052t_char(val_list_char,bool(fFalse))),S_1_1)) )
      | ? [S_1_1] :
          ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1_1,S_1_1),E_b),S_2))
          & hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S),hAPP_v834067052t_char(val_list_char,bool(fTrue))),S_1_1)) )
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,cond_list_char(Eb,E_1_1,E_2),S),E_b),S_2)) ),
    inference(fof_nnf,[status(thm)],[fact_1123_eval__cases_I10_J]) ).

fof(f_1265_2,plain,
    ! [U_6866,U_6865,U_6864,U_6863,U_6862,U_6861,U_6860] :
      ( ? [U_6859] :
          ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6866,U_6865,U_6862),throw_list_char(U_6859)),U_6860))
          & U_6861 = throw_list_char(U_6859) )
      | ? [U_6858] :
          ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6866,U_6863,U_6858),U_6861),U_6860))
          & hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6866,U_6865,U_6862),hAPP_v834067052t_char(val_list_char,bool(fFalse))),U_6858)) )
      | ? [U_6857] :
          ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6866,U_6864,U_6857),U_6861),U_6860))
          & hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6866,U_6865,U_6862),hAPP_v834067052t_char(val_list_char,bool(fTrue))),U_6857)) )
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6866,cond_list_char(U_6865,U_6864,U_6863),U_6862),U_6861),U_6860)) ),
    inference(variable_rename,[status(thm)],[f_1265_1]) ).

fof(f_1265_3,plain,
    ! [U_6866,U_6865,U_6864,U_6863,U_6862,U_6861,U_6860] :
      ( ? [U_6859] :
          ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6866,U_6865,U_6862),throw_list_char(U_6859)),U_6860))
          & U_6861 = throw_list_char(U_6859) )
      | ? [U_6858] :
          ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6866,U_6863,U_6858),U_6861),U_6860))
          & hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6866,U_6865,U_6862),hAPP_v834067052t_char(val_list_char,bool(fFalse))),U_6858)) )
      | ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6866,U_6864,sK996(U_6866,U_6865,U_6864,U_6863,U_6862,U_6861,U_6860)),U_6861),U_6860))
        & hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6866,U_6865,U_6862),hAPP_v834067052t_char(val_list_char,bool(fTrue))),sK996(U_6866,U_6865,U_6864,U_6863,U_6862,U_6861,U_6860))) )
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6866,cond_list_char(U_6865,U_6864,U_6863),U_6862),U_6861),U_6860)) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK996]),skolemize(U_6857,sK996(U_6866,U_6865,U_6864,U_6863,U_6862,U_6861,U_6860))],[f_1265_2]) ).

fof(f_1265_4,plain,
    ! [U_6866,U_6865,U_6864,U_6863,U_6862,U_6861,U_6860] :
      ( ? [U_6859] :
          ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6866,U_6865,U_6862),throw_list_char(U_6859)),U_6860))
          & U_6861 = throw_list_char(U_6859) )
      | ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6866,U_6863,sK997(U_6866,U_6865,U_6864,U_6863,U_6862,U_6861,U_6860)),U_6861),U_6860))
        & hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6866,U_6865,U_6862),hAPP_v834067052t_char(val_list_char,bool(fFalse))),sK997(U_6866,U_6865,U_6864,U_6863,U_6862,U_6861,U_6860))) )
      | ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6866,U_6864,sK996(U_6866,U_6865,U_6864,U_6863,U_6862,U_6861,U_6860)),U_6861),U_6860))
        & hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6866,U_6865,U_6862),hAPP_v834067052t_char(val_list_char,bool(fTrue))),sK996(U_6866,U_6865,U_6864,U_6863,U_6862,U_6861,U_6860))) )
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6866,cond_list_char(U_6865,U_6864,U_6863),U_6862),U_6861),U_6860)) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK997]),skolemize(U_6858,sK997(U_6866,U_6865,U_6864,U_6863,U_6862,U_6861,U_6860))],[f_1265_3]) ).

fof(f_1265_5,plain,
    ! [U_6866,U_6865,U_6864,U_6863,U_6862,U_6861,U_6860] :
      ( ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6866,U_6865,U_6862),throw_list_char(sK998(U_6866,U_6865,U_6864,U_6863,U_6862,U_6861,U_6860))),U_6860))
        & U_6861 = throw_list_char(sK998(U_6866,U_6865,U_6864,U_6863,U_6862,U_6861,U_6860)) )
      | ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6866,U_6863,sK997(U_6866,U_6865,U_6864,U_6863,U_6862,U_6861,U_6860)),U_6861),U_6860))
        & hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6866,U_6865,U_6862),hAPP_v834067052t_char(val_list_char,bool(fFalse))),sK997(U_6866,U_6865,U_6864,U_6863,U_6862,U_6861,U_6860))) )
      | ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6866,U_6864,sK996(U_6866,U_6865,U_6864,U_6863,U_6862,U_6861,U_6860)),U_6861),U_6860))
        & hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6866,U_6865,U_6862),hAPP_v834067052t_char(val_list_char,bool(fTrue))),sK996(U_6866,U_6865,U_6864,U_6863,U_6862,U_6861,U_6860))) )
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6866,cond_list_char(U_6865,U_6864,U_6863),U_6862),U_6861),U_6860)) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK998]),skolemize(U_6859,sK998(U_6866,U_6865,U_6864,U_6863,U_6862,U_6861,U_6860))],[f_1265_4]) ).

cnf(f_1265_6,plain,
    ( U_6861 = throw_list_char(sK998(U_6866,U_6865,U_6864,U_6863,U_6862,U_6861,U_6860))
    | hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6866,U_6865,U_6862),hAPP_v834067052t_char(val_list_char,bool(fFalse))),sK997(U_6866,U_6865,U_6864,U_6863,U_6862,U_6861,U_6860)))
    | hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6866,U_6865,U_6862),hAPP_v834067052t_char(val_list_char,bool(fTrue))),sK996(U_6866,U_6865,U_6864,U_6863,U_6862,U_6861,U_6860)))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6866,cond_list_char(U_6865,U_6864,U_6863),U_6862),U_6861),U_6860)) ),
    inference(clausify,[status(thm)],[f_1265_5]) ).

cnf(f_1265_7,plain,
    ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6866,U_6865,U_6862),throw_list_char(sK998(U_6866,U_6865,U_6864,U_6863,U_6862,U_6861,U_6860))),U_6860))
    | hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6866,U_6865,U_6862),hAPP_v834067052t_char(val_list_char,bool(fFalse))),sK997(U_6866,U_6865,U_6864,U_6863,U_6862,U_6861,U_6860)))
    | hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6866,U_6865,U_6862),hAPP_v834067052t_char(val_list_char,bool(fTrue))),sK996(U_6866,U_6865,U_6864,U_6863,U_6862,U_6861,U_6860)))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6866,cond_list_char(U_6865,U_6864,U_6863),U_6862),U_6861),U_6860)) ),
    inference(clausify,[status(thm)],[f_1265_5]) ).

cnf(f_1265_8,plain,
    ( U_6861 = throw_list_char(sK998(U_6866,U_6865,U_6864,U_6863,U_6862,U_6861,U_6860))
    | hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6866,U_6863,sK997(U_6866,U_6865,U_6864,U_6863,U_6862,U_6861,U_6860)),U_6861),U_6860))
    | hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6866,U_6865,U_6862),hAPP_v834067052t_char(val_list_char,bool(fTrue))),sK996(U_6866,U_6865,U_6864,U_6863,U_6862,U_6861,U_6860)))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6866,cond_list_char(U_6865,U_6864,U_6863),U_6862),U_6861),U_6860)) ),
    inference(clausify,[status(thm)],[f_1265_5]) ).

cnf(f_1265_9,plain,
    ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6866,U_6865,U_6862),throw_list_char(sK998(U_6866,U_6865,U_6864,U_6863,U_6862,U_6861,U_6860))),U_6860))
    | hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6866,U_6863,sK997(U_6866,U_6865,U_6864,U_6863,U_6862,U_6861,U_6860)),U_6861),U_6860))
    | hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6866,U_6865,U_6862),hAPP_v834067052t_char(val_list_char,bool(fTrue))),sK996(U_6866,U_6865,U_6864,U_6863,U_6862,U_6861,U_6860)))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6866,cond_list_char(U_6865,U_6864,U_6863),U_6862),U_6861),U_6860)) ),
    inference(clausify,[status(thm)],[f_1265_5]) ).

cnf(f_1265_10,plain,
    ( U_6861 = throw_list_char(sK998(U_6866,U_6865,U_6864,U_6863,U_6862,U_6861,U_6860))
    | hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6866,U_6865,U_6862),hAPP_v834067052t_char(val_list_char,bool(fFalse))),sK997(U_6866,U_6865,U_6864,U_6863,U_6862,U_6861,U_6860)))
    | hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6866,U_6864,sK996(U_6866,U_6865,U_6864,U_6863,U_6862,U_6861,U_6860)),U_6861),U_6860))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6866,cond_list_char(U_6865,U_6864,U_6863),U_6862),U_6861),U_6860)) ),
    inference(clausify,[status(thm)],[f_1265_5]) ).

cnf(f_1265_11,plain,
    ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6866,U_6865,U_6862),throw_list_char(sK998(U_6866,U_6865,U_6864,U_6863,U_6862,U_6861,U_6860))),U_6860))
    | hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6866,U_6865,U_6862),hAPP_v834067052t_char(val_list_char,bool(fFalse))),sK997(U_6866,U_6865,U_6864,U_6863,U_6862,U_6861,U_6860)))
    | hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6866,U_6864,sK996(U_6866,U_6865,U_6864,U_6863,U_6862,U_6861,U_6860)),U_6861),U_6860))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6866,cond_list_char(U_6865,U_6864,U_6863),U_6862),U_6861),U_6860)) ),
    inference(clausify,[status(thm)],[f_1265_5]) ).

cnf(f_1265_12,plain,
    ( U_6861 = throw_list_char(sK998(U_6866,U_6865,U_6864,U_6863,U_6862,U_6861,U_6860))
    | hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6866,U_6863,sK997(U_6866,U_6865,U_6864,U_6863,U_6862,U_6861,U_6860)),U_6861),U_6860))
    | hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6866,U_6864,sK996(U_6866,U_6865,U_6864,U_6863,U_6862,U_6861,U_6860)),U_6861),U_6860))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6866,cond_list_char(U_6865,U_6864,U_6863),U_6862),U_6861),U_6860)) ),
    inference(clausify,[status(thm)],[f_1265_5]) ).

cnf(f_1265_13,plain,
    ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6866,U_6865,U_6862),throw_list_char(sK998(U_6866,U_6865,U_6864,U_6863,U_6862,U_6861,U_6860))),U_6860))
    | hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6866,U_6863,sK997(U_6866,U_6865,U_6864,U_6863,U_6862,U_6861,U_6860)),U_6861),U_6860))
    | hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6866,U_6864,sK996(U_6866,U_6865,U_6864,U_6863,U_6862,U_6861,U_6860)),U_6861),U_6860))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6866,cond_list_char(U_6865,U_6864,U_6863),U_6862),U_6861),U_6860)) ),
    inference(clausify,[status(thm)],[f_1265_5]) ).

fof(f_1266_1,plain,
    ! [C,Lb,Pa,Hb] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,new_list_char(C)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(outOfMemory))))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb)))),red(Pa)))
      | new_Addr(Hb) != none_nat ),
    inference(fof_nnf,[status(thm)],[fact_1124_red__reds_ORedNewFail]) ).

fof(f_1266_2,plain,
    ! [U_6870,U_6869,U_6868,U_6867] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,new_list_char(U_6870)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_6867),U_6869))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(outOfMemory))))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_6867),U_6869)))),red(U_6868)))
      | new_Addr(U_6867) != none_nat ),
    inference(variable_rename,[status(thm)],[f_1266_1]) ).

cnf(f_1266_3,plain,
    ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,new_list_char(U_6870)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_6867),U_6869))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(outOfMemory))))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_6867),U_6869)))),red(U_6868)))
    | new_Addr(U_6867) != none_nat ),
    inference(clausify,[status(thm)],[f_1266_2]) ).

fof(f_1267_1,plain,
    ! [Hb,Ea,Pa,C] :
      ( hBOOL(wTrt_1(Pa,Hb,Ea,new_list_char(C),hAPP_list_char_ty(class,C)))
      | ~ hBOOL(hAPP_list_char_bool(is_cla570604648t_char(Pa),C)) ),
    inference(fof_nnf,[status(thm)],[fact_1125_WTrtNew]) ).

fof(f_1267_2,plain,
    ! [U_6874,U_6873,U_6872,U_6871] :
      ( hBOOL(wTrt_1(U_6872,U_6874,U_6873,new_list_char(U_6871),hAPP_list_char_ty(class,U_6871)))
      | ~ hBOOL(hAPP_list_char_bool(is_cla570604648t_char(U_6872),U_6871)) ),
    inference(variable_rename,[status(thm)],[f_1267_1]) ).

cnf(f_1267_3,plain,
    ( hBOOL(wTrt_1(U_6872,U_6874,U_6873,new_list_char(U_6871),hAPP_list_char_ty(class,U_6871)))
    | ~ hBOOL(hAPP_list_char_bool(is_cla570604648t_char(U_6872),U_6871)) ),
    inference(clausify,[status(thm)],[f_1267_2]) ).

fof(f_1268_1,plain,
    ! [Pa,Hb,Ea,C,Ta] :
      ( ( hBOOL(hAPP_list_char_bool(is_cla570604648t_char(Pa),C))
        & Ta = hAPP_list_char_ty(class,C) )
      | ~ hBOOL(wTrt_1(Pa,Hb,Ea,new_list_char(C),Ta)) ),
    inference(fof_nnf,[status(thm)],[fact_1126_WTrt__elim__cases_I10_J]) ).

fof(f_1268_2,plain,
    ! [U_6879,U_6878,U_6877,U_6876,U_6875] :
      ( ( hBOOL(hAPP_list_char_bool(is_cla570604648t_char(U_6879),U_6876))
        & U_6875 = hAPP_list_char_ty(class,U_6876) )
      | ~ hBOOL(wTrt_1(U_6879,U_6878,U_6877,new_list_char(U_6876),U_6875)) ),
    inference(variable_rename,[status(thm)],[f_1268_1]) ).

cnf(f_1268_3,plain,
    ( U_6875 = hAPP_list_char_ty(class,U_6876)
    | ~ hBOOL(wTrt_1(U_6879,U_6878,U_6877,new_list_char(U_6876),U_6875)) ),
    inference(clausify,[status(thm)],[f_1268_2]) ).

cnf(f_1268_4,plain,
    ( hBOOL(hAPP_list_char_bool(is_cla570604648t_char(U_6879),U_6876))
    | ~ hBOOL(wTrt_1(U_6879,U_6878,U_6877,new_list_char(U_6876),U_6875)) ),
    inference(clausify,[status(thm)],[f_1268_2]) ).

fof(f_1269_1,plain,
    ! [Hb,A] :
      ( hAPP_n546249108on_val(Hb,A) = none_P179726773on_val
      | new_Addr(Hb) != hAPP_nat_option_nat(some_nat,A) ),
    inference(fof_nnf,[status(thm)],[fact_1127_new__Addr__SomeD]) ).

fof(f_1269_2,plain,
    ! [U_6881,U_6880] :
      ( hAPP_n546249108on_val(U_6881,U_6880) = none_P179726773on_val
      | new_Addr(U_6881) != hAPP_nat_option_nat(some_nat,U_6880) ),
    inference(variable_rename,[status(thm)],[f_1269_1]) ).

cnf(f_1269_3,plain,
    ( hAPP_n546249108on_val(U_6881,U_6880) = none_P179726773on_val
    | new_Addr(U_6881) != hAPP_nat_option_nat(some_nat,U_6880) ),
    inference(clausify,[status(thm)],[f_1269_2]) ).

fof(f_1270_1,plain,
    ! [Hb,Ea,Pa,C] :
      ( hBOOL(wTrt(Pa,Hb,Ea,new_list_char(C),hAPP_list_char_ty(class,C)))
      | ~ hBOOL(hAPP_list_char_bool(is_cla570604648t_char(Pa),C)) ),
    inference(fof_nnf,[status(thm)],[fact_1128_WTrt_H__WTrts_H_Ointros_I1_J]) ).

fof(f_1270_2,plain,
    ! [U_6885,U_6884,U_6883,U_6882] :
      ( hBOOL(wTrt(U_6883,U_6885,U_6884,new_list_char(U_6882),hAPP_list_char_ty(class,U_6882)))
      | ~ hBOOL(hAPP_list_char_bool(is_cla570604648t_char(U_6883),U_6882)) ),
    inference(variable_rename,[status(thm)],[f_1270_1]) ).

cnf(f_1270_3,plain,
    ( hBOOL(wTrt(U_6883,U_6885,U_6884,new_list_char(U_6882),hAPP_list_char_ty(class,U_6882)))
    | ~ hBOOL(hAPP_list_char_bool(is_cla570604648t_char(U_6883),U_6882)) ),
    inference(clausify,[status(thm)],[f_1270_2]) ).

fof(f_1271_1,plain,
    ! [Pa,C,Lb,Hb] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,new_list_char(C),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb)),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(outOfMemory))))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb)))
      | new_Addr(Hb) != none_nat ),
    inference(fof_nnf,[status(thm)],[fact_1129_NewFail]) ).

fof(f_1271_2,plain,
    ! [U_6889,U_6888,U_6887,U_6886] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6889,new_list_char(U_6888),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_6886),U_6887)),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(outOfMemory))))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_6886),U_6887)))
      | new_Addr(U_6886) != none_nat ),
    inference(variable_rename,[status(thm)],[f_1271_1]) ).

cnf(f_1271_3,plain,
    ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6889,new_list_char(U_6888),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_6886),U_6887)),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(outOfMemory))))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_6886),U_6887)))
    | new_Addr(U_6886) != none_nat ),
    inference(clausify,[status(thm)],[f_1271_2]) ).

fof(f_1272_1,plain,
    ! [Pa,C,Lb,Hb] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,new_list_char(C),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb)),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(outOfMemory))))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb)))
      | new_Addr(Hb) != none_nat ),
    inference(fof_nnf,[status(thm)],[fact_1130_redp__redsp_ORedNewFail]) ).

fof(f_1272_2,plain,
    ! [U_6893,U_6892,U_6891,U_6890] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(U_6893,new_list_char(U_6892),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_6890),U_6891)),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(outOfMemory))))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_6890),U_6891)))
      | new_Addr(U_6890) != none_nat ),
    inference(variable_rename,[status(thm)],[f_1272_1]) ).

cnf(f_1272_3,plain,
    ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(U_6893,new_list_char(U_6892),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_6890),U_6891)),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(outOfMemory))))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_6890),U_6891)))
    | new_Addr(U_6890) != none_nat ),
    inference(clausify,[status(thm)],[f_1272_2]) ).

fof(f_1273_1,plain,
    ! [Lb,H_b,Pa,C,FDTs,Hb,A] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,new_list_char(C)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,addr(A))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),Lb)))),red(Pa)))
      | H_b != fun_up2041264236on_val(Hb,A,hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),init_fields(FDTs))))
      | ~ hBOOL(fields1147507508t_char(Pa,C,FDTs))
      | new_Addr(Hb) != hAPP_nat_option_nat(some_nat,A) ),
    inference(fof_nnf,[status(thm)],[fact_1131_red__reds_ORedNew]) ).

fof(f_1273_2,plain,
    ! [U_6900,U_6899,U_6898,U_6897,U_6896,U_6895,U_6894] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,new_list_char(U_6897)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_6895),U_6900))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,addr(U_6894))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_6899),U_6900)))),red(U_6898)))
      | U_6899 != fun_up2041264236on_val(U_6895,U_6894,hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_6897),init_fields(U_6896))))
      | ~ hBOOL(fields1147507508t_char(U_6898,U_6897,U_6896))
      | new_Addr(U_6895) != hAPP_nat_option_nat(some_nat,U_6894) ),
    inference(variable_rename,[status(thm)],[f_1273_1]) ).

cnf(f_1273_3,plain,
    ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,new_list_char(U_6897)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_6895),U_6900))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,addr(U_6894))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_6899),U_6900)))),red(U_6898)))
    | U_6899 != fun_up2041264236on_val(U_6895,U_6894,hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_6897),init_fields(U_6896))))
    | ~ hBOOL(fields1147507508t_char(U_6898,U_6897,U_6896))
    | new_Addr(U_6895) != hAPP_nat_option_nat(some_nat,U_6894) ),
    inference(clausify,[status(thm)],[f_1273_2]) ).

fof(f_1274_1,plain,
    ! [Lb,H_b,Pa,C,FDTs,Hb,A] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,new_list_char(C),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb)),hAPP_v834067052t_char(val_list_char,addr(A))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),Lb)))
      | H_b != fun_up2041264236on_val(Hb,A,hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),init_fields(FDTs))))
      | ~ hBOOL(fields1147507508t_char(Pa,C,FDTs))
      | new_Addr(Hb) != hAPP_nat_option_nat(some_nat,A) ),
    inference(fof_nnf,[status(thm)],[fact_1132_redp__redsp_ORedNew]) ).

fof(f_1274_2,plain,
    ! [U_6907,U_6906,U_6905,U_6904,U_6903,U_6902,U_6901] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(U_6905,new_list_char(U_6904),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_6902),U_6907)),hAPP_v834067052t_char(val_list_char,addr(U_6901))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_6906),U_6907)))
      | U_6906 != fun_up2041264236on_val(U_6902,U_6901,hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_6904),init_fields(U_6903))))
      | ~ hBOOL(fields1147507508t_char(U_6905,U_6904,U_6903))
      | new_Addr(U_6902) != hAPP_nat_option_nat(some_nat,U_6901) ),
    inference(variable_rename,[status(thm)],[f_1274_1]) ).

cnf(f_1274_3,plain,
    ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(U_6905,new_list_char(U_6904),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_6902),U_6907)),hAPP_v834067052t_char(val_list_char,addr(U_6901))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_6906),U_6907)))
    | U_6906 != fun_up2041264236on_val(U_6902,U_6901,hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_6904),init_fields(U_6903))))
    | ~ hBOOL(fields1147507508t_char(U_6905,U_6904,U_6903))
    | new_Addr(U_6902) != hAPP_nat_option_nat(some_nat,U_6901) ),
    inference(clausify,[status(thm)],[f_1274_2]) ).

fof(f_1275_1,plain,
    ! [Lb,H_b,Pa,C,FDTs,Hb,A] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,new_list_char(C),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb)),hAPP_v834067052t_char(val_list_char,addr(A))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),Lb)))
      | H_b != fun_up2041264236on_val(Hb,A,hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),init_fields(FDTs))))
      | ~ hBOOL(fields1147507508t_char(Pa,C,FDTs))
      | new_Addr(Hb) != hAPP_nat_option_nat(some_nat,A) ),
    inference(fof_nnf,[status(thm)],[fact_1133_New]) ).

fof(f_1275_2,plain,
    ! [U_6914,U_6913,U_6912,U_6911,U_6910,U_6909,U_6908] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6912,new_list_char(U_6911),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_6909),U_6914)),hAPP_v834067052t_char(val_list_char,addr(U_6908))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_6913),U_6914)))
      | U_6913 != fun_up2041264236on_val(U_6909,U_6908,hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_6911),init_fields(U_6910))))
      | ~ hBOOL(fields1147507508t_char(U_6912,U_6911,U_6910))
      | new_Addr(U_6909) != hAPP_nat_option_nat(some_nat,U_6908) ),
    inference(variable_rename,[status(thm)],[f_1275_1]) ).

cnf(f_1275_3,plain,
    ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6912,new_list_char(U_6911),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_6909),U_6914)),hAPP_v834067052t_char(val_list_char,addr(U_6908))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_6913),U_6914)))
    | U_6913 != fun_up2041264236on_val(U_6909,U_6908,hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_6911),init_fields(U_6910))))
    | ~ hBOOL(fields1147507508t_char(U_6912,U_6911,U_6910))
    | new_Addr(U_6909) != hAPP_nat_option_nat(some_nat,U_6908) ),
    inference(clausify,[status(thm)],[f_1275_2]) ).

fof(f_1276_1,plain,
    ! [M,Vs_1,S,Pa] : hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,call_list_char(hAPP_v834067052t_char(val_list_char,null),M,map_va1934808527t_char(val_list_char,Vs_1))),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer))))),S))),red(Pa))),
    inference(fof_nnf,[status(thm)],[fact_1134_red__reds_ORedCallNull]) ).

fof(f_1276_2,plain,
    ! [U_6918,U_6917,U_6916,U_6915] : hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,call_list_char(hAPP_v834067052t_char(val_list_char,null),U_6918,map_va1934808527t_char(val_list_char,U_6917))),U_6916)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer))))),U_6916))),red(U_6915))),
    inference(variable_rename,[status(thm)],[f_1276_1]) ).

cnf(f_1276_3,plain,
    hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,call_list_char(hAPP_v834067052t_char(val_list_char,null),U_6918,map_va1934808527t_char(val_list_char,U_6917))),U_6916)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer))))),U_6916))),red(U_6915))),
    inference(clausify,[status(thm)],[f_1276_2]) ).

fof(f_1277_1,plain,
    ! [Pa,M,Vs_1,S] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,call_list_char(hAPP_v834067052t_char(val_list_char,null),M,map_va1934808527t_char(val_list_char,Vs_1)),S),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer))))),S)),
    inference(fof_nnf,[status(thm)],[fact_1135_redp__redsp_ORedCallNull]) ).

fof(f_1277_2,plain,
    ! [U_6922,U_6921,U_6920,U_6919] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(U_6922,call_list_char(hAPP_v834067052t_char(val_list_char,null),U_6921,map_va1934808527t_char(val_list_char,U_6920)),U_6919),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer))))),U_6919)),
    inference(variable_rename,[status(thm)],[f_1277_1]) ).

cnf(f_1277_3,plain,
    hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(U_6922,call_list_char(hAPP_v834067052t_char(val_list_char,null),U_6921,map_va1934808527t_char(val_list_char,U_6920)),U_6919),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer))))),U_6919)),
    inference(clausify,[status(thm)],[f_1277_2]) ).

fof(f_1278_1,plain,
    ! [M,Ps,Pa,Eb,S_0,E_b,S_1] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,call_list_char(Eb,M,Ps),S_0),throw_list_char(E_b)),S_1))
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S_0),throw_list_char(E_b)),S_1)) ),
    inference(fof_nnf,[status(thm)],[fact_1136_CallObjThrow]) ).

fof(f_1278_2,plain,
    ! [U_6929,U_6928,U_6927,U_6926,U_6925,U_6924,U_6923] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6927,call_list_char(U_6926,U_6929,U_6928),U_6925),throw_list_char(U_6924)),U_6923))
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6927,U_6926,U_6925),throw_list_char(U_6924)),U_6923)) ),
    inference(variable_rename,[status(thm)],[f_1278_1]) ).

cnf(f_1278_3,plain,
    ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6927,call_list_char(U_6926,U_6929,U_6928),U_6925),throw_list_char(U_6924)),U_6923))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6927,U_6926,U_6925),throw_list_char(U_6924)),U_6923)) ),
    inference(clausify,[status(thm)],[f_1278_2]) ).

fof(f_1279_1,plain,
    ! [M,Esa,Pa,Eb,S,E_b,S_2] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,call_list_char(Eb,M,Esa),S),call_list_char(E_b,M,Esa)),S_2))
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Eb,S),E_b),S_2)) ),
    inference(fof_nnf,[status(thm)],[fact_1137_redp__redsp_OCallObj]) ).

fof(f_1279_2,plain,
    ! [U_6936,U_6935,U_6934,U_6933,U_6932,U_6931,U_6930] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(U_6934,call_list_char(U_6933,U_6936,U_6935),U_6932),call_list_char(U_6931,U_6936,U_6935)),U_6930))
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(U_6934,U_6933,U_6932),U_6931),U_6930)) ),
    inference(variable_rename,[status(thm)],[f_1279_1]) ).

cnf(f_1279_3,plain,
    ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(U_6934,call_list_char(U_6933,U_6936,U_6935),U_6932),call_list_char(U_6931,U_6936,U_6935)),U_6930))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(U_6934,U_6933,U_6932),U_6931),U_6930)) ),
    inference(clausify,[status(thm)],[f_1279_2]) ).

fof(f_1280_1,plain,
    ! [Pa,Eb,M,Esa,S] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,call_list_char(throw_list_char(Eb),M,Esa),S),throw_list_char(Eb)),S)),
    inference(fof_nnf,[status(thm)],[fact_1138_redp__redsp_OCallThrowObj]) ).

fof(f_1280_2,plain,
    ! [U_6941,U_6940,U_6939,U_6938,U_6937] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(U_6941,call_list_char(throw_list_char(U_6940),U_6939,U_6938),U_6937),throw_list_char(U_6940)),U_6937)),
    inference(variable_rename,[status(thm)],[f_1280_1]) ).

cnf(f_1280_3,plain,
    hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(U_6941,call_list_char(throw_list_char(U_6940),U_6939,U_6938),U_6937),throw_list_char(U_6940)),U_6937)),
    inference(clausify,[status(thm)],[f_1280_2]) ).

fof(f_1281_1,plain,
    ! [M,Esa,Eb,S,E_b,S_2,Pa] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,call_list_char(Eb,M,Esa)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,call_list_char(E_b,M,Esa)),S_2))),red(Pa)))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_2))),red(Pa))) ),
    inference(fof_nnf,[status(thm)],[fact_1139_red__reds_OCallObj]) ).

fof(f_1281_2,plain,
    ! [U_6948,U_6947,U_6946,U_6945,U_6944,U_6943,U_6942] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,call_list_char(U_6946,U_6948,U_6947)),U_6945)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,call_list_char(U_6944,U_6948,U_6947)),U_6943))),red(U_6942)))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_6946),U_6945)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_6944),U_6943))),red(U_6942))) ),
    inference(variable_rename,[status(thm)],[f_1281_1]) ).

cnf(f_1281_3,plain,
    ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,call_list_char(U_6946,U_6948,U_6947)),U_6945)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,call_list_char(U_6944,U_6948,U_6947)),U_6943))),red(U_6942)))
    | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_6946),U_6945)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_6944),U_6943))),red(U_6942))) ),
    inference(clausify,[status(thm)],[f_1281_2]) ).

fof(f_1282_1,plain,
    ! [Eb,M,Esa,S,Pa] : hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,call_list_char(throw_list_char(Eb),M,Esa)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(Eb)),S))),red(Pa))),
    inference(fof_nnf,[status(thm)],[fact_1140_red__reds_OCallThrowObj]) ).

fof(f_1282_2,plain,
    ! [U_6953,U_6952,U_6951,U_6950,U_6949] : hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,call_list_char(throw_list_char(U_6953),U_6952,U_6951)),U_6950)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(U_6953)),U_6950))),red(U_6949))),
    inference(variable_rename,[status(thm)],[f_1282_1]) ).

cnf(f_1282_3,plain,
    hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,call_list_char(throw_list_char(U_6953),U_6952,U_6951)),U_6950)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(U_6953)),U_6950))),red(U_6949))),
    inference(clausify,[status(thm)],[f_1282_2]) ).

fof(f_1283_1,plain,
    ! [M,Esa,Eb,S,E_b,S_2,Pa] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,call_list_char(Eb,M,Esa)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,call_list_char(E_b,M,Esa)),S_2))),transi2024712006on_val(red(Pa))))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_2))),transi2024712006on_val(red(Pa)))) ),
    inference(fof_nnf,[status(thm)],[fact_1141_CallRedsObj]) ).

fof(f_1283_2,plain,
    ! [U_6960,U_6959,U_6958,U_6957,U_6956,U_6955,U_6954] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,call_list_char(U_6958,U_6960,U_6959)),U_6957)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,call_list_char(U_6956,U_6960,U_6959)),U_6955))),transi2024712006on_val(red(U_6954))))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_6958),U_6957)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_6956),U_6955))),transi2024712006on_val(red(U_6954)))) ),
    inference(variable_rename,[status(thm)],[f_1283_1]) ).

cnf(f_1283_3,plain,
    ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,call_list_char(U_6958,U_6960,U_6959)),U_6957)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,call_list_char(U_6956,U_6960,U_6959)),U_6955))),transi2024712006on_val(red(U_6954))))
    | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_6958),U_6957)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_6956),U_6955))),transi2024712006on_val(red(U_6954)))) ),
    inference(clausify,[status(thm)],[f_1283_2]) ).

fof(f_1284_1,plain,
    ! [M,Esa,Eb,S0,A,S_1,Pa] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,call_list_char(Eb,M,Esa)),S0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(A)),S_1))),transi2024712006on_val(red(Pa))))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(A)),S_1))),transi2024712006on_val(red(Pa)))) ),
    inference(fof_nnf,[status(thm)],[fact_1142_CallRedsThrowObj]) ).

fof(f_1284_2,plain,
    ! [U_6967,U_6966,U_6965,U_6964,U_6963,U_6962,U_6961] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,call_list_char(U_6965,U_6967,U_6966)),U_6964)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(U_6963)),U_6962))),transi2024712006on_val(red(U_6961))))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_6965),U_6964)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(U_6963)),U_6962))),transi2024712006on_val(red(U_6961)))) ),
    inference(variable_rename,[status(thm)],[f_1284_1]) ).

cnf(f_1284_3,plain,
    ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,call_list_char(U_6965,U_6967,U_6966)),U_6964)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(U_6963)),U_6962))),transi2024712006on_val(red(U_6961))))
    | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_6965),U_6964)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(U_6963)),U_6962))),transi2024712006on_val(red(U_6961)))) ),
    inference(clausify,[status(thm)],[f_1284_2]) ).

fof(f_1285_1,plain,
    ! [M,Esa,Vs_1,S_2_1,Eb,S_0,S_1,Pa] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,call_list_char(Eb,M,Esa)),S_0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer))))),S_2_1))),transi2024712006on_val(red(Pa))))
      | ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Esa),S_1)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,map_va1934808527t_char(val_list_char,Vs_1)),S_2_1))),transi374442731on_val(reds(Pa))))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S_0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,null)),S_1))),transi2024712006on_val(red(Pa)))) ),
    inference(fof_nnf,[status(thm)],[fact_1143_CallRedsNull]) ).

fof(f_1285_2,plain,
    ! [U_6975,U_6974,U_6973,U_6972,U_6971,U_6970,U_6969,U_6968] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,call_list_char(U_6971,U_6975,U_6974)),U_6970)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer))))),U_6972))),transi2024712006on_val(red(U_6968))))
      | ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_6974),U_6969)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,map_va1934808527t_char(val_list_char,U_6973)),U_6972))),transi374442731on_val(reds(U_6968))))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_6971),U_6970)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,null)),U_6969))),transi2024712006on_val(red(U_6968)))) ),
    inference(variable_rename,[status(thm)],[f_1285_1]) ).

cnf(f_1285_3,plain,
    ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,call_list_char(U_6971,U_6975,U_6974)),U_6970)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer))))),U_6972))),transi2024712006on_val(red(U_6968))))
    | ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_6974),U_6969)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,map_va1934808527t_char(val_list_char,U_6973)),U_6972))),transi374442731on_val(reds(U_6968))))
    | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_6971),U_6970)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,null)),U_6969))),transi2024712006on_val(red(U_6968)))) ),
    inference(clausify,[status(thm)],[f_1285_2]) ).

fof(f_1286_1,plain,
    ! [M,Ps,Vs_1,S_2_1,Pa,Eb,S_0,S_1] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,call_list_char(Eb,M,Ps),S_0),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer))))),S_2_1))
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,Ps,S_1),map_va1934808527t_char(val_list_char,Vs_1)),S_2_1))
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S_0),hAPP_v834067052t_char(val_list_char,null)),S_1)) ),
    inference(fof_nnf,[status(thm)],[fact_1144_CallNull]) ).

fof(f_1286_2,plain,
    ! [U_6983,U_6982,U_6981,U_6980,U_6979,U_6978,U_6977,U_6976] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6979,call_list_char(U_6978,U_6983,U_6982),U_6977),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer))))),U_6980))
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(U_6979,U_6982,U_6976),map_va1934808527t_char(val_list_char,U_6981)),U_6980))
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6979,U_6978,U_6977),hAPP_v834067052t_char(val_list_char,null)),U_6976)) ),
    inference(variable_rename,[status(thm)],[f_1286_1]) ).

cnf(f_1286_3,plain,
    ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6979,call_list_char(U_6978,U_6983,U_6982),U_6977),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer))))),U_6980))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(U_6979,U_6982,U_6976),map_va1934808527t_char(val_list_char,U_6981)),U_6980))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_6979,U_6978,U_6977),hAPP_v834067052t_char(val_list_char,null)),U_6976)) ),
    inference(clausify,[status(thm)],[f_1286_2]) ).

fof(f_1287_1,plain,
    ! [Es_a,T_3,Esa,T_2,Es_1,T_1,Pa] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,Esa,T_2),Es_a),T_3))
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,Es_1,T_1),Es_a),T_3))
      | ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Esa),T_2)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Es_1),T_1))),reds(Pa)))
      | ~ hBOOL(wf_pro755087577t_char(wwf_J_mdecl,Pa)) ),
    inference(fof_nnf,[status(thm)],[fact_1145_extend__1__evals]) ).

fof(f_1287_2,plain,
    ! [U_6990,U_6989,U_6988,U_6987,U_6986,U_6985,U_6984] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(U_6984,U_6988,U_6987),U_6990),U_6989))
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(U_6984,U_6986,U_6985),U_6990),U_6989))
      | ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_6988),U_6987)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_6986),U_6985))),reds(U_6984)))
      | ~ hBOOL(wf_pro755087577t_char(wwf_J_mdecl,U_6984)) ),
    inference(variable_rename,[status(thm)],[f_1287_1]) ).

cnf(f_1287_3,plain,
    ( hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(U_6984,U_6988,U_6987),U_6990),U_6989))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(U_6984,U_6986,U_6985),U_6990),U_6989))
    | ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_6988),U_6987)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_6986),U_6985))),reds(U_6984)))
    | ~ hBOOL(wf_pro755087577t_char(wwf_J_mdecl,U_6984)) ),
    inference(clausify,[status(thm)],[f_1287_2]) ).

fof(f_1288_1,plain,
    ! [Es_a,S_2,Esa,S,Es_1,S_3,Pa] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,Esa,S),Es_a),S_2))
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,Es_1,S_3),Es_a),S_2))
      | ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Esa),S)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Es_1),S_3))),transi374442731on_val(reds(Pa))))
      | ~ hBOOL(wf_pro755087577t_char(wwf_J_mdecl,Pa)) ),
    inference(fof_nnf,[status(thm)],[fact_1146_extend__evals]) ).

fof(f_1288_2,plain,
    ! [U_6997,U_6996,U_6995,U_6994,U_6993,U_6992,U_6991] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(U_6991,U_6995,U_6994),U_6997),U_6996))
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(U_6991,U_6993,U_6992),U_6997),U_6996))
      | ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_6995),U_6994)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_6993),U_6992))),transi374442731on_val(reds(U_6991))))
      | ~ hBOOL(wf_pro755087577t_char(wwf_J_mdecl,U_6991)) ),
    inference(variable_rename,[status(thm)],[f_1288_1]) ).

cnf(f_1288_3,plain,
    ( hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(U_6991,U_6995,U_6994),U_6997),U_6996))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(U_6991,U_6993,U_6992),U_6997),U_6996))
    | ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_6995),U_6994)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_6993),U_6992))),transi374442731on_val(reds(U_6991))))
    | ~ hBOOL(wf_pro755087577t_char(wwf_J_mdecl,U_6991)) ),
    inference(clausify,[status(thm)],[f_1288_2]) ).

fof(f_1289_1,plain,
    ! [Esa,S,Es_a,S_2,Pa] :
      ( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Esa),S)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Es_a),S_2))),transi374442731on_val(reds(Pa))))
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,Esa,S),Es_a),S_2))
      | ~ hBOOL(wf_pro755087577t_char(wwf_J_mdecl,Pa)) ),
    inference(fof_nnf,[status(thm)],[fact_1147_bigs__by__smalls]) ).

fof(f_1289_2,plain,
    ! [U_7002,U_7001,U_7000,U_6999,U_6998] :
      ( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_7002),U_7001)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_7000),U_6999))),transi374442731on_val(reds(U_6998))))
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(U_6998,U_7002,U_7001),U_7000),U_6999))
      | ~ hBOOL(wf_pro755087577t_char(wwf_J_mdecl,U_6998)) ),
    inference(variable_rename,[status(thm)],[f_1289_1]) ).

cnf(f_1289_3,plain,
    ( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_7002),U_7001)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_7000),U_6999))),transi374442731on_val(reds(U_6998))))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(U_6998,U_7002,U_7001),U_7000),U_6999))
    | ~ hBOOL(wf_pro755087577t_char(wwf_J_mdecl,U_6998)) ),
    inference(clausify,[status(thm)],[f_1289_2]) ).

fof(f_1290_1,plain,
    ! [Pa,Esa,Hb,Lb,Es_a,H_b,L_b] :
      ( hBOOL(hext(Hb,H_b))
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,Esa,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb)),Es_a),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),L_b))) ),
    inference(fof_nnf,[status(thm)],[fact_1148_evals__hext]) ).

fof(f_1290_2,plain,
    ! [U_7009,U_7008,U_7007,U_7006,U_7005,U_7004,U_7003] :
      ( hBOOL(hext(U_7007,U_7004))
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(U_7009,U_7008,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_7007),U_7006)),U_7005),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_7004),U_7003))) ),
    inference(variable_rename,[status(thm)],[f_1290_1]) ).

fof(f_1290_3,plain,
    ! [U_7009,U_7008,U_7007,U_7006,U_7005,U_7004] :
      ( ! [U_7003] : ~ hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(U_7009,U_7008,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_7007),U_7006)),U_7005),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_7004),U_7003)))
      | hBOOL(hext(U_7007,U_7004)) ),
    inference(miniscope,[status(thm)],[f_1290_2]) ).

cnf(f_1290_4,plain,
    ( ~ hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(U_7009,U_7008,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_7007),U_7006)),U_7005),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_7004),U_7003)))
    | hBOOL(hext(U_7007,U_7004)) ),
    inference(clausify,[status(thm)],[f_1290_3]) ).

fof(f_1291_1,plain,
    ! [Esa,Hb,Lb,Es_a,H_b,L_b,Pa] :
      ( hBOOL(hext(Hb,H_b))
      | ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Esa),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb))),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Es_a),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),L_b)))),reds(Pa))) ),
    inference(fof_nnf,[status(thm)],[fact_1149_reds__hext__incr]) ).

fof(f_1291_2,plain,
    ! [U_7016,U_7015,U_7014,U_7013,U_7012,U_7011,U_7010] :
      ( hBOOL(hext(U_7015,U_7012))
      | ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_7016),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_7015),U_7014))),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_7013),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_7012),U_7011)))),reds(U_7010))) ),
    inference(variable_rename,[status(thm)],[f_1291_1]) ).

fof(f_1291_3,plain,
    ! [U_7016,U_7015,U_7014,U_7013,U_7012] :
      ( ! [U_7011,U_7010] : ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_7016),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_7015),U_7014))),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_7013),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_7012),U_7011)))),reds(U_7010)))
      | hBOOL(hext(U_7015,U_7012)) ),
    inference(miniscope,[status(thm)],[f_1291_2]) ).

cnf(f_1291_4,plain,
    ( ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_7016),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_7015),U_7014))),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_7013),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_7012),U_7011)))),reds(U_7010)))
    | hBOOL(hext(U_7015,U_7012)) ),
    inference(clausify,[status(thm)],[f_1291_3]) ).

fof(f_1292_1,plain,
    ! [Pa,Esa,H_0,L_0,Es_a,H_1,L_1_1] :
      ( hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(dom_list_char_val(L_0)),dom_list_char_val(L_1_1)))
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,Esa,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_0),L_0)),Es_a),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_1),L_1_1))) ),
    inference(fof_nnf,[status(thm)],[fact_1150_evals__lcl__incr]) ).

fof(f_1292_2,plain,
    ! [U_7023,U_7022,U_7021,U_7020,U_7019,U_7018,U_7017] :
      ( hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(dom_list_char_val(U_7020)),dom_list_char_val(U_7017)))
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(U_7023,U_7022,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_7021),U_7020)),U_7019),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_7018),U_7017))) ),
    inference(variable_rename,[status(thm)],[f_1292_1]) ).

cnf(f_1292_3,plain,
    ( hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(dom_list_char_val(U_7020)),dom_list_char_val(U_7017)))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(U_7023,U_7022,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_7021),U_7020)),U_7019),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_7018),U_7017))) ),
    inference(clausify,[status(thm)],[f_1292_2]) ).

fof(f_1293_1,plain,
    ! [Va,M,Esa,S,Es_a,S_2,Pa] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,call_list_char(hAPP_v834067052t_char(val_list_char,Va),M,Esa)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,call_list_char(hAPP_v834067052t_char(val_list_char,Va),M,Es_a)),S_2))),red(Pa)))
      | ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Esa),S)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Es_a),S_2))),reds(Pa))) ),
    inference(fof_nnf,[status(thm)],[fact_1151_red__reds_OCallParams]) ).

fof(f_1293_2,plain,
    ! [U_7030,U_7029,U_7028,U_7027,U_7026,U_7025,U_7024] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,call_list_char(hAPP_v834067052t_char(val_list_char,U_7030),U_7029,U_7028)),U_7027)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,call_list_char(hAPP_v834067052t_char(val_list_char,U_7030),U_7029,U_7026)),U_7025))),red(U_7024)))
      | ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_7028),U_7027)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_7026),U_7025))),reds(U_7024))) ),
    inference(variable_rename,[status(thm)],[f_1293_1]) ).

cnf(f_1293_3,plain,
    ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,call_list_char(hAPP_v834067052t_char(val_list_char,U_7030),U_7029,U_7028)),U_7027)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,call_list_char(hAPP_v834067052t_char(val_list_char,U_7030),U_7029,U_7026)),U_7025))),red(U_7024)))
    | ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_7028),U_7027)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_7026),U_7025))),reds(U_7024))) ),
    inference(clausify,[status(thm)],[f_1293_2]) ).

fof(f_1294_1,plain,
    ! [Va,M,Esa,S,Es_a,S_2,Pa] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,call_list_char(hAPP_v834067052t_char(val_list_char,Va),M,Esa)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,call_list_char(hAPP_v834067052t_char(val_list_char,Va),M,Es_a)),S_2))),transi2024712006on_val(red(Pa))))
      | ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Esa),S)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Es_a),S_2))),transi374442731on_val(reds(Pa)))) ),
    inference(fof_nnf,[status(thm)],[fact_1152_CallRedsParams]) ).

fof(f_1294_2,plain,
    ! [U_7037,U_7036,U_7035,U_7034,U_7033,U_7032,U_7031] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,call_list_char(hAPP_v834067052t_char(val_list_char,U_7037),U_7036,U_7035)),U_7034)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,call_list_char(hAPP_v834067052t_char(val_list_char,U_7037),U_7036,U_7033)),U_7032))),transi2024712006on_val(red(U_7031))))
      | ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_7035),U_7034)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_7033),U_7032))),transi374442731on_val(reds(U_7031)))) ),
    inference(variable_rename,[status(thm)],[f_1294_1]) ).

cnf(f_1294_3,plain,
    ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,call_list_char(hAPP_v834067052t_char(val_list_char,U_7037),U_7036,U_7035)),U_7034)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,call_list_char(hAPP_v834067052t_char(val_list_char,U_7037),U_7036,U_7033)),U_7032))),transi2024712006on_val(red(U_7031))))
    | ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_7035),U_7034)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_7033),U_7032))),transi374442731on_val(reds(U_7031)))) ),
    inference(clausify,[status(thm)],[f_1294_2]) ).

fof(f_1295_1,plain,
    ! [M,Esa,Vs_1_1,A,Es_2,S_2_1,Eb,S0,Va,S_1,Pa] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,call_list_char(Eb,M,Esa)),S0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(A)),S_2_1))),transi2024712006on_val(red(Pa))))
      | ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Esa),S_1)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,append_exp_list_char(map_va1934808527t_char(val_list_char,Vs_1_1),cons_exp_list_char(throw_list_char(A),Es_2))),S_2_1))),transi374442731on_val(reds(Pa))))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,Va)),S_1))),transi2024712006on_val(red(Pa)))) ),
    inference(fof_nnf,[status(thm)],[fact_1153_CallRedsThrowParams]) ).

fof(f_1295_2,plain,
    ! [U_7048,U_7047,U_7046,U_7045,U_7044,U_7043,U_7042,U_7041,U_7040,U_7039,U_7038] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,call_list_char(U_7042,U_7048,U_7047)),U_7041)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(U_7045)),U_7043))),transi2024712006on_val(red(U_7038))))
      | ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_7047),U_7039)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,append_exp_list_char(map_va1934808527t_char(val_list_char,U_7046),cons_exp_list_char(throw_list_char(U_7045),U_7044))),U_7043))),transi374442731on_val(reds(U_7038))))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_7042),U_7041)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,U_7040)),U_7039))),transi2024712006on_val(red(U_7038)))) ),
    inference(variable_rename,[status(thm)],[f_1295_1]) ).

cnf(f_1295_3,plain,
    ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,call_list_char(U_7042,U_7048,U_7047)),U_7041)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(U_7045)),U_7043))),transi2024712006on_val(red(U_7038))))
    | ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_7047),U_7039)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,append_exp_list_char(map_va1934808527t_char(val_list_char,U_7046),cons_exp_list_char(throw_list_char(U_7045),U_7044))),U_7043))),transi374442731on_val(reds(U_7038))))
    | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_7042),U_7041)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,U_7040)),U_7039))),transi2024712006on_val(red(U_7038)))) ),
    inference(clausify,[status(thm)],[f_1295_2]) ).

fof(f_1296_1,plain,
    ! [Eb,M,Esa] : fv(call_list_char(Eb,M,Esa)) = semila919158006r_bool(fv(Eb),fvs(Esa)),
    inference(fof_nnf,[status(thm)],[fact_1154_fv__fvs_Osimps_I9_J]) ).

fof(f_1296_2,plain,
    ! [U_7051,U_7050,U_7049] : fv(call_list_char(U_7051,U_7050,U_7049)) = semila919158006r_bool(fv(U_7051),fvs(U_7049)),
    inference(variable_rename,[status(thm)],[f_1296_1]) ).

cnf(f_1296_3,plain,
    fv(call_list_char(U_7051,U_7050,U_7049)) = semila919158006r_bool(fv(U_7051),fvs(U_7049)),
    inference(clausify,[status(thm)],[f_1296_2]) ).

fof(f_1297_1,plain,
    ! [Eb,Esa] : fvs(cons_exp_list_char(Eb,Esa)) = semila919158006r_bool(fv(Eb),fvs(Esa)),
    inference(fof_nnf,[status(thm)],[fact_1155_fv__fvs_Osimps_I17_J]) ).

fof(f_1297_2,plain,
    ! [U_7053,U_7052] : fvs(cons_exp_list_char(U_7053,U_7052)) = semila919158006r_bool(fv(U_7053),fvs(U_7052)),
    inference(variable_rename,[status(thm)],[f_1297_1]) ).

cnf(f_1297_3,plain,
    fvs(cons_exp_list_char(U_7053,U_7052)) = semila919158006r_bool(fv(U_7053),fvs(U_7052)),
    inference(clausify,[status(thm)],[f_1297_2]) ).

fof(f_1298_1,plain,
    ! [Esa,Es_a,S_2_1,Pa,Eb,S_0,Va,S_1] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,cons_exp_list_char(Eb,Esa),S_0),cons_exp_list_char(hAPP_v834067052t_char(val_list_char,Va),Es_a)),S_2_1))
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,Esa,S_1),Es_a),S_2_1))
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S_0),hAPP_v834067052t_char(val_list_char,Va)),S_1)) ),
    inference(fof_nnf,[status(thm)],[fact_1156_eval__evals_OCons]) ).

fof(f_1298_2,plain,
    ! [U_7061,U_7060,U_7059,U_7058,U_7057,U_7056,U_7055,U_7054] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(U_7058,cons_exp_list_char(U_7057,U_7061),U_7056),cons_exp_list_char(hAPP_v834067052t_char(val_list_char,U_7055),U_7060)),U_7059))
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(U_7058,U_7061,U_7054),U_7060),U_7059))
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_7058,U_7057,U_7056),hAPP_v834067052t_char(val_list_char,U_7055)),U_7054)) ),
    inference(variable_rename,[status(thm)],[f_1298_1]) ).

cnf(f_1298_3,plain,
    ( hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(U_7058,cons_exp_list_char(U_7057,U_7061),U_7056),cons_exp_list_char(hAPP_v834067052t_char(val_list_char,U_7055),U_7060)),U_7059))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(U_7058,U_7061,U_7054),U_7060),U_7059))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_7058,U_7057,U_7056),hAPP_v834067052t_char(val_list_char,U_7055)),U_7054)) ),
    inference(clausify,[status(thm)],[f_1298_2]) ).

fof(f_1299_1,plain,
    ! [Esa,Pa,Eb,S_0,E_b,S_1] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,cons_exp_list_char(Eb,Esa),S_0),cons_exp_list_char(throw_list_char(E_b),Esa)),S_1))
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S_0),throw_list_char(E_b)),S_1)) ),
    inference(fof_nnf,[status(thm)],[fact_1157_ConsThrow]) ).

fof(f_1299_2,plain,
    ! [U_7067,U_7066,U_7065,U_7064,U_7063,U_7062] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(U_7066,cons_exp_list_char(U_7065,U_7067),U_7064),cons_exp_list_char(throw_list_char(U_7063),U_7067)),U_7062))
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_7066,U_7065,U_7064),throw_list_char(U_7063)),U_7062)) ),
    inference(variable_rename,[status(thm)],[f_1299_1]) ).

cnf(f_1299_3,plain,
    ( hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(U_7066,cons_exp_list_char(U_7065,U_7067),U_7064),cons_exp_list_char(throw_list_char(U_7063),U_7067)),U_7062))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_7066,U_7065,U_7064),throw_list_char(U_7063)),U_7062)) ),
    inference(clausify,[status(thm)],[f_1299_2]) ).

fof(f_1300_1,plain,
    ! [Va,Esa,S,Es_a,S_2,Pa] :
      ( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,cons_exp_list_char(hAPP_v834067052t_char(val_list_char,Va),Esa)),S)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,cons_exp_list_char(hAPP_v834067052t_char(val_list_char,Va),Es_a)),S_2))),reds(Pa)))
      | ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Esa),S)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Es_a),S_2))),reds(Pa))) ),
    inference(fof_nnf,[status(thm)],[fact_1158_red__reds_OListRed2]) ).

fof(f_1300_2,plain,
    ! [U_7073,U_7072,U_7071,U_7070,U_7069,U_7068] :
      ( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,cons_exp_list_char(hAPP_v834067052t_char(val_list_char,U_7073),U_7072)),U_7071)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,cons_exp_list_char(hAPP_v834067052t_char(val_list_char,U_7073),U_7070)),U_7069))),reds(U_7068)))
      | ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_7072),U_7071)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_7070),U_7069))),reds(U_7068))) ),
    inference(variable_rename,[status(thm)],[f_1300_1]) ).

cnf(f_1300_3,plain,
    ( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,cons_exp_list_char(hAPP_v834067052t_char(val_list_char,U_7073),U_7072)),U_7071)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,cons_exp_list_char(hAPP_v834067052t_char(val_list_char,U_7073),U_7070)),U_7069))),reds(U_7068)))
    | ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_7072),U_7071)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_7070),U_7069))),reds(U_7068))) ),
    inference(clausify,[status(thm)],[f_1300_2]) ).

fof(f_1301_1,plain,
    ! [Pa,Va,M,S,Esa,Vs_1,Eb,Es_a] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,call_list_char(hAPP_v834067052t_char(val_list_char,Va),M,Esa),S),throw_list_char(Eb)),S))
      | Esa != append_exp_list_char(map_va1934808527t_char(val_list_char,Vs_1),cons_exp_list_char(throw_list_char(Eb),Es_a)) ),
    inference(fof_nnf,[status(thm)],[fact_1159_redp__redsp_OCallThrowParams]) ).

fof(f_1301_2,plain,
    ! [U_7081,U_7080,U_7079,U_7078,U_7077,U_7076,U_7075,U_7074] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(U_7081,call_list_char(hAPP_v834067052t_char(val_list_char,U_7080),U_7079,U_7077),U_7078),throw_list_char(U_7075)),U_7078))
      | U_7077 != append_exp_list_char(map_va1934808527t_char(val_list_char,U_7076),cons_exp_list_char(throw_list_char(U_7075),U_7074)) ),
    inference(variable_rename,[status(thm)],[f_1301_1]) ).

fof(f_1301_3,plain,
    ! [U_7081,U_7080,U_7079,U_7078,U_7077,U_7076,U_7075] :
      ( ! [U_7074] : U_7077 != append_exp_list_char(map_va1934808527t_char(val_list_char,U_7076),cons_exp_list_char(throw_list_char(U_7075),U_7074))
      | hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(U_7081,call_list_char(hAPP_v834067052t_char(val_list_char,U_7080),U_7079,U_7077),U_7078),throw_list_char(U_7075)),U_7078)) ),
    inference(miniscope,[status(thm)],[f_1301_2]) ).

cnf(f_1301_4,plain,
    ( U_7077 != append_exp_list_char(map_va1934808527t_char(val_list_char,U_7076),cons_exp_list_char(throw_list_char(U_7075),U_7074))
    | hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(U_7081,call_list_char(hAPP_v834067052t_char(val_list_char,U_7080),U_7079,U_7077),U_7078),throw_list_char(U_7075)),U_7078)) ),
    inference(clausify,[status(thm)],[f_1301_3]) ).

fof(f_1302_1,plain,
    ! [Vs_1,Es_a,Pa,X_2,S,E_b,S_2] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,append_exp_list_char(map_va1934808527t_char(val_list_char,Vs_1),cons_exp_list_char(throw_list_char(X_2),Es_a)),S),append_exp_list_char(map_va1934808527t_char(val_list_char,Vs_1),cons_exp_list_char(E_b,Es_a))),S_2))
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,throw_list_char(X_2),S),E_b),S_2)) ),
    inference(fof_nnf,[status(thm)],[fact_1160_list__eval__Throw]) ).

fof(f_1302_2,plain,
    ! [U_7088,U_7087,U_7086,U_7085,U_7084,U_7083,U_7082] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(U_7086,append_exp_list_char(map_va1934808527t_char(val_list_char,U_7088),cons_exp_list_char(throw_list_char(U_7085),U_7087)),U_7084),append_exp_list_char(map_va1934808527t_char(val_list_char,U_7088),cons_exp_list_char(U_7083,U_7087))),U_7082))
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_7086,throw_list_char(U_7085),U_7084),U_7083),U_7082)) ),
    inference(variable_rename,[status(thm)],[f_1302_1]) ).

cnf(f_1302_3,plain,
    ( hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(U_7086,append_exp_list_char(map_va1934808527t_char(val_list_char,U_7088),cons_exp_list_char(throw_list_char(U_7085),U_7087)),U_7084),append_exp_list_char(map_va1934808527t_char(val_list_char,U_7088),cons_exp_list_char(U_7083,U_7087))),U_7082))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_7086,throw_list_char(U_7085),U_7084),U_7083),U_7082)) ),
    inference(clausify,[status(thm)],[f_1302_2]) ).

fof(f_1303_1,plain,
    ! [Va,Esa,S,Es_a,S_2,Pa] :
      ( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,cons_exp_list_char(hAPP_v834067052t_char(val_list_char,Va),Esa)),S)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,cons_exp_list_char(hAPP_v834067052t_char(val_list_char,Va),Es_a)),S_2))),transi374442731on_val(reds(Pa))))
      | ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Esa),S)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Es_a),S_2))),transi374442731on_val(reds(Pa)))) ),
    inference(fof_nnf,[status(thm)],[fact_1161_ListReds2]) ).

fof(f_1303_2,plain,
    ! [U_7094,U_7093,U_7092,U_7091,U_7090,U_7089] :
      ( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,cons_exp_list_char(hAPP_v834067052t_char(val_list_char,U_7094),U_7093)),U_7092)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,cons_exp_list_char(hAPP_v834067052t_char(val_list_char,U_7094),U_7091)),U_7090))),transi374442731on_val(reds(U_7089))))
      | ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_7093),U_7092)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_7091),U_7090))),transi374442731on_val(reds(U_7089)))) ),
    inference(variable_rename,[status(thm)],[f_1303_1]) ).

cnf(f_1303_3,plain,
    ( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,cons_exp_list_char(hAPP_v834067052t_char(val_list_char,U_7094),U_7093)),U_7092)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,cons_exp_list_char(hAPP_v834067052t_char(val_list_char,U_7094),U_7091)),U_7090))),transi374442731on_val(reds(U_7089))))
    | ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_7093),U_7092)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_7091),U_7090))),transi374442731on_val(reds(U_7089)))) ),
    inference(clausify,[status(thm)],[f_1303_2]) ).

fof(f_1304_1,plain,
    ! [Esa,Eb,S,E_b,S_2,Pa] :
      ( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,cons_exp_list_char(Eb,Esa)),S)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,cons_exp_list_char(E_b,Esa)),S_2))),reds(Pa)))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_2))),red(Pa))) ),
    inference(fof_nnf,[status(thm)],[fact_1162_red__reds_OListRed1]) ).

fof(f_1304_2,plain,
    ! [U_7100,U_7099,U_7098,U_7097,U_7096,U_7095] :
      ( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,cons_exp_list_char(U_7099,U_7100)),U_7098)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,cons_exp_list_char(U_7097,U_7100)),U_7096))),reds(U_7095)))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_7099),U_7098)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_7097),U_7096))),red(U_7095))) ),
    inference(variable_rename,[status(thm)],[f_1304_1]) ).

cnf(f_1304_3,plain,
    ( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,cons_exp_list_char(U_7099,U_7100)),U_7098)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,cons_exp_list_char(U_7097,U_7100)),U_7096))),reds(U_7095)))
    | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_7099),U_7098)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_7097),U_7096))),red(U_7095))) ),
    inference(clausify,[status(thm)],[f_1304_2]) ).

fof(f_1305_1,plain,
    ! [M,Esa,Vs_1,Ex,Es_a,S_2_1,Pa,Eb,S_0,Va,S_1] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,call_list_char(Eb,M,Esa),S_0),throw_list_char(Ex)),S_2_1))
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,Esa,S_1),append_exp_list_char(map_va1934808527t_char(val_list_char,Vs_1),cons_exp_list_char(throw_list_char(Ex),Es_a))),S_2_1))
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S_0),hAPP_v834067052t_char(val_list_char,Va)),S_1)) ),
    inference(fof_nnf,[status(thm)],[fact_1163_CallParamsThrow]) ).

fof(f_1305_2,plain,
    ! [U_7111,U_7110,U_7109,U_7108,U_7107,U_7106,U_7105,U_7104,U_7103,U_7102,U_7101] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_7105,call_list_char(U_7104,U_7111,U_7110),U_7103),throw_list_char(U_7108)),U_7106))
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(U_7105,U_7110,U_7101),append_exp_list_char(map_va1934808527t_char(val_list_char,U_7109),cons_exp_list_char(throw_list_char(U_7108),U_7107))),U_7106))
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_7105,U_7104,U_7103),hAPP_v834067052t_char(val_list_char,U_7102)),U_7101)) ),
    inference(variable_rename,[status(thm)],[f_1305_1]) ).

cnf(f_1305_3,plain,
    ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_7105,call_list_char(U_7104,U_7111,U_7110),U_7103),throw_list_char(U_7108)),U_7106))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(U_7105,U_7110,U_7101),append_exp_list_char(map_va1934808527t_char(val_list_char,U_7109),cons_exp_list_char(throw_list_char(U_7108),U_7107))),U_7106))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_7105,U_7104,U_7103),hAPP_v834067052t_char(val_list_char,U_7102)),U_7101)) ),
    inference(clausify,[status(thm)],[f_1305_2]) ).

fof(f_1306_1,plain,
    ! [Va,M,S,Pa,Esa,Vs_1,Eb,Es_a] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,call_list_char(hAPP_v834067052t_char(val_list_char,Va),M,Esa)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(Eb)),S))),red(Pa)))
      | Esa != append_exp_list_char(map_va1934808527t_char(val_list_char,Vs_1),cons_exp_list_char(throw_list_char(Eb),Es_a)) ),
    inference(fof_nnf,[status(thm)],[fact_1164_red__reds_OCallThrowParams]) ).

fof(f_1306_2,plain,
    ! [U_7119,U_7118,U_7117,U_7116,U_7115,U_7114,U_7113,U_7112] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,call_list_char(hAPP_v834067052t_char(val_list_char,U_7119),U_7118,U_7115)),U_7117)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(U_7113)),U_7117))),red(U_7116)))
      | U_7115 != append_exp_list_char(map_va1934808527t_char(val_list_char,U_7114),cons_exp_list_char(throw_list_char(U_7113),U_7112)) ),
    inference(variable_rename,[status(thm)],[f_1306_1]) ).

fof(f_1306_3,plain,
    ! [U_7119,U_7118,U_7117,U_7116,U_7115,U_7114,U_7113] :
      ( ! [U_7112] : U_7115 != append_exp_list_char(map_va1934808527t_char(val_list_char,U_7114),cons_exp_list_char(throw_list_char(U_7113),U_7112))
      | hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,call_list_char(hAPP_v834067052t_char(val_list_char,U_7119),U_7118,U_7115)),U_7117)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(U_7113)),U_7117))),red(U_7116))) ),
    inference(miniscope,[status(thm)],[f_1306_2]) ).

cnf(f_1306_4,plain,
    ( U_7115 != append_exp_list_char(map_va1934808527t_char(val_list_char,U_7114),cons_exp_list_char(throw_list_char(U_7113),U_7112))
    | hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,call_list_char(hAPP_v834067052t_char(val_list_char,U_7119),U_7118,U_7115)),U_7117)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(U_7113)),U_7117))),red(U_7116))) ),
    inference(clausify,[status(thm)],[f_1306_3]) ).

fof(f_1307_1,plain,
    ! [Esa,Eb,S,E_b,S_2,Pa] :
      ( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,cons_exp_list_char(Eb,Esa)),S)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,cons_exp_list_char(E_b,Esa)),S_2))),transi374442731on_val(reds(Pa))))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_2))),transi2024712006on_val(red(Pa)))) ),
    inference(fof_nnf,[status(thm)],[fact_1165_ListReds1]) ).

fof(f_1307_2,plain,
    ! [U_7125,U_7124,U_7123,U_7122,U_7121,U_7120] :
      ( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,cons_exp_list_char(U_7124,U_7125)),U_7123)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,cons_exp_list_char(U_7122,U_7125)),U_7121))),transi374442731on_val(reds(U_7120))))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_7124),U_7123)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_7122),U_7121))),transi2024712006on_val(red(U_7120)))) ),
    inference(variable_rename,[status(thm)],[f_1307_1]) ).

cnf(f_1307_3,plain,
    ( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,cons_exp_list_char(U_7124,U_7125)),U_7123)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,cons_exp_list_char(U_7122,U_7125)),U_7121))),transi374442731on_val(reds(U_7120))))
    | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_7124),U_7123)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_7122),U_7121))),transi2024712006on_val(red(U_7120)))) ),
    inference(clausify,[status(thm)],[f_1307_2]) ).

fof(f_1308_1,plain,
    ! [Esa,Es_a,S_2_1,Eb,S_0,Va,S_1,Pa] :
      ( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,cons_exp_list_char(Eb,Esa)),S_0)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,cons_exp_list_char(hAPP_v834067052t_char(val_list_char,Va),Es_a)),S_2_1))),transi374442731on_val(reds(Pa))))
      | ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Esa),S_1)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Es_a),S_2_1))),transi374442731on_val(reds(Pa))))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S_0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,Va)),S_1))),transi2024712006on_val(red(Pa)))) ),
    inference(fof_nnf,[status(thm)],[fact_1166_ListRedsVal]) ).

fof(f_1308_2,plain,
    ! [U_7133,U_7132,U_7131,U_7130,U_7129,U_7128,U_7127,U_7126] :
      ( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,cons_exp_list_char(U_7130,U_7133)),U_7129)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,cons_exp_list_char(hAPP_v834067052t_char(val_list_char,U_7128),U_7132)),U_7131))),transi374442731on_val(reds(U_7126))))
      | ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_7133),U_7127)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_7132),U_7131))),transi374442731on_val(reds(U_7126))))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_7130),U_7129)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,U_7128)),U_7127))),transi2024712006on_val(red(U_7126)))) ),
    inference(variable_rename,[status(thm)],[f_1308_1]) ).

cnf(f_1308_3,plain,
    ( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,cons_exp_list_char(U_7130,U_7133)),U_7129)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,cons_exp_list_char(hAPP_v834067052t_char(val_list_char,U_7128),U_7132)),U_7131))),transi374442731on_val(reds(U_7126))))
    | ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_7133),U_7127)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_7132),U_7131))),transi374442731on_val(reds(U_7126))))
    | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_7130),U_7129)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,U_7128)),U_7127))),transi2024712006on_val(red(U_7126)))) ),
    inference(clausify,[status(thm)],[f_1308_2]) ).

fof(f_1309_1,plain,
    ! [Pa,Eb,Esa,S,E_b,S_2] :
      ( ? [E_1] :
          ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S),throw_list_char(E_1)),S_2))
          & E_b = cons_exp_list_char(throw_list_char(E_1),Esa) )
      | ? [V_2,S_1_1,Es] :
          ( hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,Esa,S_1_1),Es),S_2))
          & hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S),hAPP_v834067052t_char(val_list_char,V_2)),S_1_1))
          & E_b = cons_exp_list_char(hAPP_v834067052t_char(val_list_char,V_2),Es) )
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,cons_exp_list_char(Eb,Esa),S),E_b),S_2)) ),
    inference(fof_nnf,[status(thm)],[fact_1167_evals__cases_I2_J]) ).

fof(f_1309_2,plain,
    ! [U_7143,U_7142,U_7141,U_7140,U_7139,U_7138] :
      ( ? [U_7137] :
          ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_7143,U_7142,U_7140),throw_list_char(U_7137)),U_7138))
          & U_7139 = cons_exp_list_char(throw_list_char(U_7137),U_7141) )
      | ? [U_7136,U_7135,U_7134] :
          ( hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(U_7143,U_7141,U_7135),U_7134),U_7138))
          & hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_7143,U_7142,U_7140),hAPP_v834067052t_char(val_list_char,U_7136)),U_7135))
          & U_7139 = cons_exp_list_char(hAPP_v834067052t_char(val_list_char,U_7136),U_7134) )
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(U_7143,cons_exp_list_char(U_7142,U_7141),U_7140),U_7139),U_7138)) ),
    inference(variable_rename,[status(thm)],[f_1309_1]) ).

fof(f_1309_3,plain,
    ! [U_7143,U_7142,U_7141,U_7140,U_7139,U_7138] :
      ( ? [U_7137] :
          ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_7143,U_7142,U_7140),throw_list_char(U_7137)),U_7138))
          & U_7139 = cons_exp_list_char(throw_list_char(U_7137),U_7141) )
      | ? [U_7135,U_7134] :
          ( hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(U_7143,U_7141,U_7135),U_7134),U_7138))
          & hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_7143,U_7142,U_7140),hAPP_v834067052t_char(val_list_char,sK999(U_7143,U_7142,U_7141,U_7140,U_7139,U_7138))),U_7135))
          & U_7139 = cons_exp_list_char(hAPP_v834067052t_char(val_list_char,sK999(U_7143,U_7142,U_7141,U_7140,U_7139,U_7138)),U_7134) )
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(U_7143,cons_exp_list_char(U_7142,U_7141),U_7140),U_7139),U_7138)) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK999]),skolemize(U_7136,sK999(U_7143,U_7142,U_7141,U_7140,U_7139,U_7138))],[f_1309_2]) ).

fof(f_1309_4,plain,
    ! [U_7143,U_7142,U_7141,U_7140,U_7139,U_7138] :
      ( ? [U_7137] :
          ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_7143,U_7142,U_7140),throw_list_char(U_7137)),U_7138))
          & U_7139 = cons_exp_list_char(throw_list_char(U_7137),U_7141) )
      | ? [U_7134] :
          ( hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(U_7143,U_7141,sK1000(U_7143,U_7142,U_7141,U_7140,U_7139,U_7138)),U_7134),U_7138))
          & hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_7143,U_7142,U_7140),hAPP_v834067052t_char(val_list_char,sK999(U_7143,U_7142,U_7141,U_7140,U_7139,U_7138))),sK1000(U_7143,U_7142,U_7141,U_7140,U_7139,U_7138)))
          & U_7139 = cons_exp_list_char(hAPP_v834067052t_char(val_list_char,sK999(U_7143,U_7142,U_7141,U_7140,U_7139,U_7138)),U_7134) )
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(U_7143,cons_exp_list_char(U_7142,U_7141),U_7140),U_7139),U_7138)) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK1000]),skolemize(U_7135,sK1000(U_7143,U_7142,U_7141,U_7140,U_7139,U_7138))],[f_1309_3]) ).

fof(f_1309_5,plain,
    ! [U_7143,U_7142,U_7141,U_7140,U_7139,U_7138] :
      ( ? [U_7137] :
          ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_7143,U_7142,U_7140),throw_list_char(U_7137)),U_7138))
          & U_7139 = cons_exp_list_char(throw_list_char(U_7137),U_7141) )
      | ( hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(U_7143,U_7141,sK1000(U_7143,U_7142,U_7141,U_7140,U_7139,U_7138)),sK1001(U_7143,U_7142,U_7141,U_7140,U_7139,U_7138)),U_7138))
        & hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_7143,U_7142,U_7140),hAPP_v834067052t_char(val_list_char,sK999(U_7143,U_7142,U_7141,U_7140,U_7139,U_7138))),sK1000(U_7143,U_7142,U_7141,U_7140,U_7139,U_7138)))
        & U_7139 = cons_exp_list_char(hAPP_v834067052t_char(val_list_char,sK999(U_7143,U_7142,U_7141,U_7140,U_7139,U_7138)),sK1001(U_7143,U_7142,U_7141,U_7140,U_7139,U_7138)) )
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(U_7143,cons_exp_list_char(U_7142,U_7141),U_7140),U_7139),U_7138)) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK1001]),skolemize(U_7134,sK1001(U_7143,U_7142,U_7141,U_7140,U_7139,U_7138))],[f_1309_4]) ).

fof(f_1309_6,plain,
    ! [U_7143,U_7142,U_7141,U_7140,U_7139,U_7138] :
      ( ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_7143,U_7142,U_7140),throw_list_char(sK1002(U_7143,U_7142,U_7141,U_7140,U_7139,U_7138))),U_7138))
        & U_7139 = cons_exp_list_char(throw_list_char(sK1002(U_7143,U_7142,U_7141,U_7140,U_7139,U_7138)),U_7141) )
      | ( hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(U_7143,U_7141,sK1000(U_7143,U_7142,U_7141,U_7140,U_7139,U_7138)),sK1001(U_7143,U_7142,U_7141,U_7140,U_7139,U_7138)),U_7138))
        & hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_7143,U_7142,U_7140),hAPP_v834067052t_char(val_list_char,sK999(U_7143,U_7142,U_7141,U_7140,U_7139,U_7138))),sK1000(U_7143,U_7142,U_7141,U_7140,U_7139,U_7138)))
        & U_7139 = cons_exp_list_char(hAPP_v834067052t_char(val_list_char,sK999(U_7143,U_7142,U_7141,U_7140,U_7139,U_7138)),sK1001(U_7143,U_7142,U_7141,U_7140,U_7139,U_7138)) )
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(U_7143,cons_exp_list_char(U_7142,U_7141),U_7140),U_7139),U_7138)) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK1002]),skolemize(U_7137,sK1002(U_7143,U_7142,U_7141,U_7140,U_7139,U_7138))],[f_1309_5]) ).

cnf(f_1309_7,plain,
    ( U_7139 = cons_exp_list_char(throw_list_char(sK1002(U_7143,U_7142,U_7141,U_7140,U_7139,U_7138)),U_7141)
    | U_7139 = cons_exp_list_char(hAPP_v834067052t_char(val_list_char,sK999(U_7143,U_7142,U_7141,U_7140,U_7139,U_7138)),sK1001(U_7143,U_7142,U_7141,U_7140,U_7139,U_7138))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(U_7143,cons_exp_list_char(U_7142,U_7141),U_7140),U_7139),U_7138)) ),
    inference(clausify,[status(thm)],[f_1309_6]) ).

cnf(f_1309_8,plain,
    ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_7143,U_7142,U_7140),throw_list_char(sK1002(U_7143,U_7142,U_7141,U_7140,U_7139,U_7138))),U_7138))
    | U_7139 = cons_exp_list_char(hAPP_v834067052t_char(val_list_char,sK999(U_7143,U_7142,U_7141,U_7140,U_7139,U_7138)),sK1001(U_7143,U_7142,U_7141,U_7140,U_7139,U_7138))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(U_7143,cons_exp_list_char(U_7142,U_7141),U_7140),U_7139),U_7138)) ),
    inference(clausify,[status(thm)],[f_1309_6]) ).

cnf(f_1309_9,plain,
    ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_7143,U_7142,U_7140),hAPP_v834067052t_char(val_list_char,sK999(U_7143,U_7142,U_7141,U_7140,U_7139,U_7138))),sK1000(U_7143,U_7142,U_7141,U_7140,U_7139,U_7138)))
    | U_7139 = cons_exp_list_char(throw_list_char(sK1002(U_7143,U_7142,U_7141,U_7140,U_7139,U_7138)),U_7141)
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(U_7143,cons_exp_list_char(U_7142,U_7141),U_7140),U_7139),U_7138)) ),
    inference(clausify,[status(thm)],[f_1309_6]) ).

cnf(f_1309_10,plain,
    ( hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(U_7143,U_7141,sK1000(U_7143,U_7142,U_7141,U_7140,U_7139,U_7138)),sK1001(U_7143,U_7142,U_7141,U_7140,U_7139,U_7138)),U_7138))
    | U_7139 = cons_exp_list_char(throw_list_char(sK1002(U_7143,U_7142,U_7141,U_7140,U_7139,U_7138)),U_7141)
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(U_7143,cons_exp_list_char(U_7142,U_7141),U_7140),U_7139),U_7138)) ),
    inference(clausify,[status(thm)],[f_1309_6]) ).

cnf(f_1309_11,plain,
    ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_7143,U_7142,U_7140),hAPP_v834067052t_char(val_list_char,sK999(U_7143,U_7142,U_7141,U_7140,U_7139,U_7138))),sK1000(U_7143,U_7142,U_7141,U_7140,U_7139,U_7138)))
    | hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_7143,U_7142,U_7140),throw_list_char(sK1002(U_7143,U_7142,U_7141,U_7140,U_7139,U_7138))),U_7138))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(U_7143,cons_exp_list_char(U_7142,U_7141),U_7140),U_7139),U_7138)) ),
    inference(clausify,[status(thm)],[f_1309_6]) ).

cnf(f_1309_12,plain,
    ( hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(U_7143,U_7141,sK1000(U_7143,U_7142,U_7141,U_7140,U_7139,U_7138)),sK1001(U_7143,U_7142,U_7141,U_7140,U_7139,U_7138)),U_7138))
    | hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_7143,U_7142,U_7140),throw_list_char(sK1002(U_7143,U_7142,U_7141,U_7140,U_7139,U_7138))),U_7138))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(U_7143,cons_exp_list_char(U_7142,U_7141),U_7140),U_7139),U_7138)) ),
    inference(clausify,[status(thm)],[f_1309_6]) ).

fof(f_1310_1,plain,
    ! [Pa,Esa,S,Es_a,S_2] :
      ( hBOOL(finals_list_char(Es_a))
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,Esa,S),Es_a),S_2)) ),
    inference(fof_nnf,[status(thm)],[fact_1168_evals__final]) ).

fof(f_1310_2,plain,
    ! [U_7148,U_7147,U_7146,U_7145,U_7144] :
      ( hBOOL(finals_list_char(U_7145))
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(U_7148,U_7147,U_7146),U_7145),U_7144)) ),
    inference(variable_rename,[status(thm)],[f_1310_1]) ).

fof(f_1310_3,plain,
    ! [U_7148,U_7147,U_7146,U_7145] :
      ( ! [U_7144] : ~ hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(U_7148,U_7147,U_7146),U_7145),U_7144))
      | hBOOL(finals_list_char(U_7145)) ),
    inference(miniscope,[status(thm)],[f_1310_2]) ).

cnf(f_1310_4,plain,
    ( ~ hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(U_7148,U_7147,U_7146),U_7145),U_7144))
    | hBOOL(finals_list_char(U_7145)) ),
    inference(clausify,[status(thm)],[f_1310_3]) ).

fof(f_1311_1,plain,
    ! [Pa,S,Esa] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,Esa,S),Esa),S))
      | ~ hBOOL(finals_list_char(Esa)) ),
    inference(fof_nnf,[status(thm)],[fact_1169_eval__finalsId]) ).

fof(f_1311_2,plain,
    ! [U_7151,U_7150,U_7149] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(U_7151,U_7149,U_7150),U_7149),U_7150))
      | ~ hBOOL(finals_list_char(U_7149)) ),
    inference(variable_rename,[status(thm)],[f_1311_1]) ).

cnf(f_1311_3,plain,
    ( hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(U_7151,U_7149,U_7150),U_7149),U_7150))
    | ~ hBOOL(finals_list_char(U_7149)) ),
    inference(clausify,[status(thm)],[f_1311_2]) ).

fof(f_1312_1,plain,
    ! [Ea,Ts,Esa,S,Es_a,S_2,Pa] :
      ( hBOOL(hAPP_P159683425l_bool(typeSa1700205512_sconf(Pa,Ea),S_2))
      | ~ hBOOL(hAPP_P159683425l_bool(typeSa1700205512_sconf(Pa,Ea),S))
      | ~ hBOOL(wTrts_1(Pa,hp(S),Ea,Esa,Ts))
      | ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Esa),S)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Es_a),S_2))),reds(Pa))) ),
    inference(fof_nnf,[status(thm)],[fact_1170_reds__preserves__sconf]) ).

fof(f_1312_2,plain,
    ! [U_7158,U_7157,U_7156,U_7155,U_7154,U_7153,U_7152] :
      ( hBOOL(hAPP_P159683425l_bool(typeSa1700205512_sconf(U_7152,U_7158),U_7153))
      | ~ hBOOL(hAPP_P159683425l_bool(typeSa1700205512_sconf(U_7152,U_7158),U_7155))
      | ~ hBOOL(wTrts_1(U_7152,hp(U_7155),U_7158,U_7156,U_7157))
      | ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_7156),U_7155)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_7154),U_7153))),reds(U_7152))) ),
    inference(variable_rename,[status(thm)],[f_1312_1]) ).

cnf(f_1312_3,plain,
    ( hBOOL(hAPP_P159683425l_bool(typeSa1700205512_sconf(U_7152,U_7158),U_7153))
    | ~ hBOOL(hAPP_P159683425l_bool(typeSa1700205512_sconf(U_7152,U_7158),U_7155))
    | ~ hBOOL(wTrts_1(U_7152,hp(U_7155),U_7158,U_7156,U_7157))
    | ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_7156),U_7155)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_7154),U_7153))),reds(U_7152))) ),
    inference(clausify,[status(thm)],[f_1312_2]) ).

fof(f_1313_1,plain,
    ! [Esa,Ts,Pa,Hb,Ea,Eb,Ta] :
      ( hBOOL(wTrts_1(Pa,Hb,Ea,cons_exp_list_char(Eb,Esa),cons_ty(Ta,Ts)))
      | ~ hBOOL(wTrts_1(Pa,Hb,Ea,Esa,Ts))
      | ~ hBOOL(wTrt_1(Pa,Hb,Ea,Eb,Ta)) ),
    inference(fof_nnf,[status(thm)],[fact_1171_WTrtCons]) ).

fof(f_1313_2,plain,
    ! [U_7165,U_7164,U_7163,U_7162,U_7161,U_7160,U_7159] :
      ( hBOOL(wTrts_1(U_7163,U_7162,U_7161,cons_exp_list_char(U_7160,U_7165),cons_ty(U_7159,U_7164)))
      | ~ hBOOL(wTrts_1(U_7163,U_7162,U_7161,U_7165,U_7164))
      | ~ hBOOL(wTrt_1(U_7163,U_7162,U_7161,U_7160,U_7159)) ),
    inference(variable_rename,[status(thm)],[f_1313_1]) ).

cnf(f_1313_3,plain,
    ( hBOOL(wTrts_1(U_7163,U_7162,U_7161,cons_exp_list_char(U_7160,U_7165),cons_ty(U_7159,U_7164)))
    | ~ hBOOL(wTrts_1(U_7163,U_7162,U_7161,U_7165,U_7164))
    | ~ hBOOL(wTrt_1(U_7163,U_7162,U_7161,U_7160,U_7159)) ),
    inference(clausify,[status(thm)],[f_1313_2]) ).

fof(f_1314_1,plain,
    ! [H_b,Pa,Hb,Ea,Esa,Ts] :
      ( hBOOL(wTrts_1(Pa,H_b,Ea,Esa,Ts))
      | ~ hBOOL(hext(Hb,H_b))
      | ~ hBOOL(wTrts_1(Pa,Hb,Ea,Esa,Ts)) ),
    inference(fof_nnf,[status(thm)],[fact_1172_WTrts__hext__mono]) ).

fof(f_1314_2,plain,
    ! [U_7171,U_7170,U_7169,U_7168,U_7167,U_7166] :
      ( hBOOL(wTrts_1(U_7170,U_7171,U_7168,U_7167,U_7166))
      | ~ hBOOL(hext(U_7169,U_7171))
      | ~ hBOOL(wTrts_1(U_7170,U_7169,U_7168,U_7167,U_7166)) ),
    inference(variable_rename,[status(thm)],[f_1314_1]) ).

cnf(f_1314_3,plain,
    ( hBOOL(wTrts_1(U_7170,U_7171,U_7168,U_7167,U_7166))
    | ~ hBOOL(hext(U_7169,U_7171))
    | ~ hBOOL(wTrts_1(U_7170,U_7169,U_7168,U_7167,U_7166)) ),
    inference(clausify,[status(thm)],[f_1314_2]) ).

fof(f_1315_1,plain,
    ! [M,Ta,Esa,Ts,Pa,Hb,Ea,Eb] :
      ( hBOOL(wTrt_1(Pa,Hb,Ea,call_list_char(Eb,M,Esa),Ta))
      | ~ hBOOL(wTrts_1(Pa,Hb,Ea,Esa,Ts))
      | ~ hBOOL(wTrt_1(Pa,Hb,Ea,Eb,nt)) ),
    inference(fof_nnf,[status(thm)],[fact_1173_WTrtCallNT]) ).

fof(f_1315_2,plain,
    ! [U_7179,U_7178,U_7177,U_7176,U_7175,U_7174,U_7173,U_7172] :
      ( hBOOL(wTrt_1(U_7175,U_7174,U_7173,call_list_char(U_7172,U_7179,U_7177),U_7178))
      | ~ hBOOL(wTrts_1(U_7175,U_7174,U_7173,U_7177,U_7176))
      | ~ hBOOL(wTrt_1(U_7175,U_7174,U_7173,U_7172,nt)) ),
    inference(variable_rename,[status(thm)],[f_1315_1]) ).

cnf(f_1315_3,plain,
    ( hBOOL(wTrt_1(U_7175,U_7174,U_7173,call_list_char(U_7172,U_7179,U_7177),U_7178))
    | ~ hBOOL(wTrts_1(U_7175,U_7174,U_7173,U_7177,U_7176))
    | ~ hBOOL(wTrt_1(U_7175,U_7174,U_7173,U_7172,nt)) ),
    inference(clausify,[status(thm)],[f_1315_2]) ).

fof(f_1316_1,plain,
    ! [Pa,Hb,Ea,Vs_1,Ts] :
      ( ( hBOOL(wTrts_1(Pa,Hb,Ea,map_va1934808527t_char(val_list_char,Vs_1),Ts))
        | map_val_option_ty(typeof_h(Hb),Vs_1) != map_ty_option_ty(some_ty,Ts) )
      & ( map_val_option_ty(typeof_h(Hb),Vs_1) = map_ty_option_ty(some_ty,Ts)
        | ~ hBOOL(wTrts_1(Pa,Hb,Ea,map_va1934808527t_char(val_list_char,Vs_1),Ts)) ) ),
    inference(fof_nnf,[status(thm)],[fact_1174_WTrts__Val]) ).

fof(f_1316_2,plain,
    ! [U_7184,U_7183,U_7182,U_7181,U_7180] :
      ( ( hBOOL(wTrts_1(U_7184,U_7183,U_7182,map_va1934808527t_char(val_list_char,U_7181),U_7180))
        | map_val_option_ty(typeof_h(U_7183),U_7181) != map_ty_option_ty(some_ty,U_7180) )
      & ( map_val_option_ty(typeof_h(U_7183),U_7181) = map_ty_option_ty(some_ty,U_7180)
        | ~ hBOOL(wTrts_1(U_7184,U_7183,U_7182,map_va1934808527t_char(val_list_char,U_7181),U_7180)) ) ),
    inference(variable_rename,[status(thm)],[f_1316_1]) ).

fof(f_1316_3,plain,
    ( ! [U_7194,U_7192,U_7190,U_7188,U_7186] :
        ( hBOOL(wTrts_1(U_7194,U_7192,U_7190,map_va1934808527t_char(val_list_char,U_7188),U_7186))
        | map_val_option_ty(typeof_h(U_7192),U_7188) != map_ty_option_ty(some_ty,U_7186) )
    & ! [U_7193,U_7191,U_7189,U_7187,U_7185] :
        ( map_val_option_ty(typeof_h(U_7191),U_7187) = map_ty_option_ty(some_ty,U_7185)
        | ~ hBOOL(wTrts_1(U_7193,U_7191,U_7189,map_va1934808527t_char(val_list_char,U_7187),U_7185)) ) ),
    inference(miniscope,[status(thm)],[f_1316_2]) ).

cnf(f_1316_4,plain,
    ( map_val_option_ty(typeof_h(U_7191),U_7187) = map_ty_option_ty(some_ty,U_7185)
    | ~ hBOOL(wTrts_1(U_7193,U_7191,U_7189,map_va1934808527t_char(val_list_char,U_7187),U_7185)) ),
    inference(clausify,[status(thm)],[f_1316_3]) ).

cnf(f_1316_5,plain,
    ( hBOOL(wTrts_1(U_7194,U_7192,U_7190,map_va1934808527t_char(val_list_char,U_7188),U_7186))
    | map_val_option_ty(typeof_h(U_7192),U_7188) != map_ty_option_ty(some_ty,U_7186) ),
    inference(clausify,[status(thm)],[f_1316_3]) ).

fof(f_1317_1,plain,
    ! [Ea,Ts,Esa,Hb,Lb,Es_a,H_b,L_b,Pa] :
      ( hBOOL(hAPP_f61040418l_bool(hconf_97414254t_char(Pa),H_b))
      | ~ hBOOL(hAPP_f61040418l_bool(hconf_97414254t_char(Pa),Hb))
      | ~ hBOOL(wTrts_1(Pa,Hb,Ea,Esa,Ts))
      | ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Esa),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb))),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Es_a),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),L_b)))),reds(Pa))) ),
    inference(fof_nnf,[status(thm)],[fact_1175_reds__preserves__hconf]) ).

fof(f_1317_2,plain,
    ! [U_7203,U_7202,U_7201,U_7200,U_7199,U_7198,U_7197,U_7196,U_7195] :
      ( hBOOL(hAPP_f61040418l_bool(hconf_97414254t_char(U_7195),U_7197))
      | ~ hBOOL(hAPP_f61040418l_bool(hconf_97414254t_char(U_7195),U_7200))
      | ~ hBOOL(wTrts_1(U_7195,U_7200,U_7203,U_7201,U_7202))
      | ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_7201),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_7200),U_7199))),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_7198),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_7197),U_7196)))),reds(U_7195))) ),
    inference(variable_rename,[status(thm)],[f_1317_1]) ).

cnf(f_1317_3,plain,
    ( hBOOL(hAPP_f61040418l_bool(hconf_97414254t_char(U_7195),U_7197))
    | ~ hBOOL(hAPP_f61040418l_bool(hconf_97414254t_char(U_7195),U_7200))
    | ~ hBOOL(wTrts_1(U_7195,U_7200,U_7203,U_7201,U_7202))
    | ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_7201),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_7200),U_7199))),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_7198),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_7197),U_7196)))),reds(U_7195))) ),
    inference(clausify,[status(thm)],[f_1317_2]) ).

fof(f_1318_1,plain,
    ! [Ea,Ts,Esa,Hb,Lb,Es_a,H_b,L_b,Pa] :
      ( hBOOL(hAPP_f1001225811y_bool(hAPP_f2060496320y_bool(hAPP_f1213370163y_bool(lconf_496643946t_char(Pa),H_b),L_b),Ea))
      | ~ hBOOL(hAPP_f1001225811y_bool(hAPP_f2060496320y_bool(hAPP_f1213370163y_bool(lconf_496643946t_char(Pa),Hb),Lb),Ea))
      | ~ hBOOL(wTrts_1(Pa,Hb,Ea,Esa,Ts))
      | ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Esa),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb))),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Es_a),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),L_b)))),reds(Pa))) ),
    inference(fof_nnf,[status(thm)],[fact_1176_reds__preserves__lconf]) ).

fof(f_1318_2,plain,
    ! [U_7212,U_7211,U_7210,U_7209,U_7208,U_7207,U_7206,U_7205,U_7204] :
      ( hBOOL(hAPP_f1001225811y_bool(hAPP_f2060496320y_bool(hAPP_f1213370163y_bool(lconf_496643946t_char(U_7204),U_7206),U_7205),U_7212))
      | ~ hBOOL(hAPP_f1001225811y_bool(hAPP_f2060496320y_bool(hAPP_f1213370163y_bool(lconf_496643946t_char(U_7204),U_7209),U_7208),U_7212))
      | ~ hBOOL(wTrts_1(U_7204,U_7209,U_7212,U_7210,U_7211))
      | ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_7210),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_7209),U_7208))),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_7207),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_7206),U_7205)))),reds(U_7204))) ),
    inference(variable_rename,[status(thm)],[f_1318_1]) ).

cnf(f_1318_3,plain,
    ( hBOOL(hAPP_f1001225811y_bool(hAPP_f2060496320y_bool(hAPP_f1213370163y_bool(lconf_496643946t_char(U_7204),U_7206),U_7205),U_7212))
    | ~ hBOOL(hAPP_f1001225811y_bool(hAPP_f2060496320y_bool(hAPP_f1213370163y_bool(lconf_496643946t_char(U_7204),U_7209),U_7208),U_7212))
    | ~ hBOOL(wTrts_1(U_7204,U_7209,U_7212,U_7210,U_7211))
    | ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_7210),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_7209),U_7208))),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_7207),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_7206),U_7205)))),reds(U_7204))) ),
    inference(clausify,[status(thm)],[f_1318_2]) ).

fof(f_1319_1,plain,
    ! [Pa,X_1,Xa,Xb,Xc] :
      ( ( hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(redsp(Pa,X_1,Xa),Xb),Xc))
        | ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,X_1),Xa)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Xb),Xc))),reds(Pa))) )
      & ( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,X_1),Xa)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Xb),Xc))),reds(Pa)))
        | ~ hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(redsp(Pa,X_1,Xa),Xb),Xc)) ) ),
    inference(fof_nnf,[status(thm)],[fact_1177_redsp__reds__eq]) ).

fof(f_1319_2,plain,
    ! [U_7217,U_7216,U_7215,U_7214,U_7213] :
      ( ( hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(redsp(U_7217,U_7216,U_7215),U_7214),U_7213))
        | ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_7216),U_7215)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_7214),U_7213))),reds(U_7217))) )
      & ( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_7216),U_7215)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_7214),U_7213))),reds(U_7217)))
        | ~ hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(redsp(U_7217,U_7216,U_7215),U_7214),U_7213)) ) ),
    inference(variable_rename,[status(thm)],[f_1319_1]) ).

fof(f_1319_3,plain,
    ( ! [U_7227,U_7225,U_7223,U_7221,U_7219] :
        ( hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(redsp(U_7227,U_7225,U_7223),U_7221),U_7219))
        | ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_7225),U_7223)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_7221),U_7219))),reds(U_7227))) )
    & ! [U_7226,U_7224,U_7222,U_7220,U_7218] :
        ( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_7224),U_7222)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_7220),U_7218))),reds(U_7226)))
        | ~ hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(redsp(U_7226,U_7224,U_7222),U_7220),U_7218)) ) ),
    inference(miniscope,[status(thm)],[f_1319_2]) ).

cnf(f_1319_4,plain,
    ( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_7224),U_7222)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_7220),U_7218))),reds(U_7226)))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(redsp(U_7226,U_7224,U_7222),U_7220),U_7218)) ),
    inference(clausify,[status(thm)],[f_1319_3]) ).

cnf(f_1319_5,plain,
    ( hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(redsp(U_7227,U_7225,U_7223),U_7221),U_7219))
    | ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_7225),U_7223)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_7221),U_7219))),reds(U_7227))) ),
    inference(clausify,[status(thm)],[f_1319_3]) ).

fof(f_1320_1,plain,
    ! [V_1,Vs_3,T,Ts_3,V,Vs_2,E] : blocks(hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,cons_list_char(V_1,Vs_3)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,cons_ty(T,Ts_3)),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,cons_val(V,Vs_2)),E)))) = block_list_char(V_1,T,seq_list_char(lAss_list_char(V_1,hAPP_v834067052t_char(val_list_char,V)),blocks(hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,Vs_3),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,Ts_3),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,Vs_2),E)))))),
    inference(fof_nnf,[status(thm)],[fact_1178_blocks_Osimps_I1_J]) ).

fof(f_1320_2,plain,
    ! [U_7234,U_7233,U_7232,U_7231,U_7230,U_7229,U_7228] : blocks(hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,cons_list_char(U_7234,U_7233)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,cons_ty(U_7232,U_7231)),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,cons_val(U_7230,U_7229)),U_7228)))) = block_list_char(U_7234,U_7232,seq_list_char(lAss_list_char(U_7234,hAPP_v834067052t_char(val_list_char,U_7230)),blocks(hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_7233),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_7231),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_7229),U_7228)))))),
    inference(variable_rename,[status(thm)],[f_1320_1]) ).

cnf(f_1320_3,plain,
    blocks(hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,cons_list_char(U_7234,U_7233)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,cons_ty(U_7232,U_7231)),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,cons_val(U_7230,U_7229)),U_7228)))) = block_list_char(U_7234,U_7232,seq_list_char(lAss_list_char(U_7234,hAPP_v834067052t_char(val_list_char,U_7230)),blocks(hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_7233),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_7231),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_7229),U_7228)))))),
    inference(clausify,[status(thm)],[f_1320_2]) ).

fof(f_1321_1,plain,
    ! [Va,Pa,Esa,S,Es_a,S_2] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(redsp(Pa,cons_exp_list_char(hAPP_v834067052t_char(val_list_char,Va),Esa),S),cons_exp_list_char(hAPP_v834067052t_char(val_list_char,Va),Es_a)),S_2))
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(redsp(Pa,Esa,S),Es_a),S_2)) ),
    inference(fof_nnf,[status(thm)],[fact_1179_redp__redsp_OListRed2]) ).

fof(f_1321_2,plain,
    ! [U_7240,U_7239,U_7238,U_7237,U_7236,U_7235] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(redsp(U_7239,cons_exp_list_char(hAPP_v834067052t_char(val_list_char,U_7240),U_7238),U_7237),cons_exp_list_char(hAPP_v834067052t_char(val_list_char,U_7240),U_7236)),U_7235))
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(redsp(U_7239,U_7238,U_7237),U_7236),U_7235)) ),
    inference(variable_rename,[status(thm)],[f_1321_1]) ).

cnf(f_1321_3,plain,
    ( hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(redsp(U_7239,cons_exp_list_char(hAPP_v834067052t_char(val_list_char,U_7240),U_7238),U_7237),cons_exp_list_char(hAPP_v834067052t_char(val_list_char,U_7240),U_7236)),U_7235))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(redsp(U_7239,U_7238,U_7237),U_7236),U_7235)) ),
    inference(clausify,[status(thm)],[f_1321_2]) ).

fof(f_1322_1,plain,
    ! [Esa,Pa,Eb,S,E_b,S_2] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(redsp(Pa,cons_exp_list_char(Eb,Esa),S),cons_exp_list_char(E_b,Esa)),S_2))
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Eb,S),E_b),S_2)) ),
    inference(fof_nnf,[status(thm)],[fact_1180_redp__redsp_OListRed1]) ).

fof(f_1322_2,plain,
    ! [U_7246,U_7245,U_7244,U_7243,U_7242,U_7241] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(redsp(U_7245,cons_exp_list_char(U_7244,U_7246),U_7243),cons_exp_list_char(U_7242,U_7246)),U_7241))
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(U_7245,U_7244,U_7243),U_7242),U_7241)) ),
    inference(variable_rename,[status(thm)],[f_1322_1]) ).

cnf(f_1322_3,plain,
    ( hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(redsp(U_7245,cons_exp_list_char(U_7244,U_7246),U_7243),cons_exp_list_char(U_7242,U_7246)),U_7241))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(U_7245,U_7244,U_7243),U_7242),U_7241)) ),
    inference(clausify,[status(thm)],[f_1322_2]) ).

fof(f_1323_1,plain,
    ! [Va,M,Pa,Esa,S,Es_a,S_2] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,call_list_char(hAPP_v834067052t_char(val_list_char,Va),M,Esa),S),call_list_char(hAPP_v834067052t_char(val_list_char,Va),M,Es_a)),S_2))
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(redsp(Pa,Esa,S),Es_a),S_2)) ),
    inference(fof_nnf,[status(thm)],[fact_1181_redp__redsp_OCallParams]) ).

fof(f_1323_2,plain,
    ! [U_7253,U_7252,U_7251,U_7250,U_7249,U_7248,U_7247] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(U_7251,call_list_char(hAPP_v834067052t_char(val_list_char,U_7253),U_7252,U_7250),U_7249),call_list_char(hAPP_v834067052t_char(val_list_char,U_7253),U_7252,U_7248)),U_7247))
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(redsp(U_7251,U_7250,U_7249),U_7248),U_7247)) ),
    inference(variable_rename,[status(thm)],[f_1323_1]) ).

cnf(f_1323_3,plain,
    ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(U_7251,call_list_char(hAPP_v834067052t_char(val_list_char,U_7253),U_7252,U_7250),U_7249),call_list_char(hAPP_v834067052t_char(val_list_char,U_7253),U_7252,U_7248)),U_7247))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(redsp(U_7251,U_7250,U_7249),U_7248),U_7247)) ),
    inference(clausify,[status(thm)],[f_1323_2]) ).

fof(f_1324_1,plain,
    ! [Jmdcl,C,D,Fds,Mths,Pa] :
      ( hBOOL(hAPP_P1384137393r_bool(hAPP_l2054741776r_bool(hAPP_l2138409430r_bool(wf_J_mdecl,Pa),C),Jmdcl))
      | ~ hBOOL(hAPP_f483496539l_bool(hAPP_P7095645l_bool(member1601084734t_char,Jmdcl),set_Pr2033386304t_char(Mths)))
      | ~ hBOOL(hAPP_f515912112l_bool(hAPP_P205570445l_bool(member1467889965t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,C),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,D),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,Fds),Mths)))),set_Pr1494163115t_char(Pa)))
      | ~ hBOOL(wf_pro755087577t_char(wf_J_mdecl,Pa)) ),
    inference(fof_nnf,[status(thm)],[fact_1182_wf__J__prog__wf__J__mdecl]) ).

fof(f_1324_2,plain,
    ! [U_7259,U_7258,U_7257,U_7256,U_7255,U_7254] :
      ( hBOOL(hAPP_P1384137393r_bool(hAPP_l2054741776r_bool(hAPP_l2138409430r_bool(wf_J_mdecl,U_7254),U_7258),U_7259))
      | ~ hBOOL(hAPP_f483496539l_bool(hAPP_P7095645l_bool(member1601084734t_char,U_7259),set_Pr2033386304t_char(U_7255)))
      | ~ hBOOL(hAPP_f515912112l_bool(hAPP_P205570445l_bool(member1467889965t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_7258),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_7257),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_7256),U_7255)))),set_Pr1494163115t_char(U_7254)))
      | ~ hBOOL(wf_pro755087577t_char(wf_J_mdecl,U_7254)) ),
    inference(variable_rename,[status(thm)],[f_1324_1]) ).

cnf(f_1324_3,plain,
    ( hBOOL(hAPP_P1384137393r_bool(hAPP_l2054741776r_bool(hAPP_l2138409430r_bool(wf_J_mdecl,U_7254),U_7258),U_7259))
    | ~ hBOOL(hAPP_f483496539l_bool(hAPP_P7095645l_bool(member1601084734t_char,U_7259),set_Pr2033386304t_char(U_7255)))
    | ~ hBOOL(hAPP_f515912112l_bool(hAPP_P205570445l_bool(member1467889965t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,U_7258),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,U_7257),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,U_7256),U_7255)))),set_Pr1494163115t_char(U_7254)))
    | ~ hBOOL(wf_pro755087577t_char(wf_J_mdecl,U_7254)) ),
    inference(clausify,[status(thm)],[f_1324_2]) ).

fof(f_1325_1,plain,
    ! [Ef,H_3,L_3,L_2_1,M,Ts,Ta,Pns,Body,D,C,Fs,Esa,Vs_1,H_2,L_2,Eb,S_0,A,S_1,Pa] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,call_list_char(Eb,M,Esa)),S_0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Ef),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_3),L_2)))),transi2024712006on_val(red(Pa))))
      | ~ hBOOL(final_list_char(Ef))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Body),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_2),L_2_1))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Ef),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_3),L_3)))),transi2024712006on_val(red(Pa))))
      | L_2_1 != map_up1085636310ar_val(fun_up1149430426on_val(hAPP_o538043682on_val(cOMBK_1097134891t_char,none_val),this,hAPP_val_option_val(some_val,addr(A))),Pns,Vs_1)
      | size_size_list_val(Vs_1) != size_s2113983095t_char(Pns)
      | ~ hBOOL(hAPP_list_char_bool(method1809630380t_char(Pa,C,M,Ts,Ta,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,Pns),Body)),D))
      | hAPP_n546249108on_val(H_2,A) != hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),Fs))
      | ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Esa),S_1)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,map_va1934808527t_char(val_list_char,Vs_1)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_2),L_2)))),transi374442731on_val(reds(Pa))))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S_0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,addr(A))),S_1))),transi2024712006on_val(red(Pa))))
      | ~ hBOOL(wf_pro755087577t_char(wwf_J_mdecl,Pa)) ),
    inference(fof_nnf,[status(thm)],[fact_1183_CallRedsFinal]) ).

fof(f_1325_2,plain,
    ! [U_7280,U_7279,U_7278,U_7277,U_7276,U_7275,U_7274,U_7273,U_7272,U_7271,U_7270,U_7269,U_7268,U_7267,U_7266,U_7265,U_7264,U_7263,U_7262,U_7261,U_7260] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,call_list_char(U_7264,U_7276,U_7268)),U_7263)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_7280),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_7279),U_7265)))),transi2024712006on_val(red(U_7260))))
      | ~ hBOOL(final_list_char(U_7280))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_7272),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_7266),U_7277))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_7280),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_7279),U_7278)))),transi2024712006on_val(red(U_7260))))
      | U_7277 != map_up1085636310ar_val(fun_up1149430426on_val(hAPP_o538043682on_val(cOMBK_1097134891t_char,none_val),this,hAPP_val_option_val(some_val,addr(U_7262))),U_7273,U_7267)
      | size_size_list_val(U_7267) != size_s2113983095t_char(U_7273)
      | ~ hBOOL(hAPP_list_char_bool(method1809630380t_char(U_7260,U_7270,U_7276,U_7275,U_7274,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_7273),U_7272)),U_7271))
      | hAPP_n546249108on_val(U_7266,U_7262) != hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_7270),U_7269))
      | ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_7268),U_7261)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,map_va1934808527t_char(val_list_char,U_7267)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_7266),U_7265)))),transi374442731on_val(reds(U_7260))))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_7264),U_7263)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,addr(U_7262))),U_7261))),transi2024712006on_val(red(U_7260))))
      | ~ hBOOL(wf_pro755087577t_char(wwf_J_mdecl,U_7260)) ),
    inference(variable_rename,[status(thm)],[f_1325_1]) ).

cnf(f_1325_3,plain,
    ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,call_list_char(U_7264,U_7276,U_7268)),U_7263)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_7280),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_7279),U_7265)))),transi2024712006on_val(red(U_7260))))
    | ~ hBOOL(final_list_char(U_7280))
    | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_7272),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_7266),U_7277))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_7280),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_7279),U_7278)))),transi2024712006on_val(red(U_7260))))
    | U_7277 != map_up1085636310ar_val(fun_up1149430426on_val(hAPP_o538043682on_val(cOMBK_1097134891t_char,none_val),this,hAPP_val_option_val(some_val,addr(U_7262))),U_7273,U_7267)
    | size_size_list_val(U_7267) != size_s2113983095t_char(U_7273)
    | ~ hBOOL(hAPP_list_char_bool(method1809630380t_char(U_7260,U_7270,U_7276,U_7275,U_7274,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_7273),U_7272)),U_7271))
    | hAPP_n546249108on_val(U_7266,U_7262) != hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_7270),U_7269))
    | ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,U_7268),U_7261)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,map_va1934808527t_char(val_list_char,U_7267)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_7266),U_7265)))),transi374442731on_val(reds(U_7260))))
    | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_7264),U_7263)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,addr(U_7262))),U_7261))),transi2024712006on_val(red(U_7260))))
    | ~ hBOOL(wf_pro755087577t_char(wwf_J_mdecl,U_7260)) ),
    inference(clausify,[status(thm)],[f_1325_2]) ).

fof(f_1326_1,plain,
    ! [E_b,H_3,L_3,L_2_1,M,Ts,Ta,Pns,Body,D,C,Fs,Ps,Vs_1,H_2,L_2,Pa,Eb,S_0,A,S_1] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,call_list_char(Eb,M,Ps),S_0),E_b),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_3),L_2)))
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Body,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_2),L_2_1)),E_b),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_3),L_3)))
      | L_2_1 != map_up1085636310ar_val(fun_up1149430426on_val(hAPP_o538043682on_val(cOMBK_1097134891t_char,none_val),this,hAPP_val_option_val(some_val,addr(A))),Pns,Vs_1)
      | size_size_list_val(Vs_1) != size_s2113983095t_char(Pns)
      | ~ hBOOL(hAPP_list_char_bool(method1809630380t_char(Pa,C,M,Ts,Ta,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,Pns),Body)),D))
      | hAPP_n546249108on_val(H_2,A) != hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),Fs))
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,Ps,S_1),map_va1934808527t_char(val_list_char,Vs_1)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_2),L_2)))
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S_0),hAPP_v834067052t_char(val_list_char,addr(A))),S_1)) ),
    inference(fof_nnf,[status(thm)],[fact_1184_Call]) ).

fof(f_1326_2,plain,
    ! [U_7301,U_7300,U_7299,U_7298,U_7297,U_7296,U_7295,U_7294,U_7293,U_7292,U_7291,U_7290,U_7289,U_7288,U_7287,U_7286,U_7285,U_7284,U_7283,U_7282,U_7281] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_7285,call_list_char(U_7284,U_7297,U_7289),U_7283),U_7301),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_7300),U_7286)))
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_7285,U_7293,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_7287),U_7298)),U_7301),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_7300),U_7299)))
      | U_7298 != map_up1085636310ar_val(fun_up1149430426on_val(hAPP_o538043682on_val(cOMBK_1097134891t_char,none_val),this,hAPP_val_option_val(some_val,addr(U_7282))),U_7294,U_7288)
      | size_size_list_val(U_7288) != size_s2113983095t_char(U_7294)
      | ~ hBOOL(hAPP_list_char_bool(method1809630380t_char(U_7285,U_7291,U_7297,U_7296,U_7295,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_7294),U_7293)),U_7292))
      | hAPP_n546249108on_val(U_7287,U_7282) != hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_7291),U_7290))
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(U_7285,U_7289,U_7281),map_va1934808527t_char(val_list_char,U_7288)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_7287),U_7286)))
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_7285,U_7284,U_7283),hAPP_v834067052t_char(val_list_char,addr(U_7282))),U_7281)) ),
    inference(variable_rename,[status(thm)],[f_1326_1]) ).

cnf(f_1326_3,plain,
    ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_7285,call_list_char(U_7284,U_7297,U_7289),U_7283),U_7301),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_7300),U_7286)))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_7285,U_7293,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_7287),U_7298)),U_7301),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_7300),U_7299)))
    | U_7298 != map_up1085636310ar_val(fun_up1149430426on_val(hAPP_o538043682on_val(cOMBK_1097134891t_char,none_val),this,hAPP_val_option_val(some_val,addr(U_7282))),U_7294,U_7288)
    | size_size_list_val(U_7288) != size_s2113983095t_char(U_7294)
    | ~ hBOOL(hAPP_list_char_bool(method1809630380t_char(U_7285,U_7291,U_7297,U_7296,U_7295,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_7294),U_7293)),U_7292))
    | hAPP_n546249108on_val(U_7287,U_7282) != hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_7291),U_7290))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(U_7285,U_7289,U_7281),map_va1934808527t_char(val_list_char,U_7288)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_7287),U_7286)))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_7285,U_7284,U_7283),hAPP_v834067052t_char(val_list_char,addr(U_7282))),U_7281)) ),
    inference(clausify,[status(thm)],[f_1326_2]) ).

fof(f_1327_1,plain,
    ! [Vs_1,Pa,M,Ts,Ta,Pns,Body,D,S,A,C,Fs] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,call_list_char(hAPP_v834067052t_char(val_list_char,addr(A)),M,map_va1934808527t_char(val_list_char,Vs_1))),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,blocks(hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,cons_list_char(this,Pns)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,cons_ty(hAPP_list_char_ty(class,D),Ts)),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,cons_val(addr(A),Vs_1)),Body))))),S))),red(Pa)))
      | size_size_list_ty(Ts) != size_s2113983095t_char(Pns)
      | size_size_list_val(Vs_1) != size_s2113983095t_char(Pns)
      | ~ hBOOL(hAPP_list_char_bool(method1809630380t_char(Pa,C,M,Ts,Ta,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,Pns),Body)),D))
      | hAPP_n546249108on_val(hp(S),A) != hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),Fs)) ),
    inference(fof_nnf,[status(thm)],[fact_1185_red__reds_ORedCall]) ).

fof(f_1327_2,plain,
    ! [U_7313,U_7312,U_7311,U_7310,U_7309,U_7308,U_7307,U_7306,U_7305,U_7304,U_7303,U_7302] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,call_list_char(hAPP_v834067052t_char(val_list_char,addr(U_7304)),U_7311,map_va1934808527t_char(val_list_char,U_7313))),U_7305)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,blocks(hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,cons_list_char(this,U_7308)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,cons_ty(hAPP_list_char_ty(class,U_7306),U_7310)),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,cons_val(addr(U_7304),U_7313)),U_7307))))),U_7305))),red(U_7312)))
      | size_size_list_ty(U_7310) != size_s2113983095t_char(U_7308)
      | size_size_list_val(U_7313) != size_s2113983095t_char(U_7308)
      | ~ hBOOL(hAPP_list_char_bool(method1809630380t_char(U_7312,U_7303,U_7311,U_7310,U_7309,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_7308),U_7307)),U_7306))
      | hAPP_n546249108on_val(hp(U_7305),U_7304) != hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_7303),U_7302)) ),
    inference(variable_rename,[status(thm)],[f_1327_1]) ).

fof(f_1327_3,plain,
    ! [U_7313,U_7312,U_7311,U_7310,U_7309,U_7308,U_7307,U_7306,U_7305,U_7304,U_7303] :
      ( ! [U_7302] : hAPP_n546249108on_val(hp(U_7305),U_7304) != hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_7303),U_7302))
      | hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,call_list_char(hAPP_v834067052t_char(val_list_char,addr(U_7304)),U_7311,map_va1934808527t_char(val_list_char,U_7313))),U_7305)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,blocks(hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,cons_list_char(this,U_7308)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,cons_ty(hAPP_list_char_ty(class,U_7306),U_7310)),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,cons_val(addr(U_7304),U_7313)),U_7307))))),U_7305))),red(U_7312)))
      | size_size_list_ty(U_7310) != size_s2113983095t_char(U_7308)
      | size_size_list_val(U_7313) != size_s2113983095t_char(U_7308)
      | ~ hBOOL(hAPP_list_char_bool(method1809630380t_char(U_7312,U_7303,U_7311,U_7310,U_7309,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_7308),U_7307)),U_7306)) ),
    inference(miniscope,[status(thm)],[f_1327_2]) ).

cnf(f_1327_4,plain,
    ( hAPP_n546249108on_val(hp(U_7305),U_7304) != hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_7303),U_7302))
    | hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,call_list_char(hAPP_v834067052t_char(val_list_char,addr(U_7304)),U_7311,map_va1934808527t_char(val_list_char,U_7313))),U_7305)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,blocks(hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,cons_list_char(this,U_7308)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,cons_ty(hAPP_list_char_ty(class,U_7306),U_7310)),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,cons_val(addr(U_7304),U_7313)),U_7307))))),U_7305))),red(U_7312)))
    | size_size_list_ty(U_7310) != size_s2113983095t_char(U_7308)
    | size_size_list_val(U_7313) != size_s2113983095t_char(U_7308)
    | ~ hBOOL(hAPP_list_char_bool(method1809630380t_char(U_7312,U_7303,U_7311,U_7310,U_7309,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_7308),U_7307)),U_7306)) ),
    inference(clausify,[status(thm)],[f_1327_3]) ).

fof(f_1328_1,plain,
    ! [Vs_1,Pa,M,Ts,Ta,Pns,Body,D,S,A,C,Fs] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,call_list_char(hAPP_v834067052t_char(val_list_char,addr(A)),M,map_va1934808527t_char(val_list_char,Vs_1)),S),blocks(hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,cons_list_char(this,Pns)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,cons_ty(hAPP_list_char_ty(class,D),Ts)),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,cons_val(addr(A),Vs_1)),Body))))),S))
      | size_size_list_ty(Ts) != size_s2113983095t_char(Pns)
      | size_size_list_val(Vs_1) != size_s2113983095t_char(Pns)
      | ~ hBOOL(hAPP_list_char_bool(method1809630380t_char(Pa,C,M,Ts,Ta,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,Pns),Body)),D))
      | hAPP_n546249108on_val(hp(S),A) != hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),Fs)) ),
    inference(fof_nnf,[status(thm)],[fact_1186_redp__redsp_ORedCall]) ).

fof(f_1328_2,plain,
    ! [U_7325,U_7324,U_7323,U_7322,U_7321,U_7320,U_7319,U_7318,U_7317,U_7316,U_7315,U_7314] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(U_7324,call_list_char(hAPP_v834067052t_char(val_list_char,addr(U_7316)),U_7323,map_va1934808527t_char(val_list_char,U_7325)),U_7317),blocks(hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,cons_list_char(this,U_7320)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,cons_ty(hAPP_list_char_ty(class,U_7318),U_7322)),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,cons_val(addr(U_7316),U_7325)),U_7319))))),U_7317))
      | size_size_list_ty(U_7322) != size_s2113983095t_char(U_7320)
      | size_size_list_val(U_7325) != size_s2113983095t_char(U_7320)
      | ~ hBOOL(hAPP_list_char_bool(method1809630380t_char(U_7324,U_7315,U_7323,U_7322,U_7321,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_7320),U_7319)),U_7318))
      | hAPP_n546249108on_val(hp(U_7317),U_7316) != hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_7315),U_7314)) ),
    inference(variable_rename,[status(thm)],[f_1328_1]) ).

fof(f_1328_3,plain,
    ! [U_7325,U_7324,U_7323,U_7322,U_7321,U_7320,U_7319,U_7318,U_7317,U_7316,U_7315] :
      ( ! [U_7314] : hAPP_n546249108on_val(hp(U_7317),U_7316) != hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_7315),U_7314))
      | hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(U_7324,call_list_char(hAPP_v834067052t_char(val_list_char,addr(U_7316)),U_7323,map_va1934808527t_char(val_list_char,U_7325)),U_7317),blocks(hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,cons_list_char(this,U_7320)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,cons_ty(hAPP_list_char_ty(class,U_7318),U_7322)),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,cons_val(addr(U_7316),U_7325)),U_7319))))),U_7317))
      | size_size_list_ty(U_7322) != size_s2113983095t_char(U_7320)
      | size_size_list_val(U_7325) != size_s2113983095t_char(U_7320)
      | ~ hBOOL(hAPP_list_char_bool(method1809630380t_char(U_7324,U_7315,U_7323,U_7322,U_7321,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_7320),U_7319)),U_7318)) ),
    inference(miniscope,[status(thm)],[f_1328_2]) ).

cnf(f_1328_4,plain,
    ( hAPP_n546249108on_val(hp(U_7317),U_7316) != hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,U_7315),U_7314))
    | hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(U_7324,call_list_char(hAPP_v834067052t_char(val_list_char,addr(U_7316)),U_7323,map_va1934808527t_char(val_list_char,U_7325)),U_7317),blocks(hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,cons_list_char(this,U_7320)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,cons_ty(hAPP_list_char_ty(class,U_7318),U_7322)),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,cons_val(addr(U_7316),U_7325)),U_7319))))),U_7317))
    | size_size_list_ty(U_7322) != size_s2113983095t_char(U_7320)
    | size_size_list_val(U_7325) != size_s2113983095t_char(U_7320)
    | ~ hBOOL(hAPP_list_char_bool(method1809630380t_char(U_7324,U_7315,U_7323,U_7322,U_7321,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_7320),U_7319)),U_7318)) ),
    inference(clausify,[status(thm)],[f_1328_3]) ).

fof(f_1329_1,plain,
    ! [Pa,Hb,Ea,Esa,Ts] :
      ( size_s1143674878t_char(Esa) = size_size_list_ty(Ts)
      | ~ hBOOL(wTrts_1(Pa,Hb,Ea,Esa,Ts)) ),
    inference(fof_nnf,[status(thm)],[fact_1187_WTrts__same__length]) ).

fof(f_1329_2,plain,
    ! [U_7330,U_7329,U_7328,U_7327,U_7326] :
      ( size_s1143674878t_char(U_7327) = size_size_list_ty(U_7326)
      | ~ hBOOL(wTrts_1(U_7330,U_7329,U_7328,U_7327,U_7326)) ),
    inference(variable_rename,[status(thm)],[f_1329_1]) ).

cnf(f_1329_3,plain,
    ( size_s1143674878t_char(U_7327) = size_size_list_ty(U_7326)
    | ~ hBOOL(wTrts_1(U_7330,U_7329,U_7328,U_7327,U_7326)) ),
    inference(clausify,[status(thm)],[f_1329_2]) ).

fof(f_1330_1,plain,
    ! [Hb,Lb,Pa,Eb,Vs_1,Vs,Ts] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,blocks(hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,Vs),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,Ts),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,Vs_1),Eb))))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb)))),transi2024712006on_val(red(Pa))))
      | ~ hBOOL(final_list_char(Eb))
      | size_size_list_val(Vs_1) != size_size_list_ty(Ts)
      | size_s2113983095t_char(Vs) != size_size_list_ty(Ts) ),
    inference(fof_nnf,[status(thm)],[fact_1188_blocksFinal]) ).

fof(f_1330_2,plain,
    ! [U_7337,U_7336,U_7335,U_7334,U_7333,U_7332,U_7331] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,blocks(hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_7332),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_7331),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_7333),U_7334))))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_7337),U_7336))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_7334),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_7337),U_7336)))),transi2024712006on_val(red(U_7335))))
      | ~ hBOOL(final_list_char(U_7334))
      | size_size_list_val(U_7333) != size_size_list_ty(U_7331)
      | size_s2113983095t_char(U_7332) != size_size_list_ty(U_7331) ),
    inference(variable_rename,[status(thm)],[f_1330_1]) ).

cnf(f_1330_3,plain,
    ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,blocks(hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_7332),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_7331),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_7333),U_7334))))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_7337),U_7336))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_7334),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_7337),U_7336)))),transi2024712006on_val(red(U_7335))))
    | ~ hBOOL(final_list_char(U_7334))
    | size_size_list_val(U_7333) != size_size_list_ty(U_7331)
    | size_s2113983095t_char(U_7332) != size_size_list_ty(U_7331) ),
    inference(clausify,[status(thm)],[f_1330_2]) ).

fof(f_1331_1,plain,
    ! [Pa,Eb,Hb,Lb,E_b,H_b,L_b,Vs_1,Ps,Ts] :
      ( ? [L_1] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),map_up1085636310ar_val(Lb,Ps,Vs_1))),E_b),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),L_1)))
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,blocks(hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,Ps),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,Ts),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,Vs_1),Eb)))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb)),E_b),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),L_b)))
      | size_s2113983095t_char(Ps) != size_size_list_val(Vs_1)
      | size_s2113983095t_char(Ps) != size_size_list_ty(Ts) ),
    inference(fof_nnf,[status(thm)],[fact_1189_blocksEval]) ).

fof(f_1331_2,plain,
    ! [U_7348,U_7347,U_7346,U_7345,U_7344,U_7343,U_7342,U_7341,U_7340,U_7339] :
      ( ? [U_7338] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_7348,U_7347,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_7346),map_up1085636310ar_val(U_7345,U_7340,U_7341))),U_7344),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_7343),U_7338)))
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_7348,blocks(hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_7340),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_7339),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_7341),U_7347)))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_7346),U_7345)),U_7344),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_7343),U_7342)))
      | size_s2113983095t_char(U_7340) != size_size_list_val(U_7341)
      | size_s2113983095t_char(U_7340) != size_size_list_ty(U_7339) ),
    inference(variable_rename,[status(thm)],[f_1331_1]) ).

fof(f_1331_3,plain,
    ! [U_7348,U_7347,U_7346,U_7345,U_7344,U_7343,U_7342,U_7341,U_7340,U_7339] :
      ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_7348,U_7347,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_7346),map_up1085636310ar_val(U_7345,U_7340,U_7341))),U_7344),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_7343),sK1003(U_7348,U_7347,U_7346,U_7345,U_7344,U_7343,U_7342,U_7341,U_7340,U_7339))))
      | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_7348,blocks(hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_7340),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_7339),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_7341),U_7347)))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_7346),U_7345)),U_7344),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_7343),U_7342)))
      | size_s2113983095t_char(U_7340) != size_size_list_val(U_7341)
      | size_s2113983095t_char(U_7340) != size_size_list_ty(U_7339) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK1003]),skolemize(U_7338,sK1003(U_7348,U_7347,U_7346,U_7345,U_7344,U_7343,U_7342,U_7341,U_7340,U_7339))],[f_1331_2]) ).

cnf(f_1331_4,plain,
    ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_7348,U_7347,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_7346),map_up1085636310ar_val(U_7345,U_7340,U_7341))),U_7344),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_7343),sK1003(U_7348,U_7347,U_7346,U_7345,U_7344,U_7343,U_7342,U_7341,U_7340,U_7339))))
    | ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(U_7348,blocks(hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_7340),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_7339),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_7341),U_7347)))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_7346),U_7345)),U_7344),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_7343),U_7342)))
    | size_s2113983095t_char(U_7340) != size_size_list_val(U_7341)
    | size_s2113983095t_char(U_7340) != size_size_list_ty(U_7339) ),
    inference(clausify,[status(thm)],[f_1331_3]) ).

fof(f_1332_1,plain,
    ! [Pa,Hb,Ea,Eb,Ta,Vs_1,Vs,Ts] :
      ( ( ( hBOOL(wTrt_1(Pa,Hb,Ea,blocks(hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,Vs),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,Ts),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,Vs_1),Eb)))),Ta))
          | ! [Ts_2] :
              ( ~ hBOOL(list_all2_ty_ty(widen_2090681816t_char(Pa),Ts_2,Ts))
              | map_val_option_ty(typeof_h(Hb),Vs_1) != map_ty_option_ty(some_ty,Ts_2) )
          | ~ hBOOL(wTrt_1(Pa,Hb,map_up891053837har_ty(Ea,Vs,Ts),Eb,Ta)) )
        & ( ( ? [Ts_2] :
                ( hBOOL(list_all2_ty_ty(widen_2090681816t_char(Pa),Ts_2,Ts))
                & map_val_option_ty(typeof_h(Hb),Vs_1) = map_ty_option_ty(some_ty,Ts_2) )
            & hBOOL(wTrt_1(Pa,Hb,map_up891053837har_ty(Ea,Vs,Ts),Eb,Ta)) )
          | ~ hBOOL(wTrt_1(Pa,Hb,Ea,blocks(hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,Vs),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,Ts),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,Vs_1),Eb)))),Ta)) ) )
      | size_size_list_val(Vs_1) != size_size_list_ty(Ts)
      | size_s2113983095t_char(Vs) != size_size_list_ty(Ts) ),
    inference(fof_nnf,[status(thm)],[fact_1190_wt__blocks]) ).

fof(f_1332_2,plain,
    ! [U_7358,U_7357,U_7356,U_7355,U_7354,U_7353,U_7352,U_7351] :
      ( ( ( hBOOL(wTrt_1(U_7358,U_7357,U_7356,blocks(hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_7352),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_7351),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_7353),U_7355)))),U_7354))
          | ! [U_7350] :
              ( ~ hBOOL(list_all2_ty_ty(widen_2090681816t_char(U_7358),U_7350,U_7351))
              | map_val_option_ty(typeof_h(U_7357),U_7353) != map_ty_option_ty(some_ty,U_7350) )
          | ~ hBOOL(wTrt_1(U_7358,U_7357,map_up891053837har_ty(U_7356,U_7352,U_7351),U_7355,U_7354)) )
        & ( ( ? [U_7349] :
                ( hBOOL(list_all2_ty_ty(widen_2090681816t_char(U_7358),U_7349,U_7351))
                & map_val_option_ty(typeof_h(U_7357),U_7353) = map_ty_option_ty(some_ty,U_7349) )
            & hBOOL(wTrt_1(U_7358,U_7357,map_up891053837har_ty(U_7356,U_7352,U_7351),U_7355,U_7354)) )
          | ~ hBOOL(wTrt_1(U_7358,U_7357,U_7356,blocks(hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_7352),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_7351),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_7353),U_7355)))),U_7354)) ) )
      | size_size_list_val(U_7353) != size_size_list_ty(U_7351)
      | size_s2113983095t_char(U_7352) != size_size_list_ty(U_7351) ),
    inference(variable_rename,[status(thm)],[f_1332_1]) ).

fof(f_1332_3,plain,
    ! [U_7358,U_7357,U_7356,U_7355,U_7354,U_7353,U_7352,U_7351] :
      ( ( ( hBOOL(wTrt_1(U_7358,U_7357,U_7356,blocks(hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_7352),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_7351),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_7353),U_7355)))),U_7354))
          | ! [U_7350] :
              ( ~ hBOOL(list_all2_ty_ty(widen_2090681816t_char(U_7358),U_7350,U_7351))
              | map_val_option_ty(typeof_h(U_7357),U_7353) != map_ty_option_ty(some_ty,U_7350) )
          | ~ hBOOL(wTrt_1(U_7358,U_7357,map_up891053837har_ty(U_7356,U_7352,U_7351),U_7355,U_7354)) )
        & ( ( hBOOL(list_all2_ty_ty(widen_2090681816t_char(U_7358),sK1004(U_7358,U_7357,U_7356,U_7355,U_7354,U_7353,U_7352,U_7351),U_7351))
            & map_val_option_ty(typeof_h(U_7357),U_7353) = map_ty_option_ty(some_ty,sK1004(U_7358,U_7357,U_7356,U_7355,U_7354,U_7353,U_7352,U_7351))
            & hBOOL(wTrt_1(U_7358,U_7357,map_up891053837har_ty(U_7356,U_7352,U_7351),U_7355,U_7354)) )
          | ~ hBOOL(wTrt_1(U_7358,U_7357,U_7356,blocks(hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_7352),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_7351),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_7353),U_7355)))),U_7354)) ) )
      | size_size_list_val(U_7353) != size_size_list_ty(U_7351)
      | size_s2113983095t_char(U_7352) != size_size_list_ty(U_7351) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK1004]),skolemize(U_7349,sK1004(U_7358,U_7357,U_7356,U_7355,U_7354,U_7353,U_7352,U_7351))],[f_1332_2]) ).

cnf(f_1332_4,plain,
    ( hBOOL(wTrt_1(U_7358,U_7357,map_up891053837har_ty(U_7356,U_7352,U_7351),U_7355,U_7354))
    | ~ hBOOL(wTrt_1(U_7358,U_7357,U_7356,blocks(hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_7352),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_7351),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_7353),U_7355)))),U_7354))
    | size_size_list_val(U_7353) != size_size_list_ty(U_7351)
    | size_s2113983095t_char(U_7352) != size_size_list_ty(U_7351) ),
    inference(clausify,[status(thm)],[f_1332_3]) ).

cnf(f_1332_5,plain,
    ( map_val_option_ty(typeof_h(U_7357),U_7353) = map_ty_option_ty(some_ty,sK1004(U_7358,U_7357,U_7356,U_7355,U_7354,U_7353,U_7352,U_7351))
    | ~ hBOOL(wTrt_1(U_7358,U_7357,U_7356,blocks(hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_7352),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_7351),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_7353),U_7355)))),U_7354))
    | size_size_list_val(U_7353) != size_size_list_ty(U_7351)
    | size_s2113983095t_char(U_7352) != size_size_list_ty(U_7351) ),
    inference(clausify,[status(thm)],[f_1332_3]) ).

cnf(f_1332_6,plain,
    ( hBOOL(list_all2_ty_ty(widen_2090681816t_char(U_7358),sK1004(U_7358,U_7357,U_7356,U_7355,U_7354,U_7353,U_7352,U_7351),U_7351))
    | ~ hBOOL(wTrt_1(U_7358,U_7357,U_7356,blocks(hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_7352),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_7351),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_7353),U_7355)))),U_7354))
    | size_size_list_val(U_7353) != size_size_list_ty(U_7351)
    | size_s2113983095t_char(U_7352) != size_size_list_ty(U_7351) ),
    inference(clausify,[status(thm)],[f_1332_3]) ).

cnf(f_1332_7,plain,
    ( hBOOL(wTrt_1(U_7358,U_7357,U_7356,blocks(hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_7352),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_7351),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_7353),U_7355)))),U_7354))
    | ~ hBOOL(list_all2_ty_ty(widen_2090681816t_char(U_7358),U_7350,U_7351))
    | map_val_option_ty(typeof_h(U_7357),U_7353) != map_ty_option_ty(some_ty,U_7350)
    | ~ hBOOL(wTrt_1(U_7358,U_7357,map_up891053837har_ty(U_7356,U_7352,U_7351),U_7355,U_7354))
    | size_size_list_val(U_7353) != size_size_list_ty(U_7351)
    | size_s2113983095t_char(U_7352) != size_size_list_ty(U_7351) ),
    inference(clausify,[status(thm)],[f_1332_3]) ).

fof(f_1333_1,plain,
    ! [Esa,Ts_1,M,Ts,Ta,Pns,Body,D,Pa,Hb,Ea,Eb,C] :
      ( hBOOL(wTrt_1(Pa,Hb,Ea,call_list_char(Eb,M,Esa),Ta))
      | ~ hBOOL(list_all2_ty_ty(widen_2090681816t_char(Pa),Ts_1,Ts))
      | ~ hBOOL(wTrts_1(Pa,Hb,Ea,Esa,Ts_1))
      | ~ hBOOL(hAPP_list_char_bool(method1809630380t_char(Pa,C,M,Ts,Ta,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,Pns),Body)),D))
      | ~ hBOOL(wTrt_1(Pa,Hb,Ea,Eb,hAPP_list_char_ty(class,C))) ),
    inference(fof_nnf,[status(thm)],[fact_1191_WTrtCall]) ).

fof(f_1333_2,plain,
    ! [U_7371,U_7370,U_7369,U_7368,U_7367,U_7366,U_7365,U_7364,U_7363,U_7362,U_7361,U_7360,U_7359] :
      ( hBOOL(wTrt_1(U_7363,U_7362,U_7361,call_list_char(U_7360,U_7369,U_7371),U_7367))
      | ~ hBOOL(list_all2_ty_ty(widen_2090681816t_char(U_7363),U_7370,U_7368))
      | ~ hBOOL(wTrts_1(U_7363,U_7362,U_7361,U_7371,U_7370))
      | ~ hBOOL(hAPP_list_char_bool(method1809630380t_char(U_7363,U_7359,U_7369,U_7368,U_7367,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_7366),U_7365)),U_7364))
      | ~ hBOOL(wTrt_1(U_7363,U_7362,U_7361,U_7360,hAPP_list_char_ty(class,U_7359))) ),
    inference(variable_rename,[status(thm)],[f_1333_1]) ).

cnf(f_1333_3,plain,
    ( hBOOL(wTrt_1(U_7363,U_7362,U_7361,call_list_char(U_7360,U_7369,U_7371),U_7367))
    | ~ hBOOL(list_all2_ty_ty(widen_2090681816t_char(U_7363),U_7370,U_7368))
    | ~ hBOOL(wTrts_1(U_7363,U_7362,U_7361,U_7371,U_7370))
    | ~ hBOOL(hAPP_list_char_bool(method1809630380t_char(U_7363,U_7359,U_7369,U_7368,U_7367,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_7366),U_7365)),U_7364))
    | ~ hBOOL(wTrt_1(U_7363,U_7362,U_7361,U_7360,hAPP_list_char_ty(class,U_7359))) ),
    inference(clausify,[status(thm)],[f_1333_2]) ).

fof(f_1334_1,plain,
    ! [Esa,Ts_1,M,Ts,Ta,Pns,Body,D,Pa,Hb,Ea,Eb,C] :
      ( hBOOL(wTrt(Pa,Hb,Ea,call_list_char(Eb,M,Esa),Ta))
      | ~ hBOOL(list_all2_ty_ty(widen_2090681816t_char(Pa),Ts_1,Ts))
      | ~ hBOOL(wTrts(Pa,Hb,Ea,Esa,Ts_1))
      | ~ hBOOL(hAPP_list_char_bool(method1809630380t_char(Pa,C,M,Ts,Ta,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,Pns),Body)),D))
      | ~ hBOOL(wTrt(Pa,Hb,Ea,Eb,hAPP_list_char_ty(class,C))) ),
    inference(fof_nnf,[status(thm)],[fact_1192_WTrt_H__WTrts_H_Ointros_I12_J]) ).

fof(f_1334_2,plain,
    ! [U_7384,U_7383,U_7382,U_7381,U_7380,U_7379,U_7378,U_7377,U_7376,U_7375,U_7374,U_7373,U_7372] :
      ( hBOOL(wTrt(U_7376,U_7375,U_7374,call_list_char(U_7373,U_7382,U_7384),U_7380))
      | ~ hBOOL(list_all2_ty_ty(widen_2090681816t_char(U_7376),U_7383,U_7381))
      | ~ hBOOL(wTrts(U_7376,U_7375,U_7374,U_7384,U_7383))
      | ~ hBOOL(hAPP_list_char_bool(method1809630380t_char(U_7376,U_7372,U_7382,U_7381,U_7380,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_7379),U_7378)),U_7377))
      | ~ hBOOL(wTrt(U_7376,U_7375,U_7374,U_7373,hAPP_list_char_ty(class,U_7372))) ),
    inference(variable_rename,[status(thm)],[f_1334_1]) ).

cnf(f_1334_3,plain,
    ( hBOOL(wTrt(U_7376,U_7375,U_7374,call_list_char(U_7373,U_7382,U_7384),U_7380))
    | ~ hBOOL(list_all2_ty_ty(widen_2090681816t_char(U_7376),U_7383,U_7381))
    | ~ hBOOL(wTrts(U_7376,U_7375,U_7374,U_7384,U_7383))
    | ~ hBOOL(hAPP_list_char_bool(method1809630380t_char(U_7376,U_7372,U_7382,U_7381,U_7380,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,U_7379),U_7378)),U_7377))
    | ~ hBOOL(wTrt(U_7376,U_7375,U_7374,U_7373,hAPP_list_char_ty(class,U_7372))) ),
    inference(clausify,[status(thm)],[f_1334_2]) ).

fof(f_1335_1,plain,
    ! [Pa,Hb,Ea,Esa,Ts] :
      ( ( hBOOL(wTrts(Pa,Hb,Ea,Esa,Ts))
        | ~ hBOOL(wTrts_1(Pa,Hb,Ea,Esa,Ts)) )
      & ( hBOOL(wTrts_1(Pa,Hb,Ea,Esa,Ts))
        | ~ hBOOL(wTrts(Pa,Hb,Ea,Esa,Ts)) ) ),
    inference(fof_nnf,[status(thm)],[fact_1193_wts_H__iff__wts]) ).

fof(f_1335_2,plain,
    ! [U_7389,U_7388,U_7387,U_7386,U_7385] :
      ( ( hBOOL(wTrts(U_7389,U_7388,U_7387,U_7386,U_7385))
        | ~ hBOOL(wTrts_1(U_7389,U_7388,U_7387,U_7386,U_7385)) )
      & ( hBOOL(wTrts_1(U_7389,U_7388,U_7387,U_7386,U_7385))
        | ~ hBOOL(wTrts(U_7389,U_7388,U_7387,U_7386,U_7385)) ) ),
    inference(variable_rename,[status(thm)],[f_1335_1]) ).

fof(f_1335_3,plain,
    ( ! [U_7399,U_7397,U_7395,U_7393,U_7391] :
        ( hBOOL(wTrts(U_7399,U_7397,U_7395,U_7393,U_7391))
        | ~ hBOOL(wTrts_1(U_7399,U_7397,U_7395,U_7393,U_7391)) )
    & ! [U_7398,U_7396,U_7394,U_7392,U_7390] :
        ( hBOOL(wTrts_1(U_7398,U_7396,U_7394,U_7392,U_7390))
        | ~ hBOOL(wTrts(U_7398,U_7396,U_7394,U_7392,U_7390)) ) ),
    inference(miniscope,[status(thm)],[f_1335_2]) ).

cnf(f_1335_4,plain,
    ( hBOOL(wTrts_1(U_7398,U_7396,U_7394,U_7392,U_7390))
    | ~ hBOOL(wTrts(U_7398,U_7396,U_7394,U_7392,U_7390)) ),
    inference(clausify,[status(thm)],[f_1335_3]) ).

cnf(f_1335_5,plain,
    ( hBOOL(wTrts(U_7399,U_7397,U_7395,U_7393,U_7391))
    | ~ hBOOL(wTrts_1(U_7399,U_7397,U_7395,U_7393,U_7391)) ),
    inference(clausify,[status(thm)],[f_1335_3]) ).

fof(f_1336_1,plain,
    ! [Pa,Hb,Ea,Esa,Ts] :
      ( hBOOL(wTrts_1(Pa,Hb,Ea,Esa,Ts))
      | ~ hBOOL(wTrts(Pa,Hb,Ea,Esa,Ts)) ),
    inference(fof_nnf,[status(thm)],[fact_1194_wts_H__wts]) ).

fof(f_1336_2,plain,
    ! [U_7404,U_7403,U_7402,U_7401,U_7400] :
      ( hBOOL(wTrts_1(U_7404,U_7403,U_7402,U_7401,U_7400))
      | ~ hBOOL(wTrts(U_7404,U_7403,U_7402,U_7401,U_7400)) ),
    inference(variable_rename,[status(thm)],[f_1336_1]) ).

cnf(f_1336_3,plain,
    ( hBOOL(wTrts_1(U_7404,U_7403,U_7402,U_7401,U_7400))
    | ~ hBOOL(wTrts(U_7404,U_7403,U_7402,U_7401,U_7400)) ),
    inference(clausify,[status(thm)],[f_1336_2]) ).

fof(f_1337_1,plain,
    ! [Pa,Hb,Ea,Esa,Ts] :
      ( hBOOL(wTrts(Pa,Hb,Ea,Esa,Ts))
      | ~ hBOOL(wTrts_1(Pa,Hb,Ea,Esa,Ts)) ),
    inference(fof_nnf,[status(thm)],[fact_1195_wts__wts_H]) ).

fof(f_1337_2,plain,
    ! [U_7409,U_7408,U_7407,U_7406,U_7405] :
      ( hBOOL(wTrts(U_7409,U_7408,U_7407,U_7406,U_7405))
      | ~ hBOOL(wTrts_1(U_7409,U_7408,U_7407,U_7406,U_7405)) ),
    inference(variable_rename,[status(thm)],[f_1337_1]) ).

cnf(f_1337_3,plain,
    ( hBOOL(wTrts(U_7409,U_7408,U_7407,U_7406,U_7405))
    | ~ hBOOL(wTrts_1(U_7409,U_7408,U_7407,U_7406,U_7405)) ),
    inference(clausify,[status(thm)],[f_1337_2]) ).

fof(f_1338_1,plain,
    ! [M,Ta,Esa,Ts,Pa,Hb,Ea,Eb] :
      ( hBOOL(wTrt(Pa,Hb,Ea,call_list_char(Eb,M,Esa),Ta))
      | ~ hBOOL(wTrts(Pa,Hb,Ea,Esa,Ts))
      | ~ hBOOL(wTrt(Pa,Hb,Ea,Eb,nt)) ),
    inference(fof_nnf,[status(thm)],[fact_1196_WTrt_H__WTrts_H_Ointros_I13_J]) ).

fof(f_1338_2,plain,
    ! [U_7417,U_7416,U_7415,U_7414,U_7413,U_7412,U_7411,U_7410] :
      ( hBOOL(wTrt(U_7413,U_7412,U_7411,call_list_char(U_7410,U_7417,U_7415),U_7416))
      | ~ hBOOL(wTrts(U_7413,U_7412,U_7411,U_7415,U_7414))
      | ~ hBOOL(wTrt(U_7413,U_7412,U_7411,U_7410,nt)) ),
    inference(variable_rename,[status(thm)],[f_1338_1]) ).

cnf(f_1338_3,plain,
    ( hBOOL(wTrt(U_7413,U_7412,U_7411,call_list_char(U_7410,U_7417,U_7415),U_7416))
    | ~ hBOOL(wTrts(U_7413,U_7412,U_7411,U_7415,U_7414))
    | ~ hBOOL(wTrt(U_7413,U_7412,U_7411,U_7410,nt)) ),
    inference(clausify,[status(thm)],[f_1338_2]) ).

fof(f_1339_1,plain,
    ! [Esa,Ts,Pa,Hb,Ea,Eb,Ta] :
      ( hBOOL(wTrts(Pa,Hb,Ea,cons_exp_list_char(Eb,Esa),cons_ty(Ta,Ts)))
      | ~ hBOOL(wTrts(Pa,Hb,Ea,Esa,Ts))
      | ~ hBOOL(wTrt(Pa,Hb,Ea,Eb,Ta)) ),
    inference(fof_nnf,[status(thm)],[fact_1197_WTrt_H__WTrts_H_Ointros_I15_J]) ).

fof(f_1339_2,plain,
    ! [U_7424,U_7423,U_7422,U_7421,U_7420,U_7419,U_7418] :
      ( hBOOL(wTrts(U_7422,U_7421,U_7420,cons_exp_list_char(U_7419,U_7424),cons_ty(U_7418,U_7423)))
      | ~ hBOOL(wTrts(U_7422,U_7421,U_7420,U_7424,U_7423))
      | ~ hBOOL(wTrt(U_7422,U_7421,U_7420,U_7419,U_7418)) ),
    inference(variable_rename,[status(thm)],[f_1339_1]) ).

cnf(f_1339_3,plain,
    ( hBOOL(wTrts(U_7422,U_7421,U_7420,cons_exp_list_char(U_7419,U_7424),cons_ty(U_7418,U_7423)))
    | ~ hBOOL(wTrts(U_7422,U_7421,U_7420,U_7424,U_7423))
    | ~ hBOOL(wTrt(U_7422,U_7421,U_7420,U_7419,U_7418)) ),
    inference(clausify,[status(thm)],[f_1339_2]) ).

fof(f_1340_1,plain,
    ! [L,Eb,Hb,Lb,E_b,H_b,L_b,Pa,Vs_1,Vs,Ts] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,blocks(hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,Vs),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,Ts),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,Vs_1),Eb))))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),L)))),transi2024712006on_val(red(Pa))))
      | L != overri2012515291on_val(L_b,Lb,set_list_char(Vs))
      | ~ hBOOL(final_list_char(E_b))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),map_up1085636310ar_val(Lb,Vs,Vs_1)))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),L_b)))),transi2024712006on_val(red(Pa))))
      | ~ hBOOL(distinct_list_char(Vs))
      | size_size_list_val(Vs_1) != size_size_list_ty(Ts)
      | size_s2113983095t_char(Vs) != size_size_list_ty(Ts) ),
    inference(fof_nnf,[status(thm)],[fact_1198_blocksRedsFinal]) ).

fof(f_1340_2,plain,
    ! [U_7435,U_7434,U_7433,U_7432,U_7431,U_7430,U_7429,U_7428,U_7427,U_7426,U_7425] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,blocks(hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_7426),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_7425),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_7427),U_7434))))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_7433),U_7432))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_7431),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_7430),U_7435)))),transi2024712006on_val(red(U_7428))))
      | U_7435 != overri2012515291on_val(U_7429,U_7432,set_list_char(U_7426))
      | ~ hBOOL(final_list_char(U_7431))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_7434),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_7433),map_up1085636310ar_val(U_7432,U_7426,U_7427)))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_7431),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_7430),U_7429)))),transi2024712006on_val(red(U_7428))))
      | ~ hBOOL(distinct_list_char(U_7426))
      | size_size_list_val(U_7427) != size_size_list_ty(U_7425)
      | size_s2113983095t_char(U_7426) != size_size_list_ty(U_7425) ),
    inference(variable_rename,[status(thm)],[f_1340_1]) ).

cnf(f_1340_3,plain,
    ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,blocks(hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_7426),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_7425),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_7427),U_7434))))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_7433),U_7432))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_7431),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_7430),U_7435)))),transi2024712006on_val(red(U_7428))))
    | U_7435 != overri2012515291on_val(U_7429,U_7432,set_list_char(U_7426))
    | ~ hBOOL(final_list_char(U_7431))
    | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_7434),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_7433),map_up1085636310ar_val(U_7432,U_7426,U_7427)))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_7431),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_7430),U_7429)))),transi2024712006on_val(red(U_7428))))
    | ~ hBOOL(distinct_list_char(U_7426))
    | size_size_list_val(U_7427) != size_size_list_ty(U_7425)
    | size_s2113983095t_char(U_7426) != size_size_list_ty(U_7425) ),
    inference(clausify,[status(thm)],[f_1340_2]) ).

fof(f_1341_1,plain,
    ! [Eb,Hb,Lb,E_b,H_b,L_b,Pa,Vs_1,Vs,Ts] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,blocks(hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,Vs),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,Ts),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,Vs_1),Eb))))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,blocks(hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,Vs),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,Ts),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,map_list_char_val(comp_o1129292306t_char(the_val,L_b),Vs)),E_b))))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),overri2012515291on_val(L_b,Lb,set_list_char(Vs)))))),transi2024712006on_val(red(Pa))))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),map_up1085636310ar_val(Lb,Vs,Vs_1)))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),L_b)))),transi2024712006on_val(red(Pa))))
      | ~ hBOOL(distinct_list_char(Vs))
      | size_size_list_val(Vs_1) != size_size_list_ty(Ts)
      | size_s2113983095t_char(Vs) != size_size_list_ty(Ts) ),
    inference(fof_nnf,[status(thm)],[fact_1199_blocksReds]) ).

fof(f_1341_2,plain,
    ! [U_7445,U_7444,U_7443,U_7442,U_7441,U_7440,U_7439,U_7438,U_7437,U_7436] :
      ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,blocks(hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_7437),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_7436),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_7438),U_7445))))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_7444),U_7443))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,blocks(hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_7437),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_7436),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,map_list_char_val(comp_o1129292306t_char(the_val,U_7440),U_7437)),U_7442))))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_7441),overri2012515291on_val(U_7440,U_7443,set_list_char(U_7437)))))),transi2024712006on_val(red(U_7439))))
      | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_7445),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_7444),map_up1085636310ar_val(U_7443,U_7437,U_7438)))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_7442),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_7441),U_7440)))),transi2024712006on_val(red(U_7439))))
      | ~ hBOOL(distinct_list_char(U_7437))
      | size_size_list_val(U_7438) != size_size_list_ty(U_7436)
      | size_s2113983095t_char(U_7437) != size_size_list_ty(U_7436) ),
    inference(variable_rename,[status(thm)],[f_1341_1]) ).

cnf(f_1341_3,plain,
    ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,blocks(hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_7437),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_7436),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,U_7438),U_7445))))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_7444),U_7443))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,blocks(hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,U_7437),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,U_7436),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,map_list_char_val(comp_o1129292306t_char(the_val,U_7440),U_7437)),U_7442))))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_7441),overri2012515291on_val(U_7440,U_7443,set_list_char(U_7437)))))),transi2024712006on_val(red(U_7439))))
    | ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_7445),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_7444),map_up1085636310ar_val(U_7443,U_7437,U_7438)))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,U_7442),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,U_7441),U_7440)))),transi2024712006on_val(red(U_7439))))
    | ~ hBOOL(distinct_list_char(U_7437))
    | size_size_list_val(U_7438) != size_size_list_ty(U_7436)
    | size_s2113983095t_char(U_7437) != size_size_list_ty(U_7436) ),
    inference(clausify,[status(thm)],[f_1341_2]) ).

fof(f_1342_1,plain,
    ! [P] :
      ( ~ hBOOL(P)
      | ~ hBOOL(hAPP_bool_bool(fNot,P)) ),
    inference(fof_nnf,[status(thm)],[help_fNot_1_1_U]) ).

fof(f_1342_2,plain,
    ! [U_7446] :
      ( ~ hBOOL(U_7446)
      | ~ hBOOL(hAPP_bool_bool(fNot,U_7446)) ),
    inference(variable_rename,[status(thm)],[f_1342_1]) ).

cnf(f_1342_3,plain,
    ( ~ hBOOL(U_7446)
    | ~ hBOOL(hAPP_bool_bool(fNot,U_7446)) ),
    inference(clausify,[status(thm)],[f_1342_2]) ).

fof(f_1343_1,plain,
    ! [P] :
      ( hBOOL(hAPP_bool_bool(fNot,P))
      | hBOOL(P) ),
    inference(fof_nnf,[status(thm)],[help_fNot_2_1_U]) ).

fof(f_1343_2,plain,
    ! [U_7447] :
      ( hBOOL(hAPP_bool_bool(fNot,U_7447))
      | hBOOL(U_7447) ),
    inference(variable_rename,[status(thm)],[f_1343_1]) ).

cnf(f_1343_3,plain,
    ( hBOOL(hAPP_bool_bool(fNot,U_7447))
    | hBOOL(U_7447) ),
    inference(clausify,[status(thm)],[f_1343_2]) ).

fof(f_1344_1,plain,
    hBOOL(fTrue),
    inference(fof_nnf,[status(thm)],[help_fTrue_1_1_U]) ).

cnf(f_1344_2,plain,
    hBOOL(fTrue),
    inference(clausify,[status(thm)],[f_1344_1]) ).

fof(f_1345_1,plain,
    ! [P] :
      ( P = fFalse
      | P = fTrue
      | ~ is_bool(P) ),
    inference(fof_nnf,[status(thm)],[help_fTrue_1_1_T]) ).

fof(f_1345_2,plain,
    ! [U_7448] :
      ( U_7448 = fFalse
      | U_7448 = fTrue
      | ~ is_bool(U_7448) ),
    inference(variable_rename,[status(thm)],[f_1345_1]) ).

cnf(f_1345_3,plain,
    ( U_7448 = fFalse
    | U_7448 = fTrue
    | ~ is_bool(U_7448) ),
    inference(clausify,[status(thm)],[f_1345_2]) ).

fof(f_1346_1,plain,
    ! [Q,P] :
      ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,P),Q))
      | ~ hBOOL(Q)
      | ~ hBOOL(P) ),
    inference(fof_nnf,[status(thm)],[help_fconj_1_1_U]) ).

fof(f_1346_2,plain,
    ! [U_7450,U_7449] :
      ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,U_7449),U_7450))
      | ~ hBOOL(U_7450)
      | ~ hBOOL(U_7449) ),
    inference(variable_rename,[status(thm)],[f_1346_1]) ).

fof(f_1346_3,plain,
    ! [U_7450] :
      ( ! [U_7449] :
          ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,U_7449),U_7450))
          | ~ hBOOL(U_7449) )
      | ~ hBOOL(U_7450) ),
    inference(miniscope,[status(thm)],[f_1346_2]) ).

cnf(f_1346_4,plain,
    ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,U_7449),U_7450))
    | ~ hBOOL(U_7449)
    | ~ hBOOL(U_7450) ),
    inference(clausify,[status(thm)],[f_1346_3]) ).

fof(f_1347_1,plain,
    ! [P,Q] :
      ( hBOOL(P)
      | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,P),Q)) ),
    inference(fof_nnf,[status(thm)],[help_fconj_2_1_U]) ).

fof(f_1347_2,plain,
    ! [U_7452,U_7451] :
      ( hBOOL(U_7452)
      | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,U_7452),U_7451)) ),
    inference(variable_rename,[status(thm)],[f_1347_1]) ).

fof(f_1347_3,plain,
    ! [U_7452] :
      ( ! [U_7451] : ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,U_7452),U_7451))
      | hBOOL(U_7452) ),
    inference(miniscope,[status(thm)],[f_1347_2]) ).

cnf(f_1347_4,plain,
    ( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,U_7452),U_7451))
    | hBOOL(U_7452) ),
    inference(clausify,[status(thm)],[f_1347_3]) ).

fof(f_1348_1,plain,
    ! [P,Q] :
      ( hBOOL(Q)
      | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,P),Q)) ),
    inference(fof_nnf,[status(thm)],[help_fconj_3_1_U]) ).

fof(f_1348_2,plain,
    ! [U_7454,U_7453] :
      ( hBOOL(U_7453)
      | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,U_7454),U_7453)) ),
    inference(variable_rename,[status(thm)],[f_1348_1]) ).

cnf(f_1348_3,plain,
    ( hBOOL(U_7453)
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,U_7454),U_7453)) ),
    inference(clausify,[status(thm)],[f_1348_2]) ).

fof(f_1349_1,plain,
    ! [Q,P] :
      ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fdisj,P),Q))
      | ~ hBOOL(P) ),
    inference(fof_nnf,[status(thm)],[help_fdisj_1_1_U]) ).

fof(f_1349_2,plain,
    ! [U_7456,U_7455] :
      ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fdisj,U_7455),U_7456))
      | ~ hBOOL(U_7455) ),
    inference(variable_rename,[status(thm)],[f_1349_1]) ).

cnf(f_1349_3,plain,
    ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fdisj,U_7455),U_7456))
    | ~ hBOOL(U_7455) ),
    inference(clausify,[status(thm)],[f_1349_2]) ).

fof(f_1350_1,plain,
    ! [P,Q] :
      ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fdisj,P),Q))
      | ~ hBOOL(Q) ),
    inference(fof_nnf,[status(thm)],[help_fdisj_2_1_U]) ).

fof(f_1350_2,plain,
    ! [U_7458,U_7457] :
      ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fdisj,U_7458),U_7457))
      | ~ hBOOL(U_7457) ),
    inference(variable_rename,[status(thm)],[f_1350_1]) ).

cnf(f_1350_3,plain,
    ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fdisj,U_7458),U_7457))
    | ~ hBOOL(U_7457) ),
    inference(clausify,[status(thm)],[f_1350_2]) ).

fof(f_1351_1,plain,
    ! [P,Q] :
      ( hBOOL(Q)
      | hBOOL(P)
      | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fdisj,P),Q)) ),
    inference(fof_nnf,[status(thm)],[help_fdisj_3_1_U]) ).

fof(f_1351_2,plain,
    ! [U_7460,U_7459] :
      ( hBOOL(U_7459)
      | hBOOL(U_7460)
      | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fdisj,U_7460),U_7459)) ),
    inference(variable_rename,[status(thm)],[f_1351_1]) ).

fof(f_1351_3,plain,
    ! [U_7460] :
      ( ! [U_7459] :
          ( hBOOL(U_7459)
          | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fdisj,U_7460),U_7459)) )
      | hBOOL(U_7460) ),
    inference(miniscope,[status(thm)],[f_1351_2]) ).

cnf(f_1351_4,plain,
    ( hBOOL(U_7459)
    | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fdisj,U_7460),U_7459))
    | hBOOL(U_7460) ),
    inference(clausify,[status(thm)],[f_1351_3]) ).

fof(f_1352_1,plain,
    ~ hBOOL(fFalse),
    inference(fof_nnf,[status(thm)],[help_fFalse_1_1_U]) ).

cnf(f_1352_2,plain,
    ~ hBOOL(fFalse),
    inference(clausify,[status(thm)],[f_1352_1]) ).

fof(f_1353_1,plain,
    ! [P] :
      ( P = fFalse
      | P = fTrue
      | ~ is_bool(P) ),
    inference(fof_nnf,[status(thm)],[help_fFalse_1_1_T]) ).

fof(f_1353_2,plain,
    ! [U_7461] :
      ( U_7461 = fFalse
      | U_7461 = fTrue
      | ~ is_bool(U_7461) ),
    inference(variable_rename,[status(thm)],[f_1353_1]) ).

cnf(f_1353_3,plain,
    ( U_7461 = fFalse
    | U_7461 = fTrue
    | ~ is_bool(U_7461) ),
    inference(clausify,[status(thm)],[f_1353_2]) ).

fof(f_1354_1,plain,
    ! [X,Y] :
      ( X = Y
      | ~ hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(fequal_val,X),Y)) ),
    inference(fof_nnf,[status(thm)],[help_fequal_1_1_fequal_000tc__Value__Oval_T]) ).

fof(f_1354_2,plain,
    ! [U_7463,U_7462] :
      ( U_7463 = U_7462
      | ~ hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(fequal_val,U_7463),U_7462)) ),
    inference(variable_rename,[status(thm)],[f_1354_1]) ).

cnf(f_1354_3,plain,
    ( U_7463 = U_7462
    | ~ hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(fequal_val,U_7463),U_7462)) ),
    inference(clausify,[status(thm)],[f_1354_2]) ).

fof(f_1355_1,plain,
    ! [X,Y] :
      ( hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(fequal_val,X),Y))
      | X != Y ),
    inference(fof_nnf,[status(thm)],[help_fequal_2_1_fequal_000tc__Value__Oval_T]) ).

fof(f_1355_2,plain,
    ! [U_7465,U_7464] :
      ( hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(fequal_val,U_7465),U_7464))
      | U_7465 != U_7464 ),
    inference(variable_rename,[status(thm)],[f_1355_1]) ).

cnf(f_1355_3,plain,
    ( hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(fequal_val,U_7465),U_7464))
    | U_7465 != U_7464 ),
    inference(clausify,[status(thm)],[f_1355_2]) ).

fof(f_1356_1,plain,
    ! [X,Y] :
      ( X = Y
      | ~ hBOOL(hAPP_option_val_bool(hAPP_o586881855l_bool(fequal_option_val,X),Y)) ),
    inference(fof_nnf,[status(thm)],[help_fequal_1_1_fequal_000tc__Option__Ooption_Itc__Value__Oval_J_T]) ).

fof(f_1356_2,plain,
    ! [U_7467,U_7466] :
      ( U_7467 = U_7466
      | ~ hBOOL(hAPP_option_val_bool(hAPP_o586881855l_bool(fequal_option_val,U_7467),U_7466)) ),
    inference(variable_rename,[status(thm)],[f_1356_1]) ).

cnf(f_1356_3,plain,
    ( U_7467 = U_7466
    | ~ hBOOL(hAPP_option_val_bool(hAPP_o586881855l_bool(fequal_option_val,U_7467),U_7466)) ),
    inference(clausify,[status(thm)],[f_1356_2]) ).

fof(f_1357_1,plain,
    ! [X,Y] :
      ( hBOOL(hAPP_option_val_bool(hAPP_o586881855l_bool(fequal_option_val,X),Y))
      | X != Y ),
    inference(fof_nnf,[status(thm)],[help_fequal_2_1_fequal_000tc__Option__Ooption_Itc__Value__Oval_J_T]) ).

fof(f_1357_2,plain,
    ! [U_7469,U_7468] :
      ( hBOOL(hAPP_option_val_bool(hAPP_o586881855l_bool(fequal_option_val,U_7469),U_7468))
      | U_7469 != U_7468 ),
    inference(variable_rename,[status(thm)],[f_1357_1]) ).

cnf(f_1357_3,plain,
    ( hBOOL(hAPP_option_val_bool(hAPP_o586881855l_bool(fequal_option_val,U_7469),U_7468))
    | U_7469 != U_7468 ),
    inference(clausify,[status(thm)],[f_1357_2]) ).

fof(f_1358_1,plain,
    ! [P,Q,R] : hAPP_nat_bool(hAPP_f800510211t_bool(hAPP_f894608603t_bool(cOMBB_bool_bool_nat,P),Q),R) = hAPP_bool_bool(P,hAPP_nat_bool(Q,R)),
    inference(fof_nnf,[status(thm)],[help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__HOL__Obool_000tc__Nat__Onat_U]) ).

fof(f_1358_2,plain,
    ! [U_7472,U_7471,U_7470] : hAPP_nat_bool(hAPP_f800510211t_bool(hAPP_f894608603t_bool(cOMBB_bool_bool_nat,U_7472),U_7471),U_7470) = hAPP_bool_bool(U_7472,hAPP_nat_bool(U_7471,U_7470)),
    inference(variable_rename,[status(thm)],[f_1358_1]) ).

cnf(f_1358_3,plain,
    hAPP_nat_bool(hAPP_f800510211t_bool(hAPP_f894608603t_bool(cOMBB_bool_bool_nat,U_7472),U_7471),U_7470) = hAPP_bool_bool(U_7472,hAPP_nat_bool(U_7471,U_7470)),
    inference(clausify,[status(thm)],[f_1358_2]) ).

fof(f_1359_1,plain,
    ! [P,Q,R] : hAPP_nat_bool(cOMBS_nat_bool_bool(P,Q),R) = hAPP_bool_bool(hAPP_n1006566506l_bool(P,R),hAPP_nat_bool(Q,R)),
    inference(fof_nnf,[status(thm)],[help_COMBS_1_1_COMBS_000tc__Nat__Onat_000tc__HOL__Obool_000tc__HOL__Obool_U]) ).

fof(f_1359_2,plain,
    ! [U_7475,U_7474,U_7473] : hAPP_nat_bool(cOMBS_nat_bool_bool(U_7475,U_7474),U_7473) = hAPP_bool_bool(hAPP_n1006566506l_bool(U_7475,U_7473),hAPP_nat_bool(U_7474,U_7473)),
    inference(variable_rename,[status(thm)],[f_1359_1]) ).

cnf(f_1359_3,plain,
    hAPP_nat_bool(cOMBS_nat_bool_bool(U_7475,U_7474),U_7473) = hAPP_bool_bool(hAPP_n1006566506l_bool(U_7475,U_7473),hAPP_nat_bool(U_7474,U_7473)),
    inference(clausify,[status(thm)],[f_1359_2]) ).

fof(f_1360_1,plain,
    ! [P,Q,R] : hAPP_list_char_bool(hAPP_f1371002581r_bool(hAPP_f1861125939r_bool(cOMBB_1091123364t_char,P),Q),R) = hAPP_bool_bool(P,hAPP_list_char_bool(Q,R)),
    inference(fof_nnf,[status(thm)],[help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__HOL__Obool_000tc__List__Olist_Itc_]) ).

fof(f_1360_2,plain,
    ! [U_7478,U_7477,U_7476] : hAPP_list_char_bool(hAPP_f1371002581r_bool(hAPP_f1861125939r_bool(cOMBB_1091123364t_char,U_7478),U_7477),U_7476) = hAPP_bool_bool(U_7478,hAPP_list_char_bool(U_7477,U_7476)),
    inference(variable_rename,[status(thm)],[f_1360_1]) ).

cnf(f_1360_3,plain,
    hAPP_list_char_bool(hAPP_f1371002581r_bool(hAPP_f1861125939r_bool(cOMBB_1091123364t_char,U_7478),U_7477),U_7476) = hAPP_bool_bool(U_7478,hAPP_list_char_bool(U_7477,U_7476)),
    inference(clausify,[status(thm)],[f_1360_2]) ).

fof(f_1361_1,plain,
    ! [P,Q,R] : hAPP_list_char_bool(cOMBS_1502238389l_bool(P,Q),R) = hAPP_bool_bool(hAPP_l2010421276l_bool(P,R),hAPP_list_char_bool(Q,R)),
    inference(fof_nnf,[status(thm)],[help_COMBS_1_1_COMBS_000tc__List__Olist_Itc__String__Ochar_J_000tc__HOL__Obool_0]) ).

fof(f_1361_2,plain,
    ! [U_7481,U_7480,U_7479] : hAPP_list_char_bool(cOMBS_1502238389l_bool(U_7481,U_7480),U_7479) = hAPP_bool_bool(hAPP_l2010421276l_bool(U_7481,U_7479),hAPP_list_char_bool(U_7480,U_7479)),
    inference(variable_rename,[status(thm)],[f_1361_1]) ).

cnf(f_1361_3,plain,
    hAPP_list_char_bool(cOMBS_1502238389l_bool(U_7481,U_7480),U_7479) = hAPP_bool_bool(hAPP_l2010421276l_bool(U_7481,U_7479),hAPP_list_char_bool(U_7480,U_7479)),
    inference(clausify,[status(thm)],[f_1361_2]) ).

fof(f_1362_1,plain,
    ! [P,Q,R] : hAPP_nat_bool(hAPP_f800510211t_bool(hAPP_f1722879237t_bool(cOMBC_226598744l_bool,P),Q),R) = hAPP_f54304608l_bool(hAPP_n215258509l_bool(P,R),Q),
    inference(fof_nnf,[status(thm)],[help_COMBC_1_1_COMBC_000tc__Nat__Onat_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_]) ).

fof(f_1362_2,plain,
    ! [U_7484,U_7483,U_7482] : hAPP_nat_bool(hAPP_f800510211t_bool(hAPP_f1722879237t_bool(cOMBC_226598744l_bool,U_7484),U_7483),U_7482) = hAPP_f54304608l_bool(hAPP_n215258509l_bool(U_7484,U_7482),U_7483),
    inference(variable_rename,[status(thm)],[f_1362_1]) ).

cnf(f_1362_3,plain,
    hAPP_nat_bool(hAPP_f800510211t_bool(hAPP_f1722879237t_bool(cOMBC_226598744l_bool,U_7484),U_7483),U_7482) = hAPP_f54304608l_bool(hAPP_n215258509l_bool(U_7484,U_7482),U_7483),
    inference(clausify,[status(thm)],[f_1362_2]) ).

fof(f_1363_1,plain,
    ! [P,Q,R] : hAPP_n1006566506l_bool(hAPP_f1146629647l_bool(hAPP_f1080886329l_bool(cOMBB_1015721476ol_nat,P),Q),R) = hAPP_b589554111l_bool(P,hAPP_nat_bool(Q,R)),
    inference(fof_nnf,[status(thm)],[help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Oboo]) ).

fof(f_1363_2,plain,
    ! [U_7487,U_7486,U_7485] : hAPP_n1006566506l_bool(hAPP_f1146629647l_bool(hAPP_f1080886329l_bool(cOMBB_1015721476ol_nat,U_7487),U_7486),U_7485) = hAPP_b589554111l_bool(U_7487,hAPP_nat_bool(U_7486,U_7485)),
    inference(variable_rename,[status(thm)],[f_1363_1]) ).

cnf(f_1363_3,plain,
    hAPP_n1006566506l_bool(hAPP_f1146629647l_bool(hAPP_f1080886329l_bool(cOMBB_1015721476ol_nat,U_7487),U_7486),U_7485) = hAPP_b589554111l_bool(U_7487,hAPP_nat_bool(U_7486,U_7485)),
    inference(clausify,[status(thm)],[f_1363_2]) ).

fof(f_1364_1,plain,
    ! [P,Q] : hAPP_l512744617ion_ty(hAPP_o1240645474ion_ty(cOMBK_1294242658t_char,P),Q) = P,
    inference(fof_nnf,[status(thm)],[help_COMBK_1_1_COMBK_000tc__Option__Ooption_Itc__Type__Oty_J_000tc__List__Olist_]) ).

fof(f_1364_2,plain,
    ! [U_7489,U_7488] : hAPP_l512744617ion_ty(hAPP_o1240645474ion_ty(cOMBK_1294242658t_char,U_7489),U_7488) = U_7489,
    inference(variable_rename,[status(thm)],[f_1364_1]) ).

cnf(f_1364_3,plain,
    hAPP_l512744617ion_ty(hAPP_o1240645474ion_ty(cOMBK_1294242658t_char,U_7489),U_7488) = U_7489,
    inference(clausify,[status(thm)],[f_1364_2]) ).

fof(f_1365_1,plain,
    ! [P,Q] : hAPP_l207779698on_val(hAPP_o538043682on_val(cOMBK_1097134891t_char,P),Q) = P,
    inference(fof_nnf,[status(thm)],[help_COMBK_1_1_COMBK_000tc__Option__Ooption_Itc__Value__Oval_J_000tc__List__Olis]) ).

fof(f_1365_2,plain,
    ! [U_7491,U_7490] : hAPP_l207779698on_val(hAPP_o538043682on_val(cOMBK_1097134891t_char,U_7491),U_7490) = U_7491,
    inference(variable_rename,[status(thm)],[f_1365_1]) ).

cnf(f_1365_3,plain,
    hAPP_l207779698on_val(hAPP_o538043682on_val(cOMBK_1097134891t_char,U_7491),U_7490) = U_7491,
    inference(clausify,[status(thm)],[f_1365_2]) ).

fof(f_1366_1,plain,
    ! [P,Q,R] : hAPP_l512744617ion_ty(hAPP_f359949478ion_ty(hAPP_f1243585741ion_ty(cOMBB_1888336841t_char,P),Q),R) = hAPP_ty_option_ty(P,hAPP_list_char_ty(Q,R)),
    inference(fof_nnf,[status(thm)],[help_COMBB_1_1_COMBB_000tc__Type__Oty_000tc__Option__Ooption_Itc__Type__Oty_J_00]) ).

fof(f_1366_2,plain,
    ! [U_7494,U_7493,U_7492] : hAPP_l512744617ion_ty(hAPP_f359949478ion_ty(hAPP_f1243585741ion_ty(cOMBB_1888336841t_char,U_7494),U_7493),U_7492) = hAPP_ty_option_ty(U_7494,hAPP_list_char_ty(U_7493,U_7492)),
    inference(variable_rename,[status(thm)],[f_1366_1]) ).

cnf(f_1366_3,plain,
    hAPP_l512744617ion_ty(hAPP_f359949478ion_ty(hAPP_f1243585741ion_ty(cOMBB_1888336841t_char,U_7494),U_7493),U_7492) = hAPP_ty_option_ty(U_7494,hAPP_list_char_ty(U_7493,U_7492)),
    inference(clausify,[status(thm)],[f_1366_2]) ).

fof(f_1367_1,plain,
    ! [P,Q,R] : hAPP_list_char_bool(hAPP_o453398608r_bool(hAPP_f399018025r_bool(cOMBC_442485623l_bool,P),Q),R) = hAPP_option_val_bool(hAPP_l1646953198l_bool(P,R),Q),
    inference(fof_nnf,[status(thm)],[help_COMBC_1_1_COMBC_000tc__List__Olist_Itc__String__Ochar_J_000tc__Option__Oopt]) ).

fof(f_1367_2,plain,
    ! [U_7497,U_7496,U_7495] : hAPP_list_char_bool(hAPP_o453398608r_bool(hAPP_f399018025r_bool(cOMBC_442485623l_bool,U_7497),U_7496),U_7495) = hAPP_option_val_bool(hAPP_l1646953198l_bool(U_7497,U_7495),U_7496),
    inference(variable_rename,[status(thm)],[f_1367_1]) ).

cnf(f_1367_3,plain,
    hAPP_list_char_bool(hAPP_o453398608r_bool(hAPP_f399018025r_bool(cOMBC_442485623l_bool,U_7497),U_7496),U_7495) = hAPP_option_val_bool(hAPP_l1646953198l_bool(U_7497,U_7495),U_7496),
    inference(clausify,[status(thm)],[f_1367_2]) ).

fof(f_1368_1,plain,
    ! [P,Q,R] : hAPP_l2010421276l_bool(hAPP_f1163760061l_bool(hAPP_f1157863905l_bool(cOMBB_984708934t_char,P),Q),R) = hAPP_b589554111l_bool(P,hAPP_list_char_bool(Q,R)),
    inference(fof_nnf,[status(thm)],[help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Oboo_033]) ).

fof(f_1368_2,plain,
    ! [U_7500,U_7499,U_7498] : hAPP_l2010421276l_bool(hAPP_f1163760061l_bool(hAPP_f1157863905l_bool(cOMBB_984708934t_char,U_7500),U_7499),U_7498) = hAPP_b589554111l_bool(U_7500,hAPP_list_char_bool(U_7499,U_7498)),
    inference(variable_rename,[status(thm)],[f_1368_1]) ).

cnf(f_1368_3,plain,
    hAPP_l2010421276l_bool(hAPP_f1163760061l_bool(hAPP_f1157863905l_bool(cOMBB_984708934t_char,U_7500),U_7499),U_7498) = hAPP_b589554111l_bool(U_7500,hAPP_list_char_bool(U_7499,U_7498)),
    inference(clausify,[status(thm)],[f_1368_2]) ).

fof(f_1369_1,plain,
    ! [P,Q,R] : hAPP_val_bool(hAPP_f1728541444l_bool(hAPP_f1764548711l_bool(cOMBC_331963401l_bool,P),Q),R) = hAPP_f2028441009l_bool(hAPP_v3604996l_bool(P,R),Q),
    inference(fof_nnf,[status(thm)],[help_COMBC_1_1_COMBC_000tc__Value__Oval_000tc__fun_Itc__prod_Itc__Value__Oval_Mt]) ).

fof(f_1369_2,plain,
    ! [U_7503,U_7502,U_7501] : hAPP_val_bool(hAPP_f1728541444l_bool(hAPP_f1764548711l_bool(cOMBC_331963401l_bool,U_7503),U_7502),U_7501) = hAPP_f2028441009l_bool(hAPP_v3604996l_bool(U_7503,U_7501),U_7502),
    inference(variable_rename,[status(thm)],[f_1369_1]) ).

cnf(f_1369_3,plain,
    hAPP_val_bool(hAPP_f1728541444l_bool(hAPP_f1764548711l_bool(cOMBC_331963401l_bool,U_7503),U_7502),U_7501) = hAPP_f2028441009l_bool(hAPP_v3604996l_bool(U_7503,U_7501),U_7502),
    inference(clausify,[status(thm)],[f_1369_2]) ).

fof(f_1370_1,plain,
    ! [P,Q,R] : hAPP_list_char_bool(hAPP_f1371002581r_bool(hAPP_f522372661r_bool(cOMBC_892477410l_bool,P),Q),R) = hAPP_f986089162l_bool(hAPP_l1903254203l_bool(P,R),Q),
    inference(fof_nnf,[status(thm)],[help_COMBC_1_1_COMBC_000tc__List__Olist_Itc__String__Ochar_J_000tc__fun_Itc__Lis]) ).

fof(f_1370_2,plain,
    ! [U_7506,U_7505,U_7504] : hAPP_list_char_bool(hAPP_f1371002581r_bool(hAPP_f522372661r_bool(cOMBC_892477410l_bool,U_7506),U_7505),U_7504) = hAPP_f986089162l_bool(hAPP_l1903254203l_bool(U_7506,U_7504),U_7505),
    inference(variable_rename,[status(thm)],[f_1370_1]) ).

cnf(f_1370_3,plain,
    hAPP_list_char_bool(hAPP_f1371002581r_bool(hAPP_f522372661r_bool(cOMBC_892477410l_bool,U_7506),U_7505),U_7504) = hAPP_f986089162l_bool(hAPP_l1903254203l_bool(U_7506,U_7504),U_7505),
    inference(clausify,[status(thm)],[f_1370_2]) ).

fof(f_1371_1,plain,
    ! [P,Q,R] : hAPP_P449474095r_bool(cOMBS_350755140l_bool(P,Q),R) = hAPP_bool_bool(hAPP_P1457625805l_bool(P,R),hAPP_P449474095r_bool(Q,R)),
    inference(fof_nnf,[status(thm)],[help_COMBS_1_1_COMBS_000tc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__List]) ).

fof(f_1371_2,plain,
    ! [U_7509,U_7508,U_7507] : hAPP_P449474095r_bool(cOMBS_350755140l_bool(U_7509,U_7508),U_7507) = hAPP_bool_bool(hAPP_P1457625805l_bool(U_7509,U_7507),hAPP_P449474095r_bool(U_7508,U_7507)),
    inference(variable_rename,[status(thm)],[f_1371_1]) ).

cnf(f_1371_3,plain,
    hAPP_P449474095r_bool(cOMBS_350755140l_bool(U_7509,U_7508),U_7507) = hAPP_bool_bool(hAPP_P1457625805l_bool(U_7509,U_7507),hAPP_P449474095r_bool(U_7508,U_7507)),
    inference(clausify,[status(thm)],[f_1371_2]) ).

fof(f_1372_1,plain,
    ! [P,Q,R] : hAPP_f1033709212l_bool(hAPP_f1074020887l_bool(hAPP_f1863694447l_bool(cOMBB_383678192on_val,P),Q),R) = hAPP_bool_bool(P,hAPP_f1033709212l_bool(Q,R)),
    inference(fof_nnf,[status(thm)],[help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__HOL__Obool_000tc__fun_Itc__List__O]) ).

fof(f_1372_2,plain,
    ! [U_7512,U_7511,U_7510] : hAPP_f1033709212l_bool(hAPP_f1074020887l_bool(hAPP_f1863694447l_bool(cOMBB_383678192on_val,U_7512),U_7511),U_7510) = hAPP_bool_bool(U_7512,hAPP_f1033709212l_bool(U_7511,U_7510)),
    inference(variable_rename,[status(thm)],[f_1372_1]) ).

cnf(f_1372_3,plain,
    hAPP_f1033709212l_bool(hAPP_f1074020887l_bool(hAPP_f1863694447l_bool(cOMBB_383678192on_val,U_7512),U_7511),U_7510) = hAPP_bool_bool(U_7512,hAPP_f1033709212l_bool(U_7511,U_7510)),
    inference(clausify,[status(thm)],[f_1372_2]) ).

fof(f_1373_1,plain,
    ! [P,Q] : hAPP_P2094403585on_val(hAPP_o1269033393on_val(cOMBK_1867744698t_char,P),Q) = P,
    inference(fof_nnf,[status(thm)],[help_COMBK_1_1_COMBK_000tc__Option__Ooption_Itc__Value__Oval_J_000tc__prod_Itc__]) ).

fof(f_1373_2,plain,
    ! [U_7514,U_7513] : hAPP_P2094403585on_val(hAPP_o1269033393on_val(cOMBK_1867744698t_char,U_7514),U_7513) = U_7514,
    inference(variable_rename,[status(thm)],[f_1373_1]) ).

cnf(f_1373_3,plain,
    hAPP_P2094403585on_val(hAPP_o1269033393on_val(cOMBK_1867744698t_char,U_7514),U_7513) = U_7514,
    inference(clausify,[status(thm)],[f_1373_2]) ).

fof(f_1374_1,plain,
    ! [P,Q,R] : hAPP_v1392248405l_bool(hAPP_f198821591l_bool(hAPP_f1880802701l_bool(cOMBC_1979963740l_bool,P),Q),R) = hAPP_f1728541444l_bool(hAPP_v1988122071l_bool(P,R),Q),
    inference(fof_nnf,[status(thm)],[help_COMBC_1_1_COMBC_000tc__Value__Oval_000tc__fun_Itc__prod_Itc__Value__Oval_Mt_034]) ).

fof(f_1374_2,plain,
    ! [U_7517,U_7516,U_7515] : hAPP_v1392248405l_bool(hAPP_f198821591l_bool(hAPP_f1880802701l_bool(cOMBC_1979963740l_bool,U_7517),U_7516),U_7515) = hAPP_f1728541444l_bool(hAPP_v1988122071l_bool(U_7517,U_7515),U_7516),
    inference(variable_rename,[status(thm)],[f_1374_1]) ).

cnf(f_1374_3,plain,
    hAPP_v1392248405l_bool(hAPP_f198821591l_bool(hAPP_f1880802701l_bool(cOMBC_1979963740l_bool,U_7517),U_7516),U_7515) = hAPP_f1728541444l_bool(hAPP_v1988122071l_bool(U_7517,U_7515),U_7516),
    inference(clausify,[status(thm)],[f_1374_2]) ).

fof(f_1375_1,plain,
    ! [P,Q,R] : hAPP_l1646953198l_bool(hAPP_f396807521l_bool(hAPP_f926979333l_bool(cOMBB_1112666310t_char,P),Q),R) = hAPP_o586881855l_bool(P,hAPP_l207779698on_val(Q,R)),
    inference(fof_nnf,[status(thm)],[help_COMBB_1_1_COMBB_000tc__Option__Ooption_Itc__Value__Oval_J_000tc__fun_Itc__O]) ).

fof(f_1375_2,plain,
    ! [U_7520,U_7519,U_7518] : hAPP_l1646953198l_bool(hAPP_f396807521l_bool(hAPP_f926979333l_bool(cOMBB_1112666310t_char,U_7520),U_7519),U_7518) = hAPP_o586881855l_bool(U_7520,hAPP_l207779698on_val(U_7519,U_7518)),
    inference(variable_rename,[status(thm)],[f_1375_1]) ).

cnf(f_1375_3,plain,
    hAPP_l1646953198l_bool(hAPP_f396807521l_bool(hAPP_f926979333l_bool(cOMBB_1112666310t_char,U_7520),U_7519),U_7518) = hAPP_o586881855l_bool(U_7520,hAPP_l207779698on_val(U_7519,U_7518)),
    inference(clausify,[status(thm)],[f_1375_2]) ).

fof(f_1376_1,plain,
    ! [P,Q,R] : hAPP_P1457625805l_bool(hAPP_f644972157l_bool(hAPP_f722872225l_bool(cOMBB_1643767893t_char,P),Q),R) = hAPP_b589554111l_bool(P,hAPP_P449474095r_bool(Q,R)),
    inference(fof_nnf,[status(thm)],[help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Oboo_035]) ).

fof(f_1376_2,plain,
    ! [U_7523,U_7522,U_7521] : hAPP_P1457625805l_bool(hAPP_f644972157l_bool(hAPP_f722872225l_bool(cOMBB_1643767893t_char,U_7523),U_7522),U_7521) = hAPP_b589554111l_bool(U_7523,hAPP_P449474095r_bool(U_7522,U_7521)),
    inference(variable_rename,[status(thm)],[f_1376_1]) ).

cnf(f_1376_3,plain,
    hAPP_P1457625805l_bool(hAPP_f644972157l_bool(hAPP_f722872225l_bool(cOMBB_1643767893t_char,U_7523),U_7522),U_7521) = hAPP_b589554111l_bool(U_7523,hAPP_P449474095r_bool(U_7522,U_7521)),
    inference(clausify,[status(thm)],[f_1376_2]) ).

fof(f_1377_1,plain,
    ! [P,Q,R] : hAPP_v3604996l_bool(hAPP_f1394668591l_bool(hAPP_f183649339l_bool(cOMBB_2078984970ol_val,P),Q),R) = hAPP_P530382601l_bool(P,hAPP_v852496844al_val(Q,R)),
    inference(fof_nnf,[status(thm)],[help_COMBB_1_1_COMBB_000tc__prod_Itc__Value__Oval_Mtc__Value__Oval_J_000tc__fun_]) ).

fof(f_1377_2,plain,
    ! [U_7526,U_7525,U_7524] : hAPP_v3604996l_bool(hAPP_f1394668591l_bool(hAPP_f183649339l_bool(cOMBB_2078984970ol_val,U_7526),U_7525),U_7524) = hAPP_P530382601l_bool(U_7526,hAPP_v852496844al_val(U_7525,U_7524)),
    inference(variable_rename,[status(thm)],[f_1377_1]) ).

cnf(f_1377_3,plain,
    hAPP_v3604996l_bool(hAPP_f1394668591l_bool(hAPP_f183649339l_bool(cOMBB_2078984970ol_val,U_7526),U_7525),U_7524) = hAPP_P530382601l_bool(U_7526,hAPP_v852496844al_val(U_7525,U_7524)),
    inference(clausify,[status(thm)],[f_1377_2]) ).

fof(f_1378_1,plain,
    ! [P,Q,R] : hAPP_P929938951l_bool(hAPP_f1335946228l_bool(hAPP_f263393637l_bool(cOMBC_813705475l_bool,P),Q),R) = hAPP_f742333458l_bool(hAPP_P1614880106l_bool(P,R),Q),
    inference(fof_nnf,[status(thm)],[help_COMBC_1_1_COMBC_000tc__prod_Itc__Value__Oval_Mtc__Value__Oval_J_000tc__fun_]) ).

fof(f_1378_2,plain,
    ! [U_7529,U_7528,U_7527] : hAPP_P929938951l_bool(hAPP_f1335946228l_bool(hAPP_f263393637l_bool(cOMBC_813705475l_bool,U_7529),U_7528),U_7527) = hAPP_f742333458l_bool(hAPP_P1614880106l_bool(U_7529,U_7527),U_7528),
    inference(variable_rename,[status(thm)],[f_1378_1]) ).

cnf(f_1378_3,plain,
    hAPP_P929938951l_bool(hAPP_f1335946228l_bool(hAPP_f263393637l_bool(cOMBC_813705475l_bool,U_7529),U_7528),U_7527) = hAPP_f742333458l_bool(hAPP_P1614880106l_bool(U_7529,U_7527),U_7528),
    inference(clausify,[status(thm)],[f_1378_2]) ).

fof(f_1379_1,plain,
    ! [P,Q,R] : hAPP_list_char_bool(hAPP_f335969926r_bool(hAPP_f1367982615r_bool(cOMBC_1603044337l_bool,P),Q),R) = hAPP_f2106398425l_bool(hAPP_l553007690l_bool(P,R),Q),
    inference(fof_nnf,[status(thm)],[help_COMBC_1_1_COMBC_000tc__List__Olist_Itc__String__Ochar_J_000tc__fun_Itc__pro]) ).

fof(f_1379_2,plain,
    ! [U_7532,U_7531,U_7530] : hAPP_list_char_bool(hAPP_f335969926r_bool(hAPP_f1367982615r_bool(cOMBC_1603044337l_bool,U_7532),U_7531),U_7530) = hAPP_f2106398425l_bool(hAPP_l553007690l_bool(U_7532,U_7530),U_7531),
    inference(variable_rename,[status(thm)],[f_1379_1]) ).

cnf(f_1379_3,plain,
    hAPP_list_char_bool(hAPP_f335969926r_bool(hAPP_f1367982615r_bool(cOMBC_1603044337l_bool,U_7532),U_7531),U_7530) = hAPP_f2106398425l_bool(hAPP_l553007690l_bool(U_7532,U_7530),U_7531),
    inference(clausify,[status(thm)],[f_1379_2]) ).

fof(f_1380_1,plain,
    ! [P,Q] : hAPP_f652398900ion_ty(hAPP_o534509643ion_ty(cOMBK_184479553on_val,P),Q) = P,
    inference(fof_nnf,[status(thm)],[help_COMBK_1_1_COMBK_000tc__Option__Ooption_Itc__Type__Oty_J_000tc__fun_Itc__pro]) ).

fof(f_1380_2,plain,
    ! [U_7534,U_7533] : hAPP_f652398900ion_ty(hAPP_o534509643ion_ty(cOMBK_184479553on_val,U_7534),U_7533) = U_7534,
    inference(variable_rename,[status(thm)],[f_1380_1]) ).

cnf(f_1380_3,plain,
    hAPP_f652398900ion_ty(hAPP_o534509643ion_ty(cOMBK_184479553on_val,U_7534),U_7533) = U_7534,
    inference(clausify,[status(thm)],[f_1380_2]) ).

fof(f_1381_1,plain,
    ! [P,Q,R] : hAPP_b97269396l_bool(hAPP_f257113085l_bool(hAPP_f1100052969l_bool(cOMBC_199425070l_bool,P),Q),R) = hAPP_f1335946228l_bool(hAPP_b1257035143l_bool(P,R),Q),
    inference(fof_nnf,[status(thm)],[help_COMBC_1_1_COMBC_000tc__Expr__Obop_000tc__fun_Itc__prod_Itc__Expr__Obop_Mtc_]) ).

fof(f_1381_2,plain,
    ! [U_7537,U_7536,U_7535] : hAPP_b97269396l_bool(hAPP_f257113085l_bool(hAPP_f1100052969l_bool(cOMBC_199425070l_bool,U_7537),U_7536),U_7535) = hAPP_f1335946228l_bool(hAPP_b1257035143l_bool(U_7537,U_7535),U_7536),
    inference(variable_rename,[status(thm)],[f_1381_1]) ).

cnf(f_1381_3,plain,
    hAPP_b97269396l_bool(hAPP_f257113085l_bool(hAPP_f1100052969l_bool(cOMBC_199425070l_bool,U_7537),U_7536),U_7535) = hAPP_f1335946228l_bool(hAPP_b1257035143l_bool(U_7537,U_7535),U_7536),
    inference(clausify,[status(thm)],[f_1381_2]) ).

fof(f_1382_1,plain,
    ! [P,Q,R] : hAPP_f1033709212l_bool(hAPP_f603925568l_bool(hAPP_f181262431l_bool(cOMBC_832625297y_bool,P),Q),R) = hAPP_f1001225811y_bool(hAPP_f2060496320y_bool(P,R),Q),
    inference(fof_nnf,[status(thm)],[help_COMBC_1_1_COMBC_000tc__fun_Itc__List__Olist_Itc__String__Ochar_J_Mtc__Optio]) ).

fof(f_1382_2,plain,
    ! [U_7540,U_7539,U_7538] : hAPP_f1033709212l_bool(hAPP_f603925568l_bool(hAPP_f181262431l_bool(cOMBC_832625297y_bool,U_7540),U_7539),U_7538) = hAPP_f1001225811y_bool(hAPP_f2060496320y_bool(U_7540,U_7538),U_7539),
    inference(variable_rename,[status(thm)],[f_1382_1]) ).

cnf(f_1382_3,plain,
    hAPP_f1033709212l_bool(hAPP_f603925568l_bool(hAPP_f181262431l_bool(cOMBC_832625297y_bool,U_7540),U_7539),U_7538) = hAPP_f1001225811y_bool(hAPP_f2060496320y_bool(U_7540,U_7538),U_7539),
    inference(clausify,[status(thm)],[f_1382_2]) ).

fof(f_1383_1,plain,
    ! [P,Q,R] : hAPP_e544220455r_bool(hAPP_f1724656343r_bool(hAPP_f388097003r_bool(cOMBC_818212448l_bool,P),Q),R) = hAPP_f1314764175l_bool(hAPP_e53687815l_bool(P,R),Q),
    inference(fof_nnf,[status(thm)],[help_COMBC_1_1_COMBC_000tc__Expr__Oexp_Itc__List__Olist_Itc__String__Ochar_J_J_0]) ).

fof(f_1383_2,plain,
    ! [U_7543,U_7542,U_7541] : hAPP_e544220455r_bool(hAPP_f1724656343r_bool(hAPP_f388097003r_bool(cOMBC_818212448l_bool,U_7543),U_7542),U_7541) = hAPP_f1314764175l_bool(hAPP_e53687815l_bool(U_7543,U_7541),U_7542),
    inference(variable_rename,[status(thm)],[f_1383_1]) ).

cnf(f_1383_3,plain,
    hAPP_e544220455r_bool(hAPP_f1724656343r_bool(hAPP_f388097003r_bool(cOMBC_818212448l_bool,U_7543),U_7542),U_7541) = hAPP_f1314764175l_bool(hAPP_e53687815l_bool(U_7543,U_7541),U_7542),
    inference(clausify,[status(thm)],[f_1383_2]) ).

fof(f_1384_1,plain,
    ! [X,Y] :
      ( X = Y
      | ~ hBOOL(hAPP_o2007402111l_bool(hAPP_o1968908095l_bool(fequal1937332960on_val,X),Y)) ),
    inference(fof_nnf,[status(thm)],[help_fequal_1_1_fequal_000tc__Option__Ooption_Itc__prod_Itc__List__Olist_Itc__St]) ).

fof(f_1384_2,plain,
    ! [U_7545,U_7544] :
      ( U_7545 = U_7544
      | ~ hBOOL(hAPP_o2007402111l_bool(hAPP_o1968908095l_bool(fequal1937332960on_val,U_7545),U_7544)) ),
    inference(variable_rename,[status(thm)],[f_1384_1]) ).

cnf(f_1384_3,plain,
    ( U_7545 = U_7544
    | ~ hBOOL(hAPP_o2007402111l_bool(hAPP_o1968908095l_bool(fequal1937332960on_val,U_7545),U_7544)) ),
    inference(clausify,[status(thm)],[f_1384_2]) ).

fof(f_1385_1,plain,
    ! [X,Y] :
      ( hBOOL(hAPP_o2007402111l_bool(hAPP_o1968908095l_bool(fequal1937332960on_val,X),Y))
      | X != Y ),
    inference(fof_nnf,[status(thm)],[help_fequal_2_1_fequal_000tc__Option__Ooption_Itc__prod_Itc__List__Olist_Itc__St]) ).

fof(f_1385_2,plain,
    ! [U_7547,U_7546] :
      ( hBOOL(hAPP_o2007402111l_bool(hAPP_o1968908095l_bool(fequal1937332960on_val,U_7547),U_7546))
      | U_7547 != U_7546 ),
    inference(variable_rename,[status(thm)],[f_1385_1]) ).

cnf(f_1385_3,plain,
    ( hBOOL(hAPP_o2007402111l_bool(hAPP_o1968908095l_bool(fequal1937332960on_val,U_7547),U_7546))
    | U_7547 != U_7546 ),
    inference(clausify,[status(thm)],[f_1385_2]) ).

fof(f_1386_1,plain,
    ! [P,Q,R] : hAPP_l1361600383r_bool(hAPP_f344506159r_bool(hAPP_f447563647r_bool(cOMBC_389248878r_bool,P),Q),R) = hAPP_f335969926r_bool(hAPP_l1335043179r_bool(P,R),Q),
    inference(fof_nnf,[status(thm)],[help_COMBC_1_1_COMBC_000tc__List__Olist_Itc__String__Ochar_J_000tc__fun_Itc__pro_036]) ).

fof(f_1386_2,plain,
    ! [U_7550,U_7549,U_7548] : hAPP_l1361600383r_bool(hAPP_f344506159r_bool(hAPP_f447563647r_bool(cOMBC_389248878r_bool,U_7550),U_7549),U_7548) = hAPP_f335969926r_bool(hAPP_l1335043179r_bool(U_7550,U_7548),U_7549),
    inference(variable_rename,[status(thm)],[f_1386_1]) ).

cnf(f_1386_3,plain,
    hAPP_l1361600383r_bool(hAPP_f344506159r_bool(hAPP_f447563647r_bool(cOMBC_389248878r_bool,U_7550),U_7549),U_7548) = hAPP_f335969926r_bool(hAPP_l1335043179r_bool(U_7550,U_7548),U_7549),
    inference(clausify,[status(thm)],[f_1386_2]) ).

fof(f_1387_1,plain,
    ! [P,Q,R] : hAPP_v417179479l_bool(hAPP_f293485653l_bool(hAPP_f565735867l_bool(cOMBB_815843940ol_val,P),Q),R) = hAPP_f1394668591l_bool(P,hAPP_v1519391al_val(Q,R)),
    inference(fof_nnf,[status(thm)],[help_COMBB_1_1_COMBB_000tc__fun_Itc__Value__Oval_Mtc__prod_Itc__Value__Oval_Mtc_]) ).

fof(f_1387_2,plain,
    ! [U_7553,U_7552,U_7551] : hAPP_v417179479l_bool(hAPP_f293485653l_bool(hAPP_f565735867l_bool(cOMBB_815843940ol_val,U_7553),U_7552),U_7551) = hAPP_f1394668591l_bool(U_7553,hAPP_v1519391al_val(U_7552,U_7551)),
    inference(variable_rename,[status(thm)],[f_1387_1]) ).

cnf(f_1387_3,plain,
    hAPP_v417179479l_bool(hAPP_f293485653l_bool(hAPP_f565735867l_bool(cOMBB_815843940ol_val,U_7553),U_7552),U_7551) = hAPP_f1394668591l_bool(U_7553,hAPP_v1519391al_val(U_7552,U_7551)),
    inference(clausify,[status(thm)],[f_1387_2]) ).

fof(f_1388_1,plain,
    ! [P,Q,R] : hAPP_P449474095r_bool(hAPP_f112056853r_bool(hAPP_f1876889431r_bool(cOMBC_148995234l_bool,P),Q),R) = hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(P,R),Q),
    inference(fof_nnf,[status(thm)],[help_COMBC_1_1_COMBC_000tc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__List]) ).

fof(f_1388_2,plain,
    ! [U_7556,U_7555,U_7554] : hAPP_P449474095r_bool(hAPP_f112056853r_bool(hAPP_f1876889431r_bool(cOMBC_148995234l_bool,U_7556),U_7555),U_7554) = hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(U_7556,U_7554),U_7555),
    inference(variable_rename,[status(thm)],[f_1388_1]) ).

cnf(f_1388_3,plain,
    hAPP_P449474095r_bool(hAPP_f112056853r_bool(hAPP_f1876889431r_bool(cOMBC_148995234l_bool,U_7556),U_7555),U_7554) = hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(U_7556,U_7554),U_7555),
    inference(clausify,[status(thm)],[f_1388_2]) ).

fof(f_1389_1,plain,
    ! [P,Q,R] : hAPP_e544220455r_bool(hAPP_f1466436665r_bool(hAPP_f1766231913r_bool(cOMBC_220519196l_bool,P),Q),R) = hAPP_f82569901l_bool(hAPP_e1303556805l_bool(P,R),Q),
    inference(fof_nnf,[status(thm)],[help_COMBC_1_1_COMBC_000tc__Expr__Oexp_Itc__List__Olist_Itc__String__Ochar_J_J_0_037]) ).

fof(f_1389_2,plain,
    ! [U_7559,U_7558,U_7557] : hAPP_e544220455r_bool(hAPP_f1466436665r_bool(hAPP_f1766231913r_bool(cOMBC_220519196l_bool,U_7559),U_7558),U_7557) = hAPP_f82569901l_bool(hAPP_e1303556805l_bool(U_7559,U_7557),U_7558),
    inference(variable_rename,[status(thm)],[f_1389_1]) ).

cnf(f_1389_3,plain,
    hAPP_e544220455r_bool(hAPP_f1466436665r_bool(hAPP_f1766231913r_bool(cOMBC_220519196l_bool,U_7559),U_7558),U_7557) = hAPP_f82569901l_bool(hAPP_e1303556805l_bool(U_7559,U_7557),U_7558),
    inference(clausify,[status(thm)],[f_1389_2]) ).

fof(f_1390_1,plain,
    ! [P,Q] : hAPP_n546249108on_val(hAPP_o1576581476on_val(cOMBK_1944287343al_nat,P),Q) = P,
    inference(fof_nnf,[status(thm)],[help_COMBK_1_1_COMBK_000tc__Option__Ooption_Itc__prod_Itc__List__Olist_Itc__Stri]) ).

fof(f_1390_2,plain,
    ! [U_7561,U_7560] : hAPP_n546249108on_val(hAPP_o1576581476on_val(cOMBK_1944287343al_nat,U_7561),U_7560) = U_7561,
    inference(variable_rename,[status(thm)],[f_1390_1]) ).

cnf(f_1390_3,plain,
    hAPP_n546249108on_val(hAPP_o1576581476on_val(cOMBK_1944287343al_nat,U_7561),U_7560) = U_7561,
    inference(clausify,[status(thm)],[f_1390_2]) ).

fof(f_1391_1,plain,
    ! [P,Q,R] : hAPP_nat_bool(hAPP_o1566711458t_bool(hAPP_f489569861t_bool(cOMBC_229530231l_bool,P),Q),R) = hAPP_o2007402111l_bool(hAPP_n95946796l_bool(P,R),Q),
    inference(fof_nnf,[status(thm)],[help_COMBC_1_1_COMBC_000tc__Nat__Onat_000tc__Option__Ooption_Itc__prod_Itc__List]) ).

fof(f_1391_2,plain,
    ! [U_7564,U_7563,U_7562] : hAPP_nat_bool(hAPP_o1566711458t_bool(hAPP_f489569861t_bool(cOMBC_229530231l_bool,U_7564),U_7563),U_7562) = hAPP_o2007402111l_bool(hAPP_n95946796l_bool(U_7564,U_7562),U_7563),
    inference(variable_rename,[status(thm)],[f_1391_1]) ).

cnf(f_1391_3,plain,
    hAPP_nat_bool(hAPP_o1566711458t_bool(hAPP_f489569861t_bool(cOMBC_229530231l_bool,U_7564),U_7563),U_7562) = hAPP_o2007402111l_bool(hAPP_n95946796l_bool(U_7564,U_7562),U_7563),
    inference(clausify,[status(thm)],[f_1391_2]) ).

fof(f_1392_1,plain,
    ! [P,Q,R] : hAPP_P1614880106l_bool(hAPP_f1646911885l_bool(hAPP_f62511709l_bool(cOMBB_2139740953al_val,P),Q),R) = hAPP_P1653675595l_bool(P,hAPP_P929466802al_val(Q,R)),
    inference(fof_nnf,[status(thm)],[help_COMBB_1_1_COMBB_000tc__prod_Itc__Expr__Obop_Mtc__prod_Itc__Value__Oval_Mtc_]) ).

fof(f_1392_2,plain,
    ! [U_7567,U_7566,U_7565] : hAPP_P1614880106l_bool(hAPP_f1646911885l_bool(hAPP_f62511709l_bool(cOMBB_2139740953al_val,U_7567),U_7566),U_7565) = hAPP_P1653675595l_bool(U_7567,hAPP_P929466802al_val(U_7566,U_7565)),
    inference(variable_rename,[status(thm)],[f_1392_1]) ).

cnf(f_1392_3,plain,
    hAPP_P1614880106l_bool(hAPP_f1646911885l_bool(hAPP_f62511709l_bool(cOMBB_2139740953al_val,U_7567),U_7566),U_7565) = hAPP_P1653675595l_bool(U_7567,hAPP_P929466802al_val(U_7566,U_7565)),
    inference(clausify,[status(thm)],[f_1392_2]) ).

fof(f_1393_1,plain,
    ! [P,Q,R] : hAPP_l1062423959r_bool(hAPP_f1051205629r_bool(hAPP_f987862447r_bool(cOMBC_1387630958r_bool,P),Q),R) = hAPP_f1724656343r_bool(hAPP_l296209613r_bool(P,R),Q),
    inference(fof_nnf,[status(thm)],[help_COMBC_1_1_COMBC_000tc__List__Olist_Itc__Value__Oval_J_000tc__fun_Itc__prod_]) ).

fof(f_1393_2,plain,
    ! [U_7570,U_7569,U_7568] : hAPP_l1062423959r_bool(hAPP_f1051205629r_bool(hAPP_f987862447r_bool(cOMBC_1387630958r_bool,U_7570),U_7569),U_7568) = hAPP_f1724656343r_bool(hAPP_l296209613r_bool(U_7570,U_7568),U_7569),
    inference(variable_rename,[status(thm)],[f_1393_1]) ).

cnf(f_1393_3,plain,
    hAPP_l1062423959r_bool(hAPP_f1051205629r_bool(hAPP_f987862447r_bool(cOMBC_1387630958r_bool,U_7570),U_7569),U_7568) = hAPP_f1724656343r_bool(hAPP_l296209613r_bool(U_7570,U_7568),U_7569),
    inference(clausify,[status(thm)],[f_1393_2]) ).

fof(f_1394_1,plain,
    ! [P,Q,R] : hAPP_l2000496933ion_ty(hAPP_f451501457ion_ty(hAPP_f509342689ion_ty(cOMBB_352765746t_char,P),Q),R) = hAPP_o534509643ion_ty(P,hAPP_l512744617ion_ty(Q,R)),
    inference(fof_nnf,[status(thm)],[help_COMBB_1_1_COMBB_000tc__Option__Ooption_Itc__Type__Oty_J_000tc__fun_Itc__fun]) ).

fof(f_1394_2,plain,
    ! [U_7573,U_7572,U_7571] : hAPP_l2000496933ion_ty(hAPP_f451501457ion_ty(hAPP_f509342689ion_ty(cOMBB_352765746t_char,U_7573),U_7572),U_7571) = hAPP_o534509643ion_ty(U_7573,hAPP_l512744617ion_ty(U_7572,U_7571)),
    inference(variable_rename,[status(thm)],[f_1394_1]) ).

cnf(f_1394_3,plain,
    hAPP_l2000496933ion_ty(hAPP_f451501457ion_ty(hAPP_f509342689ion_ty(cOMBB_352765746t_char,U_7573),U_7572),U_7571) = hAPP_o534509643ion_ty(U_7573,hAPP_l512744617ion_ty(U_7572,U_7571)),
    inference(clausify,[status(thm)],[f_1394_2]) ).

fof(f_1395_1,plain,
    ! [P,Q,R] : hAPP_l553007690l_bool(hAPP_f558380429l_bool(hAPP_f144783951l_bool(cOMBB_1586673472t_char,P),Q),R) = hAPP_P1180869721l_bool(P,hAPP_l2100324114t_char(Q,R)),
    inference(fof_nnf,[status(thm)],[help_COMBB_1_1_COMBB_000tc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__List]) ).

fof(f_1395_2,plain,
    ! [U_7576,U_7575,U_7574] : hAPP_l553007690l_bool(hAPP_f558380429l_bool(hAPP_f144783951l_bool(cOMBB_1586673472t_char,U_7576),U_7575),U_7574) = hAPP_P1180869721l_bool(U_7576,hAPP_l2100324114t_char(U_7575,U_7574)),
    inference(variable_rename,[status(thm)],[f_1395_1]) ).

cnf(f_1395_3,plain,
    hAPP_l553007690l_bool(hAPP_f558380429l_bool(hAPP_f144783951l_bool(cOMBB_1586673472t_char,U_7576),U_7575),U_7574) = hAPP_P1180869721l_bool(U_7576,hAPP_l2100324114t_char(U_7575,U_7574)),
    inference(clausify,[status(thm)],[f_1395_2]) ).

fof(f_1396_1,plain,
    ! [P,Q,R] : hAPP_v1988122071l_bool(hAPP_f1859053709l_bool(hAPP_f400269243l_bool(cOMBB_1701031980ol_val,P),Q),R) = hAPP_f1764548711l_bool(P,hAPP_v417179479l_bool(Q,R)),
    inference(fof_nnf,[status(thm)],[help_COMBB_1_1_COMBB_000tc__fun_Itc__Value__Oval_Mtc__fun_Itc__fun_Itc__prod_Itc]) ).

fof(f_1396_2,plain,
    ! [U_7579,U_7578,U_7577] : hAPP_v1988122071l_bool(hAPP_f1859053709l_bool(hAPP_f400269243l_bool(cOMBB_1701031980ol_val,U_7579),U_7578),U_7577) = hAPP_f1764548711l_bool(U_7579,hAPP_v417179479l_bool(U_7578,U_7577)),
    inference(variable_rename,[status(thm)],[f_1396_1]) ).

cnf(f_1396_3,plain,
    hAPP_v1988122071l_bool(hAPP_f1859053709l_bool(hAPP_f400269243l_bool(cOMBB_1701031980ol_val,U_7579),U_7578),U_7577) = hAPP_f1764548711l_bool(U_7579,hAPP_v417179479l_bool(U_7578,U_7577)),
    inference(clausify,[status(thm)],[f_1396_2]) ).

fof(f_1397_1,plain,
    ! [P,Q,R] : hAPP_P1384137393r_bool(cOMBS_1743887558l_bool(P,Q),R) = hAPP_bool_bool(hAPP_P415257547l_bool(P,R),hAPP_P1384137393r_bool(Q,R)),
    inference(fof_nnf,[status(thm)],[help_COMBS_1_1_COMBS_000tc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__prod]) ).

fof(f_1397_2,plain,
    ! [U_7582,U_7581,U_7580] : hAPP_P1384137393r_bool(cOMBS_1743887558l_bool(U_7582,U_7581),U_7580) = hAPP_bool_bool(hAPP_P415257547l_bool(U_7582,U_7580),hAPP_P1384137393r_bool(U_7581,U_7580)),
    inference(variable_rename,[status(thm)],[f_1397_1]) ).

cnf(f_1397_3,plain,
    hAPP_P1384137393r_bool(cOMBS_1743887558l_bool(U_7582,U_7581),U_7580) = hAPP_bool_bool(hAPP_P415257547l_bool(U_7582,U_7580),hAPP_P1384137393r_bool(U_7581,U_7580)),
    inference(clausify,[status(thm)],[f_1397_2]) ).

fof(f_1398_1,plain,
    ! [P,Q,R] : hAPP_l214204733r_bool(hAPP_f2091926485r_bool(hAPP_f1820115955r_bool(cOMBC_790582442r_bool,P),Q),R) = hAPP_f1466436665r_bool(hAPP_l753659065r_bool(P,R),Q),
    inference(fof_nnf,[status(thm)],[help_COMBC_1_1_COMBC_000tc__List__Olist_Itc__List__Olist_Itc__String__Ochar_J_J_]) ).

fof(f_1398_2,plain,
    ! [U_7585,U_7584,U_7583] : hAPP_l214204733r_bool(hAPP_f2091926485r_bool(hAPP_f1820115955r_bool(cOMBC_790582442r_bool,U_7585),U_7584),U_7583) = hAPP_f1466436665r_bool(hAPP_l753659065r_bool(U_7585,U_7583),U_7584),
    inference(variable_rename,[status(thm)],[f_1398_1]) ).

cnf(f_1398_3,plain,
    hAPP_l214204733r_bool(hAPP_f2091926485r_bool(hAPP_f1820115955r_bool(cOMBC_790582442r_bool,U_7585),U_7584),U_7583) = hAPP_f1466436665r_bool(hAPP_l753659065r_bool(U_7585,U_7583),U_7584),
    inference(clausify,[status(thm)],[f_1398_2]) ).

fof(f_1399_1,plain,
    ! [P,Q,R] : hAPP_f1145256474l_bool(hAPP_f1452292669l_bool(hAPP_f1977633121l_bool(cOMBB_1303934920on_val,P),Q),R) = hAPP_b589554111l_bool(P,hAPP_f61040418l_bool(Q,R)),
    inference(fof_nnf,[status(thm)],[help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Oboo_038]) ).

fof(f_1399_2,plain,
    ! [U_7588,U_7587,U_7586] : hAPP_f1145256474l_bool(hAPP_f1452292669l_bool(hAPP_f1977633121l_bool(cOMBB_1303934920on_val,U_7588),U_7587),U_7586) = hAPP_b589554111l_bool(U_7588,hAPP_f61040418l_bool(U_7587,U_7586)),
    inference(variable_rename,[status(thm)],[f_1399_1]) ).

cnf(f_1399_3,plain,
    hAPP_f1145256474l_bool(hAPP_f1452292669l_bool(hAPP_f1977633121l_bool(cOMBB_1303934920on_val,U_7588),U_7587),U_7586) = hAPP_b589554111l_bool(U_7588,hAPP_f61040418l_bool(U_7587,U_7586)),
    inference(clausify,[status(thm)],[f_1399_2]) ).

fof(f_1400_1,plain,
    ! [P,Q,R] : hAPP_P2118621157r_bool(hAPP_f1298720864r_bool(hAPP_f225832321r_bool(cOMBC_1365742487l_bool,P),Q),R) = hAPP_f1746574980l_bool(hAPP_P2028292026l_bool(P,R),Q),
    inference(fof_nnf,[status(thm)],[help_COMBC_1_1_COMBC_000tc__prod_Itc__List__Olist_Itc__Value__Oval_J_Mtc__Expr__]) ).

fof(f_1400_2,plain,
    ! [U_7591,U_7590,U_7589] : hAPP_P2118621157r_bool(hAPP_f1298720864r_bool(hAPP_f225832321r_bool(cOMBC_1365742487l_bool,U_7591),U_7590),U_7589) = hAPP_f1746574980l_bool(hAPP_P2028292026l_bool(U_7591,U_7589),U_7590),
    inference(variable_rename,[status(thm)],[f_1400_1]) ).

cnf(f_1400_3,plain,
    hAPP_P2118621157r_bool(hAPP_f1298720864r_bool(hAPP_f225832321r_bool(cOMBC_1365742487l_bool,U_7591),U_7590),U_7589) = hAPP_f1746574980l_bool(hAPP_P2028292026l_bool(U_7591,U_7589),U_7590),
    inference(clausify,[status(thm)],[f_1400_2]) ).

fof(f_1401_1,plain,
    ! [P,Q,R] : hAPP_P415257547l_bool(hAPP_f1985672189l_bool(hAPP_f1169733153l_bool(cOMBB_565990871t_char,P),Q),R) = hAPP_b589554111l_bool(P,hAPP_P1384137393r_bool(Q,R)),
    inference(fof_nnf,[status(thm)],[help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Oboo_039]) ).

fof(f_1401_2,plain,
    ! [U_7594,U_7593,U_7592] : hAPP_P415257547l_bool(hAPP_f1985672189l_bool(hAPP_f1169733153l_bool(cOMBB_565990871t_char,U_7594),U_7593),U_7592) = hAPP_b589554111l_bool(U_7594,hAPP_P1384137393r_bool(U_7593,U_7592)),
    inference(variable_rename,[status(thm)],[f_1401_1]) ).

cnf(f_1401_3,plain,
    hAPP_P415257547l_bool(hAPP_f1985672189l_bool(hAPP_f1169733153l_bool(cOMBB_565990871t_char,U_7594),U_7593),U_7592) = hAPP_b589554111l_bool(U_7594,hAPP_P1384137393r_bool(U_7593,U_7592)),
    inference(clausify,[status(thm)],[f_1401_2]) ).

fof(f_1402_1,plain,
    ! [P,Q,R] : hAPP_e53687815l_bool(hAPP_f361629773l_bool(hAPP_f1612138403l_bool(cOMBB_961360819t_char,P),Q),R) = hAPP_P845017029l_bool(P,hAPP_e1752110927t_char(Q,R)),
    inference(fof_nnf,[status(thm)],[help_COMBB_1_1_COMBB_000tc__prod_Itc__List__Olist_Itc__Value__Oval_J_Mtc__Expr__]) ).

fof(f_1402_2,plain,
    ! [U_7597,U_7596,U_7595] : hAPP_e53687815l_bool(hAPP_f361629773l_bool(hAPP_f1612138403l_bool(cOMBB_961360819t_char,U_7597),U_7596),U_7595) = hAPP_P845017029l_bool(U_7597,hAPP_e1752110927t_char(U_7596,U_7595)),
    inference(variable_rename,[status(thm)],[f_1402_1]) ).

cnf(f_1402_3,plain,
    hAPP_e53687815l_bool(hAPP_f361629773l_bool(hAPP_f1612138403l_bool(cOMBB_961360819t_char,U_7597),U_7596),U_7595) = hAPP_P845017029l_bool(U_7597,hAPP_e1752110927t_char(U_7596,U_7595)),
    inference(clausify,[status(thm)],[f_1402_2]) ).

fof(f_1403_1,plain,
    ! [P,Q,R] : hAPP_b406740087l_bool(hAPP_f866074145l_bool(hAPP_f877616419l_bool(cOMBB_1458388806ol_bop,P),Q),R) = hAPP_f1646911885l_bool(P,hAPP_b1229254591al_val(Q,R)),
    inference(fof_nnf,[status(thm)],[help_COMBB_1_1_COMBB_000tc__fun_Itc__prod_Itc__Value__Oval_Mtc__Value__Oval_J_Mt]) ).

fof(f_1403_2,plain,
    ! [U_7600,U_7599,U_7598] : hAPP_b406740087l_bool(hAPP_f866074145l_bool(hAPP_f877616419l_bool(cOMBB_1458388806ol_bop,U_7600),U_7599),U_7598) = hAPP_f1646911885l_bool(U_7600,hAPP_b1229254591al_val(U_7599,U_7598)),
    inference(variable_rename,[status(thm)],[f_1403_1]) ).

cnf(f_1403_3,plain,
    hAPP_b406740087l_bool(hAPP_f866074145l_bool(hAPP_f877616419l_bool(cOMBB_1458388806ol_bop,U_7600),U_7599),U_7598) = hAPP_f1646911885l_bool(U_7600,hAPP_b1229254591al_val(U_7599,U_7598)),
    inference(clausify,[status(thm)],[f_1403_2]) ).

fof(f_1404_1,plain,
    ! [P,Q,R] : hAPP_l1987619678r_bool(hAPP_f2071340985r_bool(hAPP_f133320957r_bool(cOMBC_1127703214r_bool,P),Q),R) = hAPP_f1298720864r_bool(hAPP_l96108383r_bool(P,R),Q),
    inference(fof_nnf,[status(thm)],[help_COMBC_1_1_COMBC_000tc__List__Olist_Itc__Type__Oty_J_000tc__fun_Itc__prod_It]) ).

fof(f_1404_2,plain,
    ! [U_7603,U_7602,U_7601] : hAPP_l1987619678r_bool(hAPP_f2071340985r_bool(hAPP_f133320957r_bool(cOMBC_1127703214r_bool,U_7603),U_7602),U_7601) = hAPP_f1298720864r_bool(hAPP_l96108383r_bool(U_7603,U_7601),U_7602),
    inference(variable_rename,[status(thm)],[f_1404_1]) ).

cnf(f_1404_3,plain,
    hAPP_l1987619678r_bool(hAPP_f2071340985r_bool(hAPP_f133320957r_bool(cOMBC_1127703214r_bool,U_7603),U_7602),U_7601) = hAPP_f1298720864r_bool(hAPP_l96108383r_bool(U_7603,U_7601),U_7602),
    inference(clausify,[status(thm)],[f_1404_2]) ).

fof(f_1405_1,plain,
    ! [P,Q,R] : hAPP_e1303556805l_bool(hAPP_f901718717l_bool(hAPP_f380623487l_bool(cOMBB_1033145403t_char,P),Q),R) = hAPP_P1293136973l_bool(P,hAPP_e952791821t_char(Q,R)),
    inference(fof_nnf,[status(thm)],[help_COMBB_1_1_COMBB_000tc__prod_Itc__List__Olist_Itc__List__Olist_Itc__String__]) ).

fof(f_1405_2,plain,
    ! [U_7606,U_7605,U_7604] : hAPP_e1303556805l_bool(hAPP_f901718717l_bool(hAPP_f380623487l_bool(cOMBB_1033145403t_char,U_7606),U_7605),U_7604) = hAPP_P1293136973l_bool(U_7606,hAPP_e952791821t_char(U_7605,U_7604)),
    inference(variable_rename,[status(thm)],[f_1405_1]) ).

cnf(f_1405_3,plain,
    hAPP_e1303556805l_bool(hAPP_f901718717l_bool(hAPP_f380623487l_bool(cOMBB_1033145403t_char,U_7606),U_7605),U_7604) = hAPP_P1293136973l_bool(U_7606,hAPP_e952791821t_char(U_7605,U_7604)),
    inference(clausify,[status(thm)],[f_1405_2]) ).

fof(f_1406_1,plain,
    ! [P,Q,R] : hAPP_l1425867561l_bool(hAPP_f1764180741l_bool(hAPP_f247798919l_bool(cOMBB_526805108t_char,P),Q),R) = hAPP_f558380429l_bool(P,hAPP_l208357873t_char(Q,R)),
    inference(fof_nnf,[status(thm)],[help_COMBB_1_1_COMBB_000tc__fun_Itc__List__Olist_Itc__String__Ochar_J_Mtc__prod_]) ).

fof(f_1406_2,plain,
    ! [U_7609,U_7608,U_7607] : hAPP_l1425867561l_bool(hAPP_f1764180741l_bool(hAPP_f247798919l_bool(cOMBB_526805108t_char,U_7609),U_7608),U_7607) = hAPP_f558380429l_bool(U_7609,hAPP_l208357873t_char(U_7608,U_7607)),
    inference(variable_rename,[status(thm)],[f_1406_1]) ).

cnf(f_1406_3,plain,
    hAPP_l1425867561l_bool(hAPP_f1764180741l_bool(hAPP_f247798919l_bool(cOMBB_526805108t_char,U_7609),U_7608),U_7607) = hAPP_f558380429l_bool(U_7609,hAPP_l208357873t_char(U_7608,U_7607)),
    inference(clausify,[status(thm)],[f_1406_2]) ).

fof(f_1407_1,plain,
    ! [P,Q,R] : hAPP_f652398900ion_ty(hAPP_f2110071953ion_ty(hAPP_f69964139ion_ty(cOMBB_2041093409on_val,P),Q),R) = hAPP_P1228500987ion_ty(P,hAPP_f900686428on_val(Q,R)),
    inference(fof_nnf,[status(thm)],[help_COMBB_1_1_COMBB_000tc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__fun_]) ).

fof(f_1407_2,plain,
    ! [U_7612,U_7611,U_7610] : hAPP_f652398900ion_ty(hAPP_f2110071953ion_ty(hAPP_f69964139ion_ty(cOMBB_2041093409on_val,U_7612),U_7611),U_7610) = hAPP_P1228500987ion_ty(U_7612,hAPP_f900686428on_val(U_7611,U_7610)),
    inference(variable_rename,[status(thm)],[f_1407_1]) ).

cnf(f_1407_3,plain,
    hAPP_f652398900ion_ty(hAPP_f2110071953ion_ty(hAPP_f69964139ion_ty(cOMBB_2041093409on_val,U_7612),U_7611),U_7610) = hAPP_P1228500987ion_ty(U_7612,hAPP_f900686428on_val(U_7611,U_7610)),
    inference(clausify,[status(thm)],[f_1407_2]) ).

fof(f_1408_1,plain,
    ! [P,Q,R] : hAPP_f1715346603l_bool(hAPP_f1579743228l_bool(hAPP_f1166017719l_bool(cOMBC_317789649l_bool,P),Q),R) = hAPP_f1134950784l_bool(hAPP_f749178132l_bool(P,R),Q),
    inference(fof_nnf,[status(thm)],[help_COMBC_1_1_COMBC_000tc__fun_Itc__prod_Itc__List__Olist_Itc__String__Ochar_J_]) ).

fof(f_1408_2,plain,
    ! [U_7615,U_7614,U_7613] : hAPP_f1715346603l_bool(hAPP_f1579743228l_bool(hAPP_f1166017719l_bool(cOMBC_317789649l_bool,U_7615),U_7614),U_7613) = hAPP_f1134950784l_bool(hAPP_f749178132l_bool(U_7615,U_7613),U_7614),
    inference(variable_rename,[status(thm)],[f_1408_1]) ).

cnf(f_1408_3,plain,
    hAPP_f1715346603l_bool(hAPP_f1579743228l_bool(hAPP_f1166017719l_bool(cOMBC_317789649l_bool,U_7615),U_7614),U_7613) = hAPP_f1134950784l_bool(hAPP_f749178132l_bool(U_7615,U_7613),U_7614),
    inference(clausify,[status(thm)],[f_1408_2]) ).

fof(f_1409_1,plain,
    ! [P,Q,R] : hAPP_b1257035143l_bool(hAPP_f2100207721l_bool(hAPP_f1374595987l_bool(cOMBB_761748254ol_bop,P),Q),R) = hAPP_f263393637l_bool(P,hAPP_b406740087l_bool(Q,R)),
    inference(fof_nnf,[status(thm)],[help_COMBB_1_1_COMBB_000tc__fun_Itc__prod_Itc__Value__Oval_Mtc__Value__Oval_J_Mt_040]) ).

fof(f_1409_2,plain,
    ! [U_7618,U_7617,U_7616] : hAPP_b1257035143l_bool(hAPP_f2100207721l_bool(hAPP_f1374595987l_bool(cOMBB_761748254ol_bop,U_7618),U_7617),U_7616) = hAPP_f263393637l_bool(U_7618,hAPP_b406740087l_bool(U_7617,U_7616)),
    inference(variable_rename,[status(thm)],[f_1409_1]) ).

cnf(f_1409_3,plain,
    hAPP_b1257035143l_bool(hAPP_f2100207721l_bool(hAPP_f1374595987l_bool(cOMBB_761748254ol_bop,U_7618),U_7617),U_7616) = hAPP_f263393637l_bool(U_7618,hAPP_b406740087l_bool(U_7617,U_7616)),
    inference(clausify,[status(thm)],[f_1409_2]) ).

fof(f_1410_1,plain,
    ! [P,Q,R] : hAPP_P1907982426r_bool(hAPP_f1874697593r_bool(hAPP_f1707979241r_bool(cOMBC_407285762l_bool,P),Q),R) = hAPP_f1780084320l_bool(hAPP_P1562529797l_bool(P,R),Q),
    inference(fof_nnf,[status(thm)],[help_COMBC_1_1_COMBC_000tc__prod_Itc__List__Olist_Itc__Type__Oty_J_Mtc__prod_Itc]) ).

fof(f_1410_2,plain,
    ! [U_7621,U_7620,U_7619] : hAPP_P1907982426r_bool(hAPP_f1874697593r_bool(hAPP_f1707979241r_bool(cOMBC_407285762l_bool,U_7621),U_7620),U_7619) = hAPP_f1780084320l_bool(hAPP_P1562529797l_bool(U_7621,U_7619),U_7620),
    inference(variable_rename,[status(thm)],[f_1410_1]) ).

cnf(f_1410_3,plain,
    hAPP_P1907982426r_bool(hAPP_f1874697593r_bool(hAPP_f1707979241r_bool(cOMBC_407285762l_bool,U_7621),U_7620),U_7619) = hAPP_f1780084320l_bool(hAPP_P1562529797l_bool(U_7621,U_7619),U_7620),
    inference(clausify,[status(thm)],[f_1410_2]) ).

fof(f_1411_1,plain,
    ! [P,Q,R] : hAPP_l1335043179r_bool(hAPP_f1032444159r_bool(hAPP_f254182519r_bool(cOMBB_1551681790t_char,P),Q),R) = hAPP_f1367982615r_bool(P,hAPP_l1425867561l_bool(Q,R)),
    inference(fof_nnf,[status(thm)],[help_COMBB_1_1_COMBB_000tc__fun_Itc__List__Olist_Itc__String__Ochar_J_Mtc__fun_I]) ).

fof(f_1411_2,plain,
    ! [U_7624,U_7623,U_7622] : hAPP_l1335043179r_bool(hAPP_f1032444159r_bool(hAPP_f254182519r_bool(cOMBB_1551681790t_char,U_7624),U_7623),U_7622) = hAPP_f1367982615r_bool(U_7624,hAPP_l1425867561l_bool(U_7623,U_7622)),
    inference(variable_rename,[status(thm)],[f_1411_1]) ).

cnf(f_1411_3,plain,
    hAPP_l1335043179r_bool(hAPP_f1032444159r_bool(hAPP_f254182519r_bool(cOMBB_1551681790t_char,U_7624),U_7623),U_7622) = hAPP_f1367982615r_bool(U_7624,hAPP_l1425867561l_bool(U_7623,U_7622)),
    inference(clausify,[status(thm)],[f_1411_2]) ).

fof(f_1412_1,plain,
    ! [P,Q,R] : hAPP_l465799708l_bool(hAPP_f2080627739l_bool(hAPP_f350189921l_bool(cOMBC_1535683812l_bool,P),Q),R) = hAPP_f1579743228l_bool(hAPP_l1739862107l_bool(P,R),Q),
    inference(fof_nnf,[status(thm)],[help_COMBC_1_1_COMBC_000tc__List__Olist_Itc__String__Ochar_J_000tc__fun_Itc__pro_041]) ).

fof(f_1412_2,plain,
    ! [U_7627,U_7626,U_7625] : hAPP_l465799708l_bool(hAPP_f2080627739l_bool(hAPP_f350189921l_bool(cOMBC_1535683812l_bool,U_7627),U_7626),U_7625) = hAPP_f1579743228l_bool(hAPP_l1739862107l_bool(U_7627,U_7625),U_7626),
    inference(variable_rename,[status(thm)],[f_1412_1]) ).

cnf(f_1412_3,plain,
    hAPP_l465799708l_bool(hAPP_f2080627739l_bool(hAPP_f350189921l_bool(cOMBC_1535683812l_bool,U_7627),U_7626),U_7625) = hAPP_f1579743228l_bool(hAPP_l1739862107l_bool(U_7627,U_7625),U_7626),
    inference(clausify,[status(thm)],[f_1412_2]) ).

fof(f_1413_1,plain,
    ! [P,Q,R] : hAPP_l1842007287l_bool(hAPP_f2118054305l_bool(hAPP_f1687138147l_bool(cOMBB_2078271971st_val,P),Q),R) = hAPP_f361629773l_bool(P,hAPP_l1859255743t_char(Q,R)),
    inference(fof_nnf,[status(thm)],[help_COMBB_1_1_COMBB_000tc__fun_Itc__Expr__Oexp_Itc__List__Olist_Itc__String__Oc]) ).

fof(f_1413_2,plain,
    ! [U_7630,U_7629,U_7628] : hAPP_l1842007287l_bool(hAPP_f2118054305l_bool(hAPP_f1687138147l_bool(cOMBB_2078271971st_val,U_7630),U_7629),U_7628) = hAPP_f361629773l_bool(U_7630,hAPP_l1859255743t_char(U_7629,U_7628)),
    inference(variable_rename,[status(thm)],[f_1413_1]) ).

cnf(f_1413_3,plain,
    hAPP_l1842007287l_bool(hAPP_f2118054305l_bool(hAPP_f1687138147l_bool(cOMBB_2078271971st_val,U_7630),U_7629),U_7628) = hAPP_f361629773l_bool(U_7630,hAPP_l1859255743t_char(U_7629,U_7628)),
    inference(clausify,[status(thm)],[f_1413_2]) ).

fof(f_1414_1,plain,
    ! [P,Q,R] : hAPP_f1175813647l_bool(hAPP_f550652027l_bool(hAPP_f838396643l_bool(cOMBC_2027949654l_bool,P),Q),R) = hAPP_f603925568l_bool(hAPP_f1617787571l_bool(P,R),Q),
    inference(fof_nnf,[status(thm)],[help_COMBC_1_1_COMBC_000tc__fun_Itc__Nat__Onat_Mtc__Option__Ooption_Itc__prod_It]) ).

fof(f_1414_2,plain,
    ! [U_7633,U_7632,U_7631] : hAPP_f1175813647l_bool(hAPP_f550652027l_bool(hAPP_f838396643l_bool(cOMBC_2027949654l_bool,U_7633),U_7632),U_7631) = hAPP_f603925568l_bool(hAPP_f1617787571l_bool(U_7633,U_7631),U_7632),
    inference(variable_rename,[status(thm)],[f_1414_1]) ).

cnf(f_1414_3,plain,
    hAPP_f1175813647l_bool(hAPP_f550652027l_bool(hAPP_f838396643l_bool(cOMBC_2027949654l_bool,U_7633),U_7632),U_7631) = hAPP_f603925568l_bool(hAPP_f1617787571l_bool(U_7633,U_7631),U_7632),
    inference(clausify,[status(thm)],[f_1414_2]) ).

fof(f_1415_1,plain,
    ! [P,Q,R] : hAPP_f1033709212l_bool(hAPP_f1008932791l_bool(hAPP_f2057883639l_bool(cOMBB_1750801836on_val,P),Q),R) = hAPP_P159683425l_bool(P,hAPP_f1727192346on_val(Q,R)),
    inference(fof_nnf,[status(thm)],[help_COMBB_1_1_COMBB_000tc__prod_Itc__fun_Itc__Nat__Onat_Mtc__Option__Ooption_It]) ).

fof(f_1415_2,plain,
    ! [U_7636,U_7635,U_7634] : hAPP_f1033709212l_bool(hAPP_f1008932791l_bool(hAPP_f2057883639l_bool(cOMBB_1750801836on_val,U_7636),U_7635),U_7634) = hAPP_P159683425l_bool(U_7636,hAPP_f1727192346on_val(U_7635,U_7634)),
    inference(variable_rename,[status(thm)],[f_1415_1]) ).

cnf(f_1415_3,plain,
    hAPP_f1033709212l_bool(hAPP_f1008932791l_bool(hAPP_f2057883639l_bool(cOMBB_1750801836on_val,U_7636),U_7635),U_7634) = hAPP_P159683425l_bool(U_7636,hAPP_f1727192346on_val(U_7635,U_7634)),
    inference(clausify,[status(thm)],[f_1415_2]) ).

fof(f_1416_1,plain,
    ! [P,Q,R] : hAPP_P2028292026l_bool(hAPP_f921434893l_bool(hAPP_f693085049l_bool(cOMBB_147773915t_char,P),Q),R) = hAPP_P1198052655l_bool(P,hAPP_P1392904962t_char(Q,R)),
    inference(fof_nnf,[status(thm)],[help_COMBB_1_1_COMBB_000tc__prod_Itc__List__Olist_Itc__Type__Oty_J_Mtc__prod_Itc]) ).

fof(f_1416_2,plain,
    ! [U_7639,U_7638,U_7637] : hAPP_P2028292026l_bool(hAPP_f921434893l_bool(hAPP_f693085049l_bool(cOMBB_147773915t_char,U_7639),U_7638),U_7637) = hAPP_P1198052655l_bool(U_7639,hAPP_P1392904962t_char(U_7638,U_7637)),
    inference(variable_rename,[status(thm)],[f_1416_1]) ).

cnf(f_1416_3,plain,
    hAPP_P2028292026l_bool(hAPP_f921434893l_bool(hAPP_f693085049l_bool(cOMBB_147773915t_char,U_7639),U_7638),U_7637) = hAPP_P1198052655l_bool(U_7639,hAPP_P1392904962t_char(U_7638,U_7637)),
    inference(clausify,[status(thm)],[f_1416_2]) ).

fof(f_1417_1,plain,
    ! [P,Q,R] : hAPP_n95946796l_bool(hAPP_f1677329295l_bool(hAPP_f1611569977l_bool(cOMBB_731867268ol_nat,P),Q),R) = hAPP_o1968908095l_bool(P,hAPP_n546249108on_val(Q,R)),
    inference(fof_nnf,[status(thm)],[help_COMBB_1_1_COMBB_000tc__Option__Ooption_Itc__prod_Itc__List__Olist_Itc__Stri]) ).

fof(f_1417_2,plain,
    ! [U_7642,U_7641,U_7640] : hAPP_n95946796l_bool(hAPP_f1677329295l_bool(hAPP_f1611569977l_bool(cOMBB_731867268ol_nat,U_7642),U_7641),U_7640) = hAPP_o1968908095l_bool(U_7642,hAPP_n546249108on_val(U_7641,U_7640)),
    inference(variable_rename,[status(thm)],[f_1417_1]) ).

cnf(f_1417_3,plain,
    hAPP_n95946796l_bool(hAPP_f1677329295l_bool(hAPP_f1611569977l_bool(cOMBB_731867268ol_nat,U_7642),U_7641),U_7640) = hAPP_o1968908095l_bool(U_7642,hAPP_n546249108on_val(U_7641,U_7640)),
    inference(clausify,[status(thm)],[f_1417_2]) ).

fof(f_1418_1,plain,
    ! [P,Q,R] : hAPP_f1175813647l_bool(hAPP_f555424277l_bool(hAPP_f1734879897l_bool(cOMBB_1522540928on_val,P),Q),R) = hAPP_f1074020887l_bool(P,hAPP_f1175813647l_bool(Q,R)),
    inference(fof_nnf,[status(thm)],[help_COMBB_1_1_COMBB_000tc__fun_Itc__fun_Itc__List__Olist_Itc__String__Ochar_J_M]) ).

fof(f_1418_2,plain,
    ! [U_7645,U_7644,U_7643] : hAPP_f1175813647l_bool(hAPP_f555424277l_bool(hAPP_f1734879897l_bool(cOMBB_1522540928on_val,U_7645),U_7644),U_7643) = hAPP_f1074020887l_bool(U_7645,hAPP_f1175813647l_bool(U_7644,U_7643)),
    inference(variable_rename,[status(thm)],[f_1418_1]) ).

cnf(f_1418_3,plain,
    hAPP_f1175813647l_bool(hAPP_f555424277l_bool(hAPP_f1734879897l_bool(cOMBB_1522540928on_val,U_7645),U_7644),U_7643) = hAPP_f1074020887l_bool(U_7645,hAPP_f1175813647l_bool(U_7644,U_7643)),
    inference(clausify,[status(thm)],[f_1418_2]) ).

fof(f_1419_1,plain,
    ! [P,Q,R] : hAPP_f1175813647l_bool(cOMBS_570216337l_bool(P,Q),R) = hAPP_f1074020887l_bool(hAPP_f1492320500l_bool(P,R),hAPP_f1175813647l_bool(Q,R)),
    inference(fof_nnf,[status(thm)],[help_COMBS_1_1_COMBS_000tc__fun_Itc__Nat__Onat_Mtc__Option__Ooption_Itc__prod_It]) ).

fof(f_1419_2,plain,
    ! [U_7648,U_7647,U_7646] : hAPP_f1175813647l_bool(cOMBS_570216337l_bool(U_7648,U_7647),U_7646) = hAPP_f1074020887l_bool(hAPP_f1492320500l_bool(U_7648,U_7646),hAPP_f1175813647l_bool(U_7647,U_7646)),
    inference(variable_rename,[status(thm)],[f_1419_1]) ).

cnf(f_1419_3,plain,
    hAPP_f1175813647l_bool(cOMBS_570216337l_bool(U_7648,U_7647),U_7646) = hAPP_f1074020887l_bool(hAPP_f1492320500l_bool(U_7648,U_7646),hAPP_f1175813647l_bool(U_7647,U_7646)),
    inference(clausify,[status(thm)],[f_1419_2]) ).

fof(f_1420_1,plain,
    ! [P,Q,R] : hAPP_f1033709212l_bool(hAPP_f33142364l_bool(hAPP_f510152537l_bool(cOMBC_1518234801l_bool,P),Q),R) = hAPP_f966411375l_bool(hAPP_f720086610l_bool(P,R),Q),
    inference(fof_nnf,[status(thm)],[help_COMBC_1_1_COMBC_000tc__fun_Itc__List__Olist_Itc__String__Ochar_J_Mtc__Optio_042]) ).

fof(f_1420_2,plain,
    ! [U_7651,U_7650,U_7649] : hAPP_f1033709212l_bool(hAPP_f33142364l_bool(hAPP_f510152537l_bool(cOMBC_1518234801l_bool,U_7651),U_7650),U_7649) = hAPP_f966411375l_bool(hAPP_f720086610l_bool(U_7651,U_7649),U_7650),
    inference(variable_rename,[status(thm)],[f_1420_1]) ).

cnf(f_1420_3,plain,
    hAPP_f1033709212l_bool(hAPP_f33142364l_bool(hAPP_f510152537l_bool(cOMBC_1518234801l_bool,U_7651),U_7650),U_7649) = hAPP_f966411375l_bool(hAPP_f720086610l_bool(U_7651,U_7649),U_7650),
    inference(clausify,[status(thm)],[f_1420_2]) ).

fof(f_1421_1,plain,
    ! [P,Q,R] : hAPP_l217977712r_bool(hAPP_f1044627221r_bool(hAPP_f308875635r_bool(cOMBC_1718404842r_bool,P),Q),R) = hAPP_f1874697593r_bool(hAPP_l1783480313r_bool(P,R),Q),
    inference(fof_nnf,[status(thm)],[help_COMBC_1_1_COMBC_000tc__List__Olist_Itc__List__Olist_Itc__String__Ochar_J_J__043]) ).

fof(f_1421_2,plain,
    ! [U_7654,U_7653,U_7652] : hAPP_l217977712r_bool(hAPP_f1044627221r_bool(hAPP_f308875635r_bool(cOMBC_1718404842r_bool,U_7654),U_7653),U_7652) = hAPP_f1874697593r_bool(hAPP_l1783480313r_bool(U_7654,U_7652),U_7653),
    inference(variable_rename,[status(thm)],[f_1421_1]) ).

cnf(f_1421_3,plain,
    hAPP_l217977712r_bool(hAPP_f1044627221r_bool(hAPP_f308875635r_bool(cOMBC_1718404842r_bool,U_7654),U_7653),U_7652) = hAPP_f1874697593r_bool(hAPP_l1783480313r_bool(U_7654,U_7652),U_7653),
    inference(clausify,[status(thm)],[f_1421_2]) ).

fof(f_1422_1,plain,
    ! [P,Q,R] : hAPP_l296209613r_bool(hAPP_f1449341487r_bool(hAPP_f1823921107r_bool(cOMBB_308691073st_val,P),Q),R) = hAPP_f388097003r_bool(P,hAPP_l1842007287l_bool(Q,R)),
    inference(fof_nnf,[status(thm)],[help_COMBB_1_1_COMBB_000tc__fun_Itc__Expr__Oexp_Itc__List__Olist_Itc__String__Oc_044]) ).

fof(f_1422_2,plain,
    ! [U_7657,U_7656,U_7655] : hAPP_l296209613r_bool(hAPP_f1449341487r_bool(hAPP_f1823921107r_bool(cOMBB_308691073st_val,U_7657),U_7656),U_7655) = hAPP_f388097003r_bool(U_7657,hAPP_l1842007287l_bool(U_7656,U_7655)),
    inference(variable_rename,[status(thm)],[f_1422_1]) ).

cnf(f_1422_3,plain,
    hAPP_l296209613r_bool(hAPP_f1449341487r_bool(hAPP_f1823921107r_bool(cOMBB_308691073st_val,U_7657),U_7656),U_7655) = hAPP_f388097003r_bool(U_7657,hAPP_l1842007287l_bool(U_7656,U_7655)),
    inference(clausify,[status(thm)],[f_1422_2]) ).

fof(f_1423_1,plain,
    ! [P,Q,R] : hAPP_P1187139874r_bool(hAPP_f279818502r_bool(hAPP_f1419180947r_bool(cOMBC_390659185l_bool,P),Q),R) = hAPP_f483496539l_bool(hAPP_P1383068750l_bool(P,R),Q),
    inference(fof_nnf,[status(thm)],[help_COMBC_1_1_COMBC_000tc__prod_Itc__List__Olist_Itc__Type__Oty_J_Mtc__prod_Itc_045]) ).

fof(f_1423_2,plain,
    ! [U_7660,U_7659,U_7658] : hAPP_P1187139874r_bool(hAPP_f279818502r_bool(hAPP_f1419180947r_bool(cOMBC_390659185l_bool,U_7660),U_7659),U_7658) = hAPP_f483496539l_bool(hAPP_P1383068750l_bool(U_7660,U_7658),U_7659),
    inference(variable_rename,[status(thm)],[f_1423_1]) ).

cnf(f_1423_3,plain,
    hAPP_P1187139874r_bool(hAPP_f279818502r_bool(hAPP_f1419180947r_bool(cOMBC_390659185l_bool,U_7660),U_7659),U_7658) = hAPP_f483496539l_bool(hAPP_P1383068750l_bool(U_7660,U_7658),U_7659),
    inference(clausify,[status(thm)],[f_1423_2]) ).

fof(f_1424_1,plain,
    ! [P,Q,R] : hAPP_l551544901l_bool(hAPP_f165071409l_bool(hAPP_f1174637065l_bool(cOMBB_33167485t_char,P),Q),R) = hAPP_f901718717l_bool(P,hAPP_l796364813t_char(Q,R)),
    inference(fof_nnf,[status(thm)],[help_COMBB_1_1_COMBB_000tc__fun_Itc__Expr__Oexp_Itc__List__Olist_Itc__String__Oc_046]) ).

fof(f_1424_2,plain,
    ! [U_7663,U_7662,U_7661] : hAPP_l551544901l_bool(hAPP_f165071409l_bool(hAPP_f1174637065l_bool(cOMBB_33167485t_char,U_7663),U_7662),U_7661) = hAPP_f901718717l_bool(U_7663,hAPP_l796364813t_char(U_7662,U_7661)),
    inference(variable_rename,[status(thm)],[f_1424_1]) ).

cnf(f_1424_3,plain,
    hAPP_l551544901l_bool(hAPP_f165071409l_bool(hAPP_f1174637065l_bool(cOMBB_33167485t_char,U_7663),U_7662),U_7661) = hAPP_f901718717l_bool(U_7663,hAPP_l796364813t_char(U_7662,U_7661)),
    inference(clausify,[status(thm)],[f_1424_2]) ).

fof(f_1425_1,plain,
    ! [P,Q,R] : hAPP_P1680401186r_bool(cOMBS_635570165l_bool(P,Q),R) = hAPP_bool_bool(hAPP_P1552072218l_bool(P,R),hAPP_P1680401186r_bool(Q,R)),
    inference(fof_nnf,[status(thm)],[help_COMBS_1_1_COMBS_000tc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__prod_047]) ).

fof(f_1425_2,plain,
    ! [U_7666,U_7665,U_7664] : hAPP_P1680401186r_bool(cOMBS_635570165l_bool(U_7666,U_7665),U_7664) = hAPP_bool_bool(hAPP_P1552072218l_bool(U_7666,U_7664),hAPP_P1680401186r_bool(U_7665,U_7664)),
    inference(variable_rename,[status(thm)],[f_1425_1]) ).

cnf(f_1425_3,plain,
    hAPP_P1680401186r_bool(cOMBS_635570165l_bool(U_7666,U_7665),U_7664) = hAPP_bool_bool(hAPP_P1552072218l_bool(U_7666,U_7664),hAPP_P1680401186r_bool(U_7665,U_7664)),
    inference(clausify,[status(thm)],[f_1425_2]) ).

fof(f_1426_1,plain,
    ! [P,Q,R] : hAPP_P1552072218l_bool(hAPP_f561246575l_bool(hAPP_f321462169l_bool(cOMBB_808210516t_char,P),Q),R) = hAPP_b589554111l_bool(P,hAPP_P1680401186r_bool(Q,R)),
    inference(fof_nnf,[status(thm)],[help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Oboo_048]) ).

fof(f_1426_2,plain,
    ! [U_7669,U_7668,U_7667] : hAPP_P1552072218l_bool(hAPP_f561246575l_bool(hAPP_f321462169l_bool(cOMBB_808210516t_char,U_7669),U_7668),U_7667) = hAPP_b589554111l_bool(U_7669,hAPP_P1680401186r_bool(U_7668,U_7667)),
    inference(variable_rename,[status(thm)],[f_1426_1]) ).

cnf(f_1426_3,plain,
    hAPP_P1552072218l_bool(hAPP_f561246575l_bool(hAPP_f321462169l_bool(cOMBB_808210516t_char,U_7669),U_7668),U_7667) = hAPP_b589554111l_bool(U_7669,hAPP_P1680401186r_bool(U_7668,U_7667)),
    inference(clausify,[status(thm)],[f_1426_2]) ).

fof(f_1427_1,plain,
    ! [P,Q,R] : hAPP_f1492320500l_bool(hAPP_f1523875321l_bool(hAPP_f592397849l_bool(cOMBB_1718333400on_val,P),Q),R) = hAPP_f1863694447l_bool(P,hAPP_f1145256474l_bool(Q,R)),
    inference(fof_nnf,[status(thm)],[help_COMBB_1_1_COMBB_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Obool_J_000tc__fun_Itc]) ).

fof(f_1427_2,plain,
    ! [U_7672,U_7671,U_7670] : hAPP_f1492320500l_bool(hAPP_f1523875321l_bool(hAPP_f592397849l_bool(cOMBB_1718333400on_val,U_7672),U_7671),U_7670) = hAPP_f1863694447l_bool(U_7672,hAPP_f1145256474l_bool(U_7671,U_7670)),
    inference(variable_rename,[status(thm)],[f_1427_1]) ).

cnf(f_1427_3,plain,
    hAPP_f1492320500l_bool(hAPP_f1523875321l_bool(hAPP_f592397849l_bool(cOMBB_1718333400on_val,U_7672),U_7671),U_7670) = hAPP_f1863694447l_bool(U_7672,hAPP_f1145256474l_bool(U_7671,U_7670)),
    inference(clausify,[status(thm)],[f_1427_2]) ).

fof(f_1428_1,plain,
    ! [P,Q,R] : hAPP_l165010689r_bool(hAPP_f1209019955r_bool(hAPP_f521496323r_bool(cOMBC_654453230r_bool,P),Q),R) = hAPP_f279818502r_bool(hAPP_l2053770731r_bool(P,R),Q),
    inference(fof_nnf,[status(thm)],[help_COMBC_1_1_COMBC_000tc__List__Olist_Itc__String__Ochar_J_000tc__fun_Itc__pro_049]) ).

fof(f_1428_2,plain,
    ! [U_7675,U_7674,U_7673] : hAPP_l165010689r_bool(hAPP_f1209019955r_bool(hAPP_f521496323r_bool(cOMBC_654453230r_bool,U_7675),U_7674),U_7673) = hAPP_f279818502r_bool(hAPP_l2053770731r_bool(U_7675,U_7673),U_7674),
    inference(variable_rename,[status(thm)],[f_1428_1]) ).

cnf(f_1428_3,plain,
    hAPP_l165010689r_bool(hAPP_f1209019955r_bool(hAPP_f521496323r_bool(cOMBC_654453230r_bool,U_7675),U_7674),U_7673) = hAPP_f279818502r_bool(hAPP_l2053770731r_bool(U_7675,U_7673),U_7674),
    inference(clausify,[status(thm)],[f_1428_2]) ).

fof(f_1429_1,plain,
    ! [P,Q,R] : hAPP_P1384137393r_bool(hAPP_f1853572245r_bool(hAPP_f1933376467r_bool(cOMBC_36589090l_bool,P),Q),R) = hAPP_f483496539l_bool(hAPP_P7095645l_bool(P,R),Q),
    inference(fof_nnf,[status(thm)],[help_COMBC_1_1_COMBC_000tc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__prod]) ).

fof(f_1429_2,plain,
    ! [U_7678,U_7677,U_7676] : hAPP_P1384137393r_bool(hAPP_f1853572245r_bool(hAPP_f1933376467r_bool(cOMBC_36589090l_bool,U_7678),U_7677),U_7676) = hAPP_f483496539l_bool(hAPP_P7095645l_bool(U_7678,U_7676),U_7677),
    inference(variable_rename,[status(thm)],[f_1429_1]) ).

cnf(f_1429_3,plain,
    hAPP_P1384137393r_bool(hAPP_f1853572245r_bool(hAPP_f1933376467r_bool(cOMBC_36589090l_bool,U_7678),U_7677),U_7676) = hAPP_f483496539l_bool(hAPP_P7095645l_bool(U_7678,U_7676),U_7677),
    inference(clausify,[status(thm)],[f_1429_2]) ).

fof(f_1430_1,plain,
    ! [P,Q,R] : hAPP_l753659065r_bool(hAPP_f2059406941r_bool(hAPP_f108089737r_bool(cOMBB_2143526097t_char,P),Q),R) = hAPP_f1766231913r_bool(P,hAPP_l551544901l_bool(Q,R)),
    inference(fof_nnf,[status(thm)],[help_COMBB_1_1_COMBB_000tc__fun_Itc__Expr__Oexp_Itc__List__Olist_Itc__String__Oc_050]) ).

fof(f_1430_2,plain,
    ! [U_7681,U_7680,U_7679] : hAPP_l753659065r_bool(hAPP_f2059406941r_bool(hAPP_f108089737r_bool(cOMBB_2143526097t_char,U_7681),U_7680),U_7679) = hAPP_f1766231913r_bool(U_7681,hAPP_l551544901l_bool(U_7680,U_7679)),
    inference(variable_rename,[status(thm)],[f_1430_1]) ).

cnf(f_1430_3,plain,
    hAPP_l753659065r_bool(hAPP_f2059406941r_bool(hAPP_f108089737r_bool(cOMBB_2143526097t_char,U_7681),U_7680),U_7679) = hAPP_f1766231913r_bool(U_7681,hAPP_l551544901l_bool(U_7680,U_7679)),
    inference(clausify,[status(thm)],[f_1430_2]) ).

fof(f_1431_1,plain,
    ! [P,Q,R] : hAPP_l2000496933ion_ty(hAPP_f802560783ion_ty(hAPP_f7643013ion_ty(cOMBB_864319000t_char,P),Q),R) = hAPP_f2110071953ion_ty(P,hAPP_l1786340417on_val(Q,R)),
    inference(fof_nnf,[status(thm)],[help_COMBB_1_1_COMBB_000tc__fun_Itc__fun_Itc__prod_Itc__List__Olist_Itc__String_]) ).

fof(f_1431_2,plain,
    ! [U_7684,U_7683,U_7682] : hAPP_l2000496933ion_ty(hAPP_f802560783ion_ty(hAPP_f7643013ion_ty(cOMBB_864319000t_char,U_7684),U_7683),U_7682) = hAPP_f2110071953ion_ty(U_7684,hAPP_l1786340417on_val(U_7683,U_7682)),
    inference(variable_rename,[status(thm)],[f_1431_1]) ).

cnf(f_1431_3,plain,
    hAPP_l2000496933ion_ty(hAPP_f802560783ion_ty(hAPP_f7643013ion_ty(cOMBB_864319000t_char,U_7684),U_7683),U_7682) = hAPP_f2110071953ion_ty(U_7684,hAPP_l1786340417on_val(U_7683,U_7682)),
    inference(clausify,[status(thm)],[f_1431_2]) ).

fof(f_1432_1,plain,
    ! [P,Q,R] : hAPP_f749178132l_bool(hAPP_f1099622285l_bool(hAPP_f919000597l_bool(cOMBB_1153773871on_val,P),Q),R) = hAPP_P1217996045l_bool(P,hAPP_f900686428on_val(Q,R)),
    inference(fof_nnf,[status(thm)],[help_COMBB_1_1_COMBB_000tc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__fun__051]) ).

fof(f_1432_2,plain,
    ! [U_7687,U_7686,U_7685] : hAPP_f749178132l_bool(hAPP_f1099622285l_bool(hAPP_f919000597l_bool(cOMBB_1153773871on_val,U_7687),U_7686),U_7685) = hAPP_P1217996045l_bool(U_7687,hAPP_f900686428on_val(U_7686,U_7685)),
    inference(variable_rename,[status(thm)],[f_1432_1]) ).

cnf(f_1432_3,plain,
    hAPP_f749178132l_bool(hAPP_f1099622285l_bool(hAPP_f919000597l_bool(cOMBB_1153773871on_val,U_7687),U_7686),U_7685) = hAPP_P1217996045l_bool(U_7687,hAPP_f900686428on_val(U_7686,U_7685)),
    inference(clausify,[status(thm)],[f_1432_2]) ).

fof(f_1433_1,plain,
    ! [P,Q,R] : hAPP_l1117138611l_bool(hAPP_f2047757465l_bool(hAPP_f466945179l_bool(cOMBB_68065882ist_ty,P),Q),R) = hAPP_f921434893l_bool(P,hAPP_l14371579t_char(Q,R)),
    inference(fof_nnf,[status(thm)],[help_COMBB_1_1_COMBB_000tc__fun_Itc__prod_Itc__List__Olist_Itc__Value__Oval_J_Mt]) ).

fof(f_1433_2,plain,
    ! [U_7690,U_7689,U_7688] : hAPP_l1117138611l_bool(hAPP_f2047757465l_bool(hAPP_f466945179l_bool(cOMBB_68065882ist_ty,U_7690),U_7689),U_7688) = hAPP_f921434893l_bool(U_7690,hAPP_l14371579t_char(U_7689,U_7688)),
    inference(variable_rename,[status(thm)],[f_1433_1]) ).

cnf(f_1433_3,plain,
    hAPP_l1117138611l_bool(hAPP_f2047757465l_bool(hAPP_f466945179l_bool(cOMBB_68065882ist_ty,U_7690),U_7689),U_7688) = hAPP_f921434893l_bool(U_7690,hAPP_l14371579t_char(U_7689,U_7688)),
    inference(clausify,[status(thm)],[f_1433_2]) ).

fof(f_1434_1,plain,
    ! [P,Q,R] : hAPP_P1562529797l_bool(hAPP_f1233028029l_bool(hAPP_f1715733055l_bool(cOMBB_123628846t_char,P),Q),R) = hAPP_P1472618637l_bool(P,hAPP_P767818445t_char(Q,R)),
    inference(fof_nnf,[status(thm)],[help_COMBB_1_1_COMBB_000tc__prod_Itc__List__Olist_Itc__List__Olist_Itc__String___052]) ).

fof(f_1434_2,plain,
    ! [U_7693,U_7692,U_7691] : hAPP_P1562529797l_bool(hAPP_f1233028029l_bool(hAPP_f1715733055l_bool(cOMBB_123628846t_char,U_7693),U_7692),U_7691) = hAPP_P1472618637l_bool(U_7693,hAPP_P767818445t_char(U_7692,U_7691)),
    inference(variable_rename,[status(thm)],[f_1434_1]) ).

cnf(f_1434_3,plain,
    hAPP_P1562529797l_bool(hAPP_f1233028029l_bool(hAPP_f1715733055l_bool(cOMBB_123628846t_char,U_7693),U_7692),U_7691) = hAPP_P1472618637l_bool(U_7693,hAPP_P767818445t_char(U_7692,U_7691)),
    inference(clausify,[status(thm)],[f_1434_2]) ).

fof(f_1435_1,plain,
    ! [P,Q,R] : hAPP_f1617787571l_bool(hAPP_f857351829l_bool(hAPP_f348318673l_bool(cOMBB_1518282696on_val,P),Q),R) = hAPP_f181262431l_bool(P,hAPP_f1213370163y_bool(Q,R)),
    inference(fof_nnf,[status(thm)],[help_COMBB_1_1_COMBB_000tc__fun_Itc__fun_Itc__List__Olist_Itc__String__Ochar_J_M_053]) ).

fof(f_1435_2,plain,
    ! [U_7696,U_7695,U_7694] : hAPP_f1617787571l_bool(hAPP_f857351829l_bool(hAPP_f348318673l_bool(cOMBB_1518282696on_val,U_7696),U_7695),U_7694) = hAPP_f181262431l_bool(U_7696,hAPP_f1213370163y_bool(U_7695,U_7694)),
    inference(variable_rename,[status(thm)],[f_1435_1]) ).

cnf(f_1435_3,plain,
    hAPP_f1617787571l_bool(hAPP_f857351829l_bool(hAPP_f348318673l_bool(cOMBB_1518282696on_val,U_7696),U_7695),U_7694) = hAPP_f181262431l_bool(U_7696,hAPP_f1213370163y_bool(U_7695,U_7694)),
    inference(clausify,[status(thm)],[f_1435_2]) ).

fof(f_1436_1,plain,
    ! [P,Q,R] : hAPP_l96108383r_bool(hAPP_f1608277885r_bool(hAPP_f1134248971r_bool(cOMBB_338473166ist_ty,P),Q),R) = hAPP_f225832321r_bool(P,hAPP_l1117138611l_bool(Q,R)),
    inference(fof_nnf,[status(thm)],[help_COMBB_1_1_COMBB_000tc__fun_Itc__prod_Itc__List__Olist_Itc__Value__Oval_J_Mt_054]) ).

fof(f_1436_2,plain,
    ! [U_7699,U_7698,U_7697] : hAPP_l96108383r_bool(hAPP_f1608277885r_bool(hAPP_f1134248971r_bool(cOMBB_338473166ist_ty,U_7699),U_7698),U_7697) = hAPP_f225832321r_bool(U_7699,hAPP_l1117138611l_bool(U_7698,U_7697)),
    inference(variable_rename,[status(thm)],[f_1436_1]) ).

cnf(f_1436_3,plain,
    hAPP_l96108383r_bool(hAPP_f1608277885r_bool(hAPP_f1134248971r_bool(cOMBB_338473166ist_ty,U_7699),U_7698),U_7697) = hAPP_f225832321r_bool(U_7699,hAPP_l1117138611l_bool(U_7698,U_7697)),
    inference(clausify,[status(thm)],[f_1436_2]) ).

fof(f_1437_1,plain,
    ! [P,Q,R] : hAPP_l902158906r_bool(hAPP_f605643693r_bool(hAPP_f841257045r_bool(cOMBC_1407716098l_bool,P),Q),R) = hAPP_f1161798306l_bool(hAPP_l213519975l_bool(P,R),Q),
    inference(fof_nnf,[status(thm)],[help_COMBC_1_1_COMBC_000tc__List__Olist_Itc__prod_Itc__List__Olist_Itc__String__]) ).

fof(f_1437_2,plain,
    ! [U_7702,U_7701,U_7700] : hAPP_l902158906r_bool(hAPP_f605643693r_bool(hAPP_f841257045r_bool(cOMBC_1407716098l_bool,U_7702),U_7701),U_7700) = hAPP_f1161798306l_bool(hAPP_l213519975l_bool(U_7702,U_7700),U_7701),
    inference(variable_rename,[status(thm)],[f_1437_1]) ).

cnf(f_1437_3,plain,
    hAPP_l902158906r_bool(hAPP_f605643693r_bool(hAPP_f841257045r_bool(cOMBC_1407716098l_bool,U_7702),U_7701),U_7700) = hAPP_f1161798306l_bool(hAPP_l213519975l_bool(U_7702,U_7700),U_7701),
    inference(clausify,[status(thm)],[f_1437_2]) ).

fof(f_1438_1,plain,
    ! [P,Q,R] : hAPP_f1175813647l_bool(hAPP_f47713631l_bool(hAPP_f77033475l_bool(cOMBC_1317565126l_bool,P),Q),R) = hAPP_f33142364l_bool(hAPP_f893576377l_bool(P,R),Q),
    inference(fof_nnf,[status(thm)],[help_COMBC_1_1_COMBC_000tc__fun_Itc__Nat__Onat_Mtc__Option__Ooption_Itc__prod_It_055]) ).

fof(f_1438_2,plain,
    ! [U_7705,U_7704,U_7703] : hAPP_f1175813647l_bool(hAPP_f47713631l_bool(hAPP_f77033475l_bool(cOMBC_1317565126l_bool,U_7705),U_7704),U_7703) = hAPP_f33142364l_bool(hAPP_f893576377l_bool(U_7705,U_7703),U_7704),
    inference(variable_rename,[status(thm)],[f_1438_1]) ).

cnf(f_1438_3,plain,
    hAPP_f1175813647l_bool(hAPP_f47713631l_bool(hAPP_f77033475l_bool(cOMBC_1317565126l_bool,U_7705),U_7704),U_7703) = hAPP_f33142364l_bool(hAPP_f893576377l_bool(U_7705,U_7703),U_7704),
    inference(clausify,[status(thm)],[f_1438_2]) ).

fof(f_1439_1,plain,
    ! [P,Q,R] : hAPP_P1383068750l_bool(hAPP_f1239832973l_bool(hAPP_f1937828171l_bool(cOMBB_1681501894t_char,P),Q),R) = hAPP_P7095645l_bool(P,hAPP_P242904598t_char(Q,R)),
    inference(fof_nnf,[status(thm)],[help_COMBB_1_1_COMBB_000tc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__prod]) ).

fof(f_1439_2,plain,
    ! [U_7708,U_7707,U_7706] : hAPP_P1383068750l_bool(hAPP_f1239832973l_bool(hAPP_f1937828171l_bool(cOMBB_1681501894t_char,U_7708),U_7707),U_7706) = hAPP_P7095645l_bool(U_7708,hAPP_P242904598t_char(U_7707,U_7706)),
    inference(variable_rename,[status(thm)],[f_1439_1]) ).

cnf(f_1439_3,plain,
    hAPP_P1383068750l_bool(hAPP_f1239832973l_bool(hAPP_f1937828171l_bool(cOMBB_1681501894t_char,U_7708),U_7707),U_7706) = hAPP_P7095645l_bool(U_7708,hAPP_P242904598t_char(U_7707,U_7706)),
    inference(clausify,[status(thm)],[f_1439_2]) ).

fof(f_1440_1,plain,
    ! [P,Q,R] : hAPP_l24694616r_bool(hAPP_f306469557r_bool(hAPP_f197435839r_bool(cOMBC_886773442r_bool,P),Q),R) = hAPP_f605643693r_bool(hAPP_l1129005983r_bool(P,R),Q),
    inference(fof_nnf,[status(thm)],[help_COMBC_1_1_COMBC_000tc__List__Olist_Itc__prod_Itc__List__Olist_Itc__String___056]) ).

fof(f_1440_2,plain,
    ! [U_7711,U_7710,U_7709] : hAPP_l24694616r_bool(hAPP_f306469557r_bool(hAPP_f197435839r_bool(cOMBC_886773442r_bool,U_7711),U_7710),U_7709) = hAPP_f605643693r_bool(hAPP_l1129005983r_bool(U_7711,U_7709),U_7710),
    inference(variable_rename,[status(thm)],[f_1440_1]) ).

cnf(f_1440_3,plain,
    hAPP_l24694616r_bool(hAPP_f306469557r_bool(hAPP_f197435839r_bool(cOMBC_886773442r_bool,U_7711),U_7710),U_7709) = hAPP_f605643693r_bool(hAPP_l1129005983r_bool(U_7711,U_7709),U_7710),
    inference(clausify,[status(thm)],[f_1440_2]) ).

fof(f_1441_1,plain,
    ! [P,Q,R] : hAPP_l2111308793l_bool(hAPP_f1370205989l_bool(hAPP_f1406462375l_bool(cOMBB_109816436t_char,P),Q),R) = hAPP_f1099622285l_bool(P,hAPP_l1786340417on_val(Q,R)),
    inference(fof_nnf,[status(thm)],[help_COMBB_1_1_COMBB_000tc__fun_Itc__fun_Itc__prod_Itc__List__Olist_Itc__String__057]) ).

fof(f_1441_2,plain,
    ! [U_7714,U_7713,U_7712] : hAPP_l2111308793l_bool(hAPP_f1370205989l_bool(hAPP_f1406462375l_bool(cOMBB_109816436t_char,U_7714),U_7713),U_7712) = hAPP_f1099622285l_bool(U_7714,hAPP_l1786340417on_val(U_7713,U_7712)),
    inference(variable_rename,[status(thm)],[f_1441_1]) ).

cnf(f_1441_3,plain,
    hAPP_l2111308793l_bool(hAPP_f1370205989l_bool(hAPP_f1406462375l_bool(cOMBB_109816436t_char,U_7714),U_7713),U_7712) = hAPP_f1099622285l_bool(U_7714,hAPP_l1786340417on_val(U_7713,U_7712)),
    inference(clausify,[status(thm)],[f_1441_2]) ).

fof(f_1442_1,plain,
    ! [P,Q,R] : hAPP_P159683425l_bool(hAPP_f1175362209l_bool(hAPP_f101237475l_bool(cOMBC_1585774710l_bool,P),Q),R) = hAPP_f91506671l_bool(hAPP_P1609485901l_bool(P,R),Q),
    inference(fof_nnf,[status(thm)],[help_COMBC_1_1_COMBC_000tc__prod_Itc__fun_Itc__Nat__Onat_Mtc__Option__Ooption_It]) ).

fof(f_1442_2,plain,
    ! [U_7717,U_7716,U_7715] : hAPP_P159683425l_bool(hAPP_f1175362209l_bool(hAPP_f101237475l_bool(cOMBC_1585774710l_bool,U_7717),U_7716),U_7715) = hAPP_f91506671l_bool(hAPP_P1609485901l_bool(U_7717,U_7715),U_7716),
    inference(variable_rename,[status(thm)],[f_1442_1]) ).

cnf(f_1442_3,plain,
    hAPP_P159683425l_bool(hAPP_f1175362209l_bool(hAPP_f101237475l_bool(cOMBC_1585774710l_bool,U_7717),U_7716),U_7715) = hAPP_f91506671l_bool(hAPP_P1609485901l_bool(U_7717,U_7715),U_7716),
    inference(clausify,[status(thm)],[f_1442_2]) ).

fof(f_1443_1,plain,
    ! [P,Q,R] : hAPP_f1175813647l_bool(hAPP_f1363667773l_bool(hAPP_f1050935001l_bool(cOMBB_1153617344on_val,P),Q),R) = hAPP_f1008932791l_bool(P,hAPP_f1849790461on_val(Q,R)),
    inference(fof_nnf,[status(thm)],[help_COMBB_1_1_COMBB_000tc__fun_Itc__fun_Itc__List__Olist_Itc__String__Ochar_J_M_058]) ).

fof(f_1443_2,plain,
    ! [U_7720,U_7719,U_7718] : hAPP_f1175813647l_bool(hAPP_f1363667773l_bool(hAPP_f1050935001l_bool(cOMBB_1153617344on_val,U_7720),U_7719),U_7718) = hAPP_f1008932791l_bool(U_7720,hAPP_f1849790461on_val(U_7719,U_7718)),
    inference(variable_rename,[status(thm)],[f_1443_1]) ).

cnf(f_1443_3,plain,
    hAPP_f1175813647l_bool(hAPP_f1363667773l_bool(hAPP_f1050935001l_bool(cOMBB_1153617344on_val,U_7720),U_7719),U_7718) = hAPP_f1008932791l_bool(U_7720,hAPP_f1849790461on_val(U_7719,U_7718)),
    inference(clausify,[status(thm)],[f_1443_2]) ).

fof(f_1444_1,plain,
    ! [P,Q,R] : hAPP_P159683425l_bool(hAPP_f1526206996l_bool(hAPP_f1467537159l_bool(cOMBC_2141828763l_bool,P),Q),R) = hAPP_f837795298l_bool(hAPP_P594889876l_bool(P,R),Q),
    inference(fof_nnf,[status(thm)],[help_COMBC_1_1_COMBC_000tc__prod_Itc__fun_Itc__Nat__Onat_Mtc__Option__Ooption_It_059]) ).

fof(f_1444_2,plain,
    ! [U_7723,U_7722,U_7721] : hAPP_P159683425l_bool(hAPP_f1526206996l_bool(hAPP_f1467537159l_bool(cOMBC_2141828763l_bool,U_7723),U_7722),U_7721) = hAPP_f837795298l_bool(hAPP_P594889876l_bool(U_7723,U_7721),U_7722),
    inference(variable_rename,[status(thm)],[f_1444_1]) ).

cnf(f_1444_3,plain,
    hAPP_P159683425l_bool(hAPP_f1526206996l_bool(hAPP_f1467537159l_bool(cOMBC_2141828763l_bool,U_7723),U_7722),U_7721) = hAPP_f837795298l_bool(hAPP_P594889876l_bool(U_7723,U_7721),U_7722),
    inference(clausify,[status(thm)],[f_1444_2]) ).

fof(f_1445_1,plain,
    ! [P,Q,R] : hAPP_P828904212r_bool(hAPP_f764724814r_bool(hAPP_f1410576713r_bool(cOMBC_516637475l_bool,P),Q),R) = hAPP_f2050077417l_bool(hAPP_P1418247892l_bool(P,R),Q),
    inference(fof_nnf,[status(thm)],[help_COMBC_1_1_COMBC_000tc__prod_Itc__List__Olist_Itc__prod_Itc__List__Olist_Itc]) ).

fof(f_1445_2,plain,
    ! [U_7726,U_7725,U_7724] : hAPP_P828904212r_bool(hAPP_f764724814r_bool(hAPP_f1410576713r_bool(cOMBC_516637475l_bool,U_7726),U_7725),U_7724) = hAPP_f2050077417l_bool(hAPP_P1418247892l_bool(U_7726,U_7724),U_7725),
    inference(variable_rename,[status(thm)],[f_1445_1]) ).

cnf(f_1445_3,plain,
    hAPP_P828904212r_bool(hAPP_f764724814r_bool(hAPP_f1410576713r_bool(cOMBC_516637475l_bool,U_7726),U_7725),U_7724) = hAPP_f2050077417l_bool(hAPP_P1418247892l_bool(U_7726,U_7724),U_7725),
    inference(clausify,[status(thm)],[f_1445_2]) ).

fof(f_1446_1,plain,
    ! [P,Q,R] : hAPP_f720086610l_bool(hAPP_f292637069l_bool(hAPP_f1168269397l_bool(cOMBB_1293776864on_val,P),Q),R) = hAPP_P998768845l_bool(P,hAPP_f1727192346on_val(Q,R)),
    inference(fof_nnf,[status(thm)],[help_COMBB_1_1_COMBB_000tc__prod_Itc__fun_Itc__Nat__Onat_Mtc__Option__Ooption_It_060]) ).

fof(f_1446_2,plain,
    ! [U_7729,U_7728,U_7727] : hAPP_f720086610l_bool(hAPP_f292637069l_bool(hAPP_f1168269397l_bool(cOMBB_1293776864on_val,U_7729),U_7728),U_7727) = hAPP_P998768845l_bool(U_7729,hAPP_f1727192346on_val(U_7728,U_7727)),
    inference(variable_rename,[status(thm)],[f_1446_1]) ).

cnf(f_1446_3,plain,
    hAPP_f720086610l_bool(hAPP_f292637069l_bool(hAPP_f1168269397l_bool(cOMBB_1293776864on_val,U_7729),U_7728),U_7727) = hAPP_P998768845l_bool(U_7729,hAPP_f1727192346on_val(U_7728,U_7727)),
    inference(clausify,[status(thm)],[f_1446_2]) ).

fof(f_1447_1,plain,
    ! [P,Q,R] : hAPP_l1739862107l_bool(hAPP_f1094343359l_bool(hAPP_f876671127l_bool(cOMBB_1200577438t_char,P),Q),R) = hAPP_f1166017719l_bool(P,hAPP_l2111308793l_bool(Q,R)),
    inference(fof_nnf,[status(thm)],[help_COMBB_1_1_COMBB_000tc__fun_Itc__fun_Itc__prod_Itc__List__Olist_Itc__String__061]) ).

fof(f_1447_2,plain,
    ! [U_7732,U_7731,U_7730] : hAPP_l1739862107l_bool(hAPP_f1094343359l_bool(hAPP_f876671127l_bool(cOMBB_1200577438t_char,U_7732),U_7731),U_7730) = hAPP_f1166017719l_bool(U_7732,hAPP_l2111308793l_bool(U_7731,U_7730)),
    inference(variable_rename,[status(thm)],[f_1447_1]) ).

cnf(f_1447_3,plain,
    hAPP_l1739862107l_bool(hAPP_f1094343359l_bool(hAPP_f876671127l_bool(cOMBB_1200577438t_char,U_7732),U_7731),U_7730) = hAPP_f1166017719l_bool(U_7732,hAPP_l2111308793l_bool(U_7731,U_7730)),
    inference(clausify,[status(thm)],[f_1447_2]) ).

fof(f_1448_1,plain,
    ! [P,Q,R] : hAPP_e1833980889l_bool(hAPP_f989077673l_bool(hAPP_f40682957l_bool(cOMBC_562612496l_bool,P),Q),R) = hAPP_f1175362209l_bool(hAPP_e1705922617l_bool(P,R),Q),
    inference(fof_nnf,[status(thm)],[help_COMBC_1_1_COMBC_000tc__Expr__Oexp_Itc__List__Olist_Itc__String__Ochar_J_J_0_062]) ).

fof(f_1448_2,plain,
    ! [U_7735,U_7734,U_7733] : hAPP_e1833980889l_bool(hAPP_f989077673l_bool(hAPP_f40682957l_bool(cOMBC_562612496l_bool,U_7735),U_7734),U_7733) = hAPP_f1175362209l_bool(hAPP_e1705922617l_bool(U_7735,U_7733),U_7734),
    inference(variable_rename,[status(thm)],[f_1448_1]) ).

cnf(f_1448_3,plain,
    hAPP_e1833980889l_bool(hAPP_f989077673l_bool(hAPP_f40682957l_bool(cOMBC_562612496l_bool,U_7735),U_7734),U_7733) = hAPP_f1175362209l_bool(hAPP_e1705922617l_bool(U_7735,U_7733),U_7734),
    inference(clausify,[status(thm)],[f_1448_2]) ).

fof(f_1449_1,plain,
    ! [P,Q,R] : hAPP_P282169671l_bool(cOMBS_1319864284l_bool(P,Q),R) = hAPP_bool_bool(hAPP_P1402001845l_bool(P,R),hAPP_P282169671l_bool(Q,R)),
    inference(fof_nnf,[status(thm)],[help_COMBS_1_1_COMBS_000tc__prod_Itc__prod_Itc__Expr__Oexp_Itc__List__Olist_Itc_]) ).

fof(f_1449_2,plain,
    ! [U_7738,U_7737,U_7736] : hAPP_P282169671l_bool(cOMBS_1319864284l_bool(U_7738,U_7737),U_7736) = hAPP_bool_bool(hAPP_P1402001845l_bool(U_7738,U_7736),hAPP_P282169671l_bool(U_7737,U_7736)),
    inference(variable_rename,[status(thm)],[f_1449_1]) ).

cnf(f_1449_3,plain,
    hAPP_P282169671l_bool(cOMBS_1319864284l_bool(U_7738,U_7737),U_7736) = hAPP_bool_bool(hAPP_P1402001845l_bool(U_7738,U_7736),hAPP_P282169671l_bool(U_7737,U_7736)),
    inference(clausify,[status(thm)],[f_1449_2]) ).

fof(f_1450_1,plain,
    ! [P,Q,R] : hAPP_l1342015621r_bool(hAPP_f719350875r_bool(hAPP_f2133563379r_bool(cOMBC_1025440566r_bool,P),Q),R) = hAPP_f764724814r_bool(hAPP_l1988620845r_bool(P,R),Q),
    inference(fof_nnf,[status(thm)],[help_COMBC_1_1_COMBC_000tc__List__Olist_Itc__String__Ochar_J_000tc__fun_Itc__pro_063]) ).

fof(f_1450_2,plain,
    ! [U_7741,U_7740,U_7739] : hAPP_l1342015621r_bool(hAPP_f719350875r_bool(hAPP_f2133563379r_bool(cOMBC_1025440566r_bool,U_7741),U_7740),U_7739) = hAPP_f764724814r_bool(hAPP_l1988620845r_bool(U_7741,U_7739),U_7740),
    inference(variable_rename,[status(thm)],[f_1450_1]) ).

cnf(f_1450_3,plain,
    hAPP_l1342015621r_bool(hAPP_f719350875r_bool(hAPP_f2133563379r_bool(cOMBC_1025440566r_bool,U_7741),U_7740),U_7739) = hAPP_f764724814r_bool(hAPP_l1988620845r_bool(U_7741,U_7739),U_7740),
    inference(clausify,[status(thm)],[f_1450_2]) ).

fof(f_1451_1,plain,
    ! [P,Q,R] : hAPP_l1571522437l_bool(hAPP_f1136362289l_bool(hAPP_f1736484361l_bool(cOMBB_2042763133t_char,P),Q),R) = hAPP_f1233028029l_bool(P,hAPP_l1873467853t_char(Q,R)),
    inference(fof_nnf,[status(thm)],[help_COMBB_1_1_COMBB_000tc__fun_Itc__prod_Itc__List__Olist_Itc__Type__Oty_J_Mtc_]) ).

fof(f_1451_2,plain,
    ! [U_7744,U_7743,U_7742] : hAPP_l1571522437l_bool(hAPP_f1136362289l_bool(hAPP_f1736484361l_bool(cOMBB_2042763133t_char,U_7744),U_7743),U_7742) = hAPP_f1233028029l_bool(U_7744,hAPP_l1873467853t_char(U_7743,U_7742)),
    inference(variable_rename,[status(thm)],[f_1451_1]) ).

cnf(f_1451_3,plain,
    hAPP_l1571522437l_bool(hAPP_f1136362289l_bool(hAPP_f1736484361l_bool(cOMBB_2042763133t_char,U_7744),U_7743),U_7742) = hAPP_f1233028029l_bool(U_7744,hAPP_l1873467853t_char(U_7743,U_7742)),
    inference(clausify,[status(thm)],[f_1451_2]) ).

fof(f_1452_1,plain,
    ! [P,Q,R] : hAPP_P1402001845l_bool(hAPP_f379976829l_bool(hAPP_f606945057l_bool(cOMBB_705522285on_val,P),Q),R) = hAPP_b589554111l_bool(P,hAPP_P282169671l_bool(Q,R)),
    inference(fof_nnf,[status(thm)],[help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Oboo_064]) ).

fof(f_1452_2,plain,
    ! [U_7747,U_7746,U_7745] : hAPP_P1402001845l_bool(hAPP_f379976829l_bool(hAPP_f606945057l_bool(cOMBB_705522285on_val,U_7747),U_7746),U_7745) = hAPP_b589554111l_bool(U_7747,hAPP_P282169671l_bool(U_7746,U_7745)),
    inference(variable_rename,[status(thm)],[f_1452_1]) ).

cnf(f_1452_3,plain,
    hAPP_P1402001845l_bool(hAPP_f379976829l_bool(hAPP_f606945057l_bool(cOMBB_705522285on_val,U_7747),U_7746),U_7745) = hAPP_b589554111l_bool(U_7747,hAPP_P282169671l_bool(U_7746,U_7745)),
    inference(clausify,[status(thm)],[f_1452_2]) ).

fof(f_1453_1,plain,
    ! [P,Q,R] : hAPP_l146377954l_bool(hAPP_f844901525l_bool(hAPP_f348508809l_bool(cOMBC_622308798l_bool,P),Q),R) = hAPP_f1526206996l_bool(hAPP_l177734933l_bool(P,R),Q),
    inference(fof_nnf,[status(thm)],[help_COMBC_1_1_COMBC_000tc__List__Olist_Itc__Expr__Oexp_Itc__List__Olist_Itc__St]) ).

fof(f_1453_2,plain,
    ! [U_7750,U_7749,U_7748] : hAPP_l146377954l_bool(hAPP_f844901525l_bool(hAPP_f348508809l_bool(cOMBC_622308798l_bool,U_7750),U_7749),U_7748) = hAPP_f1526206996l_bool(hAPP_l177734933l_bool(U_7750,U_7748),U_7749),
    inference(variable_rename,[status(thm)],[f_1453_1]) ).

cnf(f_1453_3,plain,
    hAPP_l146377954l_bool(hAPP_f844901525l_bool(hAPP_f348508809l_bool(cOMBC_622308798l_bool,U_7750),U_7749),U_7748) = hAPP_f1526206996l_bool(hAPP_l177734933l_bool(U_7750,U_7748),U_7749),
    inference(clausify,[status(thm)],[f_1453_2]) ).

fof(f_1454_1,plain,
    ! [P,Q,R] : hAPP_P1333315679l_bool(cOMBS_1218320756l_bool(P,Q),R) = hAPP_bool_bool(hAPP_P895943837l_bool(P,R),hAPP_P1333315679l_bool(Q,R)),
    inference(fof_nnf,[status(thm)],[help_COMBS_1_1_COMBS_000tc__prod_Itc__prod_Itc__List__Olist_Itc__Expr__Oexp_Itc_]) ).

fof(f_1454_2,plain,
    ! [U_7753,U_7752,U_7751] : hAPP_P1333315679l_bool(cOMBS_1218320756l_bool(U_7753,U_7752),U_7751) = hAPP_bool_bool(hAPP_P895943837l_bool(U_7753,U_7751),hAPP_P1333315679l_bool(U_7752,U_7751)),
    inference(variable_rename,[status(thm)],[f_1454_1]) ).

cnf(f_1454_3,plain,
    hAPP_P1333315679l_bool(cOMBS_1218320756l_bool(U_7753,U_7752),U_7751) = hAPP_bool_bool(hAPP_P895943837l_bool(U_7753,U_7751),hAPP_P1333315679l_bool(U_7752,U_7751)),
    inference(clausify,[status(thm)],[f_1454_2]) ).

fof(f_1455_1,plain,
    ! [P,Q,R] : hAPP_P659547099r_bool(hAPP_f658521820r_bool(hAPP_f454222487r_bool(cOMBC_1338332465l_bool,P),Q),R) = hAPP_f515912112l_bool(hAPP_P780018708l_bool(P,R),Q),
    inference(fof_nnf,[status(thm)],[help_COMBC_1_1_COMBC_000tc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__prod_065]) ).

fof(f_1455_2,plain,
    ! [U_7756,U_7755,U_7754] : hAPP_P659547099r_bool(hAPP_f658521820r_bool(hAPP_f454222487r_bool(cOMBC_1338332465l_bool,U_7756),U_7755),U_7754) = hAPP_f515912112l_bool(hAPP_P780018708l_bool(U_7756,U_7754),U_7755),
    inference(variable_rename,[status(thm)],[f_1455_1]) ).

cnf(f_1455_3,plain,
    hAPP_P659547099r_bool(hAPP_f658521820r_bool(hAPP_f454222487r_bool(cOMBC_1338332465l_bool,U_7756),U_7755),U_7754) = hAPP_f515912112l_bool(hAPP_P780018708l_bool(U_7756,U_7754),U_7755),
    inference(clausify,[status(thm)],[f_1455_2]) ).

fof(f_1456_1,plain,
    ! [P,Q,R] : hAPP_P895943837l_bool(hAPP_f914702973l_bool(hAPP_f1600936353l_bool(cOMBB_1617503877on_val,P),Q),R) = hAPP_b589554111l_bool(P,hAPP_P1333315679l_bool(Q,R)),
    inference(fof_nnf,[status(thm)],[help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Oboo_066]) ).

fof(f_1456_2,plain,
    ! [U_7759,U_7758,U_7757] : hAPP_P895943837l_bool(hAPP_f914702973l_bool(hAPP_f1600936353l_bool(cOMBB_1617503877on_val,U_7759),U_7758),U_7757) = hAPP_b589554111l_bool(U_7759,hAPP_P1333315679l_bool(U_7758,U_7757)),
    inference(variable_rename,[status(thm)],[f_1456_1]) ).

cnf(f_1456_3,plain,
    hAPP_P895943837l_bool(hAPP_f914702973l_bool(hAPP_f1600936353l_bool(cOMBB_1617503877on_val,U_7759),U_7758),U_7757) = hAPP_b589554111l_bool(U_7759,hAPP_P1333315679l_bool(U_7758,U_7757)),
    inference(clausify,[status(thm)],[f_1456_2]) ).

fof(f_1457_1,plain,
    ! [P,Q,R] : hAPP_l1783480313r_bool(hAPP_f531187933r_bool(hAPP_f179418505r_bool(cOMBB_550632017t_char,P),Q),R) = hAPP_f1707979241r_bool(P,hAPP_l1571522437l_bool(Q,R)),
    inference(fof_nnf,[status(thm)],[help_COMBB_1_1_COMBB_000tc__fun_Itc__prod_Itc__List__Olist_Itc__Type__Oty_J_Mtc__067]) ).

fof(f_1457_2,plain,
    ! [U_7762,U_7761,U_7760] : hAPP_l1783480313r_bool(hAPP_f531187933r_bool(hAPP_f179418505r_bool(cOMBB_550632017t_char,U_7762),U_7761),U_7760) = hAPP_f1707979241r_bool(U_7762,hAPP_l1571522437l_bool(U_7761,U_7760)),
    inference(variable_rename,[status(thm)],[f_1457_1]) ).

cnf(f_1457_3,plain,
    hAPP_l1783480313r_bool(hAPP_f531187933r_bool(hAPP_f179418505r_bool(cOMBB_550632017t_char,U_7762),U_7761),U_7760) = hAPP_f1707979241r_bool(U_7762,hAPP_l1571522437l_bool(U_7761,U_7760)),
    inference(clausify,[status(thm)],[f_1457_2]) ).

fof(f_1458_1,plain,
    ! [P,Q,R] : hAPP_l2140727500r_bool(hAPP_f2025561243r_bool(hAPP_f1500560577r_bool(cOMBC_1784597444r_bool,P),Q),R) = hAPP_f658521820r_bool(hAPP_l923073979r_bool(P,R),Q),
    inference(fof_nnf,[status(thm)],[help_COMBC_1_1_COMBC_000tc__List__Olist_Itc__String__Ochar_J_000tc__fun_Itc__pro_068]) ).

fof(f_1458_2,plain,
    ! [U_7765,U_7764,U_7763] : hAPP_l2140727500r_bool(hAPP_f2025561243r_bool(hAPP_f1500560577r_bool(cOMBC_1784597444r_bool,U_7765),U_7764),U_7763) = hAPP_f658521820r_bool(hAPP_l923073979r_bool(U_7765,U_7763),U_7764),
    inference(variable_rename,[status(thm)],[f_1458_1]) ).

cnf(f_1458_3,plain,
    hAPP_l2140727500r_bool(hAPP_f2025561243r_bool(hAPP_f1500560577r_bool(cOMBC_1784597444r_bool,U_7765),U_7764),U_7763) = hAPP_f658521820r_bool(hAPP_l923073979r_bool(U_7765,U_7763),U_7764),
    inference(clausify,[status(thm)],[f_1458_2]) ).

fof(f_1459_1,plain,
    ! [P,Q,R] : hAPP_P1680401186r_bool(hAPP_f1666729379r_bool(hAPP_f1020753317r_bool(cOMBC_1297648632l_bool,P),Q),R) = hAPP_f515912112l_bool(hAPP_P205570445l_bool(P,R),Q),
    inference(fof_nnf,[status(thm)],[help_COMBC_1_1_COMBC_000tc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__prod_069]) ).

fof(f_1459_2,plain,
    ! [U_7768,U_7767,U_7766] : hAPP_P1680401186r_bool(hAPP_f1666729379r_bool(hAPP_f1020753317r_bool(cOMBC_1297648632l_bool,U_7768),U_7767),U_7766) = hAPP_f515912112l_bool(hAPP_P205570445l_bool(U_7768,U_7766),U_7767),
    inference(variable_rename,[status(thm)],[f_1459_1]) ).

cnf(f_1459_3,plain,
    hAPP_P1680401186r_bool(hAPP_f1666729379r_bool(hAPP_f1020753317r_bool(cOMBC_1297648632l_bool,U_7768),U_7767),U_7766) = hAPP_f515912112l_bool(hAPP_P205570445l_bool(U_7768,U_7766),U_7767),
    inference(clausify,[status(thm)],[f_1459_2]) ).

fof(f_1460_1,plain,
    ! [P,Q,R] : hAPP_l1845912621l_bool(hAPP_f1868463117l_bool(hAPP_f1365840271l_bool(cOMBB_1705938036t_char,P),Q),R) = hAPP_f1239832973l_bool(P,hAPP_l1388836853t_char(Q,R)),
    inference(fof_nnf,[status(thm)],[help_COMBB_1_1_COMBB_000tc__fun_Itc__prod_Itc__List__Olist_Itc__Type__Oty_J_Mtc__070]) ).

fof(f_1460_2,plain,
    ! [U_7771,U_7770,U_7769] : hAPP_l1845912621l_bool(hAPP_f1868463117l_bool(hAPP_f1365840271l_bool(cOMBB_1705938036t_char,U_7771),U_7770),U_7769) = hAPP_f1239832973l_bool(U_7771,hAPP_l1388836853t_char(U_7770,U_7769)),
    inference(variable_rename,[status(thm)],[f_1460_1]) ).

cnf(f_1460_3,plain,
    hAPP_l1845912621l_bool(hAPP_f1868463117l_bool(hAPP_f1365840271l_bool(cOMBB_1705938036t_char,U_7771),U_7770),U_7769) = hAPP_f1239832973l_bool(U_7771,hAPP_l1388836853t_char(U_7770,U_7769)),
    inference(clausify,[status(thm)],[f_1460_2]) ).

fof(f_1461_1,plain,
    ! [P,Q,R] : hAPP_l213519975l_bool(hAPP_f156692813l_bool(hAPP_f1847120981l_bool(cOMBB_1035649854t_char,P),Q),R) = hAPP_P1327510541l_bool(P,hAPP_l277216047t_char(Q,R)),
    inference(fof_nnf,[status(thm)],[help_COMBB_1_1_COMBB_000tc__prod_Itc__List__Olist_Itc__prod_Itc__List__Olist_Itc]) ).

fof(f_1461_2,plain,
    ! [U_7774,U_7773,U_7772] : hAPP_l213519975l_bool(hAPP_f156692813l_bool(hAPP_f1847120981l_bool(cOMBB_1035649854t_char,U_7774),U_7773),U_7772) = hAPP_P1327510541l_bool(U_7774,hAPP_l277216047t_char(U_7773,U_7772)),
    inference(variable_rename,[status(thm)],[f_1461_1]) ).

cnf(f_1461_3,plain,
    hAPP_l213519975l_bool(hAPP_f156692813l_bool(hAPP_f1847120981l_bool(cOMBB_1035649854t_char,U_7774),U_7773),U_7772) = hAPP_P1327510541l_bool(U_7774,hAPP_l277216047t_char(U_7773,U_7772)),
    inference(clausify,[status(thm)],[f_1461_2]) ).

fof(f_1462_1,plain,
    ! [P,Q,R] : hAPP_l2053770731r_bool(hAPP_f732843907r_bool(hAPP_f1563448447r_bool(cOMBB_1490692730t_char,P),Q),R) = hAPP_f1419180947r_bool(P,hAPP_l1845912621l_bool(Q,R)),
    inference(fof_nnf,[status(thm)],[help_COMBB_1_1_COMBB_000tc__fun_Itc__prod_Itc__List__Olist_Itc__Type__Oty_J_Mtc__071]) ).

fof(f_1462_2,plain,
    ! [U_7777,U_7776,U_7775] : hAPP_l2053770731r_bool(hAPP_f732843907r_bool(hAPP_f1563448447r_bool(cOMBB_1490692730t_char,U_7777),U_7776),U_7775) = hAPP_f1419180947r_bool(U_7777,hAPP_l1845912621l_bool(U_7776,U_7775)),
    inference(variable_rename,[status(thm)],[f_1462_1]) ).

cnf(f_1462_3,plain,
    hAPP_l2053770731r_bool(hAPP_f732843907r_bool(hAPP_f1563448447r_bool(cOMBB_1490692730t_char,U_7777),U_7776),U_7775) = hAPP_f1419180947r_bool(U_7777,hAPP_l1845912621l_bool(U_7776,U_7775)),
    inference(clausify,[status(thm)],[f_1462_2]) ).

fof(f_1463_1,plain,
    ! [P,Q,R] : hAPP_f613075253l_bool(hAPP_f1670595613l_bool(hAPP_f1472899487l_bool(cOMBB_588525814on_val,P),Q),R) = hAPP_f292637069l_bool(P,hAPP_f1849790461on_val(Q,R)),
    inference(fof_nnf,[status(thm)],[help_COMBB_1_1_COMBB_000tc__fun_Itc__fun_Itc__List__Olist_Itc__String__Ochar_J_M_072]) ).

fof(f_1463_2,plain,
    ! [U_7780,U_7779,U_7778] : hAPP_f613075253l_bool(hAPP_f1670595613l_bool(hAPP_f1472899487l_bool(cOMBB_588525814on_val,U_7780),U_7779),U_7778) = hAPP_f292637069l_bool(U_7780,hAPP_f1849790461on_val(U_7779,U_7778)),
    inference(variable_rename,[status(thm)],[f_1463_1]) ).

cnf(f_1463_3,plain,
    hAPP_f613075253l_bool(hAPP_f1670595613l_bool(hAPP_f1472899487l_bool(cOMBB_588525814on_val,U_7780),U_7779),U_7778) = hAPP_f292637069l_bool(U_7780,hAPP_f1849790461on_val(U_7779,U_7778)),
    inference(clausify,[status(thm)],[f_1463_2]) ).

fof(f_1464_1,plain,
    ! [P,Q,R] : hAPP_P1609485901l_bool(hAPP_f826324045l_bool(hAPP_f1639555093l_bool(cOMBB_985659173on_val,P),Q),R) = hAPP_P2015860941l_bool(P,hAPP_P604205461on_val(Q,R)),
    inference(fof_nnf,[status(thm)],[help_COMBB_1_1_COMBB_000tc__prod_Itc__Expr__Oexp_Itc__List__Olist_Itc__String__O]) ).

fof(f_1464_2,plain,
    ! [U_7783,U_7782,U_7781] : hAPP_P1609485901l_bool(hAPP_f826324045l_bool(hAPP_f1639555093l_bool(cOMBB_985659173on_val,U_7783),U_7782),U_7781) = hAPP_P2015860941l_bool(U_7783,hAPP_P604205461on_val(U_7782,U_7781)),
    inference(variable_rename,[status(thm)],[f_1464_1]) ).

cnf(f_1464_3,plain,
    hAPP_P1609485901l_bool(hAPP_f826324045l_bool(hAPP_f1639555093l_bool(cOMBB_985659173on_val,U_7783),U_7782),U_7781) = hAPP_P2015860941l_bool(U_7783,hAPP_P604205461on_val(U_7782,U_7781)),
    inference(clausify,[status(thm)],[f_1464_2]) ).

fof(f_1465_1,plain,
    ! [P,Q,R] : hAPP_f893576377l_bool(hAPP_f1250221913l_bool(hAPP_f1860331535l_bool(cOMBB_2084052674on_val,P),Q),R) = hAPP_f510152537l_bool(P,hAPP_f613075253l_bool(Q,R)),
    inference(fof_nnf,[status(thm)],[help_COMBB_1_1_COMBB_000tc__fun_Itc__fun_Itc__List__Olist_Itc__String__Ochar_J_M_073]) ).

fof(f_1465_2,plain,
    ! [U_7786,U_7785,U_7784] : hAPP_f893576377l_bool(hAPP_f1250221913l_bool(hAPP_f1860331535l_bool(cOMBB_2084052674on_val,U_7786),U_7785),U_7784) = hAPP_f510152537l_bool(U_7786,hAPP_f613075253l_bool(U_7785,U_7784)),
    inference(variable_rename,[status(thm)],[f_1465_1]) ).

cnf(f_1465_3,plain,
    hAPP_f893576377l_bool(hAPP_f1250221913l_bool(hAPP_f1860331535l_bool(cOMBB_2084052674on_val,U_7786),U_7785),U_7784) = hAPP_f510152537l_bool(U_7786,hAPP_f613075253l_bool(U_7785,U_7784)),
    inference(clausify,[status(thm)],[f_1465_2]) ).

fof(f_1466_1,plain,
    ! [P,Q,R] : hAPP_P1418247892l_bool(hAPP_f2037329933l_bool(hAPP_f251669717l_bool(cOMBB_773661144t_char,P),Q),R) = hAPP_P1517699917l_bool(P,hAPP_P1423780764t_char(Q,R)),
    inference(fof_nnf,[status(thm)],[help_COMBB_1_1_COMBB_000tc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__prod_074]) ).

fof(f_1466_2,plain,
    ! [U_7789,U_7788,U_7787] : hAPP_P1418247892l_bool(hAPP_f2037329933l_bool(hAPP_f251669717l_bool(cOMBB_773661144t_char,U_7789),U_7788),U_7787) = hAPP_P1517699917l_bool(U_7789,hAPP_P1423780764t_char(U_7788,U_7787)),
    inference(variable_rename,[status(thm)],[f_1466_1]) ).

cnf(f_1466_3,plain,
    hAPP_P1418247892l_bool(hAPP_f2037329933l_bool(hAPP_f251669717l_bool(cOMBB_773661144t_char,U_7789),U_7788),U_7787) = hAPP_P1517699917l_bool(U_7789,hAPP_P1423780764t_char(U_7788,U_7787)),
    inference(clausify,[status(thm)],[f_1466_2]) ).

fof(f_1467_1,plain,
    ! [P,Q,R] : hAPP_P594889876l_bool(hAPP_f375531599l_bool(hAPP_f1564338425l_bool(cOMBB_1078680455on_val,P),Q),R) = hAPP_P483670507l_bool(P,hAPP_P1963616220on_val(Q,R)),
    inference(fof_nnf,[status(thm)],[help_COMBB_1_1_COMBB_000tc__prod_Itc__List__Olist_Itc__Expr__Oexp_Itc__List__Oli]) ).

fof(f_1467_2,plain,
    ! [U_7792,U_7791,U_7790] : hAPP_P594889876l_bool(hAPP_f375531599l_bool(hAPP_f1564338425l_bool(cOMBB_1078680455on_val,U_7792),U_7791),U_7790) = hAPP_P483670507l_bool(U_7792,hAPP_P1963616220on_val(U_7791,U_7790)),
    inference(variable_rename,[status(thm)],[f_1467_1]) ).

cnf(f_1467_3,plain,
    hAPP_P594889876l_bool(hAPP_f375531599l_bool(hAPP_f1564338425l_bool(cOMBB_1078680455on_val,U_7792),U_7791),U_7790) = hAPP_P483670507l_bool(U_7792,hAPP_P1963616220on_val(U_7791,U_7790)),
    inference(clausify,[status(thm)],[f_1467_2]) ).

fof(f_1468_1,plain,
    ! [P,Q,R] : hAPP_P1708370145l_bool(hAPP_f973018659l_bool(hAPP_f961387813l_bool(cOMBC_1608987946l_bool,P),Q),R) = hAPP_f1453283057l_bool(hAPP_P638161699l_bool(P,R),Q),
    inference(fof_nnf,[status(thm)],[help_COMBC_1_1_COMBC_000tc__prod_Itc__Expr__Oexp_Itc__List__Olist_Itc__String__O]) ).

fof(f_1468_2,plain,
    ! [U_7795,U_7794,U_7793] : hAPP_P1708370145l_bool(hAPP_f973018659l_bool(hAPP_f961387813l_bool(cOMBC_1608987946l_bool,U_7795),U_7794),U_7793) = hAPP_f1453283057l_bool(hAPP_P638161699l_bool(U_7795,U_7793),U_7794),
    inference(variable_rename,[status(thm)],[f_1468_1]) ).

cnf(f_1468_3,plain,
    hAPP_P1708370145l_bool(hAPP_f973018659l_bool(hAPP_f961387813l_bool(cOMBC_1608987946l_bool,U_7795),U_7794),U_7793) = hAPP_f1453283057l_bool(hAPP_P638161699l_bool(U_7795,U_7793),U_7794),
    inference(clausify,[status(thm)],[f_1468_2]) ).

fof(f_1469_1,plain,
    ! [P,Q,R] : hAPP_P71593144l_bool(hAPP_f1317381998l_bool(hAPP_f1734997943l_bool(cOMBC_1491642377l_bool,P),Q),R) = hAPP_f458849545l_bool(hAPP_P88824722l_bool(P,R),Q),
    inference(fof_nnf,[status(thm)],[help_COMBC_1_1_COMBC_000tc__prod_Itc__List__Olist_Itc__Expr__Oexp_Itc__List__Oli]) ).

fof(f_1469_2,plain,
    ! [U_7798,U_7797,U_7796] : hAPP_P71593144l_bool(hAPP_f1317381998l_bool(hAPP_f1734997943l_bool(cOMBC_1491642377l_bool,U_7798),U_7797),U_7796) = hAPP_f458849545l_bool(hAPP_P88824722l_bool(U_7798,U_7796),U_7797),
    inference(variable_rename,[status(thm)],[f_1469_1]) ).

cnf(f_1469_3,plain,
    hAPP_P71593144l_bool(hAPP_f1317381998l_bool(hAPP_f1734997943l_bool(cOMBC_1491642377l_bool,U_7798),U_7797),U_7796) = hAPP_f458849545l_bool(hAPP_P88824722l_bool(U_7798,U_7796),U_7797),
    inference(clausify,[status(thm)],[f_1469_2]) ).

fof(f_1470_1,plain,
    ! [P,Q,R] : hAPP_P780018708l_bool(hAPP_f1107475085l_bool(hAPP_f937861397l_bool(cOMBB_1520154591t_char,P),Q),R) = hAPP_P205570445l_bool(P,hAPP_P1224499548t_char(Q,R)),
    inference(fof_nnf,[status(thm)],[help_COMBB_1_1_COMBB_000tc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__prod_075]) ).

fof(f_1470_2,plain,
    ! [U_7801,U_7800,U_7799] : hAPP_P780018708l_bool(hAPP_f1107475085l_bool(hAPP_f937861397l_bool(cOMBB_1520154591t_char,U_7801),U_7800),U_7799) = hAPP_P205570445l_bool(U_7801,hAPP_P1224499548t_char(U_7800,U_7799)),
    inference(variable_rename,[status(thm)],[f_1470_1]) ).

cnf(f_1470_3,plain,
    hAPP_P780018708l_bool(hAPP_f1107475085l_bool(hAPP_f937861397l_bool(cOMBB_1520154591t_char,U_7801),U_7800),U_7799) = hAPP_P205570445l_bool(U_7801,hAPP_P1224499548t_char(U_7800,U_7799)),
    inference(clausify,[status(thm)],[f_1470_2]) ).

fof(f_1471_1,plain,
    ! [P,Q,R] : hAPP_l1536299231l_bool(hAPP_f935003377l_bool(hAPP_f162154931l_bool(cOMBB_859890145har_ty,P),Q),R) = hAPP_f156692813l_bool(P,hAPP_l352172327t_char(Q,R)),
    inference(fof_nnf,[status(thm)],[help_COMBB_1_1_COMBB_000tc__fun_Itc__List__Olist_Itc__prod_Itc__List__Olist_Itc_]) ).

fof(f_1471_2,plain,
    ! [U_7804,U_7803,U_7802] : hAPP_l1536299231l_bool(hAPP_f935003377l_bool(hAPP_f162154931l_bool(cOMBB_859890145har_ty,U_7804),U_7803),U_7802) = hAPP_f156692813l_bool(U_7804,hAPP_l352172327t_char(U_7803,U_7802)),
    inference(variable_rename,[status(thm)],[f_1471_1]) ).

cnf(f_1471_3,plain,
    hAPP_l1536299231l_bool(hAPP_f935003377l_bool(hAPP_f162154931l_bool(cOMBB_859890145har_ty,U_7804),U_7803),U_7802) = hAPP_f156692813l_bool(U_7804,hAPP_l352172327t_char(U_7803,U_7802)),
    inference(clausify,[status(thm)],[f_1471_2]) ).

fof(f_1472_1,plain,
    ! [P,Q,R] : hAPP_l1129005983r_bool(hAPP_f1749915625r_bool(hAPP_f842743203r_bool(cOMBB_657296617har_ty,P),Q),R) = hAPP_f841257045r_bool(P,hAPP_l1536299231l_bool(Q,R)),
    inference(fof_nnf,[status(thm)],[help_COMBB_1_1_COMBB_000tc__fun_Itc__List__Olist_Itc__prod_Itc__List__Olist_Itc__076]) ).

fof(f_1472_2,plain,
    ! [U_7807,U_7806,U_7805] : hAPP_l1129005983r_bool(hAPP_f1749915625r_bool(hAPP_f842743203r_bool(cOMBB_657296617har_ty,U_7807),U_7806),U_7805) = hAPP_f841257045r_bool(U_7807,hAPP_l1536299231l_bool(U_7806,U_7805)),
    inference(variable_rename,[status(thm)],[f_1472_1]) ).

cnf(f_1472_3,plain,
    hAPP_l1129005983r_bool(hAPP_f1749915625r_bool(hAPP_f842743203r_bool(cOMBB_657296617har_ty,U_7807),U_7806),U_7805) = hAPP_f841257045r_bool(U_7807,hAPP_l1536299231l_bool(U_7806,U_7805)),
    inference(clausify,[status(thm)],[f_1472_2]) ).

fof(f_1473_1,plain,
    ! [P,Q,R] : hAPP_e286792811l_bool(hAPP_f1614195593l_bool(hAPP_f705562443l_bool(cOMBB_507006011t_char,P),Q),R) = hAPP_f826324045l_bool(P,hAPP_e1659493427on_val(Q,R)),
    inference(fof_nnf,[status(thm)],[help_COMBB_1_1_COMBB_000tc__fun_Itc__prod_Itc__fun_Itc__Nat__Onat_Mtc__Option__O]) ).

fof(f_1473_2,plain,
    ! [U_7810,U_7809,U_7808] : hAPP_e286792811l_bool(hAPP_f1614195593l_bool(hAPP_f705562443l_bool(cOMBB_507006011t_char,U_7810),U_7809),U_7808) = hAPP_f826324045l_bool(U_7810,hAPP_e1659493427on_val(U_7809,U_7808)),
    inference(variable_rename,[status(thm)],[f_1473_1]) ).

cnf(f_1473_3,plain,
    hAPP_e286792811l_bool(hAPP_f1614195593l_bool(hAPP_f705562443l_bool(cOMBB_507006011t_char,U_7810),U_7809),U_7808) = hAPP_f826324045l_bool(U_7810,hAPP_e1659493427on_val(U_7809,U_7808)),
    inference(clausify,[status(thm)],[f_1473_2]) ).

fof(f_1474_1,plain,
    ! [P,Q,R] : hAPP_l810309945l_bool(hAPP_f1817350437l_bool(hAPP_f614662951l_bool(cOMBB_1558246132t_char,P),Q),R) = hAPP_f2037329933l_bool(P,hAPP_l309186817t_char(Q,R)),
    inference(fof_nnf,[status(thm)],[help_COMBB_1_1_COMBB_000tc__fun_Itc__prod_Itc__List__Olist_Itc__prod_Itc__List__]) ).

fof(f_1474_2,plain,
    ! [U_7813,U_7812,U_7811] : hAPP_l810309945l_bool(hAPP_f1817350437l_bool(hAPP_f614662951l_bool(cOMBB_1558246132t_char,U_7813),U_7812),U_7811) = hAPP_f2037329933l_bool(U_7813,hAPP_l309186817t_char(U_7812,U_7811)),
    inference(variable_rename,[status(thm)],[f_1474_1]) ).

cnf(f_1474_3,plain,
    hAPP_l810309945l_bool(hAPP_f1817350437l_bool(hAPP_f614662951l_bool(cOMBB_1558246132t_char,U_7813),U_7812),U_7811) = hAPP_f2037329933l_bool(U_7813,hAPP_l309186817t_char(U_7812,U_7811)),
    inference(clausify,[status(thm)],[f_1474_2]) ).

fof(f_1475_1,plain,
    ! [P,Q,R] : hAPP_e1705922617l_bool(hAPP_f1475571983l_bool(hAPP_f1946480059l_bool(cOMBB_673739729t_char,P),Q),R) = hAPP_f101237475l_bool(P,hAPP_e286792811l_bool(Q,R)),
    inference(fof_nnf,[status(thm)],[help_COMBB_1_1_COMBB_000tc__fun_Itc__prod_Itc__fun_Itc__Nat__Onat_Mtc__Option__O_077]) ).

fof(f_1475_2,plain,
    ! [U_7816,U_7815,U_7814] : hAPP_e1705922617l_bool(hAPP_f1475571983l_bool(hAPP_f1946480059l_bool(cOMBB_673739729t_char,U_7816),U_7815),U_7814) = hAPP_f101237475l_bool(U_7816,hAPP_e286792811l_bool(U_7815,U_7814)),
    inference(variable_rename,[status(thm)],[f_1475_1]) ).

cnf(f_1475_3,plain,
    hAPP_e1705922617l_bool(hAPP_f1475571983l_bool(hAPP_f1946480059l_bool(cOMBB_673739729t_char,U_7816),U_7815),U_7814) = hAPP_f101237475l_bool(U_7816,hAPP_e286792811l_bool(U_7815,U_7814)),
    inference(clausify,[status(thm)],[f_1475_2]) ).

fof(f_1476_1,plain,
    ! [P,Q,R] : hAPP_l232580245l_bool(hAPP_f1752856401l_bool(hAPP_f552300311l_bool(cOMBB_1270208498t_char,P),Q),R) = hAPP_f375531599l_bool(P,hAPP_l1275479261on_val(Q,R)),
    inference(fof_nnf,[status(thm)],[help_COMBB_1_1_COMBB_000tc__fun_Itc__prod_Itc__fun_Itc__Nat__Onat_Mtc__Option__O_078]) ).

fof(f_1476_2,plain,
    ! [U_7819,U_7818,U_7817] : hAPP_l232580245l_bool(hAPP_f1752856401l_bool(hAPP_f552300311l_bool(cOMBB_1270208498t_char,U_7819),U_7818),U_7817) = hAPP_f375531599l_bool(U_7819,hAPP_l1275479261on_val(U_7818,U_7817)),
    inference(variable_rename,[status(thm)],[f_1476_1]) ).

cnf(f_1476_3,plain,
    hAPP_l232580245l_bool(hAPP_f1752856401l_bool(hAPP_f552300311l_bool(cOMBB_1270208498t_char,U_7819),U_7818),U_7817) = hAPP_f375531599l_bool(U_7819,hAPP_l1275479261on_val(U_7818,U_7817)),
    inference(clausify,[status(thm)],[f_1476_2]) ).

fof(f_1477_1,plain,
    ! [P,Q,R] : hAPP_P1116729363l_bool(hAPP_f1200025813l_bool(hAPP_f1089788553l_bool(cOMBC_967917532l_bool,P),Q),R) = hAPP_f973018659l_bool(hAPP_P609938901l_bool(P,R),Q),
    inference(fof_nnf,[status(thm)],[help_COMBC_1_1_COMBC_000tc__prod_Itc__Expr__Oexp_Itc__List__Olist_Itc__String__O_079]) ).

fof(f_1477_2,plain,
    ! [U_7822,U_7821,U_7820] : hAPP_P1116729363l_bool(hAPP_f1200025813l_bool(hAPP_f1089788553l_bool(cOMBC_967917532l_bool,U_7822),U_7821),U_7820) = hAPP_f973018659l_bool(hAPP_P609938901l_bool(U_7822,U_7820),U_7821),
    inference(variable_rename,[status(thm)],[f_1477_1]) ).

cnf(f_1477_3,plain,
    hAPP_P1116729363l_bool(hAPP_f1200025813l_bool(hAPP_f1089788553l_bool(cOMBC_967917532l_bool,U_7822),U_7821),U_7820) = hAPP_f973018659l_bool(hAPP_P609938901l_bool(U_7822,U_7820),U_7821),
    inference(clausify,[status(thm)],[f_1477_2]) ).

fof(f_1478_1,plain,
    ! [P,Q,R] : hAPP_P282169671l_bool(hAPP_f2036784149l_bool(hAPP_f1720452391l_bool(cOMBC_1021753250l_bool,P),Q),R) = hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(P,R),Q),
    inference(fof_nnf,[status(thm)],[help_COMBC_1_1_COMBC_000tc__prod_Itc__prod_Itc__Expr__Oexp_Itc__List__Olist_Itc_]) ).

fof(f_1478_2,plain,
    ! [U_7825,U_7824,U_7823] : hAPP_P282169671l_bool(hAPP_f2036784149l_bool(hAPP_f1720452391l_bool(cOMBC_1021753250l_bool,U_7825),U_7824),U_7823) = hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(U_7825,U_7823),U_7824),
    inference(variable_rename,[status(thm)],[f_1478_1]) ).

cnf(f_1478_3,plain,
    hAPP_P282169671l_bool(hAPP_f2036784149l_bool(hAPP_f1720452391l_bool(cOMBC_1021753250l_bool,U_7825),U_7824),U_7823) = hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(U_7825,U_7823),U_7824),
    inference(clausify,[status(thm)],[f_1478_2]) ).

fof(f_1479_1,plain,
    ! [P,Q,R] : hAPP_l1988620845r_bool(hAPP_f1957374161r_bool(hAPP_f304993943r_bool(cOMBB_847828016t_char,P),Q),R) = hAPP_f1410576713r_bool(P,hAPP_l810309945l_bool(Q,R)),
    inference(fof_nnf,[status(thm)],[help_COMBB_1_1_COMBB_000tc__fun_Itc__prod_Itc__List__Olist_Itc__prod_Itc__List___080]) ).

fof(f_1479_2,plain,
    ! [U_7828,U_7827,U_7826] : hAPP_l1988620845r_bool(hAPP_f1957374161r_bool(hAPP_f304993943r_bool(cOMBB_847828016t_char,U_7828),U_7827),U_7826) = hAPP_f1410576713r_bool(U_7828,hAPP_l810309945l_bool(U_7827,U_7826)),
    inference(variable_rename,[status(thm)],[f_1479_1]) ).

cnf(f_1479_3,plain,
    hAPP_l1988620845r_bool(hAPP_f1957374161r_bool(hAPP_f304993943r_bool(cOMBB_847828016t_char,U_7828),U_7827),U_7826) = hAPP_f1410576713r_bool(U_7828,hAPP_l810309945l_bool(U_7827,U_7826)),
    inference(clausify,[status(thm)],[f_1479_2]) ).

fof(f_1480_1,plain,
    ! [P,Q,R] : hAPP_l177734933l_bool(hAPP_f1149562121l_bool(hAPP_f1850037271l_bool(cOMBB_773375802t_char,P),Q),R) = hAPP_f1467537159l_bool(P,hAPP_l232580245l_bool(Q,R)),
    inference(fof_nnf,[status(thm)],[help_COMBB_1_1_COMBB_000tc__fun_Itc__prod_Itc__fun_Itc__Nat__Onat_Mtc__Option__O_081]) ).

fof(f_1480_2,plain,
    ! [U_7831,U_7830,U_7829] : hAPP_l177734933l_bool(hAPP_f1149562121l_bool(hAPP_f1850037271l_bool(cOMBB_773375802t_char,U_7831),U_7830),U_7829) = hAPP_f1467537159l_bool(U_7831,hAPP_l232580245l_bool(U_7830,U_7829)),
    inference(variable_rename,[status(thm)],[f_1480_1]) ).

cnf(f_1480_3,plain,
    hAPP_l177734933l_bool(hAPP_f1149562121l_bool(hAPP_f1850037271l_bool(cOMBB_773375802t_char,U_7831),U_7830),U_7829) = hAPP_f1467537159l_bool(U_7831,hAPP_l232580245l_bool(U_7830,U_7829)),
    inference(clausify,[status(thm)],[f_1480_2]) ).

fof(f_1481_1,plain,
    ! [P,Q,R] : hAPP_P1183008383l_bool(hAPP_f447422815l_bool(hAPP_f2052909183l_bool(cOMBC_766524526l_bool,P),Q),R) = hAPP_f1317381998l_bool(hAPP_P768428603l_bool(P,R),Q),
    inference(fof_nnf,[status(thm)],[help_COMBC_1_1_COMBC_000tc__prod_Itc__List__Olist_Itc__Expr__Oexp_Itc__List__Oli_082]) ).

fof(f_1481_2,plain,
    ! [U_7834,U_7833,U_7832] : hAPP_P1183008383l_bool(hAPP_f447422815l_bool(hAPP_f2052909183l_bool(cOMBC_766524526l_bool,U_7834),U_7833),U_7832) = hAPP_f1317381998l_bool(hAPP_P768428603l_bool(U_7834,U_7832),U_7833),
    inference(variable_rename,[status(thm)],[f_1481_1]) ).

cnf(f_1481_3,plain,
    hAPP_P1183008383l_bool(hAPP_f447422815l_bool(hAPP_f2052909183l_bool(cOMBC_766524526l_bool,U_7834),U_7833),U_7832) = hAPP_f1317381998l_bool(hAPP_P768428603l_bool(U_7834,U_7832),U_7833),
    inference(clausify,[status(thm)],[f_1481_2]) ).

fof(f_1482_1,plain,
    ! [P,Q,R] : hAPP_P1333315679l_bool(hAPP_f1856968213l_bool(hAPP_f677078775l_bool(cOMBC_475083938l_bool,P),Q),R) = hAPP_f458849545l_bool(hAPP_P126004409l_bool(P,R),Q),
    inference(fof_nnf,[status(thm)],[help_COMBC_1_1_COMBC_000tc__prod_Itc__prod_Itc__List__Olist_Itc__Expr__Oexp_Itc_]) ).

fof(f_1482_2,plain,
    ! [U_7837,U_7836,U_7835] : hAPP_P1333315679l_bool(hAPP_f1856968213l_bool(hAPP_f677078775l_bool(cOMBC_475083938l_bool,U_7837),U_7836),U_7835) = hAPP_f458849545l_bool(hAPP_P126004409l_bool(U_7837,U_7835),U_7836),
    inference(variable_rename,[status(thm)],[f_1482_1]) ).

cnf(f_1482_3,plain,
    hAPP_P1333315679l_bool(hAPP_f1856968213l_bool(hAPP_f677078775l_bool(cOMBC_475083938l_bool,U_7837),U_7836),U_7835) = hAPP_f458849545l_bool(hAPP_P126004409l_bool(U_7837,U_7835),U_7836),
    inference(clausify,[status(thm)],[f_1482_2]) ).

fof(f_1483_1,plain,
    ! [P,Q,R] : hAPP_l1591404153l_bool(hAPP_f333583909l_bool(hAPP_f1407048615l_bool(cOMBB_741416308t_char,P),Q),R) = hAPP_f1107475085l_bool(P,hAPP_l902950593t_char(Q,R)),
    inference(fof_nnf,[status(thm)],[help_COMBB_1_1_COMBB_000tc__fun_Itc__prod_Itc__List__Olist_Itc__String__Ochar_J_]) ).

fof(f_1483_2,plain,
    ! [U_7840,U_7839,U_7838] : hAPP_l1591404153l_bool(hAPP_f333583909l_bool(hAPP_f1407048615l_bool(cOMBB_741416308t_char,U_7840),U_7839),U_7838) = hAPP_f1107475085l_bool(U_7840,hAPP_l902950593t_char(U_7839,U_7838)),
    inference(variable_rename,[status(thm)],[f_1483_1]) ).

cnf(f_1483_3,plain,
    hAPP_l1591404153l_bool(hAPP_f333583909l_bool(hAPP_f1407048615l_bool(cOMBB_741416308t_char,U_7840),U_7839),U_7838) = hAPP_f1107475085l_bool(U_7840,hAPP_l902950593t_char(U_7839,U_7838)),
    inference(clausify,[status(thm)],[f_1483_2]) ).

fof(f_1484_1,plain,
    ! [P,Q,R] : hAPP_l923073979r_bool(hAPP_f29105311r_bool(hAPP_f953097879r_bool(cOMBB_672864638t_char,P),Q),R) = hAPP_f454222487r_bool(P,hAPP_l1591404153l_bool(Q,R)),
    inference(fof_nnf,[status(thm)],[help_COMBB_1_1_COMBB_000tc__fun_Itc__prod_Itc__List__Olist_Itc__String__Ochar_J__083]) ).

fof(f_1484_2,plain,
    ! [U_7843,U_7842,U_7841] : hAPP_l923073979r_bool(hAPP_f29105311r_bool(hAPP_f953097879r_bool(cOMBB_672864638t_char,U_7843),U_7842),U_7841) = hAPP_f454222487r_bool(U_7843,hAPP_l1591404153l_bool(U_7842,U_7841)),
    inference(variable_rename,[status(thm)],[f_1484_1]) ).

cnf(f_1484_3,plain,
    hAPP_l923073979r_bool(hAPP_f29105311r_bool(hAPP_f953097879r_bool(cOMBB_672864638t_char,U_7843),U_7842),U_7841) = hAPP_f454222487r_bool(U_7843,hAPP_l1591404153l_bool(U_7842,U_7841)),
    inference(clausify,[status(thm)],[f_1484_2]) ).

fof(f_1485_1,plain,
    ! [P,Q,R] : hAPP_P638161699l_bool(hAPP_f762728813l_bool(hAPP_f1510763001l_bool(cOMBB_565412073on_val,P),Q),R) = hAPP_P1303341961l_bool(P,hAPP_P1886180715on_val(Q,R)),
    inference(fof_nnf,[status(thm)],[help_COMBB_1_1_COMBB_000tc__prod_Itc__prod_Itc__Expr__Oexp_Itc__List__Olist_Itc_]) ).

fof(f_1485_2,plain,
    ! [U_7846,U_7845,U_7844] : hAPP_P638161699l_bool(hAPP_f762728813l_bool(hAPP_f1510763001l_bool(cOMBB_565412073on_val,U_7846),U_7845),U_7844) = hAPP_P1303341961l_bool(U_7846,hAPP_P1886180715on_val(U_7845,U_7844)),
    inference(variable_rename,[status(thm)],[f_1485_1]) ).

cnf(f_1485_3,plain,
    hAPP_P638161699l_bool(hAPP_f762728813l_bool(hAPP_f1510763001l_bool(cOMBB_565412073on_val,U_7846),U_7845),U_7844) = hAPP_P1303341961l_bool(U_7846,hAPP_P1886180715on_val(U_7845,U_7844)),
    inference(clausify,[status(thm)],[f_1485_2]) ).

fof(f_1486_1,plain,
    ! [P,Q,R] : hAPP_P88824722l_bool(hAPP_f1776493709l_bool(hAPP_f810261999l_bool(cOMBB_1034324152on_val,P),Q),R) = hAPP_P126004409l_bool(P,hAPP_P658340954on_val(Q,R)),
    inference(fof_nnf,[status(thm)],[help_COMBB_1_1_COMBB_000tc__prod_Itc__prod_Itc__List__Olist_Itc__Expr__Oexp_Itc_]) ).

fof(f_1486_2,plain,
    ! [U_7849,U_7848,U_7847] : hAPP_P88824722l_bool(hAPP_f1776493709l_bool(hAPP_f810261999l_bool(cOMBB_1034324152on_val,U_7849),U_7848),U_7847) = hAPP_P126004409l_bool(U_7849,hAPP_P658340954on_val(U_7848,U_7847)),
    inference(variable_rename,[status(thm)],[f_1486_1]) ).

cnf(f_1486_3,plain,
    hAPP_P88824722l_bool(hAPP_f1776493709l_bool(hAPP_f810261999l_bool(cOMBB_1034324152on_val,U_7849),U_7848),U_7847) = hAPP_P126004409l_bool(U_7849,hAPP_P658340954on_val(U_7848,U_7847)),
    inference(clausify,[status(thm)],[f_1486_2]) ).

fof(f_1487_1,plain,
    ! [P,Q,R] : hAPP_P527298901l_bool(hAPP_f1204100177l_bool(hAPP_f2026692601l_bool(cOMBB_1977588741on_val,P),Q),R) = hAPP_f762728813l_bool(P,hAPP_P1870962205on_val(Q,R)),
    inference(fof_nnf,[status(thm)],[help_COMBB_1_1_COMBB_000tc__fun_Itc__prod_Itc__Expr__Oexp_Itc__List__Olist_Itc__]) ).

fof(f_1487_2,plain,
    ! [U_7852,U_7851,U_7850] : hAPP_P527298901l_bool(hAPP_f1204100177l_bool(hAPP_f2026692601l_bool(cOMBB_1977588741on_val,U_7852),U_7851),U_7850) = hAPP_f762728813l_bool(U_7852,hAPP_P1870962205on_val(U_7851,U_7850)),
    inference(variable_rename,[status(thm)],[f_1487_1]) ).

cnf(f_1487_3,plain,
    hAPP_P527298901l_bool(hAPP_f1204100177l_bool(hAPP_f2026692601l_bool(cOMBB_1977588741on_val,U_7852),U_7851),U_7850) = hAPP_f762728813l_bool(U_7852,hAPP_P1870962205on_val(U_7851,U_7850)),
    inference(clausify,[status(thm)],[f_1487_2]) ).

fof(f_1488_1,plain,
    ! [P,Q,R] : hAPP_P609938901l_bool(hAPP_f2095325577l_bool(hAPP_f1135930489l_bool(cOMBB_1223415373on_val,P),Q),R) = hAPP_f961387813l_bool(P,hAPP_P527298901l_bool(Q,R)),
    inference(fof_nnf,[status(thm)],[help_COMBB_1_1_COMBB_000tc__fun_Itc__prod_Itc__Expr__Oexp_Itc__List__Olist_Itc___084]) ).

fof(f_1488_2,plain,
    ! [U_7855,U_7854,U_7853] : hAPP_P609938901l_bool(hAPP_f2095325577l_bool(hAPP_f1135930489l_bool(cOMBB_1223415373on_val,U_7855),U_7854),U_7853) = hAPP_f961387813l_bool(U_7855,hAPP_P527298901l_bool(U_7854,U_7853)),
    inference(variable_rename,[status(thm)],[f_1488_1]) ).

cnf(f_1488_3,plain,
    hAPP_P609938901l_bool(hAPP_f2095325577l_bool(hAPP_f1135930489l_bool(cOMBB_1223415373on_val,U_7855),U_7854),U_7853) = hAPP_f961387813l_bool(U_7855,hAPP_P527298901l_bool(U_7854,U_7853)),
    inference(clausify,[status(thm)],[f_1488_2]) ).

fof(f_1489_1,plain,
    ! [P,Q,R] : hAPP_P76086873l_bool(hAPP_f1082373989l_bool(hAPP_f869803751l_bool(cOMBB_555068556on_val,P),Q),R) = hAPP_f1776493709l_bool(P,hAPP_P1526035745on_val(Q,R)),
    inference(fof_nnf,[status(thm)],[help_COMBB_1_1_COMBB_000tc__fun_Itc__prod_Itc__List__Olist_Itc__Expr__Oexp_Itc__]) ).

fof(f_1489_2,plain,
    ! [U_7858,U_7857,U_7856] : hAPP_P76086873l_bool(hAPP_f1082373989l_bool(hAPP_f869803751l_bool(cOMBB_555068556on_val,U_7858),U_7857),U_7856) = hAPP_f1776493709l_bool(U_7858,hAPP_P1526035745on_val(U_7857,U_7856)),
    inference(variable_rename,[status(thm)],[f_1489_1]) ).

cnf(f_1489_3,plain,
    hAPP_P76086873l_bool(hAPP_f1082373989l_bool(hAPP_f869803751l_bool(cOMBB_555068556on_val,U_7858),U_7857),U_7856) = hAPP_f1776493709l_bool(U_7858,hAPP_P1526035745on_val(U_7857,U_7856)),
    inference(clausify,[status(thm)],[f_1489_2]) ).

fof(f_1490_1,plain,
    ! [P,Q,R] : hAPP_P768428603l_bool(hAPP_f1427871743l_bool(hAPP_f32926423l_bool(cOMBB_779086262on_val,P),Q),R) = hAPP_f1734997943l_bool(P,hAPP_P76086873l_bool(Q,R)),
    inference(fof_nnf,[status(thm)],[help_COMBB_1_1_COMBB_000tc__fun_Itc__prod_Itc__List__Olist_Itc__Expr__Oexp_Itc___085]) ).

fof(f_1490_2,plain,
    ! [U_7861,U_7860,U_7859] : hAPP_P768428603l_bool(hAPP_f1427871743l_bool(hAPP_f32926423l_bool(cOMBB_779086262on_val,U_7861),U_7860),U_7859) = hAPP_f1734997943l_bool(U_7861,hAPP_P76086873l_bool(U_7860,U_7859)),
    inference(variable_rename,[status(thm)],[f_1490_1]) ).

cnf(f_1490_3,plain,
    hAPP_P768428603l_bool(hAPP_f1427871743l_bool(hAPP_f32926423l_bool(cOMBB_779086262on_val,U_7861),U_7860),U_7859) = hAPP_f1734997943l_bool(U_7861,hAPP_P76086873l_bool(U_7860,U_7859)),
    inference(clausify,[status(thm)],[f_1490_2]) ).

fof(f_1491_1,negated_conjecture,
    ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,ea),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,ha),fun_up1149430426on_val(la,v_1,hAPP_val_option_val(some_val,v))))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,e_a),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,h_a),l_a)))),red(p))),
    inference(negate,[status(cth)],[conj_0]) ).

fof(f_1491_2,negated_conjecture,
    ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,ea),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,ha),fun_up1149430426on_val(la,v_1,hAPP_val_option_val(some_val,v))))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,e_a),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,h_a),l_a)))),red(p))),
    inference(definitional_conversion,[status(esa)],[f_1491_1]) ).

cnf(f_1491_3,negated_conjecture,
    ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,ea),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,ha),fun_up1149430426on_val(la,v_1,hAPP_val_option_val(some_val,v))))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,e_a),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,h_a),l_a)))),red(p))),
    inference(clausify,[status(thm)],[f_1491_2]) ).

cnf(f_149_4_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_149_4]) ).

cnf(f_150_4_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_150_4]) ).

cnf(f_151_4_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_151_4]) ).

cnf(f_152_4_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_152_4]) ).

cnf(f_420_8_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_420_8]) ).

cnf(f_420_9_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_420_9]) ).

cnf(f_1209_7_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_1209_7]) ).

cnf(f_1209_8_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_1209_8]) ).

cnf(f_1216_5_true,plain,
    $true,
    inference(clause_is_true,[status(thm)],[f_1216_5]) ).

cnf(f_1263_7_simplified,plain,
    ( U_6847 = void
    | ~ hBOOL(wTrt_1(U_6854,U_6853,U_6852,fAss_list_char(U_6851,U_6850,U_6849,U_6848),U_6847)) ),
    inference(simplify_clause,[status(thm)],[f_1263_7]) ).

cnf(equality_1,axiom,
    Eq_x_0 = Eq_x_0,
    theory(equality,[reflexivity]) ).

cnf(equality_2,axiom,
    ( Eq_x_1 = Eq_x_0
    | Eq_x_0 != Eq_x_1 ),
    theory(equality,[symmetry]) ).

cnf(equality_3,axiom,
    ( Eq_x_0 = Eq_x_2
    | Eq_x_1 != Eq_x_2
    | Eq_x_0 != Eq_x_1 ),
    theory(equality,[transitivity]) ).

cnf(equality_4,axiom,
    ( final_list_char(Eq_x_0) = final_list_char(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_5,axiom,
    ( finals_list_char(Eq_x_0) = finals_list_char(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_6,axiom,
    ( conf_P373316194t_char(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = conf_P373316194t_char(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_7,axiom,
    ( d_list_char(Eq_x_0,Eq_x_1) = d_list_char(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_8,axiom,
    ( preallocated(Eq_x_0) = preallocated(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_9,axiom,
    ( undefined_bop(Eq_x_0) = undefined_bop(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_10,axiom,
    ( distinct_list_char(Eq_x_0) = distinct_list_char(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_11,axiom,
    ( list_all2_ty_ty(Eq_x_0,Eq_x_1,Eq_x_2) = list_all2_ty_ty(Eq_y_0,Eq_y_1,Eq_y_2)
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_12,axiom,
    ( hext(Eq_x_0,Eq_x_1) = hext(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_13,axiom,
    ( wTrt(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4) = wTrt(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_14,axiom,
    ( wTrts(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4) = wTrts(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_15,axiom,
    ( assigned(Eq_x_0,Eq_x_1) = assigned(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_16,axiom,
    ( fields1147507508t_char(Eq_x_0,Eq_x_1,Eq_x_2) = fields1147507508t_char(Eq_y_0,Eq_y_1,Eq_y_2)
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_17,axiom,
    ( is_refT(Eq_x_0) = is_refT(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_18,axiom,
    ( wf_pro755087577t_char(Eq_x_0,Eq_x_1) = wf_pro755087577t_char(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_19,axiom,
    ( wTrt_1(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4) = wTrt_1(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_20,axiom,
    ( wTrts_1(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4) = wTrts_1(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_21,axiom,
    ( hAPP_e544220455r_bool(Eq_x_0,Eq_x_1) = hAPP_e544220455r_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_22,axiom,
    ( hAPP_bool_bool(Eq_x_0,Eq_x_1) = hAPP_bool_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_23,axiom,
    ( hAPP_list_char_bool(Eq_x_0,Eq_x_1) = hAPP_list_char_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_24,axiom,
    ( hAPP_l902158906r_bool(Eq_x_0,Eq_x_1) = hAPP_l902158906r_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_25,axiom,
    ( hAPP_nat_bool(Eq_x_0,Eq_x_1) = hAPP_nat_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_26,axiom,
    ( hAPP_option_ty_bool(Eq_x_0,Eq_x_1) = hAPP_option_ty_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_27,axiom,
    ( hAPP_option_val_bool(Eq_x_0,Eq_x_1) = hAPP_option_val_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_28,axiom,
    ( hAPP_o2007402111l_bool(Eq_x_0,Eq_x_1) = hAPP_o2007402111l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_29,axiom,
    ( hAPP_ty_bool(Eq_x_0,Eq_x_1) = hAPP_ty_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_30,axiom,
    ( hAPP_val_bool(Eq_x_0,Eq_x_1) = hAPP_val_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_31,axiom,
    ( hAPP_f1776070952l_bool(Eq_x_0,Eq_x_1) = hAPP_f1776070952l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_32,axiom,
    ( hAPP_f570766339l_bool(Eq_x_0,Eq_x_1) = hAPP_f570766339l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_33,axiom,
    ( hAPP_f2041029616l_bool(Eq_x_0,Eq_x_1) = hAPP_f2041029616l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_34,axiom,
    ( hAPP_f539072365l_bool(Eq_x_0,Eq_x_1) = hAPP_f539072365l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_35,axiom,
    ( hAPP_f998390560l_bool(Eq_x_0,Eq_x_1) = hAPP_f998390560l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_36,axiom,
    ( hAPP_f986089162l_bool(Eq_x_0,Eq_x_1) = hAPP_f986089162l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_37,axiom,
    ( hAPP_f1001225811y_bool(Eq_x_0,Eq_x_1) = hAPP_f1001225811y_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_38,axiom,
    ( hAPP_f1033709212l_bool(Eq_x_0,Eq_x_1) = hAPP_f1033709212l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_39,axiom,
    ( hAPP_f1776419603l_bool(Eq_x_0,Eq_x_1) = hAPP_f1776419603l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_40,axiom,
    ( hAPP_f678833350l_bool(Eq_x_0,Eq_x_1) = hAPP_f678833350l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_41,axiom,
    ( hAPP_f1795246582l_bool(Eq_x_0,Eq_x_1) = hAPP_f1795246582l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_42,axiom,
    ( hAPP_f1931964053l_bool(Eq_x_0,Eq_x_1) = hAPP_f1931964053l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_43,axiom,
    ( hAPP_f1520735791l_bool(Eq_x_0,Eq_x_1) = hAPP_f1520735791l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_44,axiom,
    ( hAPP_f1889282162l_bool(Eq_x_0,Eq_x_1) = hAPP_f1889282162l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_45,axiom,
    ( hAPP_f1118567467l_bool(Eq_x_0,Eq_x_1) = hAPP_f1118567467l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_46,axiom,
    ( hAPP_f1409772418l_bool(Eq_x_0,Eq_x_1) = hAPP_f1409772418l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_47,axiom,
    ( hAPP_f54304608l_bool(Eq_x_0,Eq_x_1) = hAPP_f54304608l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_48,axiom,
    ( hAPP_f61040418l_bool(Eq_x_0,Eq_x_1) = hAPP_f61040418l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_49,axiom,
    ( hAPP_f2071159779l_bool(Eq_x_0,Eq_x_1) = hAPP_f2071159779l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_50,axiom,
    ( hAPP_f1450446905l_bool(Eq_x_0,Eq_x_1) = hAPP_f1450446905l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_51,axiom,
    ( hAPP_f1854361213l_bool(Eq_x_0,Eq_x_1) = hAPP_f1854361213l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_52,axiom,
    ( hAPP_f742333458l_bool(Eq_x_0,Eq_x_1) = hAPP_f742333458l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_53,axiom,
    ( hAPP_f588675559l_bool(Eq_x_0,Eq_x_1) = hAPP_f588675559l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_54,axiom,
    ( hAPP_f91506671l_bool(Eq_x_0,Eq_x_1) = hAPP_f91506671l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_55,axiom,
    ( hAPP_f434955681l_bool(Eq_x_0,Eq_x_1) = hAPP_f434955681l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_56,axiom,
    ( hAPP_f1734260017l_bool(Eq_x_0,Eq_x_1) = hAPP_f1734260017l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_57,axiom,
    ( hAPP_f837795298l_bool(Eq_x_0,Eq_x_1) = hAPP_f837795298l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_58,axiom,
    ( hAPP_f861853459l_bool(Eq_x_0,Eq_x_1) = hAPP_f861853459l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_59,axiom,
    ( hAPP_f82569901l_bool(Eq_x_0,Eq_x_1) = hAPP_f82569901l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_60,axiom,
    ( hAPP_f479632753l_bool(Eq_x_0,Eq_x_1) = hAPP_f479632753l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_61,axiom,
    ( hAPP_f1780084320l_bool(Eq_x_0,Eq_x_1) = hAPP_f1780084320l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_62,axiom,
    ( hAPP_f2106398425l_bool(Eq_x_0,Eq_x_1) = hAPP_f2106398425l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_63,axiom,
    ( hAPP_f1715346603l_bool(Eq_x_0,Eq_x_1) = hAPP_f1715346603l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_64,axiom,
    ( hAPP_f1134950784l_bool(Eq_x_0,Eq_x_1) = hAPP_f1134950784l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_65,axiom,
    ( hAPP_f515912112l_bool(Eq_x_0,Eq_x_1) = hAPP_f515912112l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_66,axiom,
    ( hAPP_f483496539l_bool(Eq_x_0,Eq_x_1) = hAPP_f483496539l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_67,axiom,
    ( hAPP_f2050077417l_bool(Eq_x_0,Eq_x_1) = hAPP_f2050077417l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_68,axiom,
    ( hAPP_f433445541l_bool(Eq_x_0,Eq_x_1) = hAPP_f433445541l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_69,axiom,
    ( hAPP_f1746574980l_bool(Eq_x_0,Eq_x_1) = hAPP_f1746574980l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_70,axiom,
    ( hAPP_f1314764175l_bool(Eq_x_0,Eq_x_1) = hAPP_f1314764175l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_71,axiom,
    ( hAPP_f348753975l_bool(Eq_x_0,Eq_x_1) = hAPP_f348753975l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_72,axiom,
    ( hAPP_f288221747l_bool(Eq_x_0,Eq_x_1) = hAPP_f288221747l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_73,axiom,
    ( hAPP_f1161798306l_bool(Eq_x_0,Eq_x_1) = hAPP_f1161798306l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_74,axiom,
    ( hAPP_f1748390065l_bool(Eq_x_0,Eq_x_1) = hAPP_f1748390065l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_75,axiom,
    ( hAPP_f2028441009l_bool(Eq_x_0,Eq_x_1) = hAPP_f2028441009l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_76,axiom,
    ( hAPP_f1661305905l_bool(Eq_x_0,Eq_x_1) = hAPP_f1661305905l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_77,axiom,
    ( hAPP_f966411375l_bool(Eq_x_0,Eq_x_1) = hAPP_f966411375l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_78,axiom,
    ( hAPP_f1754555101l_bool(Eq_x_0,Eq_x_1) = hAPP_f1754555101l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_79,axiom,
    ( hAPP_f983152497l_bool(Eq_x_0,Eq_x_1) = hAPP_f983152497l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_80,axiom,
    ( hAPP_f126136681l_bool(Eq_x_0,Eq_x_1) = hAPP_f126136681l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_81,axiom,
    ( hAPP_f1453283057l_bool(Eq_x_0,Eq_x_1) = hAPP_f1453283057l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_82,axiom,
    ( hAPP_f458849545l_bool(Eq_x_0,Eq_x_1) = hAPP_f458849545l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_83,axiom,
    ( hAPP_f595031537l_bool(Eq_x_0,Eq_x_1) = hAPP_f595031537l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_84,axiom,
    ( hAPP_f528956081l_bool(Eq_x_0,Eq_x_1) = hAPP_f528956081l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_85,axiom,
    ( hAPP_f851858423l_bool(Eq_x_0,Eq_x_1) = hAPP_f851858423l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_86,axiom,
    ( hAPP_f665343921l_bool(Eq_x_0,Eq_x_1) = hAPP_f665343921l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_87,axiom,
    ( hAPP_f538118321l_bool(Eq_x_0,Eq_x_1) = hAPP_f538118321l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_88,axiom,
    ( hAPP_f272179441l_bool(Eq_x_0,Eq_x_1) = hAPP_f272179441l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_89,axiom,
    ( hAPP_f258424141l_bool(Eq_x_0,Eq_x_1) = hAPP_f258424141l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_90,axiom,
    ( hAPP_f1145574243l_bool(Eq_x_0,Eq_x_1) = hAPP_f1145574243l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_91,axiom,
    ( hAPP_f126445617l_bool(Eq_x_0,Eq_x_1) = hAPP_f126445617l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_92,axiom,
    ( hAPP_f2129782055l_bool(Eq_x_0,Eq_x_1) = hAPP_f2129782055l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_93,axiom,
    ( hAPP_f1297673713l_bool(Eq_x_0,Eq_x_1) = hAPP_f1297673713l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_94,axiom,
    ( hAPP_f1261741735l_bool(Eq_x_0,Eq_x_1) = hAPP_f1261741735l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_95,axiom,
    ( hAPP_f1980787287l_bool(Eq_x_0,Eq_x_1) = hAPP_f1980787287l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_96,axiom,
    ( hAPP_P1085566419p_bool(Eq_x_0,Eq_x_1) = hAPP_P1085566419p_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_97,axiom,
    ( hAPP_P943837928l_bool(Eq_x_0,Eq_x_1) = hAPP_P943837928l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_98,axiom,
    ( hAPP_P1632759357r_bool(Eq_x_0,Eq_x_1) = hAPP_P1632759357r_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_99,axiom,
    ( hAPP_P1708370145l_bool(Eq_x_0,Eq_x_1) = hAPP_P1708370145l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_100,axiom,
    ( hAPP_P499022727r_bool(Eq_x_0,Eq_x_1) = hAPP_P499022727r_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_101,axiom,
    ( hAPP_P71593144l_bool(Eq_x_0,Eq_x_1) = hAPP_P71593144l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_102,axiom,
    ( hAPP_P2014166431r_bool(Eq_x_0,Eq_x_1) = hAPP_P2014166431r_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_103,axiom,
    ( hAPP_P476431815r_bool(Eq_x_0,Eq_x_1) = hAPP_P476431815r_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_104,axiom,
    ( hAPP_P92196306r_bool(Eq_x_0,Eq_x_1) = hAPP_P92196306r_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_105,axiom,
    ( hAPP_P449474095r_bool(Eq_x_0,Eq_x_1) = hAPP_P449474095r_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_106,axiom,
    ( hAPP_P748443392y_bool(Eq_x_0,Eq_x_1) = hAPP_P748443392y_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_107,axiom,
    ( hAPP_P1235399154l_bool(Eq_x_0,Eq_x_1) = hAPP_P1235399154l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_108,axiom,
    ( hAPP_P1680401186r_bool(Eq_x_0,Eq_x_1) = hAPP_P1680401186r_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_109,axiom,
    ( hAPP_P1384137393r_bool(Eq_x_0,Eq_x_1) = hAPP_P1384137393r_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_110,axiom,
    ( hAPP_P659547099r_bool(Eq_x_0,Eq_x_1) = hAPP_P659547099r_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_111,axiom,
    ( hAPP_P1574824955y_bool(Eq_x_0,Eq_x_1) = hAPP_P1574824955y_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_112,axiom,
    ( hAPP_P1907982426r_bool(Eq_x_0,Eq_x_1) = hAPP_P1907982426r_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_113,axiom,
    ( hAPP_P1187139874r_bool(Eq_x_0,Eq_x_1) = hAPP_P1187139874r_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_114,axiom,
    ( hAPP_P2118621157r_bool(Eq_x_0,Eq_x_1) = hAPP_P2118621157r_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_115,axiom,
    ( hAPP_P2115985549l_bool(Eq_x_0,Eq_x_1) = hAPP_P2115985549l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_116,axiom,
    ( hAPP_P2053453961y_bool(Eq_x_0,Eq_x_1) = hAPP_P2053453961y_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_117,axiom,
    ( hAPP_P828904212r_bool(Eq_x_0,Eq_x_1) = hAPP_P828904212r_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_118,axiom,
    ( hAPP_P1926698759r_bool(Eq_x_0,Eq_x_1) = hAPP_P1926698759r_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_119,axiom,
    ( hAPP_P929938951l_bool(Eq_x_0,Eq_x_1) = hAPP_P929938951l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_120,axiom,
    ( hAPP_P468446343l_bool(Eq_x_0,Eq_x_1) = hAPP_P468446343l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_121,axiom,
    ( hAPP_P159683425l_bool(Eq_x_0,Eq_x_1) = hAPP_P159683425l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_122,axiom,
    ( hAPP_P2077557811l_bool(Eq_x_0,Eq_x_1) = hAPP_P2077557811l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_123,axiom,
    ( hAPP_P504978887l_bool(Eq_x_0,Eq_x_1) = hAPP_P504978887l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_124,axiom,
    ( hAPP_P738987199l_bool(Eq_x_0,Eq_x_1) = hAPP_P738987199l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_125,axiom,
    ( hAPP_P282169671l_bool(Eq_x_0,Eq_x_1) = hAPP_P282169671l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_126,axiom,
    ( hAPP_P1333315679l_bool(Eq_x_0,Eq_x_1) = hAPP_P1333315679l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_127,axiom,
    ( hAPP_P1002912327r_bool(Eq_x_0,Eq_x_1) = hAPP_P1002912327r_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_128,axiom,
    ( hAPP_P824029447r_bool(Eq_x_0,Eq_x_1) = hAPP_P824029447r_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_129,axiom,
    ( hAPP_P27757617y_bool(Eq_x_0,Eq_x_1) = hAPP_P27757617y_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_130,axiom,
    ( hAPP_P2010574925r_bool(Eq_x_0,Eq_x_1) = hAPP_P2010574925r_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_131,axiom,
    ( hAPP_P124632071l_bool(Eq_x_0,Eq_x_1) = hAPP_P124632071l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_132,axiom,
    ( hAPP_P975284999r_bool(Eq_x_0,Eq_x_1) = hAPP_P975284999r_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_133,axiom,
    ( hAPP_P929449287r_bool(Eq_x_0,Eq_x_1) = hAPP_P929449287r_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_134,axiom,
    ( hAPP_P1240100515r_bool(Eq_x_0,Eq_x_1) = hAPP_P1240100515r_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_135,axiom,
    ( hAPP_P1183499705r_bool(Eq_x_0,Eq_x_1) = hAPP_P1183499705r_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_136,axiom,
    ( hAPP_P801803911r_bool(Eq_x_0,Eq_x_1) = hAPP_P801803911r_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_137,axiom,
    ( hAPP_P2123002749l_bool(Eq_x_0,Eq_x_1) = hAPP_P2123002749l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_138,axiom,
    ( hAPP_P1221872711l_bool(Eq_x_0,Eq_x_1) = hAPP_P1221872711l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_139,axiom,
    ( hAPP_P378063101l_bool(Eq_x_0,Eq_x_1) = hAPP_P378063101l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_140,axiom,
    ( hAPP_P2028072621l_bool(Eq_x_0,Eq_x_1) = hAPP_P2028072621l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_141,axiom,
    ( hAPP_l207779698on_val(Eq_x_0,Eq_x_1) = hAPP_l207779698on_val(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_142,axiom,
    ( hAPP_val_option_val(Eq_x_0,Eq_x_1) = hAPP_val_option_val(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_143,axiom,
    ( hAPP_e1659493427on_val(Eq_x_0,Eq_x_1) = hAPP_e1659493427on_val(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_144,axiom,
    ( hAPP_f1849790461on_val(Eq_x_0,Eq_x_1) = hAPP_f1849790461on_val(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_145,axiom,
    ( fun_up1149430426on_val(Eq_x_0,Eq_x_1,Eq_x_2) = fun_up1149430426on_val(Eq_y_0,Eq_y_1,Eq_y_2)
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_146,axiom,
    ( hAPP_f1727192346on_val(Eq_x_0,Eq_x_1) = hAPP_f1727192346on_val(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_147,axiom,
    ( hAPP_P604205461on_val(Eq_x_0,Eq_x_1) = hAPP_P604205461on_val(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_148,axiom,
    ( hAPP_P1870962205on_val(Eq_x_0,Eq_x_1) = hAPP_P1870962205on_val(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_149,axiom,
    ( hAPP_P1886180715on_val(Eq_x_0,Eq_x_1) = hAPP_P1886180715on_val(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_150,axiom,
    ( hAPP_P1303341961l_bool(Eq_x_0,Eq_x_1) = hAPP_P1303341961l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_151,axiom,
    ( red(Eq_x_0) = red(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_152,axiom,
    ( hAPP_l512744617ion_ty(Eq_x_0,Eq_x_1) = hAPP_l512744617ion_ty(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_153,axiom,
    ( fun_up424764369ion_ty(Eq_x_0,Eq_x_1,Eq_x_2) = fun_up424764369ion_ty(Eq_y_0,Eq_y_1,Eq_y_2)
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_154,axiom,
    ( hAPP_n546249108on_val(Eq_x_0,Eq_x_1) = hAPP_n546249108on_val(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_155,axiom,
    ( fun_up2041264236on_val(Eq_x_0,Eq_x_1,Eq_x_2) = fun_up2041264236on_val(Eq_y_0,Eq_y_1,Eq_y_2)
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_156,axiom,
    ( hAPP_P2094403585on_val(Eq_x_0,Eq_x_1) = hAPP_P2094403585on_val(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_157,axiom,
    ( fun_up204312361on_val(Eq_x_0,Eq_x_1,Eq_x_2) = fun_up204312361on_val(Eq_y_0,Eq_y_1,Eq_y_2)
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_158,axiom,
    ( hAPP_ty_option_ty(Eq_x_0,Eq_x_1) = hAPP_ty_option_ty(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_159,axiom,
    ( hAPP_P1510515380on_val(Eq_x_0,Eq_x_1) = hAPP_P1510515380on_val(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_160,axiom,
    ( typeSa1700205512_sconf(Eq_x_0,Eq_x_1) = typeSa1700205512_sconf(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_161,axiom,
    ( widen_2090681816t_char(Eq_x_0) = widen_2090681816t_char(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_162,axiom,
    ( hAPP_ty_fun_ty_bool(Eq_x_0,Eq_x_1) = hAPP_ty_fun_ty_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_163,axiom,
    ( hAPP_P2015431471on_val(Eq_x_0,Eq_x_1) = hAPP_P2015431471on_val(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_164,axiom,
    ( hAPP_P1526035745on_val(Eq_x_0,Eq_x_1) = hAPP_P1526035745on_val(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_165,axiom,
    ( hAPP_l1275479261on_val(Eq_x_0,Eq_x_1) = hAPP_l1275479261on_val(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_166,axiom,
    ( hAPP_P1963616220on_val(Eq_x_0,Eq_x_1) = hAPP_P1963616220on_val(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_167,axiom,
    ( hAPP_P658340954on_val(Eq_x_0,Eq_x_1) = hAPP_P658340954on_val(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_168,axiom,
    ( hAPP_P1758592847on_val(Eq_x_0,Eq_x_1) = hAPP_P1758592847on_val(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_169,axiom,
    ( hAPP_P2077211775on_val(Eq_x_0,Eq_x_1) = hAPP_P2077211775on_val(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_170,axiom,
    ( hAPP_P1486793863on_val(Eq_x_0,Eq_x_1) = hAPP_P1486793863on_val(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_171,axiom,
    ( hAPP_P719127871t_char(Eq_x_0,Eq_x_1) = hAPP_P719127871t_char(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_172,axiom,
    ( hAPP_l1873467853t_char(Eq_x_0,Eq_x_1) = hAPP_l1873467853t_char(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_173,axiom,
    ( hAPP_l14371579t_char(Eq_x_0,Eq_x_1) = hAPP_l14371579t_char(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_174,axiom,
    ( hAPP_l1859255743t_char(Eq_x_0,Eq_x_1) = hAPP_l1859255743t_char(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_175,axiom,
    ( hAPP_e1752110927t_char(Eq_x_0,Eq_x_1) = hAPP_e1752110927t_char(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_176,axiom,
    ( hAPP_P1392904962t_char(Eq_x_0,Eq_x_1) = hAPP_P1392904962t_char(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_177,axiom,
    ( hAPP_P767818445t_char(Eq_x_0,Eq_x_1) = hAPP_P767818445t_char(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_178,axiom,
    ( hAPP_P1539798428t_char(Eq_x_0,Eq_x_1) = hAPP_P1539798428t_char(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_179,axiom,
    ( hAPP_P1958775007t_char(Eq_x_0,Eq_x_1) = hAPP_P1958775007t_char(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_180,axiom,
    ( hAPP_l902950593t_char(Eq_x_0,Eq_x_1) = hAPP_l902950593t_char(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_181,axiom,
    ( hAPP_l309186817t_char(Eq_x_0,Eq_x_1) = hAPP_l309186817t_char(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_182,axiom,
    ( hAPP_l352172327t_char(Eq_x_0,Eq_x_1) = hAPP_l352172327t_char(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_183,axiom,
    ( hAPP_l277216047t_char(Eq_x_0,Eq_x_1) = hAPP_l277216047t_char(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_184,axiom,
    ( hAPP_P1423780764t_char(Eq_x_0,Eq_x_1) = hAPP_P1423780764t_char(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_185,axiom,
    ( hAPP_P1224499548t_char(Eq_x_0,Eq_x_1) = hAPP_P1224499548t_char(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_186,axiom,
    ( hAPP_P991802092t_char(Eq_x_0,Eq_x_1) = hAPP_P991802092t_char(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_187,axiom,
    ( hAPP_l1388836853t_char(Eq_x_0,Eq_x_1) = hAPP_l1388836853t_char(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_188,axiom,
    ( hAPP_l2048923787t_char(Eq_x_0,Eq_x_1) = hAPP_l2048923787t_char(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_189,axiom,
    ( hAPP_t1369077401t_char(Eq_x_0,Eq_x_1) = hAPP_t1369077401t_char(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_190,axiom,
    ( hAPP_l796364813t_char(Eq_x_0,Eq_x_1) = hAPP_l796364813t_char(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_191,axiom,
    ( hAPP_e952791821t_char(Eq_x_0,Eq_x_1) = hAPP_e952791821t_char(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_192,axiom,
    ( hAPP_P1661798543t_char(Eq_x_0,Eq_x_1) = hAPP_P1661798543t_char(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_193,axiom,
    ( hAPP_P976433298t_char(Eq_x_0,Eq_x_1) = hAPP_P976433298t_char(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_194,axiom,
    ( hAPP_P242904598t_char(Eq_x_0,Eq_x_1) = hAPP_P242904598t_char(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_195,axiom,
    ( hAPP_P1538518401al_val(Eq_x_0,Eq_x_1) = hAPP_P1538518401al_val(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_196,axiom,
    ( hAPP_b1229254591al_val(Eq_x_0,Eq_x_1) = hAPP_b1229254591al_val(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_197,axiom,
    ( hAPP_v1519391al_val(Eq_x_0,Eq_x_1) = hAPP_v1519391al_val(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_198,axiom,
    ( hAPP_v852496844al_val(Eq_x_0,Eq_x_1) = hAPP_v852496844al_val(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_199,axiom,
    ( hAPP_P929466802al_val(Eq_x_0,Eq_x_1) = hAPP_P929466802al_val(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_200,axiom,
    ( hAPP_P2123720426al_val(Eq_x_0,Eq_x_1) = hAPP_P2123720426al_val(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_201,axiom,
    ( hAPP_P1859316965t_char(Eq_x_0,Eq_x_1) = hAPP_P1859316965t_char(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_202,axiom,
    ( hAPP_P1333668416t_char(Eq_x_0,Eq_x_1) = hAPP_P1333668416t_char(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_203,axiom,
    ( hAPP_P777914897t_char(Eq_x_0,Eq_x_1) = hAPP_P777914897t_char(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_204,axiom,
    ( hAPP_P579374437t_char(Eq_x_0,Eq_x_1) = hAPP_P579374437t_char(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_205,axiom,
    ( hAPP_l1948972481har_ty(Eq_x_0,Eq_x_1) = hAPP_l1948972481har_ty(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_206,axiom,
    ( hAPP_t1875766236har_ty(Eq_x_0,Eq_x_1) = hAPP_t1875766236har_ty(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_207,axiom,
    ( hAPP_P827589667har_ty(Eq_x_0,Eq_x_1) = hAPP_P827589667har_ty(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_208,axiom,
    ( hAPP_t708040077har_ty(Eq_x_0,Eq_x_1) = hAPP_t708040077har_ty(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_209,axiom,
    ( hAPP_P91410073t_char(Eq_x_0,Eq_x_1) = hAPP_P91410073t_char(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_210,axiom,
    ( hAPP_P1342907945t_char(Eq_x_0,Eq_x_1) = hAPP_P1342907945t_char(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_211,axiom,
    ( hAPP_P1756548163t_char(Eq_x_0,Eq_x_1) = hAPP_P1756548163t_char(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_212,axiom,
    ( hAPP_P1247668062t_char(Eq_x_0,Eq_x_1) = hAPP_P1247668062t_char(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_213,axiom,
    ( hAPP_P1668407995t_char(Eq_x_0,Eq_x_1) = hAPP_P1668407995t_char(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_214,axiom,
    ( hAPP_P1220989409t_char(Eq_x_0,Eq_x_1) = hAPP_P1220989409t_char(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_215,axiom,
    ( hAPP_P1874979071al_val(Eq_x_0,Eq_x_1) = hAPP_P1874979071al_val(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_216,axiom,
    ( hAPP_P47773639al_val(Eq_x_0,Eq_x_1) = hAPP_P47773639al_val(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_217,axiom,
    ( hAPP_P1071727823t_char(Eq_x_0,Eq_x_1) = hAPP_P1071727823t_char(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_218,axiom,
    ( hAPP_P1657265855t_char(Eq_x_0,Eq_x_1) = hAPP_P1657265855t_char(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_219,axiom,
    ( hAPP_P1875010047on_val(Eq_x_0,Eq_x_1) = hAPP_P1875010047on_val(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_220,axiom,
    ( hAPP_P330218428on_val(Eq_x_0,Eq_x_1) = hAPP_P330218428on_val(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_221,axiom,
    ( hAPP_P265246237on_val(Eq_x_0,Eq_x_1) = hAPP_P265246237on_val(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_222,axiom,
    ( hAPP_P291613419on_val(Eq_x_0,Eq_x_1) = hAPP_P291613419on_val(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_223,axiom,
    ( hAPP_l1105836155t_char(Eq_x_0,Eq_x_1) = hAPP_l1105836155t_char(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_224,axiom,
    ( hAPP_l1648260346t_char(Eq_x_0,Eq_x_1) = hAPP_l1648260346t_char(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_225,axiom,
    ( hAPP_e1376201919t_char(Eq_x_0,Eq_x_1) = hAPP_e1376201919t_char(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_226,axiom,
    ( hAPP_e817857447t_char(Eq_x_0,Eq_x_1) = hAPP_e817857447t_char(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_227,axiom,
    ( hAPP_l2019537453t_char(Eq_x_0,Eq_x_1) = hAPP_l2019537453t_char(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_228,axiom,
    ( hAPP_l1883348915t_char(Eq_x_0,Eq_x_1) = hAPP_l1883348915t_char(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_229,axiom,
    ( hAPP_l1657578379har_ty(Eq_x_0,Eq_x_1) = hAPP_l1657578379har_ty(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_230,axiom,
    ( hAPP_l1294856089har_ty(Eq_x_0,Eq_x_1) = hAPP_l1294856089har_ty(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_231,axiom,
    ( hAPP_l1450984463t_char(Eq_x_0,Eq_x_1) = hAPP_l1450984463t_char(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_232,axiom,
    ( hAPP_l1334098948t_char(Eq_x_0,Eq_x_1) = hAPP_l1334098948t_char(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_233,axiom,
    ( hAPP_l103437071st_val(Eq_x_0,Eq_x_1) = hAPP_l103437071st_val(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_234,axiom,
    ( hAPP_l1249476511st_val(Eq_x_0,Eq_x_1) = hAPP_l1249476511st_val(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_235,axiom,
    ( hAPP_l1770520637ist_ty(Eq_x_0,Eq_x_1) = hAPP_l1770520637ist_ty(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_236,axiom,
    ( hAPP_l1319068228ist_ty(Eq_x_0,Eq_x_1) = hAPP_l1319068228ist_ty(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_237,axiom,
    ( hAPP_b1058859669op_bop(Eq_x_0,Eq_x_1) = hAPP_b1058859669op_bop(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_238,axiom,
    ( hAPP_b1909667208op_bop(Eq_x_0,Eq_x_1) = hAPP_b1909667208op_bop(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_239,axiom,
    ( hAPP_f1744304433on_val(Eq_x_0,Eq_x_1) = hAPP_f1744304433on_val(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_240,axiom,
    ( hAPP_f1146435765on_val(Eq_x_0,Eq_x_1) = hAPP_f1146435765on_val(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_241,axiom,
    ( hAPP_f1805337205on_val(Eq_x_0,Eq_x_1) = hAPP_f1805337205on_val(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_242,axiom,
    ( hAPP_f368284312on_val(Eq_x_0,Eq_x_1) = hAPP_f368284312on_val(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_243,axiom,
    ( hAPP_f864891091on_val(Eq_x_0,Eq_x_1) = hAPP_f864891091on_val(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_244,axiom,
    ( hAPP_f1741070310on_val(Eq_x_0,Eq_x_1) = hAPP_f1741070310on_val(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_245,axiom,
    ( hAPP_l1786340417on_val(Eq_x_0,Eq_x_1) = hAPP_l1786340417on_val(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_246,axiom,
    ( hAPP_f900686428on_val(Eq_x_0,Eq_x_1) = hAPP_f900686428on_val(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_247,axiom,
    ( hAPP_l208357873t_char(Eq_x_0,Eq_x_1) = hAPP_l208357873t_char(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_248,axiom,
    ( hAPP_l2100324114t_char(Eq_x_0,Eq_x_1) = hAPP_l2100324114t_char(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_249,axiom,
    ( hconf_97414254t_char(Eq_x_0) = hconf_97414254t_char(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_250,axiom,
    ( lconf_496643946t_char(Eq_x_0) = lconf_496643946t_char(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_251,axiom,
    ( hAPP_f1213370163y_bool(Eq_x_0,Eq_x_1) = hAPP_f1213370163y_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_252,axiom,
    ( hAPP_f2060496320y_bool(Eq_x_0,Eq_x_1) = hAPP_f2060496320y_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_253,axiom,
    ( hp(Eq_x_0) = hp(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_254,axiom,
    ( hAPP_P53416969l_bool(Eq_x_0,Eq_x_1) = hAPP_P53416969l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_255,axiom,
    ( hAPP_P1860450421l_bool(Eq_x_0,Eq_x_1) = hAPP_P1860450421l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_256,axiom,
    ( hAPP_P153687689l_bool(Eq_x_0,Eq_x_1) = hAPP_P153687689l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_257,axiom,
    ( hAPP_P569585933l_bool(Eq_x_0,Eq_x_1) = hAPP_P569585933l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_258,axiom,
    ( hAPP_P1503283977l_bool(Eq_x_0,Eq_x_1) = hAPP_P1503283977l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_259,axiom,
    ( hAPP_P1033205013l_bool(Eq_x_0,Eq_x_1) = hAPP_P1033205013l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_260,axiom,
    ( hAPP_P1019319281l_bool(Eq_x_0,Eq_x_1) = hAPP_P1019319281l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_261,axiom,
    ( hAPP_P1034346913l_bool(Eq_x_0,Eq_x_1) = hAPP_P1034346913l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_262,axiom,
    ( hAPP_P1953134729l_bool(Eq_x_0,Eq_x_1) = hAPP_P1953134729l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_263,axiom,
    ( hAPP_P1679186017l_bool(Eq_x_0,Eq_x_1) = hAPP_P1679186017l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_264,axiom,
    ( hAPP_P1878549513l_bool(Eq_x_0,Eq_x_1) = hAPP_P1878549513l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_265,axiom,
    ( hAPP_P2015860941l_bool(Eq_x_0,Eq_x_1) = hAPP_P2015860941l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_266,axiom,
    ( hAPP_P998768845l_bool(Eq_x_0,Eq_x_1) = hAPP_P998768845l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_267,axiom,
    ( hAPP_P1217996045l_bool(Eq_x_0,Eq_x_1) = hAPP_P1217996045l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_268,axiom,
    ( hAPP_P1653675595l_bool(Eq_x_0,Eq_x_1) = hAPP_P1653675595l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_269,axiom,
    ( hAPP_P530382601l_bool(Eq_x_0,Eq_x_1) = hAPP_P530382601l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_270,axiom,
    ( hAPP_P483670507l_bool(Eq_x_0,Eq_x_1) = hAPP_P483670507l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_271,axiom,
    ( hAPP_P1472618637l_bool(Eq_x_0,Eq_x_1) = hAPP_P1472618637l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_272,axiom,
    ( hAPP_P1198052655l_bool(Eq_x_0,Eq_x_1) = hAPP_P1198052655l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_273,axiom,
    ( hAPP_P845017029l_bool(Eq_x_0,Eq_x_1) = hAPP_P845017029l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_274,axiom,
    ( hAPP_P1517699917l_bool(Eq_x_0,Eq_x_1) = hAPP_P1517699917l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_275,axiom,
    ( hAPP_P1327510541l_bool(Eq_x_0,Eq_x_1) = hAPP_P1327510541l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_276,axiom,
    ( hAPP_P1293136973l_bool(Eq_x_0,Eq_x_1) = hAPP_P1293136973l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_277,axiom,
    ( hAPP_P1180869721l_bool(Eq_x_0,Eq_x_1) = hAPP_P1180869721l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_278,axiom,
    ( hAPP_P126004409l_bool(Eq_x_0,Eq_x_1) = hAPP_P126004409l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_279,axiom,
    ( hAPP_P205570445l_bool(Eq_x_0,Eq_x_1) = hAPP_P205570445l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_280,axiom,
    ( hAPP_P7095645l_bool(Eq_x_0,Eq_x_1) = hAPP_P7095645l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_281,axiom,
    ( hAPP_v834067052t_char(Eq_x_0,Eq_x_1) = hAPP_v834067052t_char(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_282,axiom,
    ( lAss_list_char(Eq_x_0,Eq_x_1) = lAss_list_char(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_283,axiom,
    ( seq_list_char(Eq_x_0,Eq_x_1) = seq_list_char(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_284,axiom,
    ( block_list_char(Eq_x_0,Eq_x_1,Eq_x_2) = block_list_char(Eq_y_0,Eq_y_1,Eq_y_2)
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_285,axiom,
    ( hAPP_f592397849l_bool(Eq_x_0,Eq_x_1) = hAPP_f592397849l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_286,axiom,
    ( hAPP_f1977633121l_bool(Eq_x_0,Eq_x_1) = hAPP_f1977633121l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_287,axiom,
    ( hAPP_f1452292669l_bool(Eq_x_0,Eq_x_1) = hAPP_f1452292669l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_288,axiom,
    ( hAPP_f1523875321l_bool(Eq_x_0,Eq_x_1) = hAPP_f1523875321l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_289,axiom,
    ( hAPP_f348318673l_bool(Eq_x_0,Eq_x_1) = hAPP_f348318673l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_290,axiom,
    ( hAPP_f857351829l_bool(Eq_x_0,Eq_x_1) = hAPP_f857351829l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_291,axiom,
    ( hAPP_f838396643l_bool(Eq_x_0,Eq_x_1) = hAPP_f838396643l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_292,axiom,
    ( hAPP_f550652027l_bool(Eq_x_0,Eq_x_1) = hAPP_f550652027l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_293,axiom,
    ( cOMBS_570216337l_bool(Eq_x_0,Eq_x_1) = cOMBS_570216337l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_294,axiom,
    ( hAPP_f2121594859l_bool(Eq_x_0,Eq_x_1) = hAPP_f2121594859l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_295,axiom,
    ( dom_list_char_val(Eq_x_0) = dom_list_char_val(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_296,axiom,
    ( hAPP_f363827556r_bool(Eq_x_0,Eq_x_1) = hAPP_f363827556r_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_297,axiom,
    ( hAPP_nat_option_nat(Eq_x_0,Eq_x_1) = hAPP_nat_option_nat(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_298,axiom,
    ( produc288369490r_bool(Eq_x_0) = produc288369490r_bool(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_299,axiom,
    ( hAPP_l214204733r_bool(Eq_x_0,Eq_x_1) = hAPP_l214204733r_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_300,axiom,
    ( produc2116052801r_bool(Eq_x_0) = produc2116052801r_bool(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_301,axiom,
    ( hAPP_l24694616r_bool(Eq_x_0,Eq_x_1) = hAPP_l24694616r_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_302,axiom,
    ( produc266042248r_bool(Eq_x_0) = produc266042248r_bool(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_303,axiom,
    ( hAPP_l1342015621r_bool(Eq_x_0,Eq_x_1) = hAPP_l1342015621r_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_304,axiom,
    ( produc1588781647r_bool(Eq_x_0) = produc1588781647r_bool(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_305,axiom,
    ( hAPP_l2140727500r_bool(Eq_x_0,Eq_x_1) = hAPP_l2140727500r_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_306,axiom,
    ( produc550034914r_bool(Eq_x_0) = produc550034914r_bool(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_307,axiom,
    ( hAPP_l1062423959r_bool(Eq_x_0,Eq_x_1) = hAPP_l1062423959r_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_308,axiom,
    ( produc156891095r_bool(Eq_x_0) = produc156891095r_bool(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_309,axiom,
    ( hAPP_l1987619678r_bool(Eq_x_0,Eq_x_1) = hAPP_l1987619678r_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_310,axiom,
    ( produc1574020101r_bool(Eq_x_0) = produc1574020101r_bool(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_311,axiom,
    ( hAPP_l217977712r_bool(Eq_x_0,Eq_x_1) = hAPP_l217977712r_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_312,axiom,
    ( produc1838470831l_bool(Eq_x_0) = produc1838470831l_bool(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_313,axiom,
    ( hAPP_l146377954l_bool(Eq_x_0,Eq_x_1) = hAPP_l146377954l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_314,axiom,
    ( produc2053127004l_bool(Eq_x_0) = produc2053127004l_bool(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_315,axiom,
    ( hAPP_P1183008383l_bool(Eq_x_0,Eq_x_1) = hAPP_P1183008383l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_316,axiom,
    ( produc886919678l_bool(Eq_x_0) = produc886919678l_bool(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_317,axiom,
    ( hAPP_v1392248405l_bool(Eq_x_0,Eq_x_1) = hAPP_v1392248405l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_318,axiom,
    ( produc1555310053l_bool(Eq_x_0) = produc1555310053l_bool(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_319,axiom,
    ( hAPP_b97269396l_bool(Eq_x_0,Eq_x_1) = hAPP_b97269396l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_320,axiom,
    ( produc95371820r_bool(Eq_x_0) = produc95371820r_bool(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_321,axiom,
    ( hAPP_l1361600383r_bool(Eq_x_0,Eq_x_1) = hAPP_l1361600383r_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_322,axiom,
    ( produc481748255l_bool(Eq_x_0) = produc481748255l_bool(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_323,axiom,
    ( hAPP_l465799708l_bool(Eq_x_0,Eq_x_1) = hAPP_l465799708l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_324,axiom,
    ( produc2062775566l_bool(Eq_x_0) = produc2062775566l_bool(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_325,axiom,
    ( hAPP_f1175813647l_bool(Eq_x_0,Eq_x_1) = hAPP_f1175813647l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_326,axiom,
    ( produc1911975310l_bool(Eq_x_0) = produc1911975310l_bool(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_327,axiom,
    ( hAPP_e1833980889l_bool(Eq_x_0,Eq_x_1) = hAPP_e1833980889l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_328,axiom,
    ( produc1159035454l_bool(Eq_x_0) = produc1159035454l_bool(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_329,axiom,
    ( hAPP_P1116729363l_bool(Eq_x_0,Eq_x_1) = hAPP_P1116729363l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_330,axiom,
    ( map_ad325961431ar_val(Eq_x_0,Eq_x_1) = map_ad325961431ar_val(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_331,axiom,
    ( lex_pr1541028704on_val(Eq_x_0,Eq_x_1) = lex_pr1541028704on_val(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_332,axiom,
    ( hAPP_P240409993l_bool(Eq_x_0,Eq_x_1) = hAPP_P240409993l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_333,axiom,
    ( lex_pr69619957on_val(Eq_x_0,Eq_x_1) = lex_pr69619957on_val(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_334,axiom,
    ( hAPP_P1862681481l_bool(Eq_x_0,Eq_x_1) = hAPP_P1862681481l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_335,axiom,
    ( lex_pr1787105337t_char(Eq_x_0,Eq_x_1) = lex_pr1787105337t_char(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_336,axiom,
    ( hAPP_P1313790473l_bool(Eq_x_0,Eq_x_1) = hAPP_P1313790473l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_337,axiom,
    ( lex_pr213428520t_char(Eq_x_0,Eq_x_1) = lex_pr213428520t_char(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_338,axiom,
    ( hAPP_P396425609l_bool(Eq_x_0,Eq_x_1) = hAPP_P396425609l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_339,axiom,
    ( lex_pr167435119t_char(Eq_x_0,Eq_x_1) = lex_pr167435119t_char(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_340,axiom,
    ( hAPP_P1390376713l_bool(Eq_x_0,Eq_x_1) = hAPP_P1390376713l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_341,axiom,
    ( lex_pr1668767798t_char(Eq_x_0,Eq_x_1) = lex_pr1668767798t_char(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_342,axiom,
    ( hAPP_P2139822957l_bool(Eq_x_0,Eq_x_1) = hAPP_P2139822957l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_343,axiom,
    ( lex_pr307591827t_char(Eq_x_0,Eq_x_1) = lex_pr307591827t_char(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_344,axiom,
    ( hAPP_P409642305l_bool(Eq_x_0,Eq_x_1) = hAPP_P409642305l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_345,axiom,
    ( lex_pr1588300168t_char(Eq_x_0,Eq_x_1) = lex_pr1588300168t_char(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_346,axiom,
    ( hAPP_P325013257l_bool(Eq_x_0,Eq_x_1) = hAPP_P325013257l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_347,axiom,
    ( lex_pr1876288492t_char(Eq_x_0,Eq_x_1) = lex_pr1876288492t_char(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_348,axiom,
    ( hAPP_P274544981l_bool(Eq_x_0,Eq_x_1) = hAPP_P274544981l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_349,axiom,
    ( lex_pr2110711565on_val(Eq_x_0,Eq_x_1) = lex_pr2110711565on_val(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_350,axiom,
    ( hAPP_P124661l_bool(Eq_x_0,Eq_x_1) = hAPP_P124661l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_351,axiom,
    ( lex_prod_val_val(Eq_x_0,Eq_x_1) = lex_prod_val_val(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_352,axiom,
    ( hAPP_P982127993l_bool(Eq_x_0,Eq_x_1) = hAPP_P982127993l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_353,axiom,
    ( lex_pr1932514710al_val(Eq_x_0,Eq_x_1) = lex_pr1932514710al_val(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_354,axiom,
    ( hAPP_P786771093l_bool(Eq_x_0,Eq_x_1) = hAPP_P786771093l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_355,axiom,
    ( lex_pr280535005t_char(Eq_x_0,Eq_x_1) = lex_pr280535005t_char(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_356,axiom,
    ( hAPP_P502294281l_bool(Eq_x_0,Eq_x_1) = hAPP_P502294281l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_357,axiom,
    ( lex_pr1971266694on_val(Eq_x_0,Eq_x_1) = lex_pr1971266694on_val(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_358,axiom,
    ( lex_pr731210613on_val(Eq_x_0,Eq_x_1) = lex_pr731210613on_val(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_359,axiom,
    ( hAPP_P1362631157l_bool(Eq_x_0,Eq_x_1) = hAPP_P1362631157l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_360,axiom,
    ( lex_pr1038007919on_val(Eq_x_0,Eq_x_1) = lex_pr1038007919on_val(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_361,axiom,
    ( hAPP_f1484794973r_bool(Eq_x_0,Eq_x_1) = hAPP_f1484794973r_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_362,axiom,
    ( hAPP_f895126887r_bool(Eq_x_0,Eq_x_1) = hAPP_f895126887r_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_363,axiom,
    ( hAPP_f252398939r_bool(Eq_x_0,Eq_x_1) = hAPP_f252398939r_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_364,axiom,
    ( hAPP_f952817385r_bool(Eq_x_0,Eq_x_1) = hAPP_f952817385r_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_365,axiom,
    ( hAPP_f1697332217r_bool(Eq_x_0,Eq_x_1) = hAPP_f1697332217r_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_366,axiom,
    ( hAPP_f102021095r_bool(Eq_x_0,Eq_x_1) = hAPP_f102021095r_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_367,axiom,
    ( hAPP_f1613448899r_bool(Eq_x_0,Eq_x_1) = hAPP_f1613448899r_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_368,axiom,
    ( hAPP_f1634841927l_bool(Eq_x_0,Eq_x_1) = hAPP_f1634841927l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_369,axiom,
    ( hAPP_f1525114763l_bool(Eq_x_0,Eq_x_1) = hAPP_f1525114763l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_370,axiom,
    ( hAPP_f1534412387l_bool(Eq_x_0,Eq_x_1) = hAPP_f1534412387l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_371,axiom,
    ( hAPP_f340876351l_bool(Eq_x_0,Eq_x_1) = hAPP_f340876351l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_372,axiom,
    ( hAPP_f2132060507r_bool(Eq_x_0,Eq_x_1) = hAPP_f2132060507r_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_373,axiom,
    ( hAPP_f1443410953l_bool(Eq_x_0,Eq_x_1) = hAPP_f1443410953l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_374,axiom,
    ( hAPP_f1930574389l_bool(Eq_x_0,Eq_x_1) = hAPP_f1930574389l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_375,axiom,
    ( hAPP_f635218277l_bool(Eq_x_0,Eq_x_1) = hAPP_f635218277l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_376,axiom,
    ( hAPP_n215258509l_bool(Eq_x_0,Eq_x_1) = hAPP_n215258509l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_377,axiom,
    ( dom_na996029170on_val(Eq_x_0) = dom_na996029170on_val(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_378,axiom,
    ( map_ad61982421on_val(Eq_x_0,Eq_x_1) = map_ad61982421on_val(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_379,axiom,
    ( hAPP_l1903254203l_bool(Eq_x_0,Eq_x_1) = hAPP_l1903254203l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_380,axiom,
    ( hAPP_f46308763ion_ty(Eq_x_0,Eq_x_1) = hAPP_f46308763ion_ty(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_381,axiom,
    ( hAPP_P1228500987ion_ty(Eq_x_0,Eq_x_1) = hAPP_P1228500987ion_ty(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_382,axiom,
    ( produc1675615144ion_ty(Eq_x_0) = produc1675615144ion_ty(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_383,axiom,
    ( hAPP_b589554111l_bool(Eq_x_0,Eq_x_1) = hAPP_b589554111l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_384,axiom,
    ( hAPP_f1863694447l_bool(Eq_x_0,Eq_x_1) = hAPP_f1863694447l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_385,axiom,
    ( hAPP_f1734879897l_bool(Eq_x_0,Eq_x_1) = hAPP_f1734879897l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_386,axiom,
    ( hAPP_f555424277l_bool(Eq_x_0,Eq_x_1) = hAPP_f555424277l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_387,axiom,
    ( dom_Pr695701035ar_val(Eq_x_0) = dom_Pr695701035ar_val(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_388,axiom,
    ( map_ad1185064968ar_val(Eq_x_0,Eq_x_1) = map_ad1185064968ar_val(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_389,axiom,
    ( dom_list_char_ty(Eq_x_0) = dom_list_char_ty(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_390,axiom,
    ( map_add_list_char_ty(Eq_x_0,Eq_x_1) = map_add_list_char_ty(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_391,axiom,
    ( hAPP_l2000496933ion_ty(Eq_x_0,Eq_x_1) = hAPP_l2000496933ion_ty(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_392,axiom,
    ( hAPP_f652398900ion_ty(Eq_x_0,Eq_x_1) = hAPP_f652398900ion_ty(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_393,axiom,
    ( hAPP_f69964139ion_ty(Eq_x_0,Eq_x_1) = hAPP_f69964139ion_ty(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_394,axiom,
    ( hAPP_f7643013ion_ty(Eq_x_0,Eq_x_1) = hAPP_f7643013ion_ty(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_395,axiom,
    ( hAPP_f802560783ion_ty(Eq_x_0,Eq_x_1) = hAPP_f802560783ion_ty(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_396,axiom,
    ( hAPP_f2057883639l_bool(Eq_x_0,Eq_x_1) = hAPP_f2057883639l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_397,axiom,
    ( hAPP_f1050935001l_bool(Eq_x_0,Eq_x_1) = hAPP_f1050935001l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_398,axiom,
    ( hAPP_f1363667773l_bool(Eq_x_0,Eq_x_1) = hAPP_f1363667773l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_399,axiom,
    ( oconf_1869808039t_char(Eq_x_0,Eq_x_1) = oconf_1869808039t_char(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_400,axiom,
    ( redp(Eq_x_0,Eq_x_1,Eq_x_2) = redp(Eq_y_0,Eq_y_1,Eq_y_2)
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_401,axiom,
    ( transi2024712006on_val(Eq_x_0) = transi2024712006on_val(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_402,axiom,
    ( ord_le2092826700r_bool(Eq_x_0) = ord_le2092826700r_bool(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_403,axiom,
    ( hAPP_o538043682on_val(Eq_x_0,Eq_x_1) = hAPP_o538043682on_val(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_404,axiom,
    ( hAPP_f1933376467r_bool(Eq_x_0,Eq_x_1) = hAPP_f1933376467r_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_405,axiom,
    ( hAPP_f1853572245r_bool(Eq_x_0,Eq_x_1) = hAPP_f1853572245r_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_406,axiom,
    ( ord_le1987888477r_bool(Eq_x_0) = ord_le1987888477r_bool(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_407,axiom,
    ( hAPP_f1020753317r_bool(Eq_x_0,Eq_x_1) = hAPP_f1020753317r_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_408,axiom,
    ( hAPP_f1666729379r_bool(Eq_x_0,Eq_x_1) = hAPP_f1666729379r_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_409,axiom,
    ( ord_le117566470r_bool(Eq_x_0) = ord_le117566470r_bool(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_410,axiom,
    ( hAPP_f677078775l_bool(Eq_x_0,Eq_x_1) = hAPP_f677078775l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_411,axiom,
    ( hAPP_f1856968213l_bool(Eq_x_0,Eq_x_1) = hAPP_f1856968213l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_412,axiom,
    ( ord_le1438917387l_bool(Eq_x_0) = ord_le1438917387l_bool(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_413,axiom,
    ( hAPP_f1722879237t_bool(Eq_x_0,Eq_x_1) = hAPP_f1722879237t_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_414,axiom,
    ( hAPP_f800510211t_bool(Eq_x_0,Eq_x_1) = hAPP_f800510211t_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_415,axiom,
    ( ord_le1568362934t_bool(Eq_x_0) = ord_le1568362934t_bool(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_416,axiom,
    ( hAPP_f1876889431r_bool(Eq_x_0,Eq_x_1) = hAPP_f1876889431r_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_417,axiom,
    ( hAPP_f112056853r_bool(Eq_x_0,Eq_x_1) = hAPP_f112056853r_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_418,axiom,
    ( ord_le640323803r_bool(Eq_x_0) = ord_le640323803r_bool(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_419,axiom,
    ( hAPP_f522372661r_bool(Eq_x_0,Eq_x_1) = hAPP_f522372661r_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_420,axiom,
    ( hAPP_f1371002581r_bool(Eq_x_0,Eq_x_1) = hAPP_f1371002581r_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_421,axiom,
    ( hAPP_f1720452391l_bool(Eq_x_0,Eq_x_1) = hAPP_f1720452391l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_422,axiom,
    ( hAPP_f2036784149l_bool(Eq_x_0,Eq_x_1) = hAPP_f2036784149l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_423,axiom,
    ( ord_le1776148979l_bool(Eq_x_0) = ord_le1776148979l_bool(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_424,axiom,
    ( hAPP_f894608603t_bool(Eq_x_0,Eq_x_1) = hAPP_f894608603t_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_425,axiom,
    ( hAPP_f1611569977l_bool(Eq_x_0,Eq_x_1) = hAPP_f1611569977l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_426,axiom,
    ( hAPP_f1677329295l_bool(Eq_x_0,Eq_x_1) = hAPP_f1677329295l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_427,axiom,
    ( hAPP_f489569861t_bool(Eq_x_0,Eq_x_1) = hAPP_f489569861t_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_428,axiom,
    ( hAPP_o1566711458t_bool(Eq_x_0,Eq_x_1) = hAPP_o1566711458t_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_429,axiom,
    ( collect_nat(Eq_x_0) = collect_nat(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_430,axiom,
    ( hAPP_f1861125939r_bool(Eq_x_0,Eq_x_1) = hAPP_f1861125939r_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_431,axiom,
    ( hAPP_f926979333l_bool(Eq_x_0,Eq_x_1) = hAPP_f926979333l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_432,axiom,
    ( hAPP_f396807521l_bool(Eq_x_0,Eq_x_1) = hAPP_f396807521l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_433,axiom,
    ( hAPP_f399018025r_bool(Eq_x_0,Eq_x_1) = hAPP_f399018025r_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_434,axiom,
    ( hAPP_o453398608r_bool(Eq_x_0,Eq_x_1) = hAPP_o453398608r_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_435,axiom,
    ( collect_list_char(Eq_x_0) = collect_list_char(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_436,axiom,
    ( hAPP_o1269033393on_val(Eq_x_0,Eq_x_1) = hAPP_o1269033393on_val(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_437,axiom,
    ( hAPP_o1576581476on_val(Eq_x_0,Eq_x_1) = hAPP_o1576581476on_val(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_438,axiom,
    ( hAPP_o1240645474ion_ty(Eq_x_0,Eq_x_1) = hAPP_o1240645474ion_ty(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_439,axiom,
    ( hAPP_option_val_val(Eq_x_0,Eq_x_1) = hAPP_option_val_val(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_440,axiom,
    ( transi374442731on_val(Eq_x_0) = transi374442731on_val(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_441,axiom,
    ( transi1395422419t_char(Eq_x_0) = transi1395422419t_char(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_442,axiom,
    ( transi935034983cl_val(Eq_x_0) = transi935034983cl_val(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_443,axiom,
    ( has_fi1183600461t_char(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = has_fi1183600461t_char(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_444,axiom,
    ( hAPP_option_nat_nat(Eq_x_0,Eq_x_1) = hAPP_option_nat_nat(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_445,axiom,
    ( hAPP_o1977518472on_val(Eq_x_0,Eq_x_1) = hAPP_o1977518472on_val(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_446,axiom,
    ( hAPP_option_ty_ty(Eq_x_0,Eq_x_1) = hAPP_option_ty_ty(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_447,axiom,
    ( hAPP_o285151112r_bool(Eq_x_0,Eq_x_1) = hAPP_o285151112r_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_448,axiom,
    ( transi198989188t_char(Eq_x_0) = transi198989188t_char(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_449,axiom,
    ( transi772168185t_char(Eq_x_0) = transi772168185t_char(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_450,axiom,
    ( transi2005320128t_char(Eq_x_0) = transi2005320128t_char(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_451,axiom,
    ( transi1123801095t_char(Eq_x_0) = transi1123801095t_char(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_452,axiom,
    ( transi1789604888t_char(Eq_x_0) = transi1789604888t_char(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_453,axiom,
    ( transi1257872013t_char(Eq_x_0) = transi1257872013t_char(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_454,axiom,
    ( transi122195895t_char(Eq_x_0) = transi122195895t_char(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_455,axiom,
    ( transi208336786on_val(Eq_x_0) = transi208336786on_val(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_456,axiom,
    ( transi1423755450al_val(Eq_x_0) = transi1423755450al_val(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_457,axiom,
    ( transi1906258203al_val(Eq_x_0) = transi1906258203al_val(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_458,axiom,
    ( transi1095029602t_char(Eq_x_0) = transi1095029602t_char(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_459,axiom,
    ( transi61620055on_val(Eq_x_0) = transi61620055on_val(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_460,axiom,
    ( transi921647814on_val(Eq_x_0) = transi921647814on_val(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_461,axiom,
    ( transi910771962on_val(Eq_x_0) = transi910771962on_val(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_462,axiom,
    ( hAPP_f1563448447r_bool(Eq_x_0,Eq_x_1) = hAPP_f1563448447r_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_463,axiom,
    ( hAPP_f1937828171l_bool(Eq_x_0,Eq_x_1) = hAPP_f1937828171l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_464,axiom,
    ( hAPP_f1365840271l_bool(Eq_x_0,Eq_x_1) = hAPP_f1365840271l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_465,axiom,
    ( hAPP_f1868463117l_bool(Eq_x_0,Eq_x_1) = hAPP_f1868463117l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_466,axiom,
    ( hAPP_f732843907r_bool(Eq_x_0,Eq_x_1) = hAPP_f732843907r_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_467,axiom,
    ( hAPP_f521496323r_bool(Eq_x_0,Eq_x_1) = hAPP_f521496323r_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_468,axiom,
    ( hAPP_f1209019955r_bool(Eq_x_0,Eq_x_1) = hAPP_f1209019955r_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_469,axiom,
    ( ord_le2008677227r_bool(Eq_x_0) = ord_le2008677227r_bool(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_470,axiom,
    ( hAPP_f953097879r_bool(Eq_x_0,Eq_x_1) = hAPP_f953097879r_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_471,axiom,
    ( hAPP_f937861397l_bool(Eq_x_0,Eq_x_1) = hAPP_f937861397l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_472,axiom,
    ( hAPP_f1407048615l_bool(Eq_x_0,Eq_x_1) = hAPP_f1407048615l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_473,axiom,
    ( hAPP_f333583909l_bool(Eq_x_0,Eq_x_1) = hAPP_f333583909l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_474,axiom,
    ( hAPP_f29105311r_bool(Eq_x_0,Eq_x_1) = hAPP_f29105311r_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_475,axiom,
    ( hAPP_f1500560577r_bool(Eq_x_0,Eq_x_1) = hAPP_f1500560577r_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_476,axiom,
    ( hAPP_f2025561243r_bool(Eq_x_0,Eq_x_1) = hAPP_f2025561243r_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_477,axiom,
    ( ord_le735260024r_bool(Eq_x_0) = ord_le735260024r_bool(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_478,axiom,
    ( hAPP_f32926423l_bool(Eq_x_0,Eq_x_1) = hAPP_f32926423l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_479,axiom,
    ( hAPP_f810261999l_bool(Eq_x_0,Eq_x_1) = hAPP_f810261999l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_480,axiom,
    ( hAPP_f869803751l_bool(Eq_x_0,Eq_x_1) = hAPP_f869803751l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_481,axiom,
    ( hAPP_f1082373989l_bool(Eq_x_0,Eq_x_1) = hAPP_f1082373989l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_482,axiom,
    ( hAPP_f1427871743l_bool(Eq_x_0,Eq_x_1) = hAPP_f1427871743l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_483,axiom,
    ( hAPP_f2052909183l_bool(Eq_x_0,Eq_x_1) = hAPP_f2052909183l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_484,axiom,
    ( hAPP_f447422815l_bool(Eq_x_0,Eq_x_1) = hAPP_f447422815l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_485,axiom,
    ( ord_le1270183657l_bool(Eq_x_0) = ord_le1270183657l_bool(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_486,axiom,
    ( hAPP_f254182519r_bool(Eq_x_0,Eq_x_1) = hAPP_f254182519r_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_487,axiom,
    ( hAPP_f144783951l_bool(Eq_x_0,Eq_x_1) = hAPP_f144783951l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_488,axiom,
    ( hAPP_f247798919l_bool(Eq_x_0,Eq_x_1) = hAPP_f247798919l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_489,axiom,
    ( hAPP_f1764180741l_bool(Eq_x_0,Eq_x_1) = hAPP_f1764180741l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_490,axiom,
    ( hAPP_f1032444159r_bool(Eq_x_0,Eq_x_1) = hAPP_f1032444159r_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_491,axiom,
    ( hAPP_f447563647r_bool(Eq_x_0,Eq_x_1) = hAPP_f447563647r_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_492,axiom,
    ( hAPP_f344506159r_bool(Eq_x_0,Eq_x_1) = hAPP_f344506159r_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_493,axiom,
    ( ord_le1871967977r_bool(Eq_x_0) = ord_le1871967977r_bool(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_494,axiom,
    ( hAPP_f1135930489l_bool(Eq_x_0,Eq_x_1) = hAPP_f1135930489l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_495,axiom,
    ( hAPP_f1510763001l_bool(Eq_x_0,Eq_x_1) = hAPP_f1510763001l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_496,axiom,
    ( hAPP_f2026692601l_bool(Eq_x_0,Eq_x_1) = hAPP_f2026692601l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_497,axiom,
    ( hAPP_f1204100177l_bool(Eq_x_0,Eq_x_1) = hAPP_f1204100177l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_498,axiom,
    ( hAPP_f2095325577l_bool(Eq_x_0,Eq_x_1) = hAPP_f2095325577l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_499,axiom,
    ( hAPP_f1089788553l_bool(Eq_x_0,Eq_x_1) = hAPP_f1089788553l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_500,axiom,
    ( hAPP_f1200025813l_bool(Eq_x_0,Eq_x_1) = hAPP_f1200025813l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_501,axiom,
    ( ord_le1050317687l_bool(Eq_x_0) = ord_le1050317687l_bool(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_502,axiom,
    ( hAPP_f108089737r_bool(Eq_x_0,Eq_x_1) = hAPP_f108089737r_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_503,axiom,
    ( hAPP_f380623487l_bool(Eq_x_0,Eq_x_1) = hAPP_f380623487l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_504,axiom,
    ( hAPP_f1174637065l_bool(Eq_x_0,Eq_x_1) = hAPP_f1174637065l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_505,axiom,
    ( hAPP_f165071409l_bool(Eq_x_0,Eq_x_1) = hAPP_f165071409l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_506,axiom,
    ( hAPP_f2059406941r_bool(Eq_x_0,Eq_x_1) = hAPP_f2059406941r_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_507,axiom,
    ( hAPP_f1820115955r_bool(Eq_x_0,Eq_x_1) = hAPP_f1820115955r_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_508,axiom,
    ( hAPP_f2091926485r_bool(Eq_x_0,Eq_x_1) = hAPP_f2091926485r_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_509,axiom,
    ( ord_le176694639r_bool(Eq_x_0) = ord_le176694639r_bool(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_510,axiom,
    ( ord_le715555971r_bool(Eq_x_0) = ord_le715555971r_bool(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_511,axiom,
    ( hAPP_f842743203r_bool(Eq_x_0,Eq_x_1) = hAPP_f842743203r_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_512,axiom,
    ( hAPP_f1847120981l_bool(Eq_x_0,Eq_x_1) = hAPP_f1847120981l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_513,axiom,
    ( hAPP_f162154931l_bool(Eq_x_0,Eq_x_1) = hAPP_f162154931l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_514,axiom,
    ( hAPP_f935003377l_bool(Eq_x_0,Eq_x_1) = hAPP_f935003377l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_515,axiom,
    ( hAPP_f1749915625r_bool(Eq_x_0,Eq_x_1) = hAPP_f1749915625r_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_516,axiom,
    ( hAPP_f197435839r_bool(Eq_x_0,Eq_x_1) = hAPP_f197435839r_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_517,axiom,
    ( hAPP_f306469557r_bool(Eq_x_0,Eq_x_1) = hAPP_f306469557r_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_518,axiom,
    ( ord_le458107652r_bool(Eq_x_0) = ord_le458107652r_bool(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_519,axiom,
    ( ord_le1734858744r_bool(Eq_x_0) = ord_le1734858744r_bool(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_520,axiom,
    ( hAPP_f304993943r_bool(Eq_x_0,Eq_x_1) = hAPP_f304993943r_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_521,axiom,
    ( hAPP_f251669717l_bool(Eq_x_0,Eq_x_1) = hAPP_f251669717l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_522,axiom,
    ( hAPP_f614662951l_bool(Eq_x_0,Eq_x_1) = hAPP_f614662951l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_523,axiom,
    ( hAPP_f1817350437l_bool(Eq_x_0,Eq_x_1) = hAPP_f1817350437l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_524,axiom,
    ( hAPP_f1957374161r_bool(Eq_x_0,Eq_x_1) = hAPP_f1957374161r_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_525,axiom,
    ( hAPP_f2133563379r_bool(Eq_x_0,Eq_x_1) = hAPP_f2133563379r_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_526,axiom,
    ( hAPP_f719350875r_bool(Eq_x_0,Eq_x_1) = hAPP_f719350875r_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_527,axiom,
    ( ord_le1151384881r_bool(Eq_x_0) = ord_le1151384881r_bool(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_528,axiom,
    ( ord_le725666495r_bool(Eq_x_0) = ord_le725666495r_bool(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_529,axiom,
    ( hAPP_f1823921107r_bool(Eq_x_0,Eq_x_1) = hAPP_f1823921107r_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_530,axiom,
    ( hAPP_f1612138403l_bool(Eq_x_0,Eq_x_1) = hAPP_f1612138403l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_531,axiom,
    ( hAPP_f1687138147l_bool(Eq_x_0,Eq_x_1) = hAPP_f1687138147l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_532,axiom,
    ( hAPP_f2118054305l_bool(Eq_x_0,Eq_x_1) = hAPP_f2118054305l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_533,axiom,
    ( hAPP_f1449341487r_bool(Eq_x_0,Eq_x_1) = hAPP_f1449341487r_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_534,axiom,
    ( hAPP_f987862447r_bool(Eq_x_0,Eq_x_1) = hAPP_f987862447r_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_535,axiom,
    ( hAPP_f1051205629r_bool(Eq_x_0,Eq_x_1) = hAPP_f1051205629r_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_536,axiom,
    ( ord_le989574145r_bool(Eq_x_0) = ord_le989574145r_bool(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_537,axiom,
    ( ord_le1852058257r_bool(Eq_x_0) = ord_le1852058257r_bool(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_538,axiom,
    ( hAPP_f1134248971r_bool(Eq_x_0,Eq_x_1) = hAPP_f1134248971r_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_539,axiom,
    ( hAPP_f693085049l_bool(Eq_x_0,Eq_x_1) = hAPP_f693085049l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_540,axiom,
    ( hAPP_f466945179l_bool(Eq_x_0,Eq_x_1) = hAPP_f466945179l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_541,axiom,
    ( hAPP_f2047757465l_bool(Eq_x_0,Eq_x_1) = hAPP_f2047757465l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_542,axiom,
    ( hAPP_f1608277885r_bool(Eq_x_0,Eq_x_1) = hAPP_f1608277885r_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_543,axiom,
    ( hAPP_f133320957r_bool(Eq_x_0,Eq_x_1) = hAPP_f133320957r_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_544,axiom,
    ( hAPP_f2071340985r_bool(Eq_x_0,Eq_x_1) = hAPP_f2071340985r_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_545,axiom,
    ( ord_le1449176264r_bool(Eq_x_0) = ord_le1449176264r_bool(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_546,axiom,
    ( ord_le1218729222r_bool(Eq_x_0) = ord_le1218729222r_bool(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_547,axiom,
    ( hAPP_f179418505r_bool(Eq_x_0,Eq_x_1) = hAPP_f179418505r_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_548,axiom,
    ( hAPP_f1715733055l_bool(Eq_x_0,Eq_x_1) = hAPP_f1715733055l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_549,axiom,
    ( hAPP_f1736484361l_bool(Eq_x_0,Eq_x_1) = hAPP_f1736484361l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_550,axiom,
    ( hAPP_f1136362289l_bool(Eq_x_0,Eq_x_1) = hAPP_f1136362289l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_551,axiom,
    ( hAPP_f531187933r_bool(Eq_x_0,Eq_x_1) = hAPP_f531187933r_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_552,axiom,
    ( hAPP_f308875635r_bool(Eq_x_0,Eq_x_1) = hAPP_f308875635r_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_553,axiom,
    ( hAPP_f1044627221r_bool(Eq_x_0,Eq_x_1) = hAPP_f1044627221r_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_554,axiom,
    ( ord_le817953186r_bool(Eq_x_0) = ord_le817953186r_bool(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_555,axiom,
    ( ord_le1579844278r_bool(Eq_x_0) = ord_le1579844278r_bool(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_556,axiom,
    ( hAPP_f1850037271l_bool(Eq_x_0,Eq_x_1) = hAPP_f1850037271l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_557,axiom,
    ( hAPP_f1564338425l_bool(Eq_x_0,Eq_x_1) = hAPP_f1564338425l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_558,axiom,
    ( hAPP_f552300311l_bool(Eq_x_0,Eq_x_1) = hAPP_f552300311l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_559,axiom,
    ( hAPP_f1752856401l_bool(Eq_x_0,Eq_x_1) = hAPP_f1752856401l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_560,axiom,
    ( hAPP_f1149562121l_bool(Eq_x_0,Eq_x_1) = hAPP_f1149562121l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_561,axiom,
    ( hAPP_f348508809l_bool(Eq_x_0,Eq_x_1) = hAPP_f348508809l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_562,axiom,
    ( hAPP_f844901525l_bool(Eq_x_0,Eq_x_1) = hAPP_f844901525l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_563,axiom,
    ( ord_le285175110l_bool(Eq_x_0) = ord_le285175110l_bool(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_564,axiom,
    ( ord_le1461833060l_bool(Eq_x_0) = ord_le1461833060l_bool(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_565,axiom,
    ( hAPP_f400269243l_bool(Eq_x_0,Eq_x_1) = hAPP_f400269243l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_566,axiom,
    ( hAPP_f183649339l_bool(Eq_x_0,Eq_x_1) = hAPP_f183649339l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_567,axiom,
    ( hAPP_f565735867l_bool(Eq_x_0,Eq_x_1) = hAPP_f565735867l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_568,axiom,
    ( hAPP_f293485653l_bool(Eq_x_0,Eq_x_1) = hAPP_f293485653l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_569,axiom,
    ( hAPP_f1859053709l_bool(Eq_x_0,Eq_x_1) = hAPP_f1859053709l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_570,axiom,
    ( hAPP_f1880802701l_bool(Eq_x_0,Eq_x_1) = hAPP_f1880802701l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_571,axiom,
    ( hAPP_f198821591l_bool(Eq_x_0,Eq_x_1) = hAPP_f198821591l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_572,axiom,
    ( ord_le408082617l_bool(Eq_x_0) = ord_le408082617l_bool(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_573,axiom,
    ( ord_le310098611l_bool(Eq_x_0) = ord_le310098611l_bool(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_574,axiom,
    ( hAPP_f1374595987l_bool(Eq_x_0,Eq_x_1) = hAPP_f1374595987l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_575,axiom,
    ( hAPP_f62511709l_bool(Eq_x_0,Eq_x_1) = hAPP_f62511709l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_576,axiom,
    ( hAPP_f877616419l_bool(Eq_x_0,Eq_x_1) = hAPP_f877616419l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_577,axiom,
    ( hAPP_f866074145l_bool(Eq_x_0,Eq_x_1) = hAPP_f866074145l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_578,axiom,
    ( hAPP_f2100207721l_bool(Eq_x_0,Eq_x_1) = hAPP_f2100207721l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_579,axiom,
    ( hAPP_f1100052969l_bool(Eq_x_0,Eq_x_1) = hAPP_f1100052969l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_580,axiom,
    ( hAPP_f257113085l_bool(Eq_x_0,Eq_x_1) = hAPP_f257113085l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_581,axiom,
    ( ord_le1725884030l_bool(Eq_x_0) = ord_le1725884030l_bool(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_582,axiom,
    ( ord_le1467847572l_bool(Eq_x_0) = ord_le1467847572l_bool(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_583,axiom,
    ( hAPP_f876671127l_bool(Eq_x_0,Eq_x_1) = hAPP_f876671127l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_584,axiom,
    ( hAPP_f919000597l_bool(Eq_x_0,Eq_x_1) = hAPP_f919000597l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_585,axiom,
    ( hAPP_f1406462375l_bool(Eq_x_0,Eq_x_1) = hAPP_f1406462375l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_586,axiom,
    ( hAPP_f1370205989l_bool(Eq_x_0,Eq_x_1) = hAPP_f1370205989l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_587,axiom,
    ( hAPP_f1094343359l_bool(Eq_x_0,Eq_x_1) = hAPP_f1094343359l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_588,axiom,
    ( hAPP_f350189921l_bool(Eq_x_0,Eq_x_1) = hAPP_f350189921l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_589,axiom,
    ( hAPP_f2080627739l_bool(Eq_x_0,Eq_x_1) = hAPP_f2080627739l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_590,axiom,
    ( ord_le188521288l_bool(Eq_x_0) = ord_le188521288l_bool(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_591,axiom,
    ( ord_le1744419030l_bool(Eq_x_0) = ord_le1744419030l_bool(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_592,axiom,
    ( hAPP_f1860331535l_bool(Eq_x_0,Eq_x_1) = hAPP_f1860331535l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_593,axiom,
    ( hAPP_f1168269397l_bool(Eq_x_0,Eq_x_1) = hAPP_f1168269397l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_594,axiom,
    ( hAPP_f1472899487l_bool(Eq_x_0,Eq_x_1) = hAPP_f1472899487l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_595,axiom,
    ( hAPP_f1670595613l_bool(Eq_x_0,Eq_x_1) = hAPP_f1670595613l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_596,axiom,
    ( hAPP_f1250221913l_bool(Eq_x_0,Eq_x_1) = hAPP_f1250221913l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_597,axiom,
    ( hAPP_f77033475l_bool(Eq_x_0,Eq_x_1) = hAPP_f77033475l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_598,axiom,
    ( hAPP_f47713631l_bool(Eq_x_0,Eq_x_1) = hAPP_f47713631l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_599,axiom,
    ( ord_le125655867l_bool(Eq_x_0) = ord_le125655867l_bool(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_600,axiom,
    ( ord_le1908998213l_bool(Eq_x_0) = ord_le1908998213l_bool(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_601,axiom,
    ( hAPP_f1946480059l_bool(Eq_x_0,Eq_x_1) = hAPP_f1946480059l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_602,axiom,
    ( hAPP_f1639555093l_bool(Eq_x_0,Eq_x_1) = hAPP_f1639555093l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_603,axiom,
    ( hAPP_f705562443l_bool(Eq_x_0,Eq_x_1) = hAPP_f705562443l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_604,axiom,
    ( hAPP_f1614195593l_bool(Eq_x_0,Eq_x_1) = hAPP_f1614195593l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_605,axiom,
    ( hAPP_f1475571983l_bool(Eq_x_0,Eq_x_1) = hAPP_f1475571983l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_606,axiom,
    ( hAPP_f40682957l_bool(Eq_x_0,Eq_x_1) = hAPP_f40682957l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_607,axiom,
    ( hAPP_f989077673l_bool(Eq_x_0,Eq_x_1) = hAPP_f989077673l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_608,axiom,
    ( ord_le1080391173l_bool(Eq_x_0) = ord_le1080391173l_bool(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_609,axiom,
    ( ord_le1668954565l_bool(Eq_x_0) = ord_le1668954565l_bool(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_610,axiom,
    ( ord_less_eq_bool(Eq_x_0) = ord_less_eq_bool(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_611,axiom,
    ( hAPP_l2138409430r_bool(Eq_x_0,Eq_x_1) = hAPP_l2138409430r_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_612,axiom,
    ( hAPP_l2054741776r_bool(Eq_x_0,Eq_x_1) = hAPP_l2054741776r_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_613,axiom,
    ( fv(Eq_x_0) = fv(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_614,axiom,
    ( eval(Eq_x_0,Eq_x_1,Eq_x_2) = eval(Eq_y_0,Eq_y_1,Eq_y_2)
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_615,axiom,
    ( semila919158006r_bool(Eq_x_0,Eq_x_1) = semila919158006r_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_616,axiom,
    ( semila1731249415r_bool(Eq_x_0,Eq_x_1) = semila1731249415r_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_617,axiom,
    ( semila1346223580r_bool(Eq_x_0,Eq_x_1) = semila1346223580r_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_618,axiom,
    ( semila449273525l_bool(Eq_x_0,Eq_x_1) = semila449273525l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_619,axiom,
    ( semila465093516t_bool(Eq_x_0,Eq_x_1) = semila465093516t_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_620,axiom,
    ( semila1168318597r_bool(Eq_x_0,Eq_x_1) = semila1168318597r_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_621,axiom,
    ( semila751111325l_bool(Eq_x_0,Eq_x_1) = semila751111325l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_622,axiom,
    ( hAPP_f1169733153l_bool(Eq_x_0,Eq_x_1) = hAPP_f1169733153l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_623,axiom,
    ( hAPP_f1985672189l_bool(Eq_x_0,Eq_x_1) = hAPP_f1985672189l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_624,axiom,
    ( cOMBS_1743887558l_bool(Eq_x_0,Eq_x_1) = cOMBS_1743887558l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_625,axiom,
    ( collec1387638140t_char(Eq_x_0) = collec1387638140t_char(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_626,axiom,
    ( hAPP_f321462169l_bool(Eq_x_0,Eq_x_1) = hAPP_f321462169l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_627,axiom,
    ( hAPP_f561246575l_bool(Eq_x_0,Eq_x_1) = hAPP_f561246575l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_628,axiom,
    ( cOMBS_635570165l_bool(Eq_x_0,Eq_x_1) = cOMBS_635570165l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_629,axiom,
    ( collec1583467887t_char(Eq_x_0) = collec1583467887t_char(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_630,axiom,
    ( hAPP_f1600936353l_bool(Eq_x_0,Eq_x_1) = hAPP_f1600936353l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_631,axiom,
    ( hAPP_f914702973l_bool(Eq_x_0,Eq_x_1) = hAPP_f914702973l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_632,axiom,
    ( cOMBS_1218320756l_bool(Eq_x_0,Eq_x_1) = cOMBS_1218320756l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_633,axiom,
    ( collec2087910442on_val(Eq_x_0) = collec2087910442on_val(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_634,axiom,
    ( hAPP_f1080886329l_bool(Eq_x_0,Eq_x_1) = hAPP_f1080886329l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_635,axiom,
    ( hAPP_f1146629647l_bool(Eq_x_0,Eq_x_1) = hAPP_f1146629647l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_636,axiom,
    ( cOMBS_nat_bool_bool(Eq_x_0,Eq_x_1) = cOMBS_nat_bool_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_637,axiom,
    ( hAPP_f722872225l_bool(Eq_x_0,Eq_x_1) = hAPP_f722872225l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_638,axiom,
    ( hAPP_f644972157l_bool(Eq_x_0,Eq_x_1) = hAPP_f644972157l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_639,axiom,
    ( cOMBS_350755140l_bool(Eq_x_0,Eq_x_1) = cOMBS_350755140l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_640,axiom,
    ( collec1797130234t_char(Eq_x_0) = collec1797130234t_char(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_641,axiom,
    ( hAPP_f1157863905l_bool(Eq_x_0,Eq_x_1) = hAPP_f1157863905l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_642,axiom,
    ( hAPP_f1163760061l_bool(Eq_x_0,Eq_x_1) = hAPP_f1163760061l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_643,axiom,
    ( cOMBS_1502238389l_bool(Eq_x_0,Eq_x_1) = cOMBS_1502238389l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_644,axiom,
    ( hAPP_f606945057l_bool(Eq_x_0,Eq_x_1) = hAPP_f606945057l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_645,axiom,
    ( hAPP_f379976829l_bool(Eq_x_0,Eq_x_1) = hAPP_f379976829l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_646,axiom,
    ( cOMBS_1319864284l_bool(Eq_x_0,Eq_x_1) = cOMBS_1319864284l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_647,axiom,
    ( collec718040978on_val(Eq_x_0) = collec718040978on_val(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_648,axiom,
    ( restri761823004ar_val(Eq_x_0,Eq_x_1) = restri761823004ar_val(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_649,axiom,
    ( addr(Eq_x_0) = addr(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_650,axiom,
    ( fAss_list_char(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = fAss_list_char(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_651,axiom,
    ( fAcc_list_char(Eq_x_0,Eq_x_1,Eq_x_2) = fAcc_list_char(Eq_y_0,Eq_y_1,Eq_y_2)
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_652,axiom,
    ( throw_list_char(Eq_x_0) = throw_list_char(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_653,axiom,
    ( subcls851966956t_char(Eq_x_0) = subcls851966956t_char(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_654,axiom,
    ( tryCatch_list_char(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = tryCatch_list_char(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_655,axiom,
    ( binOp_list_char(Eq_x_0,Eq_x_1,Eq_x_2) = binOp_list_char(Eq_y_0,Eq_y_1,Eq_y_2)
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_656,axiom,
    ( hAPP_list_char_ty(Eq_x_0,Eq_x_1) = hAPP_list_char_ty(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_657,axiom,
    ( cast_list_char(Eq_x_0,Eq_x_1) = cast_list_char(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_658,axiom,
    ( binop(Eq_x_0) = binop(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_659,axiom,
    ( addr_of_sys_xcpt(Eq_x_0) = addr_of_sys_xcpt(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_660,axiom,
    ( typeof_h(Eq_x_0) = typeof_h(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_661,axiom,
    ( hAPP_val_option_ty(Eq_x_0,Eq_x_1) = hAPP_val_option_ty(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_662,axiom,
    ( hAPP_f509342689ion_ty(Eq_x_0,Eq_x_1) = hAPP_f509342689ion_ty(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_663,axiom,
    ( hAPP_f1243585741ion_ty(Eq_x_0,Eq_x_1) = hAPP_f1243585741ion_ty(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_664,axiom,
    ( hAPP_f359949478ion_ty(Eq_x_0,Eq_x_1) = hAPP_f359949478ion_ty(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_665,axiom,
    ( hAPP_f451501457ion_ty(Eq_x_0,Eq_x_1) = hAPP_f451501457ion_ty(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_666,axiom,
    ( option1388193227on_val(Eq_x_0,Eq_x_1,Eq_x_2) = option1388193227on_val(Eq_y_0,Eq_y_1,Eq_y_2)
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_667,axiom,
    ( subcls744239332t_char(Eq_x_0) = subcls744239332t_char(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_668,axiom,
    ( transi1065307915t_char(Eq_x_0) = transi1065307915t_char(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_669,axiom,
    ( is_cla570604648t_char(Eq_x_0) = is_cla570604648t_char(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_670,axiom,
    ( bool(Eq_x_0) = bool(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_671,axiom,
    ( hAPP_f388705405r_bool(Eq_x_0,Eq_x_1) = hAPP_f388705405r_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_672,axiom,
    ( while_list_char(Eq_x_0,Eq_x_1) = while_list_char(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_673,axiom,
    ( cond_list_char(Eq_x_0,Eq_x_1,Eq_x_2) = cond_list_char(Eq_y_0,Eq_y_1,Eq_y_2)
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_674,axiom,
    ( new_Addr(Eq_x_0) = new_Addr(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_675,axiom,
    ( new_list_char(Eq_x_0) = new_list_char(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_676,axiom,
    ( init_fields(Eq_x_0) = init_fields(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_677,axiom,
    ( map_va1934808527t_char(Eq_x_0,Eq_x_1) = map_va1934808527t_char(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_678,axiom,
    ( call_list_char(Eq_x_0,Eq_x_1,Eq_x_2) = call_list_char(Eq_y_0,Eq_y_1,Eq_y_2)
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_679,axiom,
    ( reds(Eq_x_0) = reds(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_680,axiom,
    ( evals(Eq_x_0,Eq_x_1,Eq_x_2) = evals(Eq_y_0,Eq_y_1,Eq_y_2)
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_681,axiom,
    ( cons_exp_list_char(Eq_x_0,Eq_x_1) = cons_exp_list_char(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_682,axiom,
    ( append_exp_list_char(Eq_x_0,Eq_x_1) = append_exp_list_char(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_683,axiom,
    ( fvs(Eq_x_0) = fvs(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_684,axiom,
    ( cons_ty(Eq_x_0,Eq_x_1) = cons_ty(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_685,axiom,
    ( map_val_option_ty(Eq_x_0,Eq_x_1) = map_val_option_ty(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_686,axiom,
    ( map_ty_option_ty(Eq_x_0,Eq_x_1) = map_ty_option_ty(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_687,axiom,
    ( redsp(Eq_x_0,Eq_x_1,Eq_x_2) = redsp(Eq_y_0,Eq_y_1,Eq_y_2)
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_688,axiom,
    ( cons_list_char(Eq_x_0,Eq_x_1) = cons_list_char(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_689,axiom,
    ( cons_val(Eq_x_0,Eq_x_1) = cons_val(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_690,axiom,
    ( blocks(Eq_x_0) = blocks(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_691,axiom,
    ( set_Pr1494163115t_char(Eq_x_0) = set_Pr1494163115t_char(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_692,axiom,
    ( set_Pr2033386304t_char(Eq_x_0) = set_Pr2033386304t_char(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_693,axiom,
    ( method1809630380t_char(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5) = method1809630380t_char(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
    | Eq_x_5 != Eq_y_5
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_694,axiom,
    ( size_size_list_val(Eq_x_0) = size_size_list_val(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_695,axiom,
    ( size_s2113983095t_char(Eq_x_0) = size_s2113983095t_char(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_696,axiom,
    ( map_up1085636310ar_val(Eq_x_0,Eq_x_1,Eq_x_2) = map_up1085636310ar_val(Eq_y_0,Eq_y_1,Eq_y_2)
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_697,axiom,
    ( size_size_list_ty(Eq_x_0) = size_size_list_ty(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_698,axiom,
    ( size_s1143674878t_char(Eq_x_0) = size_s1143674878t_char(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_699,axiom,
    ( map_up891053837har_ty(Eq_x_0,Eq_x_1,Eq_x_2) = map_up891053837har_ty(Eq_y_0,Eq_y_1,Eq_y_2)
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_700,axiom,
    ( set_list_char(Eq_x_0) = set_list_char(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_701,axiom,
    ( overri2012515291on_val(Eq_x_0,Eq_x_1,Eq_x_2) = overri2012515291on_val(Eq_y_0,Eq_y_1,Eq_y_2)
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_702,axiom,
    ( comp_o1129292306t_char(Eq_x_0,Eq_x_1) = comp_o1129292306t_char(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_703,axiom,
    ( map_list_char_val(Eq_x_0,Eq_x_1) = map_list_char_val(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_704,axiom,
    ( hAPP_o586881855l_bool(Eq_x_0,Eq_x_1) = hAPP_o586881855l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_705,axiom,
    ( hAPP_n1006566506l_bool(Eq_x_0,Eq_x_1) = hAPP_n1006566506l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_706,axiom,
    ( hAPP_l2010421276l_bool(Eq_x_0,Eq_x_1) = hAPP_l2010421276l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_707,axiom,
    ( hAPP_l1646953198l_bool(Eq_x_0,Eq_x_1) = hAPP_l1646953198l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_708,axiom,
    ( hAPP_f1764548711l_bool(Eq_x_0,Eq_x_1) = hAPP_f1764548711l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_709,axiom,
    ( hAPP_f1728541444l_bool(Eq_x_0,Eq_x_1) = hAPP_f1728541444l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_710,axiom,
    ( hAPP_v3604996l_bool(Eq_x_0,Eq_x_1) = hAPP_v3604996l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_711,axiom,
    ( hAPP_P1457625805l_bool(Eq_x_0,Eq_x_1) = hAPP_P1457625805l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_712,axiom,
    ( hAPP_f1074020887l_bool(Eq_x_0,Eq_x_1) = hAPP_f1074020887l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_713,axiom,
    ( hAPP_v1988122071l_bool(Eq_x_0,Eq_x_1) = hAPP_v1988122071l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_714,axiom,
    ( hAPP_f1394668591l_bool(Eq_x_0,Eq_x_1) = hAPP_f1394668591l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_715,axiom,
    ( hAPP_f263393637l_bool(Eq_x_0,Eq_x_1) = hAPP_f263393637l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_716,axiom,
    ( hAPP_f1335946228l_bool(Eq_x_0,Eq_x_1) = hAPP_f1335946228l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_717,axiom,
    ( hAPP_P1614880106l_bool(Eq_x_0,Eq_x_1) = hAPP_P1614880106l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_718,axiom,
    ( hAPP_f1367982615r_bool(Eq_x_0,Eq_x_1) = hAPP_f1367982615r_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_719,axiom,
    ( hAPP_f335969926r_bool(Eq_x_0,Eq_x_1) = hAPP_f335969926r_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_720,axiom,
    ( hAPP_l553007690l_bool(Eq_x_0,Eq_x_1) = hAPP_l553007690l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_721,axiom,
    ( hAPP_o534509643ion_ty(Eq_x_0,Eq_x_1) = hAPP_o534509643ion_ty(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_722,axiom,
    ( hAPP_b1257035143l_bool(Eq_x_0,Eq_x_1) = hAPP_b1257035143l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_723,axiom,
    ( hAPP_f181262431l_bool(Eq_x_0,Eq_x_1) = hAPP_f181262431l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_724,axiom,
    ( hAPP_f603925568l_bool(Eq_x_0,Eq_x_1) = hAPP_f603925568l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_725,axiom,
    ( hAPP_f388097003r_bool(Eq_x_0,Eq_x_1) = hAPP_f388097003r_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_726,axiom,
    ( hAPP_f1724656343r_bool(Eq_x_0,Eq_x_1) = hAPP_f1724656343r_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_727,axiom,
    ( hAPP_e53687815l_bool(Eq_x_0,Eq_x_1) = hAPP_e53687815l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_728,axiom,
    ( hAPP_o1968908095l_bool(Eq_x_0,Eq_x_1) = hAPP_o1968908095l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_729,axiom,
    ( hAPP_l1335043179r_bool(Eq_x_0,Eq_x_1) = hAPP_l1335043179r_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_730,axiom,
    ( hAPP_v417179479l_bool(Eq_x_0,Eq_x_1) = hAPP_v417179479l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_731,axiom,
    ( hAPP_f1766231913r_bool(Eq_x_0,Eq_x_1) = hAPP_f1766231913r_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_732,axiom,
    ( hAPP_f1466436665r_bool(Eq_x_0,Eq_x_1) = hAPP_f1466436665r_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_733,axiom,
    ( hAPP_e1303556805l_bool(Eq_x_0,Eq_x_1) = hAPP_e1303556805l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_734,axiom,
    ( hAPP_n95946796l_bool(Eq_x_0,Eq_x_1) = hAPP_n95946796l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_735,axiom,
    ( hAPP_f1646911885l_bool(Eq_x_0,Eq_x_1) = hAPP_f1646911885l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_736,axiom,
    ( hAPP_l296209613r_bool(Eq_x_0,Eq_x_1) = hAPP_l296209613r_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_737,axiom,
    ( hAPP_f558380429l_bool(Eq_x_0,Eq_x_1) = hAPP_f558380429l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_738,axiom,
    ( hAPP_P415257547l_bool(Eq_x_0,Eq_x_1) = hAPP_P415257547l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_739,axiom,
    ( hAPP_l753659065r_bool(Eq_x_0,Eq_x_1) = hAPP_l753659065r_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_740,axiom,
    ( hAPP_f1145256474l_bool(Eq_x_0,Eq_x_1) = hAPP_f1145256474l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_741,axiom,
    ( hAPP_f225832321r_bool(Eq_x_0,Eq_x_1) = hAPP_f225832321r_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_742,axiom,
    ( hAPP_f1298720864r_bool(Eq_x_0,Eq_x_1) = hAPP_f1298720864r_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_743,axiom,
    ( hAPP_P2028292026l_bool(Eq_x_0,Eq_x_1) = hAPP_P2028292026l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_744,axiom,
    ( hAPP_f361629773l_bool(Eq_x_0,Eq_x_1) = hAPP_f361629773l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_745,axiom,
    ( hAPP_b406740087l_bool(Eq_x_0,Eq_x_1) = hAPP_b406740087l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_746,axiom,
    ( hAPP_l96108383r_bool(Eq_x_0,Eq_x_1) = hAPP_l96108383r_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_747,axiom,
    ( hAPP_f901718717l_bool(Eq_x_0,Eq_x_1) = hAPP_f901718717l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_748,axiom,
    ( hAPP_l1425867561l_bool(Eq_x_0,Eq_x_1) = hAPP_l1425867561l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_749,axiom,
    ( hAPP_f2110071953ion_ty(Eq_x_0,Eq_x_1) = hAPP_f2110071953ion_ty(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_750,axiom,
    ( hAPP_f1166017719l_bool(Eq_x_0,Eq_x_1) = hAPP_f1166017719l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_751,axiom,
    ( hAPP_f1579743228l_bool(Eq_x_0,Eq_x_1) = hAPP_f1579743228l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_752,axiom,
    ( hAPP_f749178132l_bool(Eq_x_0,Eq_x_1) = hAPP_f749178132l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_753,axiom,
    ( hAPP_f1707979241r_bool(Eq_x_0,Eq_x_1) = hAPP_f1707979241r_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_754,axiom,
    ( hAPP_f1874697593r_bool(Eq_x_0,Eq_x_1) = hAPP_f1874697593r_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_755,axiom,
    ( hAPP_P1562529797l_bool(Eq_x_0,Eq_x_1) = hAPP_P1562529797l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_756,axiom,
    ( hAPP_l1739862107l_bool(Eq_x_0,Eq_x_1) = hAPP_l1739862107l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_757,axiom,
    ( hAPP_l1842007287l_bool(Eq_x_0,Eq_x_1) = hAPP_l1842007287l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_758,axiom,
    ( hAPP_f1617787571l_bool(Eq_x_0,Eq_x_1) = hAPP_f1617787571l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_759,axiom,
    ( hAPP_f1008932791l_bool(Eq_x_0,Eq_x_1) = hAPP_f1008932791l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_760,axiom,
    ( hAPP_f921434893l_bool(Eq_x_0,Eq_x_1) = hAPP_f921434893l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_761,axiom,
    ( hAPP_f1492320500l_bool(Eq_x_0,Eq_x_1) = hAPP_f1492320500l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_762,axiom,
    ( hAPP_f510152537l_bool(Eq_x_0,Eq_x_1) = hAPP_f510152537l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_763,axiom,
    ( hAPP_f33142364l_bool(Eq_x_0,Eq_x_1) = hAPP_f33142364l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_764,axiom,
    ( hAPP_f720086610l_bool(Eq_x_0,Eq_x_1) = hAPP_f720086610l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_765,axiom,
    ( hAPP_l1783480313r_bool(Eq_x_0,Eq_x_1) = hAPP_l1783480313r_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_766,axiom,
    ( hAPP_f1419180947r_bool(Eq_x_0,Eq_x_1) = hAPP_f1419180947r_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_767,axiom,
    ( hAPP_f279818502r_bool(Eq_x_0,Eq_x_1) = hAPP_f279818502r_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_768,axiom,
    ( hAPP_P1383068750l_bool(Eq_x_0,Eq_x_1) = hAPP_P1383068750l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_769,axiom,
    ( hAPP_l551544901l_bool(Eq_x_0,Eq_x_1) = hAPP_l551544901l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_770,axiom,
    ( hAPP_P1552072218l_bool(Eq_x_0,Eq_x_1) = hAPP_P1552072218l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_771,axiom,
    ( hAPP_l165010689r_bool(Eq_x_0,Eq_x_1) = hAPP_l165010689r_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_772,axiom,
    ( hAPP_l2053770731r_bool(Eq_x_0,Eq_x_1) = hAPP_l2053770731r_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_773,axiom,
    ( hAPP_f1099622285l_bool(Eq_x_0,Eq_x_1) = hAPP_f1099622285l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_774,axiom,
    ( hAPP_l1117138611l_bool(Eq_x_0,Eq_x_1) = hAPP_l1117138611l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_775,axiom,
    ( hAPP_f1233028029l_bool(Eq_x_0,Eq_x_1) = hAPP_f1233028029l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_776,axiom,
    ( hAPP_f841257045r_bool(Eq_x_0,Eq_x_1) = hAPP_f841257045r_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_777,axiom,
    ( hAPP_f605643693r_bool(Eq_x_0,Eq_x_1) = hAPP_f605643693r_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_778,axiom,
    ( hAPP_l213519975l_bool(Eq_x_0,Eq_x_1) = hAPP_l213519975l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_779,axiom,
    ( hAPP_f893576377l_bool(Eq_x_0,Eq_x_1) = hAPP_f893576377l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_780,axiom,
    ( hAPP_f1239832973l_bool(Eq_x_0,Eq_x_1) = hAPP_f1239832973l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_781,axiom,
    ( hAPP_l1129005983r_bool(Eq_x_0,Eq_x_1) = hAPP_l1129005983r_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_782,axiom,
    ( hAPP_l2111308793l_bool(Eq_x_0,Eq_x_1) = hAPP_l2111308793l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_783,axiom,
    ( hAPP_f101237475l_bool(Eq_x_0,Eq_x_1) = hAPP_f101237475l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_784,axiom,
    ( hAPP_f1175362209l_bool(Eq_x_0,Eq_x_1) = hAPP_f1175362209l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_785,axiom,
    ( hAPP_P1609485901l_bool(Eq_x_0,Eq_x_1) = hAPP_P1609485901l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_786,axiom,
    ( hAPP_f1467537159l_bool(Eq_x_0,Eq_x_1) = hAPP_f1467537159l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_787,axiom,
    ( hAPP_f1526206996l_bool(Eq_x_0,Eq_x_1) = hAPP_f1526206996l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_788,axiom,
    ( hAPP_P594889876l_bool(Eq_x_0,Eq_x_1) = hAPP_P594889876l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_789,axiom,
    ( hAPP_f1410576713r_bool(Eq_x_0,Eq_x_1) = hAPP_f1410576713r_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_790,axiom,
    ( hAPP_f764724814r_bool(Eq_x_0,Eq_x_1) = hAPP_f764724814r_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_791,axiom,
    ( hAPP_P1418247892l_bool(Eq_x_0,Eq_x_1) = hAPP_P1418247892l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_792,axiom,
    ( hAPP_f292637069l_bool(Eq_x_0,Eq_x_1) = hAPP_f292637069l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_793,axiom,
    ( hAPP_e1705922617l_bool(Eq_x_0,Eq_x_1) = hAPP_e1705922617l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_794,axiom,
    ( hAPP_P1402001845l_bool(Eq_x_0,Eq_x_1) = hAPP_P1402001845l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_795,axiom,
    ( hAPP_l1988620845r_bool(Eq_x_0,Eq_x_1) = hAPP_l1988620845r_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_796,axiom,
    ( hAPP_l1571522437l_bool(Eq_x_0,Eq_x_1) = hAPP_l1571522437l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_797,axiom,
    ( hAPP_l177734933l_bool(Eq_x_0,Eq_x_1) = hAPP_l177734933l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_798,axiom,
    ( hAPP_P895943837l_bool(Eq_x_0,Eq_x_1) = hAPP_P895943837l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_799,axiom,
    ( hAPP_f454222487r_bool(Eq_x_0,Eq_x_1) = hAPP_f454222487r_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_800,axiom,
    ( hAPP_f658521820r_bool(Eq_x_0,Eq_x_1) = hAPP_f658521820r_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_801,axiom,
    ( hAPP_P780018708l_bool(Eq_x_0,Eq_x_1) = hAPP_P780018708l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_802,axiom,
    ( hAPP_l923073979r_bool(Eq_x_0,Eq_x_1) = hAPP_l923073979r_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_803,axiom,
    ( hAPP_l1845912621l_bool(Eq_x_0,Eq_x_1) = hAPP_l1845912621l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_804,axiom,
    ( hAPP_f156692813l_bool(Eq_x_0,Eq_x_1) = hAPP_f156692813l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_805,axiom,
    ( hAPP_f613075253l_bool(Eq_x_0,Eq_x_1) = hAPP_f613075253l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_806,axiom,
    ( hAPP_f826324045l_bool(Eq_x_0,Eq_x_1) = hAPP_f826324045l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_807,axiom,
    ( hAPP_f2037329933l_bool(Eq_x_0,Eq_x_1) = hAPP_f2037329933l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_808,axiom,
    ( hAPP_f375531599l_bool(Eq_x_0,Eq_x_1) = hAPP_f375531599l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_809,axiom,
    ( hAPP_f961387813l_bool(Eq_x_0,Eq_x_1) = hAPP_f961387813l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_810,axiom,
    ( hAPP_f973018659l_bool(Eq_x_0,Eq_x_1) = hAPP_f973018659l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_811,axiom,
    ( hAPP_P638161699l_bool(Eq_x_0,Eq_x_1) = hAPP_P638161699l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_812,axiom,
    ( hAPP_f1734997943l_bool(Eq_x_0,Eq_x_1) = hAPP_f1734997943l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_813,axiom,
    ( hAPP_f1317381998l_bool(Eq_x_0,Eq_x_1) = hAPP_f1317381998l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_814,axiom,
    ( hAPP_P88824722l_bool(Eq_x_0,Eq_x_1) = hAPP_P88824722l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_815,axiom,
    ( hAPP_f1107475085l_bool(Eq_x_0,Eq_x_1) = hAPP_f1107475085l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_816,axiom,
    ( hAPP_l1536299231l_bool(Eq_x_0,Eq_x_1) = hAPP_l1536299231l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_817,axiom,
    ( hAPP_e286792811l_bool(Eq_x_0,Eq_x_1) = hAPP_e286792811l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_818,axiom,
    ( hAPP_l810309945l_bool(Eq_x_0,Eq_x_1) = hAPP_l810309945l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_819,axiom,
    ( hAPP_l232580245l_bool(Eq_x_0,Eq_x_1) = hAPP_l232580245l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_820,axiom,
    ( hAPP_P609938901l_bool(Eq_x_0,Eq_x_1) = hAPP_P609938901l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_821,axiom,
    ( hAPP_P768428603l_bool(Eq_x_0,Eq_x_1) = hAPP_P768428603l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_822,axiom,
    ( hAPP_l1591404153l_bool(Eq_x_0,Eq_x_1) = hAPP_l1591404153l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_823,axiom,
    ( hAPP_f762728813l_bool(Eq_x_0,Eq_x_1) = hAPP_f762728813l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_824,axiom,
    ( hAPP_f1776493709l_bool(Eq_x_0,Eq_x_1) = hAPP_f1776493709l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_825,axiom,
    ( hAPP_P527298901l_bool(Eq_x_0,Eq_x_1) = hAPP_P527298901l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_826,axiom,
    ( hAPP_P76086873l_bool(Eq_x_0,Eq_x_1) = hAPP_P76086873l_bool(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_827,axiom,
    ( sK1(Eq_x_0,Eq_x_1) = sK1(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_828,axiom,
    ( sK2(Eq_x_0,Eq_x_1) = sK2(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_829,axiom,
    ( sK3(Eq_x_0,Eq_x_1) = sK3(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_830,axiom,
    ( sK4(Eq_x_0,Eq_x_1) = sK4(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_831,axiom,
    ( sK5(Eq_x_0,Eq_x_1) = sK5(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_832,axiom,
    ( sK6(Eq_x_0,Eq_x_1) = sK6(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_833,axiom,
    ( sK7(Eq_x_0,Eq_x_1) = sK7(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_834,axiom,
    ( sK8(Eq_x_0,Eq_x_1) = sK8(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_835,axiom,
    ( sK9(Eq_x_0,Eq_x_1) = sK9(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_836,axiom,
    ( sK10(Eq_x_0,Eq_x_1) = sK10(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_837,axiom,
    ( sK11(Eq_x_0,Eq_x_1) = sK11(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_838,axiom,
    ( sK12(Eq_x_0,Eq_x_1) = sK12(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_839,axiom,
    ( sK13(Eq_x_0,Eq_x_1) = sK13(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_840,axiom,
    ( sK14(Eq_x_0,Eq_x_1) = sK14(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_841,axiom,
    ( sK15(Eq_x_0,Eq_x_1) = sK15(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_842,axiom,
    ( sK16(Eq_x_0,Eq_x_1) = sK16(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_843,axiom,
    ( sK17(Eq_x_0,Eq_x_1) = sK17(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_844,axiom,
    ( sK18(Eq_x_0,Eq_x_1) = sK18(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_845,axiom,
    ( sK19(Eq_x_0,Eq_x_1) = sK19(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_846,axiom,
    ( sK20(Eq_x_0,Eq_x_1) = sK20(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_847,axiom,
    ( sK21(Eq_x_0,Eq_x_1) = sK21(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_848,axiom,
    ( sK22(Eq_x_0,Eq_x_1) = sK22(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_849,axiom,
    ( sK23(Eq_x_0,Eq_x_1) = sK23(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_850,axiom,
    ( sK24(Eq_x_0,Eq_x_1) = sK24(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_851,axiom,
    ( sK25(Eq_x_0,Eq_x_1) = sK25(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_852,axiom,
    ( sK26(Eq_x_0,Eq_x_1) = sK26(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_853,axiom,
    ( sK27(Eq_x_0) = sK27(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_854,axiom,
    ( sK28(Eq_x_0) = sK28(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_855,axiom,
    ( sK29(Eq_x_0) = sK29(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_856,axiom,
    ( sK30(Eq_x_0) = sK30(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_857,axiom,
    ( sK31(Eq_x_0) = sK31(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_858,axiom,
    ( sK32(Eq_x_0) = sK32(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_859,axiom,
    ( sK33(Eq_x_0) = sK33(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_860,axiom,
    ( sK34(Eq_x_0) = sK34(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_861,axiom,
    ( sK35(Eq_x_0) = sK35(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_862,axiom,
    ( sK36(Eq_x_0) = sK36(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_863,axiom,
    ( sK37(Eq_x_0) = sK37(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_864,axiom,
    ( sK38(Eq_x_0) = sK38(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_865,axiom,
    ( sK39(Eq_x_0) = sK39(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_866,axiom,
    ( sK40(Eq_x_0) = sK40(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_867,axiom,
    ( sK41(Eq_x_0) = sK41(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_868,axiom,
    ( sK42(Eq_x_0) = sK42(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_869,axiom,
    ( sK43(Eq_x_0) = sK43(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_870,axiom,
    ( sK44(Eq_x_0) = sK44(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_871,axiom,
    ( sK45(Eq_x_0) = sK45(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_872,axiom,
    ( sK46(Eq_x_0) = sK46(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_873,axiom,
    ( sK47(Eq_x_0) = sK47(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_874,axiom,
    ( sK48(Eq_x_0) = sK48(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_875,axiom,
    ( sK49(Eq_x_0) = sK49(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_876,axiom,
    ( sK50(Eq_x_0) = sK50(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_877,axiom,
    ( sK51(Eq_x_0) = sK51(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_878,axiom,
    ( sK52(Eq_x_0,Eq_x_1) = sK52(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_879,axiom,
    ( sK53(Eq_x_0,Eq_x_1) = sK53(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_880,axiom,
    ( sK54(Eq_x_0,Eq_x_1) = sK54(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_881,axiom,
    ( sK55(Eq_x_0,Eq_x_1) = sK55(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_882,axiom,
    ( sK56(Eq_x_0,Eq_x_1) = sK56(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_883,axiom,
    ( sK57(Eq_x_0,Eq_x_1) = sK57(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_884,axiom,
    ( sK58(Eq_x_0,Eq_x_1) = sK58(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_885,axiom,
    ( sK59(Eq_x_0,Eq_x_1) = sK59(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_886,axiom,
    ( sK60(Eq_x_0,Eq_x_1) = sK60(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_887,axiom,
    ( sK61(Eq_x_0,Eq_x_1) = sK61(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_888,axiom,
    ( sK62(Eq_x_0,Eq_x_1) = sK62(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_889,axiom,
    ( sK63(Eq_x_0,Eq_x_1) = sK63(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_890,axiom,
    ( sK64(Eq_x_0,Eq_x_1) = sK64(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_891,axiom,
    ( sK65(Eq_x_0,Eq_x_1) = sK65(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_892,axiom,
    ( sK66(Eq_x_0,Eq_x_1) = sK66(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_893,axiom,
    ( sK67(Eq_x_0,Eq_x_1) = sK67(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_894,axiom,
    ( sK68(Eq_x_0,Eq_x_1) = sK68(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_895,axiom,
    ( sK69(Eq_x_0,Eq_x_1) = sK69(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_896,axiom,
    ( sK70(Eq_x_0,Eq_x_1) = sK70(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_897,axiom,
    ( sK71(Eq_x_0,Eq_x_1) = sK71(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_898,axiom,
    ( sK72(Eq_x_0,Eq_x_1) = sK72(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_899,axiom,
    ( sK73(Eq_x_0,Eq_x_1) = sK73(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_900,axiom,
    ( sK74(Eq_x_0,Eq_x_1) = sK74(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_901,axiom,
    ( sK75(Eq_x_0,Eq_x_1) = sK75(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_902,axiom,
    ( sK76(Eq_x_0,Eq_x_1) = sK76(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_903,axiom,
    ( sK77(Eq_x_0,Eq_x_1) = sK77(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_904,axiom,
    ( sK78(Eq_x_0,Eq_x_1) = sK78(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_905,axiom,
    ( sK79(Eq_x_0,Eq_x_1) = sK79(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_906,axiom,
    ( sK80(Eq_x_0,Eq_x_1) = sK80(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_907,axiom,
    ( sK81(Eq_x_0,Eq_x_1) = sK81(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_908,axiom,
    ( sK82(Eq_x_0,Eq_x_1) = sK82(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_909,axiom,
    ( sK83(Eq_x_0,Eq_x_1) = sK83(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_910,axiom,
    ( sK84(Eq_x_0,Eq_x_1) = sK84(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_911,axiom,
    ( sK85(Eq_x_0,Eq_x_1) = sK85(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_912,axiom,
    ( sK86(Eq_x_0,Eq_x_1) = sK86(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_913,axiom,
    ( sK87(Eq_x_0,Eq_x_1) = sK87(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_914,axiom,
    ( sK88(Eq_x_0,Eq_x_1) = sK88(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_915,axiom,
    ( sK89(Eq_x_0,Eq_x_1) = sK89(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_916,axiom,
    ( sK90(Eq_x_0,Eq_x_1) = sK90(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_917,axiom,
    ( sK91(Eq_x_0,Eq_x_1) = sK91(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_918,axiom,
    ( sK92(Eq_x_0,Eq_x_1) = sK92(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_919,axiom,
    ( sK93(Eq_x_0,Eq_x_1) = sK93(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_920,axiom,
    ( sK94(Eq_x_0,Eq_x_1) = sK94(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_921,axiom,
    ( sK95(Eq_x_0,Eq_x_1) = sK95(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_922,axiom,
    ( sK96(Eq_x_0,Eq_x_1) = sK96(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_923,axiom,
    ( sK97(Eq_x_0,Eq_x_1) = sK97(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_924,axiom,
    ( sK98(Eq_x_0,Eq_x_1) = sK98(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_925,axiom,
    ( sK99(Eq_x_0,Eq_x_1) = sK99(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_926,axiom,
    ( sK100(Eq_x_0) = sK100(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_927,axiom,
    ( sK101(Eq_x_0) = sK101(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_928,axiom,
    ( sK102(Eq_x_0) = sK102(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_929,axiom,
    ( sK103(Eq_x_0) = sK103(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_930,axiom,
    ( sK104(Eq_x_0) = sK104(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_931,axiom,
    ( sK105(Eq_x_0) = sK105(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_932,axiom,
    ( sK106(Eq_x_0) = sK106(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_933,axiom,
    ( sK107(Eq_x_0) = sK107(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_934,axiom,
    ( sK108(Eq_x_0) = sK108(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_935,axiom,
    ( sK109(Eq_x_0) = sK109(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_936,axiom,
    ( sK110(Eq_x_0) = sK110(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_937,axiom,
    ( sK111(Eq_x_0) = sK111(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_938,axiom,
    ( sK112(Eq_x_0) = sK112(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_939,axiom,
    ( sK113(Eq_x_0) = sK113(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_940,axiom,
    ( sK114(Eq_x_0) = sK114(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_941,axiom,
    ( sK115(Eq_x_0) = sK115(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_942,axiom,
    ( sK116(Eq_x_0) = sK116(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_943,axiom,
    ( sK117(Eq_x_0) = sK117(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_944,axiom,
    ( sK118(Eq_x_0) = sK118(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_945,axiom,
    ( sK119(Eq_x_0) = sK119(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_946,axiom,
    ( sK120(Eq_x_0) = sK120(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_947,axiom,
    ( sK121(Eq_x_0) = sK121(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_948,axiom,
    ( sK122(Eq_x_0) = sK122(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_949,axiom,
    ( sK123(Eq_x_0) = sK123(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_950,axiom,
    ( sK124(Eq_x_0) = sK124(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_951,axiom,
    ( sK125(Eq_x_0) = sK125(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_952,axiom,
    ( sK126(Eq_x_0) = sK126(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_953,axiom,
    ( sK127(Eq_x_0) = sK127(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_954,axiom,
    ( sK128(Eq_x_0) = sK128(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_955,axiom,
    ( sK129(Eq_x_0) = sK129(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_956,axiom,
    ( sK130(Eq_x_0) = sK130(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_957,axiom,
    ( sK131(Eq_x_0) = sK131(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_958,axiom,
    ( sK132(Eq_x_0) = sK132(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_959,axiom,
    ( sK133(Eq_x_0) = sK133(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_960,axiom,
    ( sK134(Eq_x_0) = sK134(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_961,axiom,
    ( sK135(Eq_x_0) = sK135(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_962,axiom,
    ( sK136(Eq_x_0) = sK136(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_963,axiom,
    ( sK137(Eq_x_0) = sK137(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_964,axiom,
    ( sK138(Eq_x_0) = sK138(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_965,axiom,
    ( sK139(Eq_x_0) = sK139(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_966,axiom,
    ( sK140(Eq_x_0) = sK140(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_967,axiom,
    ( sK141(Eq_x_0) = sK141(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_968,axiom,
    ( sK142(Eq_x_0) = sK142(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_969,axiom,
    ( sK143(Eq_x_0) = sK143(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_970,axiom,
    ( sK144(Eq_x_0) = sK144(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_971,axiom,
    ( sK145(Eq_x_0) = sK145(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_972,axiom,
    ( sK146(Eq_x_0) = sK146(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_973,axiom,
    ( sK147(Eq_x_0) = sK147(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_974,axiom,
    ( sK148(Eq_x_0) = sK148(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_975,axiom,
    ( sK149(Eq_x_0) = sK149(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_976,axiom,
    ( sK150(Eq_x_0) = sK150(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_977,axiom,
    ( sK151(Eq_x_0) = sK151(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_978,axiom,
    ( sK152(Eq_x_0) = sK152(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_979,axiom,
    ( sK153(Eq_x_0) = sK153(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_980,axiom,
    ( sK154(Eq_x_0) = sK154(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_981,axiom,
    ( sK155(Eq_x_0) = sK155(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_982,axiom,
    ( sK156(Eq_x_0) = sK156(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_983,axiom,
    ( sK157(Eq_x_0) = sK157(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_984,axiom,
    ( sK158(Eq_x_0) = sK158(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_985,axiom,
    ( sK159(Eq_x_0) = sK159(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_986,axiom,
    ( sK160(Eq_x_0) = sK160(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_987,axiom,
    ( sK161(Eq_x_0) = sK161(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_988,axiom,
    ( sK162(Eq_x_0) = sK162(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_989,axiom,
    ( sK163(Eq_x_0) = sK163(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_990,axiom,
    ( sK164(Eq_x_0) = sK164(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_991,axiom,
    ( sK165(Eq_x_0) = sK165(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_992,axiom,
    ( sK166(Eq_x_0) = sK166(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_993,axiom,
    ( sK167(Eq_x_0) = sK167(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_994,axiom,
    ( sK168(Eq_x_0) = sK168(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_995,axiom,
    ( sK169(Eq_x_0) = sK169(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_996,axiom,
    ( sK170(Eq_x_0) = sK170(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_997,axiom,
    ( sK171(Eq_x_0) = sK171(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_998,axiom,
    ( sK172(Eq_x_0) = sK172(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_999,axiom,
    ( sK173(Eq_x_0) = sK173(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1000,axiom,
    ( sK174(Eq_x_0) = sK174(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1001,axiom,
    ( sK175(Eq_x_0) = sK175(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1002,axiom,
    ( sK176(Eq_x_0) = sK176(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1003,axiom,
    ( sK177(Eq_x_0) = sK177(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1004,axiom,
    ( sK178(Eq_x_0) = sK178(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1005,axiom,
    ( sK179(Eq_x_0) = sK179(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1006,axiom,
    ( sK180(Eq_x_0) = sK180(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1007,axiom,
    ( sK181(Eq_x_0) = sK181(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1008,axiom,
    ( sK182(Eq_x_0) = sK182(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1009,axiom,
    ( sK183(Eq_x_0) = sK183(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1010,axiom,
    ( sK184(Eq_x_0) = sK184(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1011,axiom,
    ( sK185(Eq_x_0) = sK185(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1012,axiom,
    ( sK186(Eq_x_0) = sK186(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1013,axiom,
    ( sK187(Eq_x_0) = sK187(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1014,axiom,
    ( sK188(Eq_x_0) = sK188(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1015,axiom,
    ( sK189(Eq_x_0) = sK189(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1016,axiom,
    ( sK190(Eq_x_0) = sK190(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1017,axiom,
    ( sK191(Eq_x_0) = sK191(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1018,axiom,
    ( sK192(Eq_x_0) = sK192(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1019,axiom,
    ( sK193(Eq_x_0) = sK193(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1020,axiom,
    ( sK194(Eq_x_0) = sK194(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1021,axiom,
    ( sK195(Eq_x_0) = sK195(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1022,axiom,
    ( sK196(Eq_x_0) = sK196(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1023,axiom,
    ( sK197(Eq_x_0) = sK197(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1024,axiom,
    ( sK198(Eq_x_0) = sK198(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1025,axiom,
    ( sK199(Eq_x_0) = sK199(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1026,axiom,
    ( sK200(Eq_x_0) = sK200(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1027,axiom,
    ( sK201(Eq_x_0) = sK201(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1028,axiom,
    ( sK202(Eq_x_0) = sK202(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1029,axiom,
    ( sK203(Eq_x_0) = sK203(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1030,axiom,
    ( sK204(Eq_x_0) = sK204(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1031,axiom,
    ( sK205(Eq_x_0) = sK205(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1032,axiom,
    ( sK206(Eq_x_0) = sK206(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1033,axiom,
    ( sK207(Eq_x_0) = sK207(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1034,axiom,
    ( sK208(Eq_x_0) = sK208(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1035,axiom,
    ( sK209(Eq_x_0) = sK209(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1036,axiom,
    ( sK210(Eq_x_0) = sK210(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1037,axiom,
    ( sK211(Eq_x_0) = sK211(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1038,axiom,
    ( sK212(Eq_x_0) = sK212(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1039,axiom,
    ( sK213(Eq_x_0) = sK213(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1040,axiom,
    ( sK214(Eq_x_0) = sK214(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1041,axiom,
    ( sK215(Eq_x_0) = sK215(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1042,axiom,
    ( sK216(Eq_x_0) = sK216(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1043,axiom,
    ( sK217(Eq_x_0) = sK217(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1044,axiom,
    ( sK218(Eq_x_0) = sK218(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1045,axiom,
    ( sK219(Eq_x_0) = sK219(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1046,axiom,
    ( sK220(Eq_x_0) = sK220(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1047,axiom,
    ( sK221(Eq_x_0) = sK221(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1048,axiom,
    ( sK222(Eq_x_0) = sK222(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1049,axiom,
    ( sK223(Eq_x_0) = sK223(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1050,axiom,
    ( sK224(Eq_x_0) = sK224(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1051,axiom,
    ( sK225(Eq_x_0) = sK225(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1052,axiom,
    ( sK226(Eq_x_0) = sK226(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1053,axiom,
    ( sK227(Eq_x_0) = sK227(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1054,axiom,
    ( sK228(Eq_x_0) = sK228(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1055,axiom,
    ( sK229(Eq_x_0) = sK229(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1056,axiom,
    ( sK230(Eq_x_0) = sK230(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1057,axiom,
    ( sK231(Eq_x_0) = sK231(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1058,axiom,
    ( sK232(Eq_x_0) = sK232(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1059,axiom,
    ( sK233(Eq_x_0) = sK233(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1060,axiom,
    ( sK234(Eq_x_0) = sK234(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1061,axiom,
    ( sK235(Eq_x_0) = sK235(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1062,axiom,
    ( sK236(Eq_x_0) = sK236(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1063,axiom,
    ( sK237(Eq_x_0) = sK237(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1064,axiom,
    ( sK238(Eq_x_0) = sK238(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1065,axiom,
    ( sK239(Eq_x_0) = sK239(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1066,axiom,
    ( sK240(Eq_x_0) = sK240(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1067,axiom,
    ( sK241(Eq_x_0) = sK241(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1068,axiom,
    ( sK242(Eq_x_0) = sK242(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1069,axiom,
    ( sK243(Eq_x_0) = sK243(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1070,axiom,
    ( sK244(Eq_x_0) = sK244(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1071,axiom,
    ( sK245(Eq_x_0) = sK245(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1072,axiom,
    ( sK246(Eq_x_0) = sK246(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1073,axiom,
    ( sK247(Eq_x_0) = sK247(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1074,axiom,
    ( sK248(Eq_x_0) = sK248(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1075,axiom,
    ( sK249(Eq_x_0) = sK249(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1076,axiom,
    ( sK250(Eq_x_0) = sK250(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1077,axiom,
    ( sK251(Eq_x_0) = sK251(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1078,axiom,
    ( sK252(Eq_x_0) = sK252(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1079,axiom,
    ( sK253(Eq_x_0) = sK253(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1080,axiom,
    ( sK254(Eq_x_0) = sK254(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1081,axiom,
    ( sK255(Eq_x_0) = sK255(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1082,axiom,
    ( sK256(Eq_x_0) = sK256(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1083,axiom,
    ( sK257(Eq_x_0) = sK257(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1084,axiom,
    ( sK258(Eq_x_0) = sK258(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1085,axiom,
    ( sK259(Eq_x_0) = sK259(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1086,axiom,
    ( sK260(Eq_x_0) = sK260(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1087,axiom,
    ( sK261(Eq_x_0) = sK261(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1088,axiom,
    ( sK262(Eq_x_0) = sK262(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1089,axiom,
    ( sK263(Eq_x_0) = sK263(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1090,axiom,
    ( sK264(Eq_x_0) = sK264(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1091,axiom,
    ( sK265(Eq_x_0) = sK265(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1092,axiom,
    ( sK266(Eq_x_0) = sK266(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1093,axiom,
    ( sK267(Eq_x_0) = sK267(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1094,axiom,
    ( sK268(Eq_x_0) = sK268(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1095,axiom,
    ( sK269(Eq_x_0) = sK269(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1096,axiom,
    ( sK270(Eq_x_0) = sK270(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1097,axiom,
    ( sK271(Eq_x_0) = sK271(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1098,axiom,
    ( sK272(Eq_x_0) = sK272(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1099,axiom,
    ( sK273(Eq_x_0) = sK273(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1100,axiom,
    ( sK274(Eq_x_0) = sK274(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1101,axiom,
    ( sK275(Eq_x_0) = sK275(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1102,axiom,
    ( sK276(Eq_x_0) = sK276(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1103,axiom,
    ( sK277(Eq_x_0) = sK277(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1104,axiom,
    ( sK278(Eq_x_0) = sK278(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1105,axiom,
    ( sK279(Eq_x_0) = sK279(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1106,axiom,
    ( sK280(Eq_x_0) = sK280(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1107,axiom,
    ( sK281(Eq_x_0) = sK281(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1108,axiom,
    ( sK282(Eq_x_0) = sK282(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1109,axiom,
    ( sK283(Eq_x_0) = sK283(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1110,axiom,
    ( sK284(Eq_x_0) = sK284(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1111,axiom,
    ( sK285(Eq_x_0) = sK285(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1112,axiom,
    ( sK286(Eq_x_0) = sK286(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1113,axiom,
    ( sK287(Eq_x_0) = sK287(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1114,axiom,
    ( sK288(Eq_x_0) = sK288(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1115,axiom,
    ( sK289(Eq_x_0) = sK289(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1116,axiom,
    ( sK290(Eq_x_0) = sK290(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1117,axiom,
    ( sK291(Eq_x_0) = sK291(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1118,axiom,
    ( sK292(Eq_x_0) = sK292(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1119,axiom,
    ( sK293(Eq_x_0) = sK293(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1120,axiom,
    ( sK294(Eq_x_0) = sK294(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1121,axiom,
    ( sK295(Eq_x_0) = sK295(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1122,axiom,
    ( sK296(Eq_x_0) = sK296(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1123,axiom,
    ( sK297(Eq_x_0) = sK297(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1124,axiom,
    ( sK298(Eq_x_0) = sK298(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1125,axiom,
    ( sK299(Eq_x_0) = sK299(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1126,axiom,
    ( sK300(Eq_x_0) = sK300(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1127,axiom,
    ( sK301(Eq_x_0) = sK301(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1128,axiom,
    ( sK302(Eq_x_0) = sK302(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1129,axiom,
    ( sK303(Eq_x_0) = sK303(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1130,axiom,
    ( sK304(Eq_x_0) = sK304(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1131,axiom,
    ( sK305(Eq_x_0) = sK305(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1132,axiom,
    ( sK306(Eq_x_0) = sK306(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1133,axiom,
    ( sK307(Eq_x_0) = sK307(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1134,axiom,
    ( sK308(Eq_x_0) = sK308(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1135,axiom,
    ( sK309(Eq_x_0) = sK309(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1136,axiom,
    ( sK310(Eq_x_0) = sK310(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1137,axiom,
    ( sK311(Eq_x_0) = sK311(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1138,axiom,
    ( sK312(Eq_x_0) = sK312(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1139,axiom,
    ( sK313(Eq_x_0) = sK313(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1140,axiom,
    ( sK314(Eq_x_0) = sK314(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1141,axiom,
    ( sK315(Eq_x_0) = sK315(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1142,axiom,
    ( sK316(Eq_x_0) = sK316(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1143,axiom,
    ( sK317(Eq_x_0) = sK317(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1144,axiom,
    ( sK318(Eq_x_0) = sK318(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1145,axiom,
    ( sK319(Eq_x_0) = sK319(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1146,axiom,
    ( sK320(Eq_x_0) = sK320(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1147,axiom,
    ( sK321(Eq_x_0) = sK321(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1148,axiom,
    ( sK322(Eq_x_0) = sK322(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1149,axiom,
    ( sK323(Eq_x_0) = sK323(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1150,axiom,
    ( sK324(Eq_x_0) = sK324(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1151,axiom,
    ( sK325(Eq_x_0) = sK325(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1152,axiom,
    ( sK326(Eq_x_0) = sK326(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1153,axiom,
    ( sK327(Eq_x_0) = sK327(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1154,axiom,
    ( sK328(Eq_x_0) = sK328(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1155,axiom,
    ( sK329(Eq_x_0) = sK329(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1156,axiom,
    ( sK330(Eq_x_0) = sK330(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1157,axiom,
    ( sK331(Eq_x_0) = sK331(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1158,axiom,
    ( sK332(Eq_x_0) = sK332(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1159,axiom,
    ( sK333(Eq_x_0) = sK333(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1160,axiom,
    ( sK334(Eq_x_0) = sK334(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1161,axiom,
    ( sK335(Eq_x_0) = sK335(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1162,axiom,
    ( sK336(Eq_x_0) = sK336(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1163,axiom,
    ( sK337(Eq_x_0) = sK337(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1164,axiom,
    ( sK338(Eq_x_0) = sK338(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1165,axiom,
    ( sK339(Eq_x_0) = sK339(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1166,axiom,
    ( sK340(Eq_x_0) = sK340(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1167,axiom,
    ( sK341(Eq_x_0) = sK341(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1168,axiom,
    ( sK342(Eq_x_0) = sK342(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1169,axiom,
    ( sK343(Eq_x_0) = sK343(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1170,axiom,
    ( sK344(Eq_x_0) = sK344(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1171,axiom,
    ( sK345(Eq_x_0) = sK345(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1172,axiom,
    ( sK346(Eq_x_0) = sK346(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1173,axiom,
    ( sK347(Eq_x_0) = sK347(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1174,axiom,
    ( sK348(Eq_x_0) = sK348(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1175,axiom,
    ( sK349(Eq_x_0) = sK349(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1176,axiom,
    ( sK350(Eq_x_0) = sK350(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1177,axiom,
    ( sK351(Eq_x_0) = sK351(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1178,axiom,
    ( sK352(Eq_x_0,Eq_x_1) = sK352(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1179,axiom,
    ( sK353(Eq_x_0,Eq_x_1) = sK353(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1180,axiom,
    ( sK354(Eq_x_0,Eq_x_1) = sK354(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1181,axiom,
    ( sK355(Eq_x_0,Eq_x_1) = sK355(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1182,axiom,
    ( sK356(Eq_x_0,Eq_x_1) = sK356(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1183,axiom,
    ( sK357(Eq_x_0,Eq_x_1) = sK357(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1184,axiom,
    ( sK358(Eq_x_0,Eq_x_1) = sK358(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1185,axiom,
    ( sK359(Eq_x_0,Eq_x_1) = sK359(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1186,axiom,
    ( sK360(Eq_x_0,Eq_x_1) = sK360(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1187,axiom,
    ( sK361(Eq_x_0,Eq_x_1) = sK361(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1188,axiom,
    ( sK362(Eq_x_0,Eq_x_1) = sK362(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1189,axiom,
    ( sK363(Eq_x_0,Eq_x_1) = sK363(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1190,axiom,
    ( sK364(Eq_x_0,Eq_x_1) = sK364(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1191,axiom,
    ( sK365(Eq_x_0,Eq_x_1) = sK365(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1192,axiom,
    ( sK366(Eq_x_0,Eq_x_1) = sK366(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1193,axiom,
    ( sK367(Eq_x_0,Eq_x_1) = sK367(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1194,axiom,
    ( sK368(Eq_x_0,Eq_x_1) = sK368(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1195,axiom,
    ( sK369(Eq_x_0,Eq_x_1) = sK369(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1196,axiom,
    ( sK370(Eq_x_0,Eq_x_1) = sK370(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1197,axiom,
    ( sK371(Eq_x_0,Eq_x_1) = sK371(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1198,axiom,
    ( sK372(Eq_x_0,Eq_x_1) = sK372(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1199,axiom,
    ( sK373(Eq_x_0,Eq_x_1) = sK373(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1200,axiom,
    ( sK374(Eq_x_0,Eq_x_1) = sK374(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1201,axiom,
    ( sK375(Eq_x_0,Eq_x_1) = sK375(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1202,axiom,
    ( sK376(Eq_x_0,Eq_x_1) = sK376(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1203,axiom,
    ( sK377(Eq_x_0,Eq_x_1) = sK377(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1204,axiom,
    ( sK378(Eq_x_0,Eq_x_1) = sK378(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1205,axiom,
    ( sK379(Eq_x_0,Eq_x_1) = sK379(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1206,axiom,
    ( sK380(Eq_x_0,Eq_x_1) = sK380(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1207,axiom,
    ( sK381(Eq_x_0,Eq_x_1) = sK381(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1208,axiom,
    ( sK382(Eq_x_0,Eq_x_1) = sK382(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1209,axiom,
    ( sK383(Eq_x_0,Eq_x_1) = sK383(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1210,axiom,
    ( sK384(Eq_x_0,Eq_x_1) = sK384(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1211,axiom,
    ( sK385(Eq_x_0,Eq_x_1) = sK385(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1212,axiom,
    ( sK386(Eq_x_0,Eq_x_1) = sK386(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1213,axiom,
    ( sK387(Eq_x_0,Eq_x_1) = sK387(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1214,axiom,
    ( sK388(Eq_x_0,Eq_x_1) = sK388(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1215,axiom,
    ( sK389(Eq_x_0,Eq_x_1) = sK389(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1216,axiom,
    ( sK390(Eq_x_0,Eq_x_1) = sK390(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1217,axiom,
    ( sK391(Eq_x_0,Eq_x_1) = sK391(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1218,axiom,
    ( sK392(Eq_x_0,Eq_x_1) = sK392(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1219,axiom,
    ( sK393(Eq_x_0,Eq_x_1) = sK393(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1220,axiom,
    ( sK394(Eq_x_0,Eq_x_1) = sK394(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1221,axiom,
    ( sK395(Eq_x_0,Eq_x_1) = sK395(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1222,axiom,
    ( sK396(Eq_x_0,Eq_x_1) = sK396(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1223,axiom,
    ( sK397(Eq_x_0,Eq_x_1) = sK397(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1224,axiom,
    ( sK398(Eq_x_0,Eq_x_1) = sK398(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1225,axiom,
    ( sK399(Eq_x_0,Eq_x_1) = sK399(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1226,axiom,
    ( sK400(Eq_x_0,Eq_x_1) = sK400(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1227,axiom,
    ( sK401(Eq_x_0,Eq_x_1) = sK401(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1228,axiom,
    ( sK402(Eq_x_0,Eq_x_1) = sK402(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1229,axiom,
    ( sK403(Eq_x_0,Eq_x_1) = sK403(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1230,axiom,
    ( sK404(Eq_x_0,Eq_x_1) = sK404(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1231,axiom,
    ( sK405(Eq_x_0,Eq_x_1) = sK405(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1232,axiom,
    ( sK406(Eq_x_0,Eq_x_1) = sK406(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1233,axiom,
    ( sK407(Eq_x_0,Eq_x_1) = sK407(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1234,axiom,
    ( sK408(Eq_x_0,Eq_x_1) = sK408(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1235,axiom,
    ( sK409(Eq_x_0,Eq_x_1) = sK409(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1236,axiom,
    ( sK410(Eq_x_0,Eq_x_1) = sK410(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1237,axiom,
    ( sK411(Eq_x_0,Eq_x_1) = sK411(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1238,axiom,
    ( sK412(Eq_x_0,Eq_x_1) = sK412(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1239,axiom,
    ( sK413(Eq_x_0,Eq_x_1) = sK413(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1240,axiom,
    ( sK414(Eq_x_0,Eq_x_1) = sK414(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1241,axiom,
    ( sK415(Eq_x_0,Eq_x_1) = sK415(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1242,axiom,
    ( sK416(Eq_x_0,Eq_x_1) = sK416(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1243,axiom,
    ( sK417(Eq_x_0,Eq_x_1) = sK417(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1244,axiom,
    ( sK418(Eq_x_0,Eq_x_1) = sK418(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1245,axiom,
    ( sK419(Eq_x_0,Eq_x_1) = sK419(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1246,axiom,
    ( sK420(Eq_x_0,Eq_x_1) = sK420(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1247,axiom,
    ( sK421(Eq_x_0,Eq_x_1) = sK421(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1248,axiom,
    ( sK422(Eq_x_0,Eq_x_1) = sK422(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1249,axiom,
    ( sK423(Eq_x_0,Eq_x_1) = sK423(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1250,axiom,
    ( sK424(Eq_x_0,Eq_x_1) = sK424(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1251,axiom,
    ( sK425(Eq_x_0,Eq_x_1) = sK425(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1252,axiom,
    ( sK426(Eq_x_0,Eq_x_1) = sK426(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1253,axiom,
    ( sK427(Eq_x_0,Eq_x_1) = sK427(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1254,axiom,
    ( sK428(Eq_x_0,Eq_x_1) = sK428(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1255,axiom,
    ( sK429(Eq_x_0,Eq_x_1) = sK429(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1256,axiom,
    ( sK430(Eq_x_0,Eq_x_1) = sK430(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1257,axiom,
    ( sK431(Eq_x_0,Eq_x_1) = sK431(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1258,axiom,
    ( sK432(Eq_x_0,Eq_x_1) = sK432(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1259,axiom,
    ( sK433(Eq_x_0,Eq_x_1) = sK433(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1260,axiom,
    ( sK434(Eq_x_0,Eq_x_1) = sK434(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1261,axiom,
    ( sK435(Eq_x_0,Eq_x_1) = sK435(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1262,axiom,
    ( sK436(Eq_x_0,Eq_x_1) = sK436(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1263,axiom,
    ( sK437(Eq_x_0,Eq_x_1) = sK437(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1264,axiom,
    ( sK438(Eq_x_0,Eq_x_1) = sK438(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1265,axiom,
    ( sK439(Eq_x_0,Eq_x_1) = sK439(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1266,axiom,
    ( sK440(Eq_x_0,Eq_x_1) = sK440(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1267,axiom,
    ( sK441(Eq_x_0,Eq_x_1) = sK441(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1268,axiom,
    ( sK442(Eq_x_0,Eq_x_1) = sK442(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1269,axiom,
    ( sK443(Eq_x_0,Eq_x_1) = sK443(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1270,axiom,
    ( sK444(Eq_x_0,Eq_x_1) = sK444(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1271,axiom,
    ( sK445(Eq_x_0,Eq_x_1) = sK445(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1272,axiom,
    ( sK446(Eq_x_0,Eq_x_1) = sK446(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1273,axiom,
    ( sK447(Eq_x_0,Eq_x_1) = sK447(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1274,axiom,
    ( sK448(Eq_x_0,Eq_x_1) = sK448(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1275,axiom,
    ( sK449(Eq_x_0,Eq_x_1) = sK449(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1276,axiom,
    ( sK450(Eq_x_0,Eq_x_1) = sK450(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1277,axiom,
    ( sK451(Eq_x_0,Eq_x_1) = sK451(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1278,axiom,
    ( sK452(Eq_x_0,Eq_x_1) = sK452(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1279,axiom,
    ( sK453(Eq_x_0,Eq_x_1) = sK453(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1280,axiom,
    ( sK454(Eq_x_0,Eq_x_1) = sK454(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1281,axiom,
    ( sK455(Eq_x_0,Eq_x_1) = sK455(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1282,axiom,
    ( sK456(Eq_x_0,Eq_x_1) = sK456(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1283,axiom,
    ( sK457(Eq_x_0,Eq_x_1) = sK457(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1284,axiom,
    ( sK458(Eq_x_0,Eq_x_1) = sK458(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1285,axiom,
    ( sK459(Eq_x_0,Eq_x_1) = sK459(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1286,axiom,
    ( sK460(Eq_x_0,Eq_x_1) = sK460(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1287,axiom,
    ( sK461(Eq_x_0,Eq_x_1) = sK461(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1288,axiom,
    ( sK462(Eq_x_0,Eq_x_1) = sK462(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1289,axiom,
    ( sK463(Eq_x_0,Eq_x_1) = sK463(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1290,axiom,
    ( sK464(Eq_x_0,Eq_x_1) = sK464(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1291,axiom,
    ( sK465(Eq_x_0,Eq_x_1) = sK465(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1292,axiom,
    ( sK466(Eq_x_0,Eq_x_1) = sK466(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1293,axiom,
    ( sK467(Eq_x_0,Eq_x_1) = sK467(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1294,axiom,
    ( sK468(Eq_x_0,Eq_x_1) = sK468(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1295,axiom,
    ( sK469(Eq_x_0,Eq_x_1) = sK469(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1296,axiom,
    ( sK470(Eq_x_0,Eq_x_1) = sK470(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1297,axiom,
    ( sK471(Eq_x_0,Eq_x_1) = sK471(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1298,axiom,
    ( sK472(Eq_x_0,Eq_x_1) = sK472(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1299,axiom,
    ( sK473(Eq_x_0,Eq_x_1) = sK473(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1300,axiom,
    ( sK474(Eq_x_0,Eq_x_1) = sK474(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1301,axiom,
    ( sK475(Eq_x_0,Eq_x_1) = sK475(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1302,axiom,
    ( sK476(Eq_x_0,Eq_x_1) = sK476(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1303,axiom,
    ( sK477(Eq_x_0,Eq_x_1) = sK477(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1304,axiom,
    ( sK478(Eq_x_0,Eq_x_1) = sK478(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1305,axiom,
    ( sK479(Eq_x_0,Eq_x_1) = sK479(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1306,axiom,
    ( sK480(Eq_x_0,Eq_x_1) = sK480(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1307,axiom,
    ( sK481(Eq_x_0,Eq_x_1) = sK481(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1308,axiom,
    ( sK482(Eq_x_0,Eq_x_1) = sK482(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1309,axiom,
    ( sK483(Eq_x_0,Eq_x_1) = sK483(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1310,axiom,
    ( sK484(Eq_x_0,Eq_x_1) = sK484(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1311,axiom,
    ( sK485(Eq_x_0,Eq_x_1) = sK485(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1312,axiom,
    ( sK486(Eq_x_0,Eq_x_1) = sK486(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1313,axiom,
    ( sK487(Eq_x_0,Eq_x_1) = sK487(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1314,axiom,
    ( sK488(Eq_x_0,Eq_x_1) = sK488(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1315,axiom,
    ( sK489(Eq_x_0,Eq_x_1) = sK489(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1316,axiom,
    ( sK490(Eq_x_0,Eq_x_1) = sK490(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1317,axiom,
    ( sK491(Eq_x_0,Eq_x_1) = sK491(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1318,axiom,
    ( sK492(Eq_x_0,Eq_x_1) = sK492(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1319,axiom,
    ( sK493(Eq_x_0,Eq_x_1) = sK493(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1320,axiom,
    ( sK494(Eq_x_0,Eq_x_1) = sK494(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1321,axiom,
    ( sK495(Eq_x_0,Eq_x_1) = sK495(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1322,axiom,
    ( sK496(Eq_x_0,Eq_x_1) = sK496(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1323,axiom,
    ( sK497(Eq_x_0,Eq_x_1) = sK497(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1324,axiom,
    ( sK498(Eq_x_0,Eq_x_1) = sK498(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1325,axiom,
    ( sK499(Eq_x_0,Eq_x_1) = sK499(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1326,axiom,
    ( sK500(Eq_x_0,Eq_x_1) = sK500(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1327,axiom,
    ( sK501(Eq_x_0,Eq_x_1) = sK501(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1328,axiom,
    ( sK502(Eq_x_0,Eq_x_1) = sK502(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1329,axiom,
    ( sK503(Eq_x_0,Eq_x_1) = sK503(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1330,axiom,
    ( sK504(Eq_x_0,Eq_x_1) = sK504(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1331,axiom,
    ( sK505(Eq_x_0,Eq_x_1) = sK505(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1332,axiom,
    ( sK506(Eq_x_0,Eq_x_1) = sK506(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1333,axiom,
    ( sK507(Eq_x_0,Eq_x_1) = sK507(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1334,axiom,
    ( sK508(Eq_x_0,Eq_x_1) = sK508(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1335,axiom,
    ( sK509(Eq_x_0,Eq_x_1) = sK509(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1336,axiom,
    ( sK510(Eq_x_0,Eq_x_1) = sK510(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1337,axiom,
    ( sK511(Eq_x_0,Eq_x_1) = sK511(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1338,axiom,
    ( sK512(Eq_x_0,Eq_x_1) = sK512(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1339,axiom,
    ( sK513(Eq_x_0,Eq_x_1) = sK513(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1340,axiom,
    ( sK514(Eq_x_0,Eq_x_1) = sK514(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1341,axiom,
    ( sK515(Eq_x_0,Eq_x_1) = sK515(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1342,axiom,
    ( sK516(Eq_x_0,Eq_x_1) = sK516(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1343,axiom,
    ( sK517(Eq_x_0,Eq_x_1) = sK517(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1344,axiom,
    ( sK518(Eq_x_0,Eq_x_1) = sK518(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1345,axiom,
    ( sK519(Eq_x_0,Eq_x_1) = sK519(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1346,axiom,
    ( sK520(Eq_x_0,Eq_x_1) = sK520(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1347,axiom,
    ( sK521(Eq_x_0,Eq_x_1) = sK521(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1348,axiom,
    ( sK522(Eq_x_0,Eq_x_1) = sK522(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1349,axiom,
    ( sK523(Eq_x_0,Eq_x_1) = sK523(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1350,axiom,
    ( sK524(Eq_x_0,Eq_x_1) = sK524(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1351,axiom,
    ( sK525(Eq_x_0,Eq_x_1) = sK525(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1352,axiom,
    ( sK526(Eq_x_0,Eq_x_1) = sK526(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1353,axiom,
    ( sK527(Eq_x_0,Eq_x_1) = sK527(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1354,axiom,
    ( sK528(Eq_x_0,Eq_x_1) = sK528(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1355,axiom,
    ( sK529(Eq_x_0,Eq_x_1) = sK529(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1356,axiom,
    ( sK530(Eq_x_0,Eq_x_1) = sK530(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1357,axiom,
    ( sK531(Eq_x_0,Eq_x_1) = sK531(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1358,axiom,
    ( sK532(Eq_x_0,Eq_x_1) = sK532(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1359,axiom,
    ( sK533(Eq_x_0) = sK533(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1360,axiom,
    ( sK534(Eq_x_0) = sK534(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1361,axiom,
    ( sK535(Eq_x_0) = sK535(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1362,axiom,
    ( sK536(Eq_x_0) = sK536(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1363,axiom,
    ( sK537(Eq_x_0) = sK537(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1364,axiom,
    ( sK538(Eq_x_0) = sK538(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1365,axiom,
    ( sK539(Eq_x_0) = sK539(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1366,axiom,
    ( sK540(Eq_x_0) = sK540(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1367,axiom,
    ( sK541(Eq_x_0) = sK541(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1368,axiom,
    ( sK542(Eq_x_0) = sK542(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1369,axiom,
    ( sK543(Eq_x_0) = sK543(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1370,axiom,
    ( sK544(Eq_x_0) = sK544(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1371,axiom,
    ( sK545(Eq_x_0) = sK545(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1372,axiom,
    ( sK546(Eq_x_0) = sK546(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1373,axiom,
    ( sK547(Eq_x_0) = sK547(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1374,axiom,
    ( sK548(Eq_x_0) = sK548(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1375,axiom,
    ( sK549(Eq_x_0) = sK549(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1376,axiom,
    ( sK550(Eq_x_0) = sK550(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1377,axiom,
    ( sK551(Eq_x_0) = sK551(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1378,axiom,
    ( sK552(Eq_x_0) = sK552(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1379,axiom,
    ( sK553(Eq_x_0) = sK553(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1380,axiom,
    ( sK554(Eq_x_0) = sK554(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1381,axiom,
    ( sK555(Eq_x_0) = sK555(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1382,axiom,
    ( sK556(Eq_x_0) = sK556(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1383,axiom,
    ( sK557(Eq_x_0) = sK557(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1384,axiom,
    ( sK558(Eq_x_0) = sK558(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1385,axiom,
    ( sK559(Eq_x_0) = sK559(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1386,axiom,
    ( sK560(Eq_x_0) = sK560(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1387,axiom,
    ( sK561(Eq_x_0) = sK561(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1388,axiom,
    ( sK562(Eq_x_0) = sK562(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1389,axiom,
    ( sK563(Eq_x_0) = sK563(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1390,axiom,
    ( sK564(Eq_x_0) = sK564(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1391,axiom,
    ( sK565(Eq_x_0) = sK565(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1392,axiom,
    ( sK566(Eq_x_0) = sK566(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1393,axiom,
    ( sK567(Eq_x_0) = sK567(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1394,axiom,
    ( sK568(Eq_x_0) = sK568(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1395,axiom,
    ( sK569(Eq_x_0) = sK569(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1396,axiom,
    ( sK570(Eq_x_0) = sK570(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1397,axiom,
    ( sK571(Eq_x_0) = sK571(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1398,axiom,
    ( sK572(Eq_x_0) = sK572(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1399,axiom,
    ( sK573(Eq_x_0) = sK573(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1400,axiom,
    ( sK574(Eq_x_0) = sK574(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1401,axiom,
    ( sK575(Eq_x_0) = sK575(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1402,axiom,
    ( sK576(Eq_x_0) = sK576(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1403,axiom,
    ( sK577(Eq_x_0) = sK577(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1404,axiom,
    ( sK578(Eq_x_0) = sK578(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1405,axiom,
    ( sK579(Eq_x_0) = sK579(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1406,axiom,
    ( sK580(Eq_x_0) = sK580(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1407,axiom,
    ( sK581(Eq_x_0) = sK581(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1408,axiom,
    ( sK582(Eq_x_0) = sK582(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1409,axiom,
    ( sK583(Eq_x_0) = sK583(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1410,axiom,
    ( sK584(Eq_x_0) = sK584(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1411,axiom,
    ( sK585(Eq_x_0) = sK585(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1412,axiom,
    ( sK586(Eq_x_0) = sK586(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1413,axiom,
    ( sK587(Eq_x_0) = sK587(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1414,axiom,
    ( sK588(Eq_x_0) = sK588(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1415,axiom,
    ( sK589(Eq_x_0) = sK589(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1416,axiom,
    ( sK590(Eq_x_0) = sK590(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1417,axiom,
    ( sK591(Eq_x_0) = sK591(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1418,axiom,
    ( sK592(Eq_x_0) = sK592(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1419,axiom,
    ( sK593(Eq_x_0) = sK593(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1420,axiom,
    ( sK594(Eq_x_0) = sK594(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1421,axiom,
    ( sK595(Eq_x_0) = sK595(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1422,axiom,
    ( sK596(Eq_x_0) = sK596(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1423,axiom,
    ( sK597(Eq_x_0) = sK597(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1424,axiom,
    ( sK598(Eq_x_0) = sK598(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1425,axiom,
    ( sK599(Eq_x_0) = sK599(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1426,axiom,
    ( sK600(Eq_x_0) = sK600(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1427,axiom,
    ( sK601(Eq_x_0) = sK601(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1428,axiom,
    ( sK602(Eq_x_0) = sK602(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1429,axiom,
    ( sK603(Eq_x_0) = sK603(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1430,axiom,
    ( sK604(Eq_x_0) = sK604(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1431,axiom,
    ( sK605(Eq_x_0) = sK605(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1432,axiom,
    ( sK606(Eq_x_0) = sK606(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1433,axiom,
    ( sK607(Eq_x_0) = sK607(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1434,axiom,
    ( sK608(Eq_x_0) = sK608(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1435,axiom,
    ( sK609(Eq_x_0) = sK609(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1436,axiom,
    ( sK610(Eq_x_0) = sK610(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1437,axiom,
    ( sK611(Eq_x_0) = sK611(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1438,axiom,
    ( sK612(Eq_x_0) = sK612(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1439,axiom,
    ( sK613(Eq_x_0) = sK613(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1440,axiom,
    ( sK614(Eq_x_0) = sK614(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1441,axiom,
    ( sK615(Eq_x_0) = sK615(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1442,axiom,
    ( sK616(Eq_x_0) = sK616(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1443,axiom,
    ( sK617(Eq_x_0) = sK617(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1444,axiom,
    ( sK618(Eq_x_0) = sK618(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1445,axiom,
    ( sK619(Eq_x_0) = sK619(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1446,axiom,
    ( sK620(Eq_x_0) = sK620(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1447,axiom,
    ( sK621(Eq_x_0) = sK621(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1448,axiom,
    ( sK622(Eq_x_0) = sK622(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1449,axiom,
    ( sK623(Eq_x_0) = sK623(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1450,axiom,
    ( sK624(Eq_x_0) = sK624(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1451,axiom,
    ( sK625(Eq_x_0) = sK625(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1452,axiom,
    ( sK626(Eq_x_0) = sK626(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1453,axiom,
    ( sK627(Eq_x_0) = sK627(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1454,axiom,
    ( sK628(Eq_x_0) = sK628(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1455,axiom,
    ( sK629(Eq_x_0) = sK629(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1456,axiom,
    ( sK630(Eq_x_0) = sK630(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1457,axiom,
    ( sK631(Eq_x_0) = sK631(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1458,axiom,
    ( sK632(Eq_x_0) = sK632(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1459,axiom,
    ( sK633(Eq_x_0) = sK633(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1460,axiom,
    ( sK634(Eq_x_0) = sK634(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1461,axiom,
    ( sK635(Eq_x_0) = sK635(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1462,axiom,
    ( sK636(Eq_x_0) = sK636(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1463,axiom,
    ( sK637(Eq_x_0) = sK637(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1464,axiom,
    ( sK638(Eq_x_0) = sK638(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1465,axiom,
    ( sK639(Eq_x_0) = sK639(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1466,axiom,
    ( sK640(Eq_x_0) = sK640(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1467,axiom,
    ( sK641(Eq_x_0) = sK641(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1468,axiom,
    ( sK642(Eq_x_0) = sK642(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1469,axiom,
    ( sK643(Eq_x_0) = sK643(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1470,axiom,
    ( sK644(Eq_x_0) = sK644(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1471,axiom,
    ( sK645(Eq_x_0,Eq_x_1) = sK645(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1472,axiom,
    ( sK646(Eq_x_0,Eq_x_1) = sK646(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1473,axiom,
    ( sK647(Eq_x_0,Eq_x_1) = sK647(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1474,axiom,
    ( sK648(Eq_x_0,Eq_x_1) = sK648(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1475,axiom,
    ( sK649(Eq_x_0,Eq_x_1) = sK649(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1476,axiom,
    ( sK650(Eq_x_0,Eq_x_1) = sK650(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1477,axiom,
    ( sK651(Eq_x_0,Eq_x_1) = sK651(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1478,axiom,
    ( sK652(Eq_x_0,Eq_x_1) = sK652(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1479,axiom,
    ( sK653(Eq_x_0,Eq_x_1) = sK653(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1480,axiom,
    ( sK654(Eq_x_0,Eq_x_1) = sK654(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1481,axiom,
    ( sK655(Eq_x_0,Eq_x_1) = sK655(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1482,axiom,
    ( sK656(Eq_x_0,Eq_x_1) = sK656(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1483,axiom,
    ( sK657(Eq_x_0,Eq_x_1) = sK657(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1484,axiom,
    ( sK658(Eq_x_0,Eq_x_1) = sK658(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1485,axiom,
    ( sK659(Eq_x_0,Eq_x_1) = sK659(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1486,axiom,
    ( sK660(Eq_x_0,Eq_x_1) = sK660(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1487,axiom,
    ( sK661(Eq_x_0,Eq_x_1) = sK661(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1488,axiom,
    ( sK662(Eq_x_0,Eq_x_1) = sK662(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1489,axiom,
    ( sK663(Eq_x_0,Eq_x_1) = sK663(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1490,axiom,
    ( sK664(Eq_x_0,Eq_x_1) = sK664(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1491,axiom,
    ( sK665(Eq_x_0,Eq_x_1) = sK665(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1492,axiom,
    ( sK666(Eq_x_0,Eq_x_1) = sK666(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1493,axiom,
    ( sK667(Eq_x_0,Eq_x_1) = sK667(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1494,axiom,
    ( sK668(Eq_x_0,Eq_x_1) = sK668(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1495,axiom,
    ( sK669(Eq_x_0,Eq_x_1) = sK669(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1496,axiom,
    ( sK670(Eq_x_0,Eq_x_1) = sK670(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1497,axiom,
    ( sK671(Eq_x_0,Eq_x_1) = sK671(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1498,axiom,
    ( sK672(Eq_x_0,Eq_x_1) = sK672(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1499,axiom,
    ( sK673(Eq_x_0,Eq_x_1) = sK673(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1500,axiom,
    ( sK674(Eq_x_0,Eq_x_1) = sK674(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1501,axiom,
    ( sK675(Eq_x_0,Eq_x_1) = sK675(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1502,axiom,
    ( sK676(Eq_x_0,Eq_x_1) = sK676(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1503,axiom,
    ( sK677(Eq_x_0,Eq_x_1) = sK677(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1504,axiom,
    ( sK678(Eq_x_0,Eq_x_1) = sK678(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1505,axiom,
    ( sK679(Eq_x_0,Eq_x_1) = sK679(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1506,axiom,
    ( sK680(Eq_x_0,Eq_x_1) = sK680(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1507,axiom,
    ( sK681(Eq_x_0,Eq_x_1) = sK681(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1508,axiom,
    ( sK682(Eq_x_0,Eq_x_1) = sK682(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1509,axiom,
    ( sK683(Eq_x_0,Eq_x_1) = sK683(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1510,axiom,
    ( sK684(Eq_x_0,Eq_x_1) = sK684(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1511,axiom,
    ( sK685(Eq_x_0,Eq_x_1) = sK685(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1512,axiom,
    ( sK686(Eq_x_0,Eq_x_1) = sK686(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1513,axiom,
    ( sK687(Eq_x_0,Eq_x_1) = sK687(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1514,axiom,
    ( sK688(Eq_x_0,Eq_x_1) = sK688(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1515,axiom,
    ( sK689(Eq_x_0,Eq_x_1) = sK689(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1516,axiom,
    ( sK690(Eq_x_0,Eq_x_1) = sK690(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1517,axiom,
    ( sK691(Eq_x_0,Eq_x_1) = sK691(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1518,axiom,
    ( sK692(Eq_x_0,Eq_x_1) = sK692(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1519,axiom,
    ( sK693(Eq_x_0,Eq_x_1) = sK693(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1520,axiom,
    ( sK694(Eq_x_0,Eq_x_1) = sK694(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1521,axiom,
    ( sK695(Eq_x_0,Eq_x_1) = sK695(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1522,axiom,
    ( sK696(Eq_x_0,Eq_x_1) = sK696(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1523,axiom,
    ( sK697(Eq_x_0,Eq_x_1) = sK697(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1524,axiom,
    ( sK698(Eq_x_0,Eq_x_1) = sK698(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1525,axiom,
    ( sK699(Eq_x_0,Eq_x_1) = sK699(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1526,axiom,
    ( sK700(Eq_x_0,Eq_x_1) = sK700(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1527,axiom,
    ( sK701(Eq_x_0,Eq_x_1) = sK701(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1528,axiom,
    ( sK702(Eq_x_0,Eq_x_1) = sK702(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1529,axiom,
    ( sK703(Eq_x_0,Eq_x_1) = sK703(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1530,axiom,
    ( sK704(Eq_x_0,Eq_x_1) = sK704(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1531,axiom,
    ( sK705(Eq_x_0,Eq_x_1) = sK705(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1532,axiom,
    ( sK706(Eq_x_0,Eq_x_1) = sK706(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1533,axiom,
    ( sK707(Eq_x_0,Eq_x_1) = sK707(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1534,axiom,
    ( sK708(Eq_x_0,Eq_x_1) = sK708(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1535,axiom,
    ( sK709(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5) = sK709(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
    | Eq_x_5 != Eq_y_5
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1536,axiom,
    ( sK710(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = sK710(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1537,axiom,
    ( sK711(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = sK711(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1538,axiom,
    ( sK712(Eq_x_0,Eq_x_1) = sK712(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1539,axiom,
    ( sK713(Eq_x_0,Eq_x_1) = sK713(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1540,axiom,
    ( sK714(Eq_x_0,Eq_x_1) = sK714(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1541,axiom,
    ( sK715(Eq_x_0,Eq_x_1) = sK715(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1542,axiom,
    ( sK716(Eq_x_0,Eq_x_1) = sK716(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1543,axiom,
    ( sK717(Eq_x_0,Eq_x_1) = sK717(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1544,axiom,
    ( sK718(Eq_x_0,Eq_x_1) = sK718(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1545,axiom,
    ( sK719(Eq_x_0,Eq_x_1) = sK719(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1546,axiom,
    ( sK720(Eq_x_0,Eq_x_1,Eq_x_2) = sK720(Eq_y_0,Eq_y_1,Eq_y_2)
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1547,axiom,
    ( sK721(Eq_x_0,Eq_x_1,Eq_x_2) = sK721(Eq_y_0,Eq_y_1,Eq_y_2)
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1548,axiom,
    ( sK722(Eq_x_0,Eq_x_1,Eq_x_2) = sK722(Eq_y_0,Eq_y_1,Eq_y_2)
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1549,axiom,
    ( sK723(Eq_x_0,Eq_x_1,Eq_x_2) = sK723(Eq_y_0,Eq_y_1,Eq_y_2)
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1550,axiom,
    ( sK724(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4) = sK724(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1551,axiom,
    ( sK725(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = sK725(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1552,axiom,
    ( sK726(Eq_x_0,Eq_x_1) = sK726(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1553,axiom,
    ( sK727(Eq_x_0,Eq_x_1) = sK727(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1554,axiom,
    ( sK728(Eq_x_0,Eq_x_1) = sK728(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1555,axiom,
    ( sK729(Eq_x_0,Eq_x_1) = sK729(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1556,axiom,
    ( sK730(Eq_x_0,Eq_x_1) = sK730(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1557,axiom,
    ( sK731(Eq_x_0,Eq_x_1) = sK731(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1558,axiom,
    ( sK732(Eq_x_0) = sK732(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1559,axiom,
    ( sK733(Eq_x_0) = sK733(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1560,axiom,
    ( sK734(Eq_x_0) = sK734(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1561,axiom,
    ( sK735(Eq_x_0) = sK735(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1562,axiom,
    ( sK736(Eq_x_0) = sK736(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1563,axiom,
    ( sK737(Eq_x_0) = sK737(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1564,axiom,
    ( sK738(Eq_x_0) = sK738(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1565,axiom,
    ( sK739(Eq_x_0) = sK739(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1566,axiom,
    ( sK740(Eq_x_0) = sK740(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1567,axiom,
    ( sK741(Eq_x_0) = sK741(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1568,axiom,
    ( sK742(Eq_x_0,Eq_x_1,Eq_x_2) = sK742(Eq_y_0,Eq_y_1,Eq_y_2)
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1569,axiom,
    ( sK743(Eq_x_0,Eq_x_1,Eq_x_2) = sK743(Eq_y_0,Eq_y_1,Eq_y_2)
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1570,axiom,
    ( sK744(Eq_x_0,Eq_x_1,Eq_x_2) = sK744(Eq_y_0,Eq_y_1,Eq_y_2)
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1571,axiom,
    ( sK745(Eq_x_0,Eq_x_1,Eq_x_2) = sK745(Eq_y_0,Eq_y_1,Eq_y_2)
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1572,axiom,
    ( sK746(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5) = sK746(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
    | Eq_x_5 != Eq_y_5
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1573,axiom,
    ( sK747(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5) = sK747(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
    | Eq_x_5 != Eq_y_5
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1574,axiom,
    ( sK748(Eq_x_0,Eq_x_1) = sK748(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1575,axiom,
    ( sK749(Eq_x_0,Eq_x_1) = sK749(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1576,axiom,
    ( sK750(Eq_x_0,Eq_x_1) = sK750(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1577,axiom,
    ( sK751(Eq_x_0,Eq_x_1) = sK751(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1578,axiom,
    ( sK752(Eq_x_0,Eq_x_1) = sK752(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1579,axiom,
    ( sK753(Eq_x_0,Eq_x_1) = sK753(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1580,axiom,
    ( sK754(Eq_x_0,Eq_x_1) = sK754(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1581,axiom,
    ( sK755(Eq_x_0,Eq_x_1) = sK755(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1582,axiom,
    ( sK756(Eq_x_0,Eq_x_1) = sK756(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1583,axiom,
    ( sK757(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4) = sK757(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1584,axiom,
    ( sK758(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4) = sK758(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1585,axiom,
    ( sK759(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4) = sK759(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1586,axiom,
    ( sK760(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4) = sK760(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1587,axiom,
    ( sK761(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4) = sK761(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1588,axiom,
    ( sK762(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4) = sK762(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1589,axiom,
    ( sK763(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4) = sK763(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1590,axiom,
    ( sK764(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4) = sK764(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1591,axiom,
    ( sK765(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4) = sK765(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1592,axiom,
    ( sK766(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4) = sK766(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1593,axiom,
    ( sK767(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4) = sK767(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1594,axiom,
    ( sK768(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4) = sK768(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1595,axiom,
    ( sK769(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4) = sK769(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1596,axiom,
    ( sK770(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4) = sK770(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1597,axiom,
    ( sK771(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4) = sK771(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1598,axiom,
    ( sK772(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4) = sK772(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1599,axiom,
    ( sK773(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4) = sK773(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1600,axiom,
    ( sK774(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4) = sK774(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1601,axiom,
    ( sK775(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4) = sK775(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1602,axiom,
    ( sK776(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4) = sK776(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1603,axiom,
    ( sK777(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4) = sK777(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1604,axiom,
    ( sK778(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4) = sK778(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1605,axiom,
    ( sK779(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4) = sK779(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1606,axiom,
    ( sK780(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4) = sK780(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1607,axiom,
    ( sK781(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4) = sK781(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1608,axiom,
    ( sK782(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4) = sK782(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1609,axiom,
    ( sK783(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4) = sK783(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1610,axiom,
    ( sK784(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4) = sK784(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1611,axiom,
    ( sK785(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4) = sK785(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1612,axiom,
    ( sK786(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4) = sK786(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1613,axiom,
    ( sK787(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4) = sK787(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1614,axiom,
    ( sK788(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4) = sK788(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1615,axiom,
    ( sK789(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5) = sK789(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
    | Eq_x_5 != Eq_y_5
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1616,axiom,
    ( sK790(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5) = sK790(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
    | Eq_x_5 != Eq_y_5
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1617,axiom,
    ( sK791(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5) = sK791(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
    | Eq_x_5 != Eq_y_5
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1618,axiom,
    ( sK792(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5) = sK792(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
    | Eq_x_5 != Eq_y_5
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1619,axiom,
    ( sK793(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5) = sK793(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
    | Eq_x_5 != Eq_y_5
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1620,axiom,
    ( sK794(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5) = sK794(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
    | Eq_x_5 != Eq_y_5
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1621,axiom,
    ( sK795(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5) = sK795(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
    | Eq_x_5 != Eq_y_5
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1622,axiom,
    ( sK796(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5) = sK796(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
    | Eq_x_5 != Eq_y_5
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1623,axiom,
    ( sK797(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5) = sK797(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
    | Eq_x_5 != Eq_y_5
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1624,axiom,
    ( sK798(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5) = sK798(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
    | Eq_x_5 != Eq_y_5
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1625,axiom,
    ( sK799(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5) = sK799(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
    | Eq_x_5 != Eq_y_5
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1626,axiom,
    ( sK800(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5) = sK800(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
    | Eq_x_5 != Eq_y_5
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1627,axiom,
    ( sK801(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5) = sK801(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
    | Eq_x_5 != Eq_y_5
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1628,axiom,
    ( sK802(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5) = sK802(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
    | Eq_x_5 != Eq_y_5
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1629,axiom,
    ( sK803(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5) = sK803(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
    | Eq_x_5 != Eq_y_5
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1630,axiom,
    ( sK804(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5) = sK804(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
    | Eq_x_5 != Eq_y_5
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1631,axiom,
    ( sK805(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5) = sK805(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
    | Eq_x_5 != Eq_y_5
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1632,axiom,
    ( sK806(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5) = sK806(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
    | Eq_x_5 != Eq_y_5
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1633,axiom,
    ( sK807(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5) = sK807(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
    | Eq_x_5 != Eq_y_5
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1634,axiom,
    ( sK808(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5) = sK808(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
    | Eq_x_5 != Eq_y_5
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1635,axiom,
    ( sK809(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5) = sK809(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
    | Eq_x_5 != Eq_y_5
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1636,axiom,
    ( sK810(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5) = sK810(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
    | Eq_x_5 != Eq_y_5
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1637,axiom,
    ( sK811(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5) = sK811(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
    | Eq_x_5 != Eq_y_5
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1638,axiom,
    ( sK812(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5) = sK812(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
    | Eq_x_5 != Eq_y_5
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1639,axiom,
    ( sK813(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5) = sK813(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
    | Eq_x_5 != Eq_y_5
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1640,axiom,
    ( sK814(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5) = sK814(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
    | Eq_x_5 != Eq_y_5
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1641,axiom,
    ( sK815(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5) = sK815(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
    | Eq_x_5 != Eq_y_5
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1642,axiom,
    ( sK816(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5) = sK816(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
    | Eq_x_5 != Eq_y_5
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1643,axiom,
    ( sK817(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5) = sK817(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
    | Eq_x_5 != Eq_y_5
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1644,axiom,
    ( sK818(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5) = sK818(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
    | Eq_x_5 != Eq_y_5
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1645,axiom,
    ( sK819(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5) = sK819(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
    | Eq_x_5 != Eq_y_5
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1646,axiom,
    ( sK820(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5) = sK820(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
    | Eq_x_5 != Eq_y_5
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1647,axiom,
    ( sK821(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5) = sK821(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
    | Eq_x_5 != Eq_y_5
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1648,axiom,
    ( sK822(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5) = sK822(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
    | Eq_x_5 != Eq_y_5
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1649,axiom,
    ( sK823(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5) = sK823(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
    | Eq_x_5 != Eq_y_5
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1650,axiom,
    ( sK824(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5) = sK824(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
    | Eq_x_5 != Eq_y_5
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1651,axiom,
    ( sK825(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5) = sK825(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
    | Eq_x_5 != Eq_y_5
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1652,axiom,
    ( sK826(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5) = sK826(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
    | Eq_x_5 != Eq_y_5
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1653,axiom,
    ( sK827(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5) = sK827(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
    | Eq_x_5 != Eq_y_5
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1654,axiom,
    ( sK828(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5) = sK828(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
    | Eq_x_5 != Eq_y_5
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1655,axiom,
    ( sK829(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5) = sK829(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
    | Eq_x_5 != Eq_y_5
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1656,axiom,
    ( sK830(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5) = sK830(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
    | Eq_x_5 != Eq_y_5
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1657,axiom,
    ( sK831(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5) = sK831(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
    | Eq_x_5 != Eq_y_5
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1658,axiom,
    ( sK832(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5) = sK832(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
    | Eq_x_5 != Eq_y_5
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1659,axiom,
    ( sK833(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5) = sK833(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
    | Eq_x_5 != Eq_y_5
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1660,axiom,
    ( sK834(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5) = sK834(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
    | Eq_x_5 != Eq_y_5
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1661,axiom,
    ( sK835(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5) = sK835(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
    | Eq_x_5 != Eq_y_5
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1662,axiom,
    ( sK836(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5) = sK836(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
    | Eq_x_5 != Eq_y_5
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1663,axiom,
    ( sK837(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5) = sK837(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
    | Eq_x_5 != Eq_y_5
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1664,axiom,
    ( sK838(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5) = sK838(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
    | Eq_x_5 != Eq_y_5
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1665,axiom,
    ( sK839(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5) = sK839(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
    | Eq_x_5 != Eq_y_5
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1666,axiom,
    ( sK840(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5) = sK840(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
    | Eq_x_5 != Eq_y_5
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1667,axiom,
    ( sK841(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5) = sK841(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
    | Eq_x_5 != Eq_y_5
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1668,axiom,
    ( sK842(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5) = sK842(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
    | Eq_x_5 != Eq_y_5
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1669,axiom,
    ( sK843(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5) = sK843(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
    | Eq_x_5 != Eq_y_5
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1670,axiom,
    ( sK844(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5) = sK844(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
    | Eq_x_5 != Eq_y_5
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1671,axiom,
    ( sK845(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5) = sK845(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
    | Eq_x_5 != Eq_y_5
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1672,axiom,
    ( sK846(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5) = sK846(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
    | Eq_x_5 != Eq_y_5
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1673,axiom,
    ( sK847(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5) = sK847(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
    | Eq_x_5 != Eq_y_5
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1674,axiom,
    ( sK848(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5) = sK848(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
    | Eq_x_5 != Eq_y_5
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1675,axiom,
    ( sK849(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5) = sK849(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
    | Eq_x_5 != Eq_y_5
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1676,axiom,
    ( sK850(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5) = sK850(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
    | Eq_x_5 != Eq_y_5
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1677,axiom,
    ( sK851(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5) = sK851(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
    | Eq_x_5 != Eq_y_5
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1678,axiom,
    ( sK852(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5) = sK852(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
    | Eq_x_5 != Eq_y_5
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1679,axiom,
    ( sK853(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5) = sK853(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
    | Eq_x_5 != Eq_y_5
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1680,axiom,
    ( sK854(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5) = sK854(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
    | Eq_x_5 != Eq_y_5
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1681,axiom,
    ( sK855(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5) = sK855(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
    | Eq_x_5 != Eq_y_5
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1682,axiom,
    ( sK856(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5) = sK856(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
    | Eq_x_5 != Eq_y_5
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1683,axiom,
    ( sK857(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5) = sK857(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
    | Eq_x_5 != Eq_y_5
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1684,axiom,
    ( sK858(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5) = sK858(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
    | Eq_x_5 != Eq_y_5
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1685,axiom,
    ( sK859(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5) = sK859(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
    | Eq_x_5 != Eq_y_5
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1686,axiom,
    ( sK860(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5) = sK860(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
    | Eq_x_5 != Eq_y_5
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1687,axiom,
    ( sK861(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5) = sK861(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
    | Eq_x_5 != Eq_y_5
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1688,axiom,
    ( sK862(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5) = sK862(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
    | Eq_x_5 != Eq_y_5
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1689,axiom,
    ( sK863(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5) = sK863(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
    | Eq_x_5 != Eq_y_5
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1690,axiom,
    ( sK864(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5) = sK864(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
    | Eq_x_5 != Eq_y_5
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1691,axiom,
    ( sK865(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5) = sK865(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
    | Eq_x_5 != Eq_y_5
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1692,axiom,
    ( sK866(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5) = sK866(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
    | Eq_x_5 != Eq_y_5
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1693,axiom,
    ( sK867(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5) = sK867(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
    | Eq_x_5 != Eq_y_5
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1694,axiom,
    ( sK868(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5) = sK868(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
    | Eq_x_5 != Eq_y_5
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1695,axiom,
    ( sK869(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5) = sK869(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
    | Eq_x_5 != Eq_y_5
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1696,axiom,
    ( sK870(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5) = sK870(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
    | Eq_x_5 != Eq_y_5
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1697,axiom,
    ( sK871(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5) = sK871(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
    | Eq_x_5 != Eq_y_5
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1698,axiom,
    ( sK872(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5) = sK872(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
    | Eq_x_5 != Eq_y_5
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1699,axiom,
    ( sK873(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5) = sK873(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
    | Eq_x_5 != Eq_y_5
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1700,axiom,
    ( sK874(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5) = sK874(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
    | Eq_x_5 != Eq_y_5
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1701,axiom,
    ( sK875(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5) = sK875(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
    | Eq_x_5 != Eq_y_5
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1702,axiom,
    ( sK876(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5) = sK876(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
    | Eq_x_5 != Eq_y_5
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1703,axiom,
    ( sK877(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5) = sK877(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
    | Eq_x_5 != Eq_y_5
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1704,axiom,
    ( sK878(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5) = sK878(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
    | Eq_x_5 != Eq_y_5
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1705,axiom,
    ( sK879(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5) = sK879(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
    | Eq_x_5 != Eq_y_5
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1706,axiom,
    ( sK880(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5) = sK880(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
    | Eq_x_5 != Eq_y_5
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1707,axiom,
    ( sK881(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5) = sK881(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
    | Eq_x_5 != Eq_y_5
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1708,axiom,
    ( sK882(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5) = sK882(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
    | Eq_x_5 != Eq_y_5
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1709,axiom,
    ( sK883(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5) = sK883(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
    | Eq_x_5 != Eq_y_5
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1710,axiom,
    ( sK884(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5) = sK884(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
    | Eq_x_5 != Eq_y_5
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1711,axiom,
    ( sK885(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5) = sK885(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
    | Eq_x_5 != Eq_y_5
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1712,axiom,
    ( sK886(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5) = sK886(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
    | Eq_x_5 != Eq_y_5
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1713,axiom,
    ( sK887(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5) = sK887(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
    | Eq_x_5 != Eq_y_5
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1714,axiom,
    ( sK888(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5) = sK888(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
    | Eq_x_5 != Eq_y_5
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1715,axiom,
    ( sK889(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5) = sK889(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
    | Eq_x_5 != Eq_y_5
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1716,axiom,
    ( sK890(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5) = sK890(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
    | Eq_x_5 != Eq_y_5
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1717,axiom,
    ( sK891(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5) = sK891(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
    | Eq_x_5 != Eq_y_5
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1718,axiom,
    ( sK892(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5) = sK892(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
    | Eq_x_5 != Eq_y_5
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1719,axiom,
    ( sK893(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5) = sK893(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
    | Eq_x_5 != Eq_y_5
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1720,axiom,
    ( sK894(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5) = sK894(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
    | Eq_x_5 != Eq_y_5
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1721,axiom,
    ( sK895(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5) = sK895(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
    | Eq_x_5 != Eq_y_5
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1722,axiom,
    ( sK896(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5) = sK896(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
    | Eq_x_5 != Eq_y_5
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1723,axiom,
    ( sK897(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5) = sK897(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
    | Eq_x_5 != Eq_y_5
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1724,axiom,
    ( sK898(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5) = sK898(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
    | Eq_x_5 != Eq_y_5
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1725,axiom,
    ( sK899(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5) = sK899(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
    | Eq_x_5 != Eq_y_5
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1726,axiom,
    ( sK900(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5) = sK900(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
    | Eq_x_5 != Eq_y_5
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1727,axiom,
    ( sK901(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5) = sK901(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
    | Eq_x_5 != Eq_y_5
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1728,axiom,
    ( sK902(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5) = sK902(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
    | Eq_x_5 != Eq_y_5
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1729,axiom,
    ( sK903(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5) = sK903(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
    | Eq_x_5 != Eq_y_5
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1730,axiom,
    ( sK904(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5) = sK904(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
    | Eq_x_5 != Eq_y_5
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1731,axiom,
    ( sK905(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5) = sK905(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
    | Eq_x_5 != Eq_y_5
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1732,axiom,
    ( sK906(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5) = sK906(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
    | Eq_x_5 != Eq_y_5
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1733,axiom,
    ( sK907(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5) = sK907(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
    | Eq_x_5 != Eq_y_5
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1734,axiom,
    ( sK908(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5) = sK908(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
    | Eq_x_5 != Eq_y_5
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1735,axiom,
    ( sK909(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5) = sK909(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
    | Eq_x_5 != Eq_y_5
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1736,axiom,
    ( sK910(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5) = sK910(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
    | Eq_x_5 != Eq_y_5
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1737,axiom,
    ( sK911(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5) = sK911(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
    | Eq_x_5 != Eq_y_5
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1738,axiom,
    ( sK912(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5) = sK912(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
    | Eq_x_5 != Eq_y_5
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1739,axiom,
    ( sK913(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5) = sK913(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
    | Eq_x_5 != Eq_y_5
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1740,axiom,
    ( sK914(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5) = sK914(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
    | Eq_x_5 != Eq_y_5
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1741,axiom,
    ( sK915(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5) = sK915(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
    | Eq_x_5 != Eq_y_5
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1742,axiom,
    ( sK916(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5) = sK916(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
    | Eq_x_5 != Eq_y_5
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1743,axiom,
    ( sK917(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5) = sK917(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
    | Eq_x_5 != Eq_y_5
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1744,axiom,
    ( sK918(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5) = sK918(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
    | Eq_x_5 != Eq_y_5
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1745,axiom,
    ( sK919(Eq_x_0) = sK919(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1746,axiom,
    ( sK920(Eq_x_0) = sK920(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1747,axiom,
    ( sK921(Eq_x_0) = sK921(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1748,axiom,
    ( sK922(Eq_x_0) = sK922(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1749,axiom,
    ( sK923(Eq_x_0) = sK923(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1750,axiom,
    ( sK924(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = sK924(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1751,axiom,
    ( sK925(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = sK925(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1752,axiom,
    ( sK926(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = sK926(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1753,axiom,
    ( sK927(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = sK927(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1754,axiom,
    ( sK928(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = sK928(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1755,axiom,
    ( sK929(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = sK929(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1756,axiom,
    ( sK930(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = sK930(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1757,axiom,
    ( sK931(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = sK931(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1758,axiom,
    ( sK932(Eq_x_0,Eq_x_1) = sK932(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1759,axiom,
    ( sK933(Eq_x_0,Eq_x_1,Eq_x_2) = sK933(Eq_y_0,Eq_y_1,Eq_y_2)
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1760,axiom,
    ( sK934(Eq_x_0,Eq_x_1,Eq_x_2) = sK934(Eq_y_0,Eq_y_1,Eq_y_2)
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1761,axiom,
    ( sK935(Eq_x_0,Eq_x_1,Eq_x_2) = sK935(Eq_y_0,Eq_y_1,Eq_y_2)
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1762,axiom,
    ( sK936(Eq_x_0,Eq_x_1,Eq_x_2) = sK936(Eq_y_0,Eq_y_1,Eq_y_2)
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1763,axiom,
    ( sK937(Eq_x_0,Eq_x_1,Eq_x_2) = sK937(Eq_y_0,Eq_y_1,Eq_y_2)
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1764,axiom,
    ( sK938(Eq_x_0,Eq_x_1,Eq_x_2) = sK938(Eq_y_0,Eq_y_1,Eq_y_2)
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1765,axiom,
    ( sK939(Eq_x_0,Eq_x_1,Eq_x_2) = sK939(Eq_y_0,Eq_y_1,Eq_y_2)
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1766,axiom,
    ( sK940(Eq_x_0,Eq_x_1,Eq_x_2) = sK940(Eq_y_0,Eq_y_1,Eq_y_2)
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1767,axiom,
    ( sK941(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = sK941(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1768,axiom,
    ( sK942(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = sK942(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1769,axiom,
    ( sK943(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = sK943(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1770,axiom,
    ( sK944(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = sK944(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1771,axiom,
    ( sK945(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = sK945(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1772,axiom,
    ( sK946(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = sK946(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1773,axiom,
    ( sK947(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = sK947(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1774,axiom,
    ( sK948(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = sK948(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1775,axiom,
    ( sK949(Eq_x_0,Eq_x_1) = sK949(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1776,axiom,
    ( sK950(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5,Eq_x_6) = sK950(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5,Eq_y_6)
    | Eq_x_6 != Eq_y_6
    | Eq_x_5 != Eq_y_5
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1777,axiom,
    ( sK951(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5,Eq_x_6) = sK951(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5,Eq_y_6)
    | Eq_x_6 != Eq_y_6
    | Eq_x_5 != Eq_y_5
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1778,axiom,
    ( sK952(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5,Eq_x_6) = sK952(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5,Eq_y_6)
    | Eq_x_6 != Eq_y_6
    | Eq_x_5 != Eq_y_5
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1779,axiom,
    ( sK953(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5,Eq_x_6) = sK953(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5,Eq_y_6)
    | Eq_x_6 != Eq_y_6
    | Eq_x_5 != Eq_y_5
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1780,axiom,
    ( sK954(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5) = sK954(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
    | Eq_x_5 != Eq_y_5
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1781,axiom,
    ( sK955(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5) = sK955(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
    | Eq_x_5 != Eq_y_5
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1782,axiom,
    ( sK956(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5) = sK956(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
    | Eq_x_5 != Eq_y_5
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1783,axiom,
    ( sK957(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5) = sK957(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
    | Eq_x_5 != Eq_y_5
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1784,axiom,
    ( sK958(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5) = sK958(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
    | Eq_x_5 != Eq_y_5
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1785,axiom,
    ( sK959(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5) = sK959(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
    | Eq_x_5 != Eq_y_5
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1786,axiom,
    ( sK960(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5) = sK960(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
    | Eq_x_5 != Eq_y_5
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1787,axiom,
    ( sK961(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = sK961(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1788,axiom,
    ( sK962(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5,Eq_x_6,Eq_x_7) = sK962(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5,Eq_y_6,Eq_y_7)
    | Eq_x_7 != Eq_y_7
    | Eq_x_6 != Eq_y_6
    | Eq_x_5 != Eq_y_5
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1789,axiom,
    ( sK963(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = sK963(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1790,axiom,
    ( sK964(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = sK964(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1791,axiom,
    ( sK965(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5,Eq_x_6) = sK965(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5,Eq_y_6)
    | Eq_x_6 != Eq_y_6
    | Eq_x_5 != Eq_y_5
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1792,axiom,
    ( sK966(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5,Eq_x_6) = sK966(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5,Eq_y_6)
    | Eq_x_6 != Eq_y_6
    | Eq_x_5 != Eq_y_5
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1793,axiom,
    ( sK967(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5,Eq_x_6) = sK967(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5,Eq_y_6)
    | Eq_x_6 != Eq_y_6
    | Eq_x_5 != Eq_y_5
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1794,axiom,
    ( sK968(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5,Eq_x_6) = sK968(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5,Eq_y_6)
    | Eq_x_6 != Eq_y_6
    | Eq_x_5 != Eq_y_5
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1795,axiom,
    ( sK969(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5,Eq_x_6) = sK969(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5,Eq_y_6)
    | Eq_x_6 != Eq_y_6
    | Eq_x_5 != Eq_y_5
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1796,axiom,
    ( sK970(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5,Eq_x_6) = sK970(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5,Eq_y_6)
    | Eq_x_6 != Eq_y_6
    | Eq_x_5 != Eq_y_5
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1797,axiom,
    ( sK971(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5,Eq_x_6) = sK971(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5,Eq_y_6)
    | Eq_x_6 != Eq_y_6
    | Eq_x_5 != Eq_y_5
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1798,axiom,
    ( sK972(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5,Eq_x_6) = sK972(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5,Eq_y_6)
    | Eq_x_6 != Eq_y_6
    | Eq_x_5 != Eq_y_5
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1799,axiom,
    ( sK973(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4) = sK973(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1800,axiom,
    ( sK974(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4) = sK974(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1801,axiom,
    ( sK975(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4) = sK975(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1802,axiom,
    ( sK976(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4) = sK976(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1803,axiom,
    ( sK977(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4) = sK977(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1804,axiom,
    ( sK978(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5) = sK978(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
    | Eq_x_5 != Eq_y_5
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1805,axiom,
    ( sK979(Eq_x_0,Eq_x_1,Eq_x_2) = sK979(Eq_y_0,Eq_y_1,Eq_y_2)
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1806,axiom,
    ( sK980(Eq_x_0,Eq_x_1) = sK980(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1807,axiom,
    ( sK981(Eq_x_0,Eq_x_1) = sK981(Eq_y_0,Eq_y_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1808,axiom,
    ( sK982(Eq_x_0) = sK982(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1809,axiom,
    ( sK983(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5) = sK983(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
    | Eq_x_5 != Eq_y_5
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1810,axiom,
    ( sK984(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5) = sK984(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
    | Eq_x_5 != Eq_y_5
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1811,axiom,
    ( sK985(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5) = sK985(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
    | Eq_x_5 != Eq_y_5
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1812,axiom,
    ( sK986(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5) = sK986(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
    | Eq_x_5 != Eq_y_5
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1813,axiom,
    ( sK987(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5) = sK987(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
    | Eq_x_5 != Eq_y_5
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1814,axiom,
    ( sK988(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5) = sK988(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
    | Eq_x_5 != Eq_y_5
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1815,axiom,
    ( sK989(Eq_x_0) = sK989(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1816,axiom,
    ( sK990(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5,Eq_x_6) = sK990(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5,Eq_y_6)
    | Eq_x_6 != Eq_y_6
    | Eq_x_5 != Eq_y_5
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1817,axiom,
    ( sK991(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5,Eq_x_6,Eq_x_7) = sK991(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5,Eq_y_6,Eq_y_7)
    | Eq_x_7 != Eq_y_7
    | Eq_x_6 != Eq_y_6
    | Eq_x_5 != Eq_y_5
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1818,axiom,
    ( sK992(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5,Eq_x_6,Eq_x_7) = sK992(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5,Eq_y_6,Eq_y_7)
    | Eq_x_7 != Eq_y_7
    | Eq_x_6 != Eq_y_6
    | Eq_x_5 != Eq_y_5
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1819,axiom,
    ( sK993(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5,Eq_x_6,Eq_x_7) = sK993(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5,Eq_y_6,Eq_y_7)
    | Eq_x_7 != Eq_y_7
    | Eq_x_6 != Eq_y_6
    | Eq_x_5 != Eq_y_5
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1820,axiom,
    ( sK994(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5,Eq_x_6,Eq_x_7) = sK994(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5,Eq_y_6,Eq_y_7)
    | Eq_x_7 != Eq_y_7
    | Eq_x_6 != Eq_y_6
    | Eq_x_5 != Eq_y_5
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1821,axiom,
    ( sK995(Eq_x_0) = sK995(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1822,axiom,
    ( sK996(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5,Eq_x_6) = sK996(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5,Eq_y_6)
    | Eq_x_6 != Eq_y_6
    | Eq_x_5 != Eq_y_5
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1823,axiom,
    ( sK997(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5,Eq_x_6) = sK997(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5,Eq_y_6)
    | Eq_x_6 != Eq_y_6
    | Eq_x_5 != Eq_y_5
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1824,axiom,
    ( sK998(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5,Eq_x_6) = sK998(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5,Eq_y_6)
    | Eq_x_6 != Eq_y_6
    | Eq_x_5 != Eq_y_5
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1825,axiom,
    ( sK999(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5) = sK999(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
    | Eq_x_5 != Eq_y_5
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1826,axiom,
    ( sK1000(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5) = sK1000(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
    | Eq_x_5 != Eq_y_5
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1827,axiom,
    ( sK1001(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5) = sK1001(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
    | Eq_x_5 != Eq_y_5
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1828,axiom,
    ( sK1002(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5) = sK1002(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
    | Eq_x_5 != Eq_y_5
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1829,axiom,
    ( sK1003(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5,Eq_x_6,Eq_x_7,Eq_x_8,Eq_x_9) = sK1003(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5,Eq_y_6,Eq_y_7,Eq_y_8,Eq_y_9)
    | Eq_x_9 != Eq_y_9
    | Eq_x_8 != Eq_y_8
    | Eq_x_7 != Eq_y_7
    | Eq_x_6 != Eq_y_6
    | Eq_x_5 != Eq_y_5
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1830,axiom,
    ( sK1004(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5,Eq_x_6,Eq_x_7) = sK1004(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5,Eq_y_6,Eq_y_7)
    | Eq_x_7 != Eq_y_7
    | Eq_x_6 != Eq_y_6
    | Eq_x_5 != Eq_y_5
    | Eq_x_4 != Eq_y_4
    | Eq_x_3 != Eq_y_3
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_1831,axiom,
    ( is_bool(Eq_y_0)
    | ~ is_bool(Eq_x_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_predicates]) ).

cnf(equality_1832,axiom,
    ( is_bop(Eq_y_0)
    | ~ is_bop(Eq_x_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_predicates]) ).

cnf(equality_1833,axiom,
    ( is_fun1083000568p_bool(Eq_y_0)
    | ~ is_fun1083000568p_bool(Eq_x_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_predicates]) ).

cnf(equality_1834,axiom,
    ( hBOOL(Eq_y_0)
    | ~ hBOOL(Eq_x_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_predicates]) ).

cnf(sat_proved,plain,
    $false,
    inference(cadical,[status(thm)],[]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWW478+3 : TPTP v9.3.1. Released v5.3.0.
% 0.00/0.03  This is a FOF_THM_RFO_SEQ problem
% 0.00/0.04  % Command  : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.37  % Computer : n004.cluster.edu
% 0.09/0.37  % Model    : x86_64 x86_64
% 0.09/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37  % Memory   : 8046.5625MB
% 0.09/0.37  % OS       : Linux 6.8.0-71-generic
% 0.09/0.37  % CPULimit : 300
% 0.09/0.37  % WCLimit  : 300
% 0.09/0.37  % DateTime : Sun Sep 20 05:44:49 UTC 2026
% 0.09/0.37  % CPUTime  : 
% 4.45/4.76  % SZS status Theorem for theBenchmark
% 4.45/4.76  % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------